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Lerok [7]
3 years ago
14

Which answer represents the series in sigma notation?

Mathematics
1 answer:
Olegator [25]3 years ago
8 0
\displaystyle\sum_{j=1}^7\left(\frac14\right)^{j-1}
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Can somebody tell me the answer for these two questions or just the top one please
stepladder [879]

Answer:

V = 268.08 in^3

Step-by-step explanation:

that answer was for the first question. I do not know the second one I'm very sorry

6 0
3 years ago
What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?
vodomira [7]
<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

2m^2-16m=-8

Next, divide both sides by 2:

m^2-8m=-4

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

m^2-8m+16=12

Next, factor the left side:

(m-4)^2=12

Next, square root both sides of the equation:

m-4=\pm \sqrt{12}

Next, add 4 to both sides of the equation:

m=4\pm \sqrt{12}

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

  • Product rule of radicals: √ab = √a × √b

√12 = √4 × √3 = 2√3.

m=4\pm 2\sqrt{3}

<h2>Answer:</h2>

In exact form, your answer is m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}

In approximate form, your answers are (rounded to the hundreths) m=7.46, 0.54

6 0
3 years ago
A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins.
Taya2010 [7]

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4 0
3 years ago
What is the value of x when 9x=45
kkurt [141]

Answer:

5

Step-by-step explanation:

45 divided by 9= 5

6 0
3 years ago
Read 2 more answers
A student took a 20 question test. 16 of the questions were correct. What percent of the questions did the student get correct?
elena-14-01-66 [18.8K]

Answer:

80%

Step-by-step explanation:

16/20 = 0.80

80%

5 0
3 years ago
Read 2 more answers
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