Let's break it down into something more simple:
What's 10 times 10? 100
What's 10 times 10 times 10? 1000
Do you see a pattern? (Cool trick - The number of 10s match the number of 0s in the answer)
We have seven 0s in our answer, so let's check:
10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000
An exponent tells us that we're multiplying the big number by itself however many times the little number in the corner tells us.
So if we multiply 10 by itself 7 times (what we did above), then our answer will be 10 to the power of 7, or
. This is equal to 10,000,000.
Answer:
N = 52 * (9/7)^(t/1.5)
Step-by-step explanation:
This problem can be modelated as an exponencial problem, using the formula:
N = Po * (1+r)^(t/1.5)
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
In our case, we have that N is the final number of branches after t years, Po = 52 branches, r = 2/7 and t is the number of years since the beginning (in the formula we divide by 1.5 because the rate is defined for 1.5 years)
Then, we have that:
N = 52 * (1 + 2/7)^(t/1.5)
N = 52 * (9/7)^(t/1.5)
<span>The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence?
<span>A. The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14.
</span><span>B. The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10.
</span><span>C. The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.
</span><span>D. The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.
</span></span>
Answer:
-15u+5
Step-by-step explanation:
- open up the bracket -15u-5+10
- liketerms together -15u+5
- hence answer is -15u+5
Answer:
the answer is in the attached image below
Step-by-step explanation: