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Katyanochek1 [597]
3 years ago
7

The volume of air in a balloon is represented by the function v(n) = ne?, where r is the radius of the balloon, in

Mathematics
1 answer:
Sergio [31]3 years ago
7 0

Answer:

When V is composed with r, the composite function is StartFraction 1 Over 48 EndFraction pi t Superscript 6

V(r(6)) shows that the volume is 972π inches cubed when the radius increases to 6 inches.

Step-by-step explanation:

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3 years ago
If the x-intercept (–68, 0), and the y-intercept (0, –34), what is the equation?
stealth61 [152]

y = - \frac{1}{2} x - 34

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 68, 0 ) and (x₂, y₂ ) = (0, - 34 )

m = \frac{-34-0}{0+68} = \frac{-34}{68} = - \frac{1}{2}

the y-intercept = (0, - 34 ) ⇒ c = - 34

y= - \frac{1}{2} x - 34


4 0
2 years ago
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Which is bigger 0.3 or 3/8
maks197457 [2]
3/8 is 0.375, which is bigger than 0.3, so 3/8 is larger.
8 0
3 years ago
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I need the answer to y=2x+7 in a graph and passes through (3,3)
nevsk [136]

The slope-intercept form is y = 2x-3.

<u>Step-by-step explanation</u>:

Given,

  • The equation of the line is y=2x+7.
  • The general equation of the line is in the form y= mx+c.
  • where 'm' represents the slope of the line.

<u>Comparing the given equation with general equation, it can be determined that</u> :

m = 2 and c = 7 (y-intercept).

The given line passes through the point (3,3) which is equal to (x1,y1)

Therefore, x1=3 and y1=3.

Substitute m=2 and the values of (x1,y1) in the slope-intercept form,

The slope-intercept form is (y-y1) = m (x-x1)

(y-3) = 2(x-3)

y = 2x-6+3

y = 2x-3

4 0
3 years ago
Approximately how much principal would need to be placed into an account earning 1.58% interest compounded monthly so that it ha
Natalija [7]

Answer:

The initial investment is $821.58

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $90,597

Number of periods (n)= 25*12= 300

Interest rate (i)= 1.58% = 0.0158

<u>To calculate the initial investment, we need to use the following present value (PV) formula:</u>

PV= FV/(1+i)^n

PV= 90,597 / (1.0158^300)

PV= $821.58

The initial investment is $821.58

5 0
3 years ago
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