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3 years ago

What is the solution to (-7)=e/3+14

2 answers:

amm18123 years ago

8 0

To work this out, we must use the balancing method - whatever we do to one side, we do exactly the same to the other

     -7 = e/3 + 14
(-14)            (-14)
-7 - 14 = -21

-21 = e/3
(x3)   (x3)
-21 x 3 = -63
-63 = e

e = -63

Charra [1.4K]3 years ago

5 0

-7= e/3+ 14
⇒ -7 -14= e/3
⇒ -21= e/3
⇒ -21* 3= e
⇒ -63= e

Final answer: e= -63~

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3 years ago

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)

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2 years ago

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3 years ago

3. Simplify the following<br>a)[(116)3 x 114]x 1212

Fiesta28 [93]

Answer:

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3 years ago

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