Answer:
It takes 2.8 seconds for the ball to fall 215 ft.
Step-by-step explanation:
We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.
Setting up the equation.
The motion equation is given by

We can replace there s = 215 ft to get

Solving for the time t.
From the previous equation we can move all terms in one side to get

At this point we can solve for t using quadratic formula.

where a, b and c are the coefficients of the quadratic equation

So we get

Replacing on the quadratic formula we get

Using a calculator we get

Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.
We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.
Answer:
3,000 kg (3.14)+1.5m^3 and that is math!
Step-by-step explanation:
Answer:
B and E
Step-by-step explanation:
A polynomial cant have a variable as a denominator nor a negative/fractional exponent
Answer:
"Dominic lived in Spain for 13 months and Columbia for 7 months."
Step-by-step explanation:
let months stayed in spain be "s" and months stayed in columbia be "c"
We can write 2 equations.
Since, lived in Spain and Columbia for a total of 20 months, we can write:
s + c = 20
Also, since 120 words per month in Spain and 150 words per month in Columbia for a total of 2610 new words, we can write:
120s + 150c=2610
Solving first for s:
s = 20 - c
Putting in 2nd and solving:
120(20 - c) + 150c = 2610
2400 - 120c + 150c = 2610
30c = 210
c = 7
Now,
s = 20 - c = 20 - 7 = 13
So
"Dominic lived in Spain for 13 months and Columbia for 7 months."
Answer:
The probability that a person with the marker develops cancer is 0.0725.
Step-by-step explanation:
Let's denote the events as follows:
<em>A</em> = a person has cancer
<em>B</em> = a person carries the marker.
<u>Given:</u>
P (A) = 0.03
P (B) = 0.12
P (B|A) = 0.29
The conditional probability of an event <em>X</em> provided that another event <em>Y</em> has already occurred is:

Use the conditional probability formula to compute the probability that a person with the marker develops cancer.

Thus, the probability that a person with the marker develops cancer is 0.0725.