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son4ous [18]
4 years ago
10

Ben worked 3 hours at x dollars per hour. Julie worked 7 hours and earned twice as much as Ben per hour. Phil worked 12 hours an

d earned 5 dollars an hour less than Julie. Choose the expression that is correctly simplified and best represents their total wages.
29x – 5
29x – 60
22x – 5
41x – 60
Physics
1 answer:
Kaylis [27]4 years ago
8 0

Answer:

D) 41x - 60

Explanation:

You need to find the total wages of each person and add them together.

- Ben worked 3 hours at x dollars per hour so his total is: 3x

- Julie worked 7 hours but got 2x per hour so her total is: 7(2x) = 14x.

- Phil worked 12 hours and earned 2x-5 per hour. The 2x is how much Julie earned and Phil gets 5 dollars less than that, his total is: 12(2x - 5) = 24x - 60.

Now we add them all together: 3x + 14x + 24x - 60 = 41x - 60

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iren2701 [21]
A is the answer. I think
8 0
3 years ago
What is the Gravitational Potential Energy of a 30 kg box lifted 1.5 meters off the ground?
juin [17]

Answer:

<h2>441 J</h2>

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 30 × 9.8 × 1.5

We have the final answer as

<h3>441 J</h3>

Hope this helps you

6 0
3 years ago
Tennis balls traveling at greater than 100 mph routinely bounce off tennis rackets. At some sufficiently high speed, however, th
Kipish [7]

Answer:

Probability of tunneling is 10^{- 1.17\times 10^{32}}

Solution:

As per the question:

Velocity of the tennis ball, v = 120 mph = 54 m/s

Mass of the tennis ball, m = 100 g = 0.1 kg

Thickness of the tennis ball, t = 2.0 mm = 2.0\times 10^{- 3}\ m

Max velocity of the tennis ball, v_{m} = 200\ mph = 89 m/s

Now,

The maximum kinetic energy of the tennis ball is given by:

KE = \frac{1}{2}mv_{m}^{2} = \frac{1}{2}\times 0.1\times 89^{2} = 396.05\ J

Kinetic energy of the tennis ball, KE' = \frac{1}{2}mv^{2} = 0.5\times 0.1\times 54^{2} = 154.8\ m/s

Now, the distance the ball can penetrate to is given by:

\eta = \frac{\bar{h}}{\sqrt{2m(KE - KE')}}

\bar{h} = \frac{h}{2\pi} = \frac{6.626\times 10^{- 34}}{2\pi} = 1.0545\times 10^{- 34}\ Js

Thus

\eta = \frac{1.0545\times 10^{- 34}}{\sqrt{2\times 0.1(396.05 - 154.8)}}

\eta = \frac{1.0545\times 10^{- 34}}{\sqrt{2\times 0.1(396.05 - 154.8)}}

\eta = 1.52\times 10^{-35}\ m

Now,

We can calculate the tunneling probability as:

P(t) = e^{\frac{- 2t}{\eta}}

P(t) = e^{\frac{- 2\times 2.0\times 10^{- 3}}{1.52\times 10^{-35}}} = e^{-2.63\times 10^{32}}

P(t) = e^{-2.63\times 10^{32}}

Taking log on both the sides:

logP(t) = -2.63\times 10^{32} loge

P(t) = 10^{- 1.17\times 10^{32}}

6 0
3 years ago
Water is completely filling black metallic vessel having cubic form and thin walls. The mass of water is 1 kg and initial temper
Brilliant_brown [7]

Answer:

Check the attached image

Explanation:

To solve the problem for time you will have to use the formula for time, t = d/s which means time equals distance divided by speed.

Kindly check the attached image below for the step by step explanation to the question.

5 0
3 years ago
2 1.1.4 Quiz: Introduction to Physical Science
Naily [24]

Answer:

A. 1 J= 1 kg•m²/s²      :)

Explanation:

4 0
3 years ago
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