There are 23 pastries. They need to be shared equally between 7 people. How many pastries does each person get? Write your answe
1 answer:
Answer:
3 pastries
Step-by-step explanation:
Amount to be shared / number of people sharing
23 / 7
To simplify easily in our heads, we can take 23 and subtract 7. That then becomes a 1. Subtract 7 again, it becomes a 2. We can do this until we have taken all of the wholes (equivalent to 1) out of 23/7. The math for this is shown below.
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- Heather
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<h3>Answer:</h3>
- using y = x, the error is about 0.1812
- using y = (x -π/4 +1)/√2, the error is about 0.02620
The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.
If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...
... x -sin(x) @ x=π/3
... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812
You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.
___
If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...
... (x+1-π/4)/√2 -sin(x) @ x=π/3
... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620
Answer:
It'll take approximately 34 years from today.
Step-by-step explanation:
in order to solve this problem we first need to find the rate of change, "k", to do that we will use the given information where the population was 1400 five years ago and its now 1000. Applying this data to the equation gives us:
We now know the value for "k", we can estimate how many years it will take for the bird population to dip below 100. We have:
It'll take approximately 34 years from today.