Answer:
t = 6 s
Step-by-step explanation:
Given that,
Sherry is driving 390 miles to visit The gateway arch in St. Louis.
She drives at an average rate of 65 miles per hour.
We need to find the amount of time it will take Sherry to get to the arch. Let the time is t.
Speed = distance/time

Hence, it will take 6 hours to get to the arch.
Complete Question
The diagram for the question is shown on the first uploaded image
Answer:
The final position of Karel is shown on the second uploaded image
Step-by-step explanation:
On the diagram the dot represents steps to be taken by Karel
Now after Karel the Dog has moved forward three spaces, Karel will be standing on a ball, so Karel will turn right move forward two spaces
So the final position of Karel is shown on the second uploaded image
Answer:
The position P is:
ft <u><em> Remember that the position is a vector. Observe the attached image</em></u>
Step-by-step explanation:
The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity
is:

Where
is the initial height = 0 for this case
We know that the initial velocity is:
82 ft/sec at an angle of 58 ° with respect to the ground.
So:
ft/sec
ft/sec
Thus

The height after 2 sec is:


Then the equation that describes the horizontal position of the ball is

Where
for this case
ft / sec
ft/sec
So

After 2 seconds the horizontal distance reached by the ball is:

Finally the vector position P is:
ft
Here's the way I see it: 5 cards are drawn, one by one, without replacement. Half (or 26) of the original deck are black and half (26) are white.
P(5 are not black) = P(5 are red)
P(5 are not black) = P(first card is red) * P(second card is red) * P(third card is red)*P(fourth card is red)*P(fifth card is red) =
(26/52) * (25/51) * (24/50) * (23/49) * (22/48) = 0.025 (answer)
We start with 52 cards. We draw one, leaving 51 cards, 25 of which are red. And so on.
The slope of the line is -2/2