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Nana76 [90]
2 years ago
12

Terry is filling spherical water balloons with a faucet that puts out 100cm^3 of water per second. At that rate, it takes Terry

6 seconds to fill a balloon.
What is the radius of a filled balloon?
Round to the nearest centimeter.
Mathematics
1 answer:
ioda2 years ago
6 0

Answer:

To the nearest centimeter

Radius= 5 cm

Step-by-step explanation:

Rate of filling balloon= 100cm³/s

Time to feel the balloon= 6 s

Volume of the filed balloon

= Rate*time

= 100*6

= 600 cm³

Volume of balloon= 4/3πr³

Volume of balloon=600cm³

600= 4/3πr³

(600*3)/4π= r³

1800/4π= r³

450/π= r³

143.239 = r³

5.232= r

To the nearest centimeter

Radius= 5 cm

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To solve for the confidence interval for the true average percentage elongation, we use the z statistic. The formula for confidence interval is given as:

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where,

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From the standard distribution tables, the value of z at 95% confidence interval is:

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How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

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  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

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To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

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Replacing that in the other equation:

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So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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