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3 years ago

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