What is the height, width, and depth of the shed, in feet, if the volume is 990 ft^3?

A shed in the shape of a rectangular prism measures x feet high, x + 6.5 feet wide, and is x − 4 feet deep, thevolume of the shed is given by the function v(x) = x^3 + 2.5x^2 − 26x. What is the... more

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Based on a​ poll, 70​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot. What is the probability that among four randomly selected Internet​ users,... more

Find the probability of winning the jackpot.

Winning the jackpot in a particular lottery requires that you select the correct four numbers between 1 and 63 ​and, in a separate​ drawing, you must also select the correct single number between 1... more

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A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financial officer​ (CFO). It must also appoint a planning committee with three... more

05/29/21

Exponential Equations and Change of Base Formula

Solve the following equation and round your answer to the nearest thousandth.4x - 1 = 3x

05/29/21

Find the 4th term of the following problem

(5x2-4)7

05/28/21

Geometry Geometry

Your sister claims that the heights of any traingle intersect in a point that is the center of both inscribed and circumscribed circle of that traingle. Your brother thinks such traingle does not... more

05/28/21

Coordinate Geometry

The point M(2,3) is given. Find the coordinates of the endpoints of four noncollinear segments that have point M as their midpoint. If you know that a segment with midpoint M has length 6, how many... more

Differentiate the fuction f(t)=2t+1/t+3

Differentiate the fuction f(t)=2t+1/t+3

Hi! My teacher gave me a study guide a study guide, and there were a few sequence problems that I don't understand. Can someone please help?

Write out the first three terms and the final term. Then find the sum. :12∑ 4kk=1 2. Given 5 − 15 + 45 − ⋯ − 645700815a. Is this list sequence arithmetic or geometric? How can you tell?b. Is Gauss... more

Hello! My teacher gave me this study guide on sequence, and I'm having a bit trouble with a few problems, could someone please help me out and explain?

Find the sum −3 + 4 + 11 + ⋯ + 67 Find the sum 2 + 10 + 50 + ⋯ + 2 ∙ 513 Write out the first three terms and the final term. Then find the sum. : 30 ∑ (3k-4) k=0 4. Write the... more

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According to a survey, about 45% of people ages 18 and older in a city have a dog. You ask 6 randomly chosen people (ages 18 and older) whether they have a dog. What is the probability that at most... more

A line passes through the point (1, −3) and forms an angle of 30 ° with the line y = √3x - 5. Determine the equation of the line.

A line passes through the point (1, −3) and forms an angle of 30 ° with the line y = √3x - 5. Determine the equation of the line.

05/26/21

Find a number x in the closed interval ....

 Find a number x in the closed interval (2/3,4/3) such that the sum of the number and its reciprocal is:a). as small as possibleb). as large as possible

05/25/21

Solve the equation for θ (0° ≤ θ < 360°). In the space provided, type the answer without any spaces between the letters, numbers, or symbols.

Solve the equation for θ (0° ≤ θ < 360°). In the space provided, type the answer without any spaces between the letters, numbers, or symbols.2 sin θ = 1

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a. In a baseball game, a batter hits a ball to the center field fence, a distance of 400 ft from home plate. The center fielder throws the ball to third and robs the triple. How far is the center... more

05/25/21

Query in Implicit Differentiation Problem (Regarding chain rule)

We all are familiar with the ladder problem in implicit differentiation,Here the ladder is 10 ft long and sliding from the wall at rate of 1 ft/sec. i.e dy/dx =1 ft/sec.I had to find out how fast... more

Probability/Algebra 2 (PLEASE HELP)

James can attend either Irvine Valley College or Golden West College this summer for a class. If James attends Irvine Valley College, he is 70% likely to take Philosophy and 30% likely to take... more

05/24/21

A dog walks due east 180 feet to a corner. After turning through an angle of 81.5°, the dog walks 329 feet to the second corner (see description for for full problem)

A dog walks due east 180 feet to a corner.After turning through an angle of 81.5°,the dog walks 329 feet to the secondcorner. Then the dog walks back to thestarting point. What is the area of... more

05/24/21

Help with geometry homework

segment AB has endpoints A(-7,2) and B(9,-6) point P lies on AB such that AP:BP = 3:1. determine the coordinates of P. B) a dilation of P centered at A maps P into B. what dilation constant is... more

05/23/21

Find the probabilities as a reduced fraction, decimal to the nearest thousandth, or percent to the nearest tenth. 

Find the probabilities as a reduced fraction, decimal to the nearest thousandth, or percent to the nearest tenth. If a box contains two yellow balls and one red ball, what is the probability of... more

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