There are many square prisms with volume 248 in. Let w represent the side length of the square base and h represent the height in inches. Then the formula for the volume V, in cubic
inches, of these prisms is V = w2h and the equation for the surface area S, in square inches, is
S = 2w^2 + 4wh.

Write an equation for S as a function of w when the volume of the prism is 248 in^3. Explain or show your work.

An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. with the given information, which of these statements is a reasonable conclusion? a there will be 24 milliliters of water in the bucket after 16 hour. b there will be 60 milliliters of water in the bucket after 14 hour. c there will be 160 milliliters of water in the bucket after 20 minutes. d there will be 100 milliliters of water in the bucket after 40 minutes.

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 33 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30 ∘c on monday, but decreased at a constant rate in the next 33 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

In the diagram below? p is circumscribed about quadrilateral abcd. what is the value of x