Answer:
option A y=9/x
Step-by-step explanation:
It is said that two variables x and y vary inversely if the increase of one of the variables causes the other to decrease.
The answer is D because , 4x176 = 704 which you divide by 60 because thats how many minutes are in an hour which should come out to 11 hours
Answer:
The apricots are less expensive per pound.
Step-by-step explanation:
Cost of 1 pound of almonds = 21.98/2
Cost of 2 pounds of almonds = $21.98
So then you have to do 21.98 - 21.98/2. Which equals $10.99
Cost of 1 pound of dried apricots = 26.25/3
Cost of 3 pounds of dried apricots = $26.25
So then you have to do $26.25 - 26.25/3 which = $17.5 then divide that by 2 which equals $8.75.
To find out how much less expensive you have to find the difference, so to do that you have to do $10.99 - $8.75 = $2.24 per pound less expensive.
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