Right now that equation is a function of time, h(t), height with respect to time. If the baseball is on the ground, it has no height. In other words, its height = 0. So if we set the equation equal to 0 and solve for t, time, that will tell us the time that the ball had a height of 0. If you plug those numbers into the quadratic formula, which is the best and most efficient way to factor a quadratic, you will get that the times are -.0615528128 and 4.061552813 seconds. The 2 things in math that will never EVER be negative are time and distance/length. So we know that the ball will not hit the ground at -.062 seconds. Therefore, it hits the ground 4.06 seconds after it was hit.
Answer:
Distance between the points A and B is 15.52 units.
Step-by-step explanation:
It has been given in the question that an airplane flies along a straight line from City A to City B.
Map has been laid out in the (x, y) coordinate plane and the coordinates of these cities are A(20, 14) and B(5, 10).
Distance between two points A'(x, y) and B'(x', y') is represented by the formula,
d = 
So we plug in the values of (x, y) and (x', y') in the formula,
d = 
d = 
d = 
d = 15.52
Therefore, distance between the points A and B is 15.52 units.
Answer:
Because triangle has three sides
Answer: the real answer is 22 but a way for you to get a good estimate would be too look at the equation as 2730/120 and then you would get 22.75.
Step-by-step explanation:
Answer:
48.48%
Step-by-step explanation:
Let's assume that there is a number N of women.
32% of these are smokers, then there are 0.32*N smokers
then 68% of these are non-smokers, then there are 0.68*N non-smokers.
Let's assume that the probability of having a ectopic pregnancy for a non-smoker is p (and the probability for a smoker will be 2*p)
Then the number of women with an ectopic pregnancy that are non-smokers is:
p*0.68*N
The number of women with an ectopic pregnancy that are smokers is:
2*p*0.32*N
Then the total number of women with an ectopic pregnancy will be:
p*0.68*N + 2*p*0.32*N
The percentage of women having an ectopic pregnancy that are smokers is equal to the quotient between the number of women with an ectopic pregnancy that are smokers and the total number of women with an ectopic pregnancy, all that times 100%.
The percentage is:

Taking p and N as common factors, we get:

Then we get:
