The parks department has started building a new playground at Canyonside Park. The shape of the playground is shown below. A playground is made up of a rectangle and a triangle. The rectangle has a base of 36 feet and a height of 10 feet. The triangle has a base of 36 feet and a height of 14 feet. The supervisor needs to purchase wood chips to cover the ground in the playground area. If wood chips are sold in bags containing enough to cover 4 square feet and these bags cost $8.00 apiece, how much will it cost to cover the entire area of the playground with wood chips? $612.00 $1,224.00 $1,728.00 $4,896.00

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.

Which expressions equal 9 when x=4 and y=1/3 a. x2+6y b. 2x + 3y c. y2-21x d. 5 (x/2) -3y e. 3x-9y

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?