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Oksi-84 [34.3K]
3 years ago
5

What is the sum of the n terms of the series 5 10 20 40 . . . ?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
5 0
Hello,

5+10+20+40+...\\
=5(1+2+2^2+2^3+...+2^{n-1})\\

=5*\frac{5^n-1}{4}

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Nolan has some nickels and some dimes. He has no more than 19 coins worth no less than $1.30 combined. If Nolan has 5 nickels, d
Allushta [10]

Answer:

number of dimes 11 to 14

Step-by-step explanation:

given data

coin = 19

worth no less = $1.30

Nolan nickles = 5

solution

we convert 5 cent to dollars, it will be

5÷100 = $0.05

and

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so it will be 10 ÷ 100 = $0.1

so we consider here x as the number when nickels.

and we consider y as the number of dimes.

so here we can say

x + y ≤ 19      ..........................1

as here no less than $1.30 combined.

so

0.05 x + 0.1 y ≥ 1.3       ......................2

and

when Nolan has 5 nickels

put x = 5 in eq 1

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y ≤ 19 - 5

y ≤ 14

and

now we put x = 5 in eq 2

0.05 × 5 + 0.1y ≥ 1.3

0.25 + 0.1y ≥ 1.3

0.1y ≥ 1.3 - 0.25

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7 0
3 years ago
Please help!! the table shows the number of hours that a group of friends spent in their first week training to run a marathon.
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So if they all add 4 hours to their time then they have:
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Now to find the median you put all the numbers in order from least to greatest: 9;9;9;11;11;13;14 and you take the number in the middle but since both 11 and 11 are in the middle you take the mean of them and the mean of them is 11 so the median of the numbers is 11

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and last the mode is the number that is repeated most out of all the numbers so the mode would be 9
8 0
3 years ago
An aquarium 5 ft long, 3 ft wide, and 5 ft deep is full of water. (Recall that the weight density of water is 62.5 lb/ft3.) (a)
Cerrena [4.2K]

Answer:

a) hydrostatic pressure at bottom = 10054.375 lb/ft-s2

b) hydrostatic force at bottom = 150815.625 lb-ft/s2

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Step-by-step explanation:

Detailed explanation and calculation is shown in the image below

8 0
3 years ago
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WILL GIVE BRAINEST <br><br>Let f(x)=7x-4<br><br>what is f(6)<br><br>a.48<br>b.42<br>c.38<br>d.46
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F(6) = 7(6) - 4

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Hope this helps!
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