Answer:
answer
Step answer by answer step explanation step answer answer by by expla
Answer:
x= 15/7
Step-by-step explanation:
Answer:
The rate at which the distance from the plane to the station is increasing is 331 miles per hour.
Step-by-step explanation:
We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:
a: is one side of the triangle = altitude of the plane = 3 miles
b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles
h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles
First, we need to find b:
(1)

Now, to find the rate we need to find the derivative of equation (1) with respect to time:
Since "da/dt" is constant (the altitude of the plane does not change with time), we have:
And knowing that the plane is moving at a speed of 500 mi/h (db/dt):
Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.
I hope it helps you!
Answer:
52 cards/hour
Step-by-step explanation:
416 cards
Rodney's card production rate is --------------- = 52 cards/hour
8 hours
Answer:

Step-by-step explanation:
First off, <em>B</em> is zero, so there is no <em>phase shift</em>, meaning that the vertex stays on the y-axis. Next, <em>A</em> is negative, so the parabola opens down, and whenever you have a parabola opening down, it does so at maximum. Finally, <em>C</em> represents our y-intercept, or in this case, our <em>vertical shift</em>. Our y-intercept is (0, −1), and so as our vertex, hence our answer.
I am joyous to assist you anytime.