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3 years ago

The ordered pairs in the table below represent a linear function. x y 6 2 9 8 What is the slope of the function?

Mathematics

2 answers:

Ierofanga [76]3 years ago

8 0

The slope of the function is 2

katen-ka-za [31]3 years ago

4 0

Assuming the points are (6,2) and (9,8)
We can find slope by finding change in y over change in x, or rise over run.

(8-2)/(9-6)
6/3
2

Final answer: 2

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22: A 2.0 kg object moves along the x-axis under the influence of an unknown force. Its potential energy due to the force is U(x

aleksandr82 [10.1K]

Answer: a) -13.25 N, b) 1.78 m/sec

Step-by-step explanation:

Since we have given that

$U(x)=ax^4+bx^2$

where

$a=2.5\ J/m^4\\\\b=12\ J/m^2$

As we know that

$F=\dfrac{-dU}{dx}=-(4ax^3+2bx)$

Here, x= 0.5 m

So, it becomes,

$F=-(4\times 2.5\times (0.5)^3+2\times 12\times 0.5)=-13.25\ N$

Now, we need to find the velocity when it crosses the origin,

$F=mg\\\\F=m\dfrac{dv}{dt}\\\\F=mv\dfrac{dv}{dx}\\\\-(4ax^3+2bx)dx=mvdv\\\\\int\limits^{0.5}_0 {-(4ax^3+2bx)} \, dx =\int\limits {mv} \, dv\\\\ \dfrac{-4ax^4}{4}+\dfrac{2bx^2}{2}|_0^{0.5}=\dfrac{mv^2}{2}\\\\ax^4+bx^2|_0^{0.5}=\dfrac{mv^2}{2}\\\\2.5(0.5)^4+12(0.5)^2=\dfrac{2v^2}{2}\\\\0.15625+3=v^2\\\\3.15625=v^2\\\\\sqrt{3.15625}=v\\\\v=1.78$

Hence, a) -13.25 N, b) 1.78 m/sec

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4 years ago

What is y=6/5x+4/5 perpendicular

allochka39001 [22]

Answer:

Step-by-step explanation:

5 0

3 years ago

Need 24 26 28 and 30 dne, first correct will get brainiest

Galina-37 [17]

Answer:

Many answers, look below :)

Step-by-step explanation:

24.

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3 years ago

I need help learning how to solve <br> -p-4p>-10

Zepler [3.9K]

combine like terms: -5p > -10

divide by -5 on both sides: p > 2

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3 years ago

You spend $55 on sneakers, receive $30 for

Pavel [41]

Answer:

$149

Step-by-step explanation:

He spent 55 on sneakers at first, then he recieved 30 more, and gave 20 to the mom, which i added to the equation, and what he has left i also added.

4 0

3 years ago