Math Questions

Which could describe two quadrilaterals that have all pairs of corresponding angles congruent but are not similar? Two rectangles, both having a perimeter of 3.5 feet A square with a perimeter of 14 feet and a square with a perimeter of 54 centimeters Two rhombi, each having at least one 90° angle A parallelogram with adjacent sides 9 and 12 centimeters and an angle of 88, and a parallelogram with adjacent sides 9 and 12 inches and an angle of 92°

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school collected during the two days. 12x + 4y = 152 32x+12y = 420 In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch. Which is the cost of the vegetarian lunch? $9 $11 $13 $21

Based on f(x) = lxl, describe the transformations of the function g(x) = -|x +4| +3 a. g(x) is f(x) translated 4 units to the left and 3 up units b. g(x) is f(x) reflected across the x-axis translated 4 units to the left and 3 up units c. g(x) is f(x) reflected across the x-axis translated 3 units to the left and 4 up units d. g(x) is f(x) reflected across the y-axis translated 4 units to the right and 3 up units

A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 185 pounds with a margin of error of 6 pounds. Write a confidence interval for the true mean weight of the residents of the town.

Julia can make a key chain in 2 minute(s) 54 seconds. At this rate, which is closest to the amount of time she will need to make 9 key chains? Choose the correct answer below. A. 2 minutes B. 18 minutes C. 27 minutes D. 3 minutes

Determine the simple interest. (The rate is an annual rate unless otherwise stated. Assume 360 days in one year.) p=$775, r= 6.5%, t = 90 days The simple interest is $ (Round to the nearest cent as needed.)

A helicopter is hovering 2500ft above the ground. The pilot looks down at a 43-degree angle with respect to the horizon to see a pedestrian. If the helicopter lands by descending directly down, how far away from the pedestrian will the helicopter have landed?

The equation y = 8x + 12, where x is the number of hours and y is the total cost, represents what the surf instructor charges for lessons. Use this information to describe how to draw the line on a graph.

Mary forgot the security code to her home. She knows there is a 0, 2, and 8 in some order. a.) List all the possible three-digit security codes. b.) What percent of the security codes start with the number 2 or 8?

The height in feet of a ball thrown in the air from a ledge 112 feet high is represented by the function f(x) = -16x²+96x +112, where x is the number of seconds since the ball has been thrown. How many seconds does it take the ball to reach the ground? 256 7 3 112

Write an algebraic equation and use it to solve the problem. Five-sevenths of a number is -20. What is the number? The equation is.

If a linear combination is the method used to solve the system of equations, what is the result of the first step? x + y = 6 x - y = 2 A. 2y = 8 B. 2x = 8 C. x + y = 8 D. x - y = 8

Fern bought groceries that cost $14.38. She paid the store clerk, Ping, with a $20 bill. 2 pennies makes the total $14.40. 6 dimes makes it $15.00, and 6 dollars makes it $20. Did the clerk make a mistake in giving Fern her change? You may use the scratchpad to show your work. A No, she received $6.62 in change. B Yes, Ping should give Fern 6 pennies and 2 dimes. C Yes, Ping should give Fern 3 dimes and 8 pennies. D Yes, Ping should give five one-dollar bills, not six.

Four golfers will be randomly split into 2 groups of 2 for a tournament. If Jill and Ramona are among the 4, what is the probability that they will be paired together? F. 1/12 G.1/8 H. 1/6 J. 1/4 K. 1/3

A shirt priced at x dollars is discounted before tax is added. The final price in dollars is described by the expression below. 1.05(x -0.6x) What is the sales tax for the shirt? 0.05(0.4x) 1.05 (0.6x) 1.05 (0.4x) 0.05(0.6x)

Given y = 4x + 21-3 if a is multiplied by 3 what happens to the vertex? a. The vertex remains the same. b. The vertex shift to the right 3 units. c. The vertex shifts to the left 3 units. d. The vertex shifts down 3 units.

Tyler stands at the top of a 40 meter tall vertical cliff. Down below, Susie stands some distance away from the base of the cliff. Tyler's angle of depression to Susie is 34°. How far is Susie from the base of the cliff? Round answer to the nearest tenth. You must draw the picture to represent the situation. (3 pts)

A tennis club offers two payment options. Members can pay a monthly fee of $9 plus $6 per hour for court rental time. The second option has no monthly fee, but court time costs $7.50 per hour. Answer parts a through d. a. Write a linear function that models the total monthly costs for each option for x hours of court rental time. The linear function that models total monthly cost for the first payment option is f(x) = (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression.)

A banana peel weighs 1/6 of the total weight of a banana. If an unpeeled banana balances a peeled banana of the same weight, plus 5/6 of an ounce, how much does the banana weigh with the peel? The weight of the banana with the peel is oz.

The graph of: y = 11x³ + 22x² + 14x / (5x² + 1)(11x + 7) has one vertical asympote and one horizontal asymptote. An equation for the vertical asymptote is: An equation for the hoizontal asymptote is:

The price of a dress is reduced by 60%. When the dress still does not sell, it is reduced by 60% of the reduced price. If the price of the dress after both reductions is $80, what was the original price? The original price of the dress was $ (Type an integer or a decimal.)

Carter found the discriminant of this quadratic function. F(x)=6x²-5x +3 According to the discriminant, which best describes the roots of F(x)? One real root Two real roots Two complex roots One complex root

agrees to pay a student 6¢ for every problem in this chapter that the student solves correctly, and fines the student 5¢ for every problem done incorrectly. If at the end of 33 problems they do not owe each other any money, how many problems did the student solve correctly? problems correctly.

A parabola can be drawn given a focus of (1, 2) and a directrix of x = -11. What can be said about the parabola? The parabola has a vertex at

9/7x+35=9/x+5-6/7 aWhat is/are the value or values of the variable that make(s) the denominators zero? x= (Simplify your answer. Use a comma to separate answers as needed.) b. 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 {x) x is a real number}. C. The solution set is Ø.

In a circle with radius 8.8, an angle intercepts an arc of length 32.9. Find the angle in radians to the nearest 10th.

- The coordinates of quadrilateral JKLM plotted on a coordinate plane are J(-2,3), K(3, 7), L(6,5) and M(1, 1). Enter a number in the box to complete the sentence. The perimeter of the quadrilateral is || the nearest tenth. units. Round your answer to

Convert the following angle from degrees to radians. Express your answer in simplest form. 405°

Elijah is building a deck. He has enough wood to build a 35 ft2 deck. Elijah wants the deck to be 2 ft longer than it is wide. He sets up the following equations to help him determine the dimensions of the deck. x(x+2) = 35 x²+2x-35 = 0 where x is the width of the deck in feet. How wide should Elijah make his deck? To solve for x, first factor the left side of the equation. Note: The width of the deck must be positive. Ignore negative values for x. x = 7 feet x = 3 feet x = 5 feet x = 6 feet

Estimate the sum. Choose the mixed number that is closest to the estimate. 5.5 +4.2

In a circle with radius 0.8, an angle measuring 6.3 radians intercepts an arc. Find the length of the arc to the nearest 10th.

Put the quadratic into vertex form and state the coordinates of the vertex. y = x² − 6x + 8 Vertex Form: y = Vertex:

Find the circumference of a circle with radius= 30 mm. A. about 47.12 mm B. about 282.74 mm C. about 188.4 mm D. about 109.67 mm

Which equation has the same solution as x² + 16x - 11 = 4? (x-8)²=-49 (x+8)² = 79 (x+8)² = -49 (x-8)² = 79

Which of the following can be used to check that (x-4) and (x+7) are factors of the polynomial below? x² + 3x-28 x(x+7)-4 x.x+7x-4x -4.7 x+(x+7) 4+ (x+7) x.x-4-7

The governor of state A earns $52,765 more than the governor of state B. If the total of their salaries is $297,595, find the salaries of each. The governor of state A earns $ and the governor of state B earns $

Find the slope of a line parallel to the line that passes through the points (4,8) and (22,4). The slope of the parallel line is (Type an integer or a simplified fraction.)

In a circle with radius 9, an angle intercepts an arc of length 9π/2. Find the angle in radians in simplest form.

In 2016, there were approximately 4. 46 x 10⁹ people in Asia. On average, a person takes 8.4 x 106 breaths per year. Using this data, what was the number of breaths of all the people in Asia in 2016? Expressing your answer i scientific notation in the form a x 10, what are the values of a and b? What is the value of a? What is the value of b?

Find the critical value(s) for a left-tailed z-test with α = 0.08. Include a graph with your answer. The critical value(s) is(are) (Round to two decimal places as needed. Use a comma to separate answers as needed.)

A new car is purchased for 23700 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 10 years?

The product of twice a number and four is the same as the difference of seven times the number and 5/3 Find the number.

A triangle in quadrant IV has been rotated 90° counterclockwise around the origin. What do you know about the image and the pre- Image? They are congruent and their corresponding sides and angles are equal. Their corresponding sides and angles are equal but they are not congruent. They are not congruent and their corresponding parts are not congruent. They are congruent but their corresponding sides and angles are not equal.

An electronics store advertises that one lucky customer will be given a television at the store's 10th anniversary celebration. On the day of the celebration, 150 customers, of which 82 are less than 30 years old and 68 are 30 years old or more, complete a form to enter for the chance to win the television. The manager of the store wants to select the winner by drawing a form out of a box, but the box can only hold 100 forms. Which method ensures both that the manager can use the box for the selection and that each customer has a fair chance of winning? A Divide the forms into two lots based on age. Then, randomly select one of the lots and place it in the box. Randomly select the winning customer's form out of the box. B. Randomly divide the 150 forms into five equal-sized groups. Then randomly select 4 of the groups and place them in the box. Randomly select the winning customer's form out of the box. C. Sort the forms alphabetically by last name. Then, place the first 100 forms into the box. Randomly select the winning customer's form out of the box. D. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box. Randomly select the winning customer's form out of the box.

For the given principal, interest rate, and time period, determine the amount of interest that would be earned in an account paying simple interest. Also determine the amount of interest that would be earned in an account paying compound interest with interest compounded monthly. Determine how much more interest would be earned in the account paying compound interest. Round to the nearest cent. Principal: $6720 Rate: 4.25% Years: 9 1/2

Which of the following events are most likely independent of each other Your homework average in Geometry and your grade on this test Your grade on this test and your grade on another teacher's test The number of hours of sleep you had last night and your grade on this test Your grade on this test and the number of hours you spent studying for it

There are fourteen songs on your playlist. With random shuffle and no repetition, you listen to two songs. What is the probability that you listened to your favorite song first and your least favorite song second?

A lumber mill is preparing pieces of wood that meet these requirements. A finished piece of wood is shaped like a rectangular prism. The width of each piece of wood will vary (w). • The height of each piece of wood must be twice the width (2w). . The length of each piece of wood must be 10 inches more than 30 times the width (30w + 10). Which expression represents the volume in terms of the width, in cubic inches, of each piece of finished wood? Use V= /hw

Mildred sold magazine subscriptions with three prices: $27, $13, and $18. She sold 8 fewer of the $27 subscriptions than of the $13 subscriptions and sold a total of 32 subscriptions. If her total sales amounted to $556, how many $18 subscriptions did Mildred sell?

Determine the direction of opening or openings for the hyperbola (x-3)²/9 - (y+4)²/4 = 1 a. Left b. Up c. Left and right d. Up and down