Answer:
Option B. A = (5/6)^-⅛
Step-by-step explanation:
From the question given above, we obtained:
(5/6)ˣ = A¯⁸ˣ
We can obtain the value of A as follow:
(5/6)ˣ = A¯⁸ˣ
Cancel x from both side
5/6 = A¯⁸
Recall:
M¯ⁿ = 1/Mⁿ
A¯⁸ = 1/A⁸
Thus,
5/6 = 1/A⁸
Cross multiply
5 × A⁸ = 6
Divide both side by 5
A⁸ = 6/5
Take the 8th root of both sides
A = ⁸√(6/5)
Recall
ⁿ√M = M^1/n
Thus,
⁸√(6/5) = (6/5)^⅛
Therefore,
A = (6/5)^⅛
Recall:
(A/B)ⁿ = (B/A)¯ⁿ
(6/5)^⅛ = (5/6)^-⅛
Therefore,
A = (5/6)^-⅛
Answer:
<em>733 x 60 = </em><em>43,980.</em>
Step-by-step explanation:
Another way to do this equation is by <em>adding 733 by itself 60 times.</em>
The water is flowing into the pool at 1.5 gallons per minute and it would take 20 minutes to be filled.
<h3>
What is an Equation</h3>
An equation is used to show the relationship between two or more numbers and variables.
The pool holds 30 gallons of water. After 5 minutes, the pool is about one fourth full. Hence:
Time to full the pool = 5 minutes * 4 = 20 minutes
Rate of water flow = 30 gallons/20 minutes = 1.5 gallons per minute
The water is flowing into the pool at 1.5 gallons per minute and it would take 20 minutes to be filled.
Find out more on Equation at: brainly.com/question/13763238
Answer: 
.
Step-by-step explanation:
We know that 
compresses f(x) vertically such that
- if 0 < a < 1 (a fraction), the graph is compressed vertically by a factor of a units.
- if a > 1, the graph is stretched vertically by a factor of a units.
If we vertically compress the linear parent function, F(x) = x, by multiplying by 
.
Then, the equation of the new function is 
.
i.e. .
