<span>seventy-seven hundredths.</span>
Answer:
-2^(x-2)
Step-by-step explanation:
Using differential calculus:
We know that the integral of 1/x = ln(x)
or 2x/ln(2) = log2(x), so we plug in our knowledge and chain rule to figure out that the answer to the inverse is -2^(x-2) :)
Answer:
6
Step-by-step explanation:
5+8+6+5+10+7+1=42
42/7=6
The initial value is 21 and rate of change is 16 pages per week
<em><u>Solution:</u></em>
Given that After writing part of his novel, Thomas is now writing 16 pages per week
After 4 weeks, he has written 85 pages.
Given that assume the relationship to be linear
Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + c
y = mx + c
where "y" is the number of pages written after 4 weeks
x = 4 weeks and m = 16 pages
Therefore,
85 = 16(4) + c
85 = 64 + c
c = 85 - 64
c = 21
Therefore, initial value is 21 and rate of change is 16 pages per week
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.
