The area of polygon D is given by:
Ad = k ^ 2 * Ac
Where,
k: scale factor
Ac: area of polygon C
Substituting the values we have:
Ad = (1/2) ^ 2 * (40)
Ad = (1/4) * (40)
Ad = 10 square units
Answer:
the area of Polygon D is:
Ad = 10 square units
Answer:
(a) the initial count of bacteria
(b) the growth factor (per hour)
(c) the initial count in the second study
(d) the difference in initial counts between the two studies
Step-by-step explanation:
(a) 1200 is b1(0), the initial count of bacteria.
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(b) 1.8 is the growth factor per hour, the factor that multiplies the previous hour's count to get this hour's count.
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(c) Assuming b2(t) = 1000(1.8)^t, the value 1000 is the initial count of bacteria in the second study, b2(0).
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(d) The difference between 1200 and 1000 means the first study started with 200 more bacteria than the second study did
Answer:
g(n) = 0.05·2^n
Step-by-step explanation:
The paper with no folds is 0.05 mm thick. Each fold multiplies the thickness by 2, so the function is ...
g(n) = 0.05·2^n
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<em>Comment on paper folding</em>
In practice, where the paper must bend around the fold, it is impossible to fold an ordinary piece of paper 9 times. You may be able to fold a very large, very thin piece of paper that many times.
Answer:
Step-by-step explanation:
Given g (x) = 
and 
, we are to find 
First we need to get 
Hence 
Also given f(x) = x and g(x) = 1/x, we are to find 
For the pair of function f(x) = 2/x and g(x) = 2/x
f(g(x)) = f(2/x)
f(2/x) = 2/(2/x)
f(2/x) = 2*x/2
f(2/x) = x
Hence f(g(x)) = x
For the pair of function f(x) = x-2/3 and g(x) = 2-3x
f(g(x)) = f(2-3x)
f(2-3x) = (2-3x-2)/3
f(2-3x) = -3x/3
f(2-3x) = -x
f(g(x)) = -x for the pair of function
For the pair of function f(x) = x/2 - 2 and g(x) = x/2 + 2
f(g(x)) = f(x/2 + 2)
f(x/2 + 2) = f((x+4)/2)
f((x+4)/2) = [(x+4)/2]/2 - 2
f((x+4)/2) = (x+4)/4 - 2
find the LCM
f((x+4)/2) = [(x+4)-8]/4
f((x+4)/2) = (x-4)/4
Hence f(g(x)) for the pair of function is (x-4)/4
Answer:
<u>The percentage loss per gallon is 23.17%</u>
Step-by-step explanation:
Original price per gallon = $ 2.59
Discounted price per gallon = $ 1.99
Now, let's calculate the percentage loss per gallon, using the Direct Rule of Three, as follows:
Price Percentage
2.59 100
1.99 x
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2.59 * x = 1.99 * 100
2.59x = 199
x = 199/2.59
x = 76.83
Percentage loss = 100 - 76.83
<u>Percentage loss = 23.17%</u>
