Answer:
r=1/π
Step-by-step explanation:
Area of the circle is defined as:
Area = πr²
Derivating both sides
=2πr
= x 
= 2πr
If area of an expanding circle is increasing twice as fast as its radius in linear units. then we have : =2
Therefore,
2πr = 2
r=1/π
Answer: 25 percent
Step-by-step explanation:
Answer:
39.0625 ft
Step-by-step explanation:
Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.
The general form for a quadratic equation is ax² + bx + c, here a is -16, and b is 50
To find the x coordinate of the vertex, use x = -b/(2a)
We have x = -50/[2(-16)]
x = -50/-32
x= 25/16
Now plug that into the equation to find the y value, which will be the height...
y = 50(25/16) - 16(25/16)²
y = 1250/16 - 16(625/256)
y = 1250/16 - 625/16
y = 625/16
y = 39.0625
Answer: 104.5 seconds
Step-by-step explanation:
Hi, to answer this question we have to apply proportions:
Six students eat 6 apples in 33 seconds.
The proportion is: number of apples eaten /time
6 apples /33 seconds = 6/33
For 19 apples:
19 apples / x seconds =19/x
6/33 = 19/x
Solving for x:
x = 19 / ( 6/33)
x = 104.5 seconds
Feel free to ask for more if needed or if you did not understand something.
The sum of all the even numbers between 1 and 1000 is 2550
