The formula to solve for the volume (V) of a rectangular prism is,
V = L x W x H
where L is the length, W is width, and H the height or depth.
Substituting the known dimensions on the equation above,
V = (4 in) x (9 in) x (2.2 in) = 79.2 in^3
Thus, the volume of the cake pan is 79.2 in^3.
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
Easy, all you have to do is add the eggs which she got the grams for (178.7)
Then, subtract 178.7g. from 225.0g. (46.3)
Then just put the eggs according from least to greatest:
1st egg:43.98
2nd egg:45.02
3rd egg:45.07
4th egg:45.72
5th egg:46.3
Hope this helps!