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STatiana [176]
3 years ago
14

Emily is training for a 10K race. On day one, she runs for 20 minutes. On day two, she runs for 30 minutes. On day three, she ru

ns for 40 minutes. If this pattern continues, how many minutes will she run on day 12?
Mathematics
1 answer:
Shalnov [3]3 years ago
6 0

Answer:

130

Step-by-step explanation:

:0

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Which irrational number can be added to pi to get a sum that is rational?
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The irrational number that can be added to pi to get a rational sum is PI.
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The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv
kari74 [83]
The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or 2^6 = 64 miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship x * 2^6 = k, for some constant k. 

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

\dfrac{x}{2^6} =  \dfrac{15x}{y^6}  \\ (x)(y^6)=(2^6)(15x)

Cancelling our x's (because we don't need to solve for them), we have

y^6 = 15(2^6) = 15(64)=960

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

\sqrt[6]{y^6} =  \sqrt[6]{960}

Using a calculator, we see that \sqrt[6]{960} = 3.14 \ miles \ per \ hour.
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in any strategic-form game, if a player has a dominant strategy, then all of the other strategies of that player are dominated (
Vsevolod [243]

Answer:

Dominant strategy is an in game theory that refers to the optimal option for a player among all the competitive strategies, <em>no matter how that player's opponents may play</em><em>.</em><em> </em>

7 0
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23 and 2 tens is 23 and 20 which equals 53

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Which of the following could be the lengths of the sides of a 45°-45°-90° triangle?
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I think the answer is c
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