Answer:
Step-by-step explanation:
<u>Area of the larger circle:</u>
<u>The shaded area:</u>
- π(2r)² - πr² = 75
- 3πr² = 75
- πr² = 25
<u>Area of the larger circle:</u>
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
Answer:
0
Step-by-step explanation:
(y-y)/(x-x) -2-18=-20/(-5-(-5)=20/0 which means the slope goes straight up.
Answer:
-54
Step-by-step explanation:
a positive times a negative is a negative always
Answer:
Hi there!
The correct answer is: 220.5 cm²
Step-by-step explanation:
This is an example of a composite figure where you have to break up the figure into different shapes. In this case this figure, can break up into a semicircle and a triangle.
<u>Triangle:</u> A= 1/2bh A=1/2(16)(15) = 120 cm²
<u>Semicircle: </u>another way of saying half a circle so A= 1/2 πr²
A=(1/2)(π)(8)² = 100.5 cm²
And then you just add the two areas together and you get 220.53 cm²
