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2 years ago

The radius of a sphere-shaped balloon increases at a rate of 2 centimeters (cm) per second. If the surface area of

Mathematics

1 answer:

djverab [1.8K]2 years ago

5 0

Answer:

7 seconds

Step-by-step explanation:

The radius of a sphere-shaped balloon increases at a rate of 2 centimeters (cm) per second.

surface area of the completely inflated balloon is 784 cm²

SA=4r²

784= 4r²

784/4= r²

196 = r²

14cm = r

Yhe radius of the complete inflated balloon is 14cm

If the ball inflate at the rate of 2 cm per seconds

Then it took 14/2 = 7 seconds to inflate fully

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PLS HELP ME!!! which matrix represents the system of equations below {8x-9y+13z=11

Finger [1]

Answer:

The answer is below

Step-by-step explanation:

The system of equations:

8x-9y+13z=11

-8x-5y+5z=15

3x+4y-8z=-10

The equations can be represented in matrix form as:

AX = B

X = A⁻¹B

Therefore:

$\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] ^{-1}\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\$

$\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}\frac{1}{19} &-\frac{1}{19}&\frac{1}{19}\\-\frac{49}{380}&-\frac{103}{380}&-\frac{36}{95} \\-\frac{17}{380}&-\frac{69}{380}&-\frac{28}{95} \end{array}\right] \left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-0.74\\-1.69\\0.13\end{array}\right] \\$

4 0

2 years ago

Pete dad usually deposits $25 into his bank account every week.for the next weeks he wants to deposit more than the usually $25

Burka [1]

Answer:

The answer is "8(25+x)>500;x>37.50".

Step-by-step explanation:

Please find the complete question in the attached file.

$\to 8(25+x)>500\\\\\to 200 +8x>500\\\\\to 8x> 300\\\\\to x> \frac{300}{8}\\\\\to x> 37.50$

That's why above given choice is correct.

3 0

2 years ago

Find the product of two numbers whose sum is 11 and difference is 3.

Nuetrik [128]

Answer: I think it’s A - 28

Step by step:

For the sum : if you add 11 + 17 it gives you 28.

For the division: if you divided 28 by 3 it would equal 9.3.

So I think it’s 28 I’m not so sure

5 0

2 years ago

If the volume of the solid below is 84 cubic inches, what is the height of the solid?

frozen [14]

Height = Volume / area of base

Area of base = 3.5 x 4 = 14 sq. inches.

Height = 84 / 14

Height = 6 inches.

3 0

2 years ago

Factor 3d^2 - d - 24

Kipish [7]

Using the AC method for factoring.....

you should get the answer of...

(3d+8)(d-3)

5 0

2 years ago