Answer:
The height of the water = 6.2 in. to the nearest tenth
Step-by-step explanation:
∵ The rate of flows of water into the tank = 8000 in.³/min.
∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³
∵ The water take the shape of the tank
∴ The height of the water = volume of water ÷ Area of the base of the tank
∵ The tank is cylinder with diameter 128 in. and height 72 in.
∴ The area of the base of the tank = π(128/2)²
∴ The height of the water = 
∴ The height of the water = 6.2 in. to the nearest tenth
Answer:
- <u><em>Option A. F T → F</em></u>
Explanation:
A conditional is represented by:
Where p is called the antecedent, and q is the consequent.
Thus, a conditional states that if the antecedent is true, its consequent is also true; also, if the consequent is false, then the antecedent must be false.
On the other hand, if the antecedent is true, the consequent can be either true or false.
<u>1. State the antecedent of the conditional and is truth value</u>
- Truth value: False, because 6 is not greater than 10.
<u>2. State the consequent of the conditional and its truh value</u>
- Truth value: True, because 8 times 3 is 24.
<u>3. Truth value of the conditional</u>
Hence, the truth value of the conditional is:
Which is the option A.
There are two positive slopes on the opposite side for E and F, while there are two negative slopes on the opposite sides for G and H.
The given trinomial can be factored using factorization as
x²-x-12
=x²-4x+3x-12
=x(x-4)+3(x-4)
=(x-4)(x+3)
Thus x-4 and x+3 are the factors of the given trinomial. From these we can see x+3 is listed in option A
So the answer to this question is Option A
First answer: Graph A
Second answer: E) Increase less
Graph A shows a flatter curve compared to B which is steeper. The steeper the curve, the faster the increase.