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monitta
3 years ago
6

Simplify the expression.(1/4)^(-3/2)Please show how to do the problem.

Mathematics
1 answer:
Vlad [161]3 years ago
3 0
Alright, so since it's to the negative power we essentially have 1/(1/4^(3/2)). After that, we find (1/4)^3=1^3/4^3=1/64 and find the square root of that, which is (sqrt1)/(sqrt64)=1/8. Since the answer is 1/(1/8), we get the answer to be 8
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I have to get this so I pass help plz
pshichka [43]

Answer:

\boxed{\sf x=-2}

\boxed{\sf y=-4}

Step-by-step explanation:

<u>First, Let's  solve for x in -2x+2y=-4:</u>

\sf -2x+2y=-4

<u>Subtract 2y from both sides:</u>

\sf -2x+2y-2y=-4-2y

\sf -2x=-4-2y

<u>Divide both sides by -2:</u>

\sf \cfrac{-2x}{-2}=-\cfrac{4}{-2}-\cfrac{2y}{-2}

\bold{ x=y+2}

<u>Now, we'll substitute x=y+2 to 3x+3y=-18:</u>

\sf 3x+3y=-18

→ let x=2+y

\sf 3\bold{(2+y)}+3y=-18

<u>Simplify:</u>

\sf 6+6y=-18

<u>Now, let's solve for y in 6+6y=-18</u>

\sf 6+6y=-18

<u>Subtract 6 from both sides:</u>

\sf 6+6y-6=-18-6

\sf 6y=-24

<u>Divide both sides by 6:</u>

\sf \cfrac{6y}{6}=\cfrac{-24}{6}

\bold{ y=-4}

<u>Now, substitute y=-4 into x=2+y:</u>

\sf x=2+y

→ let y = -4

\sf x=2+\bold{-4}

\bold{x=-2}

Therefore, x=-2 and y=-4.

<u>_____________________________________</u>

5 0
2 years ago
The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data ar
laiz [17]

Answer:

Step-by-step explanation:

5 0
3 years ago
A regular hexagon is inscribed in a circle as shown determine the measure of FE
Ostrovityanka [42]
The complete question in the attached figure

we know that
1) <span>The triangles that are formed in the hexagon by joining all the vertices with the center of the hexagon are all equilateral and are equal in size
therefore
the radius of the circle is equals to the length side of the regular hexagon
FE=BP--------> FE=6 cm

the answer is
FE=6 cm </span>

3 0
3 years ago
Read 2 more answers
Alayna worked 44 hours last week. Her hourly rate is $9.00. Alayna’s gross pay for last week was $
Leni [432]

Answer:

$396

Step-by-step explanation:

Alayna's hourly rate (or pay per hour) is $9.

She worked 44 hours in total last week. To solve, multiply 44 with 9

44 x 9 = $396

Alayna's gross pay for last week was $396.

~

6 0
3 years ago
Read 2 more answers
A scientist began a study with a sample of 1,500 bacteria. He noticed that
dedylja [7]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
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