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3 years ago

Y= 2•3^2 ÷3 solve for y

Mathematics

2 answers:

natita [175]3 years ago

7 0

Use the Quotient Rule; x^a/x^b = x^a - b

y = 2 × 3^2 - 1

Simplify 2 - 1 to 1

y = 2 × 3^1

Use the Rule of One: x^a = x

y = 2 × 3

Simplify 2 × 3 to 6

Thepotemich [5.8K]3 years ago

4 0

Answer:

y = 6

Step-by-step explanation:

y= 2•3^2 ÷3

y= 2•9 ÷3

y= 18 ÷3

y = 6

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3 years ago

Read 2 more answers

Approximate the change in the volume of a sphere when its radius changes from r= 5ft to r= 5.1ft (v(r)= 3/4 pi r^3)?

leva [86]

Answer:

18.03 cubic feet

Step-by-step explanation:

Hello,

Step 1

find the volume of the sphere when radius= 5 ft

$v(r)= \frac{3}{4} \pi r^3\\v(5)= \frac{3}{4}\pi (5\ ft)^3\\v(5)= \frac{3}{4}\pi *125\ ft^{3} \\v(5)=294.52\ cubic\ feet\\$

Step 2

find the volume of the sphere when radius= 5.1 ft

$v(r)= \frac{3}{4}\pi r^3\\v(5.1)= \frac{3}{4} \pi (5.1\ ft)^3\\v(5.1)= \frac{3}{4}\pi *132.651\ ft^{3} \\v(5.1)=312.551\ cubic\ feet\\\\$

Step 3

Compare the Volumes to find the change

$\frac{v(r_{2})}{v(r_{1})} =\frac{312.551}{294.52} =1.06$

the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)

Now, find the change

$change= {v(r_{2})-{v(r_{1})}} \\change=312.551\ cubic\ feet\ -294.52 cubic feet \\ change=18.031\ cubic\ feet$

change=18.03 cubic feet

Have a great day.

4 0

3 years ago

Identify the terms and like terms in the expression 14 – 8x– 6 - 10x.

grin007 [14]

Answer:

Like terms are similar and terms are different.

Like terms :-

-10
14
-6

They are similar.

Terms :-

-8x²
-10x

One has an exponent and other does not which means they are not like terms and are only terms.

Hope this helps, thank you :) !!

4 0

3 years ago