The perimeter , width and length are all one dimensional so the preimeter of the resulting rectangle will be 2.5 * 36 = 90.
The area is 2 dimensional whereas the vase and height are one dimensional so the area will be increased by a factor of 5^2 ( or 25)
New rea = 36*25 = 900
solids are 3 dimensional so the ratio of thereir volumes is 5^3 : 3^3
= 125:27
to answer the last 2 use the formula Volume = pi r^2 h where r = radius and h = height of a cylinder
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.
Based on the given problem above, the proportion of the students responding to the survey that said that they liked at least one of the two side dishes is 3/10. Because<span> 30% said they like tater tots and all the ones who said they liked fries are the same people then you're only looking at the 30% wherein 30/100 is 3/10 which makes 3/10 the right answer.</span>
The equation is only create a line on the coordinate itself . make a straight line on - 8 of y axis
so it is horizontal and there is no slope
the answer is a
<span>The wallet contains 4 $1 bills, 4 $5 bills, and 4 quarters.
$1 </span>× 4 = $4
$5 × 4 = $20
$0.25 × 4 = $1
$4 + $20 = $24, $24 + $1 = $25.
