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nadya68 [22]
3 years ago
5

Please help!! 25 points!!

Mathematics
1 answer:
Archy [21]3 years ago
5 0

9514 1404 393

Answer:

  (a)  a^4/(4b^2)

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

__

Your expression simplifies as follows.

  \dfrac{3a^2b^{-4}}{12a^{-2}b^{-2}}=\dfrac{3}{12}\cdot\dfrac{a^{2-(-2)}}{b^{-2-(-4)}}=\boxed{\dfrac{a^4}{4b^2}}

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!!!The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the​ cylinder?
kompoz [17]

Answer:

The answer is

<h2>27 cm</h2>

Step-by-step explanation:

Volume of a cylinder is given by

<h3>V = πr²h</h3>

where

h is the height

r is the radius

V is the volume

Since we are finding the height

h =  \frac{V}{\pi  {r}^{2} }

From the question

V = 675π cm³

r = 5 cm

Substitute the values into the formula and solve for the height

That's

h =  \frac{675\pi}{ {5}^{2}\pi }  \\  =  \frac{675\pi}{25\pi}  \\  =  \frac{675}{25}

We have the final answer as

27 cm

Hope this helps you

7 0
3 years ago
4. Jean borrows $12,000 for 8 years at 6% interest. What is the approximate cost of
adelina 88 [10]
Answer: 5760
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7 0
3 years ago
[09.01]<br><br> Identify the domain of the equation y=x2 - 6x + 1. (1 point)
Lena [83]

Answer:

All real numbers.

Step-by-step explanation:

As there are no restrictions on the values of x, the domain is all real numbers.

8 0
4 years ago
Solve the system using substitution.<br> 6x+8y=30 y=1/2x
sergij07 [2.7K]

Answer:

  • (3, 1.5)

Step-by-step explanation:

<u>Given the system: </u>

  • 6x + 8y = 30
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<u>Substitute y and solve for x:</u>

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<u>Find y:</u>

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Solution is (3, 1.5)

8 0
3 years ago
the value of the 8th term is 78. The sequence is increasing by 10 at each step. Explicit equation: y=10x - 2, Recursive now = pr
Likurg_2 [28]

In this question, it is given that the eighth term is 78 and the explicit formula is

y=10x-2

And the recursive formula is

now = previous \ term +10

And we have to find the 20th term . And for that, we put 20 for x in the explicit formula. That is

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Therefore on using the explicit formula, we will get 198 as the 20th term .

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