The product of all integers from 1 to 100 is 100!. The formula actually counts the number of factors 5 in n!, but since there are at least as many factors 2, this is equivalent to the number of factors 10, each of which gives one more trailing zero.May 15, 2020
Answer:
The energy in object is 3.8 Kilo Joules.
Step-by-step explanation:
We are given the following in the question:
Mass = 20 kg
Height,h = 20 m
g=9.5 m/s^2
Formula:
Potential energy =

Putting value we get,

Thus, the energy in object is 3.8 Kilo Joules.
Answer:

Step-by-step explanation:
Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have
Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising
<em>P(0) = 0 and P(50) = 1,500,000
</em>
We have and ordinary differential equation of first order that we can write
The <em>integrating factor </em>is
Multiplying both sides of the equation by the integrating factor
Hence
Integrating both sides
But P(0) = 0, so C = -3,000,000
and P(50) = 1,500,000
so
And the equation that models the number of people (in millions) who become aware of the product by time t is
H=-5(t^2 - 16t)
H=-5(t^2 - 16t +64)+320
H=-5(t-8)^2 +320
Vertex is at (8, 320)
The max height is 320 m.
Answer:
8 = r
Step-by-step explanation:
69 = 9r -3
Add 3 to each side
69+3 = 9r -3+3
72 = 9r
Divide each side by 9
72 / 9 = 9r/9
8 = r