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2 years ago

3x3x3x3x3 to the power of 2 as a single power

Mathematics

1 answer:

Kazeer [188]2 years ago

8 0

Answer:

3^5

Step-by-step explanation:

3x3x3x3x3

There are 5 3's multiplied together

The base is the number and the exponent is the number of times it is multiplied together

3^5

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Jake has two pet guinea pigs named fluffy and scruffy. Fluffy is8 1/8 inches long. Scruffy is 10 1/4 inches long. How much longe

miss Akunina [59]

Answer:

Scruffy is $2\frac{1}{8}$ inches longer than Fluffy.

Step-by-step explanation:

Length of Scruffy = $10\frac{1}{4}$ inches

Length of Fluffy = $8\frac{1}{8}$ inches

We have to calculate how much Scruffy is longer than Fluffy.

Difference of their lengths = $10\frac{1}{4}-8\frac{1}{8}$

= (10 - 8) + $(\frac{1}{4}-\frac{1}{8})$

= 2 + $(\frac{2-1}{8})$

= 2 + $\frac{1}{8}$

= $2\frac{1}{8}$ inches

Therefore, Scruffy is $2\frac{1}{8}$ inches longer than Fluffy.

5 0

2 years ago

2a+3b=5? What is that someone please help ASAP !!

AnnyKZ [126]

Answer:

subtract 2a + 3b - 3b =5 - 3b

simply 2a = 5 -3b

divide both sides by 2 . 2a over 2 = 5 over 2 - 3b over 2

simply a= 5- 3b over 2

5 0

2 years ago

(HURRY! I'M BEING TIMED)Write the partial fraction decomposition of the rational expression.

Aleonysh [2.5K]

Answer:

The partial fraction decomposition is $\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{50}{x + 1}+\frac{-29}{\left(x + 1\right)^{2}}+\frac{-54}{x + 2}$ .

Step-by-step explanation:

Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.

To find the partial fraction decomposition of $\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}$ :

First, the form of the partial fraction decomposition is

$\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{A}{x + 1}+\frac{B}{\left(x + 1\right)^{2}}+\frac{C}{x + 2}$

Write the right-hand side as a single fraction:

$\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{\left(x + 1\right)^{2} C + \left(x + 1\right) \left(x + 2\right) A + \left(x + 2\right) B}{\left(x + 1\right)^{2} \left(x + 2\right)}$