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s2008m [1.1K]
3 years ago
14

Please help me with number nine! Thank you!

Mathematics
1 answer:
nekit [7.7K]3 years ago
7 0

\heartsuit  2(4x + 7) - 3(2x - 4)

\heartsuit  8x + 14 - (6x - 12)

\heartsuit  8x + 14 - 6x + 12

\heartsuit  2x + 26

\heartsuit  C is the Answer

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What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-
Rudiy27

The sum of the infinite geometric series is -288.

<h2>Given that</h2>

A finite geometric series with n = 4, a₁ = -144, and r = ½.

<h3>We have to determine</h3>

What is the sum of the infinite geometric series?

<h3>According to the question</h3>

The sum of the infinite is determined by the following formula;

\rm S_\infty = \dfrac{a_1(1-r^n)}{1-r}<em />

A finite geometric series with n = 4, a₁ = -144, and r = ½.

Substitute all the values in the formula;

\rm \rm S_\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\&#10;S\infty = \dfrac{-144(1-\dfrac{1}{2}^{4})}{1-\dfrac{1}{2}}\\\\ \rm S_\infty = \dfrac{-144 \times \dfrac{15}{16}}{\dfrac{1}{2}}\\\\ \rm S_\infty = -270

Therefore,

The sum of the infinite geometric series is,

\rm S = \dfrac{a_1}{1-r}\\&#10;\\&#10;S = \dfrac{-144}{1-\dfrac{1}{2}}\\&#10;\\&#10;S = \dfrac{-144}{0.5}\\&#10;\\&#10;S = -288

Hence, the sum of the infinite geometric series is -288.

To know more about Geometric Series click the link given below.

brainly.com/question/16037289

6 0
3 years ago
4. In 2003, Mississippi’s labor force totaled
bearhunter [10]

employed: 1,312,700 people

  • total people : 1,312,700

  • unemployment : 5.6%

  • employed : 100% - 5.6% = 94.4%

employed people:

  • 94.4% * 1,312,700
  • 1239188.8
  • ≈ 1239189 people
8 0
2 years ago
Read 2 more answers
QUESTION 5 The lengths of the legs of a right triangle are 9 cm and 40 cm. What is the length of the hypotenuse? 41 cm 65 cm 49
GREYUIT [131]
Using Pythagoras' Theorem

c {}^{2}  = 9^{2}  +  {40}^{2}
c =  \sqrt{81 + 1600 }
c = 41

So, the answer is 41 cm.
C refers to the hypotenuse
6 0
3 years ago
Read 2 more answers
Please help! I will mark brainliest! No random answers please
enot [183]

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
In Exercise, use the properties of exponents to simplify the expression.<br> (e1/2)(e4)
iogann1982 [59]

Answer:

e^{9/2}

Step-by-step explanation:

Let's consider the following expression.

(e^{1/2})(e^{4} )

We will use the Product of Powers Property. This property states that to multiply powers having the same base, we have to add the exponents.

(e^{1/2})(e^{4} )=e^{1/2+4} =e^{1/2+8/2}=e^{9/2}

The simplified expression is e^{9/2}.

7 0
3 years ago
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