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Ulleksa [173]
3 years ago
7

Create a data set describing two variables, with at least five data points, that has an equation for the line of best fit of y =

2x + 25. Show all your work for full credit.
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0

Answer:

X = 2, 4, 6, 7, 9

Y = 29, 33, 37, 39, 43

Step-by-step explanation:

Given a best fit line of :

y = 2x + 25

Take points X as :

X = 2, 4, 6, 7, 9

X = 2

y = 2(2) + 25 = 4 + 25 = 29

X = 4

y = 2(4) + 25 = 8 + 25 = 33

X = 6

y = 2(6) + 25 = 12 + 25 = 37

X = 7

y = 2(7) + 25 = 14 + 25 = 39

X = 9

y = 2(9) + 25 = 18 + 25 = 43

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You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. It bounces back up with every bounce,
Mariana [72]

Answer:

16.4 m to the nearest tenth.

Step-by-step explanation:

After the first bounce it rises to a height of 50*0.8 = 40 m.

After the next bounce it rises to  50*(0.8)^2 = 32 m

So after the 5th bounce it rises to  50(0.8)^5 = 16.4 m. (answer).

4 0
3 years ago
A honeybee flaps its wings 200 times per second.how much time is required for one wingbeat? give your answere in millisecond
Fiesta28 [93]

The time required for one wing beat is 5 milliseconds.

<em><u>Explanation</u></em>

Lets assume, the time required for one wing beat is  t seconds

So, the time required for 200 wing beat = 200t seconds

Given that, the honeybee flaps its wings 200 times per 1 second. So...

200t=1 \\ \\ t=\frac{1}{200}seconds\\ \\ t= (\frac{1}{200}*1000 )milliseconds\\ \\ t=( 5 )milliseconds

So, the time required for one wing beat is 5 milliseconds.

7 0
3 years ago
Which expression is equal to (6x−4)(3x−1)?
Natali5045456 [20]

Answer:

(6x-4)(3x-1)  = 18x^2  - 18x + 4  is the required simplification.

Step-by-step explanation:

Here, the given expression is (6x−4)(3x−1).

By DISTRIBUTIVE PROPERTY of numbers:

A ( B + C ) =  AB + AC

Simplifying the given expression, we get:

(6x-4)(3x-1) = 6x(3x-1)-4(3x-1)\\= 6x(3x)  -1(6x)  -4(3x)  +4\\=18x^2  - 6x - 12x + 4\\18x^2  - 18x + 4

or, (6x-4)(3x-1)  = 18x^2  - 18x + 4

Hence the given expression is simplified.

3 0
3 years ago
How to find the vertices of the hyperbole
torisob [31]

The answer is the second one

If you want a fast explanation

You have to remember that the minus sign indicates which direction the hyperbole will follow, if the minus is on x, that indicates the hyperbole will be vertical, and if the minus is in y, then it'll be horizontal

If you check the vertices points those indicates the length of 2a thus thatll be 6

To get the center just use middle point equation and you'll get (1,3)

Just to know, a indicates the distance from the center to the vertices, b indicates how wide the hyperbole box is, and c indicates the distance from center to focis

A=3

B=?

C=6

We use Pythagoras so

b =  \sqrt{(6) ^{2}  - (3) ^{2}  }

Thus you get

b =  \sqrt{27}

With that data now you can get the equation

You know that below (y-3)^2 there should be a^2 so that means there will be the 9

And in the (x-1)^2 there should be b^2 so that means there will be the 27

PD. The 3 besides y, and 1 besides x represent the center

5 0
3 years ago
Read 2 more answers
Financial advisors counsel young people to start saving early for their retirement. Explain why an early start is important.
Inessa05 [86]

Answer:

The more money you invest and the earlier you start means your retirement savings will have that much more time and potential to grow and investing early you can be able to take advantage of compound earnings.

Step-by-step explanation:

5 0
3 years ago
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