The solution to the problem is:
4 < t < 5
Given that the height of the ball is given by the equation:
h(t) = 16t² + 144t + 5
h represents the height and t represent the time taken to achieve the height.
To determine the time interval for the height to be greater than 325 feet, we need to equate h(t) to 325, hence:
-16t² + 144t + 5 > 325
-16t² + 144t - 320 > 0
-t² + 9t - 20 > 0
-t² + 4t + 5t - 20 > 0
-t(t - 4) + 5(t - 4) > 0
(t - 4)(-t + 5) > 0
t - 4 > 0; -t + 5 > 0
t > 4, t < 5
Therefore the interval for the height greater than 325 ft is:
4 < t < 5
Find more at: brainly.com/question/17718371
Answer:
A
Step-by-step explanation:
If we distribute the 3 to the equation in the parenthesis, we end up with this
12h + 6k
Now, let's do the same thing for the other two equations
3(2k + 4h) = 6k + 12h
You can rearrange this equation to look like 12h+ 6k, making it the exact same as 3(4h + 2k).
So A is equivalent
How about B?
3(4h + 2h) = 12h + 6h = 18h
18h does not equal 12h + 6k, so B is not equivalent
<span>6 servings ... 1/2 cup of butter
8 servings .... x cup of butter
We would like to know what is the value of the x.
</span>6 * x = 8 * 1/2<span>
6 * x = 4 /6
x = 4/6
x = 2/3
Result: Nancy needs</span> 2/3 cup of butter for 8 servings.
99.99 - 64.25= 35.74
35.74/64.25= 0.556=55.6% or 56% rounded
