Answer: a) 
b) 25165824000
Step-by-step explanation:
The exponential equation for growth is given by :-
, where a= initial value , b =multiplicative growth factor and t = time.
Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.
i.e. a = 1500 and b= 2
Then, the function N that models the number of bacteria after t hours will be :
To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get
Hence, the number of bacteria after 24 hours is 25165824000.
1 mile = 1760 yards
20 * 1.151 = 23.02
23.02 * 1760 = 40,515.2
40,515.2 / 60 = 675.243~
675.243~ / 60 = 11.2542~
They are traveling 11.25 yards per second
I took the number of knots multiplied by the approximate miles per hour equal
Then multiplied that by the number of yards in a mile, and then divided that by the number of minutes in an hour, and divided that by the number of seconds in a minute. That is how I got the answer, I hope it helps!
Answer:
5.13 % to the nearest hundredth.
Step-by-step explanation:
This is a Binomial Distribution .
The required probability
= 30C6 (0.33)^6 (0.67)^(30-6)
= 0.051345
Answer:
C. 17, 12, 7
Step-by-step explanation:
In a triangle, the sum of the lengths of any two sides must be greater then the length of the third side. If you can show any two segments, the sum of whose lengths is less than the length of the third segment, that cannot form a triangle.
In choices A, B, and D, there is at least one sum of the lengths of two segments that is less then the length of the third segment. That shows that choices A, B, and D cannot form triangles.
A. 8 + 7 = 15 < 16 No
B. 9 + 7 = 16 = 16 No
D. 11 + 5 = 16 < 17 No
C.
17 + 12 = 29 > 7
12 + 7 = 19 > 17
17 + 7 = 24 > 12
Yes
The answer for this equation full simplify is (D.)
