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djverab [1.8K]
3 years ago
11

Which ordered pairs lie on the graph of the exponential function f(x)=4(5)2x?

Mathematics
1 answer:
Katen [24]3 years ago
4 0
(-1, 4/25) and (2,2500)

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The curved part of this figures is a semicircle.
vovangra [49]

First we join the two endpoints of the semicircle and that will be the diameter.

And to find the length of the diameter, we have to use distance formula, with one endpoint (3,2) and the other is (-4,-2) .

SO we get

Diameter = \sqrt{ {-4-3)^2 +(-2-2)^2 } = \sqrt{49+16} = \sqrt 65

Radius is half of diameter, so the radius is

Radius= \frac{ \sqrt{65}}{2}

Formula of area of circle is

Area = \pi r^2

So the area of semicircle is

=(1/2) \pi ( \frac{ \sqrt{65}}{2})^2 = 8.125 \pi \square \units

And the other figure is a triangle, with

Base = 3-(-4)=3+4=7 \\ height = 2-(-2) = 2+2 =4

Area = (1/2)*4*7= 14 square units

Therefore, total area is the sum of area of semicircle and area of triangle,

And we will get

Total \ area= 14 + 8.125 \pi \ units^2

Correct option is the third option .

3 0
4 years ago
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Can someone please help me!!! I need help, no links !!!
Sholpan [36]
Give me a few and I will
4 0
3 years ago
Help me it due 30 minutes <br> Estimate each product <br><br> 1/5x22
Alchen [17]

Answer:

I say its 4.4

Step-by-step explanation:

3 0
3 years ago
Will give brainliest and 100 points
____ [38]

Answer:

Kayla plays on average 0.2 more chess games than Becker

Step-by-step explanation:

The first thing we must do is calculate the mean of each one.

Becker:

(5 + 2 + 4 + 1 + 1 + 4 + 5 + 3 + 2 + 1) / 10 = 2.8

Kayla:

(2 + 3 + 1 + 1 + 4 + 1 + 5 + 3 + 5 + 5) / 10 = 3

if we subtract these averages, we have to:

3 - 2.8 = 0.2

which means that Kayla plays on average 0.2 more chess games than Becker. Since it is not even a complete game, the difference between the two is very small and almost irrelevant.

7 0
3 years ago
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The cost to a rent paddleboat at the city park includes an initial fee of $7.00, plus $3.50 per hour. Which equation models the
Aneli [31]
The equation would be y=7+3.5x
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