Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
Answer:
69 hours
Step-by-step explanation:
just subtract 72-3 and 69 is the answer
we know that
surface area of the cylinder=2*{area of the base}+perimeter of base*height
area of the base=pi*r²
r=40 ft
Area of base=pi*40²
Area of the base=1600*pi ft²
Perimeter of the base=2*pi*r
Perimeter of the base=2*pi*40
Perimeter of the base=80*pi ft
surface area of the cylinder=2*1600*pi+80*pi*17
surface area=4560*pi ft²
therefore
the answer is the option
4560π ft2
37 is 26%(rounded up to the nearest percent) of 144
Answer:
V = 929.7
Step-by-step explanation:
Given the equation:
= 
The integral of the above equation is:
= 
Re-organizing the integrals:
= 
Integrating:
ln(CA) - ln(CA0) = 
Inputting the initial conditions of CA and the values of k and V0:
ln(7) - ln(100) = 
1.946 - 4.605 = -0.00286V
-2.659 = -0.00286V
=> V = 
V = 929.720
Approximating to one decimal place,
V = 929.7
