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melomori [17]
2 years ago
14

Ricardo calculates a line of best fit for a data set with integer x-values 1 through 6. Complete the sentence with the correct w

ord
Using a line of best fit with the equation y = -3x+21 to predict the value of y when x = 10 is an example of
Choose...
correlation
extrapolation
interpolation
causation
Mathematics
1 answer:
Y_Kistochka [10]2 years ago
8 0

Answer:

I'm sorry I need points I'm stuck on a question

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A 24.6 g marble sliding to the right at 62.0 cm/s overtakes and collides elastically with a 12.3 g marble moving in the same dir
Softa [21]

Answer:

Velocity of the 24.6 g marble is 31 cm/s.

Step-by-step explanation:

Given:

Marble 1:

Mass of the marble (m_1) = 12.3 gm

Velocity of m_1 before collision v_1_i = 15.5 cm/s

Velocity of m_1 after collision v_1_f = 77.5 cm/s

Marble 2:

Mass of the marble (m_2) = 24.6 gm

Velocity of m_2 before collision v_2_i = 62 cm/s

Velocity of m_2 after collision v_2_f = ?

From the law of conservation of momentum, we know that momentum before equals the momentum after :

So,

⇒ P(i)=P(f)

⇒ (m_1\times v_1_i )+(m_2\times v_2_i) =(m_1\times v_1_f)+(m_2\times v_2_f)

⇒ Plugging the values.

⇒ (12.3\times 15.5) +(24.6\times 62)=(12.3\times 77.5)+(24.6\times v_2_f)

⇒ 190.65+1525.2=953.25+24.6\times v_2_f

⇒ 1715.85=953.25+24.6\times v_2_f

⇒ 1715.85-953.25=24.6\times v_2_f ...subtracting both sides 953.25

⇒ 762.6=24.6\times v_2_f

⇒ \frac{762.6}{24.6}\ =v_2_f ...dividing both sides with 24.6

⇒ 31=v_2_f

⇒ v_2_f =31 cm/s

The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.

6 0
3 years ago
What is not an example of kinetic energy?
Anestetic [448]

Answer:

Moving Car. Moving cars possess some amount of kinetic energy. ...

Bullet From a Gun. A bullet fired from a gun has very high kinetic energy, and, so, it can easily penetrate any object. ...

Flying Airplane. ...

Walking & Running. ...

Cycling. ...

Rollercoasters. ...

Cricket Ball.

5 0
2 years ago
Read 2 more answers
Need Help with some Math
tatyana61 [14]

Answer:

8

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. The PRT states that if we have a polynomial f(x) being divided by a factor in the form of (x-a), then the remainder of the polynomial is given by f(a).

We have the polynomial:

f(x)=3x^{15}-5x^{12}+7x^6-3x^2+12

And it is being divided by:

(x+1)

We can rewrite our factor as:

(x-(-1))

Therefore:

a=-1

Then our remainder will be:

f(-1)

Evaluate:

\begin{aligned} f(-1)&=3(-1)^{15}-5(-1)^{12}+7(-1)^6-3(-1)^2+12\\&=-3-5+7-3+12\\&=8 \end{aligned}

So, our remainder will be 8.  

4 0
2 years ago
What is the slope of the line that passes through the points (-2,-1) and (2,-3) answer in simplest form
erma4kov [3.2K]

Answer:

Step-by-step explanation:

(-3 + 1)/(2 + 2)= -2/4= -1/2 is the slope

5 0
2 years ago
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
olga55 [171]

Answer:

The area of the large rectangle can be represented in two ways. Either the sum of each of the areas of the individual smaller rectangles, which is what the first equation represents, as its the base multiplied by the height (a) of each rectangle.

The second equation is a simplified version of the first one, and can be explained in three ways:

Each of the terms in the earlier equation had a common factor of a, which could be taken outside the parentheses.

or

Since the height is the same for each of the smaller rectangles, you can just multiply the height times the sum of the three smaller rectangle's widths

or

The width of the large rectangle is just the sum of each of the smaller widths, so the sum of those multiplied by a will give the area of the large rectangle.

Hope this helps!

5 0
2 years ago
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