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3 years ago

Simplify the expression (1/2y^5)^3(2y^2)^4

Mathematics

1 answer:

nika2105 [10]3 years ago

5 0

Answer:

128

Step-by-step explanation:

(1/2y^5)^3(2y^2)^4

=1/2y^15×2y^8

=1/32,768y×256y

=1×128

=128

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kvasek [131]

m∠FDE = 52°

Solution:

Given data:

DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°

Sum of the adjacent angles in a straight line = 180°

m∠ABF + m∠CBF = 180°

116° + m∠CBF = 180°

m∠CBF = 64°

If CD || BE, then CD || BF.

Hence CD || BE and BE || FD.

Therefore BFCD is a parallelogam.

In parallelogram, Adjacent angles form a linear pair.

m∠CBF + m∠BFD = 180°

64° + m∠BFD = 180°

m∠BFD = 116°

Sum of the adjacent angles in a straight line = 180°

m∠BFD + m∠DFE = 180°

116° + m∠DFE = 180°

m∠DFE = 64°

we know that DE ≅ DF.

In triangle, angles opposite to equal sides are equal.

m∠DFE = m∠DEF

m∠DEF = 64°

sum of all the angles of a triangle = 180°

m∠DFE + m∠DEF + m∠FDE = 180°

64° + 64° + m∠FDE = 180°

m∠FDE = 52°

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Answer:

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Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

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y ----> The total charge in dollars

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=40\ \$/h\\b=\$25$

substitute

$y=40x+25$

This relationship is not proportional, because the line not passes through the origin

therefore

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Washington is 44 mi south of Lawrence. Midland is 63 mi east of Lawrence. How far apart are Washington and Midland? Round your a

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Simplify the expression (1/2y^5)^3(2y^2)^4​

Simplify the expression (1/2y^5)^3(2y^2)^4