Answer:
4/48 simplified by 4 = 1/12
The probability is 1/12
.............
Answer:
The perimeter of the figure as a function of the number of triangles is
.
Step-by-step explanation:
According to the diagram, we get the following facts:
i) For one triangle (
), the total perimeter is (
).
ii) For two triangles (
), the total perimeter is (
)
iii) For three triangles (
), the total perimeter is (
)
iv) For four triangles (
), the total perimeter is (
)
From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is
.
Answer:
- The function f(x) = 9,000(0.95)^x represents the situation.
- After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
- The range values, in the context of the situation, are limited to whole number
Step-by-step explanation:
The "growth" rate is -5%, so the growth factor, the base in the exponential equation, is 1.00-5% =0.95.
Using x=2, we find the population in 2 years is expected to be about ...
f(2) = 9000·0.95^2 ≈ 8123 . . . . about 8120
Using x=4, we find the population in 4 years is expected to be about ...
f(4) = 9000·0.95^4 ≈ 7331 . . . . about 7330
Since population is whole numbers of bees, the range of the function is limited to whole numbers.
The domain of the function is numbers of years. Years can be divided into fractions as small as you want, so the domain is not limited to whole numbers.
The choices listed above are applicable to the situation described.
The answer to that is 855
You just type 11970 divided 14 into a maths calculator.