Answer:
40 hours will it take for the pool to fill.
Step-by-step explanation:
A pump can fill a swimming pool in 8 hours.
Work done by pump to fill in 1 hour is 
The pool also has a drain that can empty the pool in 10 hours.
Work done by pump to drain in 1 hour is 
If someone turns on the pump to fill the pool, but forgets to shut the drain.
Work done by both pipe in 1 hour is
Both pipe filled 
part of pool in hours = 1
Both pipe filled complete pool in hours = 
Therefore, 40 hours will it take for the pool to fill.
The 8th term of the geometric sequence is 13122x^22
<h3>Explicit form of a geometric sequence</h3>
The explicit form of a geometric sequence is expressed according to the equation;
Tn = ar^n-1
where
r is the common ratio
a is the first term
n is the number of terms
Given the sequence below;
6x,18x^4,54x^7
r = 18x^4/6x
r = 3x^3
a = 6x
n = 8
Substitute to have:
T8 = 6x(3x^3)^8-1
T8 = 6x (3x^3)^7
T8 = 13122x^22
Hence the 8th term of the geometric sequence is 13122x^22
Learn more on geometric sequence here: brainly.com/question/24643676
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Answer:
56
Step-by-step explanation:
Answer:Use the slope −2 and the point (−4,−5) to find the y-intercept.
y=mx+b
⇒−5=(−2×−4)+b
⇒−5=8+b
⇒b=−13
Write the equation in slope intercept form as:
y=mx+b
⇒y=(−2)x−13
Hence, the equation of the line is y=−2x−13.
Step-by-step explanation:
Please make me brainliest :)
X can be any real number
As long as it is to the power of 0, it will equal one. And because 6^0 = 1, 1^x can be any positive number, and it will still give you one.
As stated by WojtekR, even negative numbers can get 1
x = - 5
(6^0)^-5 = 1^-5 = 1/1 = 1
~ Thanks @WojtekR
