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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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Of the 30,000,000 species on earth, how many are lost each hour?.
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3 Species disappear every hour.

Explanation:

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2 years ago
Which of the following is considered an advantage of using nuclear power to generate electricity?.
tatuchka [14]

An advantage of using nuclear power to generate electricity is: nuclear power plants do not pollute the air.

<h3>What are Nuclear Power Plants?</h3>

Nuclear power plants are considered as one of the low-carbon energy sources, and as such, have small carbon footprints, unlike other fossil fuels used to generate electricity.

This implies that, nuclear power plants do not add carbon dioxide or other greenhouse gases to the atmosphere.

Therefore, an advantage of using nuclear power to generate electricity is: nuclear power plants do not pollute the air.

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7 0
2 years ago
Indicate, for each pair of functions (a, b) in the table below, whether a is ο, ω or ɵ of b. Assume that k ≥ 1, ɛ &gt; 0 and c &
Alex Ar [27]

Attached below is the filled table indicating for each pair of function :

  • Y or N

From the attached table the functions in the box are indicated with Y or N where : Y = yes

                N = No

To indicate whether a is ο, ω or ɵ of b assuming the given constants in the question. To justify if the each pair of functions is ο, ω or ɵ of b. Apply the L'Hospital's rule K times for each pair of function.

<h3>L'Hospital's rule</h3>

L'hospital's rule states that when there is an indeterminate numerator

( i.e. 0/0 or ∞ / ∞ ) and denominator the best line of action is the differentiation of the numerator and denominator taking the limit

Hence we can conclude that the filled table is the complete answer

Learn more about  L'hospital's rule : brainly.com/question/105479

<em>Attached below is the complete question and answer </em>

8 0
2 years ago
How is everyones day going
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amazing ksgdjsbyanavaja

4 0
3 years ago
Read 2 more answers
Scott’s employer pays 70% of his health insurance premium and deducts the remainder from his paycheck. Scott is paid biweekly, a
kvv77 [185]

The amount deducted from his paycheck for health insurance bi weekly is; $100.94

<h3>What is the amount deducted?</h3>

Since 70% of his health insurance premium is paid by his employer and the remaining deducted, then;

Scott's amount deducted per week for health insurance =  8,748 x 30% = $2,624.40

There are 52 weeks in a year and as such, amount deducted weekly is;

2,624.40/52 weeks = $50.47

Amount deducted bi weekly = 50.47 × 2 = $100.94

Read more about amount deducted at; brainly.com/question/2880026

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2 years ago
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