Math Homework Questions & Answers Archive

List the elements from A that belong to the set. A = -√7, -8, -0.22, 0, √9, 14/2, 16, √-4 Whole numbers Select one: a. 0, √9 (or 3), 16 b. 0, √9 (or 3), 14/2 (or 7), 16 c. √9 (or 3), 14/2 (or 7), 16 d. 0,16

Consider the following data regarding students' college GPAs and high school GPAs. The estimated regression equation is Estimated College GPA = 4.28 + (- 0.2134)(High School GPA) Compute the sum of squared errors (SSE) for the model. Round your answer to four decimal places. GPAs College GPA High School GPA 3.86 3.15 3.95 2.27 2.86 4.02 3.42 3.08 3.94 2.71 3.00 4.51

A marble is selected from a bag containing eight marbles numbered 1 to 8. The number on the marble selected will be recorded as the outcome. Consider the following events. Event A: The marble selected has a number from 2 to 5. Event B: The marble selected has an even number. Give the outcomes for each of the following events. If there is more than one element in the set, separate them with commas. (a) Event "A and B": (b) Event "A or B": (c) The complement of the event B:

Solve the system of equations by graphing. 2x-y=2 x+2y=1

Archeologists have studied sizes of Egyptian skulls in an attempt to determine whether breeding occurred between different cultures. Listed below are the widths ( mm ) of skulls from 150 A.D. Construct a 99% confidence interval estimate of the mean skull width. mm < µ < mm (Round to two decimal places as needed.)

A successful basketball player has a height of 6 feet 7 inches, or 201 cm. Based on statistics from a data set, his height converts to the z score of 3.74. How many standard deviations is his height above the mean? The player's height is standard deviation(s) above the mean. (Round to two decimal places as needed.)

What is the approximate percentage of buyers who paid between 840 and 1200 ? 49.85 % What is the approximate percentage of buyers who paid less than 960 ? 2.5 % What is the approximate percentage of buyers who paid more than 1560 ? 0.15 % What is the approximate percentage of buyers who paid between 1080 and 1320 ? % What is the approximate percentage of buyers who paid between 960 and 1200 ? % What is the approximate percentage of buyers who paid between 1200 and 1320 ? %

Evaluate the expression (3+2 i)+(8-5 i) and write the result in the form a+bi.

Express √(-36) - √(-100) as a complex number (in terms of i ): √(-36) - √(-100) =

Let f(x)=(-9x^2-5)^5(4x^2-6)^9. Find the derivative and write answer in factored form.

Jose's chocolate bar is 53% cocoa. If the weight of the chocolate bar is 96 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.

Evaluate. 7!2! / 8!4!

Write as an equivalent decimal or a decimal approximation 13/19

Factor. 3 s^6 - 192 s^3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 3 s^6 - 192 s^3 = (Factor completely.) B. The binomial is not factorable.

159° x 85° y

Convert the following in scientific notation to standard notation: 5. 9.8 × 10^-9

Si la siguiente gráfica representa a la parábola x=1/4(y-2)^2+3. ¿Cuál es la gráfica que representa a x=-1/4(y-2)^2+3?

Consider the following inequality: 3x - 2 > 7 Step 1 of 2: Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.

Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. s = sqrt((n[sum(f * x^2)] - [sum(f * x)]^2) / (n(n-1))) Interval 30-36 37-43 44-50 51-57 58-64 65-71 72-78 Frequency 2 2 4 4 8 34 35 Standard deviation = 2.5 (Round to one decimal place as needed.)

Which angles are complementary to each other?

Test the series below for convergence using the Ratio Test. sum from n=1 to infinity of (3^n)/(n!)

Solve the following quadratic equation by factoring. Separate multiple answers with a comma. 3 x(x-1)=2(2 x+3)

Find the domain and range of y=log₂(5-4x). The domain is: The range is:

What is the area beneath the curve (y=frac5-x^2x^3) from (x=1) to (x=2) ? (frac158-ln 2) (frac13) (frac358) (-frac152+ln 1)

Solve the equation by first multiplying both sides through by an appropriate power of 10 so that the equation contains integers only. 7.6x + 6 - 8.6x = 9 x = (Type an integer or a decimal.)

Solve the logarithmic equation symbolically. 3 ln x=4 A. x=e^(4 / 3) B. x=12 e C. x=e^1 D. x=(e^4)/3

Question 14, 3.2.11 HW Score: 47.41%, 16.12 of 34 points Points: 0.71 of 1 Listed below are prices in dollars per night of stay at hotels. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. How useful are the measures of variation for someone searching for a room? 142 234 184 252 223 197 262 The range of the sample data is = (Round to one decimal place as needed.) Clear all Check answer

Simplify. √32

The coefficient of variation CV describes the standard deviation as a percent of the mean. Because it has no units, you can use the coefficient of variation to compare data with different units. Find the coefficient of variation for each sample data set. What can you conclude? CV = (Standard deviation / Mean) * 100% Data table Heights Weights 76 228 80 217 65 207 76 165 68 227 67 217 76 209 70 180 67 183 74 173 79 225 78 183

A data set includes the counts of chocolate chips from three different types of Chips Ahoy cookies. The accompanying StatCrunch display shows results from analysis of variance used with those three types of cookies. Use a 0.05 significance level to test the claim that the three different types of cookies have the same mean number of chocolate chips. ANOVA table: - Source DF SS MS F-Stat P-value - Columns 2 1134.0000 567.00000 57.6382 0.0001 - Error 77 757.46667 9.8372295 - Total 79 1891.4667 Determine the null hypothesis H0 Determine the alternative hypothesis. H1 Determine the test statistic The test statistic is (Round to two decimal places as needed.) Determine the P-value. The P-value is

Question 12 of 15 This quiz: 15 point(S) possible This question: 1 point(s) possible Use the graph below to find the indicated function value. y=f(x) ; f(4) A. 13 B. 1.75 C. 4 D. -4

Find the LCD of the set of fractions. (Simplify your answer completely.) 1/3, 5/14, 4/21

Convert to decimal form: 6.7 × 10^2.

Factor the given polynomial completely. 6b^4 - 15b^2 - 36

Assume a function increases by a constant percentage rate. This is a(n) exponential function. quadratic linear logarithmic

A serving of four home-baked chocolate chip cookies weighs 35 grams and contains 10 grams of fat. What is the ratio, in lowest terms, of fat grams to total grams?

Use the quadratic formula to solve for x. 2x^2+5x=4 Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. x=

11. Assume that 500,000 people take the GED exam (high school proficiency exam) each year and their scores form a normal distribution. If Danny scores two standard deviations below the mean, what percentile is he? a) 2.5 th b) 5.0 th c) 12.5 th d) 22.5 th e) Not enough information to determine.

1/5(1+3/5-9/10)+(2+5(2/8-3)) 1/5(1+6/5)+(7(1/5)) 8/11+8/12=16/23 -2/5(15/20-8/10)-[9/2+5(2/8-2/4)] -2/5(7/10)-[14/7+(4)] - 9/15-+[18/11] -9/15-18/11=27/26

The five-number summary for a distribution of final exam scores is 66, 78, 82, 86, 96, is it possible to draw a boxplot based on this information? Why or why not? Select the correct answer below. A. it isn't possible to draw a boxplot based on the five-number summary because the five-number summary doesn't contain the interquartile range (IQR), which is necessary to draw the boxplot if the IQR is found using other summary statistics, then the boxplot can be drawn. B. It isn't possible to draw a boxplot based on the five-number summary because the five-number summary is used to summarize symmetric distributions, not asymmetric distributions. The boxplot cannot be constructed with the information in the five-number summary. C. It is possible to draw a boxplot based on this information. The five-number summary contains all information necessary to construct the boxplot. D. It is possible to draw a boxplot based on this information. Both the minimum and maximum are within the bounds of the left limit and right limit, which means that all potential outliers can be displayed. This is necessary to construct the boxplot.

Why error for heaviestweight not defined

Use transformations of the graph of f(x)=2^x to graph the given function. Be sure to graph and give the equation of the asymptote. Use the graph to determine the function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. g(x)=2^(x+6) Graph g(x)=2^(x+6) and its asymptote. Use the graphing tool to graph the function as a solid curve and the asymptote as a dashed line.

Suppose a test for a single mean, μ, is done. A sample of 36 observations is selected from a population that is N(μ, 9). The value of X̄=38.80. The test to be done is: H0: μ=38 H1: μ>38 The p-value for the test is: .1151 .0548 .1096

The accompanying boxplot shows the percentage of the population that has earned a bachelor's (BA) degree in two different regions of a country. Estimate and interpret the median for each group. Then complete parts (a) and (b) below. Estimate the numerical values of the medians by using the boxplot. The median BA percentage for Region A is approximately The median BA percentage for Region B is approximately

What are all of the real roots of the following polynomial? f(x)=x^5+5x^4-5x^3-25x^2+4x+20 A. -5,-2, and 2 B. -5,-2,-1,1, and 2 C. -3,-2,-1,1, and 2 D. -2,-1,1, and 2

Given (y=f(u)) and (u=g(x)), find (fracd yd x) by using Leibniz's notation for the chain rule, (fracd yd x=fracd yd u fracd ud x). (y=sqrt2 u+4, u=x^2-9 x) (fracd yd x=square)

Heather is driving a racecar. The table below gives the distance D(t) (in meters) she has driven Time t (seconds) Distance D(t) (meters) ---------------------------------------- 0 0 2 78.6 5 151.5 7 205.1 9 255.9 (a) Find the average rate of change for the distance driven from 0 seconds to 2 seconds. meters per second (b) Find the average rate of change for the distance driven from 5 seconds to 9 seconds. meters per second

Based on the histogram above, what is the frequency of the class containing the value 6?

The diaper service where you work bills customers once a week. Each week, it charges 24 each for the first 75 diapers used, and 24 each for any additional diapers. How much should you bill a family that used 150 diapers last week? a. 13.75 b. 27.50 c. 32.00 d. 45.75 e. 3,600 You are planning a trip by air between Seattle and Miami. The distance between these cities is 2,724 miles. You earn a free flight after you accumulate 25,000 miles of travel. How many round trips (back and forth) must you make to earn a free flight? a. 4 b. 5 c. 6 d. 8 e. 10 You are a receptionist at a doctor's office. A patient's bill for a checkup totals 45.00. The patient's health insurance requires the patient to pay 20% of the total bill. How much should the patient pay for the checkup? a. 7.50 b. 9.00 c. 11.00 d. 36.00 e. 45.00 You are scheduling a new delivery route and you need to find out how long it will take a driver to complete the route. You start the route at 9:50 A.M. and finish at 2:20 P.M. How long does it take to drive the route? a. 3 hours 30 minutes b. 4 hours 15 minutes c. 4 hours 30 minutes d. 5 hours 45 minutes

The function f(x)=2x^3-36x^2+210x-7 has two critical numbers. The smaller one is x= and the larger one is x=

1) lim x -> -∞ (4x^3 - 5x) / (2x^2 - 2)

For the figure below ... 1) Name two acute angles: 2) Name two obtuse angles: 3) Name four right angles: 4) Name two straight angles:

Solve log4(x+3)+log4(2x+20)=2 x=

Question 6 of 12, Step 1 of 2 The number of assaults in a city is depicted in two different graphs below. Assault Counts Graph A Assault Counts Graph B Step 1 of 2: How many times as many assaults were there actually in Year 3 compared to Year 1? Round your answer to 2 decimal places.

Упростите выражение (9b)/(a-b) * (a^2-ab)/(54b) и найдите его значение при a=-63, b=9,6. В ответе запишите найденное значение.

A survey found that women's heights are normally distributed with mean 62.4 in. and standard deviation 3.1 in. The survey also found that men's heights are normally distributed with mean 68.7 in. and standard deviation 3.8 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 63 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is 6.58%. (Round to two decimal places as needed.) Since most men do not meet the height requirement, it is likely that most of the characters are women.

Simplify. Use the distributive property to remove the parentheses. Then, combine like terms. 2(5-x)-2(-6-9x)

Determine the vertex of the graph of the following parabola. f(x)=3(x-3)^2+4 Give your answer as an ordered pair (h, k).

Use transformations to graph the function. Determine the domain, range, horizontal asymptote, and y-intercept of the function. f(x) = 5^x + 1 Use the graphing tool to graph the function. Click to enlarge graph (For any answer boxes shown with the grapher, type an exact answer.) What is the domain of f(x) = 5^x + 1? (Type your answer in interval notation.) What is the range of f(x) = 5^x + 1? (Type your answer in interval notation.) Determine the horizontal asymptote of f(x) = 5^x + 1. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.

A popcorn company finds that their 1 kg bags have a mean of 1,040 grams with a standard deviation of 25 grams. What is the z-score for a bag weighing 975 grams? Round your answer to the nearest tenth.

Suppose θ is in the interval 90°<θ<180°. Find the sign of the following. sin(θ+90°) Choose whether the sign of sin (θ+90°) is positive or negative. Negative Positive

Suit Sales The number of suits sold per day at a retail store is shown in the table, with the corresponding probabilities. Number of suits sold X: 21, 22, 23, 24, 25 Probability P(X): 0.1, 0.2, 0.3, 0.1, 0.3

Consider the following linear inequality. 6z - 10.8 < -7.2 + 4z Step 1 of 2: Solve the inequality and express your answer in interval notation. Use decimal form for numerical values.

Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find the value of each of the six trigonometric functions of theta. The length of the missing side of the right triangle is c= sin theta= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) cos theta= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) tan theta= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) csc theta= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sec theta= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) cot theta= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Calculate the scalar multiplication of matrix A: Step 1 Now to find 2A-3B, first find 2A and then 3B using the definition of the product of a real number and a matrix. 2A=2 0 -1 3 -1 -2 -1 = -2 -2 3B=3 -3 1 2 2 5 -3 = 3 6 6: 1

5/8 · 2/3 = □ (Type a simplified fraction.)

Use the suggested substitution to write the expression as a trigonometric expression. Simplify your answer as much as possible. Assume (0 leq theta leq fracpi2). [ sqrt81-9 x^2 cdot fracx3=sin (theta) ]

Find the derivative of the following function. y=5x^(-3/2)+4x^(-1/2)+x^5-4 y'=

Use the product of conjugates to multiply (6y - 1/2 q^2)(6y + 1/2 q^2).

In Marissa's calculus course, attendance counts for 10% of the grade, quizzes count for 15% of the grade, exams count for 55% of the grade, and the final exam counts for 20% of the grade. Marissa had a 100% average for attendance, 89% for quizzes, 86% for exams, and 85% on the final. Determine Marissa's course average. Marissa's course average is %. (Type an integer or a decimal. Do not round.)

For this problem, there is no partial credit. Find the domain of the following function. Write your answer using interval notation. f(x) = (ln(15-x))/(x+2)

Classify the statement as either true or false. If f is continuous at x=2, then f(2) does not exist.

The correct mathematical form of scientific notation is 6.258547 × 10^7. (Use the multiplication symbol in the math palette as needed.) Indicate if the answer is large or small. Choose the correct answer below. A. The answer is large because the exponent is positive. B. The answer is small because the exponent is negative. C. The answer is small because the exponent is positive. D. The answer is large because the exponent is negative.

Use metric conversion factors to solve each of the following problems: Part A If a student is 195 cm tall, how tall is the student in meters? Express your answer using three significant figures and include the appropriate units. Part B A cooler has a volume of 6500 mL. What is the capacity of the cooler in liters? Express your answer using two significant figures and include the appropriate units.

Using only your compass, straightedge, and a pencil, construct an angle congruent to of the following.

Simplify the expression: -(-x+y-5) Select the correct response: -x+y-5 x+y-5 x-y+5 x-y-5

Find dy/dx. y=x^(-6) dy/dx=-(6/x^7)

For a population with a standard deviation of σ=20, find the z-score for each of the following locations in the distribution. Below the mean by 10 points Below the mean by 30 points Above the mean by 5 points Above the mean by 2 points

398 is 277 plus r

Use the quadratic formula to solve for x. 9x^2 - 3x = 1 Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. x=

TV sets: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013 was 2.24. Assume the standard deviation is 1.1. A sample of 80 households is drawn. Part: 0 / 5 Part 1 of 5 (a) What is the probability that the sample mean number of TV sets is greater than 2? Round your answer to at least four decimal places. The probability that the sample mean number of TV sets is greater than 2 is

Write an equation of the line below.

Which of the following is NOT a property of the standard deviation? Choose the correct answer below. A. The standard deviation is a measure of variation of all data values from the mean. B. The value of the standard deviation is never negative. C. When comparing variation in samples with very different means, it is good practice to compare the two sample standard deviations. D. The units of the standard deviation are the same as the units of the original data.

A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 182 lb and a standard deviation of 45 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is 140 lb. (Type an integer or a decimal. Do not round.) b. If the water taxi is filled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the value from part (a)? The probability is 1.0000. (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected passengers, what is the probability that their mean weight exceeds 175 lb, which is the maximum mean weight that does not cause the total load to exceed 3500 lb? The probability is . (Round to four decimal places as needed.)

An air duct in a stadium has a circular cross section with a radius of 12 inches and a length of 36 feet and is open at both ends. What is the volume of the duct, and how much paint (in square feet) is needed to paint the exterior of the duct? The volume of the duct is (Round to the nearest hundredth as needed.) Painting the duct requires of paint. (Round to the nearest hundredth as needed.)

Use your graphing calculator to graph the function n(r)=-r^2-19r-25. Change the window for both the x-coordinate and the y-coordinate in order to get the relative maximum of the parabola on the same screen. Find the coordinates of the relative maximum. Round to the nearest hundredth. The relative maximum is

Find the exact value of cos θ. tan θ=-10/7, θ in quadrant II A. sqrt(149)/10 B. 7 sqrt(149)/149 C. -sqrt(149)/7 D. -7 sqrt(149)/149

Use the Theorem on Limits of Rational Functions to find the limit. If necessary, state that the limit does not exist. lim (x -> -8) (x^2 - 6) / (8 - x) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. lim (x -> -8) (x^2 - 6) / (8 - x) = (Simplify your answer.) B. The limit does not exist.

Paul mixes nuts worth 1.25 per pound with oats worth 1.70 per pound to get 27 pounds of trail mix worth 1.60 per pound. How many pounds of nuts and how many pounds of oats did he use? Paul used pounds of nuts and pounds of oats.

A jetliner transfers passengers among the cities of Rome, Frankfort, Amsterdam, and London. The jetliner wants to maximize the number of passengers en route from Frankfort to Rome. Capacities: From To Rome Frankfort Amsterdam London Rome 0 250 0 400 Frankfort MAX 0 315 0 Amsterdam 200 0 0 100 London 0 220 0 0 What is the net flow for Frankfort? (XFR+XFA)-(XFR+XFA+XFL)>0 (XFR+XFA)+(XFR+XFA+XFL)=0 (XFR+XFA)-(XFR+XFA+XFL)<0 (XFR+XFA)=(XFR+XFA+XFL)

Two parents take their N children to movies. Adult tickets are 9 each and child tickets are 7. They buy a 3 box of popcorn for each child and pay 6 for parking. Find an expression for the cost of the excursion. C(N)= dollars Is the expression linear in N ? Choose one

The middle term of the trinomial has been rewritten. Now factor by grouping. 20 r^2 + 31 r s + 12 s^2 = 20 r^2 + 15 r s + 16 r s + 12 s^2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 20 r^2 + 15 r s + 16 r s + 12 s^2 = B. The trinomial is prime.

The measure of center that is the value that occurs with the greatest frequency is the mode.

Approximate the area under the curve graphed below from x=2 to x=5 using a Left Endpoint approximation with 3 subdivisions.

The instructions provided do not include a specific question to be extracted from the given numbers (7 m, 3 m, 15 m). Without further context or a question, it's impossible to provide a relevant output related to a question.

Approximate the area under the curve y=x^3 from x=2 to x=5 using a Right Endpoint approximation with 6 subdivisions.

A value at the center or middle of a data set is a(n) - A value at the center or middle of a data set is a(n) outlier. measure of center. measure of spread. sample.

Select the equality for centimeters and meters. 1 m = 100 cm 1 m = 10 cm 1 m = 0.01 cm 1 cm = 100 m

Based on a poll, 65% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among three randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond?

Solve the following equation 4/x = 16/12

For many people, breakfast cereal is an important source of fiber in their diets. Cereals also contain potassium, a mineral shown to be associated with maintaining a healthy blood pressure. An analysis of the amount of fiber (in grams) and the potassium content (in milligrams) in one serving of 77 breakfast cereals produced the regression model Potassium = 38+27 Fiber. From this model you can estimate a cereal's potassium content from the amount of fiber it contains. In this context, what does it mean to say that a cereal has a negative residual? What does it mean to say that a cereal has a residual of -22 ? What does it mean to say that a cereal has a residual of -22 ? A. A residual of -22 means that particular cereal has 22 mg more potassium than the model predicts. B. A residual of -22 means that particular cereal has 22 mg less potassium than the model predicts. C. A residual of -22 means that particular cereal has 22 g more fiber than the model expects. D. A residual of -22 means that particular cereal has 22 g less fiber than the model expects.

Determine the domain and range of the graph.

Solve the following equation by making an appropriate substitution. 6x^(2/3) - 5x^(1/3) - 1 = 0 Solve the equation. 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. Use a comma to separate answers as needed.) B. The solution set is the empty set.

Compute the given integral. [ int frac1x^2+1 d x= ] +C

1/6 - (-5/8)

If P(x)=4+x-4 x^2 represents the profit in selling x thousand Boombotix speakers, how many speakers should be sold to maximize profit?

What is the vertex of this quadratic function? y=4(x+3)^2+7 ([?], □) Hint: Vertex form, y=a(x-h)^2+k, helps us quickly identify the vertex of a quadratic.

Use a half-angle formula to find tan(7π/12). Give an exact answer, using radicals as needed. Simplify your answer completely.

c) h(x)=3x/(x^2+3) → Calcular su dominio recorrido

Find f'(x) and simplify. f(x)=x^4 ln x Which of the following shows the correct application of the product rule? A. (x^4)(1/x)+(ln x)(4 x^3) B. (1/x)(4 x^3) C. (x^4)(4 x^3)+(ln x)(1/x) D. (x^4)(1/x)-(ln x)(4 x^3)

√(7 x²) + √(3 x⁷) √(7 x²) ⋅ √(8 x⁷) =

Determine whether the equation defines y as a function of x.

(5.0 g^2) · (9.0 g)=?

In an experiment, college students were given either four quarters or a 1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a) through (c) below. Purchased Gum Kept the Money --------- Students Given Four Quarters 25 17 Students Given a 1 Bill 14 34 a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. The probability is (Round to three decimal places as needed.) b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters. The probability is (Round to three decimal places as needed.)

For f(x)=x^3+8, find each of the following. a. f(-1) b. f^(-1)(7). c. (f ∘ f^(-1))(476) a. f(-1)= b. f^(-1)(7)= c. (f ∘ f^(-1))(476)=

40 * dL^2 / 0.50 L = ?

Find A if (I2 + 1/18 A)^-1 = [[3 0] [-1 1]]

Evaluate the given expression for x=-9. 7x^2-3x-2

When 2.3390 × 10^8 is correctly rounded to three significant figures, the number becomes 2.34 2.34 × 10^8 234 2.339 2.339 × 10^8

Question number 20. If possible, evaluate: 6 arcsin (1)+8 arctan (1) 0 5 π 2 π Undefined π 5 π/2 None of these

Find the change of basis matrix from 𝓑₁ to 𝓑₂. 𝓑₁= [[7, 4, 2], [6, 0, -6], [-3, 3, 2]] 𝓑₂= [[7, -2, -1], [4, 3, 9], [-8, 1, 5]]

Find the slope of the line passing through the pair of points. (-6,4),(-6,-2) m=8 m=0 undefined m=11

Consider the line y=-5x+9. Find the equation of the line that is perpendicular to this line and passes through the point (8,-3). Find the equation of the line that is parallel to this line and passes through the point (8,-3). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of perpendicular line: Equation of parallel line:

Find the solution for t in the equation 5(2^∘)=4. t=-0.322 t=0.861 t=0.322 t=-0.861

Draw a Venn diagram to show the set. (A ∩ B′) ∪ U

Let p(x)=-4(x+6)(4x-3)^2. Part 1 - y-intercept Find the y-intercept of the graph of y=p(x). (x, y)=(0,-216) Part 2 - End Behavior Describe the end behavior of p using proper notation: As x -> infinity, p(x) -> -infinity As x -> -infinity, p(x) -> infinity Part 3 - Zeros Determine the zeros of p and their multiplicities. x= (smaller value) with multiplicity x= (larger value) with multiplicity

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. f(x, y) = 6x + 2y; x^2 + y^2 = 10 maximum value minimum value

Finding supplementary and complementary angles (a) An angle measures 99°. What is the measure of its supplement? (b) An angle measures 25°. What is the measure of its complement? measure of the supplement: ° measure of the complement:

Find and simplify the derivative of the following function. h(x) = (2x^9 + 2x)(8x^3 + 4x^2 + 4)

State whether the following statement is true or false. The center of the circle (x+3)^2+(y-2)^2=13 is (3,-2). Choose the correct answer below. False True

Choose the graph of the logarithmic function. h(x) = log(1/5) x

Boys Heights Heights of ten year old boys (5th graders) follow an approximate normal distribution with mean μ=55.5 inches and standard deviation σ=2.7 inches. (a) According to this normal distribution, what proportion of 10 -year-old boys are between 4 ft 3.5 in and 5 ft 3.5 in tall (between 51.5 inches and 63.5 inches)? Round your answer to three decimal places. Proportion =

Consider the function f(x)=sin x on the interval [0,2]. Let P be a uniform partition of [0,2] with 6 sub-intervals. Compute the left and right Riemann sum of f on the partition. Enter approximate values, rounded to three decimal places. Left-sum: Right-sum:

Bài 25. Gieo một đồng xu không cân đối đồng chất 20 lần liên tiếp. Biết rằng xác suất xuất hiện mặt ngửa trong mỗi lần tung là không đổi và bằng 2/5. (a) Tìm xác để xuất để có từ 8 đến 10 lần xuất hiện mặt ngửa? (b) Tính số lần xuất hiện mặt sấp có khả năng cao nhất?

Determine the minimum sample size required when you want to be 95% confident that the sample mean is within one unit of the population mean and σ = 5.3. A 95% confidence level requires a sample size of □ (Round up to the nearest whole number as needed.)

Consider the line 6x-8y=-8. Find the equation of the line that is parallel to this line and passes through the point (5,-6). Find the equation of the line that is perpendicular to this line and passes through the point (5,-6).

Quadrilateral ABCD is similar to quadrilateral EFGH. Find the measure of side GH. Round your answer to the nearest tenth if necessary.

y=(4e^(6lnx)-3x^(2/3))

Graph the exponential function. g(x)=(1/4) 2^(-x) Choose the letter that corresponds to the correct graph. A C D

QUESTÃO 01 (1,0): Enuncie uma propriedade característica dos elementos de cada conjunto abaixo: a) A= Argentina, Bolívia, Brasil, Chile, Colômbia, Equador, Guiana, Paraguai, Peru, Suriname, Uruguai, Venezuela b) B= 0,5,10,15,20,25,30,35,40,45,50,55,60,65, ...

Sketch the graph of the polynomial function P(x)=2x^3+7x^2+3x. You must show your work (i.e. find zeros, find intercepts, determine end behavior, set up a table).

To solve (x^4-15 x^2+40=0), let (u=) Then rewrite the equation in terms of (u) as

3y+11x3=x+4

h(x)=(x^2-13x+36)/(x^2-6x+8)

Find all the real zeros of the polynomial. Use the quadratic formula if necessary, as in Example 3(a). (Enter your answer as an ordered pair or list of numbers.) P(x)=x^4-9 x^3+9 x^2+33 x+14 x=

Construct a truth table for the argument. Use "T" for true and "F" for false. p q r p ↔ q q ↔ r p ∧ q (p ↔ q) ∧ (q ↔ r) → p ∧ q -------------------------------------------------------------- T T T T T F T F T T F F F T T F T F F F T F F F

Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents. 4 x^-3 y^3

If it rains today, the probability of rain tomorrow is higher due to the current weather pattern. The probability of rain on any given day is 30%, but if it rains today, the probability of rain tomorrow is 50%. What is the probability that it will rain today and tomorrow? Input your answer as a decimal. Round your answer to two decimal places.

Solve the equation using the quadratic formula. 3 x^2 = 2 x + 12 The solution set is ◻.

Look at the diagram. Which equation can be used to solve for x ? 7x+28=67 7x+18=67 30x+5=67 30x-5=67 Solve for x. x=

The age/weight relationship of a particular animal can be estimated by the function M(t)=3105 e^(-e^(-0.021(t-53))), where t is the age of this animal in days and M(t) is the weight of this animal in grams. a. Estimate the weight of an animal that is 200 days old. The animal weighs approximately grams when it is 200 days old. (Round to two decimal places as needed.)

Find the volume of the given pyramid. The base is a rectangle. The volume is (Type an integer or a decimal.)

According to an airline, flights on a certain route are on time 85% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 17 flights are on time. (c) Find and interpret the probability that fewer than 17 flights are on time. (d) Find and interpret the probability that at least 17 flights are on time. (e) Find and interpret the probability that between 15 and 17 flights, inclusive, are on time.

Pregunta 2 35 puntos Dado el universo de U=1,2,3, entonces el valor de la proposición (existe x en U, 4x-11=1) es: (A) Es una contradicción. (B) Falsa. (C) Falta informacion. (D) verdadera.

3. Write the equation of the function whose parent function is f(x)=1/x and is stretched vertically by a factor of 5, reflected across the x-axis, shifted right 3 units, and shifted down 2 units. Sketch this graph and state the domain and range for the function. 4. Given the graph of the function below write the equation of the piecewise function f(x)= ii ii ii

The probability of randomly selecting an aduit who recognices a particutar brand name is 0.79 . Describe a procedure for using a random digt generator to simulate the random selection of 50 aduit consumers. Each individual outcome should be an indication of one of two results: (1) The consumer recognizes the brand name; (2) the consumer does not recognize the brand name. Choose the correct answer below. A. Generate 50 random intogers from 1 to 100 . Let the integers 1 to 79 represent "recognizing the brand name," and let the other integens represent "not recognizing the brand name." Record the resuls. B. Generate 50 random integers from 1 to 10 . Let the integers trom 1 to 7 represent "recognizing the brand name," and let the integers 8 to 10 represent "not recognizing the brand name." Record the results. C. A random digil generator or random number generator cannot be used to simulate brand recognition. D. Let the decimal 0.79 represent "recognizing the brand name," and let any other decimal represent "not recognizing the brand name. "Generate random digts and record the resilts.

Find the simplified difference quotient for the given function. f(x)=d x^2+ax+k The simplified difference quotient is

7^6 ÷ 7^2 = 1^8 7^3 7^4

Evaluate f(a+h) if f(x) = (6x-1)/(5x+1)

Find the exact function value. csc(pi/4)

Find the slope of the line.

Solve the given system by the substitution method. If there is no solution or an infinite number of solutions, use set notation to express solution sets. x+3y=6 2x+3y=9 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is exactly one solution. The solution set is 3. (Type an ordered pair, using integers or fractions. Simplify your answer.) B. There are infinitely many solutions. The solution set is (x, y) x+3y=6 or (x, y) 2x+3y=9. C. There is no solution. The solution set is the empty set, ∅.

Divide: 2.4 × 10^-9 / 6 × 10^-6. Enter your answer as an integer or a decimal.

Factor. 9 x^2+22 x-15 9 x^2+22 x-15 = (Factor completely.)

The Quarter Pounder had calories. The Whopper had calories. In this video, an example problem was about two Quarter Pounders with cheese and three Whoppers that combined for a total of 3030 calories. How many calories were in each type of sandwich?

Write this expression in its most simplified, factored form. 12x^2y - 32xy + 8y

A sample value that lies very far away from the majority of the other sample values is the center, a distribution, an outlier, a variance.

Simplify: (1 / 2w^2)^(-2).

Simplify: (x^2-3x-4)/(x^2-6x+8) * (x^2-7x+10)/(x^2+5x+4)

Part 1 - Solve Problems With Rational Numbers Question 24 ( 0.1 points) Rewrite the following pair of rational numbers in increasing order 19/20, 17/18 17/18, 19/20 19/20, 17/18 Question 25 ( 0.1 points) Rewrite the following pair of rational numbers in increasing order 7/12, 2/3 2/3, 7/12 7/12, 2/3

Divide and simplify: (x^2+4x-5)/(x^2-6x+8) / (x+5)/(x-2)

The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 90% confident that his estimate is within eight percentage points of the true population percentage? Complete parts (a) through (c) below. n=106 (Round up to the nearest integer.) b) Assume that a recent survey suggests that about 79% of adults have heard of the brand. n= (Round up to the nearest integer.)

a) Assume that nothing is known about the percentage of adults who have heard of the brand. n=267 (Round up to the nearest integer.) b) Assume that a recent survey suggests that about 83% of adults have heard of the brand. n=151 (Round up to the nearest integer.) c) Given that the required sample size is relatively small, could he simply survey the adults at the nearest college? adults. B. No, a sample of students at the nearest college is a cluster sample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults. C. Yes, a sample of students at the nearest college is a simple random sample, so the results should be representative of the population of adults. D. No, a sample of students at the nearest college is a stratified sample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults.

Find the mean, median, and mode for the following data set. 38 76 22 76 99 43 (a) Find the mean. Round your answer to one decimal place, if necessary. Mean = (b) Find the median. Round your answer to one decimal place, if necessary. Median =

This question: 1 point The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls Click the icon to view the table. 0.0312 (Type an integer or a decimal. Do not round.) b. Find the probability of getting 1 or fewer girls in 8 births. 0.0352 (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)? A. Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability. B. Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the relevant probability. C. Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability. D. Since the probability of getting 1 girl is the result from part (a), this is the relevant probability. d. Is 1 a significantly low number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event. A. Yes, since the appropriate probability is less than 0.05, it is a significantly low number. B. No, since the appropriate probability is greater than 0.05, it is not a significantly low number. C. No, since the appropriate probability is less than 0.05, it is not a significantly low number. D. Yes, since the appropriate probability is greater than 0.05, it is a significantly low number.

What are the x-intercept and y-intercept of the line y=4x+58? a) x-intercept (4,0) y-intercept (0, 4/5) b) x intercept: (-5/4, 0) y-intercept: (0,5) c) x-intercept (5,0) y-intercept (0,-5/4)

What is the definition of a midpoint in a segment? A point that divides the segment into two equal parts A point that is at the end of the segment A point that is outside the segment

The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic millimeters.

Marcus is 5 7/24 feet tall. Ben is 5 5/16 feet tall. Which of the two boys is taller? Justify your answer.

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