Answer:
h = 36.9 cm
Step-by-step explanation:
The function given to us is:
h(t) = 51 + 20 sin(225t)
Where h(t) is the function of the height in centimeters while t represents the time in seconds.
We have to find the height h(t) when the time is equal to 19 seconds.
Substitute t=19 into the given function
h(19) = 51 + 20 sin(225(19))
h(19) = 51 + 20 sin(4275)
h(19) = 51 + 20 (-0.7071)
h(19) = 51 + (-14,1421)
h(19) = 36.8579 cm
Rounding off to nearest 10th
h = 36.9 cm
If she puts 0 in the box she would have a direct variation.
Lydia writes the equation y = 5x - __ with a missing value.
She puts a value in the box and says that the equation represents a direct variation.
We have to choose the correct option from the given options that explain that the equation could represent a direct variation.
When two variables are such that one is a constant multiple of the other, we said they are in Direct variation.
<h3>What is the
direct variation?</h3>
In form of y = ax, where y and x are in direct variation.
Consider the given equation y = 5x - __
For the equation to be in direct variation the value of the missing term has to be 0.
then the equation becomes,
y = 5x
Thus, If she puts 0 in the box she would have a direct variation.
Option (a) is correct.
To learn more about the direct variation visit:
brainly.com/question/25215474
#SPJ1
4x345=1380
3000-1380=1621
Answer= Denise would have 1,621 water bottles left
Answer: 
<em>Your Answer Is...</em><em> </em>2
Step-by-step explanation:
<em>Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.</em>
<em />
Hopefully this helps <em>you!</em>
<em />
<u>- Matthew ~</u>
