Answer:
The angle is 90 degrees
Step-by-step explanation:
Required
Angle subtended by the diameter
The theorem to solve this is:
The angle subtended by an arc is twice the angle it subtends.
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<em>The diameter forms </em><em> on the circle, so we have:</em>
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Where is the angle subtended
Solve for
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The average rate of change of the function from n = 1 to n = 5 is 3.36 plants per day
<h3>The reasonable domain</h3>
The function is given as:
f(n) = 10(1.02)^n
The maximum height is 11.04
So, we have:
10(1.02)^n = 11.04
Divide by 10
1.02^n = 1.104
Take the log of both sides
n * log(1.02) = log(1.104)
Divide by log(1.02)
n = 5
Hence, the reasonable domain is 0 ≤ n < 5
<h3>The y-intercept</h3>
We have:
f(n) = 10(1.02)^n
Set n to 0
f(0) = 10(1.02)^0
Evaluate
f(0) = 10
Hence, the y-intercept is 10
<h3>The average rate of change</h3>
We have:
f(n) = 10(1.02)^n
Calculate f(1) and f(5)
f(1) = 10(1.02)^1 = 10.2
f(5) = 10(1.02)^5 = 10.2
The average rate is then calculated as:
m = (f(5) - f(1))/(5 - 1)
This gives
m =(11.04 - 10.2)(5 - 1)
Evaluate
m = 3.36
Hence, the average rate of change of the function f(n) from n = 1 to n = 5 is 3.36
Read more about exponential functions at:
brainly.com/question/2456547
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I'm pretty sure you can't delete a question... only a moderator can. :\
flooring a value, simply means, dropping it to the closest integer, so for the floor function or ⌊x⌋, that means
⌊ 2.5 ⌋ = 2
⌊ 2.00000001 ⌋ = 2
⌊ 2.999999999999⌋ = 2
⌊ -2.0000000001⌋ = -3
⌊ -2.999999999999⌋ = -3
let's recall that on the negative side of the number line, the farther from 0, the smaller, so -1,000,000 is a tiny number compared to the much larger -1.
⌊ -5.2 ⌋ = -6.
8/10 are equal to 4/5 because 4×2=8 and 5×2=10 so 8/10