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madreJ [45]
3 years ago
11

5√-32 simplifyhelp!​

Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0

Answer:

<h2>-2</h2>

Step-by-step explanation:

\sqrt[n]{a}=b\iff b^n=a\\\\\sqrt[n]{a^n}=a\\\\\sqrt[5]{-a}=-\sqrt[5]{a}\\\\========================\\\\\sqrt[5]{-32}=\sqrt[5]{-2^5}=-\sqrt[5]{2^5}=-2

\text{If is}\ 5\sqrt{-32},\ \text{then:}\\\\5\sqrt{-32}=5\sqrt{(16)(2)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=5\cdot\sqrt{16}\cdot\sqrt2\cdot\sqrt{-1}\qquad\text{use}\ i=\sqrt{-1}\\\\=5\cdot4\cdot\sqrt2\cdot i=20\sqrt2\ i

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A 100 inch strip of sheet metal starting out 16 inches wide is to be made into a small open trough (open top and ends) by turnin
daser333 [38]

Answer:

4 inches should be turned up on both sides.

Step-by-step explanation:

In order to find this, create a situation in which we give the amount turned up on each side as x. Then give the amount that isn't turned up as 16 - 2x (since 2x is the amount turned up). Now we can find the area by multiplying the 3 measurements.

100 * x * (16 - 2x) = MAX

100 * (16x - 2x^2) = MAX

-200x^2 + 1600x = MAX

Now that we have a quadratic function, we can find the maximum value of x by using the vertex formula for x values (-b/2a).

x = -b/2a

x = -1600/2(-200)

x = -1600/-400

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3 years ago
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8 0
3 years ago
.<br> Choose the description of the graph of the equation x = -8.
pickupchik [31]
The description should be a vertical line on the negative side on the grid and the vertical line should be placed on the negative 8 on the x axis.

3 0
3 years ago
Read 2 more answers
Please answer this question and thank you for your help
lions [1.4K]
The correct anwser is C.) (2,4)
5 0
4 years ago
an investor received $1400 interest per annum from a sum of money, with part of it invested at 10% and the remainder at 7% simpl
Airida [17]

Answer:


Step-by-step explanation:

let x be one part of the money invested.

let y be the other part of the money invested.

x *(10/100) -- amount on 10% of interest per annum

y*(7/100)- amount invested on 7% of interest per annum

x *(10/100) + y*(7/100) =1400

on simplifying it

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On interchanging the interest rate on x amount and y amount of the investor

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on solving equation (1) and (2) we get

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y=10000

and x=7000

So our total amount invested is 17000


3 0
4 years ago
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