1. the formula represents the kinetic energy k of an object with mass m and velocity v. k=1/2mv^2 solve for v. a. v=±2k√m b. v=±2km√m c. v=±2km−−−−√ d. v=±12km2 2. the formula gives the volume v of a right cylinder with radius r and height h. v=πr2h solve for r. a. r=vπh√h b. r=vπh√πh c. r=πvh−−−√ d. r=vπh−−−−√ 3. solve for t. d=−16t2+4t a. t=18±1−4d√8 b. t=12±41−4d−−−−−√ c. t=12±41−4d√2 d. t=8±1−4d−−−−−√

number 1

You will find that it is easier to do your algebra BEFORE plugging in the numbers. You have KE = 1 2 m v 2 KE=12mv2 then 2 KE = m v 2 2KE=mv2 then 2 KE m = v 2 2KEm=v2 so v = √ 2 KE m v=2KEm Now you can substitute in your numbers and arrive at the numeric solution.

number 2

v = πr²h

Solve for r

We can take the root of both sides, then solve from there

Thus,

The correct answer is option A

number 3

Since

t

is on the right side of the equation, switch the sides so it is on the left side of the equation.

16

t

2

=

d

Divide each term by

16

and simplify.

t

2

=

d

16

Take the square root of both sides of the equation to eliminate the exponent on the left side.

t

=

±

√

d

16

The complete solution is the result of both the positive and negative portions of the solution.

t = √ d 4 , − √ d 4

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

the answer is (-4,-4)

hope this ! : d