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3 years ago

6

What is approximately equal to

alt=" \sqrt{47} " align="absmiddle" class="latex-formula">
A: 40
B: 7
C: 16
D: 9.4

1 answer:

liq [111]3 years ago

3 0

Answer:

d

Step-by-step explanation:

d

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Suppose that $p$ and $q$ are positive numbers for which \[\log_9 p = \log_{12} q = \log_{16} (p + q).\] what is the value of $q/

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Given $p,q>0$ and $\log_9p=\log_{12}q=\log_{16}(p+q)=x$ (say).

Then,

$p=9^x\\ q=12^x\\ p+q=16^x$

From the above 3 equations,

$\frac{q}{p} =(\frac{12}{9} )^x\\ \frac{q}{p} =(\frac{4}{3} )^x\\ \frac{p+q}{p} =(\frac{16}{9} )^x\\ \frac{p+q}{p} =(\frac{4}{3} )^{2x}\\$

From the equations, we get

$\frac{p+q}{p}=(\frac{q}{p})^2\\ 1+\frac{q}{p}=(\frac{q}{p})^2\\ (\frac{q}{p})^2-\frac{q}{p}-1=0\\ \frac{q}{p}=\frac{1 \pm \sqrt{5}}{2}$

Since $p,q>0$ , the negative value is rejected.

$\frac{q}{p}=\frac{1 + \sqrt{5}}{2}$

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4 years ago

2n-3 sequence 1st term

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First term = 2(1) - 3 = 2 - 3 = -1

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4 years ago

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Answer:

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88 / 2 = 44

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You put the names of all the students in your class in a paper bag. There are 19 boys and 12 girls. If you draw a name at random

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Answer:

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Step-by-step explanation:

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Read 2 more answers