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d1i1m1o1n [39]
2 years ago
8

Rewrite the rational exponent as a radical (5∧3/4)∧2/3

Mathematics
1 answer:
pashok25 [27]2 years ago
8 0

Answer:

\sqrt{5}

Step-by-step explanation:

Since we can see that (5^{\frac{3}{4} } )^{\frac{2}{3} } has a parentheses, the exponents are being multiplied by each other.. To find their product, just multiply across..

3*2 = 6/4*3 = 12. So we have 6/12 which can be simplified to just 1/2.

So now we have 5^{\frac{1}{2} } which is equal to \sqrt{5}..

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Ron's factory is currently producing 30 chairs in a day. how many chairs will be produced if production is to be increased by 13
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Your answer is 39 chairs per day.

\frac { 130 }{ 100 } \cdot 30\\ \\ =\frac { 3900 }{ 100 } \\ \\ =\frac { 39\cdot 100 }{ 100 } \\ \\ =39
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3 years ago
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if someone apply to 5 different colleges and 4 different majors how many different scenarios are there
svetoff [14.1K]

Answer:

He can apply for 4 different majors at each college giving

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Why is 12 inches 1 foot a conversion factor ?
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I have no better answer than simply, because there are 12 inches in a foot.

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3 years ago
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6 0
3 years ago
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Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear
AlladinOne [14]

Answer:

x=\frac{83}{50}

Step-by-step explanation:

we know that

If the three points are collinear

then

m_A_B=m_A_C

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope AB

we have

A(1,\frac{2}{3}),B(x,-\frac{4}{5})

substitute in the formula

m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}

m_A_B=\frac{\frac{-12-10}{15}}{x-1}

m_A_B=-\frac{22}{15(x-1)}

step 2

Find the slope AC

we have

A(1,\frac{2}{3}),C(-\frac{1}{2},4)

substitute in the formula

m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}

m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}

m_A_C=-\frac{20}{9}

step 3

Equate the slopes

m_A_B=m_A_C

-\frac{22}{15(x-1)}=-\frac{20}{9}

solve for x

15(x-1)20=22(9)

300x-300=198

300x=198+300

300x=498

x=\frac{498}{300}

simplify

x=\frac{83}{50}

8 0
3 years ago
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