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Leviafan [203]
3 years ago
12

An earthquake causes a 3 kg book to fall from a shelf. If the book lands with a speed of 4.0 m/s, from what height did it fall?

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0
Given:
3kg book
speed of falling of 4.0 m/s
acceleration due to gravity -9.8 m/s² 

Vf² = Vi² + 2 * a * d

Vf = final velocity ; Vi = initial velocity ; a = acceleration ; d = distance

0² = (4 m/s)² + 2(-9.8m/s²) * d
0 = 16 m²/s² -19.6 m/s² * d
-16 m²/s² = -19.6 m/s² * d
-16 m²/s²  / -19.6 m/s² = d
 0.82 m = distance

The 3 kg book fell from the a shelf at the height of 0.82 meters.
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In class, Julie was asked to create a scenario for the linear function shown. She came up with the following: .Joe planned a hik
Law Incorporation [45]

Answer:

1. Julie’s scenario doesn't match the linear function graphed, because the graphed function is f(x)=-3x+12 and must be f(x)=-5x+12

2. She has counted the slope of the line incorrect.

3. She can write f(x)=-5x+12 and draw the line with the x-intercept will be at (2.4,0) and y-intercpt ar (0,12).

Step-by-step explanation:

If Joe parked 12 miles away from the cabin and after one hour, he was still 7 miles from the cabin, then he had walked 12 - 7 = 5 miles per hour.

The initial positon of Joe is at point (0,12) (after 0 hours passed, Joe was 12 miles from the cabin). The line must pas through the point (1,7) ( after one hour, he was still 7 miles from the cabin ).

Find the slope:

\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{7-12}{1-0}=-5

So, the slope of the linear function should be -5 (not -3).

Then the equation of the function is

f(x)=-5x+12

1. Julie’s scenario doesn't match the linear function graphed, because the graphed function is f(x)=-3x+12 and must be f(x)=-5x+12

2. She has counted the slope of the line incorrect.

3. She can write f(x)=-5x+12 and draw the line with the x-intercept will be at (2.4,0) and y-intercpt ar (0,12).

5 0
3 years ago
Three Texas drovers met on a highway and began to dicker as follows:
Alik [6]

Answer:

  • Jim's: 7
  • Duke's: 21
  • Hank's: 11

Step-by-step explanation:

Let J, D, and H represent the drove sizes of Jim, Duke, and Hank.

  2(H -6 + 1) = (J +6 -1) . . . . . Hank's offer

  3(D -14 +1) = (H +14 -1) . . . . Duke's offer

  6(J -4 +1) = (D +4 -1) . . . . . . Jim's offer

These equations can be simplified to ...

  2H - J = 15

  3D - H = 52

  6J - D = 21

__

<u>Solution</u>

Adding twice the second equation to the first gives ...

  2(3D -H) +(2H -J) = 2(52) +(15)

  6D -J = 119

Adding 6 times the third equation to this one gives ...

  6(6J -D) +(6D -J) = 6(21) +(119)

  35J = 245

  J = 7

Using this value in the third equation gives ...

  6(7) -D = 21

  42 -21 = D = 21

Using the value of J in the first equation gives ...

  2H -7 = 15

  H = (15 +7)/2 = 11

Then the solution is (J, D, H) = (7, 21, 11).

Jim's drove had 7 animals; Duke's drove had 21 animals; Hank's drove had 11 animals.

5 0
3 years ago
1. The diameter of a circle is 36 centimeters. Find the radius. (Section 13.1)
Pepsi [2]
36/2=18
18 would be your answer the radius is half of the diameter
5 0
2 years ago
What is the finance charge on 13,300 financed at 7.9 percent for 4 years if the monthly payment per 100 is 2.74?
Julli [10]

To answer this question we have to first determine how many times 100 can go into 13,300. To find this we do the following:


<span>$13,300/$100 = 133</span>


<span>Now we simply multiply the result by $2.74:</span>


<span>$2.74*133 = $364.42.</span>


<span>Finally we just multiply that by the total number of payments which are (monthly payment, 12 months in a year, for 4 years).</span>


<span>$364.42*(12*4) ---> $364.42*48 = $17,492.16.</span>


The correct answer is choice 4.) 17,492.16


<span>I hope this helps, Regards.</span>

3 0
3 years ago
Read 2 more answers
What multiplies to 30 but adds to -7
FinnZ [79.3K]

10 * 3

hope I helped :)

6 0
3 years ago
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