Math Questions

A particular adjustable rate mortgage (ARM) will maintain its initial interest rate for eight years, and each year afterward it will be adjusted. Which of these symbolically expresses that loan arrangement? 1/8 8/1 1/1 8/8

Solve and check the following linear equation. 21-13+9y-3(y+3)]=-2(2y-7)-[(y-1)-2y+11] What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is (x1x is a real number). C. The solution set is Ø.

Kevin cycles 18 miles every morning as part of his exercise. The time it takes him to complete the distance varies inversely as the speed at which he rides. Which equation best models the amount of time it takes him to finish with his cycling, t, if he rides at a speed of m miles per hour? A. t = 18 + m B. t=m/18 C. t = 18m D. t = 18/m

The angle of elevation from a boat to a hovering helicopter is 32.2° and the helicopter is 600 feet above the water level. What is the horizontal distance, to the nearest foot, between the boat and the helicopter?

Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities.

Find the mean, median, and mode of the data. 7, 7, 8, 9, 5, 2, 9, 10, 7, 6 A 7,7, none B. 7,7.5, none C. 7.7,7.5,9 D. 7,7,7

Based on the data set below, what is the frequency of numbers ranging from 90-95? 100, 102, 111, 106, 108, 99, 91, 122, 95, 94, 145, 150, 130, 110, 121, 141, 137, 136, 103, 144

A new car worth $21,000 is depreciating in value by $3000 per year. Complete parts (a) through (6). a. Write a formula that models the car's value, y, in dollars, after x years, b. Use the formula from part (a) to determine after how many years the car's value will be 39,000. 6. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then, show your solution to part (b) on the graph. a. A formula that models the car's value, y, in dollars, after years is (Type an equation.)

Write the equation of the line with the given slope and the given y-intercept. Leave the answer in slope-intercept form. Slope 4/3, y-intercept (0, -3) What is the equation of the line?

Your younger brother has challenged you to a swimming race to see who can swim to the opposite side of the pool first. You know that your brother swims more slowly than you, so to make things more even you choose to swim along a path at a 40 degree angle from the path that would go directly across the pool. The pool is 60 feet wide. Draw a diagram and label all values mentioned to illustrate the problem.

Victoria read a 160-page historical fiction novel followed by a science fiction novel of the exact same length. Her average reading speed of the science fiction novel was 2 pages per hour more than her average reading speed of the historical fiction novel. Victoria models her novel reading marathon with the following expression, where x represents her average reading speed of the historical fiction novel. What does x + 2 represent in this situation? A. the average reading speed of the science fiction novel B. the number of pages of the science fiction novel C. the average reading speed of the historical fiction novel D. the total time taken to read the novels

Find the equation of the line passing through the given pair of points. Write the equation in slope-intercept form. (-4,-5), (3,4) What is the slope-intercept form of the equation that passes through (-4,-5) and (3,4)? (Simplify your answer. Type your answer in slope-intercept form.)

A researcher randomly selects and measures the volumes of the contents of 13 bottles of cough syrup. Assume the sample is taken from a normally distributed population. The 99% confidence interval for the population standard deviation o is (0.0299,0.0405). The population standard deviation of the volumes of the bottles' contents should be less than 0.051 fluid ounce. Does the confidence interval for a suggest that the variation in the volumes of the bottles' contents is at an acceptable level? Explain your reasoning. Choose the correct answer below. A. Yes, because 0.051 is contained in the confidence interval. B. Yes, because all values contained in the confidence interval are less than 0.051. C. Yes, because all values contained in the confidence interval are greater than. D. No, because 0.051 is contained in the confidence interval. E. No, because all values contained in the confidence interval are less than 0.051. F. No, because all values contained in the confidence interval are greater than 0.051.

Find the x-intercept and the y-intercept. Then graph the equation. 5x+6y= -15 Find the x-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

The scores of eighth-grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5. From this data, we can conclude that 68% of the students received scores between and

Write an equation of the line with the given slope and the given y-intercept. Express the answer in standard form. Slope 2/9, y-intercept(0/1/3) Choose the correct equation below. A. 9x+2y=3 B. 9x-2y=3 C. 2x+9y=-3 D. 2x-9y=-3

A rectangular prism has a length of 18 meters, a height of 3 meters, and a width of 4 meters. What is its volume, in cubic meters? Answer: V =meters³ Submit Answer

Adriana is taking out a loan to buy a car. The APR is 6.5% for a three year loan. The car salesman offered a cash-back incentive of $5500 off an original price of $33,000. What is the monthly amount that Anthony will have to pay? $764.65 $1011.42 $842.85 $917.59

Biologist have found that the number of chirps some crickets make per minute is related to the temperture. The rekationship is very close to being linear, At 68 gegrees the cricket chirps 124 times, and at 80 degrees the cricket chirps 172.

In a circle, an angle measuring 4.9 radians intercepts an arc of length 3.4. Find the radius of the circle to the nearest 10th.

State if the sequence is arithmetic, geometric, or neither. 1, 5, 35, 175, 875... a. Arithmetic b. Geometric C. Neither d. Doge to the moon a b c d

In a circle with radius 8.9, an angle intercepts an arc of length 15.9. Find the angle in radians to the nearest 10th.

Select the correct answer from each drop-down menu. Jane bought a new rectangular placemat with an area of 126 square inches. The length of the placemat is four times the quantity of nine less than half its width. Complete the equation that models the area of the placemat, in terms of the width of the placemat, w. The width of the placemat is

In a circle with radius 4.4, an angle intercepts an arc of length 21.2. Find the angle in radians to the nearest 10th.

Find the missing terms of the arithmetic sequence: 14, 18,....30 a. 23, 29 b. 22, 34 c. 4,8 d. 22, 26

There are 170 adults and 225 children at a zoo. The zoo makes a total of $4,740 from the entrance fees, and the cost of an adult and a child to attend is $24, how much does it cost each for a parent and a child? Let a represent an adult. Let c represent a child. Enter a system of equations to represent the situation, then solve the system.

Which equation has the same solution as x² - 8x + 20 = -10? (x-4)² = -14 (x-4)²-46 (x+4)² = −14 (x+4)² = -46

Meaghan goes to the grocery store to buy hot dogs and hamburgers for a cookout. She buys a total of 10 packages for a total of $37.40. If a package of hot dogs, d, costs $2.29 and a package of hamburgers, b, costs $5.19, determine how many packages of each she bought. Enter a system of equations to represent the situation, then solve the system.

Write the given equation in slope-intercept form. Then identify the slope and the y-intercept for the line. 5x-4y=-20 What is the slope-intercept form of the equation 5x - 4y = -20? (Simplify your answer. Type your answer in slope-intercept form.) What is the slope of the line? m= (Simplify your answer.) What is the y-intercept of the line? (x,y)= (Simplify your answer. Type an ordered pair.)

The volume of a cylindrical soap dispenser is modeled by the expression below. π(x + 1)²(4x + 1) Select the true statement. A. The expression π (x + 1)2 represents the radius of the soap dispenser. B. The expression π (x + 1)2 represents the radius of the soap dispenser. C. The factor 4x + 1 represents the area of the base of the soap dispenser. D. The factor 4x + 1 represents the height of the soap dispenser.

A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route on each trip. Thetotal duration of a round trip from point A to point B and back is 80 minutes, ignoring the time spent stopped at point B. If d is the ferry's distance from point A in miles and t is the time in minutes, which equation models the ferry's distance from point A for the duration of the trip? d=-10.35r-40| +40 d=-10.35-80| +80 . d=-10.35r-281 +28 . d=-10.35-141 +14

Enter the correct answer in the box. The graph of function g is created by applying these transformations to the parent tangent function: reflection over the x-axis • horizontal stretch by a factor of 5 • vertical shift down 3 units Write the equation representing function g.

A cylindrical fish tank at the zoo has a capacity of 7252 cubic feet. What is the height of the tank if its radius is 16 feet? Use = 3.14 and round to the nearest foot. 8 ft 9 ft 89 ft 144 ft

Find the mean, median, and mode: 2.3, 4.3, 3.2, 2.9, 2.7, 2.3 A. 2.95, 2.8, 2.3 B. 2.95, 2.3, 2.8 C. 2.8, 2.95, 2.3 D. 3.05, 2.8, 2.3

Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. y≤ 2x 6 y≤-1/2x -1

A store sells cement mix in 20-, 40-, and 50-pound bags. Last week the store sold 25 bags of cement mix. The store sold a total of 920 pounds of mix. The number of 40-pound bags the store sold was two less than twice the number of 20-pound bags it sold. Find the number of 20-, 40-, and 50-pound bags sold last week.

You have been asked to cut two boards (exactly the same length after the cut) and place them end to end. If the combined length must be within 0.06 inches of 30 inches, then each board must be within how many inches of 15?

The exponential function f(x) = 2500(0.4) models the amount of money in Zachary's savings account over the last 10 years. Is Zachary's account balance increasing or decreasing? Write the base in terms of the rate of growth or decay.

A toy plane is thrown upward with an initial velocity of 7 meters per second from an initial height of 4 meters. About how much time does it take for the plane to hit the ground? About 0.5 seconds About 1.9 seconds About 2.38 seconds About 4 seconds

Briana's house is worth $179,000. The property tax rate in her county is 1.8%. What is the amount she should set aside each month to pay her property taxes? $805.50 $1611 $3222 $268.50

Fairview is hosting a city-wide arts festival at which vendors can pay to have a small booth or a large booth. The fee for a small booth is $27, whereas the fee for a large booth is $81. The city hopes to receive at least $1,500 in fees. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of small booths y = the number of large booths (27+ x)(81+ y) ≥ 1,500 27x 81y 2 1,500 27 + x +81 + y ≥ 1,500 27x+81y 2 1,500

For the following set of data, find the population standard deviation, to the nearest thousandth. 45, 30, 35, 20, 21, 46, 16, 37 Copy Values for Calculator Open Statistics Calculator

Kyle throws a baseball straight up from a height of 4 feet with an initial speed of 30 feet per second. If Kyle doesn't catch the ball, when will the ball hit the ground? 1 second 2 seconds 8 seconds 3.621 seconds

Which of the following expressions represents the verbal description below? the square of the sum of 7 times x and 3 divided by 4 times the difference of x and 1

The salaries of six bank employees are $37,000, $38,500, $35,000, $37,000, $45,000, $40,000, and $75,000. Which statement is true? Both the median and mode are appropriate measures of center. The mean, median, and mode are all appropriate measures of center. Both the mean and median are appropriate measures of center. The median is the only appropriate measure of center.

In a circle with radius 6.5, an angle measuring 5.5 radians intercepts an arc. Find the length of the arc to the nearest 10th.

As part of a water quality survey, you test the water hardness in several randomly selected streams. The results are shown below. Construct a confidence interval for the population variance o2 and the population standard deviation o. Use a 99% level of confidence. Assume that the population has a normal distribution. n=17 s = 12 grains per gallon What is the confidence interval for the population variance σ²? (Round to one decimal place as needed.)

Solve the proportion you found in the previous exercise. A. about 17.5 miles B. about 0.057 miles C. about 3.43 miles D. about 10.50 miles

The numbers of items that customers purchased using a self-checkout lane are shown. 8, 4, 6, 5, 4, 3, 15, 4, 4, 1, 10, 3, 4, 12, 7, 2, 4, 6, 21, 18, 4, 10, 13, 4 Which measure or measures of central tendency best reflect the data? Select EACH correct answer. mean mode median

George made the box plots to compare the number of calories between his morning snacks and his afternoon snacks. Compare the ranges of the two plots and determine the answer that best fits the data. The range of calories in George's morning snacks is about 80 more than the range of calories in his afternoon snacks. The range of calories in George's morning snacks is about 80 less than the range of calories in his afternoon snacks. The range of calories in George's morning snacks is about 150 less than the nge of calories in his afternoon snacks. The range of calories in George's morning snacks is about 150 more than the range of calories in his afternoon snacks.