Answer:
seconds
Step-by-step explanation:
When the ball hits the ground, its height will obviously be 0. Therefore, you can set up the equation the following way:
Plugging this into the quadratic equation, you get:
Since the time must be positive, it takes the ball seconds to hit the ground, or around 3.828. Hope this helps!
Answer:
y= 2x+5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient. Hence m=2.
Subst. m=2 into the equation:
y=2x +c
Now substitute a coordinate.
When x= -2, y=1,
1= 2(-2) +c
1= -4 +c
c= 1 +4
c=5
Thus, the equation of the line is y= 2x +5.
Let's restate the given:
Height of cone = 70 cm
Radius = 15 cm
Now, first, let's find the volume of the cone through the formula V = πr²h/3
Substitute all data and you will get 16493.36 cubic centimeters.
Now, to get how many days the container will be complete empty, you simply divide the volume of the cone by 500 cubic centimeters.
Days = 16493.36 cu cm/ 500 cu cm
Days = 32.99 or 33 days.
Thus, the answer you're looking for is 33 days.
