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alukav5142 [94]
3 years ago
9

A population of flies, P, over a given amount of time, x, is modeled by the expression

Mathematics
1 answer:
ra1l [238]3 years ago
7 0
Do you know what you are suppose to do first

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Complete the pattern 650 6.5
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I think the next one is,65.0
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Factor by first factoring out the greatest comImon factor 15x-55x 20 ​
Bingel [31]

Answer:

Greatest common factor is 5

Step-by-step explanation:

5 goes into each of the coefficients.

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Solve this question with Statements and reasoning.
qaws [65]

Here

\\ \sf\longmapsto PD\cong PC

As

P is the midpoint of AC and BD

\\ \sf\longmapsto AC=BD

\\ \sf\longmapsto AP+PC=PD+BP

  • Put PD=PC

\\ \sf\longmapsto AP+PC=PC+PB

  • Cancel PC

\\ \sf\longmapsto AP=BP(Proved)

4 0
3 years ago
What is the inverse of f (x) = x-8/3
liq [111]

Answer:

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√x+8 f - 1 ( x ) = x 3 + 8 is the inverse of f(x)=(x−8)3 f ( x ) = ( x - 8 ) 3 .

5 0
2 years ago
Find the sum of the first 8 terms of the following series, to the nearest integer.
motikmotik

Answer:

The sum of the first 8 terms will be:

  • \frac{1288991}{7776}

Step-by-step explanation:

Given the sequence

36, 30, 25, ...

A geometric sequence has a constant ratio and is defined by

a_n=a_0\cdot r^{n-1}

computing the common ratio

\frac{30}{36}=\frac{5}{6},\:\quad \frac{25}{30}=\frac{5}{6}

r=\frac{5}{6}

As the first element is

a_1=36

so the nth term will be:

a_n=a_0\cdot r^{n-1}

a_n=36\left(\frac{5}{6}\right)^{n-1}

Geometric sequence sum formula

a_1\frac{1-r^n}{1-r}

Plugin the values to determine the sum of the first 8 terms

n=8,\:\spacea_1=36,\:\spacer=\frac{5}{6}

=36\cdot \frac{1-\left(\frac{5}{6}\right)^8}{1-\frac{5}{6}}

=\frac{\left(1-\left(\frac{5}{6}\right)^8\right)\cdot \:36}{1-\frac{5}{6}}    

=\frac{36\left(-\left(\frac{5}{6}\right)^8+1\right)}{\frac{1}{6}}

=\frac{36\left(-\frac{390625}{1679616}+1\right)}{\frac{1}{6}}

=\frac{\left(1-\frac{390625}{1679616}\right)\cdot \:36\cdot \:6}{1}

=\frac{216\left(-\frac{390625}{1679616}+1\right)}{1}

=\frac{216\cdot \frac{1288991}{1679616}}{1}

=216\cdot \frac{1288991}{1679616}

=\frac{1288991\cdot \:216}{1679616}

=\frac{278422056}{1679616}

=\frac{1288991}{7776}

 Therefore, the sum of the first 8 terms will be:

  • \frac{1288991}{7776}
7 0
3 years ago
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