Answer:
Jeez, This number is not a whole number. The real answer would be 140.714285714
Step-by-step explanation:
But the rounded answer would be about 141.
Answer:
Step-by-step explanation:
First you must find the number of cubic feet in the pool. (That's volume)
Formula
V = l*w*h
Givens
Solution
<em><u>Volume</u></em>
V = 38 * 22 * 8
V = 6688 cubic feet.
<em><u>Gallons</u></em>
1 cubic foot = 7.5 gallons
6688 ft^3 = x
<em><u>Proportion</u></em>
1/6688 = 7.5 / x Cross Multiply
x * 1 = 7.5 * 6688
x = 50160 gallons
To find the maximum or minimum value of a function, we can find the derivative of the function, set it equal to 0, and solve for the critical points.
H'(t) = -32t + 64
Now find the critical numbers:
-32t + 64 = 0
-32t = -64
t = 2 seconds
Since H(t) has a negative leading coefficient, we know that it opens downward. This means that the critical point is a maximum value rather than a minimum. If we weren't sure, we could check by plugging in a value for t slightly less and slighter greater than t=2 into H'(t):
H'(1) = 32
H'(3) = -32
As you can see, the rate of change of the object's height goes from increasing to decreasing, meaning the critical point at t=2 is a maximum.
To find the height, plug t=2 into H(t):
H(2) = -16(2)^2 +64(2) + 30 = 94
The answer is 94 ft at 2 sec.
Answer:
can u take full screen picture?
Step-by-step explanation:
Answer:
The other rational number in the operation given is:
Step-by-step explanation:
To obtain the number in the operation given, we're gonna represent the operation:
Where:
- r = the other rational number.
Now we are going to solve r to identify its value in numbers:
(We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)
As you can see, when we operate, <u>the result is 6/5</u>, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:
- r * 15/14 = 9/7
- 6/5 * 15/14 = 9/7
- 9/7 = 9/7
In this form, we know the result is correct.