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3 years ago

Five fewer than x is at most eighteen. What is the solution set for x?

Mathematics

2 answers:

Colt1911 [192]3 years ago

6 0

Write it out as an equation
x-5 <= 18
Then move the 5 to the other side by adding
x <= 23

natita [175]3 years ago

5 0

X - 5 ≤ 18 , solve for x

Add 5 on both sides
x - 5 + 5 ≤ 18 + 5

Simplify
x ≤ 23

Answer
x ≤ 23

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What is the volume of cylinder B?

timama [110]

Step-by-step explanation:

Height of the cylinder A(h1)=5cm

CSA of cylinder A(CSA1)=18cm^2

Height of the cylinder B (h2)=10cm

CSA of cylinder B (CSA)=?

Since cylinder A and B are similar,

h1=xh2

or,5cm=x*10cm

or,x=1/2

Similarly,

CSA1=xCSA2

or,18cm^2=1/2*CSA2

or,CSA2=36cm^2

We khow that,

Volume of cylinder B (V2)= CSA2 * h2

=36cm^2*10cm

=36cm^3

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3 years ago

49/63 reduced fraction

marin [14]

49 / 7 = 7
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7/9

3 0

3 years ago

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The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth

Lubov Fominskaja [6]

Answer:

$\frac{128\pi}{3}$ cubic units

Step-by-step explanation:

We are given that a region bounded by a curves $x=(y-7)^2$

x=4 and about y=5

We have to find the value of volume of the resulting solid

To find the volume of resulting solid we are using cylinder method

Substitute the values of x then we get

$(y-7)^2=4$

$y-7=\pm2$

y-7=2 and y-7=-2

y=7+2=9 and y=-2+7=5

Radius of cylinder =r=y-5

and height =h= $4-(y-7)^2=4-y^2-49+14 y=-y^2+14 y -45$

Using cylinder method and integrate along y -axis from y=5 to y=9

Volume = $\int_{a}^{b}2\pi r h dy=\int_{5}^{9}2\pi(y-5)(-y^2+14 y -45) dy$

volume= $2\pi\int_{5}^{9}(-y^3+19y^2-115y+225)dy$

Volume = $2\pi[-\frac{y^4}{4}+19\frac{y^3}{3}-115\frac{y^2}{2}+225y]^9_5$

Volume = $2\pi[-\frac{6561}{4}+\frac{625}{4}+19(\frac{729-125}{3})-115(\frac{81-25}{2})+225(9-5)]$

Volume= $2\pi(-1484+\frac{11476}{3}-3220+900)$

Volume = $2\pi(\frac{11476}{3}-3804)$

Volume = $2\pi(\frac{11476-11412}{3})=\frac{128\pi}{3}$

Hence, volume of resulting solid = $\frac{128\pi}{3}$ cubic units

3 0

3 years ago

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Bumek [7]

Answer:

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3 years ago

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katen-ka-za [31]

Answer:

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Step-by-step explanation:

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The slope of this graph is 3/4, and the y-intercept is 1.

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3 years ago

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