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Ipatiy [6.2K]
3 years ago
15

Find the ninth partial sum of infinite sumnation 3i-4

Mathematics
1 answer:
snow_tiger [21]3 years ago
3 0
\bf \sum\limits_{i=1}^9\ 3i-4\implies \sum\limits_{i=1}^9\ 3i-\sum\limits_{i=1}^9\ 4\implies 3\sum\limits_{i=1}^9\ i-\sum\limits_{i=1}^9\ 4
\\\\\\
3\cdot  \cfrac{9(9+1)}{2}-(9\cdot 4)

and surely you know how much that is.
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Ricardo has 2020 coins, some of which are pennies (1-сent coins) and the rest of which are
r-ruslan [8.4K]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
A lawn mower is pushed a distance of 100 ft. Along a horizontal path by a constant force of 60 lbs. Yhe handle of the lawn mower
stira [4]
For this case we have the following equation:
 w = F • PQ
 Where,
 w: work done
 F: is the force vector
 PQ: is the vector of the direction of movement.
 Rewriting the equation we have:
 w = || F || • || PQ || costheta
 Substituting values:
 w = (60) * (100) * (cos (45))
 w = (60) * (100) * (root (2) / 2)
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 Answer:
 
The work done pushing the lawn mower is:
 
w = 4242.6 lb.ft
7 0
3 years ago
What is the first step in solving the equation?<br><br> 14 = -2m
ollegr [7]

Answer:

first you need to divide each side by -2

Step-by-step explanation:

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7 0
3 years ago
No work needs to be shown. just please help.
coldgirl [10]

Answer:

a=13

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Step-by-step explanation:

4 0
4 years ago
What two rational expressions sum to <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4x%2B2%7D%7Bx%5E%7B2%7D-9%2B8%20%7D" id="TexFor
bulgar [2K]

Answer:

\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}

Step-by-step explanation:

Given

\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}

Required

Fill in the gaps

Going by the given parameters, we have that

\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}

x^2 - 9x + 8, when factorized is (x-1)(x-8)

Hence; the expression becomes

\frac{4x+2}{(x-1)(x-8)} = \frac{A}{(x-8)(x-1)} + \frac{B}{(x-1)(x-8)}

Combine Fractions

\frac{4x+2}{(x-1)(x-8)} = \frac{A + B}{(x-8)(x-1)}

Simplify the denominators

4x + 2 = A + B

By direct comparison

A = 4x

B = 2

Hence, the complete expression is

\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}

3 0
4 years ago
Read 2 more answers
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