Assuming there are no ties
Answer:
980100
Step-by-step explanation:
Let's start with the boys(we could also start with girls, it doesn't matter).
We can "choose" one of 11 boys for the gold medal. That athlete can't win any more medals, so there are 10 boys left.
We can then "choose" one of the 10 boys remaining for the silver medal. That athlete can't win any more medals, so there are 9 boys left.
We can lastly "choose" one of the 9 boys remaining for the bronze medal.
That makes 11 possible choices for gold medal * 10 possible choices for silver medal * 9 possible choices for bronze medal = 990 possible choices(for boys).
We can do the exact same for the girls, leaving us with 990 possible choices for the girls.
We then multiply the possible choices together to get 990*990=980100 possible ways to hand out the six medals
The d value is going to be -3 because you have to compute the differences of all the adjacent terms. 2-5=-3 -1-2=-3 -4-(-1)=-3 -7-(-4)=-3 The difference between all the adjacent terms is the same and equal to -3
Answer:
- 8π radians/second
- 527.8 meters
Step-by-step explanation:
A) The angular velocity is the ratio of angular distance to time:
ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)
ω = 8π radians/second
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B) The arc length is ...
s = rθ = rωt
s = (35 cm)(8π rad/s)(60 s) = 16,800π cm
s ≈ 52779 cm = 527.79 m
The wheel travels about 527.8 meters in one minute.
Answer:
So the coordinates are
Step-by-step explanation:
For this case we assume that the line is given by this formula
We know that the general equation for a circle is given by:
Since the circle for this case is centered at the origin then h,k =0 and we have this:
(1)
For this case we can replace the formula for y from the line into equation (1) and we got:
We know from algebra that if we use this concept we got:
We can subtract 64 on both sides and we got:
Now we can divide both sides by 2 and we got:
And we can use the quadratic formula to solve this:
For this case and if we replace we got:
And we got
Now we just need to replace into the original equation for the line and we get the y coordinates like this:
So the coordinates are