Answer:
750 people will come in at 15 hours.
Step-by-step explanation:
350 divided by 7=50 50 times 15=750
sorry i don't know the rest
Area = Length x Width (A = L x W)
A = 264, W = 11, L = ?
Rewrite the equation to find L. In order to reverse multiplication, you must divide.
L = A / W
L = 264 / 11 = 24 yards
Answer:
x = -25.375
Step-by-step explanation:
4(-8x+5) = -32 x 26
-32x + 20 = 832
-32 = 812
x = -25.375
Answer:
14 ohms
Step-by-step explanation:
The resistance varies directly with length, so increasing the length by a factor will increase the resistance by the same factor.
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The length of the wire increased by a factor of 1.4 from 100 ft to 140 ft. That means the resistance will increase by a factor of 1.4 from 10 ohms to 14 ohms. (The diameter did not change.)
The longer wire will have a resistance of 14 ohms.
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.
