Math Questions

A cell phone company charges $40 per month for unlimited calling, and $0.20 per text message sent. If t represents the number of text messages Roxy sent last month, which expression represents the cost of her bill last month before any taxes or additional fees?

Which of the following expressions is incorrect? |-12| = 12 |12| = 12 -|-12| = -12 -|12| = 12

If you were to solve the following system of equations by elimination, what number should you multiply the top equation by? 7x + 2y = 29 3x + 4y = 25 a.) 4 b.) -2 c.) 2 d.) 2 e.) 8

The Thomas Jefferson Memorial is on 18.36 acres of land and the Franklin Delano Roosevelt Memorial is on 7.5 acres of land. How many more acres is the Jefferson Memorial than the Roosevelt Memorial? 9.86 acres 10.86 acres 11.31 acres 17.61 acres

A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $7.80 and then an additional 7 cents per minute of use. In Plan B, there is no monthly fee, but the customer pays 9 cents per minute of use. For what amounts of monthly phone use will Plan A cost at least as much as Plan B? Use m for the number of minutes of phone use in a month, and solve your inequality for m.

The amount of water an electric dishwasher uses to wash dishes varies directly with the number of loads of dishes. The dishwasher uses 32 gallons of water to wash 4 loads of dishes. How many gallons of water will the dishwasher use to wash 10 loads of dishes? Record your answer. Be sure to use the correct place value.

Assuming the population has a bell-shaped distribution, if a sample size n 12 has a sample mean x= 35 with a sample standard deviation s = 7, find the margin of error at a 95% confidence level. Round the answer to two decimal places.

The vertices of an ellipse are located at (1,4) and (9,4) and its co-vertices are located at (5, 7) and (5, 1). a. Find the center of the ellipse.

If you solve a system of equations, and your final step ends with the following answer: 12= 12....how many solutions are there to the system of equations? infinite solutions no solution one solution

Suppose that in a large population of students, the mean amount of sleep the previous night was μ = 6.9 hours and the standard deviation was σ = 1.55 hours. Consider randomly selected samples of n = 220 students. (a) What is the value of the mean of the sampling distribution of possible sample means? Mean = 6.9 (b) Calculate the standard deviation, s.d., of the sampling distribution of possible sample means. (Round your answer to three decimal places.) s.d.(x) = 105 (c) Use the Empirical Rule to find values that fill in the blanks at the end of the following sentence. (Round your answers to three decimal places.) For 68% of all randomly selected samples of n = 220 students, the mean amount of sleep the previous night will be between 219.895 and 220.105 hours. (d) Use the Empirical Rule to fill in the blanks at the end of the following sentence. (Round your answers to three decimal places.) For 95% of all randomly selected samples of n = 220 students, the mean amount of sleep will be between 219.790 and 220.210 hours.

Find the function that is finally graphed after the following transformations are applied to the graph of y=√x in the order listed. (1) Vertical stretch by a factor of 2 (2) Shift down 3 units (3) Shift right 1 unit

What does the graph of y=x+- 1/(x+2)²-3 look like? Graph the equation on your calculator. Use the trace and/or zoom buttons to find the r- and y-intercepts. What is the domain of this function? What is the range?

Match the amplitude, midline, period, and frequency for the cosine equation. f(x) = 5 cos(2x) + 3 1.5 2. π 3. 2 4. y = 3 a. Amplitude b. Frequency c. Midline d. Period

Given g(x)=x²-5x, find the equation of the secant line passing through (-3, g (-3)) and (4, g (4)). Write your answer in the form y=mx+b.

Find the exact value of the following expression. Do not use a calculator to enter a decimal approximation. sinπ/4

According to a recent Pew Research poll, 68% of Americans say that the U.S. economic system unfairly favors the powerful. In a recent sample of 830 Americans, 111 agreed that the U.S. economic system unfairly favors the powerful. Determine the values of p and p. Round solutions to two decimal places, if necessary. p= p^=

An elliptical whispering gallery is 10 m long. Anna and Francis find that if they each stand 4 m away from the ends of the gallery at its foci, they can hear each other perfectly. What is the width of the gallery?

Write the equation that results in the desired transformation. The cube root function, vertically shrunk by a factor of 0.5, and reflected across the x-axis. y = (Type an expression using x as the variable.)

The mean weight of all Goliath grouper caught on the Treasure coast is 438 pounds, with a standard deviation of 49 pounds. Suppose a random sample of 92 Goliath Grouper from the Treasure Coast are aught and weighed. Determine the probability that the average weight of the sample of 92 Goliath Grouper is within 8 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four decimal places, if necessary. P( within 8 pounds of μ)

Suppose there are eight salespeople. If seven of the salespeople earned $2,400, $2,500, $2,800, $2,800, $3,400, $3,400, and $3,800, how much would the eighth person would need to earn for the median to be $3,000? $3,200 $3,000 $2,800 $3,100

Two groups of students on a fieldtrip is getting food in a fast food restaurant. The first group bought 8 burgers and 4 soft drinks for $34.08. The second group bought 5 burgers and 5 soft drinks for $25.25. How much does one burger cost? $1.58 per burger $2.97 per burger $3.47 per burger $2.08 per burger

A landscaping company placed two orders with a local nursery. The first order was for 13 bushes and 4 trees and totaled $487. The second order was for 6 bushes and 2 trees and totaled $232. What was the cost of each bush and each tree? Bushes $31, Trees $64 Bushes $47, Trees $23 Bushes $23, Trees $47 Bushes $23, Trees $52

Use the following information to answer the questions. The 6th term in the arithmetic sequence is 35 and the 9th term of the arithmetic sequence is 50. What is the common difference? What is a, ? What is the explicit formula? Write in the form 10+4(n-1) where 10 is 1st term, 4 is the common difference

The area of a rectangle is equal to x² +10x+16 square units. If the length of the rectangle is equal to x+8 units, what expression represents its width? DIVIDE x-2 x+2 x + 4.00 x+8

A construction crew is lengthening a road. Let y represent the total length of the road (in miles). Let x represent the number of days the crew has worked. Suppose that x and y are related by the equation 3x+52 = y. Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change per day in the road's length? What was the road's length when the crew started working?

We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ = 1.3. We would like to be 90% confident that the esimate is within 0.5 of the true population mean. How large of a sample size is required?

Drag and drop an answer choice into each empty box below. -11 4 -4 11 Consider the points R(6,5) and U(-5,–6). RU undergoes the translation (x, y) → (x + h, y + k), such that R'(-5, 1) and U'(-16, -10). Complete the following algebraic description. Drag the corresponding values. (x, y) → (x+

Describing the Effect of the y-Intercept When comparing functions, such as Seth's scenarios for travelling to school, will the function with the greatest initial value continue to be the greatest as time increases? Explain why.

Estimate the population mean by finding a 99% confidence interval given a sample of size 11, with a mean of 41.7 and a standard deviation of 11.2. Preliminary: a. Is it safe to assume that n < 0.05 of all subjects in the population? b. Is n > 30? Confidence Interval: What is the 99% confidence interval to estimate the population mean? Enter the tri-linear inequality values accurate to one decimal place.

There are 10 balls in a bag: 5 red, 2 blue, 2 green, and 1 yellow. Answer each question by reporting probability as a simplified fraction, a decimal, or a percent. Part A: If you draw one ball from the bag, what is the probability of drawing a red ball? Part B: If you flip a coin and draw a ball from the bag, what is the probability of "tails" and "green"? Part C: If you draw a yellow ball first and do not replace it, what is the probability of drawing blue on the second ball? Part D: What is the probability that you will draw yellow first and blue second?

Answer the following. (a) The signal from a certain satellite takes approximately 0.013 seconds to reach Earth. Write this number in scientific notation. (b) The total surface area of South America is approximately 6.89 x 106 square miles. Write this number in standard notation.

Two cities are 2000 km apart and lie on the same north-south line. The latitude of the northernmost city is 53° N. What is the latitude of the other city? The radius of the Earth is approximately 6400 km. The latitude of the other city is approximately N. (Do not round until the final answer.

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $4600 and his stock in Company B was worth $1000. The stock in Company A has increased 25% since last year and the stock in Company B has increased 22%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Solve ΔABC with A = 69°, b = 34, and c = 46 a = 46.38, B = 43.19°, C = 67.81° a = 46.38, B = 41.74°, C = 69.26° a = 45.15, B = 43.19°, C = 67.81° a = 46.38, B = 41.74°, C = 69.26°

A store is having a sale on trail mix and jelly beans. For 8 pounds of trail mix and 3 pounds of jelly beans, the total cost is $23. For 2 pounds of trail mix and 5 pounds of jelly beans, the total cost is $10. Find the cost for each pound of trail mix and each pound of jelly beans.

Find the area between the curve y = x e x 2 and the x-axis from x = 3 to x = 5. (Leave the answer in its exact form.)

A center-pivot irrigation system provides water to a sector-shaped field as shown in the figure. Find the area of the field if θ=145° and r= 36 yd. The area of lawn that receives the water is square yards. (Round to the nearest integer as needed.)

Ben walks at a rate of 3 miles per hour. He runs at a rate of 5 miles per hour. In one week, the combined distance that he walks and runs is 170 miles. If Ben walks for 10 hours, how many hours does he run?

Write the slope-intercept form of the equation of each line given the slope and y-intercept. Slope: -1/3 y intercept: -3

Fill in each blank with the appropriate response. (Remember that the vertical stretch or shrink factor is positive.) The graph of y=- 1/5 [x-8]-7 can be obtained from the graph of y = [x] by shifting horizontally units to the vertically shrinking by applying a factor of reflecting across the -axis, and shifting vertically units in the direction. (Type whole numbers.)

Last year, a baseball team purchased new equipment. The equipment manager paid $20 per bat and $12 per glove, spending a total of $552. The manager bought 34 pieces of equipment. Write a system of equations that can represent this situation.

A person's blood type is denoted with the letters A, B, and O, and the symbols + and -. The blood type A+ is read as A positive. The blood type B- is read as B negative. Use the data to write a ratio for the comparison in 3 different ways. AB- donors to AB+ donors

At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.

Graph the data. Then find the slope of the line. Explain what the slope represents. At 6 A.M., the retention pond had 28 inches of water in it. The water receded so that at10 A.M. there were 16 inches of water left.

A factory is discharging pollution into a lake at the rate of r(t) tons per year given below, where t is the number of years that the factory has been in operation. Find the total amount of pollution discharged during the first 9 years of operation. (Round your answer to two decimal places.) r(t) = t/ t2 + 1

Find (fog)(1), (g o f)(1), (f o g)(x) and (gof)(x). f(x) = x² + 1; g(x) = 3x - 4 (fog)(1) =

Use the unit circle, along with the definitions of the circular functions, to find the exact values for the given functions when s= -2π. sin (-2π), cos (-2π), tan (-2π)

As shown in the illustration, Alexa had a negative balance in her checking account before depositing a $47.00 check. What is the new balance of Alexa's checking account? What property did you use to find the sum?

She receives 70 rewards points just for signing up. She earns 3.5 points for each visit to the movie theater. She needs 105 points for a free movie ticket. Write and solve an equation which can be used to determine v, the number Aria must make to earn a free movie ticket.

Find the domain of the function f(x) = In (x-3) + log (x - 5). (Give your answer as an interval in the form (*, *). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(".")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)