Math Questions

Multiply. x²-25/x². x²- 5x/ x +4x-45

Which of these groups of relative frequencies would be best represented by a pie chart? A. 20%; 19%; 21%; 20%; 20% B. 25%; 24%; 26%; 25% C. 16% ; 18%; 17%; 16% ; 17%; 16% D. 6%; 14%; 80%

Which of the numbers listed below are solutions to the equation? Check all that apply. x²=-25 A. -5 B. 5 C. 625 D. 12.5 E. 50 F. none of these

The minute hand on a watch is 8 mm long and the hour hand is 4 mm long How fast is the distance between the tips of the hands changing at one o'clock? Round your answer to the nearest tent

For the given data set, find the a. mean b. median c. mode (or state that there is no mode) d. midrange. Ages of teachers in the mathematics department of a certain high school: 25, 53, 36, 59, 25, 53, 25, 47, 47, 43 a. 41.3 b. 45 c. 47 d. 42 a. 31 b. 45 c. 25 d. 42 a. 41.3 b. 45 c. 25 d. 42 a. 26.3 b. 45 C. 25 d. 42

Which polynomial represents the sum below? (x^8+2x+1)+ (2x^4 + x² + 1) A. x^8 + 4x^4 + x² + 2 B. x^16 +16x^8 + x² + 2 C. 2x^8 + 8x^4 + 2x² +2 D. 16x^8 + x² + 2

Open-Ended Write an equation to represent the following description. Use pencil and paper. Describe a real-world situation the equation could represent. Eighteen less than four times a number is - 13. Choose the correct answer below. A. 18x-4 = -13 B. 4x 18 = -13 C. 18x + 4 = −13 D. 4x+18 = -13 E. 4(x-18) = 13

A water trough is 10 m long and a cross-section has the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm If the trough is being filled with water at a rate of 2 m³/min, how fast is the water level rising when the water is 30 cm deep?

A child launches a toy rocket in the air, and the function f(x) = -10x² +90x+ 20 represents the flight of the rocket, where x is the time in seconds and f(x) is the height (in feet) at x seconds. a. For how many seconds is the rocket higher than 100 feet above the ground? b. Explain how you found your answer.

Find the annual percentage yield (APY). A bank offers an APR of 3.1% compounded daily. 6.20% 3.15% 103.15% 3.22%

If ƒ(x) = (3x − 4)² (6x² + 6)³ then: ƒ'(x) = [Suggestion: use logarithmic differentiation.]

Select all of the sequences of transformations on the isosceles trapezoid below that would result in a congruent figure. A horizontal reflection, followed by a 3 unit translation down. A 5 unit translation to the left, followed by dilation by a scale factor of 1/2. A vertical reflection, followed by a rotation of 90 degrees clockwise. A vertical reflection, followed by a rotation 270 degrees counterclockwise. A rotation 180 degrees clockwise, followed by dilation by a scale factor of 3.

Given the maximum and minimum of a cosine function are 4 and -2 What's the midline?

Consider the angle θ=-5π/6 a. To which quadrant does belong? (Write your answer as a numerical value.) b. Find the reference angle for in radians c. Find the point where intersects the unit circle.

If the value of "y" varies directly with "x" and y=-51 when x = 3, find "y" if x = 2. Enter the number that belongs in the green box. y = [?]

Find the sum of the polynomials below: (8x9 + 6x6 - 2x+6) + (9x⁹ + 4x6 + 9x+7) A. 17x9 + 10x6-7x+13 B. 10x⁹ + 17x6 + 7x+ 13 C. 72x9 +24x6-18x² + 13 D. 17x + 10x + 7x+13

Use an appropriate local linear approximation to estimate the value of the given quantity. (2.04)3

Find the sum: (x³ + 3x²+x+1)+ (2x³ - 2x² - 2x+2). A. x³ +5x²+3x+2 B. -x³ +5x²-x+3 C. 3x³ + x²-x+3 D. 3x³ + 5x²-x+3

The number of teams y remaining in a single elimination tournament can be found using the exponential function y=128(1/2)^x played in the tournament. Complete parts a through d below. a. Determine whether the function represents exponential growth or decay. Explain. .

The probability that a building's front door lock will jam on a random day is 5%, and the probability that the front door lock will jam and the locksmith will be out sick on a random day is 0.4%. Assuming these two events are independent, find the probability that the locksmith will be out sick on a random day. (A) 2% (B) 4.6% (C) 8% (D) 12.5%

What number must you add to the polynomial below to complete the square? x²-26x

Write a function g(x) that represents the exponential function f(x) = 2x after a vertical stretch by a factor of 2 and a reflection across the x-axis. Graph both functions. Find the equation for g(x).

For what value of k will the function y = 3x²+4r-7/x²-5x+k have asymptotes at x = 6, x= -1, and y = 3? (A) k=6 (B) k=-6 (C) No such value of k exists because regardless of the horizontal asymptote is y = 0 (D) No such value of k exists because there will be a hole, not a vertical asymptote, at x= -1

Find the discriminant of the following equation. x²+2x+7=0

6/x= 2x+4/5 Multiply each side by the common denominator to find the quadratic equation equivalent to this equation. A. x² + 4x-15 = 0 B. 2x² + 4x-30 = 0 C. x² + 4x-30 = 0 D. 2x² + 4x + 15 = 0

Enter the degree of the polynomial below: 2x^4 + x^9 + 5x^6 + 5x^5-7x³

5/6. From the outside the weightroom, Drake sees Cade walking at the track. If the height of the track stairs is 30 feet from the bottom to the top, and Drake is 35 feet from the bottom of the stairs, what is the angle of elevation fom Drake to the track? Round to the nearest 10th. Picture Equation: Answer:

Suppose Solid A and Solid B are similar. Solid A has an edge length of 18 cm, and the corresponding edge in Solid B is 12 cm. If the volume of Solid A is 229.5 cm³, what is the volume of Solid B in cubic centimeters?

What is the probability of randomly selecting 1 woman with a height less than 65.3 inches? (Round to four decimal places as needed.) What is the probability of selecting a sample of 18 women with a mean height less than 65.3 inches? (Round to four decimal places as needed.) Are you more likely to randomly select 1 woman with a height less than 65.3 inches or are you more likely to select a sample of 18 women with a mean height less than 65.3 inches? Choose the correct answer below. A. It is more likely to select 1 woman with a height less than 65.3 inches because the probability is lower. B. It is more likely to select a sample of 18 women with a mean height less than 65.3 inches because the sample of 18 has a lower probability. C. It is more likely to select 1 woman with a height less than 65.3 inches because the probability is higher. D. It is more likely to select a sample of 18 women with a mean height less than 65.3 inches because the sample of 18 has a higher probability.

If you apply the transformations below to the quadratic parent function, F(x) = x², what is the equation of the new function? Shift six units right. Shift four units down. A. G(x) = (x-6)²-4 B. G(x) = (x-4)² +6 C. G(x) = (x-4)²-6 D. G(x) = (x+6)² - 4

What number must you add to complete the square? x^2+8x=50

An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. If two consecutive marbles are drawn without replacement what is the probability that the first one will be green and the second one will be red? a)0.16 b) 0.10 c) 0.51 d) 0.11

Consider the function f(x) = 4 - 4x², -5 ≤ x ≤ 2. The absolute maximum value is and this occurs at x = The absolute minimum value is and this occurs at x =

What number would you add to the equation below to complete the square? x^2+3x=0 A. 3/2 B. 9/4 C. 9 D. 6

Question Help ▼ In a survey of 1000 drivers from Region A, 864 wear a seat belt. In a survey of 1000 drivers from Region B, 915 wear a seat belt. At a=0.05, is there evidence to support the claim that the proportion of drivers who wear seat belts in Region A is less than the proportion of drivers who wear seat belts in Region B? Assume that the samples are random and independent. Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha- Identify the claim. Let population 1 be drivers from Region A and let population 2 be drivers from Region B. Choose the correct answer below. A. The claim is that the proportions of drivers who wear seat belts in both regions add up to 1. B. The claim is that the proportions of drivers who wear seat belts in both regions are equal. C. The claim is that the proportion of drivers who wear seat belts in Region A is less than the proportion of drivers who wear seat belts in Region B. D. The claim is that the proportion of drivers who wear seat belts in Region A is greater than the proportion of drivers who wear seat belts in Region B.

A silver bar with a specific heat of 0.235 J/g°C has a mass of 250. g and is heated from 22.0°C to 68.5°C. How much heat will the silver bar absorb? a) 4020 J b) 5320 J c) 49,500 J d) 2730 J

The volume of a cone is 800 cubic feet. If the radius of the base is doubled and the height remains the same, what will be the volume of the new cone? . 6,400 ft³ 1,200 ft 1,600 ft³ 3,200 ft³

Question Help Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance a using the given sample statistics. Claim: p=0.22; x = 0.01; Sample statistics: p=0.18, n = 150 Can the normal sampling distribution be used? A. Yes, because pq is greater than α=0.01. B. Yes, because both np and nq are greater than or equal to 5. C. No, because np is less than 5. D. No, because ng is less than 5.

Choose the best definition of SAS Similarity. When two triangles have corresponding angles that are congruent and the included corresponding sides with identical ratios. None of the other answers are correct Sides that are in the same position in different plane figures. When two triangles have corresponding angles that are congruent, the triangles are similar. the result of a transformation.

Solve the following system of equations. 2x² + 4y² =68 3x² - 5y² = 3

A directed line segment begins at F(-10, -4), ends at H(8, 4), and is divided in the ratio 6 to 2 by G. What are the coordinates of G? (3.3, 5) None of the other answers are correct (-1.6, 5) (3.5, 2) (2.5, 2)

Find the difference and enter it in the box below. Enter exponents using the caret (^). For example, write 4x² as 4x^2. (2x + 4x4-2x+3) - (4x4-2x³+3)

After being rearranged and simplified, which of the following equations could be solved using the quadratic formula? Check all that apply. A. 2x²-6x-7 = 2x² B. 5x³-3x+10= 2x² C. 2x²-3x+ 10 = 2x+ 21 D. 5x²+2x-4 = 2x²

A grocery store wants to paint 6 concrete spheres that are in their parking lot in front of the store. If the diameter of each sphere is 3.5 feet, which value is closest to the total surface area that will be painted in square inches? Show your work. A. 22,170 in.² B. 5,540 in.2 C. 33,250 in.2 D.17,600 in.2

The ________ is the name of the number under the radical symbol in the quadratic formula.

What number must you add to complete the square? x^2 +12x=9

At a time t seconds after it is thrown up in the air, a tomato is at a height (in meters) of f(t) = -4.9t² + 65t +1 m. A. What is the average velocity of the tomato during the first 5 seconds? (Include units.) B. Find (exactly) the instantaneous velocity of the tomato at t = 5. (Include units.) C. What is the acceleration at t = 5? (Include units.) D. How high does the tomato go? (Include units.) E. How long is the tomato in the air? (Include units.)

Determine if the scenario Involves mutually exclusive events. Then find the probability. A box of chocolates contains three milk chocolates, four dark chocolates, and three white chocolates. You randomly select a chocolate. What is the probabil Is a milk chocolate or a dark chocolate?

Identify the variable expression that is not a polynomial. A. x+12 B. x^-9 + y^3 C. 33 D. y^9+ 27

A directed line segment begins at F(-10, -2), ends at H(4, 4), and is divided in the ratio 4 to 2 by G. What are the coordinates of G? (-0.87, 2) (-1.6, 2) (3.3, 5) None of the other answers are correct (-0.67, 2)