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3 years ago

Is this right? Please help me

Mathematics

1 answer:

mixer [17]3 years ago

3 0

Yes you are correct. The line of best fit, aka the regression line, represents the line that is closest to all of the points on the scatterplot. Ideally you want the line to go through all of the points; however, it's not possible in this case. The next best thing is to get as close as possible. You can think of it like a supermarket that is right in the middle of a city so that it's closest to all its residents.

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A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is

Goshia [24]

water in cylinder = 1.179π in³

<h3>Further explanation</h3>

Volume is a derivative quantity derived from the length

The unit of volume can be expressed in liters or milliliters or cubic meters

The volume of the cylinder

V = πr².h

the volume of ball

V= 4/3πr³

volume of cylinder

$\tt V=\pi.9^2.15=1215\pi$

volume of the ball

$\tt V=\dfrac{4}{3}\pi.r^3\\\\V=\dfrac{4}{3}.\pi.3^3=36\pi$

water in the cylinder

V cylinder - V ball

$\tt 1215\pi-36\pi=1179\pi$

5 0

3 years ago

Pretty PLEASE HELP ASAP, THANKS! WILL REWARD BRAINLIEST!!

shutvik [7]

You can rewrite it as
(2/3 )•(10^(13-8))= (2/3)• 10^5 ~ 0.67•10^5=
0.67•10•10^4= 6.7•10^4

Answer $6.7•10^4

5 0

4 years ago

Sequence: 2, 11, 20, 29, … Which term in the sequence is 227?

Sauron [17]

218

If you take 11-9=2
20-11=9
29-20=9
227-218=9

5 0

3 years ago

Factor completely x^8- 16.

Nataly_w [17]

Answer:

Step-by-step explanation:

So in this example we'll be using the difference of squares which essentially states that: $(a-b)(a+b)=a^2-b^2$ or another way to think of it would be: $a-b=(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b})$ . So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:

$x^8-16 = (x^4-4)(x^4+4)$

Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:

$x^4-4 = (x^2-2)(x^2+2)$

So completely factored form is: $(x^2-2)(x^2+4)(x^4+4)$

I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because $x^2+4 = x^2-(-4)$ . and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes: $x^4+4 = x^4 - (-4) = (x^2-\sqrt{-4})(x^2+\sqrt{-4}) = (x^2-2i)(x^2+2i)$ just something that might be useful in some cases.