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abruzzese [7]
3 years ago
12

Which equation(s) represents a line that contains the point (-8,3) and is perpendicular to =4x - 7 ?

Mathematics
1 answer:
Alinara [238K]3 years ago
8 0
Y=-1/4x+1 , is the answer

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Find a closed form for the generating function for each of these sequences. (assume a general form for the terms of the sequence
noname [10]
There really is no single "obvious" choice here...

Possibly the sequence is periodic, with seven copies of -1 followed by six copies of 0, or perhaps seven -1s and seven 0s. Or maybe seven -1s, followed by six 0s, then five 1s, and so on, but after a certain point it would seem we have to have negative copies of a number, which is meaningless.

Or maybe it's not periodic, and every seventh value in the sequence is incremented by 1? Who knows?

I'll go ahead and assume the latter case, that the sequence is not periodic, since that's technically somewhat easier to manage. We can assign the following rule to the n-th term in the sequence:

\{a_n\}=\{-1,\ldots,-1,0,\ldots,0,1,\ldots,1,2,\ldots,2,3,\ldots\}
\implies a_n=\left\lfloor\dfrac n7\right\rfloor-1

for n\ge0.

So the generating function for this sequence might be

G(a_n;x)=\displaystyle\sum_{n\ge0}\left(\left\lfloor\frac n7\right\rfloor-1\right)x^n

As to what is meant by "closed form", I'm not sure. Would this answer be acceptable? Or do you need to find a possibly more tractable form for the coefficient not in terms of the floor function?
4 0
3 years ago
The volume of a cube shaped box is 27 cubic centimeters . What is the height of the box
Bad White [126]
V(cube)=a³=27
a=3
height =3cm
6 0
3 years ago
Read 2 more answers
George has 50,000in wage income ,20,000 in gambling winning .10,000 in alimony income and 5,000 in divided income the amount of
Softa [21]

The amount of George's income that is subject to withholding is <u>$75,000</u>, which excludes the alimony income.

<h3>What is alimony income?</h3>

Alimony income represents the amount received from a spouse or a former spouse under a divorce or separation instrument.

<h3>What are the incomes subject to withholding?</h3>

The incomes subject to withholding include the following:

  • Regular
  • Commissions
  • Vacation pay
  • Reimbursements
  • Other expense allowances
  • Pensions
  • Bonuses
  • Dividends
  • Gambling winnings.

<h3>Data and Calculations:</h3>

Wages income = $50,000

Gambling winning = $20,000

Alimony income = $10,000

Dividend income = $5,000

Income subject to withholding = $75,000 ($20,000 + $20,000 + $5,000)

Thus, George's income that is subject to withholding is <u>$75,000</u>, excluding the alimony income.

Learn more about withholding tax at brainly.com/question/26781826

#SPJ1

6 0
1 year ago
A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large
pychu [463]

Answer: 306

Step-by-step explanation:

8 0
3 years ago
2/3n + 5 greater than 12
Tanzania [10]
2/3n + 5 > 12
2/3n > 12 - 5
2/3n > 7
n > 7 * 3/2
n > 21/2 or 10 1/2
6 0
2 years ago
Read 2 more answers
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