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AleksandrR [38]
3 years ago
5

Lucy si thinking of a Numbers. The number is greater than two hundred twenty-five. Her number is less than 2 hundreds,2 tens, an

d 7 ones. What is Lucy's number?
Mathematics
1 answer:
VikaD [51]3 years ago
8 0
226 i believe, if not then idk
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Please explain I really need help
velikii [3]

Answer:

1. 1343 years

2. 9 hours

3. 39 years

Step-by-step explanation:

1. Given, half-life of carbon = 5730 years.

∴ λ = 0.693/half-life of carbon = 0.693/5730 = 0.000121

If N₀ = 100 then N = 85

Formula:- N = N₀*e^(-λt)

∴ 85 = 100 * e^(-0.000121t)

∴㏑(-0.85)=-0.000121t

∴ t = 1343 years

2. Given half-life of aspirin = 12 hours

λ = 0.693/12 = 0.5775

Also N₀ = 100 then 70 will disintegrate and N = 30 will remain disintegrated.

∴ 70 = 100 *e^(-0.05775t)

0.70 = e^(-0.05775t)

㏑(0.70) = -0.05775t

∴ t = 9 hours

3.  The population of the birds as as A=A₀*e^(kt)

Given that the population of birds fell from 1400 from 1000, We are asked how much time it will take for the population to drop below 100, let that be x years.

The population is 1400 when f = 0, And it is 1000 when f = 5

We can write the following equation :

1400 = 1000e^(5t).

∴1400/1000 = e^(5k)

∴ k = ㏑(1.4)/5

We need to find x such that 1400/100 = e^(xk)

14 = e^(xk)

∴ x = 39 years

5 0
3 years ago
what are the coordinates of the orthocenter of △ABC with vertices at A(1, 2), B(1, 6), and C(5, 6)?
iren2701 [21]
(1,6)
This should help for future problems
<span>https://www.mathportal.org/calculators/analytic-geometry/triangle-calculator.php</span>
6 0
3 years ago
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Is 0/12 a rational or irrational number
kondor19780726 [428]
I feel like it would be rational because 0/12 = 0, and 0 is a rational number.
6 0
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What is the slope of the line that passes through the points (10, 3)(10,3) and (2, 3) ?(2,3)? Write your answer in simplest form
Lady_Fox [76]

Answer:

0

Step-by-step explanation:

The y's are the same so they do not go up or down so the slope is 0.

6 0
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How can you compare -1 and 0?​
Solnce55 [7]

Answer:

-1 < 0

Step-by-step explanation:

0 is nothing and -1 is less than nothing

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3 years ago
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