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2 years ago

Find the volume of the shape

Mathematics

2 answers:

padilas [110]2 years ago

7 0

Answer:

452.16 units³

Step-by-step explanation:

Volume = $\pi$ r²h

Volume = 3.14 × 6 × 6 × 4

Volume = 452.16 units³

alisha [4.7K]2 years ago

4 0

Answer:

around 452.39

Step-by-step explanation:

1) the equation for it is

$\pi {r}^{2} h$

(pi × r^2 × h

2) you use this formula by plugging in the equation

r=6

h=4

3) after that you just plug it into a calculator ^_^

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Answer the questions please

Drupady [299]

Answer:

4. 988 people

5. a. 7 quarters

b. 6 quarters 2 dimes 1 nickel

c. 5 quarters 5 dimes

d. 4 quarters 7 dimes 1 nickel

1. $65.65, $5.05

2. $7.70, $15.40

3. a. 7 quarters

b. 6 quarters 2 dimes 1 nickel

c. 5 quarters 5 dimes

d. 4 quarters 7 dimes 1 nickel

4. 31 bags

5. $30, $4.50

Step-by-step explanation:

4. take value times percent.

5. think coins

1. find difference then divide by number of days (13)

2. multiply by 1/3 then find difference.

3. think coins

4. find area then divide by 200

5. just break the problem down and go quarter by quarter.

4 0

3 years ago

Simplify this please

Ugo [173]

Answer:

$\frac{12q^{\frac{7}{3}}}{p^{3}}$

Step-by-step explanation:

Here are some rules you need to simplify this expression:

Distribute exponents: When you raise an exponent to another exponent, you multiply the exponents together. This includes exponents that are fractions. $(a^{x})^{n} = a^{xn}$

Negative exponent rule: When an exponent is negative, you can make it positive by making the base a fraction. When the number is apart of a bigger fraction, you can move it to the other side (top/bottom). $a^{-x} = \frac{1}{a^{x}}$ , and to help with this question: $\frac{a^{-x}b}{1} = \frac{b}{a^{x}}$ .

Multiplying exponents with same base: When exponential numbers have the same base, you can combine them by adding their exponents together. $(a^{x})(a^{y}) = a^{x+y}$

Dividing exponents with same base: When exponential numbers have the same base, you can combine them by subtracting the exponents. $\frac{a^{x}}{a^{y}} = a^{x-y}$

Fractional exponents as a radical: When a number has an exponent that is a fraction, the numerator can remain the exponent, and the denominator becomes the index (example, index here ∛ is 3). $a^{\frac{m}{n}} = \sqrt[n]{a^{m}} = (\sqrt[n]{a})^{m}$

$\frac{(8p^{-6} q^{3})^{2/3}}{(27p^{3}q)^{-1/3}}$ Distribute exponent

$=\frac{8^{(2/3)}p^{(-6*2/3)}q^{(3*2/3)}}{27^{(-1/3)}p^{(3*-1/3)}q^{(-1/3)}}$ Simplify each exponent by multiplying

$=\frac{8^{(2/3)}p^{(-4)}q^{(2)}}{27^{(-1/3)}p^{(-1)}q^{(-1/3)}}$ Negative exponent rule

$=\frac{8^{(2/3)}q^{(2)}27^{(1/3)}p^{(1)}q^{(1/3)}}{p^{(4)}}$ Combine the like terms in the numerator with the base "q"

$=\frac{8^{(2/3)}27^{(1/3)}p^{(1)}q^{(2)}q^{(1/3)}}{p^{(4)}}$ Rearranged for you to see the like terms

$=\frac{8^{(2/3)}27^{(1/3)}p^{(1)}q^{(2)+(1/3)}}{p^{(4)}}$ Multiplying exponents with same base

$=\frac{8^{(2/3)}27^{(1/3)}p^{(1)}q^{(7/3)}}{p^{(4)}}$ 2 + 1/3 = 7/3

$=\frac{\sqrt[3]{8^{2}}\sqrt[3]{27}p\sqrt[3]{q^{7}}}{p^{4}}$ Fractional exponents as radical form

$=\frac{(\sqrt[3]{64})(3)(p)(q^{\frac{7}{3}})}{p^{4}}$ Simplified cubes. Wrote brackets to lessen confusion. Notice the radical of a variable can't be simplified.

$=\frac{(4)(3)(p)(q^{\frac{7}{3}})}{p^{4}}$ Multiply 4 and 3

$=\frac{12pq^{\frac{7}{3}}}{p^{4}}$ Dividing exponents with same base

$=12p^{(1-4)}q^{\frac{7}{3}}$ Subtract the exponent of 'p'

$=12p^{(-3)}q^{\frac{7}{3}}$ Negative exponent rule

$=\frac{12q^{\frac{7}{3}}}{p^{3}}$ Final answer

Here is a version in pen if the steps are hard to see.

5 0

3 years ago

How can you tell if 2 functions are inverses of eachother

HACTEHA [7]

Remember, if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions. But, we need a way to check without the graphs, because we won't always know what the graphs look like! then f(x) and g(x) are inverse functions.

7 0

3 years ago

How is finding the factors of a number different from finding the prime factorization of a number.

mario62 [17]

When finding factors of a number, you are just finding numbers that can factor into it. When finding the prime factorization, you are narrowing down the factors to the smallest factored numbers.

Ex:   40 •The bolded numbers are the most simplified factors.
/ \
   8 5
/ \
4 2 The prime factorization of 40 is 5 x 2^3.
  / \
2 2

6 0

3 years ago

I NEED HELP WITH THIS ASAP PLEASEEE!!!!

Bingel [31]

Answer:

1. Marcia

2. (I do not understand what this question is asking)

3. Marcia's estimation is closer

4. 690 people per year

Step-by-step explanation:

1. Marcia's estimation has a greater number of people because he estimated 600 people per year, while Adam estimated 2% of 12,500 (250 people per year).

2. (I do not understand what this question is asking)

3. marcias guess was 600 (600x50+12,500 = 42,500. 42,500 - 35,400 = 7,100) while Adam's guess was 250 per year (250x50+12,500 = 10,400). Therefore, Marcia's guess was closer to 35,400.

4. If Marcia adjusted her answer so that the population in Burbville was ACTUALLY going to be 34,500, she would need to adjust her estimation to 690 people per year.

Hope this helps! So sorry I couldn't understand question 2!

7 0

2 years ago