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viktelen [127]
2 years ago
10

Ingrid is moving a box from the ground into the back of a truck. She uses 20 N of force to move the box

Mathematics
2 answers:
3241004551 [841]2 years ago
8 0

She will decrease the amount of work

Without the ramp, Ingrid would have to, in no particular order,

• push the box along the ground, which amounts of (20 N) (5 m) = 100 J of work

• lift the box up some height <em>h</em> with a force at least equal in magnitude to the weight of the box <em>mg</em>, so that the work done in the lifting is <em>mgh</em> (i.e. the energy required to lift the box with constant speed to a height <em>h</em>)

and the total work done in this way would be (100 + <em>mgh</em>) J.

With the ramp, Ingrid would instead push the box a length equal to the hypotenuse of the right triangle formed by the two displacements above. Recall that the hypotenuse of any right triangle is always shorter than the sum of its legs' lengths. (This eliminates the third and fourth options.) So if the length of the ramp, or total displacement of the box along the ramp, is <em>s</em>, then the work done by pushing up the ramp is (10 N) <em>s</em> = 10<em>s</em> J

DerKrebs [107]2 years ago
3 0

Answer:

hi

Step-by-step explanation:

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Step-by-step explanation:

3 0
2 years ago
How many time can 2/3 go into 20
kramer

Answer: 30 times

2/3=.66...

20/.66=30.30

I hope this helps:

6 0
3 years ago
Please help. 24 points!!
Lina20 [59]

The given function is,

f(x)= \frac{2x-1}{x+5}.

Or, y= \frac{2x-1}{x+5}

To find the inverse of a function, first step is to switch x and y. Therefore,

x= \frac{2y-1}{y+5}

Next stpe is to solve the above equation for y t get the inverse f f(x). Hence, multiply each sides by y + 5 to get rid of fraction form. So,

x*(y+5)= \frac{2y-1}{y+5}*(y+5)

xy + 5x = 2y - 1

xy = 2y - 1 - 5x Subtract 5x from each sides to isolate y.

xy - 2y = -5x - 1 Subtract 2y from each sides.

y(x - 2) = -5x -1 Take out the common factor y.

\frac{y(x-2)}{(x-2)} =\frac{(-5x-1)}{(x-2)} Divide each sides by x-2.

y=\frac{(-5x-1)}{(x-2)}

So, f^-1(x)=\frac{-5x-1}{x-2}

Now when we will compare f^-1(x)=\frac{-5x-1}{x-2} with f^-1(x)=\frac{ax+b}{cx+d} then we will get a = -5, b = -1, c = 1 and d=-2

So, \frac{a}{c} =\frac{-5}{1} =-5

Hope this helps you!

6 0
2 years ago
Write an equation in standard form of the line passing through the points (12, 3) and (-3, 8).
aliya0001 [1]

Answer:

x + 3y = 21

Step-by-step explanation:

(x_{1},y_{1})=(12,3) \\\\(x_{2},y_{2})=(-3,8)\\\\Slope= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \dfrac{8-3}{-3-12}= \dfrac{5}{-15}\\\\= \dfrac{-1}{3}

Equation of the line: y =mx+ b

y =  \dfrac{-1}{3}x+b\\\\\\Plugin \ x = 12 \ and \ y=3 \ in \ the \ above \ equation\\\\3= \dfrac{-1}{3}*12+b\\\\3= -4+b\\\\3+4 = b\\\\b = 7\\\\\\\y=  \dfrac{-1}{3}x+7\\\\

Multiply the equation by 3

3y = -x + 21

x + 3y = 21

6 0
3 years ago
Write the expression in complete factored form. 2a(u+2)+9(u+2)=
KIM [24]

Answer:

(u+2)(2a+9)

Step-by-step explanation:

2a(u+2)+9(u+2)

Taking (u+2) common

We get

(u+2)(2a+9)

5 0
3 years ago
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