Answer:
4 h 45 min
Step-by-step explanation:
Answer:
Step-by-step explanation:
10^(-2) = 1/10^2 =1/100 = 0.01
Domain:
From left-to-right, the graph starts at x = -4 and goes on forever to the right.
The domain is x ≥ -4.
Range:
From bottom-to-top, the graph gets as low as y = 1 and goes up forever.
The range is y ≥ 1.
Answer:
Step-by-step explanation:
Recall that the ratio test is stated as follows:
Given a series of the form 
If L<1, then the series converge absolutely, if L>1, then the series diverge. If L fails to exist or L=1, then the test is inconclusive.
Consider the given series 
. In this case, 
, so , consider the limit
Since the numerator has a greater exponent than the numerator, the limit is infinity, which is greater than one, hence, the series diverge by the ratio test
Answer: NP = 9 inches
Step-by-step explanation:
In a parallelogram, the opposite sides are equal.
If the length of the longer side is MN, it means that the length of the two opposite longer sides is 2MN.
If the length of the shorter side is NP, it means that the length of the two opposite shorter sides is 2NP.
The perimeter is 2MN + 2NP
If the perimeter of MNPQ is 68 inches, it means that
2MN + 2NP = 68- - - - - - - - - - - -1
In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. It means that
MN = 2NP + 7- - - - - - - - - - -2
Substituting equation 2 into equation 1, it becomes
2(2NP + 7) + 2NP = 68
4NP + 14 + 2NP = 68
4NP + 2NP = 68 - 14
6NP = 54
NP = 54/6
NP = 9 inches
