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3 years ago

In a lab experiment, 5400 bacteria are placed in a petri dish. The conditions are such

Mathematics

1 answer:

ser-zykov [4K]3 years ago

6 0

Answer:

it’s 102747.494736, estimate is 102747

Step-by-step explanation:

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Find the product. (-2x^2 )^3 ·3 x

jeka94

Assignment: $\bold{Solve \ \left(-2x^2\right)^3\cdot \:3x}$

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Answer: $\boxed{\bold{-24x^7}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Rewrite $\bold{\left(-2x^2\right)^3}$

$\bold{-2^3\left(x^2\right)^3}$

[ Step Two ] Rewrite Equation

$\bold{-2^3\cdot \:3x^6x}$

[ Step Three ] Apply Exponent Rule

Note: $\bold{Exponent \ Rule \ \:a^b\cdot \:a^c=a^{b+c}: \ x^6x=\:x^{6+1}=\:x^7}$

$\bold{-2^3\cdot \:3x^7}$

[ Step Four ] Refine

$\bold{-24x^7}$

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$\bold{\rightarrow Rhythm \ Bot \leftarrow}$

4 0

3 years ago

Read 2 more answers

Which ordered pair is a solution of the equation?

Leno4ka [110]

Yes papa papa daddy daddy lol yeah bye yeah yeah bye

6 0

3 years ago

By what percent change if the numerator is decreased by 10% and the denominator is decreased by 70%

hjlf

Answer:

It increases x3.

Step-by-step explanation:

Let's say the fraction to begin with was 100/100. Ignore the fact that it isn't fully reduced and it is an improper fraction.

10% of 100 is 10, so the numerator is now 90 (decrease=get smaller; 100-10=90).

70% of 100 is 70, so the denominator is now 30 (decrease=get smaller; 100-70=30).

Our fraction is now 90/30 which, when fully reduced, equals 3.00. Since 100/100 equals 1.00, it has increased by 2.00 (3x bigger).

6 0

3 years ago

The product of five times p and seven times q is

enot [183]

Answer:

Step-by-step explanation:

(5p)(7q)=35pq

7 0

3 years ago

Read 2 more answers

Find the coordinates of the point three tenths<br><br> of the way from A(-4, -8) to B(11, 7)

Leviafan [203]

let's first off take a peek at those values.

let's say the point with those coordinates is point C, so C is 3/10 of the way from A to B.

meaning, we take the segment AB and cut it in 10 equal pieces, AC takes 3 pieces, and CB takes 7 pieces, namely AC and CB are at a 3:7 ratio.

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-4,-8)\qquad B(11,7)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{3:7}
\\\\\\
\cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(-4,-8)=3(11,7)\\\\[-0.35em]
~\dotfill\\\\
C=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em]
~\dotfill$

$\bf C=\left(\cfrac{(7\cdot -4)+(3\cdot 11)}{3+7}\quad ,\quad \cfrac{(7\cdot -8)+(3\cdot 7)}{3+7}\right)
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C=\left( \cfrac{-28+33}{10}~~,~~\cfrac{-56+21}{10} \right)\implies C=\left( \cfrac{5}{10}~~,~~\cfrac{-35}{10} \right)
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill C=\left( \frac{1}{2}~,~-\frac{7}{2} \right)~\hfill$

4 0

3 years ago