Math Questions

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

Rectangle HIJK is dilated to produce rectangle H'T'J'K'. If the perimeter of HIJK is a and the perimeter of H'I'J'K' is b, what is the scale factor of the dilation?

In a circle with radius 10, an angle intercepts an arc of length 5π/3. Find the angle in radians in simplest form.

A road map has a scale where 16 miles of actual distance is represented by 1 inch on the map. Two cities are 9.5 inches apart on the map. How far is the actual distance between the two city centers? 104 miles 136 miles 120 miles 152 miles

Use the FOIL method to find the terms of the following multiplication problem. (4+6i)-(4-6i)

For the function g(x)=1/2x-4, find g(2) + g(a). g(2)+g(a) = (Use integers or fractions for any numbers in the expression.)

A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of sources. For each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt. He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.

Rodney's Repair Service has a lug nut tightening machine that works well 86% of the time. They got a new machine that works well 96% of the time. Each machine is used 50% of the time. Use Bayes' Theorem to find the probability. If necessary, round your calculations to the nearest thousandths, and write your answer as a percent. The new machine malfunctioned. The new machine will malfunction % of the time.

A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?

According to statistics, a person will devote 36 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 20. Over the lifetime, how many years will the person spend on each of these activities? years watching TV and years sleeping. The person will spend (Type whole numbers.)

A cylinder has a base diameter of 20in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?

A license plate is to consist of 3 letters followed by 2 digits. Determine the number of different license plates possible if the first letter must be an A, E, I, O, U or Y and repetition of letters and numbers is not permitted. 405,600 324,000 342,000 205,200

Which equation has the same solution as x² + 18x - 20 = -2? (x-9)² = 99 (x + 9)² = -63 ○ (x + 9)² = 99 (x - 9)² = -63

In some country the budget for defense exceeded the budget for education by $621.9 billion. If x represents the budget for education, in billions of dollars, how can the budget for defense be represented? If x represents the budget for education, in billions of dollars, the budget for defense can be represented by. (Use integers or decimals for any numbers in the expression.)

Suppose the average yearly salary of an individual whose final degree is a master's is $35 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees. The average yearly salary for an individual whose final degree is a bachelor's is $ thousand and the average yearly salary for an individual whose final degree is a master's is $thousand.

A beach ball is a sphere with a diameter of 10 inches. What is the volume, in cubic inches, of the beach ball? Enter your answer in the space provided. Round your answer to the nearest whole cubic inch.

Anna wants to rent movies from either Service A or Service B. Service A charges $37.92 as a subscription fee with a charge of $2.18 per movie. Service B charges $33.25 as a subscription fee plus $3.55 per movie. Service B is running a special offer where the first movie is free. Given that Anna always rents at least 1 movie in a given subscription period, how many movies would she have to rent for the average cost per movie to be equal at Service A or Service B? A. 6 B. 0 C. 1 D. 7

The Pyramid Arena in Memphis, Tennessee, is a square pyramid with base edge lengths of 200 yd and a height of 32 stories. Estimate the area of the glass on the sides of the pyramid by rounding the slant height of the building to the nearest 10 feet. (Hint: 1 story = 10 ft) The area of the glass on the sides of the pyramid is approximately.

Kelly is learning about rational and irrational numbers. What conclusion can she draw about the number. 0.01011011101111011111...? It is irrational because it repeats It is rational because it repeats It is rational because it terminates It is irrational because it neither repeats nor terminates.

Find the slope of the line that goes through the given points. (-10, 1) and (-8, -1) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is B. The slope is undefined.

Right now, Mrs. Sarro's age is 2 years more than 5 times her daughter's age. Two years ago, she was seven times as old as her daughter was then. If s represents Mrs. Sarro's age now and drepresents her daughter's age now, write a system of equations that could be used to model this scenario. Use this system of equations to determine, algebraically, the ages of both Mrs. Sarro and her daughter now. Determine how many years from now Mrs. Sarro will be three times as old as her daughter will be then.

Suppose that the mean cost of a haircut for a man is $28 and the mean cost of a haircut for a woman is $44. Which statement is true about the cost of haircuts? On average, the cost of a man's haircut is $16 less than the cost of a woman's haircut Hal of all men pay less than $28 for a haircut Half of all women pay more than $44 for a haircut All men's haircuts cost less than women's haircuts All women's haircuts cost $16 more than men's haircuts

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?