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:
The product of 
and 
is 
. The reciprocal is 
.
Step-by-step explanation:
We have to find the product of and before we find the reciprocal.
Before we do this though, we need to review a few words and their definitions.
First, the reciprocal of a fraction is when the numerator becomes denominator and the denominator becomes numerator.
Now we're ready to solve 
:
Step 1: Use this rule: 
.
Step 2: Simplify 7 × - 3 to - 21.
Step 3: Simplify 6 × 28 to 168.
Step 4: Move the negative sign to the left.
Step 5: Simplify 
to 
.
Now that we've found the product, we now must find the reciprocal.
Now using what we know and the process to find the reciprocal.
We can use that knowledge to find it:
Answer:
Step-by-step explanation:
Rationalize the denominator by multiplying both denominator & numerator by the conjugate of the denominator.
Conjugate of the denominator 1 + √3 is 1 - √3
Answer:
r = 11
L = 6
Step-by-step explanation:
7(6) = 42
5(11) = 55
42 + 55 = 97
The answer is 77 multiply and add them
