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dem82 [27]
3 years ago
9

Write the equation of the line

Mathematics
1 answer:
zysi [14]3 years ago
8 0

-6 minus 6=0 i think it is correct

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An insurance office has 65 employees. If 39 of the employees have cellular​ phones, what portion of the employees do not have ce
Vsevolod [243]
65-39=26 so 26 employess dont have cellular phones. So 26/65 or in simplified form 2/5
7 0
3 years ago
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Write an equivalent expressions 48 + 18x
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If you factor it, you can get an equation that is equivalent. So take out a 6. that leaves you with 6(8+3x)
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How do I ace a test that I am not prepared for?
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4 0
3 years ago
Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5
zaharov [31]

Answer:

31

Step-by-step explanation:

The series are given as geometric series because these terms have common ratio and not common difference.

Our common ratio is 2 because:

1*2 = 2

2*2 = 4

The summation formula for geometric series (r ≠ 1) is:

\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}} or \displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}

You may use either one of these formulas but I’ll use the first formula.

We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.

\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}

Therefore, the solution is 31.

__________________________________________________________

Summary

If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.

Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as \displaystyle \large{a_{n-1} \cdot r = a_n} meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:

\displaystyle \large{r=\frac{a_{n+1}}{a_n}}

Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:

\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}\\\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}

Above should be applied for series that have common ratio not equal to 1.

\displaystyle \large{S_n=a_1 \cdot n}

Above should be applied for series that have common ratio exactly equal to 1.

__________________________________________________________

Topics

Sequence & Series — Geometric Series

__________________________________________________________

Others

Let me know if you have any doubts about my answer, explanation or this question through comment!

__________________________________________________________

7 0
2 years ago
Evaluate 3^2 + (7 − 2) ⋅ 4 − 6 over 3
goldfiish [28.3K]

Answer:

7.7

Step-by-step explanation:

we basically follow the BEDMAS rule

1st we workout the bracket (7-2)=5

2nd the exponent 3^2=9

3rd the multiplication (7-2) . 4 = 5 . 4 = 20

4th addition 9+20=29

5th step is subtraction 29-6=23

the final step is dividing 23 by 3, which will become 7.7

6 0
2 years ago
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