Answer:
<h3>444m</h3>
Step-by-step explanation:
Given the height of the rocket modelled by the equation;
y=-16x^2+152x+83
The rocket reaches its maximum height when the velocity of the rocket is zero.
Since velocity is the change in displacement with respect to time;
velocity v = dy/dx
dy/dx = -32x + 152
at dy/dx = 0
-32x + 152 = 0
-32x = -152
x = -152/-32
x = 4.75s
To get maximum height reached by the ball, we will substitute x = 4.75 into the modeled function as shown;
y(4.75) = -16(4.75)^2+152(4.75)+83
y(4.75) = -361+722+83
y(4.75) = 444m
Hence the maximum height reached by the ball is 444m
Answer:
240 feet per hour
Step-by-step explanation:
Given that:
Submarine is descending for examining the sea floor.
Distance of sea floor from the surface = 2100 feet
Time taken for the descend = 8.75 hours
To find:
The rate of descent in feet per hour = ?
Solution:
Here, we are given the distance traveled in feet and the time taken to travel that distance in hours.
And we have to find nothing but the speed of the submarine.
First of all, let us have a look at the relationship among speed, distance and time.
Putting the values of distance and time.
N=(1/6)rm
Solve for r
To remove the fraction 1/6, we multiply both side by reciprocal 6/1
6N = rm
Now divide by m on both sides
We solved for r
Answer:
I don;t know what the question is but I know that z is an imaginary number.
Step-by-step explanation:
z=-302+19.3i
that means that it doesn't represent an actual number but is imaginary.
An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25.
Answer:
v = 729 in³
Step-by-step explanation:
v = 9 * 9 * 9
v = 729 in³
