Answer:
122.5 m
Step-by-step explanation:
s = ½g.t²
= ½×9.8×5² = 122.5
Use Law of Cooling:

T0 = initial temperature, TA = ambient or final temperature
First solve for k using given info, T(3) = 42

Substituting k back into cooling equation gives:

At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:

Solve for x:

Sub back into original cooling equation, x = T(t)

Solve for t:

This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM
Answer:
d is the answer
Step-by-step explanation:
perimeter of rect = 2(7+3) = 20
perimeter of square = 4 a =20
a = 5
The answer is: a = 16
Steps:
First exclude any restricted values of y.
6/y = 9/24 , y is not equal 0
Simplify the right side of the equation using 3.
6y = 3/8
Cross multiply.
6 x 8 = 3
3 x y = 3y
So, 6 x 8 = 3y
Or, 48 = 3y
Switch the sides of the equation.
3y = 48
Divide both sides by 3.
3y/3 = y
48/3 = 16
Now you have your answer, y = 16