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Ulleksa [173]
3 years ago
11

. A colony of bacteria triples every hour. If

Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Answer:

a)60, b)14580, c)20*3^n

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The ratio of the sides of 2 cubes is 2 to 7. If the volume of the smaller cube is 32 u3, then the volume of the larger cube is _
satela [25.4K]
\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\

\bf \cfrac{small}{large}\qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{2}{7}=\cfrac{\sqrt[3]{32}}{\sqrt[3]{v}}\implies \cfrac{2}{7}=\sqrt[3]{\cfrac{32}{v}}\implies \left( \cfrac{2}{7} \right)^3=\cfrac{32}{v}
\\\\\\
\cfrac{2^3}{7^3}=\cfrac{32}{v}\implies v=\cfrac{7^3\cdot 32}{2^3}
5 0
3 years ago
Gabby saved up her money and bought a model train. Each of the 8 cars on the train
shusha [124]

Answer:

Each car is 4.5 inches, but I'm not sure what your question is.

Step-by-step explanation:

7 0
3 years ago
Please I need your help on this.
just olya [345]

Answer:

the answer is 7 7/8

Step-by-step explanation:

1.  you will need to change the fractions into an improper fraction.

2. you need to then multiply the numerator and denominator to get a 63/8

3. change 63/8 into a mixed fraction leaving you with 7 7/8

8 0
3 years ago
NEED HELP PLEASE ASAP!!!
Blababa [14]

Answer:

13.5

Step-by-step explanation:

213.21/15.8 --->  ((213.21)100)/((15.8)100)

21321/1580 = 13 R 781.

781/1580 = 0.49~~~

We only need to be concerned about the tenth and hundredth place digits.

The decimal tells us that it rounds up from 4, so it's 5.

Thus, the answers 13+0.5, which is 13.5

7 0
1 year ago
Describe the transformation that maps the pre-image A to the image A.
jolli1 [7]

Answer:

C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin

Step-by-step explanation:

by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin

3 0
2 years ago
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