Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive :)

Answers

Answer 1

Answer: Constructive. To prove that there is a positive integer that equals the sum of the positive integers not exceeding it. A plain and simple example is
1.1 + 2 = 3
2.10 + 50 + 100 =160
3.6x + 8x + 2x = 16 x

Notice that the sum of the numbers is always greater than the addends. This only proves that any positive sum of any two positive addends will not compare and thus the addends not exceeding a greater value than the sum.

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What's an extraneous solution?

In your own words

Answers

Answer:

You get this solution while solving your problem but it still is not the correct answer to your question...

(I think)

Which of the following statements is true?A. Both the square root of 15 and the square root of 0.001 are rational.

B. Both the square root of 15 and the square root of 0.001 are irrational.

C. The square root of 15 is rational and the square root of 0.001 is irrational.

D. The square root of 15 is irrational and the square root of 0.001 is rational.

Answers

Answer:

Option D is right.

Step-by-step explanation:

Given are four statements and we have to find which one is true.

A) 15 is not a perfect square and hence square root of 15 is not rational. Incorrect.

B) While 15 has irrational root 0.0001 is the square of 0.01 hence the square root of second is rational hence incorrect

C) Since 15 is not a perfect square and hence square root of 15 is not rational. Incorrect

D) The square root of 15 is irrational and the square root of 0.001 is rational.

is the only correct option

Dawn used a unit fraction to describe how much of her chores she has done. which fraction could dawn have used?

Answers

A possible fraction dawn could use is 1/6.

1/X is a better answer though where x is number of chores.

In the data set below, what is the mean absolute deviation?4,9,2,9,2,2,7

If the answer is a decimal, round it to the nearest tenth.

Answers

Answer:

2.9 (2.85)

Step-by-step explanation:

A force of 3 pounds acts in the direction of 42 degrees to the horizontal. The force moves an object along a straight line from the point (3,7) to the point (8,8), with distance measured in feet. Find the work done by the force in foot-pounds.

Answers

Answer:

11.37 lb-ft

Step-by-step explanation:

We are given that

Force,F=3 pounds

$\theta=42^(\circ)$

Let Point A (3,7) and point B(8,8)

We have to find the work done by the force.

$d=<(8-3)+(8-7)>=<5,1>$

$r=\mid d\mid=√(x^2+y^2)=√(5^2+1^2)=√(26)$ feet

We know that Work done by the force

$W=Frcos\theta$

Substitute the values

$W=3* √(26)cos42=11.37 lb-ft$

Hence, the work done by the force =11.37 lb-ft

Final answer:

The work done by a force of 3 pounds moving an object along a straight line from point (3,7) to (8,8) at an angle of 42 degrees with the horizontal is calculated to be approximately 11.7 foot-pounds.

Explanation:

The student's question relates to the concept of work done by a force. According to the equation for work, W = Fd cos θ, the work done by a force is the product of the magnitude of the force, the distance over which it acts and the cosine of the angle between the force and the displacement vectors. In this case, the force is 3 pounds, the displacement can be calculated using Pythagorean theorem from the points (3,7) to (8,8) yielding approximately 5.1 feet, and the angle with the horizontal is 42 degrees. Using these values, the work done can be calculated as:

W = 3 pounds * 5.1 feet * cos(42 degrees) = approximately 11.7 foot-pounds

Learn more about Work Done here:

brainly.com/question/35917320

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The temperature increases by 1/4 degree per hour. If it is 75 degrees at'8 AM, at what time will the temperature be 79 degrees?

Answers

It would be 12:00 AM

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