Answer:
At first it adds by five and then after year 2 it adds u by 1.50. So the answer is 46,656
Step-by-step explanation:
Answer:
1. Over the past 10 years, what is the warmest temperature recorded, in degrees Fahrenheit, for the month of December in Miami, Florida?
Answer- Non-statistical, because there couldve been multiple days that were the same temperature in that month.
2. At what temperature does water freeze in, Miami, Florida?
Answer- Statistical, water freezes at the same temperature every single time. There will never be a different temp that water freezes at.
Step-by-step explanation:
hope this helps:)
x*y' + y = 8x
y' + y/x = 8 .... divide everything by x
dy/dx + y/x = 8
dy/dx + (1/x)*y = 8
We have something in the form
y' + P(x)*y = Q(x)
which is a first order ODE
The integrating factor is
Multiply both sides by the integrating factor (x) and we get the following:
dy/dx + (1/x)*y = 8
x*dy/dx + x*(1/x)*y = x*8
x*dy/dx + y = 8x
y + x*dy/dx = 8x
Note the left hand side is the result of using the product rule on xy. We technically didn't need the integrating factor since we already had the original equation in this format, but I wanted to use it anyway (since other ODE problems may not be as simple).
Since (xy)' turns into y + x*dy/dx, and vice versa, this means
y + x*dy/dx = 8x turns into (xy)' = 8x
Integrating both sides with respect to x leads to
xy = 4x^2 + C
y = (4x^2 + C)/x
y = (4x^2)/x + C/x
y = 4x + Cx^(-1)
where C is a constant. In this case, C = -5 leads to a solution
y = 4x - 5x^(-1)
you can check this answer by deriving both sides with respect to x
dy/dx = 4 + 5x^(-2)
Then plugging this along with y = 4x - 5x^(-1) into the ODE given, and you should find it satisfies that equation.
10% and 16% ? I think I haven't done this in three years!
Answer:
3
Step-by-step explanation:
first work out wax used for cone using formula
1/3 x 3.14 x r squared x height
using this the total for the candle must be 113
formula for a sphere is 4/3 x 3.14 x r cubed
so we know 113 /3.14 / 4/3 = r cubed
cube root 27 = 3