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zvonat [6]
2 years ago
15

What is the radical form of the expression (2x^4y^5)^3/8

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
8 0

We are given expression: (2x^4y^5)^{3/8}

Let us distribute 3/8 over exponents in parenthesis, we get

(2^{3/8}x^{4\times 3/8}y^{5\times 3/8}) = (2^{3/8}x^{12/8}y^{15/8})

= (2^{3/8}x^{1\frac{4}{8}} y^{1\frac{7}{8}} )

We can get x and y out of the radical because, we get whlole number 1 for x and y exponents for the mixed fractions.

So, we could write it as.

(2^{3/8}x^{1\frac{4}{8}} y^{1\frac{7}{8}} ) = xy(2^{\frac{3}{8} }x^{\frac{4}{8}} y^{\frac{7}{8}} )

Now, we could write inside expression of parenthesis in radical form.

xy\sqrt[8]{2x^{3}x^4y^7}

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Charlize wants to measure the depth of an empty well. She drops a ball from a height of 3 feet into the well
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Answer:

  about 151 feet

Step-by-step explanation:

The height of the ball at a time of 3.1 seconds is given by Charlize's equation as ...

  h(3.1) = -16(3.1)^2 +3 = -150.76 . . . feet

The well is about 151 feet deep.

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<em>Comment on this measurement</em>

The speed of sound is sufficiently slow that it will make a difference in the time Charlize records. She would get a more accurate measurement if she were able to <em>see</em> the ball hit bottom.

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2 years ago
Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where th
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I assume you mean -x^3 + 4x + 3 
so what you need is 4x + 3 > x^3
the only whole number it could be is 2 because 2x2x2 +3 > 2x2x2

4 0
2 years ago
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On september 8, 2004, the genesis spacecraft crashed in the utah desert because its parachute did not open. the 210-kg capsule h
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311km/h = 86.389 m/s 
<span>Initial KE </span>
<span>= 0.5 * 210 * 86.389^2 J </span>

<span>work done by force of ground </span>
<span>= F * 0.81 J </span>

<span>0.5 * 210 * 86.389^2 = 0.81 F </span>

<span>F = 967433.58 N </span>

<span>capsule's weight W= 210 * 9.81 = 2060.1 N </span>

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3. A balloon with a small leak loses 0.5% of its volume each day. If it originally contained 40 liters of gas, what is the volum
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7 0
2 years ago
What is the solution to the system of equations? y = A system of equations. Y equals StartFraction one-third EndFraction minus 1
lara31 [8.8K]

Answer:

(6,-8).

Step-by-step explanation:

We have been given a system of equations. We are asked to solve the given system.

y=\frac{1}{3}x-10...(1)

2x+y=4...(2)

From equation (2), we will get:

y=4-2x...(2)

Upon substituting this value in equation (1), we will get:

4-2x=\frac{1}{3}x-10

Upon multiply by 3 on both side, we will get:

3\cdot 4-3\cdot 2x=3\cdot \frac{1}{3}x-3\cdot 10

12-6x=x-30

12-6x-x=x-x-30

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Upon substituting this in equation (2), we will get:

y=4-2(6)

y=4-12

y=-8

Therefore, the solution for our given system of equations is (6,-8).

4 0
2 years ago
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