Math Homework Questions & Answers Archive

Use the Laws of Logarithms to expand the expression. log3(AB^7)

Consider the following polynomial function: f(x)=x^4+2x^3-2x^2-4x-2 5. Evaluate f(-3) using synthetic substitution -3[1 2 -2 -4 -2 1 -3 +3 -3 +21 1 -1 1 -7 19] 6. Evaluate f(-2) using synthetic substitution 7. Evaluate f(-1) using synthetic substitution 8. Evaluate f(0) using direct substitution 9. Evaluate f(1) using direct substitution 1^4+2(1)^3-2()^2-4(1)-2 10. Evaluate f(2) using synthetic substitution 2 1 2 -2 -4 -2 +2 8 12 16 14

Construct an exponential function that has initial value 45 and growth factor 1.75. f(x)=

34. A un grupo de estudiantes se le asignó la tarea de lanzar un dado muchas veces y registrar los resultados. Como ocurrieron negligencias por parte de los estudiantes, lograron registrar parcialmente la información del experimento en la siguiente tabla: Dato fa fr % 1 7 2 20 3 a 4 43 5 8 % 6 50 6 % ¿Cuál es el valor de a ? A) 8 B) 12 C) 28 D) 35 35. ¿Cuál es la media aritmética de la edad del grupo de niños mostrados en la tabla? Intervalo c f fac [0-4[ 7 [4-8[ 6 [8-12[ 10 [12-16[ 5 30 A) 4 B) 7 C) 7,5 D) 8,5 36. Considere el conjunto A, compuesto por 20 datos, todos iguales a x, donde x es un número real negativo. Luego se puede determinar que: A) Solo la media es igual a x. B) Solo la mediana es igual a x. C) La media y la mediana valen x, pero no la moda. D) La media, la mediana y la moda valen x.

If X is normal with μ=100 and σ=10, what is the probability that X exceeds 115?

Find (f ∘ g)(x) and (g ∘ f)(x). f(x)=6x+1 ; g(x)=√x (f ∘ g)(x)=

8+5 x 9+8. x+1.5x 1 3x+3 23. --B: x+1-9

A tetrameter has what number of feet per line in poetry? Two Four Three One

The rent for a one-bedroom apartment in Southern California has a mean of 2,200 per month and a standard deviation of 250 per month. A sample of 50 one-bedroom apartments is randomly selected. a. What is the probability that the sample mean is at least 2100 per month? Round answer to four decimal places.

Given that x has a Poisson distribution with μ=10, what is the probability that x=3? P(3) ≈ (Round to four decimal places as needed.)

3. A small company has 3 divisions: Sales, Research and Development, and Manufacturing. One person from each division will be chosen to create an advisory board for the management group. If there are 8 people in Sales, 15 in Research and Development, and 48 in Manufacturing, how many different compositions of the advisory board are possible?

In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)=3(x-7)^2-2 The vertex is - (Type an ordered pair.)

Find the radius of the circle in the figure to the right. The radius of the circle is □ (Type an integer or a simplified fraction.)

A coin is tossed 3 times. Find the probability. a) getting none head c) getting two head b) Getting one head d) getting three head

A state lottery randomly chooses 7 balls numbered from 1 through 39 without replacement. You choose 7 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possible values of the random variable x. Is the experiment binomial? A. Yes, there are a fixed number of trials and the trials are independent of each other. B. Yes, the probability of success is the same for each trial. C. No, there are more than two outcomes for each trial. D. No, because the probability of success is different for each trial.

When the population doubles during each given unit of time, the growth is (A) Iinear. (B) geometric. (C) semilogarithmic (D) arithmetic (E) Exponential

In order to accumulate enough money for a down payment on a house, a couple deposits 444 per month into an account paying 3% compounded monthly. If payments are made at the end of each period, how much money will be in the account in 4 years? What is the amount in the account after 4 years? (Round to the nearest cent as needed.)

The function r(x)=-2x^3-18x^2+6 has one local minimum and one local maximum. Graph the function on your calculator to estimate these local extrema and the intervals on which r is increasing and decreasing. When you are giving multiple intervals on which the function is increasing or decreasing, use a comma in between the intervals, NOT a union symbol. r(x) has a local maximum of at x= r(x) has a local minimum of at x= . r(x) is increasing on the interval(s): r(x) is decreasing on the interval(s):

Express as a product. (log C z^-10)

Find the value of y.

Simplify the exponents. = (e^(-x) - e^x) / 2 = -sinh x (cosh x)^2 - (sinh x)^2 = ((e^x + e^(-x)) / 2)^2 - ((e^x - e^(-x)) / 2)^2 = 1/4 (□^2 - 1/4(□)^2)

Simplify the given polynomial by combining like terms. 16 x^2-3 x^2-y 16 x^2-3 x^2-y=

Does the series sum from k=2 to infinity of (-1)^(k+1) * (k^4+2)/(k^5-1) converge absolutely, converge conditionally, or diverge? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series converges absolutely because of the Limit Comparison Test with sum from k=1 to infinity of 2/k^5. B. The series converges conditionally because of the Alternating Series Test and the Limit Comparison Test with sum from k=1 to infinity of 1/k. C. The series diverges because the limit used in the Divergence Test does not exist. D. The series converges absolutely because the limit used in the Divergence Test is

Solve the inequality: 2(x-3)(x+9)(x-6)>0

Use the accompanying sections of a table of integrals to evaluate the following indefinite integral. The integral may require preliminary work, such as completing the square or changing variables, before it can be found in a table. ∫ dx / sqrt(144 x^2 - 169), x > 13/12 Click here to view basic integrals. Click here to view trigonometric integrals. Click here to view reduction formulas for trigonometric functions. Click here to view integrals involving squares of x and a. Click here to view integrals involving ax+1-b. Click here to view other integrals. ∫ dx / sqrt(144 x^2 - 169) = □

Find the unit rate. 65 cupcakes in 13 boxes = cupcakes per box

Radicals Domain of a square root function: Advanced Find the domain of the function. g(x) = sqrt(28+7x) Write your answer using interval notation.

Solve the system of equations -7x + 5y = 25, 4x + 7y = -34. How many solutions are there? Select an answer. If there are no solutions, enter DNE below. If there is one solution, enter it below as an ordered pair. If there are infinitely many solutions, enter any ordered pair which is a solution.

Data Analysis Questions 4 When cleaning up data, which is not appropriate to change? A Units of Measurements B Spelling of Categories C True Outliers D Unreasonable Outlier 5 Our classroom data represents a part of our campus data. A large B small Population data refers to all of those considered in a survey. True False 7 Which is quantitative data? A height B hair color C type of after school job 8 Which is categorical data? A foot length B armspan C favorite music 9 A histogram displays the frequency of collected data. True False 10 A normal distribution is represented by a bell curve. True False

According to a survey of 1,200 adult college students, the mean number of alcoholic beverages consumed per week is 14 , with a standard deviation of 5 beverages. What test statistic is calcuated for this scenario? p -value mean test t-value null test z-score Submit Question

According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze. Complete parts (a) through (c). (a) What is the probability that among 10 randomly observed individuals, exactly 5 do not cover their mouth when sneezing? Using the binomial distribution, the probability is 0.0724 . (Round to tour decimal places as needed.) (b) What is the probability that among 10 randomly observed individuals, fewer than 6 do not cover their mouth when sneezing? Using the binomial distribution, the probability is 0.9728 . (Round to tour decimal places as needed.) (c) Would you be surprised it, atter observing 10 individuals, fewer than half covered their mouth when sneezing? Why? Yes, it would be surprising, because using the binomial distribution, the probability is which is less than 0.05 (Round to tour decimal places as needed.)

Using the given graph of the function (f), find the following. (a) the intercepts, if any (b) its domain and range (c) the intervals on which it is increasing, decreasing, or constant (d) whether it is even, odd, or neither (a) What are the intercepts? ((1,0),(-2,0),(0,2)) (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) (b) The domain is (Type your answer in interval notation.)

7) y=3x k=3 9) y/x=5 11) y=3/5 x

The scores of the 54 members of a sociology lecture class on a 70-point exam are listed to the right. Use five classes with a uniform class width of 5 points, and use a lower limit of 45 points for the first class to construct a histogram. 606364526058635356 644854645751676049 595148525360586064 525666586659625058 535165626155595262 586153565550566254

Determine the total area under the standard normal curve for parts (a) through (c) below. For each, be sure to draw a standard normal curve. (a) Determine the total area under the standard normal curve to the left of z=-2 or to the right of z=2. Draw a standard normal curve and shade the area that is to be found. Choose the correct graph below. The total area under the standard normal curve to the left of z=-2 or to the right of z=2 is (Round to four decimal places as needed.)

Mai got a prepaid debit card with 30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 24 cents per yard. If after that purchase there was 23.04 left on the card, how many yards of ribbon did Mai buy? yards

Suppose a professional golfing association requires that the standard deviation of the diameter of a golf ball be less than 0.003 inch. Determine whether these randomly selected golf balls conform to this requirement at the α=0.01 level of significance. Assume that the population is normally distributed. Click the icon to view the chi-square distribution table. 1.681 1.682 1.681 1.679 1.677 1.684 1.682 1.678 1.677 1.682 1.681 1.676 What are the correct hypotheses for this test? H0: σ=0.003 versus H1: σ<0.003 (Type integers or decimals. Do not round.) Find the sample standard deviation. s= (Round to five decimal places as needed.)

Which answer choice represents the graph? A) y=2x+4 B) y=-2x+4 C) y=2/3x+4 D) y=-2/3x+4

Use the properties of logarithms to expand log(y x^3). Each logarithm should involve only one variable and should not have any exponents or fractions. Assume that all variables are positive. log(y x^3)=

Consider the function graphed at right. Join multiple intervals with a comma (not a union) for increasing/decreasing/constant. A) Give the interval(s) where the function is increasing. B) Give the interval(s) where the function is decreasing. C) Give the interval(s) where the function is constant. D) Give the domain of the function using interval notation. E) Give the range of the function using interval notation.

What is the longest river in Asia, the third-longest in the world and the longest in the world to flow entirely within one country?

Complete the recursive rule and an explicit rule for the arithmetic sequence described by the table. Month n 1 2 3 4 5 Total Deposits () f(n) 89 102 115 128 141 f(1)= The common difference is . The recursive is f(1)= f(n)=f(n-1)+ for n ≥ . The explicit rule is f(n)= + (n-1)

4x + 9y = 12 -2x + y = -6

Make a sine wave with the given amplitude, period or frequency, and phase shift. Use the form y=A sin (B(t-C)). Assume A>0. Amplitude 2, period π/3, and phase shift π/3 (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the equations in terms of t and y, where t is the independent variable and y is the dependent variable.) equation: 2 sin (6(t-π/3)) Sketch the graph over two periods.

A normal distribution has a mean of 0 and standard deviation of 1. What area is between -2 and 1?

Two machines complete a printing project in 3 h. How many machines are needed to finish the same project in 2 h?

Here are two similar figures: scale 1 factor S2/s1=3 A2/A1=9 What are the scale factor and the area factor for this pair? Does the relationship make sense to you?

Solve the problem of joint variation using a constant of variation. Z varies jointly as W and Y. If Z=300 when W=10 and Y=15, find Z when W=50 and Y=5. The quantity indicated is Z=

If y varies jointly as x and z, find y when x=6 and z=5 if the constant of variation is k=3. y=

Evaluate the following logarithms. (a) log 2 (b) ln 55 (c) log 52,430 (a) log 2= (Round to three decimal places as needed.)

The total sales of a company (in millions of dollars) t months from now are given by the following formula. S(t)=3 sqrt(t+1) (A) Use the four-step process to find S'(t). (B) Find S(15) and S'(15). (C) Use the results in part (B) to estimate the total sales after 16 months and 17 months. (A) S'(t)= (B) S(15)= (Type an integer or a decimal.) S'(15)= (Type an integer or a decimal.) (C) S(16) ≈ (Type an integer or a decimal.) S(17) ≈ (Type an integer or a decimal.)

Determine whether the graph is that of a function by using the vertical-line test. In either case, use the graph to find the following. (a) The domain and range (b) The intercepts, if any (c) Any symmetry with respect to the x-axis, y-axis, or the origin Is the graph that of a function? A. No, the graph is not a function because a vertical line x=2 intersects the graph at two points. B. No, the graph is not a function because a vertical line x=2 intersects the graph at only one point. C. Yes, the graph is a function because every vertical line intersects the graph in at most one point. D. Yes, the graph is a function because every vertical line intersects the graph in more than one point. (a) The domain is (Type your answer in interval notation.)

Differentiate implicitly to find dy/dx. Then find the slope of the curve at the given point. 6x^2 - 7y^3 = -394 ; (-3,4) dy/dx =

1.5 ÷ 0.6 =

Solve. B=H P, for P

Let C0,2 be the space of continuous functions mapping the interval 0 ≤ x ≤ 2 into R. Let T: C0,2 → P be defined by T(f)=∫0^2 f(x) dx. If possible, give three different functions in ker(T).

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y = -5x^2 + 263x - 1844

A single card is drawn from a standard 52-card deck. Find the conditional probability that the card is a club, given that it is black. The probability that the card is a club, given that it is black is (Type an integer or a simplified fraction.)

Which expression is equivalent to (4.5 j+6)(-2.3) ? -24.15 j^2 -10.35 j^2-13.8 j 10.5 j^2-13.8 j 2.2 j^3+6

Use the Gauss-Jordan method to solve the system of equations. 15) x-y+z=-2 x+y+z=-6 x+y-z=4 A) No solution B) (1,-2,-5) C) (1,-5,-2) D) (-5,1,-2)

Solve the exponential equation. 3^x=20

Use the table from part (a) to find μₓ̄ (the mean of the sampling distribution of the sample mean) and σₓ̄ (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. μₓ̄= σₓ̄=

Solve for g. g-5=81 g=

10.114 .543-102.11= 12.433 12.532 104.332 102.433

In a Leichtman Research Group survey of 850 TV households, 74.6% of them had at least one Internet-connected TV device (for example, Smart TV, standalone streaming device, connected video one Internet-connected TV device is equal to 81%. Test that claim using a 0.10 significance level. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. Let p denote the population proportion of all homes with at least one Internet-connected TV device. Identify the null and alternative hypotheses. H2: p = B 1 H1: p = 81 (Type integers or decimals. Do not round.) Identify the test statistic z = -4.61 (Round to two decimal places as needed.) Identify the P-value. P -value = (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. the null hypothesis. There sufficient evidence to the claim that the percentage of all homes with at least one internet-connected TV device is equal to 81%

Plot the linear function using its slope and y-intercept f(x)=1/3 x-1

Evaluate the expression: -5a+2b-6b if a=-6 and b=1/2

A headline read, "More Than Half of Americans Say Federal Taxes Too High." The headline was based on a random sample of 1033 adult Americans in which 524 stated the amount of federal tax they have to pay is too high. Is this an accurate headline? Assume the alpha=0.1 level of significance. Identify the null and alternative hypotheses for this test. A. H0: p=0.50 B. H0: p ≠ 0.50 C. H0: p=0.50 H1: p ≠ 0.50 H1: p=0.50 H1: p>0.50 D. H0: p<0.50 H1: p=0.50 E. H0: p>0.50 H1: p=0.50 F. H0: p=0.50 H1: p<0.50 Find the test statistic for this hypothesis test. z= (Round to two decimal places as needed.)

Choose the correct description of the mode below. A. The mode is the middle value in a data set. It is not affected by outliers. B. The mode is the sum of all the values divided by the number of values. It is not affected by outliers. C. The mode is the sum of all the values divided by the number of values. It can be strongly affected by outliers. D. The mode is the most common value in a data set. It can be strongly affected by outliers. E. The mode is the most common value in a data set. It is not affected by outliers. F. The mode is the middle value in a data set. It can be strongly affected by outliers.

Multiply and simplify. (sin alpha+sec alpha)(sin alpha-sec alpha)

Question 4, 9.2.19-T A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̄, is found to be 194, and the sample standard deviation, s, is found to be 58. (a) Construct a 96% confidence interval about μ if the sample size, n, is 37 (b) Construct a 96% confidence interval about μ if the sample size, n, is 55 How does increasing the sample size affect the margin of error, E? (c) Construct a 99% confidence interval about μ if the sample size, n, is 37 How does increasing the level of confidence affect the size of the margin of error, E? (d) if the sample size is 12, what conditions must be satisfied to compute the confidence interval?

A car service charges customers a flat fee per ride (which is higher during rush hour traffic) plus charges for each minute and each mile. Suppose that, in a certain metropolitan area during rush hour, the flat fee is 3, the cost per minute is 0.20, and the cost per mile is 1.50. Let x be the number of minutes and y the number of miles. At the end of a ride, the driver said that the passenger owed 13.50 and remarked that the number of minutes was three times the number of miles. Find the number of minutes and the number of miles for this trip. Complete the equation that represents the total cost of the ride. 0.20x + 1.50y + 3 = 13.50 Complete the equation that represents the relationship between the number of minutes and number of miles. x - 3y = 0 Find the number of minutes and the number of miles for this trip. The trip was minutes and they traveled miles.

A group of data items and their mean are given. 198,225,255,258,270,342; Mean = 258 a. Find the deviation from the mean for each of the data items. b. Find the sum of the deviations in part (a). a. Type the deviation from the mean for each of the data items. 198 225 255 258 270 342 (Simplify your answers.)

Which expression is equivalent to (6(3 a+7)+4 ?) - (3 a+46) - (18 a+11) - (18 a+46) - (46 a+18)

-6y-12 ≤ 2x

A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Factor B ------:--------:------ Level 1 Level 2 Level 3 Level 1 115 70 55 175 86 103 Factor A Level 2 125 137 120 75 105 116 Test for any significant main effects and any interaction. Use α=0.05. Round Sum of Squares to the whole number, F value, Mean Square to two decimals, if necessary, and p-value to four decimals. Source of Variation Sum of Squares Degrees of Freedom Mean Square F value p-value Conclusion ------------------------------------------------------------------------------------------------------------ Factor A Not significant ✓ Factor B Not significant Interaction Not significant Error Total

A set of data items is normally distributed with a mean of 80 and a standard deviation of 5. Convert 80 to a z-score. z80= (Do not round until the final answer. Then round to the nearest hundredth as needed.)

Simplify the expression: (v^2 + 6v + 5) / (6v^2 + 12v + 6)

Consider the piecewise function f(t)= 4 if t<-8 3t+7 if -8 ≤ t<4 3cos(7t) if 4 ≤ t<8 74e^(3t) if t ≥ 8 This can be written using step functions as : f(t)=□+u-8(t) · □+ u4(t) · □+u8(t) · □

Approximate the area of the region between the graph of the function g(x)=100x-x^3 and the x-axis on the interval [0,10]. Use n=4 subintervals, and use the right endpoint of each subinterval when approximating the area for each subinterval. If necessary, round any intermediate calculations to no less than six decimal places and round your final answer to four decimal places.

The function f(x) is invertible. Find f^(-1)(2).

Solve the equation for all real solutions in simplest form. 4 a^2 + a - 6 = 0

for Liberal Arts (3 cr) - Garey Matsuyama Homework Question 16, 12.2.ICV1 Part 3 of 7 Watch the video and then complete parts (a) through (g) below. Click here to watch the video. Use the frequency distribution to the right to complete parts (a) through ( g ). x f 10 2 14 5 15 6 20 5 25 2 (a) List the items in the data set in numerical order. List each item as many times as it appears in the set. A. 2,2,5,5,6 B. 10,10,14,14,14,14,14,15,15,15,15,15,15,20,20,20,20,20,25,25 C. 10,14,15,20,25 D. 2,2,2,2,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6 (b) What is the mode of the data set? 15 (Type a whole number.) (c) How can the mode of any frequency distribution be identified? A. The highest value in the data column B. The value in the data column corresponding to the highest value in the frequency column C. The sum of the values in the frequency column D. The highest value in the frequency column

Find Δy and dy if y=x^3+2x^2-1 x=-1 Δx=dx=0.01 Round your answers to 6 decimal places. (a) Δy (a) (b) dy (b)

Given g(x)=3x^3, a. Calculate g(3) and compare this value with g(6). g(3)= and g(6)=. b. Calculate g(4) and compare this value with g(8). g(4)= and g(8)=. c. What happens to the value of g(x) if x doubles in value? Enter your answer using an integer. The value of g(x) is . d. What happens to g(x) if x is divided by 2? Enter your answer using an integer. The value of g(x) is .

The test statistic of z=-1.92 is obtained when testing the claim that p<1/3. This is a left-tailed test. Using a 0.10 significance level, complete parts (a) and (b). Click here to view the standard normal distribution table for negative z scores. Click here to view the standard normal distribution table for positive z scores. a. Find the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) A. There is one critical value; the critical value is B. There are two critical values; the lower critical value is and the upper critical value is .

A worker at the local Department of Motor Vehicles (DMV) claims that 60% of teenagers smile in their driver's license photo. In a random sample of 10 teenagers from last month's new driver's licenses, only 4 of them were smiling in their photos. To see how unusual this sample is, 100 simulated trials were conducted under the assumption that 60% of teenagers smile for their driver's license photo. There is about an 8% chance that 4 or fewer teenagers smiled for their photo. This is not unusual and is not convincing evidence that the true probability is less than 60%.

(3x^3 + 10x^2 - 12x + 2) ÷ (3x + 1)

The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy last at least 300 days? Round to four decimal places. A. 0.0164 B. 0.0179 C. 0.9834 D. 0.4834

Proctoring Enabled: CHO9Quiz (i) Solved Standahl Air uses two measures of activity, flights and passengers, in the cost formulas in its budgets and performance reports. The cost formula for operating costs is 39,590 per month plus 2,649 per flight plus 4 per passenger. The company expected its activity in August to be 82 flights and passengers, but the actual activity was 85 flights and 297 passengers. The actual cost for plane operating costs in August was 255,690 The plane operating costs in the planning budget for August would be closest to: Multiple Choice 255,690 257,984 265,943 246,666

Using the graph as your guide, complete the following statement. The discriminant of the function is

Solve the inequality, and graph the solution set. (x+8)(x-1)<0

Counting and Probability Outcomes and event probability A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Outcomes. Probability --- --- --- --- --- --- --- --- --- --- TH HHT THT HTH HTT THH T1T HHH Event A: Exactly one head — 0 0 — Event B: A tail on the last toss ■ (I) Event C: More tails than heads ■ ■ ■ D (T) —

Write an equation that expresses the following relationship. u varies directly with p and inversely with d In your equation, use k as the constant of proportionality.

Divide. (6 x^2 + 17 x + 15) ÷ (2 x + 3) Your answer should give the quotient and the Quotient: Remainder:

Subtract as indicated. Assume all variables are greater than or equal to zero. 3 sqrt(48 x)-3 sqrt(12 x) 3 sqrt(48 x)-3 sqrt(12 x)= (Type an exact answer, using radicals as needed.)

3=9-(-17)-12=21

Use the quadratic formula to solve 3x^2-x+10=0 x=(-b ± sqrt(b^2-4ac))/(2a) (1+sqrt(119)i)/3 and (1-sqrt(119)i)/3 (1+sqrt(119)i)/6 and (1-sqrt(119)i)/6 (-1+sqrt(119)i)/3 and (-1-sqrt(119)i)/3 (-1+sqrt(119)i)/6 and (-1-sqrt(119)i)/6

If c=181, angle A=75° and angle B=49°, b= ; Assume angle A is opposite side a, angle B is opposite side b, and angle C is opposite side c.

Match the binomial probability P(x<23) with the correct statement. A. P (there are fewer than 23 successes) B. P (there are at most 23 successes) C. P (there are at least 23 successes) D. P (there are more than 23 successes)

Solve the logarithmic equation. [ 2 ln (x-5)=ln (x+13)+ln 3 ] What is the equivalent algebraic equation that must be solved? A. (2(x-5)=(x+13)+3) B. ((x-5)^2=(x+13)+3) C. ((x-5)^2=3(x+13)) D. (2(x-5)=3(x+13)) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (x=) (square) (Simplify your answer. Use a comma to separate answers as needed.) B. There is no solution.

Example: The total time spent by visitors to the Renzie Park Art Exhibit is normally distributed with a mean μ=58 minutes and a standard deviation of σ=9 minutes. What is the probability that a randomly selected visitor spends between 58 and 67 minutes at the exhibit?

Use synthetic division to divide f(x)=x^3+18x^2+101x+180 by x+4. Use the result to find all zeros of f. (x^3+18x^2+101x+180) ÷ (x+4) = (Do not factor. If there is a remainder, type your answer in the form quotient + remainder / divisor )

In a random sample of 6 residents of the state of California, the mean waste recycled per person per day was 2.7 pounds with a standard deviation of 0.74 pounds. Determine the 80% confidence interval for the mean waste recycled per person per day for the population of California. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

identify the x intercept y intercept and vertex

Which scenario is a counterexample that disproves the AAA criteria for congruence? A. Two equilateral triangles with side lengths of 4 cm B. Two isosceles triangles with congruent non base angles and bases of 2 ft and 7 ft C. Two 45°-45°-90° triangles that share a diagonal to form a square D. Two right triangles with hypotenuses that are 6 in and 8 in E. I don't know yet

A 10 x^2+9 x-9 A=10 x B=9 x C=-9

Solve for all solutions by factoring: 5x^3 = 20x^2 + 60x (Put in standard form, factor, then solve.)

A rectangular board is 1200 millimeters long and 900 millimeters wide. What is the area of the board in square meters? Do not round your answer.

You wish to test the following claim (H1) at a significance level of α=0.10. Ho: μ=69.9 H1: μ<69.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 41.4 37.2 13.9 What is the test statistic for this sample? (Round intermediate values to 2 decimal places. Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null

¿Cuál de las siguientes expresiones algebraicas corresponde a 2(x+4)/(x)-3x/(x-2) ? Seleccione una: a. -(x^2-4x+16)/((x-2)x) b. -(x^2+8)/((x-2)x) c. -((3x+4))/(x-2) d. -(x+8)/((x-2)x)

Divide using long division. State the quotient, q(x), and the remainder, r(x). (12 x^2 -7 x -3) ÷ (3 x -4) (12 x^2 -7 x -3) ÷ (3 x -4) =

(4j^5 - 8j^4 + 3j^3 - 8j^2)^2 = (Simplify your answer. Type your answer in the form a + bj.)

Homework 11 Question 7, 6.1.39 HW Score: 37.5%, 6 of 16 Part 1 of 3 Points: 0 of 1 Save (a) Find the equation of the straight line through (3,4) and (5,6). (b) Find the equation of the line through (-5,5) with slope 6. (c) Find a point that lies on both of the lines in (a) and (b). a. Find the equation of the straight line through (3,4) and (5,6). (Type an equation.)

For #5-6, write each equation in standard form. 5. y = -(5/2)x - 3

Determine the domain of the function: 2. (g(x)=frac2x+1) Description: Domain Range Vertical Asymptote Horizontal Asymptote

If θ is an acute angle, solve the equation tan θ = 1/7. Express your answer in degrees, rounded to one decimal place.

Quadratic, Rational, and Radical Equations Solving an equation written in factored form Solve. (y+3)(y+2)=0 (If there is more than one solution, separate them with commas.) y=

What is the equation of the vertical asymptote for the graph of the rational function g(x)=6/(x-1)? x=1 x=-1 x=6 x=1/6

Convert to a logarithmic equation. e^5 = k

Se tiene que, 5 diseñadores son capaces de imprimir tres publicidades distintas en 8 días mientras que 10 diseñadores lo realizan en 4 días. Dada la información anterior, ¿Qué tipo de proporcionalidad se cumple? Seleccione una: a. Directa entre las variables cantidad de diseñadores y cantidad de publicidades. b. Inversa entre las variables cantidad de diseñadores y cantidad de publicidades. c. Directa entre las variables cantidad de diseñadores y cantidad de dias. d. Inversa entre las variables cantidad de publicidades y cantidad de dias.

Find the perimeter of the parallelogram. Express the perimeter using the same unit of measure that appears on the given sides. The perimeter is

Follow the steps for graphing a rational function to graph the function R(x)=8/(x^2-9). Determine the oblique asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one oblique asymptote, . (Type an equation. Use integers or fractions for any numbers in the equation.) B. The function has two oblique asymptotes. The oblique asymptote with a negative slope is , and the oblique asymptote with a positive slope is . (Type equations. Use integers or fractions for any numbers in the equations.) C. There is no oblique asymptote.

In this formula, L=ab/(m+h), what happens to the value of L if a, m, and h stay the same, but the value of b triples? L triples L quadruples (four times as much) L decreases L doubles L stays the same

Graph the system below and write its solution. 2x + y = 4 y = -(1/2)x + 1 Note that you can also answer "No solution" or "Infinitely many" solutions.

Find the production matrix for the following input-output and demand matrices using the open model. A=[ 0.1 0.3 0.45 0.1 ] D=[ 3 5 ] The production matrix is (Round the final answer to the nearest hundredth as needed. Round all intermediate values to four decimal places as needed.)

Use the graph of the function f shown to the right to answer parts (a)-(n). (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) (k) How often does the line y=1 intersect the graph? 3 time(s) (I) How often does the line x=1 intersect the graph? 1 time(s) (m) For what value(s) of x does f(x)=-8 ? x= (Use a comma to separate answers as needed.)

Provide an appropriate response. Use the Standard Normal Table to find the probability. The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. A baby is premature if it is born three weeks early. What percent of babies are born prematurely?

Graph the system of linear inequalities in two variables. 4x + 2y ≤ 6 4x - 2y ≥ -18 x - 2y ≤ 6

This table shows how much each type of meat costs at a local deli. Type of Meat Price per Pound --- --- ham 5.99 turkey 4.99 roast beef 6.99 salami 2.99 bologna 3.99 A customer purchased 1/4 pound of ham, 1 1/2 pounds of turkey, 1 pound of roast beef, and 3/4 pound of bologna. Approximately what will the customer pay for the purchase before sales tax? - 17 - 19 - 22 - 25

Rationalize the denominator and simplify. 3 / (5 + 2√2)

A marketing survey compiled data on the number of cars in households. If X= the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution: X 012345 P(X) 0.240 .370 .200 .110 .050 .03 What is the probability that a randomly chosen household has at least two cars?

Which of the following statements is not true? A. If the probability of an event occurring is 0, then it is impossible for that event to occur. B. An event can have a probability of 1.5 of occurring. C. If P(A)=0, then the probability of the complement of A is 1. D. Probability can never be a negative value.

What are the domain and range of this function?

Graph the equation y=-x^2+2x+8 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.

The scale on a map is 1 inch = 50 miles. Brockton, MA is 2.8 inches from Portland, ME on the map. What is the actual distance, in miles, between Brockton, MA and Portland, ME? Enter only your numerical answer miles.

Simplifica: (-20)(-15)

COTX es igual a sen x / cos x 1 / cos x 1/sex cos x / sen x

Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of (y=f(x)). [ f(x)=frac1x^2-3 x-18 ] Find the domain of (f(x)). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The domain is all real (x), except (x=6,-3). (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. The domain is all real (x). Find the (x)-intercepts of (f(x)). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The (x)-intercept(s) is/are at (x=) (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no (x)-intercepts. Find the (y)-intercepts of (f(x)). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The (y)-intercept(s) is/are at (y=) . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no (y)-intercepts.

Determine the most precise name for the quadrilateral. kite rhombus isosceles trapezoid trapezoid

Here are summary statistics for the weights of Pepsi in randomly selected cans: n=36, x̄=0.82411 lb, s=0.00567 lb. Use a confidence level of 95% to complete parts (a) through (d) below. a. Identify the critical value t(α / 2) used for finding the margin of error. To determine the critical value t(α / 2), first determine the value of α for a 95% confidence level. α= (Type an integer or a decimal. Do not round.)

Determine whether the following statement is true or false. Every graph represents a function. Choose the correct answer below. A. The statement is false because a graph that crosses the y-axis two times does not represent a function. B. The statement is true because every graph associates a unique y-value for each x-value. C. The statement is false because a graph that crosses the x-axis two times does not represent a function. D. The statement is true because every graph associates a unique x-value for each y-value.

Quiz #4 (7.1-7.4) Question 19 of 30 This quiz: 30 point(s) poss This question: 1 point(s) How many times larger is a cubic meter than a cubic decimeter? A cubic meter is 1000 times larger than a cubic decimeter. (Type a whole number.)

Adriana Lima invests 8,175 into an account that earns 7.9% compounded continuously. If she checks her account 14 years later, what will the balance in her account be?

Solve. 10 e^(5-x)+9=29 If the answer is not an integer, enter it as a decimal rounded to the nearest hundredth, if needed. x=

Find the term (a11) for the arithmetic sequence with first term, (a1=13), and common difference, (d=2). (a11=)

Use a calculator to find the common logarithm. log 22 The answer is □ (Round to four decimal places.)

Perform the indicated operation by removing the parentheses and combining like terms. (7x^2+5x+1)-(x^2+7x)

x^3 y - xy^3 = 4

Solve the equation by using the quadratic formula 3 k^2-k-3=0 Simplify answers. List multiple answers with a comma in bet

Translate into our numeral system: 8000

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Rolling a single die 26 times, keeping track of the numbers that are rolled A. Not binomial: there are too many trials. B. Not binomial: there are more than two outcomes for each trial. C. Not binomial: the trials are not independent. D. The procedure results in a binomial distribution.

Write an equation of the function (g(x)) that is the graph of (f(x)=x), but shifted right 4 units and shifted up 8 units.

246.46 * sin 8° 5.8′ =

Fill in the blank. 243 kl = m^3 (Simplify your answer. Type an integer or a decimal.)

Consider the function f(x)=10/x. a. Complete the table of values below. x f(x)=10/x -1 -0.1 -0.001 0.001 0.1 1 b. Based on your work in part (a), which of the following are true? Select all that apply. As x → 0+, f(x) decreases without bound. As x → 0-, f(x) decreases without bound. As x → 0-, f(x) increases without bound. As x → 0+, f(x) increases without bound.

Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Male: 15,862, 25,747, 1,423, 7,714, 19,553, 15,773, 13,582, 26,500 Female: 24,505, 13,706, 18,910, 17,286, 13,012, 17,569, 16,334, 18,949 H1: μd ≠ 0 word(s) (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, fail to reject the null hypothesis. There is not sufficient evidence to support the claim that males speak fewer words in a day than females. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is word(s) <μd< word(s). (Round to the nearest integer as needed.)

Members of the band sold juice and popcorn at a college football game to raise money for an upcoming trip. The band raised 2,000. The amount raised is divided equally among the m members of the band. Which equation represents the amount, A, each member receives? A = m / 2000 A = 2000 / m A = 2000 m A = 2000 - m

Perform the indicated operations and reduce to lowest terms. Assume that no denominator has a value of zero. (x^2-1)/(2x^2+3x+1) ÷ (x^2-1x)/(2x^2+13x+6)

3. Write the quadratic equation whose roots are 2 and 3 , and whose leading coefficient is 4 .

A store surveyed their customers to find out their ages. The bar graph below shows the number of customers in each age group. What percent of customers surveyed were 18-24? Round your answer to 1 decimal place.

Given m n, find the value of x and y.

Consider the following graph of g(x). Write a formula for g(x) that describes the transformations performed on the basic function.

Evaluate the following integral or state that it diverges. [ int1^infty 4 e^-4 x dx ]

Which value of p̂ appears to give the maximum value of the product p̂q? Choose the correct answer below. A. The value p̂=0.49 gives the maximum value of the product p̂q̂. B. The value p̂=0.55 gives the maximum value of the product p̂q̂. C. The value p̂=0.51 gives the maximum value of the product p̂q̂. D. The value p̂=0.50 gives the maximum value of the product p̂q̂.

Just output the content of the question, DO NOT output additional information or explanations.

A(an) is a basic sound unit of a given language. - syntax - phoneme - morpheme - audio encompasses the processes associated with perception, knowledge, problem solving, judgment, language, and memory. - personality - schema - targeting - cognition Which term refers to the vocabulary of a language? - morpheme - grammar - lexicon - phoneme An anchoring bias occurs when you focus on - personal opinion versus empirical knowledge - empirical knowledge versus personal opinion - direct experience versus indirect experience - one piece of information versus all of the information

What is the area of this figure?

The average grade in a statistics course has been 74, with a standard deviation of 9. If a random sample of 69 is selected from this population, what is the probability that the average grade is more than 77? Use Appendix B. 1 for the z values. (Round your z value to 2 decimal places and the final answer to 4 decimal places.) Probability

Question 11 Choose the correct answer. Factor (f(x)) into linear factors. [ f(x)=x^3-3 x^2-49 x+147 ] (A) (f(x)=(x-7)(x-3)(x+3)) (B) (f(x)=(x-7)(x+3)(x+7)) (C) (f(x)=x(x-7)(x-3)) (D) (f(x)=(x-7)(x-3)(x+7))

Which of the following is the correct decimal form of 25/6 ? A. 4.1(6) B. 4 .(16) C. 4.16 D. 4.16667

Express the following rational number as a decimal. 25/6

Find the greatest common factor for the list of terms. x^5, x^7, x^8

A line passes through the point (2,8) and has a slope of 9. Write an equation in slope-intercept form for this line.

Simplify the function. f(x)=(x^2+4 x-21)/(x^2-9) f(x)= List any restrictions on the domain. (Enter your answers as a comma-separated list.) x ≠

Find the y-intercept and x-intercept of the line. 2x-5y=9 y-intercept: x-intercept:

Given the following function, (a) find the vertex; (b) determine whether there is a maximum or a minimum value, and find the value; (c) find the range; and (d) find the intervals on which the function is increasing and the intervals on which the function is decreasing. f(x)=4 x^2+24 x-28

Use transformations to graph the function. Determine the domain, range, horizontal asymptote, and y-intercept of the function. f(x)=4+5^(x-1)

Determine whether the following individual events are overlapping or non-overlapping. Then find the probability of the combined event. Drawing either a black two or a red three on one draw from a regular deck of cards Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. (Type an integer or a simplified fraction.) A. The individual events are non-overlapping. The probability of the combined event is . B. The individual events are overlapping. The probability of the combined event is

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