Step-by-step explanation:
Part A
A) The denominator is 665, so this is a terminating decimal.
B) 11/99 = 1/9 = 0.1111...
C) 256/999 = 0.256256256...
D) 25/909 = 275/9999 = 0.027502750275...
B has 1 repeating digit, C has 3 repeating digits, and D has 4 repeating digits. So the correct answer is C.
Part B
A decimal that can be written as a ratio of integers is a rational number.
The answer is 24 square yards
24ft=8yd
9ft=3yd
So 8*3=24 square yard
Hope this helps
down 3 unit mean -3 outside root
right 2 unit mean -2 inside root,
so the answer is

Answer:
- P(t) = 100·2.3^t
- 529 after 2 hours
- 441 per hour, rate of growth at 2 hours
- 5.5 hours to reach 10,000
Step-by-step explanation:
It often works well to write an exponential expression as ...
value = (initial value)×(growth factor)^(t/(growth period))
(a) Here, the growth factor for the bacteria is given as 230/100 = 2.3 in a period of 1 hour. The initial number is 100, so we can write the pupulation function as ...
P(t) = 100·2.3^t
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(b) P(2) = 100·2.3^2 = 529 . . . number after 2 hours
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(c) P'(t) = ln(2.3)P(t) ≈ 83.2909·2.3^t
P'(2) = 83.2909·2.3^2 ≈ 441 . . . bacteria per hour
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(d) We want to find t such that ...
P(t) = 10000
100·2.3^t = 10000 . . . substitute for P(t)
2.3^t = 100 . . . . . . . . divide by 100
t·log(2.3) = log(100)
t = 2/log(2.3) ≈ 5.5 . . . hours until the population reaches 10,000
If you do the elimination process, here it is.
- A : Too small
+ B : I think so
- C : I little too big
- D : Way too big