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MrRissso [65]
3 years ago
13

The change in the population of fruit flies can be modeled by the equation P(t) = 3(1.50),

Mathematics
1 answer:
sasho [114]3 years ago
4 0
B. 50% increase daily
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What is the nth term of the sequence -2 -8 -18 -32 -50
andreev551 [17]

Answer:

-2n²

Step-by-step explanation:

Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
T_{n} = an^{2}  +bn +c

To find the value of a we just divide second difference ( -4 ) by 2:

  • a = \frac{-4}{2}= -2

Now we have:

  • T_{n}= -2n^{2}  +bn+c

Substitute n_{1} and n_{2} into the equation above:

  • T_{1} = -2(1)^{2}  +b(1) +c
  • T_{2} = -2(2)^{2}  +b(2)+c

Since T_{1} = -2 and T_{2} = -8 , after simplification we have:

  • b +c =0
  • 2b+c=0

The solution of this system is:

  • b=0, c =0

The general term is :

T_{n} = -2n^{2}

6 0
2 years ago
A bat is sitting in a tree. He leaves the tree and flies up to a speed of 4 meters per second in 8 seconds. How far does he trav
Mariulka [41]

Answer:

32 meters

Step-by-step explanation:

4*8=32 and you have to do this because he flies 4 meters per second and in 8 seconds

3 0
3 years ago
Is 18-35 an expression or an equation
allsm [11]

Answer:

It is an expression

Step-by-step explanation:

An equation needs to have an equal sign in it and 18-35 doesn't  have an equal sign

Hope this helps!! :)

6 0
3 years ago
Read 2 more answers
a shipping company delivered 38728 letters and 41584 packages. write and solve an equation to find how many items the company de
kolbaska11 [484]

38,728 + 41,584 = 80,312

The company delivered 80,312 items.

7 0
3 years ago
What is the y-intercept ?
joja [24]
The y-intercept is 2. The y-intercept occurs when x is 0. In the graph, y is 2 when x is 0.
6 0
3 years ago
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