Mens 100m Breaststroke (swimming) was broken by 0.4 seconds by Adam Peaty
Answer:
the "acceleration" is -15m/s (it's negative because it is slowing down, not speeding up[it might just be a positive 15m/s if it is called deceleration and not acceleration])
Step-by-step explanation:
30m/s (starting speed)/2 (the number of seconds it took to stop from 30m/s
Answer:
Proved
Step-by-step explanation:
To prove that every point in the open interval (0,1) is an interior point of S
This we can prove by contradiction method.
Let, if possible c be a point in the interval which is not an interior point.
Then c has a neighbourhood which contains atleast one point not in (0,1)
Let d be the point which is in neighbourhood of c but not in S(0,1)
Then the points between c and d would be either in (0,1) or not in (0,1)
If out of all points say d1,d2..... we find that dn is a point which is in (0,1) and dn+1 is not in (0,1) however large n is.
Then we find that dn is a boundary point of S
But since S is an open interval there is no boundary point hence we get a contradiction. Our assumption was wrong.
Every point of S=(0, 1) is an interior point of S.
The general equation for exponential growth can be written as:

where r is the growth rate.
Plugging in the given values, we get:

Therefore

giving
![1+r= \sqrt[3]{1.1} =1.0323](https://tex.z-dn.net/?f=1%2Br%3D%20%5Csqrt%5B3%5D%7B1.1%7D%20%3D1.0323)
The predicted number of bacteria after 17 hours is given by:
Answer:
y = -
(x - 5)² + 7
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (5, 7 ) , then
y = a(x - 5)² + 7
To find a substitute (10, - 3 ) into the equation
- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )
- 10 = 5²a = 25a ( divide both sides by 25 )
= a , that is
a = - 
y = -
(x - 5)² + 7 ← in vertex form