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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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In a direct variation, y = 12 when x = 6. Write a direct variation equation that shows the relationship between x and y.
solong [7]

Answer:

y=2x

Step-by-step explanation:

Y=kx

12=k6

12 divided by 6 to get 2

and 2=k

4 0
3 years ago
Michael can paint 1/2 of a room every 1/3 of an hour. How many rooms can Michael paint in 1
Alecsey [184]

Answer:

1.5 rooms

Step-by-step explanation:

1/2 x 3

8 0
3 years ago
What are the roots of x in -10x2 + 12x − 9 = 0?
hoa [83]

Answer:

x_1=\frac{3(2+i\sqrt{6})}{10}

x_2=\frac{3(2-i\sqrt{6})}{10}

Step-by-step explanation:

Use the Quadratic formula:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

You can identify that, in this case:

a=-10\\b=12\\c=-9

Now you need to substitute these values into the formula:

x=\frac{-12\±\sqrt{12^2-4(-10)(-9)}}{2(-10)}

x=\frac{-12\±\sqrt{-216}}{-20}

Remember that:

i=\sqrt{-1}

Therefore,rewriting and simplifying, you get:

x=\frac{-12\±6i\sqrt{6}}{-20}

x=\frac{-6(2\±i\sqrt{6})}{-2(10)}

x=\frac{3(2\±i\sqrt{6})}{10}

Then, you get the following roots:

x_1=\frac{3(2+i\sqrt{6})}{10}

x_2=\frac{3(2-i\sqrt{6})}{10}

6 0
3 years ago
Read 2 more answers
Can someone help me on this ???
Alex777 [14]

Answer:

x=4x-16 is what you get after you distribute

Step-by-step explanation:

2 by 2 is 4

2 by 8 is 16

8 0
3 years ago
Read 2 more answers
How many times larger is 2⁴⁵ than 2⁴²​
andre [41]

Answer:

hi

Step-by-step explanation:

2⁴⁵÷2⁴²=2³

2³=8

hope it helps

have a nice day

7 0
3 years ago
Read 2 more answers
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