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Sindrei [870]
3 years ago
8

What is the answer to 16b+5c-10-8c+2b

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer:

18b-3c-10

Step-by-step explanation:

16b+5c-10-8c+2b

<h3>Combine like terms [ 16b+2b=18b] [5c-8c=-3c] [and then -10 is alone bc its doesnt have any friends to combine with.]</h3>
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Simplify negative 2 and 1 over 9 – negative 4 and 1 over 3
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Ok to start you have to put


2+-1/9 - 4+-1/3

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What are the solutions to the nonlinear system of equations below? Check all that apply.
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A waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must ho
photoshop1234 [79]

Answer:

The dimensions that minimize the surface are:

Wide: 1.65 yd

Long: 3.30 yd

Height: 2.20 yd

Step-by-step explanation:

We have a rectangular base, that its twice as long as it is wide.

It must hold 12 yd^3 of debris.

We have to minimize the surface area, subjet to the restriction of volume (12 yd^3).

The surface is equal to:

S=2(w*h+w*2w+2wh)=2(3wh+2w^2)

The volume restriction is:

V=w*2w*h=2w^2h=12\\\\h=\frac{6}{w^2}

If we replace h in the surface equation, we have:

S=2(3wh+2w^2)=6w(\frac{6}{w^2})+4w^2=36w^{-1}+4w^2

To optimize, we derive and equal to zero:

dS/dw=36(-1)w^{-2} + 8w=0\\\\36w^{-2}=8w\\\\w^3=36/8=4.5\\\\w=\sqrt[3]{4.5} =1.65

Then, the height h is:

h=6/w^2=6/(1.65^2)=6/2.7225=2.2

The dimensions that minimize the surface are:

Wide: 1.65 yd

Long: 3.30 yd

Height: 2.20 yd

8 0
3 years ago
I need an explanation<br> (Picture provided)
Over [174]
Angles on a straight line add up to 180° so you do 180 take away 115 which gives you Y angle and then angles in a triangle add up to 180 so you do 45 add 65 and you get 110 which then u take away from 180 to get 70 answer D
5 0
3 years ago
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