Answer:
= 4 1/6 ---------------> final answer
Step-by-step explanation:
1 2/3 cup of sugar
That is : 5/3 cups of sugar for 1 cookie recipe
So for 1 recipe ------------- 5/3 cups of sugar
hence for 2 1/2 recipe ---------------> (5/3) * (5/2)
= 25/6
= 4 1/6 ---------------> final answer
Answer:
- increase the sample size
- choose students from different grade levels
- choose every fourth student in all language arts classes
Your welcome :]
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.
<span>A rabbit’s heart rate should be 120-150 beats per minute so you just multiply 120 by 60 and 150 by 60 and the numbers in between that should be the amount of times a rabbit hearts beats in one hour. 60 x 120 = 7,200 and 60 x 150 = 9,000. A rabbit's heart beats between 7,200 and 9,000 times an hour. </span>
