The length of pendulum is 2.485 feet
<h3><u><em>
Solution:</em></u></h3>
Given that,
The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth
<u><em>Therefore, the given formula is:</em></u>

We have to find the length of pendulum that makes one full swing in 1.75 seconds
So the modify the given equation to find "L"

Substitute T = 1.75 seconds and 

Thus length of pendulum is 2.485 feet approximately
K=19 which would leave the equation 181=181. The first step to solving this is subtracting 9k from each side.
after you do that it should be k-9=10
now you add 9 to both sides leave k=19. plug k into the equation and get 181=181
Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation,
, where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
.
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):






Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.
the coach makes a total volume of 60 L of a sports drink
we have to find the number of cups he can fill with the drink
1 cup is equivalent to 0.5 pints
so we have to first convert L to pints
1 L = 2.11 pt
then 60 L = 126.6 pt
the volume of sports drink made is 126.6 pt
so 0.5 pt make - 1 cup
then 126.6 pt make - 1 / 0.5 x 126.6 = 253.2 cups
he can make 253 full cups and 0.2 of a cup
answer is 253.2 cups