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Charra [1.4K]
3 years ago
12

Can you help with a math problem

Mathematics
1 answer:
qaws [65]3 years ago
5 0
I believe that they are both the first answer because when the sign has a line under it, it is darken in the circle
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What is a formula for the nth term of the given sequence?<br> 36, 24, 16...
SpyIntel [72]

Answer:

The formula to find the nth term of the given sequence is 54 · \frac{2}{3} ^{n}

Step-by-step explanation:

The formula for nth term of an geometric progression is :

a_{n} = \frac{a_{1}(r^{n})}{r}

In this example, we have a_{1} = 36 (the first term in the sequence) and

r = \frac{2}{3} (the rate in which the sequence is changing).

Knowing what the values for r and a_{1} are, now we can solve.

a_{n} = \frac{a_{1}(r^{n})}{r} = \frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} } = 54 · \frac{2}{3} ^{n}

Therefore, the formula to find the nth term of the given sequence is

54 · \frac{2}{3} ^{n}

3 0
3 years ago
What quadratic function does the graph represent?
nekit [7.7K]

Answer:

f(x)=-\frac{1}{3}(x-2)^2+4,

Step-by-step explanation:

The function of the graph can be written in the vertex form as

f(x)=a(x-h)^2+k, where V(h,k)=V(2,4) is the vertex of the quadratic function.

We substitute the value to obtain;

f(x)=a(x-2)^2+4,

The point (5,1) lies on the graph so we use it to determine the value of a.

1=a(5-2)^2+4,

1-4=a(3)^2,

-3=9a,

a=-\frac{1}{3}

The required equation is

f(x)=-\frac{1}{3}(x-2)^2+4,

5 0
3 years ago
Tyrone saved 24$ of the 60 that he earned mowing lawns .what percent of his earnings did tyrone save
mezya [45]
If 24 of the 60 were saved then the percent saved is

(24/60) x 100

Let's imagine for a second that all 60 was saved, then 100% of the money would be saved. Which makes sense, because

(60/60) x 100 = 100%

So the amount saved dived by the amount earned all times 100 is the percent saved.
6 0
3 years ago
Gary’s is a small publishing company that publishes math books. The production costs include a one-time cost for editing the boo
sveta [45]
Y=20x -1500, y equals the prophet, x is the number of books, 20 is the money made after taking out the cost of production, 1500 is a cost that only occurs once.
5 0
3 years ago
The coordinates of the verticies of a rectangle are (-2,3), (4,3), (4,-4) and (-2, -4) what are the demensions of the rectangle?
kolbaska11 [484]
Jdushuszvusshsushduys sudbrhr did for fun dbd d d did. B. B u igfuf.
6 0
3 years ago
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