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faust18 [17]
3 years ago
8

The sum of the first 150 negative integers is represented using the expression What is the sum of the first 150 negative integer

s? A. –22,650 B. –22,350 C. –11,325 D. –11,175

Mathematics
2 answers:
Rasek [7]3 years ago
8 0

Answer:

C

Step-by-step explanation:

E2020

Kamila [148]3 years ago
7 0

Answer:

C. -11,325

Step-by-step explanation:

  • To know the answer, is convenient to replace some values of "n" in the sum \sum_{(n=1)}^{150}[-1-(n-1)].
  • The result would appear after adding up every value of the expression \sum_{(n=1)}^{150}[-1-(n-1)] when n=1,2,3.....,150.
  • When n=1, the expression takes the value of (-1): [-1-(1-1)]= (-1)-0=-1.
  • When n=2, the expression takes the value of (-2): [-1-(2-1)]=-1-1=-2.
  • Following this way, for every n, we will obtain -n, then, the sum will be: -1-2-3-4-5-6-...-150. This sum can actually be expressed as \sum_{n=1}^{150}(-n), which is the result of solving the initial expression of the sum -1-(n-1)=-1-n+1=-n.
  • Finally, the sum of n=-1 to n=-150 equals -11,325.
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F(x){3/4x+2 If x≠2<br> {-4. If x=2 <br> Whats f(-5), f(2),f(4)
satela [25.4K]

The values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.

<h3>What is a function?</h3>

A function is a rule or expression showing the relationship between a dependent and independent variable.

We have the function to be;

f(x) = 3/ 4(x + 2)

Let's find f(-5), substitute the value of x as -5

f(-5) = 3/ 4 ( -5 + 2)

f(-5) = 3/ 4 × -3

f(-5)  = -1/ 4

f(2), substitute the value of x as  2

f(2) = 3/ 4(2 + 2)

f(2) = 3/ 4 (4)

f(2) = 3/ 16

f(4) = 3/ 4 ( 4 + 2)

f(4) = 3/ 4(6)

f(4)  = 3/ 8

Thus, the values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.

Learn more about functions here:

brainly.com/question/4025726

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7 0
2 years ago
Integers that are not whole numbers
zubka84 [21]
Integers that are not whole numbers are like -5 -8 -7 and etc...
8 0
3 years ago
Pls help me not fail
nignag [31]

Answer:

D

Step-by-step explanation:

Using the Cosine rule to find AC

AC² = BC² + AB² - (2 × BC × AB × cosB )

      = 18² + 12² - ( 2 × 18 × 12 × cos75° )

      = 324 + 144 - 432cos75°

      = 468 - 111.8

      = 356.2 ( take the square root of both sides )

AC = \sqrt{356.2} ≈ 18.9

-----------------------------------------

Using the Sine rule to find ∠ A

\frac{18}{sinA} = \frac{18.9}{sin75} ( cross- multiply )

18.9 sinA = 18 sin75° ( divide both sides by 18.9 )

sinA = \frac{18sin75}{18.9} , then

∠ A = sin^{-1} ( \frac{18sin75}{18.9} ) ≈ 66.9°

4 0
3 years ago
H - 16 &lt; -24<br> solve this expression
Vikki [24]

Answer:

h < -8

Step-by-step explanation:

Add -16 to both sides to solve for h.

h - 16 + 16 < -24 + 16

h < -8

4 0
3 years ago
Your employer pays 75% of your health insurance premium. If the annual premium is $2530, and you are paid weekly, how much is de
MAVERICK [17]
** Calculation is based on 52 weeks per year. 

\smile \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile

     \boxed {Annual \ Premium \ = \$2530}

Your employer is paying 75% of the Premium: 
     \boxed {75\% \ of \ \$2530 \ = \ 0.75 \times 2530\  = \ \$1897.50}

Amount you need to pay:
   \boxed { \$2530 - \$1897.50 = \$632.50}

Amount needed to be deducted weekly from paycheck:
   \boxed{ \$632.50 \div \ 52 = \$12.16}


\Bigg(     \boxed{ \boxed {Ans: \$12.16 }} \Bigg)
5 0
3 years ago
Read 2 more answers
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