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joja [24]
2 years ago
11

Consider the following statement. For every integer m, 7m 4 is not divisible by 7. Construct a proof for the statement by select

ing sentences from the following scrambled list and putting them in the correct order.
SAT
1 answer:
Maksim231197 [3]2 years ago
6 0

The constructed proof is given below.

<h3>Calculations and Parameters</h3>

Prove: f(M)= 7M +4 is not divisible by 7 for any integer M.

M=0 --> f(M) = 4 which is not divisible by 7.

M=1 --> f(M) = 11 which is not divisible by 7.

Suppose f(M) is not divisible by 7 for some positive integer M.

(this is the GIVEN induction hypothesis)

7(m+1)+4 = 7m+7+4 = 7m +4 + 7 = (7m+4)+7

dividing by 7, the quotient is [(7m+4)+7]/7

= (7m+4)/7 + 1

This is NOT divisible by 7 per induction hypothesis...

Read more about discrete mathematics here:

brainly.com/question/27793609

#SPJ1

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What is the measure of side of AC?
SSSSS [86.1K]

Answer:

4.24 would be the answer

Explanation:

8 0
3 years ago
Read 2 more answers
1. On the basis of Home Depot's response to environmental issues, describe the attributes (power, legitimacy, urgency) of this s
Misha Larkins [42]

The attributes of the stakeholder is one that is seen their power to enact laws, and the power they have as they can stand against  or refuse to patronize any company that is not environmentally responsible and this was said to have compels Home Depot to respond to the issues.

Note that a  stakeholder framework is one that helps us to know the internal stakeholders and the external stakeholders.

<h3>What is the above case about?</h3>

Home Depot company is known to be the biggest  home improvement retailer that one can find in the United States and they help to supply tools and other forms of construction projects.

Note that a  stakeholder framework is one that helps us to know the internal stakeholders and those who are external stakeholders.

The Internal stakeholders are known to be the employees, boards of directors, and others while the external are the Customers, special interest groups, and others. They are said to come together or agree to work with and engage in any form of confrontations regarding ethical issues.

Home Depot was said to have used the Environmental Principles and they were also known to have taken the first step in handling and addressing environmental problems and thus lower their effect on the environment some of which was the reverse distribution program.

Learn more about stakeholder from

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3 0
2 years ago
13. In cell b13, create a formula without a function using absolute references that subtracts the values of cells b5 and b7 from
blsea [12.9K]

Excel formulas are expressions used to perform computation.

The formula in Excel is: =($B$6 - $B$5 - $B$7)* $B$8

<h3>How to determine the formula</h3>

From the question, we are to:

  • Subtract B5 and B7 from B6
  • Use absolute style referencing

To use the absolute reference in Excel cells, we have to include the dollar "$" sign.

This means that: a cell A1 will be written as: $A$1;

So, the formula to enter in cell B13 is:

=($B$6 - $B$5 - $B$7)* $B$8

Read more about Excel formulas at:

brainly.com/question/14820723

5 0
2 years ago
a helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2 kilometers per minute. if the heli
Murrr4er [49]

The Pythagoras' theorem and the uniform motion allows to find the answer for the rate of change of distance is

               v = 32.3 m / s

The distance is the length of the segment that a white house wing with the helicopter, this can be found using the Pythagoras' theorem

               R = \sqrt{x^2 + y^2}

Where R is the distance, x is the horizontal distance where the helicopter flies and y is the vertical distance that corresponds to the flight height

y = 500 m

Since the helicopter flies at constant speed, we can use the uniform motion relation

              v_h = \frac{x}{t}

              x = v_ht

Where v_h is the speed of the helicopter and t is the time

We substitute  

                r = \sqrt {(V_h \ t)^2 + y^2}

Kinematics defines velocity as the change of position in the unit of time

            v = \frac{dR}{dt}

           v = \frac{1}{2} \  \frac{2 ( v_h t) v_h}{ \sqrt{(v_h t)^2 + y^2} }

           v = \frac{v_h^2 \ t}{ \sqrt{(v_h t)^2 + y^2} }

This expression is the change in distance as a function of time for a given speed. In the exercise, this speed is requested for a time of one minute, for the helicopter speed of

        v = 2km/min (\frac{1000m}{1km} ) ( \frac{1 min}{60s}) = 33.33 m / s

Let's calculate

            v = \frac{33.33^2 \ 60 }{ \sqrt{ )33.3 \ 60)^2 +500^2} }

         

            v = 32.3 m / s

In conclusion using the Pythagoras' theorem and the uniform motion we can find the answer for the rate of change in distance is

               v = 32.3 m / s

Learn more here: brainly.com/question/343682

4 0
3 years ago
Calculate the speed of the 0.66 kg ball just before the collision.
vaieri [72.5K]

Answer:

The experimental apparatus shown in the figure above contains a pendulum consisting of a 0.66 kg ball attached

to a string of length 0.60 m. The pendulum is released from rest at an angle of 60 degrees and collides with a ball of  mass 0.22 kg initially at rest at the edge of a table. The 0.22 kg ball hits the floor a distance of 1.4 m from the

edge of the table.

(a) Calculate the speed of the 0.66 kg ball just before the collision.

2.4 m/s

(b) Calculate the speed of the 0.22 kg ball immediately after the collision.

2.8/m s

(c) Calculate the speed of the 0.66 kg ball immediately after the collision.

1.5 m/s

(d) Indicate the direction of motion of the 0.66 kg ball immediately after the collision.

           ____ To the left __<u>X</u>__ To the right

(e) Calculate the height to which the 0.66 kg ball rises after the collision.

0.11 m

(f) Based on your data, is the collision elastic?

           ____ Yes __<u>X</u>__ No

Coefficient of elasticity of less than one means an inelastic collision.

Justify your answer.

Explanation:

See attached.

Download pdf
7 0
3 years ago
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