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insens350 [35]
3 years ago
9

5 STARS!! What is the exact value of x? 4·6^3x=221

Mathematics
1 answer:
larisa [96]3 years ago
8 0
A,x=
log(55.25)  \div 3 log(6)
=0.7464,by the way
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A coupon subtracts $17.95 from the price p of a pair of headphones. You pay $71.80 for the headphones after using the coupon. Wr
Nady [450]

Answer:

x - 17.95 = 71.80, $89.75

Step-by-step explanation:

Let the original price of the headphones be x

Amount of coupon = $17.95

You pay the final amount for the headphones after using the coupon = $71.80

So to find the original price of the headphones, the equation will be

x - 17.95 = 71.80

x = 17.95 + 71.80

x = $89.75

The original price of the headphones would be $89.75

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Find the selling price of the following item.
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It is the one that is going to take over the world

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Find a1, for the arithmetic series<br> with S14 = - 420 and d = -6.
faust18 [17]

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} n = 14\\ d= -6 \end{cases} \\\\\\ a_{14}=a_1+(14-1)(-6)\implies a_{14}=a_1+(13)(-6)\implies a_{14}=a_1-78 \\\\[-0.35em] ~\dotfill

\bf \textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ \cline{1-1} n= 14\\ S_{14}=-420\\ a_{14}=a_1-78 \end{cases}\implies S_{14}=\cfrac{n(a_1+a_{14})}{2} \\\\\\ -420=\cfrac{14[a_1+(a_1-78)]}{2}\implies -420=7(2a_1-78)\implies \cfrac{-420}{7}=2a_1-78 \\\\\\ -60=2a_1-78\implies 18=2a_1\implies \cfrac{18}{2}=a_1\implies 9=a_1

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3 years ago
You are having a discussion about sequences with your classmate. She insists the the sequence 2,3,5,8,12 must be either arithmat
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The sequence is, in fact, quadratic. It is described by the equation
.. a[n] = (n*(n -1))/2 +2

First differences are increasing, so the sequence will not be arithmetic. An arithmetic sequence has constant first differences.

Second differences are constant, so the sequence will not be geometric. A geometric sequence will have first-, second-, third-differences, and those to any level, that have the same constant ratio as the terms of the original sequence.
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