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never [62]
2 years ago
12

Subtract. (8u - 2v + 7w) and (5u + v + 6w)

Mathematics
1 answer:
KiRa [710]2 years ago
5 0

Answer:

c)3u-3v-w

Step-by-step explanation:

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by visual inspection, determine the best-fitting regression model for the data plot below. A. No pattern B. Quadratic C.Linear D
liq [111]

Answer:

C) Linear

Step-by-step explanation:

We can see from the plot that the data approach a straight line.

This means we can draw a line of best fit through this data and it should hit several data points; thus the answer is linear.

4 0
2 years ago
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If a cone with a diameter of 10 meters has a surface area of 290.6 square meters, find its slant height.
Finger [1]
<h2>Hello!</h2>

The answer is:

The slant height is 13.43 m.

l=13.43m

<h2>Why?</h2>

To solve the problem, we need to use the following equations to calculate the total surface area and the lateral surface area of right cone:

TotalSurfaceArea=LateralSurfaceArea+BaseArea

LateralSurfaceArea=\pi *r*l

Where,

r, is the radius of the cone.

l, is the slant height of the cone.

We are given the following information:

TotalSurfaceArea=290.6m^{2} \\Diameter=10m\\Radius=\frac{1}{2}d=\frac{1}{2}10m=5m

So, calculating the area of the base(circle) in order to find the lateral surface area, we have:

BaseArea=\pi *r^{2} \\\\BaseArea=\pi *5m^{2} =\pi *25m^{2}=79.54m^{2}

Then, substituting the area of the base into the total surface area to calculate the surface area of the cone, we have:

LateralSurfaceArea=TotalSurfaceArea-BaseArea

LateralSurfaceArea=290.6m^{2}-79.54m^{2}

LateralSurfaceArea=211.06m^{2}

Now, calculating the slant height, we have:

LateralSurfaceArea=\pi *r*l

l=\frac{LateralSurfaceArea}{\pi*r }

Substituting, we have:

l=\frac{211.06m^{2}}{\pi*5 }=\frac{211.06}{15.71m }

l=\frac{211.06}{15.71m }=13.43m

Hence, we have that the slant height is 13.43 m.

l=13.43m

Have a nice day!

6 0
2 years ago
Carla purchased a hat for $12, a purse for $26, and a dress for $125. The sales tax rate was 5.6 percent. What was the total amo
disa [49]
12 + 26 + 125 = 163
163 + 0.056(163) = 163 + 9.13 = 172.13
5 0
2 years ago
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Mrs. Kermit has 29 markers. She gives 12 markers to Mr. Cooke and divides the rest among 5 other teachers. If each of the teache
romanna [79]

Answer: 2 markers.

Step-by-step explanation:

1. You know that she gives 12 markers to Mr. Cooke, then the rest among is:

29 markers-12 markers=17 markers

2. She divides the rest among 5 other teachers and each one of them get the same number of markers. So, you need to divide 17 markers by 5 teachers as following:

17 markers/5=3.4 markers

3. But the number of marker each one teacher has can't be a decimal number, so this number must be: 3 markers for each teacher.

3. The number of markers that will be left over is:

17 markers-(5*3 markers)=2 markers

8 0
2 years ago
Sociologists studying the behavior of high school freshmen in a certain state collected data from a random sample of freshmen in
timurjin [86]

Answer:

C

Step-by-step explanation:

Stay safe hope this helps

5 0
2 years ago
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