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jolli1 [7]
3 years ago
15

Suppose there are 106 (1 million) asteroids that are 0.87 km in radius. If they were all combined into a single sphere, calculat

e the radius of this sphere in km.
Mathematics
1 answer:
Eduardwww [97]3 years ago
8 0

Answer:

87km

Step-by-step explanation:

Volume is proportional to radius cubed, so radius is proportional to the cube root of volume.

Increase volume by a factor of 10^6 and radius increases by a factor of the cube root of 10^6, which is 10^(6/3) = 10^2 = 100.

100 * 0.87 km = 87 km

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Tia is making lemonade for a baseball tournament. The recipe calls for 2/3 cup of strawberries for each gallon of lemonade. She
antoniya [11.8K]

Given:

The recipe calls for \dfrac{2}{3} cup of strawberries for each gallon of lemonade.

Tia has 6 cups of strawberries.

To find:

The number of gallons of lemonade she can make.

Solution:

We have,

\dfrac{2}{3} cup of strawberries for = 1 gallon of lemonade

1 cup of strawberries for = \dfrac{1}{\frac{2}{3}} gallons of lemonade

                                        = 1\times \dfrac{3}{2} gallons of lemonade

                                       = \dfrac{3}{2} gallons of lemonade

6 cup of strawberries for = 6\times \dfrac{3}{2} gallons of lemonade

                                         = \dfrac{18}{2} gallons of lemonade

                                        = 9 gallons of lemonade

Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.

7 0
2 years ago
Me Thomas places order for pencils with the school emblem the order includes 15boxes of pencils and each box hold 25 pencils how
LenaWriter [7]
You'd times15x25 and you'll gladly get the answer
8 0
3 years ago
When a teacher in a private school points out to her high school principal that since there are empty seats in all classrooms, t
Minchanka [31]

Answer:

The answer is "Principal of marginal analysis".

Step-by-step explanation:

To determine unless the benefits of even an aggressive resource would outweigh its costs, and therefore increase utility, individuals and businesses can use a valuation model to compare the risks versus the benefits of more activities, like whether to create or consuming more. It's the amount during which net value is greater than or equal to marginal cost that's the optimal quantity in this situation. The amount where the marginal social cost curve and consumer surplus line connect.

5 0
3 years ago
Can someone solve this with steps cause idk how to solve the radicals
IceJOKER [234]
\bf 343^{\frac{2}{3}}+36^{\frac{1}{2}}-256^{\frac{3}{4}}\qquad \begin{cases}
343=7\cdot 7\cdot 7\\
\qquad 7^3\\
36=6\cdot 6\\
\qquad 6^2\\
256=4\cdot 4\cdot 4\cdot 4\\
\qquad 4^4
\end{cases}\\\\\\ (7^3)^{\frac{2}{3}}+(6^2)^{\frac{1}{2}}-(4^4)^{\frac{3}{4}}
\\\\\\
\sqrt[3]{(7^3)^2}+\sqrt[2]{(6^2)^1}-\sqrt[4]{(4^4)^3}\implies \sqrt[3]{(7^2)^3}+\sqrt[2]{(6^1)^2}-\sqrt[4]{(4^3)^4}
\\\\\\
7^2+6-4^3\implies 49+6-64\implies -9


to see what you can take out of the radical, you can always do a quick "prime factoring" of the values, that way you can break it in factors to see who is what.
8 0
3 years ago
What is the product of (5-2i)(3i)?
lora16 [44]
Search it up on safari and you’ll find the answer
6 0
3 years ago
Read 2 more answers
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