Answer:
As the sample size is appropriately large, the margin of error is 0.026
Step-by-step explanation:
Which of these equations shows rust, Fe2O3, forming when oxygen, O2, reacts with iron, Fe? Question 10 options: 2Fe2O3 → 3O2 + 4
1 answer:
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1) 155.91 grams would be left after 10 years
2) The population would be 376,478 in 2040
Step-by-step explanation:
The form of the exponential function is , where
- a is the initial amount (y at x = 0)
- b is the growth/decay factor
- b = 1 + r, where r is the rate of growth
- b = 1 - r, where r is the rate of decay
1)
Scientists are studying a 500 grams sample of a radioactive element, which has an annual decay rate of 11%
∵ The initial amount is 500 grams
∴ a = 500
∵ The annual decay rate is 11%
∴ r = 11% = 11 ÷ 100 = 0.11
∵ b = 1 - r ⇒ decay
∴ b = 1 - 0.11 = 0.89
- We need to find how many grams of the sample would be left
after 10 years
∴ x = 10
- Substitute all of these values in the form of the exponential function
∵
∴ y = 155.9085996
- Round it to 2 decimal places
∴ y = 155.91
155.91 grams would be left after 10 years
2)
In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year
∵ The population of an Ohio town was 140,212
∴ a = 140.212
∵ The population is expected to grow at a rate of 2.5% each year
∴ r = 2.5% = 2.5 ÷ 100 = 0.025
∵ b = 1 + r ⇒ growth
∴ b = 1 + 0.025 = 1.025
- We need to find the population in 2040
∵ The number of years is 2040 - 2000 = 40 years
∴ x = 40
- Substitute all of these values in the form of the exponential function
∵
∴ y = 376478.1709
- Round it to the nearest whole number
∴ y = 376,478
The population would be 376,478 in 2040
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ANSWER
The simplest form of the ratio
is
EXPLANATION
The ratio given to us is
We can divide each term in ratio by the same number.
To find the ratio in the simplest form we divide the terms in the ratio by their highest common factor, which is
This implies that,
We simplify this to obtain,
The correct answer is C.
Alternatively,
This implies that,
The simplest form of the ratio
is
EXPLANATION
The ratio given to us is
We can divide each term in ratio by the same number.
To find the ratio in the simplest form we divide the terms in the ratio by their highest common factor, which is
This implies that,
We simplify this to obtain,
The correct answer is C.
Alternatively,
This implies that,