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4 years ago

One of the best ways to prevent workplace violence is to recognize the warning signs.

Mathematics

2 answers:

den301095 [7]4 years ago

8 0

Hey there!

I believe the answer is true

Hope it helped!

choli [55]4 years ago

7 0

The correct answer is, true.

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Given the Arithmetic series A1+A2+A3+A4 7 + 11 + 15 + 19 + . . . + 91 What is the value of sum?

aivan3 [116]

Answer:

The value of the sum is 1078

Step-by-step explanation:

* Lets revise how to find the sum of the arithmetic series

- In the arithmetic series there is a constant difference between each

two consecutive terms

- Ex:

# 4 , 9 , 14 , 19 , 24 , .......... (+ 5)

# 25 , 15 , 5 , -5 , -15 , .......... (-10)

- So if the first term is a and the constant difference between each two

consecutive terms is d, then

U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , ..........

- Then the nth term is Un = a + (n - 1)d

- The sum of n terms is Sn = n/2[a + L] , where L is the last term in

the series

* Lets solve the problem

∵ The arithmetic series is 7 + 11 + 15 + 19 + ......................... + 91

∴ The first term (a) is 7

∴ The last term is (L) 91

- Lets find the constant difference

∵ 11 - 7 = 4 and 15 - 11 = 4

∴ The constant difference (d) is 4

- Lets find the sum of the series from 7 to 91

∵ Sn = n/2[a + L]

∵ a = 7 and L = 91

∴ Sn = n/2[7 + 91]

- We need to know how many terms in the series

∵ L is the last term and equals 91 lets find its position in the series

∵ Un = a + (n - 1)d

∵ a = 7 , d = 4 and Un = 91

∴ 91 = 7 + (n - 1)(4) ⇒ subtract 7 from both sides

∴ 84 = (n - 1)(4) ⇒ divide both sides by 4

∴ 21 = n - 1 ⇒ add 1 to both sides

∴ n = 22

∴ The number of the terms in the series is 22

- Lets find the sum of the 22 terms (S22)

∴ S22 = 22/2[7 + 91]

∴S22 = 11[98] = 1078

* The value of the sum is 1078

4 0

3 years ago

If you throw exactly one head in three tosses of a coin you win $28. if not, you pay me $12.

Olenka [21]

12345

Step-by-step explanation:

1 learn

2dont play any game

3study first

4read books

5read the math book

3 0

2 years ago

2. Carbohydrates are found in many foods. What is the end result of the body's use of a

nekit [7.7K]

Answer: the end result of carbohydrate is glucose, carbohydrates enhances energy and sugar levels.

Step-by-step explanation:

Major sources of carbohydrates are vegetables, fruits, whole grains, milk, and milk products. Carbohydrates at the chemical level contains carbon, hydrogen and oxygen.

5 0

4 years ago

The graph below represents the distance of a dog from a trainer after a command is given.

GuDViN [60]

Answer:

Step-by-step explanation:

5 0

3 years ago

A rectangular prism has a length of 12 feet, a width of 6 feet, and a height of 2 feet.

aliina [53]

The volume of the prism is 144 ft^3. If we use the letter V to represent volume, the formula for the volume of a rectangular prism is V=length*width*height. When you plug in the numbers, the equation is V=12*6*2. When you multiply these three numbers together, you get 144. Because you are finding the volume, your units are cubed, so your answer is 144 ft^3. I have attached an image of this problem written out (I’m sorry if the image is bad, I drew it on my phone). If you need any more help or any clarification, please let me know and I will be happy to help!

3 0

3 years ago