You may leave your answers as radicals or written as decimals rounded to the nearest tenth.
1 ) A room is 6 feet longer than it is wide. Its area
is 691 square feet. Find the dimensions of the room.
2 ) The height of an object, h in meters, projected upward
at an initial speed, r in meters per second, at a given time, t in seconds,
is found using the following formula: h = rt - 4.9t2.
Find
how long it takes a ball thrown upward with an initial speed of 14 m/s
to reach a height of 7 m.
3 ) If three capacitors of capacitance x, y, z are connected
in series, the total capacitance of the circuit, C, is given by
1 + 1 + 1 = 1
x y z
C
(Capacitance is a positive number measured in microfarads.)
In a certain circuit, y is 5 times as great as x, and z, is 5 microfarads
less than y. If the total capacitance is 2 microfarads, find x, y, and
z.
4 ) Boyle’s Law, applied to the amount of gas used in
a given experiment at a constant temperature, states that pV = 240 where
p is pressure measured in kilopascals and V is volume measured in cubic
centimeters. If a decrease in pressure of 1 kPa produces an increase in
volume of 20 cubic centimeters, what was the original pressure on the gas?
5 ) Pamela and Anita can complete a job in 6 hours if
they work together. Working alone, Pam takes 4 hours longer to complete
the job than Anita does when she works alone. How long would it take each
woman to finish the the job working alone?