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yarga [219]
3 years ago
7

Which is the solution to the inequality |x-4|<3

Mathematics
2 answers:
pishuonlain [190]3 years ago
8 0

Answer:

\large\boxed{1

Step-by-step explanation:

|x-4|

Marat540 [252]3 years ago
3 0

you have to make a negative and positive equation for this situation

x-4<3 and x+4<3

for the first equation you have to add 4 to both sides to get x<7

for the second equation you have to subtract 4 from both sides to get x<-1

hope this helps

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You are choosing between two mugs. One has a base that is 5.5 inches in diameter and a height of 3 inches. The other has a base
professor190 [17]

We should choose mug 1 having volume of  71.24 inch³ ,with diameter 5.5 inches and height 3 inches holds the most !

<u>Step-by-step explanation:</u>

We have 2 mugs, One has a base that is 5.5 inches in diameter and a height of 3 inches. The other has a base of 4.5 inches in diameter and a height of 4 inches. Basically, mugs are cylinders so we will consider 2 cylinders .

To find which one holds the most we are supposed to find volume of both ,the one with maximum volume holds the most.

<u>Part 1: </u>

volume of cylinder 1 (V_{1})= πr₁²h₁ ,

r₁ = radius of cylinder ⇒ \frac{\text {diameter}}{2}=\frac{5.5}{2}=2.75 \text { inches }

h₁ = height of cylinder ⇒  3 inches

∴ V_{1} = πr₁²h₁

⇒ 3.14×( 2.75 )²×3 ⇒ 71.24 inch³

<u>Part 2:</u>

volume of cylinder 2 ( V_{2} )= πr₂²h₂

r₂ = radius of cylinder ⇒ \frac{\text {diameter}}{2}=\frac{4.5}{2}=2.25 \text { inches }

h₂ = height of cylinder ⇒  4 inches

∴ V_{2} = πr₂²h₂

⇒ 3.14×( 2.25 )²×4 ⇒ 63.59 inch³

∵ V_{1} ( 71.24 inch³ ) > V_{2} ( 63.59 inch³ ), mug 1 with diameter 5.5 inches and height 3 inches holds the most.

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3 years ago
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Shkiper50 [21]

Answer:

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Step-by-step explanation:

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The mayor surveyed 1000 voters to see if they approve of the job she's doing, what is the population?
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Answer:

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Step-by-step explanation:

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Student body elections are coming up and there are a lot of options. There are 3 candidates for president, 4 for secretary, and
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Answer:

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Step-by-step explanation:

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