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3 years ago

What is the volume of a sphere with a radius of 34.2 m, rounded to the

Mathematics

1 answer:

artcher [175]3 years ago

4 0

Answer:

1.68×10^5

Step-by-step explanation:

Volume formula for a sphere= 4/3πr^3

Radius= 34.2

Plug in the radius into the formula to get your answer.

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A particular isotope has a half-life of 74 days. If you start with 1 kilogram of this isotope, how much will remain after 150

shtirl [24]

$\bf \stackrel{150~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &150\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{150}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{75}{37}}\implies \boxed{A\approx 0.24536}$

$\bf \stackrel{300~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &300\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{300}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{150}{37}}\implies \boxed{A\approx 0.060202}$

6 0

3 years ago

Find the volume of this figure and show your work

mario62 [17]

Answer:

Step-by-step explanation:

The answer is 10 because there are five stacks of 2 cubes. 5 x 2 = 10.

4 0

3 years ago

If RS=TU, then RS+XY=TU+XY

mafiozo [28]

Answer:

what is the question lol

Step-by-step explanation:

6 0

3 years ago

3. Jenny puts two wooden blocks together. One block has a length of 5 in., a width of 4 in., and a

Mazyrski [523]

Answer:

140 inches cubed

Step-by-step explanation:

Use the formula V = length * width * height to find the volumes of each block, then add them together to get the combined volume. So, (5 * 4 * 5) + (4 * 5 * 2) = 140 inches cubed, which is the combined volume.

Hopefully this helps- let me know if you have any questions!

3 0

2 years ago

If there are 40 boys and 20 girls in a room, fill out all possible ratios of boys to girls that could be made.

marysya [2.9K]

Answer:

Step-by-step explanation:

A ratio compares two quantities in terms of multiplication. For example, suppose that there are 10 boys and 15 girls in a classroom. One way, not using ratios, to compare these quantities would be to say that there are 5 more girls than boys in the classroom. To employ a ratio, we say that the ratio of boys to girls is 10 to 15, or 2 to 3. In other words, for every 2 boys in the classroom, there are 3 girls.

In your case, for every 40 boys, there are 20 girls. if we simplify this all the way down, we can get 2 to 1.

All of the following are ratios that apply to your question:

40 to 20

20 to 10

10 to 5

4 to 2

2 to 1

I hope I helped you out! <3

7 0

3 years ago

Read 2 more answers