Answer:
300 gallons an hour
Step-by-step explanation:
If it pumps 75 gallons in 1/4 of an hour (15 minutes), then if you times that by four to make it a full hour (60 minutes). 75 times 4 is 300.
Wow. this is too difficult for me
Answer:
x=8
Step-by-step explanation:
We have been given with the function:
Here, we have same base of logarithmic function on both sides of the equation.
So, we will equate the values on right hand side and left hand side of the equation we will get
After simplification we will get
After further simplification we will get
Hence,
Therefore the correct answer is 8.
Answer:
a = - 1.1
Step-by-step explanation:
The condition for a single variable function f(x) to be decreasing is f'(x) < 0.
f(x) = 4/x^2 - 6x + 9
Then, differentiating with respect to x on both sides we get,
f(x) = 4(-2)(1/x^3) - 6 < 0
-8/x^3 - 6 < 0
8/x^3 + 6 > 0
{Dividing both sides with - 1 and hence the inequality sign changes}
8/x^3 > -6
8 > - 6x³ {Multiplying both sides with x³}
6x³ > - 8 {Interchanging the sides}
x^3 > -8/6
⇒ x > - 1.1
So, a = - 1.1
