If number of nickel = n
number of dimes = 3n
number of quarters = 2n
Amount of nickel = 5n
Amount of dimes = 30n
Amount of quaters = 50n
Total Amount = <span>5n + 30n + 50n = 510
In short, Your Answer would be Option C
Hope this helps!</span>
The Solution:
The correct answer is [option B]
Given:
Required:
To determine the inequality represented by the given number line.
Does radical mean square root?, because radical can mean square root, cube root, fourth root, etc.
Well, I'm going to assume that radical = square root
So, if you have two square root functions, you can multiply the numbers within the square root, so you now have
, which I'm not sure if you want it simplified or not
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
Answer:
The interval estimate is above 70%, so infer that it will be supported.
Step-by-step explanation:
The evidence that 95% confidence interval estimating the proportion of students supporting the fee increase is [0.75, 0.85] supports university officials' claim that at least 70% of the voting student population supports a fee increase.
Therefore we can infer that a fee increase will be supported.