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3 years ago

¿Cuál de los siguientes productos algebraicos es un Binomio Suma por Binomio Diferencia?

Mathematics

1 answer:

Butoxors [25]3 years ago

3 0

The answer is d hope that helps

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Solve the following and explain your steps. Leave your answer in base-exponent form. (3^-2*4^-5*5^0)^-3*(4^-4/3^3)*3^3 please st

Naily [24]

Answer:

$\boxed{2^{\frac{802}{27}} \cdot 3^9}$

Step-by-step explanation:

<u>I will try to give as many details as possible. </u>

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$(3^{-2} \cdot 4^{-5} \cdot 5^0)^{-3} \cdot (4^{-\frac{4}{3^3} })\cdot 3^3$

Note that

$\boxed{a^{-b} = \dfrac{1}{a^b}, a\neq 0 }$

The denominator can't be 0 because it would be undefined.

So, we can solve the expression inside both parentheses.

$\left(\dfrac{1}{3^2} \cdot \dfrac{1}{4^5} \cdot 5^0 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{3^3} } }\right)\cdot 3^3$

Also,

$\boxed{a^{0} = 1, a\neq 0 }$

$\left(\dfrac{1}{9} \cdot \dfrac{1}{1024} \cdot 1 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27$

Note

$\boxed{\dfrac{1}{a} \cdot \dfrac{1}{b}= \frac{1}{ab} , a, b \neq 0}$

$\left(\dfrac{1}{9216} \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27$

$\left(\dfrac{1}{9216} \right)^{-3} \cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)$

$\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)$

$\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)$

Note

$\boxed{\dfrac{1}{\dfrac{1}{a} } = a}$

$9216^3\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)$

$\left(\dfrac{ 9216^3\cdot 27}{4^{\frac{4}{27} } }\right)$

Once

$9216=2^{10}\cdot 3^2 \implies 9216^3=2^{30}\cdot 3^6$

$\boxed{(a \cdot b)^n=a^n \cdot b^n}$

And

$4^{\frac{4}{27}} = 2^{\frac{8}{27}$

We have

$\left(\dfrac{ 2^{30} \cdot 3^6\cdot 27}{2^{\frac{8}{27} } }\right)$

Also, once

$\boxed{\dfrac{c^a}{c^b}=c^{a-b}}$

$2^{30-\frac{8}{27}} \cdot 3^6\cdot 27$

$30-\dfrac{8}{27} = \dfrac{30 \cdot 27}{27}-\dfrac{8}{27} =\dfrac{802}{27}$

$2^{30-\frac{8}{27}} \cdot 3^6\cdot 27 = 2^{\frac{802}{27}} \cdot 3^6 \cdot 3^3$

$2^{\frac{802}{27}} \cdot 3^9$

4 0

3 years ago

Soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of drink a

alekssr [168]

Is there any choices at all for this

7 0

4 years ago

In Juan's coin bank there are nickels (n),

allsm [11]

Answer:

Juan has 32 dimes, 16 nickels and 8 quarters in his coin bank.

Step-by-step explanation:

Since in Juan's coin bank there are nickels (n), dimes (d), and quarters (q), and the number of quarters is one-quarter the number of dimes, and the number of nickels is twice the number of quarters, While the total value of the coins is $ 6.00, to find the number of each type of coin the following calculations must be performed:

Q = 1/4 D

N = 2Q = 1/2 D

D = D

20D + 10N + 5Q = X

20 x 0.10 + 10 x 0.05 + 5 x 0.25 = X

2 + 0.50 + 1.25 = X

3.75 = X

24D + 12N + 6Q = X

24 x 0.10 + 12 x 0.05 + 6 x 0.25 = X

2.40 + 0.60 + 1.50 = X

4.50 = X

32D + 16N + 8Q = X

32 x 0.10 + 16 x 0.05 + 8 x 0.25 = X

3.20 + 0.80 + 2 = X

6 = X

So, Juan has 32 dimes, 16 nickels and 8 quarters in his coin bank.

7 0

3 years ago

What is the circumference of a circle?

Ivahew [28]

Answer:

C The distance around the circle is the circumference

Step-by-step explanation:

For information:

A is the diameter

B is the radius

7 0

3 years ago

Tomas needs to cut a piece of wood for a model airplane he is building. He has four pieces of wood: 5 feet, 4 feet, 6 feet, and

blagie [28]

Answer:

Step-by-step explanation:

Alright, lets get started.

Tomas has four pieces of wood having each length = 5, 4, 6 and 3

The length of wood he needs to cut to make a model airplane = $\sqrt{11}$

Simplifying, it is 3.32 feet long

Means he needs more than 3 feet but less than 4 feet of wood piece.

So, he should select 4 feet length of wood because selcting 3 feet will not fulfilled to make his model and selcting 5 and 6 feet will have more unused wood.

4 feet piece of wood he should cut to have the least amount of unused wood. : Answer

Hope it will help :)

4 0

4 years ago