Answer:
0.1% of tickets to ACME PUBLISHING SWEEPSTAKES win a car
Step-by-step explanation:
Given :The chance of winning a car is 1 in 1,000.
To Find : What percent of tickets to ACME PUBLISHING SWEEPSTAKES win a car?
Solution:
The chance of winning a car is 1 in 1,000.
The percent of tickets to ACME PUBLISHING SWEEPSTAKES win a car:
=
=
=
Hence 0.1% of tickets to ACME PUBLISHING SWEEPSTAKES win a car.
Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P =
.
But,
= -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e. 
So, the ratio is k : 1 i.e
i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also,
= m where 
i.e. m = 
i.e. m = 
i.e. m = 
i.e. m = 5.
Hence, the value of m is 5.
The solution to this equation is in the picture i’ve put below!
The solution to the equation is x < 1.25
The speed of the ball is
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft
50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt