The awnser is 864 just multiply them together
Answer:
B
Step-by-step explanation:
logₓ 7 = 3
x³ = 7
Take cube root both sides
![x= \sqrt[3]{7}](https://tex.z-dn.net/?f=x%3D%20%5Csqrt%5B3%5D%7B7%7D)
Number of calories consumed on Monday = 2161
Number of Calories consumed on Tuesday = 2378
Number of Calories consumed on Wednesday = 1841
Daily average intake is 2200
Let calories intake on Thursday be X
Now ,
Average = sum of total calories/ number of calories
=> 2200 = 2161+2378+1841+X/4
=> 2200 x 4 = 6377 + X
=> 8800 = 6377 + X
=> X = 8800-6377
=> X = 2423
So Samuel must consume 2423 calories on Thursday
Answer:
y = 2cos5x-9/5sin5x
Step-by-step explanation:
Given the solution to the differential equation y'' + 25y = 0 to be
y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.
According to the boundary condition y(0) = 2, it means when x = 0, y = 2
On substituting;
2 = c1cos(5(0)) + c2sin(5(0))
2 = c1cos0+c2sin0
2 = c1 + 0
c1 = 2
Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given
y(x) = c1cos5x + c2sin5x
y'(x) = -5c1sin5x + 5c2cos5x
If y'(π) = 9, this means when x = π, y'(x) = 9
On substituting;
9 = -5c1sin5π + 5c2cos5π
9 = -5c1(0) + 5c2(-1)
9 = 0-5c2
-5c2 = 9
c2 = -9/5
Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation
y = c1 cos(5x) + c2 sin(5x) will give
y = 2cos5x-9/5sin5x
The final expression gives the required solution to the differential equation.
Answer: 54-2y
Step-by-step explanation:
If x equals 18, you need to multiply 3 times 18. It would need to stay as an expression since they have different variables.
