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:
Below.
Step-by-step explanation:
First draw an angle of 90 degrees.
Then bisect it to give an angle of 45 degrees.
Finally bisect the 45 degree angle.
To get that percentage you just need to divide 1550 by 200p:
1550/2000 = 0.775
Which means that only 77.5% of the students voted
I hope you understood my brief explanation. And please consider marking this awnser as Branliest. Thank you ! :)
The amount of cards that isn't a club, 2, or 3 is 33 cards if we have a 52 card deck.
So our probability is 33/52
To get that to a percentage we need to change that to a decimal. To do that, we divide 33 by 52. If we do that we get 0.635 if we round to the nearest thousandth.
To change that to a percentage we multiply that by 100
0.635 times 100 equals 63.5
So the probability of picking a card that isn't a club, 2, nor 3 is 63.5%
Any questions?
18,649 - 22,000 = 3,351
3,351 rounded to the nearest hundred:
3,400
