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algol13
3 years ago
15

What is the coefficient

Mathematics
2 answers:
7nadin3 [17]3 years ago
7 0
It has to be answer B.
Vlada [557]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Using the Pascal's triangle

Pertaining to the 8th term the coefficients are;

1, 8, 28, 56, 70, 56,28, 8 and 1 in that order

Expanding this,

the coefficient of the term x^7y is 8

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Pipe A can fill a tank in 5 hours. Pipe B can fill it in 2 hours less time than it takes pipe C, a draining pipe, to empty the t
sukhopar [10]

Answer: Time taken by pipe C to empty the tank = 5 hours.

Step-by-step explanation:

Pipe A can fill a tank in 5 hours.

Let time taken by Pipe C = x ( hours)

Time taken by Pipe B = x-2 ( hours)

Now, with all 3 pipes open, it takes 3 hours to fill the tank, it can be represented as

\dfrac15+\dfrac1{x-2}-\dfrac1x=\dfrac 13\\\\\Rightarrow\ \dfrac{x-(x-2)}{x(x-2)}=\dfrac13-\dfrac15\\\\\Rightarrow\ \dfrac{x-x+2}{x^2-2x}=\dfrac{5-3}{15}\\\\\Rightarrow \dfrac{2}{x^2-2x}=\dfrac2{15}\\\\\Rightarrow\ x^2-2x=15\\\\\Rightarrow\ x^2-2x-15=0\\\\\Rightarrrow\ x^2-5x+3x-15=0\\\\\Rightarrow\ x(x-5)+3(x-5)=0\\\\\Rightarrow\ (x-5)(x+3)=0\\\\\Rightarrow\ x=5, -3

Time cannot be negative,

So, x=5

Thus, Time taken by pipe C to empty the tank = 5 hours.

8 0
3 years ago
John is hiking in the San Juan National Forest. Every 4 hours his elevation increases between 140 and 210 feet. 36 hours ago, Jo
Ksju [112]

Answer D. It is the closets answer to my calculations so im sorry if im wrong

8 0
3 years ago
A number x more than −13 as an expression
serg [7]

Answer:

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General Formulas and Concepts:

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Translate</u>

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"more than" is >

"-13" = -13

<u>Step 2: Combine</u>

x > -13

And we have our final answer!

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Marysya12 [62]
It’s correct.
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4 0
3 years ago
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givi [52]
H(x) = 14x + 42
i hope this helped
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3 years ago
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