Math Homework Questions & Answers Archive

Let's solve the exponential equation 3e^x=60. (a) First, we isolate e^x to get the equivalent equation . (b) Next, we take ln of each side to get the equivalent equation . (c) Now we use a calculator to find x= (Round your answer to three decimal places.)

Does the function f(x)=0.2(1.21)^x represent exponential growth decay, or neither? The function represents exponential growth because b>1. The function represents exponential growth because 0<b<1. The function represents exponential decay because b>1. The function represents exponential decay because 0<b<1. The function represents neither because a<1. The function represents neither because it is not exponential.

Homework Question 15, 7.2.5-T HW Score: 52%, 13 of 25 points Points: 0 of 1 Save Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα / 2, (b) find the critical value zα / 2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 99%, σ is not known, and the normal quantile plot of the 17 salaries (in thousands of dollars) of basketball players on a team is as shown. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. tα / 2= (Round to two decimal places as needed.) B. zα / 2= (Round to two decimal places as needed.) C. Neither the normal distribution nor the t distribution applies. Clear all Check answer Get more help

Simplify -√400 (Enter ∅ if your answer is not a real number.)

QUESTION Z - 1 POINT The amount of soda consumed by Americans per day is normally distributed with a mean of 12.1 ounces and a standard deviation of 5.06 ounces. What is the probability that more than 10 ounces of soda are consumed by women over 50 ? Round all answers to 3 decimal places where possible. Provide your answer below: P(x>10)=

Rational Expressions Adding rational expressions with common denominators Add. -((5x-5y)/(8x))+((2x-7y)/(8x)) Simplify your answer as much as possible.

7x - y = 6 3x + 2y = 22

Find the following matrix product, if it exists. [-3 9 7; 4 0 6; -9 -1 -4][5 -1; 1 0; 8 -7] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. [-3 9 7; 4 0 6; -9 -1 -4][5 -1; 1 0; 8 -7]= (Simplify your answer.) B. The product does not exist.

The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, whenever these products exist. A is 1 x 3, and B is 3 x 1. Find the size of the product AB. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The size of product AB is x II B. The product AB does not exist.

Simplify the expression. 3 · 7-6 · 2 3 · 7-6 · 2=

Multiply. □=7 × 1/8

The mean value of land and buildings per acre from a sample of farms is 1500, with a standard deviation of 200. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 75. (a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between 1100 and 1900. farms (Round to the nearest whole number as needed.)

If X̄=79, S=14, and n=25, and assuming that the population is normally distributed, construct a 90% confidence interval estimate of the population mean, μ. ≤ μ ≤ (Round to two decimal places as needed.)

James is interested in the relationship between weather conditions and whether the downtown train he sometimes takes runs on time. For a year, James records whether each day is sunny, cloudy, rainy, or snowy, as well as whether this train arrives on time or is delayed. His results are displayed in the table below. Weather condition On time Delayed Total Sunny 167 3 170 Cloudy 115 5 120 Rainy 40 15 55 Snowy 8 12 20 Total 330 35 365 Which graph displays the conditional distributions of arrival status for each weather condition?

Suppose f(x)=15x-3. f(z-4)+f(4z)=

A typical candy bar contains 281 food calories, which is 281 kcal . How many kilojoules are contained in one such candy bar?

Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) f(x) = 8x + 2 f(1) = f(-2) = f(1/2) = f(a) = f(-a) = f(a-1) =

Find all solutions of the system of equations algebraically. Write your solutions as coordinate points. y=-3 x^2+26 x-46 x+y=8

Simplify. √(y^17)

The relative frequency histogram represents the length of phone calls on George's cell phone during the month of September. Determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable.

1 Video is recorded at 59.94 frames per second. Calculate time between one video frame in seconds. Record in Lab Data to 4 decimal places

Find the mean of the following probability distribution? x P(x) 0 0.2796 1 0.328 2 0.0914 3 0.0689 4 0.2321 Round your answer to 1 decimal place. mean =

First-semester GPAs for a random selection of freshmen at a large university are shown. Estimate the true mean GPA of the freshman class with 99% confidence. Assume σ=0.62. Round intermediate and final answers to two decimal places. Assume the population is normally distributed. 2.7, 3.1, 3.8, 3.0, 3.2, 2.8, 2.7, 2.5, 1.9, 2.0, 2.7, 3.8, 3.0, 2.8, 3.3, 2.7, 2.9, 2.0, 3.2, 1.9, 2.8, 2.2, 4.0, 1.9, 2.8, 2.0, 2.7

Pedro is going to see a movie and is taking his 3 kids. Each movie ticket costs 15 and there are an assortment of snacks available to purchase for 4.50 each. How much total money would Pedro have to pay for his family if he were to buy 6 snacks for everybody to share? How much would Pedro have to pay if he bought x snacks for everybody to share?

Overweight Men For a random sample of 65 overweight men, the mean of the number of pounds that they were overweight was 29. The standard deviation of the population is 4.5 pounds. Part 1 of 4 (a) The best point estimate of the mean is 29 pounds. Part 2 of 4 (b) Find the 90% confidence interval of the mean of these pounds. Round intermediate answers to at least three decimal places. Round your final answers to one decimal place. 28.1<μ<29.9 Part 3 of 4 (c) Find the 95% confidence interval of the mean of these pounds. Round intermediate answers to at least three decimal places. Round your final answers to one decimal place. 27.9<μ<30.1 Part 4 of 4 (d) Which interval is larger? Why? The 99% confidence interval is larger. An interval with a greater range of values than the 99% confidence interval will be more likely to contain the true population mean.

Find the sum of the convergent series. 25-5+1-(1/5)+...

(x^2-3)+(1/(x-7))

Question 14 What is the smallest sample size that guarantees that the margin of error is less than 10 when constructing a 98% confidence interval for a population mean with the assumed population standard deviation of 335.22? (Round UP to the nearest integer)

Find each of the following. Enter your answers rounded to at least two decimal places. Part 1 of 5 zα / 2 for the 95% confidence interval zα / 2=1.96 Part 2 of 5 zα / 2 for the 86% confidence interval zα / 2=1.48 Part 3 of 5 zα / 2 for the 90% confidence interval zα / 2=1.64 Part 4 of 5 zα / 2 for the 99% confidence interval Part 5 of 5 zα / 2 for the 85% confidence interval

Solve the following equation. -0.5(2x-5)=0.5(3-3x) If the equation is an identity then enter oo for infinity, or "All Real Numbers". x=

Find the determinant of the matrix: 12 -4 0 -8 8 0 4 32 4 -512 -448 0 256 192

Question 12, P1.131 The formulas model the average cost of tuition and fees, T, at private colleges for the school year ending x years after 2010. The graph shows average cost of tuition and fees at private four-year colleges Model 1: T=26 x^2+819 x+15,925 Model 2: T = 801 x+18,629 Answer parts a and b a. Use each formula to find the average cost of tuition and fees at private colleges for the school year ending in 2020. By how much does each model underestimate or overestimate the actual cost for the school year ending in 2020? Use the formula T=26 x^2+819 x+15,925 to find the average cost of tuition and fees at private colleges for the school year ending in 2020. Using the formula, the cost of tuition and fees for the school year ending in 2020 was (Simplify your answer. Do not include the symbol in your answer)

For what values of the variable does each of the following expressions make sense? sqrt((1+3a)/25)

Use the Generalized Power Rule to find the derivative of the function. f(x)=1/(sqrt(5 x^2-5 x+8)) f'(x)=

Which situations are modeled accurately by a periodic 22 function? Select all that apply. the height of a ball tossed in the air as a function of time the vertical height of a point on a rotating wheel as a function of time the height of a swinging pendulum as a function of time the distance from the earth to the moon as a function of time

Divide. (8 x^2 y+5 x y-9 x)/(x y)

When birth weights were recorded for a simple random sample of 12 male babies born to mothers in a region taking a special vitamin supplement, the sample had a mean of 3.658 kilograms and a standard deviation of 0.661 kilogram. Use a 0.05 significance level to test the claim that the mean birth weight for all male babies of mothers given vitamins is different from 3.38 kilograms, which is the mean for the population of all males in this particular region. Based on these results, does the vitamin supplement appear to have an effect on birth weight? P-value = 0.173 (Round to three decimal places as needed.) State the conclusion. A. Do not reject H0. There is sufficient evidence to support the claim that the mean birth weight for all male babies of mothers given vitamins is different from 3.38 kilograms. Vitamin supplements do appear to have an effect on birth weight. B. Reject H0. There is not sufficient evidence to support the claim that the mean birth weight for all male babies of mothers given vitamins is different from 3.38 kilograms. Vitamin supplements do not appear to have an effect on birth weight. C. Do not reject H0. There is not sufficient evidence to support the claim that the mean birth weight for all male babies of mothers given vitamins is different from 3.38 kilograms. Vitamin supplements do not appear to have an effect on birth weight. D. Reject H0. There is sufficient evidence to support the claim that the mean birth weight for all male babies of mothers given vitamins is different from 3.38 kilograms. Vitamin supplements do appear to have an effect on birth weight.

Multiple Choice Question Given the equation -1/2+1/3+2/4, select the LCD: 6 8 12 10

Write the slope-intercept form of the equation of the line through the given point with the given slope. 43) through: (-2,-4), slope = 1

Find the area of the inner loop of the limaçon (r=frac25-frac45 sin theta). Write the exact answer. Do not round.

Use the box-and-whisker plot to identify the five-number summary. Min = Q1 = Q2 = Q3 = Max =

Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability. Find P(3) when p=0.80. P(3) = (Round to five decimal places as needed.)

The data show the distance (in miles) from an airport of a sample of 22 inbound and outbound airplanes. Use technology to answer parts (a) and (b). a. Find the data set's first, second, and third quartiles. b. Draw a box-and-whisker plot that represents the data set. 3.3 1.9 2.1 3.1 2.7 2.3 2.3 4.1 2.4 5.7 5.9 3.8 5.2 3.9 2.3 4.8 4.8 5.8 3.3 5.1 5.1 2.5 a. Find the three quartiles. Q1= Q2= Q3= (Type integers or decimals. Do not round.) b. Choose the correct box-and-whisker plot below.

Participation Activity #7 This is similar to Try It #1 in the OpenStax text. Solve the system of equations in three variables. 2x + y - 2z = -2 3x - 3y - z = 10 x - 2y + 3z = 12 Enter the exact answer as an ordered triple, (x, y, z). Include a multiplication sign between symbols. For example, a * x.

Sem 1 2.1.3 Quiz Properties of Addition Question 1 of 10 Both sides of the expression below are equal. (7+8)+4=(4+8)+7 A. True B. False

The slope of the line is undefined. Interpret the slope in terms of rise and run. Select the best choice below and, if necessary, fill in the answer box to complete your choice. (Type a positive number.) A. The graph rises unit(s) for each 2 unit(s) of run. B. The graph falls unit(s) for each 2 unit(s) of run. C. The rise always equals 0. D. The run always equals 0.

Draw a graph to match the description given. H(x) is decreasing over (-∞, ∞), but the derivative does not exist at x=-4.

Find the function that is finally graphed after the following transformations are applied to the graph of y=sqrt(x) in the order listed (1) Reflect about the x-axis (2) Shift up 4 units (3) Shift right 9 units

Thirty percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five. (a) Find the probability that the number that prefer to purchase electronics online is exactly five. P(5)= (Round to three decimal places as needed.)

Participation Activity #6 This is similar to Try It #8 in the OpenStax text. Meal tickets at the circus cost 4.00 for children and 12.00 for adults. If 1,850 meal tickets were bought for a total of 15,800, how many children and how many adults bought meal tickets? Enter the exact answers. The number of adult meal tickets sold was Number . The number of child meal tickets sold was Number .

An irrigation sprinkler in a field of lettuce sprays water over a distance of 35 feet as it rotates through an angle of 145°. What area of the field receives water? Round to two decimal places.

Use the quotient rule to simplify. Assume that all variables represent positive real numbers. -∛(z^8 / 64x^3) -∛(z^8 / 64x^3) = □ (Simplify your answer. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals as needed.

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function shown below. h(x) = sqrt(x+5)

An investor purchased an SP 100 (OEX) July 720 Call 6.50. He exercises the option when the index is at 731.26. The investor has a: A 4.76 gain B 4.76 loss C 476.00 gain D 476.00 loss

Suppose we are given the following. Line 1 passes through (-2,2) and (2,-8). Line 2 passes through (0,-1) and (5,6). Line 3 passes through (4,-7) and (2,-2). (a) Find the slope of each line. Slope of Line 1= Slope of Line 2= Slope of Line 3= (b) For each pair of lines, determine whether they are parallel, perpendicular, or neither. Line 1 and Line 2: Parallel Perpendicular Neither Line 1 and Line 3: Parallel Perpendicular Neither Line 2 and Line 3: Parallel Perpendicular Neither

The table contains the state population and the number of licensed drivers in the state (both in millions) for the states with population under 1 million in 2014. The regression model for this data is y=0.63x+0.01 where x is the state population (in millions) and y is the number of licensed drivers (in millions) in the state. Licensed Drivers in 2014 State Population Licensed Drivers A 0.78 0.51 B 0.92 0.59 C 0.90 0.63 D 0.75 0.49 E 0.83 0.54 F 0.81 0.39 O 0.50 0.38 (A) Draw a scatter plot of the data and a graph of the model on the same axes. Choose the correct graph below. A. a. c. 0. (b) if the population of state H in 2014 was about 1.8 million, use the model to estimate the number of licensed drivers in state H in 2014. The estimated number of licensed drivers in state H in 2014 is (Type a whole number. Round to the nearest thousand as needed.)

System C Line 1: y = -1/2 x + 3 Line 2: y = x + 3 - The system has exactly one solution. Solution: (II, ) The system has infinitely many solutions. The system has no solution.

Find the amplitude (if one exists), period, and phase shift of the function. Graph the function. Be sure to label key points. Show at least two periods. y=-6 sin(3x + π/2) What is the amplitude? Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. The amplitude is . (Simplify your answer. Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.) B. The function does not have an amplitude.

Question 2, 1.3.9-BE Part 1 of 4 HW Score: 6.25%, 0.5 of 8 points Points: 0 of 1 The table lists fossil fuel production as a percentage of total energy production for selected years. A linear regression model for this data is y = -0.35 x + 96.4 where x represents years after 1960 and y represents the corresponding percentage of oil imports. Fossil Fuel Production Year Production (%) 1960 96 1970 96 1980 86 1990 85 2000 84 (A) Draw a scatter plot of the data and a graph of the model on the same axes.

Question 3 What is the standard deviation? This is sample data 12,13,15,16,24,15,22,10,9,13,13,18,16,25,23,24 Round to two decimals

Solve the equation by the method of your choice. x^2 + 4x = 10 The solution set is □ (Simplify your answer, including any radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

Determine whether the following individual events are independent or dependent. Then find the probability of the combined event. Drawing three kings in a row from a standard deck of cards when the drawn card is returned to the deck each time Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) A. The individual events are dependent. The probability of the combined event is . B. The individual events are independent. The probability of the combined event is

Use the probability distribution to complete parts (a) through (d) below. The probability distribution of number of televisions per household in a small town x 0 1 2 3 P(x) 0.03 0.18 0.26 0.53 (a) Find the probability of randomly selecting a household that has one or two televisions. The probability is . (Type an integer or a decimal. Do not round.)

1.3 Homework - Modeling with Linear Equations (6) Interest in 3% fund + Interest in 4 1/2% fund = Total interest Now assign labels. Recall that the total amount invested in both the funds is 18,000. Amount in 3% fund = x Amount in 4 1/2% fund = 18,000 - x Interest in 3% fund = 0.03x Interest in 4 1/2% fund = 0.045(18,000 - x) Step 2 Substitute these labels into the above verbal model to form an algebraic equation. Recall that the total interest Equation: 0.03x + 0.045(18,000 - x) = 800

Given: triangle EFG; with right angle angle F Prove: angle E and angle G are complementary. Statements: Reasons: 1. triangle EFG with right angle angle F 1. 2. m angle F=90 2. 3. m angle E+m angle F+m angle G=180 3. 4. m angle E+90+m angle G=180 4. 5. m angle E+m angle G=90 5. 6. angle E and angle G are complementary. 6.

After finding the transpose of matrix (A) below, locate the value of (a42^T). [ left[beginarraycccccc 13 6 2 4 7 8 11 15 3 0 9 12 endarrayright] ] (a42^T=textEx:0 0)

Find all the angles θ in [0°, 360°) that have a sin(θ) = -√2/2.

Subtract. 3/4 - 2/9 Write your answer as a fraction in simplest form.

Quadratic Equations and Functions Solving a quadratic equation using the square root property: Exact.: Solve (x^2=48), where (x) is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas If there is no solution, click "No solution." [ x= ] (sqrtsquare)

In the economic production quantity (EPQ) model, costs are analogous to ordering costs.

Calculate sin θ if a=5 and c=6.

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a (a) What is the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips, inclusive? (b) What is the probability that a randomly selected bag contains fewer than 1000 chocolate chips? (c) What proportion of bags contains more than 1175 chocolate chips? (d) What is the percentile rank of a bag that contains 1000 chocolate chips? (a) The probability that a randomly selected bag contains between 1000 and 1400 chocolate chips, inclusive, is 0.8490 . (Round to four decimal places as needed.) (b) The probability that a randomly selected bag contains fewer than 1000 chocolate chips is 0.0254 . (Round to four decimal places as needed.) (c) The proportion of bags that contains more than 1175 chocolate chips is 0.7247 . (Round to four decimal places as needed.) (d) A bag that contains 1000 chocolate chips is in the rd percentile. (Round to the nearest integer as needed.)

tan(sin^(-1)(4/7))

Add and simplify. 1/15 + 5/12 = (Simplify your answer. Type a whole number or a fraction.)

Perform the indicated operation. If possible, reduce the answer to its lowest terms. 3/10 + 4/5 3/10 + 4/5 = (Simplify your answer. Type a whole number, fraction, or mixed number.)

Find the slope and the y-intercept of the line. -2x-3y=-9 Write your answers in simplest form. slope: y-intercept:

Use ZERO (or ROOT) to approximate the positive x-intercept(s) of the equation. y=x^4-3.8x^3-35.99x^2+75.24x+392.04

Use synthetic division to decide whether the given number k is a zero of the polynomial function. If it is not, give the value of f(k) f(x)=2x^3-11x^2-3x+56; k=4 Is 4 a zero of the function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. The given k is not a zero of the polynomial function f(4)= B. The given k is a zero of the polynomial function.

Testing for Linear Independence In Exercises 29-40, determine whether the set S is linearly independent or linearly dependent. 39. S=(4,-3,6,2),(1,8,3,1),(3,-2,-1,0)

xyz^3 - xy^3z + x^3yz

A normal population has a mean of 55 and a standard deviation of 9. What is the 84th percentile of the population? Use the π-84 Plus calculator. Round the answer to at least one decimal place.

Sharon and Luigi are working together on an assignment. They have broken down the parts of the same size. Sharon works at 3 times the speed of Luigi but has 7 pieces of another subject.

A card is drawn randomly from a standard 52-card deck. Find the following: Write all answers as simplified fractions (not mixed numbers). Probability the card drawn is a face card Probability the card drawn is not a face card. Odds in favor of drawing a face card Odds against drawing a face card

A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need a fence along the river. What are (a) Experiment with the problem by drawing several diagrams illustrating the situation. Calculate the area of each configuration, and use your results to estimate the comma-separated list.) (b) Find a function that models the area of the field in terms of one of its sides. A(x)=

f(x)=4 x(x-3)^2(x+6)^3

78.96 ÷ 6

Solve the exponential equation. Round to three decimal places when needed. 5(0.8^x)=4 x=

The accompanying data set lists the F-scale intensities of recent tornadoes in the United States. Construct a frequency distribution. Do the intensities appear to have a normal distribution? Assume that the intensities are quantitative. Click the icon to view the F-scale intensities. Complete the frequency distribution. F-Scale Intensity Frequency 0 22 1 13 2 2 3 2 4 1 (Type whole numbers.) Do the intensities appear to have a normal distribution? A. No, because while the frequencies start low, proceed to one or two high frequencies, then decrease to a low frequency, the distribution is not symmetric. B. No, because the frequencies start at a maximum and become low, and because the distribution is not symmetric. C. No, because while the distribution is approximately symmetric, the frequencies start at a maximum and become low. D. Yes, because the frequencies start low, proceed to one or two high frequencies, then decrease to a low frequency, and the distribution is approximately symmetric.

Write the polynomial that represents the perimeter of the figure pictured below. Perimeter =

Use properties of exponents to find the value of log8 1. (1 point) 1 1/8 8 0

Factor 15 x^2-16 x+4 by grouping. Each answer box needs to be filled, enter coefficients of 1 and constants of 0. 'x- 'x 'x- ソ

Find the domain of the function. f(x)=1/(sqrt(x+4)) What is the domain of f ? A. [-4, infinity) B. [0, infinity) C. (-infinity,-4) U (-4, infinity) D. (-4, infinity)

Find the (x)-component of this vector:

Question 9, 5.1 VQ-2 HW Score: 43.33%, 6.5 of 15 points Points: 0 of 1 Save Watch the video and then solve the problem given below. Click here to watch the video An exponential decay function can be used to model the number of grams of a radioactive material that remain after a period of time. A radioactive isotope has given by y = 100e^(-0.0258t), where t is the number of years after 1 year and y is the amount remaining after t years. (a) The amount of a radioactive isotope remaining after 3500 years is approximately grams. (Type an integer or decimal rounded to the nearest tenth as needed.) Clear all Check Part Ask my Instructor Question list Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9

The equation (2^x+1=19) can be solved exactly and written in the form of (fraclog a blog c-d), where (a, b, c), and (d) represent digits. Place the value of (a) in the first box. Place the value of (b) in the second box. Place the value of (c) in the third box. Place the value of (d) in the fourth box. 1 9 2 1

Area of a triangle Find the area of the triangle below. Be sure to include the correct unit in your answer.

Find all zeros of f(x)=x^3+x^2+x+1. Enter the zeros separated by commas.

Use integration by parts to evaluate the integral: [ int fracln (t)t^7 d t= ]

Solve. 2x/5 - x = x/15 - 8/3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is . (Type an integer or a simplified fraction.) B. The solution set is x x is a real number . C. The solution set is ∅.

Add 3/4 + 3/4. Simplify the answer and write as a mixed number.

Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of liters) is given by the function C(x)=x^3-2x^2+3x+50, where x>0. a) Where is C(x) decreasing? b) Where is C(x) increasing? a) Select the correct choice below and fill in any answer boxes within your choice. A. The function is decreasing on the open interval(s) 1. (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The function is never decreasing.

Factor (6 x^4-5 x^2+12 x^2-10) by grouping. What is the resulting expression? ((6 x+5)(x^2-2)) ((6 x-5)(x^2+2)) ((6 x^2+5)(x^2-2)) ((6 x^2-5)(x^2+2))

Encuentre la derivada mixta de la siguiente función f(x, y)=sqrt(2 x^2+y^2) fx y=-2 x y(2 x^2+y^2)^-3 / 2 fx y=-4 x y(2 x^2+y^2)^-1 / 2 A B fx y=-4 x^2(2 x^2+y^2)^-3 / 2

Find the entire domain on which the function f is one-to-one and non-decreasing. Write the domain in interval notation. f(x) = (x+5)^2 [-5, infinity) Find the inverse of f restricted to that domain. f^(-1)(x) = [0, infinity) To help Identify a domain on which the function is non-decreasing, determine an interval on the x-axis for which the function values increase as the x-values increase. Graphing the function may be useful. How does restricting the domain to this interval make the function one-to-one? How does the restricted domain determine which root, positive or negative, should be considered when finding the inverse of the quadratic function?

Subtract. 4 1/5 - 2 2/5

Write an equation for a rational function with: Vertical asymptotes of x=1 and x=3 x intercepts at (-7,0) and (-1,0) y intercept at (0,5) Use y as the output variable. You may leave your answer in factored form.

Suppose a simple random sample of size n=150 is obtained from a population whose size is N=30,000 and whose population proportion with a specified characteristic is p=0.8. Complete parts (a) through (c) below. (b) What is the probability of obtaining x=123 or more individuals with the characteristic? That is, what is P(p̂ ≥ 0.82)? P(p̂ ≥ 0.82)= (Round to four decimal places as needed.) (c) What is the probability of obtaining x=114 or fewer individuals with the characteristic? That is, what is P(p̂ ≤ 0.76)? P(p̂ ≤ 0.76)= (Round to four decimal places as needed.)

Decide which method (theoretical, relative frequency, or subjective) is appropriate, and compute or estimate the following probability. An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a red 10? Which method is appropriate? The subjective method The theoretical method The relative frequency method The probability of drawing a red 10 is (Type an integer or a simplified fraction.)

Differentiate the function. g(x)=2 x+7 g'(x)=

Approximating the mean of a data set given a histogram Archie is fed up with waiting in line at his local post office and decides to take action. Over the course of the next few months, Archie records the waiting times for each of a random selection of 28 post office visits made by him and other customers. These waiting times (in minutes) are summarized in the following histogram. Based on the histogram, estimate the mean waiting time (in minutes) for Archie's sample. Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place.

Standardized Test: You are trying to answer a multiple-choice question on a standardized test. There are five choices. If you get the question right, you gain one point, and if you get it wrong, you lose 1/3 point. Assume you can eliminate one of the five choices, and you choose one of the remaining four at random as your answer. What is the expected value of the number of points you get? Round the answer to four decimal places. The expected value of the number of points you get is .

An auditorium with a flat floor has a large screen on one wall. The lower edge of the screen is 3 ft above eye level and the upper edge of the screen is 11 ft above eye level (see figure). How far from the screen should you stand to maximize your viewing angle? You should stand ft from the screen to maximize your viewing angle. (Type an exact answer, using radicals as needed.)

Question 8 (1 point) The population of a small village is now 807, which is 3 times what it was 5 years ago. If the population continues to increase exponentially at this rate, then the population 7 years from now will be 3757 1560 2905 4842

Identify the level of measurement of the data, and explain what is wrong with the given calculation. In a set of data, course grades are represented as 100 for 'A', 200 for 'B', and 300 for 'C'. The average (mean) of the 689 course grades is 231.2. The data are at the level of measurement. What is wrong with the given calculation? A. Such data should not be used for calculations such as an average (mean). B. The true average (mean) is 195.4. C. One must use a different method to compute the average (mean) of such data. D. There is nothing wrong with the given calculation.

Determine the critical numbers, if any, of the function (f) on the interval ([1,3]). (f(x)=x^2 sqrt3-x) Give your answer as a comma-separated list. Express numbers in exact form. If the function does not have any critical numbers, enter DNE. (x=)

Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. (x+4)/(x+7)<2

Cells in the peripheral nervous system that produce myelin are called cells. Schwann oligodendrocyte astrocyte microglia

Chapter 8 Question 5 A ball is drawn randomly from a jar that contains 6 red balls, 4 white balls, and 7 yellow balls. Find the probability of the given event. Write your answers as reduced fractions or whole numbers. (a) P(A red ball is drawn) = (b) P(The ball drawn is NOT red) = (c) P(A green ball is drawn) =

∫ (3x^2)/(3x^3-2) dx

Solve the following equation on the interval (0 leq theta<2 pi). (-cos ^2 theta+sin ^2 theta=1+cos theta)

Find an equation in the form of y=f(x) for the graph sketched below. Use base 2 for any logarithmic or exponential functions.

Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n=8 trials, each with probability of success (correct) given by p=0.45. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4 P(X<4)= (Round to four decimal places as needed.)

The equation of a circle is given in general form. Complete parts a through d to follow the step by step process to sketch the graph of the circle. x^2+y^2+2x-6y+1=0 a) Write the equation of the circle in standard form. The equation is . (Simplify your answer.) b) Determine the center and radius of the circle. The center is (Type an ordered pair.) The radius is . (Simplify your answer. Type an exact answer, using radicals as needed.)

-1-2v=11

The probability a car salesman sells a car to a customer is 0.05 Assuming the salesmen sees 10 customers in a week, what is the probability he sells less than 2 cars? Write answer using three decimal places

Question 18 3 points The sample mean is the point estimator of (A) μ (B) x̄ (C) 0 (D) P̄ Question 19 3 Points The school's newspaper reported that the proportion of students majoring in business is at least 30%. You plan on taking a sample to test the newspaper's claim. The correct set of hypotheses is (A) H0: p>0.30 H2: p ≤ 0.30 (B) H0: p ≤ 0.30 H3: p>0.30 (C) H0: p<0.30 H3: p ≥ 0.30 (D) H0: p ≥ 0.30 H3: p<0.30

Find the inverse of the function f(x) = 1/2 x - 5. f^(-1)(x) = Draw the functions f and f^(-1)

Suppose that the probability distribution for birth weights is normal with a mean of 120 ounces and a standard deviation of 20 ounces. The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is [ Select ] 68 %. The probability that a randomly selected infant has a birth weight between 110 and 130 is [Select] 68 %.

Simplify the expression. (tan x + sec x)(tan x - sec x) (tan x + sec x)(tan x - sec x) = (Use integers or decimals for any numbers in the expression.)

Let P(Z)=0.50, P(Y)=0.42, and P(Z ∩ Y)=0.18. Use a Venn diagram to find (a) P(Z′ ∩ Y′), (b) P(Z′ ∪ Y′), (c) P(Z′ ∪ Y), and (d) P(Z ∩ Y′). (a) P(Z′ ∩ Y′)=0.26 (b) P(Z′ ∪ Y′)=0.82 (c) P(Z′ ∪ Y)=0.68 (d) P(Z ∩ Y′)=

Simplify and rewrite answer using only positive exponents. (x^(-2) y^2 z)^3 Select one: a. x^(-6)+y^6+z^3 b. x^l y^5 z^4 c. -x^6 y^6 z^3 d. (y^6 z^3)/(x^6)

Solve the equation for the indicated variable. 1/c + 1/5 = 1/t for t

The graph above is a transformation of the function f(x)=x^2 Write an equation for the function graphed above. g(x)=

Determine which numbers could not be used to represent the probability of an event. Select all that apply. A. -1.5, because probability values cannot be less than 0. B. 33.3%, this is because probability values cannot be greater than 1. C. 0.0002, because probability values must be rounded to two decimal places. D. 320/1058, because probability values cannot be in fraction form. E. 64/25, because probability values cannot be greater than 1. F. 0, because probability values must be greater than 0.

Suppose the probability of an event is 20/27. What are the odds for the event happening? to What are the odds against the event happening? to

Evaluate 9C6 and 11P5.

Find the derivative of the following function. y=(2t-1)(5t-5)^-1 dy/dt=

The area under a normal curve distribution is equal to 1 Equal to 100 almost equal to 1 equal to .5

Calculate absolute change and relative change. In 2015, there were 210 participants in a trivia competition, In 2016, there were 298 participants in this trivia competition. Select the true statement about participants in the trivia competition from 2015 to 2016. Percentages are rounded to the nearest tenths place. a.) The absolute change is 88 participants and the relative change indicates an increase of 42%. b.) The absolute change is 88 participants and the relative change indicates an increase of 0.42%. C) The absolute change is -88 participants and the relative change indicates a decrease of 42%. d) The absolute change is -88 participants and the relative change indicates a decrease of 0.42%.

Find the exact value of the trigonometric function of θ from the given information. cos θ = 5/13, θ in quadrant I, find tan θ tan θ = □ □ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Evaluate (3^3-4^2)

Fill in the blank to correctly complete the following sentence. The graph of the function f(x) = (x-16)^2 is obtained by shifting the graph of y = x^2 16 units.

Question Id: 2013216 3 of 10 02:24 triangle ADC is similar to triangle DEF is similar to triangle GPI Note: Images are not drawn to scale. Place each trigonometric ratio under its value. 3/5 3/4 4/5 tan I sin B cos B cos I cos H tan C sin I sin H

La derivada de una función con exponente constante es igual al del exponente por la función elevada al exponente en una unidad por la derivada de la función: A) producto - disminuido B) cociente - multiplicado C) doble - aumentado D) residuo - sumado

A video store manager observes that the number of videos sold seems to vary inversely as the price per video. If the store sells 510 videos per week when the price per video is 17.40, how many does he expect to sell if he lowers the price to 16 ? Round your answer to the nearest integer if necessary.

Given the function of (f(x)=-3 x^2+7 x+8) on the interval ([-2,5]), find a point (c) between -2 and 5 so that it satisfies the Mean Value Theorem.

lim (n -> infinity) sum(i=1 to n) (1 + (2i/n))^2 * (2/n)

Factor completely. 5 u^2 - 35 u - 90

Find the vertex of the parabola by applying the vertex formula. h(v)=4v^2-14 The vertex is

Question number 2. Find the indefinite integral ∫(2x^3+5x^2-3x+2)dx 1/2 x^4+5/3 x^3+3/2 x^2+2x+C 6x^2+C+10x-3 1/2 x^4+5/3 x^3-3x^2+2x+C 1/4 x^4+5/3 x^3-3/2 x^2+2x+C 1/2 x^4+5/3 x^3-3/2 x^2+2x+C

Given the table of probabilities for the random variable x, does this form a probability distribution? X 0 1 2 3 4 P(x) 0.02 0.07 0.22 0.27 0.42 Yes No

Calculate the annual movie expenses based on weekly spending: George spends 24 every week at the movies, which is A annually. He also 900 per month on rent, which is A. annually, On an annual basis, the first set of expenses is A % if the second set of expenses.

Divide. 4,123 ÷ 19 Quotient: 217 Remainder (enter 0 if none):

The bars in a histogram

The reading speed of second grade students in a large city is approximately normal, with a mean of 89 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability a randomly selected student in the city will read more than 95 words per minute? The probability is 0.2743. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. A. If 100 different students were chosen from this population, we would expect to read exactly 95 words per minute. B. If 100 different students were chosen from this population, we would expect to read less than 95 words per minute. C. If 100 different students were chosen from this population, we would expect to read more than 95 words per minute.

Complete the table to show different forms of each number. Write one value from the given answer choices in each box. Standard Form Multiplication Exponential Form 1,000,000 10 × 10 × 10 × 10 × 10 × 10 10^6 1,000 10 × 10 × 10 10^3 100,000 10 × 10 × 10 × 10 × 10 10^5

A farmer has a rectangular garden plot surrounded by 220 feet of fence. Find the length and width of the garden if its area is 2,800 feet^2. width = 65, length = 45 width = 70, length = 40 width = 60, length = 50 width = 60, length = 30 none of these

The values listed below are waiting times (in minutes) of customers at two different banks. At Bank A, customers enter a single waiting line that feeds three teller windows. At Bank B, customers may enter any one of three different lines that have formed at three teller windows. Answer the following questions, Bank A: 6.4, 6.6, 6.7, 6.8, 7.1, 72, 7.5, 79, 7.9, 7.9 Bank B: 4.3, 5.3, 5.8, 6.3, 6.6, 7.7, 7.7, 8.5, 9.4, 10.0 Construct a 99% confidence interval for the population standard deviation σ at Bank A. min < σBank A < max min (Round to two decimal places as needed)

You work as a residential painter. A customer wants two tables and eight chairs painted using one coat of the same color paint. Each table requires 1 5/8 quarts of paint, and each chair requires 2/3 quarts of paint. How many total quarts of paint should you bring to paint this furniture?

Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to negative infinity, state your answer as "-00". If it diverges without being infinity or negative infinity, state your answer as "DNE". [ int-infty^infty(-4 x^4) d x ]

Determine the probability of a six-year-old rainbow trout being less than 385 millimeters long: Fish story: According to a report by the U.S. Fish and Wildife Service, the mean length of six-year-old rainbow trout in the Arolik River in Alaska is 484 millimeters with a standard deviation of 44 millimeters. Assume these lengths are normally distributed. It is or is not unusual because the probability of a six-year-old rainbow trout less than 385 millimeters long is

(a) Use the vertex formula to find the vertex of the following function. (b) Find the intervals where f is increasing and where f is decreasing. f(x)=-3/4 x^2+1/2 x-4

Crystal Nguyen Question 1, 7.2.1 Part 3 of 3 HW Score: 3.75%, 0.75 of 20 points Points: 0.75 of 1 Save Refer to the accompanying data display that results from a simple random sample of times (minutes) between eruptions of the Old Faithful geyser. The confidence level of 95% was used. Complete parts (a) and (b) below. TInterval (85.74,91.76) x̄=88.75 Sx=8.897431411 n=36 a. Express the confidence interval in the format that uses the "less than" symbol. Round the confidence interval limits given that the original times are all rounded to one decimal place. 85.74 min < μ < 91.76 min (Round to two decimal places as needed.) b. Identify the best point estimate of μ and the margin of error. The point estimate of μ is 88.75 minutes. (Round to two decimal places as needed.) The margin of error is E= minutes. (Round to two decimal places as needed.)

If 2 people can paint 3 chairs in a day, how many chairs can 30 people paint in a day? a. 20 b. 18 c. 45 d. 12 e. 15

Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? upward downward (b) Find the coordinates of the vertex. vertex: (17.).1)

The pointer shown to the right can land on every number, and the respective probability that the pointer can land on is shown in the table below. Compute the expected value for the number on which the pointer lands. The expected value for the number on which the pointer lands is (Type an integer or a decimal.) Outcome Probability 1 1/4 2 1/4 3 1/2

Assume a shoes costs 40 sells for 60. Find Selling price as a percent of cost 50% 150% 20% 120%

Identify the vertex and leading coefficient of the quadratic function. Then write the expression as f(x)=a x^2+b x+c. f(x)=-3(x-5)^2+1 The vertex is (Type an ordered pair.)

Compute the values of f(x) = (x-6)/(x-1)^2 in the table to the right and use Complete the table below. x f(x) x f(x) 1.1 -48.9999 0.9 1.01 -498.9999 0.99 1.001 -4999.000 0.999 1.0001 -49999.000 0.9999 (Type integers or decimals.)

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X ≤ 14) n = 18, p = 0.8

Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale - with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1's, 15% 2's, 34% 3's, and 41% 4's. Mr. Goodman sets a goal to outscore these numbers. At the end of the year, he takes a random sample of his evaluations and finds 101 1's, 132 2's, 483 3's, and 524 4's. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Department's?

The mean incubation time for a type of fertilized egg kept at a certain temperature is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through (e) below. Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest integer as needed.) A. If 100 fertilized eggs were randomly selected, exactly would be expected to hatch on day 21 or on day 23. B. In every group of 100 fertilized eggs, eggs would be expected to hatch between 21 and 23 days. C. If 100 fertilized eggs were randomly selected, 48 of them would be expected to hatch between 21 and 23 days. (e) Would it be unusual for an egg to hatch in less than 20 days? Why? The probability of an egg hatching in less than 20 days is 0.0013, so it would be unusual, since the probability is than 0.05. (Round to four decimal places as needed.)

Homework 9 - 3.3 Question 2 of 5 (1 point) I Question Attempt: 1 of Unlimited For the data set 3 6 5 12 3 7 5 14 3 7 5 23 4 10 5 28 5 10 6 6 5 12 Part 1 of 4 (a) Find the first and third quartiles. The first quartile is The third quartile is.

Evaluate the expression for z=3. 4+7z 4+7z= (Simplify your answer.)

MATH 108061College Algebra USCAFall 2024 Quiz: Practice Problems 2 (Part of grade calculat (Copy) Question list Given f(x) = 2(x + 1)^2 + 7 a. State the coordinates of the vertex. b. Identify the interval on which f(x) is increasing. c. State the range. d. State the axis of symmetry. Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10 October 08 26

Solve for a. a+b-4=P a=m

Using the limit comparison test with a geometric comparison series of sum from n=1 to infinity of 2^n / 7^n, determine if the series below converges or diverges. sum from n=1 to infinity of (2^n + 9) / 7^n

أجدُ ناتجَ الضرب : ............. = × 9- = (7-) × 0- = (10-) × 57- = (1-) × 1 ε = (9 ·-) × (r ·-) = · × ( - - )

QUESTION 5 - 1 POINT The histogram below displays the weights of rainbow trout (in pounds) caught by all visitors at a lake on a Saturday afternoon. According to this histogram, which range of weights (in pounds) contains the highest frequency?

Question 1(Multiple Choice Worth 2 points (Adding and Subtracting Linear Expressions MC) Write the following expression using the fewest possible terms. (-2 x-13)+(19+5 x) 3 x+(-6) 7 x+(-6) 7 x+32 3 x+6

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