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3 years ago

Select the correct expanded form for (Two-thirds) Superscript 4.

Mathematics

2 answers:

svetlana [45]3 years ago

6 0

The answer would be A., (2/3)^4 just means the number in the parentheses is multiplied by the number beside as in the example 4

Nana76 [90]3 years ago

5 0

Answer:

Step-by-step explanation:

The exponent 4 means it is 2/3 multiplied by itself 4 times.

So it would be 2/3*2/3*2/3*2/3

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The following are the ages (years) of 5 people in a room:

goblinko [34]

Answer:

<em> 3 years old </em>

Step-by-step explanation:

( 21 + 24 + 18 + 15 + 15 + x ) / 6 = 16

93 + x = 96

x = 3

<em>The person who entered the room is 3 years old.</em>

7 0

3 years ago

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Find the volume of a sphere, to the nearest tenth, that has a radius of 7cm

Natali [406]

The formula of a volume of a sphere with radius R:

$V=\dfrac{4}{3}\pi R^3$

We have R = 7cm. Substitute:

$V=\dfrac{4}{3}\pi\cdot7^3=\dfrac{4}{3}\pi\cdot343=\dfrac{1372\pi}{3}\ cm^3$

$\dfrac{1372\pi}{3}\approx1436.0\ cm^3$

<h3>Answer: V = 1436.0 cm³</h3>

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3 years ago

For the given line segment, write the equation of the perpendicular bisector.

natta225 [31]

Answer:

$y=-0.8x-4.7$

Step-by-step explanation:

Let

$A(-6,-4), B(-2,1)$

we know that

The perpendicular bisector pass through the midpoint of AB

step 1

Find the midpoint AB

$M=((-6-2)/2,(-4+1)/2)$

$M=(-4,-1.5)$

step 2

Find the slope of the given line AB

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

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

substitute

$m=\frac{1+4}{-2+6}$

$m=\frac{5}{4}$

step 3

Find the slope of the perpendicular bisector

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

$m1*m2=-1$

we have

$m1=\frac{5}{4}$ ----> slope of the given line

substitute in the formula

$\frac{5}{4}*m2=-1$

$m2=-\frac{4}{5}=-0.8$

step 4

Find the equation of the perpendicular bisector

we know that

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

we have

$m=-0.8$

$M=(-4,-1.5)$

substitute

$y+1.5=-0.8(x+4)$

$y=-0.8x-3.2-1.5$

$y=-0.8x-4.7$

3 0

3 years ago

Anyone know how to find the missing length ?

Svet_ta [14]

Answer:

so i'm assuming you'd use Pythagoras:

so 15^2-12^2=81

square root it=9 which is I

to find T we do 41^2-9^2=1600

square root that is 40 so T=40

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3 years ago

Dividing fractions 1/8 / 1/3

agasfer [191]

1/8×3/1=3/8
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8 0

4 years ago

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