Consecutive numbers differ by one, which means that if you start with a certain integer 
, you obtain the next integer by adding one.
So, if you start with 
, the three consecutive numbers are
The sum of these three numbers is
This number is divisible by 3 because you can write it as
Note that this is true in general: the sum of three consecutive numbers is always divisible by three, because it is three times the middle number.
5 × 9 = 45
Hope this helps!
Answer: 3 seconds
We are given the following function:
(1)
Where:
is the time the ball is in the air
the initial upward velocity
the initial height of the ball
is the final height of the ball. If no one catches it, this will be <u>zero</u>
So, equation (1) changes to:
(2)
Substituting the known values:
(3)
This is a quadratic equation in the form 
. In order to find we can use the quadratic formula for the roots:
(4)
Where 
, 
and 
Substituting this values in (4):
(5)
(6)
(7)
For 
:
(8)>>>> This result does not work for us because is negative
For 
:
(9)>>>This is the result
Therefore:
<h2> If no one catches the ball, it will be 3 s in the air</h2>
Answer:
Step-by-step explanation:
A) Divide both sides of equation by t to isolate r. Then, r = d/t
B) Plugging in the given numbers, solve:
d = distance which is 760,320 yards
r = rate which is unknown
t = time which is 2 hours.
- r = d/t
- r = 760,320 yards / 2 hours
- r = 380,160 yards per hour
C) The conversion from yards to miles, 1 yard = 1760 miles. So, multiply by the previous answer in (B) by the two ratios or just divide:
- 380,160 yards / 1760 miles = 216 miles per hour
D) Use miles in this scenario because of the number of significant digits (yards would require a number in the hundred-thousands).
Answer:
Two hundred million five hundred and twenty five
Step-by-step explanation:
