MATHEMATICS HIGH SCHOOL

What is the sum of all the positive integers from square root 14 to square root 80

Answers

Answer 1
Answer:

The sum of all the positive integers from square root 14 to squareroot 80 is 30.

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

We need to find the sum of all the positive integers from square root 14 to squareroot 80.

√14 = 3.74

√80 = 8.94

Thus, √14 +√80

4 + 5+ 6 + 7 + 8

= 30

Therefore, the sum of all the positive integers from square root 14 to squareroot 80 is 30.

Learn more about perfect square;

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Answer 2
Answer:

Answer:

The sum is 30.

Step-by-step explanation:

√(14)=3.74\n√(80)=8.94\n4+5+6+7+8 = 30

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Which list shows the lengths from shortest to longest ? A. 0.2, 1/4, 3/8, 0.8, 7/8

B. 0.2, 1/4, 3/8, 7/8, 0.8

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D. 0.8, 1/4, 3/8, 0.2, 7/8

Answers

Answer:

It’s a

Step-by-step explanation:

Tell me if I’m wrong

What could be predicted if Elisondra and her friends use the spinner to decide who orders first during 40 visits? Check all that apply. a. A different person will order first every time. b. Elisondra will order first approximately 10 times. c. Diya will order first exactly 20 times. d. The spinner will land on Elisondra’s section 40 times. e. Each person will order first approximately the same number of times.

Answers

Answer:

b. Elisondra will order first approximately 10 times.

e. Each person will order first approximately the same number of times.

Missing Problem Statement:

Elisondra is eating at a restaurant with three friends. They want to choose at random who will order first. If you model the situation with the spinner, how many equal-sized sections should the spinner have?

What is the theoretical probability of the spinner landing on Elisondra's section?

Step-by-step explanation:

Now, before we proceed to the current options in the problem statement. We need to model the situation with the spinner, how many equal sized sections should spinner have?

Since Elisondra is with her 3 friends, so we have a total of 4 people.

So the spinner should have 4 equal sized sections

Theoretical Probability of spinner landing on Elisondra's section = (1)/(4)

In the given statement:

Spinner is used to decide who orders first during 40 visits.

The options that apply are:

B) Elisondra will order first approximately 10 times. As:

Theoretical Probability of spinner landing on Elisondra's section in 1 spin = (1)/(4)

Theoretical Probability of spinner landing on Elisondra's section in 40 spins = (40)/(4)=10 times

E) Each person will order first approximately the same number of times, as probability of any person ordering first is(1)/(4) in 1 spin.

Option (A), (C) and (D) do not apply as it is not possible.

Answer:

B) Elisondra will order first approximately 10 times.

E) Each person will order first approximately the same number of times.

Those two answers will help you certainly ! =w=

Step-by-step explanation: just did it!

1. Discuss the differences between the measurement of the surface area and the measurement of the volume of a right rectangular prism. Include the following topics in your discussion:• Description of regions that are measured
• Units for each type of measure and why the units are different
• Examples of when you would want to measure for each type of measure.

Answers

Surface area define or calculate the exact space that each face of the said shape is taken up while the volume is how much space is inside the said object. The area use the unit that is squared because it only measured 2 face in the shape while the volume measures 3 faces in the object. an example of an area is a card board area, while the volume is the glass of water.

Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 centimeters longer than twice the length of the first shelf. The third shelf is 12 centimeters shorter than the first shelf. The remaining shelf is 4 centimeters longer than the first shelf. If Robert must use the entire 2.5 meter board for the shelves, what is the length of the second shelf, in centimeters?

Answers

114cm /1.14m
If we call the length of the first shelf x, shelf two is 2x+18, shelf 3 is x-12 and shelf 4 is x+4.
The total length of board is 250cm
the total length of the shelves is 5x+10 and the whole board is used so 5x+10 = 250
5x = 240 (-10 from both sides)
x = 48 (divide both sides by 5)
board 2 is 2x+18
2 x = 96+18
      = 114cm

Which Expression is equivalent to (3x^(5) + 17 x^{3) -1) + (-2x^(5) -6)?

Answers

(3x^5+17x^3-1)+(-2x^5-6)\n\n=3x^5+17x^3-1-2x^5-6\n\n=x^5+17x^3-7

Using the factorised trinomial (n-2)(4n-7), prove that there are only two values of n for which 4 n^(2) - 15n + 14 is a prime number.

Answers

4n² - 15n + 14 is always the product of two numbers, for it to be prime number, one of these factors must be either 1 or -1.

Case n - 2 = 1
That would be n = 3
Then 4n² - 15n + 14 = 5 , which is prime.

Case n - 2 = -1
That would be n = 1
Then 4n² - 15n + 14 = 3, which is also prime.

Case 4n - 7 = 1
That would be n = 2 and that makes other factor (n-2) zero so it's not prime

Case 4n-7 = -1
That would be n = 3/2 which is not integer, so 4n² - 15n + 14 will not be interger.

For any other n values, 4n² - 15n + 14 will be composite number since it is product of two factors.

Therefore we are left with n = 1 and n = 3; only two values of n.
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