Mohamed decided to track the number of leaves on the tree in his backyard each year. the first year, there were 500 leaves. each year thereafter, the number of leaves was 40% more than the year before. let f(n) be the number of leaves on the tree in Mohamed's backyard in the n^th year since he started tracking it. f is a sequence. what kind of sequence is it?
Number of leaves on the tree in first year = 500
The number of leaves was 40% more than the year before.
So rate of increase is 40/100 = 0.4
We use exponential growth formula,
f(n) = a(1+r)^n
Where a is the initial number, r is the rate of growth, n is the number of years
We know a= 500, r= 0.4
f(n) = 500(1+0.4)^n
f(n) = 500(1.4)^n
Plug in n=1,2,3...
f(1) = 500
f(2) = 500 * 1.4^1
f(3) = 500 * 1.4^2 and so on
From this we can see that the common ratio is 1.4
Hence it is a Geometric sequence.
Answer:
-5^x + 3x - 2.
Step-by-step explanation:
(f - g) (x) = f(x) - g(x)
= -5^x - 4 - (-3x - 2)
= -5^x - 4 + 3x + 2
= -5^x + 3x - 2.
The first one is like 5x5x5x5 which is 625 multiplied by 3x3 which is 9 and together the product will be 5,625.
The second one is 5-4 which is 1-3 which is -2 - 2 = -4 - 1 which is -5 so it’s not it because it’s the opposite of the number we need to find.
The third one is kind of messed up because there’s no such thing as 5.4.3 so sorry I can’t do that one.
The fourth one is 15 because you basically add the numbers up.
And the fifth is not 5. It’s 5.1 so that’s not it either.
So I’m sorry I can’t find the answer but at least I have you some background :/
Answer:
To find the scale factor, locate two corresponding sides, one on each figure. Write the ratio of one length to the other to find the scale factor from one figure to the other. In this example, the scale factor from the blue figure to the red figure is 1.6 : 3.2, or 1 : 2.
Step-by-step explanation:
Answer:
0.77
Step-by-step explanation:
I just guessed
