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3 years ago

Please help!!!! i will give brainliest

Mathematics

1 answer:

FromTheMoon [43]3 years ago

7 0

Answer:

The volume of a cylinder:

$V \approx 150.796$ $ft^3$

Step-by-step explanation:

To find the volume of a cylinder, you need the this formula:

$V = \pi r^2h$

-Use the given height and radius for the formula:

$V = \pi 4^2 3$

-Then, solve the formula:

$V = \pi \times 4^2 \times 3$

$V = \pi \times 16 \times 3$

$V = \pi \times 48$

$V = 48\pi \approx 150.796$

So, the volume of a cylinder is approximately $150.796$ $ft^3$ .

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Skye made a deposit of $625 into an account that earns 4% simple interest for 6 years. How much did Skye earn in interest at the

tatuchka [14]

Answer:

She will earn 150$

Step-by-step explanation:

4% = 0.04

0.04 x $625 = 25

Now we divide 25 by the number of years, which is 6.

6 x 25 = 150$

Therefore, Skye earns 150$ from interest over the course of 6 years.

5 0

2 years ago

HELP!!!

vladimir1956 [14]

Create a conversion factor from "<span>There are 6.02 × 10^23 atoms in 1 gram of hydrogen:"

6.02*10^23 atoms
-------------------------
1 gram

Then mult. 800 grams by this conversion factor:

</span>6.02*10^23 atoms 800 grams
------------------------- * ----------------
1 gram 1

This comes out to 4816*10^23 atoms, which, in scientific notation, is

4.816*10^26 atoms.

3 0

3 years ago

Read 2 more answers

Vincent works 8 hours a day for 5 days. How much does he earn at the rate of $.97 per hour?

Tresset [83]

Answer:

$38.8

Step-by-step explanation:

First, find how much money he gets paid in a day. Multiply 8 x .97, which equals $7.76. Then, multiply $7.76 x 5 to see how much he gets paid in 5 days. $7.76 x 5= $38.8

Hope this helps!

6 0

3 years ago

Read 2 more answers

Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal

tigry1 [53]

Answer:

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

The mean values are 20, 15, and 30 min, respectively:

This means that $\mu = 20 + 15 + 30 = 65$

The standard deviations are 1, 2, and 1.5 min, respectively.

This means that $\sigma = \sqrt{1^2 + 2^2 + 1.5^2} = 2.6926$

What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?

Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{60 - 65}{2.6926}$

$Z = -1.86$

$Z = -1.86$ has a pvalue of 0.0314

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

7 0

2 years ago

(PLESE HELP) Factor the following expression. Simplify your answer.

mars1129 [50]

The factor of the expression $5p(p + 2)^{\frac{2}{3} } + 4(p + 2)^{\frac{1}{3} }$ is $(p + 2)^{\frac{2}{3} } (5p^{3} + 10p^{2} + 20p + 4)$

To answer the question, we need to know what factorization is

<h3>What is factorization?</h3>

Factorization is the process of breaking down an expressing into a simpler form containing its factors.

Since

$5p(p + 2)^{\frac{2}{3} } + 4(p + 2)^{\frac{1}{3} }$

Since $(p + 2)^{\frac{1}{3} }$ is common, we factor it out. So, we have

$(p + 2)^{\frac{2}{3} } (5p(p + 2)^{2} + 4)$

Expanding the bracket, we have

$(p + 2)^{\frac{2}{3} } (5p(p^{2} + 2p + 4) + 4) = (p + 2)^{\frac{2}{3} } (5p^{3} + 10p^{2} + 20p + 4)$

So, the factor of the expression $5p(p + 2)^{\frac{2}{3} } + 4(p + 2)^{\frac{1}{3} }$ is $(p + 2)^{\frac{2}{3} } (5p^{3} + 10p^{2} + 20p + 4)$

Learn more about factorization here:

brainly.com/question/11579257

#SPJ1

8 0

2 years ago