Assignment
Find the value of each algebraic expression at the given replacement values.
1. Find a cube's volume if each side is 0.0374 meters long.
2. The quotient of x and 7 is 5 more than three times x
3. An object shot from the ground with an initial velocity of 80 feet per second has a height of -16t2 + 80t feet after t seconds. Factor this polynomial.
4. Express the tax on $100 if the tax rate is r%.
5. The length of a rectangular garden is four feet more than twice its width. If the perimeter of the garden is 100 feet, find the length and width of the garden.
6. The sum of two consecutive odd integers is 96. Find the two integers.
7. A custodian must move a shipment of books from the first floor to the sixth floor. The elevator's weight limit is 900 pounds. If the custodian weighs 160 pounds and each box of books weighs 37 pounds, find the maximum number of boxes the custodian can move on the elevator at one time.
8. A projectile is fired upward from the ground with a velocity of 250 feet per second. Neglecting air resistance, the height of the projectile in feet at any time t, in seconds, can be described by the polynomial function P(t) = -16t2 + 250t. Find the height at t = 4 seconds.
9. A certain computer can do a simple computation in 10-7 seconds. Express how long it would take this computer to do this task 5000 times.
10. Sally has scores of 88, 92, 80, and 96. Find the score she must make on the next exam to have an average of 90.