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lesya [120]
3 years ago
5

Substitute r=3 and h=5 into the formula V=piR^2h then evaluate

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
7 0

V=\pi R^2h

It's the formula of a volume of a cylinder :)

Put the values of r = 3 and h = 5 to the formula:

V=\pi\cdot3^2\cdot5=\pi\cdot9\cdot5=45\pi

nikitadnepr [17]3 years ago
4 0

To evaluate when plugging in numerical values for variables, simply put the numerical values in the place of the corresponding variables:

V = \pi \cdot 3^2 \cdot 5

\boxed{V = 45\pi \approx 141.37}

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Using the following conversions between the metric and U.S. systems, convert the measurement. Round your answer to 6 decimal pla
valina [46]

Answer:

  23,128.56 qt

Step-by-step explanation:

We need to add the conversion from L to qt:

  1 L = 0.26 gal = 0.26(4 qt) = 1.04 qt

Multiplying by 22239 L, we have ...

  22,239 L = 23,128.56 qt

_____

<em>Comment on the answer</em>

The conversion factor given is good for 2 significant digits, so the answer would be appropriately rounded to 23,000 qt. The real conversion is to 23,496.519025 quarts when rounded to 6 decimal places.

3 0
3 years ago
What is the solution to the equation? 4x - 8 = 16<br>need this at least by tomorrow!<br>thank you!​
Gelneren [198K]

Answer:

x = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

4x - 8 = 16

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 8 to both sides:                    4x = 24
  2. Divide 4 on both sides:               x = 6

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                   4(6) - 8 = 16
  2. Multiply:                              24 - 8 = 16
  3. Subtract:                             16 = 16

Here we see that 16 does indeed equal 16.

∴ x = 6 is the solution to the equation.

5 0
3 years ago
Read 2 more answers
The quality assurance engineer of a receiving-sets manufacturer inspects receiving-sets in lots of 50. He selects 4 of the 50 re
Mariana [72]

Answer:

0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

Step-by-step explanation:

Sets are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Lots of 50 means that N = 50

5 are defective, which means that k = 5

4 are selected, which means that n = 4

Find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,50,4,5) = \frac{C_{5,2}*C_{45,2}}{C_{50,4}} = 0.0430

0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

4 0
3 years ago
Please help me thank u so much
Jet001 [13]

Answer:

\frac{3}{8} fraction  \: of \: geckos

\frac{3}{8}  \times 80 = 30 \: geckos

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3 years ago
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Megan has $10,000 to invest for 5 years and she found an
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It is y- that means a
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