Answer:
8/45
Step-by-step explanation:
Write 4 5/8 as an improper fraction: 45/8.
Then invert this result, obtaining:
. This is the "reciprocal" of 4 5/8.
Is there any option to choose from ?
If so show them and I’ll probably be able to answer .
291-186=105 (total earned through wages)
105/5=21
Therefore she worked 21 hours
Volume is cubed. If the dimensions are doubled, cube the scale factor:
2^3 = 8
The volume will increase by a scale of 8.
The new volume would be 97 x 8 = 776 ft^3
Answer:
C = 5.
Step-by-step explanation:
First, you need to remember that:
For the function:
h(x) = Sinh(k*x)
We have:
h'(x) = k*Cosh(k*x)
and for the Cosh function:
g(x) = Cosh(k*x)
g'(x) = k*Cosh(k*x).
Now let's go to our problem:
We have f(x) = A*cosh(C*x) + B*Sinh(C*x)
We want to find the value of C such that:
f''(x) = 25*f(x)
So let's derive f(x):
f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)
and again:
f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)
f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)
And we wanted to get:
f''(x) = 25*f(x) = C^2*f(x)
then:
25 = C^2
√25 = C
And because we know that C > 0, we take the positive solution of the square root, then:
C = 5
