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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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The temperature on the planet Mercury alternates depending
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Answer:

1296°F

Step-by-step explanation:

950+346=1296

Hope this helps! : )

7 0
2 years ago
Triangle STU is rotated 270 clockwise about the origin to create triangle S'T'U'. If point U of triangle STU is a (a,b), which a
nadya68 [22]

Answer:

(b, -a)

Step-by-step explanation:

First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)

Note that the coordinates were swapped and the x coordinates negated. Similarly;

Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will  be (b, -a)

6 0
2 years ago
1. Which of the following is the x-coordinate of the solution to the system shown below?
astra-53 [7]

Answer:

x=9

Step-by-step explanation:

Using elimination method.

Add equation 1 to equation 2

x + y = 11

x - y = 7

---------------

2x + 0 = 18

Divide both sides by 2

2x = 18

---- ----

2 2

x = 9

3 0
2 years ago
- 7 ( z - 6 ) = - 70
NemiM [27]

Answer:

z=16

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−7(z−6)=−70

(−7)(z)+(−7)(−6)=−70(Distribute)

−7z+42=−70

Step 2: Subtract 42 from both sides.

−7z+42−42=−70−42

−7z=−112

Step 3: Divide both sides by -7.

−7z /−7 = −112 /−7

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7 0
3 years ago
Read 2 more answers
Suppose that profit for a particular product is calculated using the linear equation: Profit = 20S + 3D. Which of the following
uranmaximum [27]

Answer:

b. S = 405, D = 0

Step-by-step explanation:

We have been given that profit for a particular product is calculated using the linear equation: \text{Profit}=20S+3D. We are asked to choose the combinations of S and D that would yield a maximum profit.

To solve our given problem, we will substitute given values of S and D in the profit function one by one.

a. S = 0, D = 0

\text{Profit}=20S+3D

\text{Profit}=20(0)+3(0)

\text{Profit}=0

b. S = 405, D = 0

\text{Profit}=20S+3D

\text{Profit}=20(405)+3(0)

\text{Profit}=8100+0

\text{Profit}=8100

c. S = 0, D = 299

\text{Profit}=20S+3D

\text{Profit}=20(0)+3(299)

\text{Profit}=0+897

\text{Profit}=897

d. S = 182, D = 145

\text{Profit}=20S+3D

\text{Profit}=20(182)+3(145)

\text{Profit}=3640+435

\text{Profit}=4075

Since the combination S = 405, D = 0 gives the maximum profit ($8100), therefore, option 'b' is the correct choice.

7 0
3 years ago
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