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Bezzdna [24]
2 years ago
9

Question

Mathematics
1 answer:
rodikova [14]2 years ago
7 0

Answer:

Volume = 11488.21

Area = 2461.76

Step-by-step explanation:

Given

Radius, r = 14\ in

Shape: Sphere

Solving (a): The Volume

This is calculated as:

Volume = \frac{4}{3}\pi r^3

Take \pi as 3.14 and substitute 14 for r

Volume = \frac{4}{3} * 3.14 * 14^3

Volume = \frac{4}{3} * 3.14 * 2744

Volume = \frac{4 * 3.14 * 2744}{3}

Volume = \frac{34464.64}{3}

Volume = 11488.21

Solving (b): The Surface Area

This is calculated as follows:

Area = 4\pi r^2

Take \pi as 3.14 and substitute 14 for r

Area = 4 * 3.14 * 14^2

Area = 4 * 3.14 * 196

Area = 2461.76

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i think is b

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MODELING REAL LIFE The formula K = C + 273.15 converts temperatures from Celsius C to Kelvin K.
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a. 473.15

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2 years ago
Find the solution to the system of equations -3x-9y=18 4x+3y=12
chubhunter [2.5K]

Answer:

(6,-4)

Step-by-step explanation:

-3x-9y = 18 (equation 1)

4x+3y = 12 (equation 2)

multiply equation 2 by 3, and add it to equation 2

-3x-9y = 18

12x+9y = 36

-----------------

X's cancel out

9x = 54

Divide both sides by 9

x = 6

Plug in 6 for x in any of the original equations

(Plugging into Equation 2)

4(6)+3y = 12       Multiply 4(6)

24+3y = 12         Subtract 24 from both sides

3y = -12              Divide 3 on both sides

y = -4

Therefore the solution is (6,-4).

6 0
3 years ago
If g(x) = 3x + 8, find g-1(4)
arsen [322]

Answer:

\frac{-4}{3}=g-1(4)

Step-by-step explanation:

x=3y+8   --->   y=\frac{x-8}{3}

y=\frac{(4)-8}{3}

\frac{-4}{3}

4 0
2 years ago
5STARS/BRAINLIEST TO CORRECT ANSWER
Natalija [7]
Your answer is the second option, -3, -6, -12, etc.

The information we are given tells us that a1 = -3 and an = 2 × a(n - 1). This means that if we want to find the value of a2, we just need to substitute -3 into the equation:

a2 = 2 × a1 = 2 × -3 = -6

And then to find a3, we substitute in a2, which in this case is -6, so:

a3 = 2 × a2 = 2 × -6 = -12

The only option with the first 3 terms as -3, -6, -12 is the second option, so that is the answer.

I hope this helps!
5 0
3 years ago
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