Answer: Hello!
first let's note the things we already know:
there is a 16- lap race and the oval has one mile of length, then each of the laps has a length of one mile, and the whole race has 16 miles in total
Bobby averages 94 mph and already did 6 laps ( or 6 miles)
then we could write the Bobby equation as B(t) = 6 miles + 94mph*t
where t represents the time in hours.
now we could see how much time Bobby needs to end the race:
B(x) = 6mi + 94mph*x = 16mi
94mph*x = 16mi - 6mi = 10mi
x = (10/94)h = 0.106h
so Bobby needs 0.106 hours to finish the race, and we want to know which velocity Rick should have in order to reach the end of the race at the same time as Bobby.
Rick is starting the race, so he needs to do 16 miles in 0.106 hours, and as we know velocity is distance over time; so the average velocity of Rick is:
V = 16mi/0.106h = 150.9mph
Now let's see the hint:
Bobby does 8 miles in:
94*t = 8
t = 8/94 = 0.085 hours
and Rick does 10 miles in:
150.9*t = 10
t = 10/150.9 = 0.066 hours
wich is clearly different times, so maybe the hint is wrong.
Answer:
The correct answer is A) 4/663.
Step-by-step explanation:
First you find the probability of drawing a queen when drawing a single card from a deck of 52 cards. Since there are 4 queens(the queen of diamond, the queen of hearts, the queen of spades, and the queen of clubs) in a deck of 52 cards, the probability of drawing a queen when drawing a single card from a deck of 52 cards is 4/52.
Next you find the probability of drawing a king when drawing a single card from a deck of 51 cards(since you did not replace the first card you drew). Since there are 4 kings(the king of diamond, the king of hearts, the king of spades, and the king of clubs) in a deck of cards, the probability of drawing a king when drawing a single card from a deck of 51 cards is 4/51.
Then you multiply the two probabilities to determine the probability of drawing a queen then a king. So,
4/52 x 4/51 =
4 x 4/52 x 51 =
16/2652
Finally, simplify the fraction. The greatest number that can go into both the numerator and denominator is 4. So divide both the numerator and denominator by 4. When you do this, you get the following:
16 divided by 4 = 4 as the numerator and
2652 divided by 4 = 663 as denominator.
So, the final answer is 4/663.
Answer:
v is negative for every x, meaning the domain is all values in R, whatever goes under the squared sign will come out as positive and the left out -ve sign will make V negative for all x in R
range of f(x) is -inf to +inf
Step-by-step explanation:
the cubic power doesnt affect the sign
Divide each side of the equation by 0.3 .
