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olga2289 [7]
3 years ago
14

The amount of stretch of a hanging spring versus the mass attached to the bottom of the spring was measured for different masses

. The results are shown in the table. mass (grams) stretch centimeters) 24 48 8 10 16 | 20 What is the constant of proportionality between the mass and the amount of stretch? O 0.5 centimeters per gram O 0.5 grams per centimeter squared O 2.0 centimeters per gram O 2.0 grams per centimeter squared​
Mathematics
1 answer:
WINSTONCH [101]3 years ago
6 0

Step-by-step explanation:

j

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Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)
nekit [7.7K]

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in y=mx+b form. In this for the following are:

  • m is the slope of the line
  • b  is the y intercept

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Upon inserting our points into the equation, we get a slope of -1.

\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1

Creating The Equation

To create the equation in y=mx+b form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

y=-1x-2

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

5 0
3 years ago
Antonia likes calculating the sum of the digits that she sees on her digital clock (think of a microwave clock). For example, if
slega [8]

Answer:

The largest sum she can get on a 12-hour digital clock is 17.

Step-by-step explanation:

The largest time found in a 12-hour digital clock is 12 hours and 59 minutes. If you add 12:59/ 1+2+5+9 it equals to 17. Hope this helps.

8 0
3 years ago
Julio solicitó un préstamo en el banco para invertir en su casa, pagó una cuota de $32,950 y otra de $25,825. Si el préstamo fue
Umnica [9.8K]

Answer:

Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.

Step-by-step explanation:

Dada la falta de información, asumimos que el préstamo fue realizado sin tasa de interés, de modo que la deuda solo sea el monto inicial menos las cuotas pagadas por quien recibe el préstamo, la cantidad de dinero que adeuda al banco es:

x = \$\,100000 - \$\,32950 - \$\,25825

x = \$ \,41225

Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.

7 0
3 years ago
A company now has 4500 employees nationwide. It wishes to reduce the number of employees by 250 per year through​ retirements un
Darya [45]

4500 - 2300 = 2200

They wish to get rid of 2200 employees

250(x) = 2200

Divide 2200 by 250

x = 8.8

It will take 8.8 years.

6 0
3 years ago
Help me and i will give u a brainlliest
DanielleElmas [232]

Answer:

5

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Step-by-step explanation:

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