Please see the <em>blue</em> curve of the image attached below to know the graph of the function g(x) = (1/3) · 2ˣ.
<h3>How to graph a transformed function</h3>
Herein we have an <em>original</em> function f(x). The <em>transformed</em> function g(x) is the result of <em>compressing</em> f(x) by 1/3. Then, we find that g(x) = (1/3) · 2ˣ. Lastly, we graph both function on a <em>Cartesian</em> plane with the help of a <em>graphing</em> tool.
The result is attached below. Please notice that the <em>original</em> function f(x) is represented by the red curve, while the <em>transformed</em> function g(x) is represented by the blue curve.
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Answer:
0.0105
Step-by-step explanation:
given that 30% of all houses need a paint job. Also, 15% of all houses need both a paint job and a new roof. Further, 7% of all houses that need a new roof also need new windows.
If total houses are 100, then 30 require a paint along. 15 require both paint and new roof.
Out of 15 houses which require new roof 7% need new windows
i.e. no of houses which need new windows = 
If there are total 100 houses, 1.05 houses require a new window
So probability that a randomly selectede house needs a new window
= 0.0105
Answer:
3/10 of the aquarium are yellow tangs.
Step-by-step explanation:
Given that in an aquarium 2/5 of the fish or surgeonfish and of these, 3/4 are yellow tangs, to determine what fraction of all fish in the aquarium are yellow tangs the following calculation must be performed:
2/5 = 0.40
0.40 x 3/4 = X
1.20 / 4 = X
0.30 = X
0.30 = 3/10
Therefore 3/10 of the aquarium are yellow tangs.
Answer:
8+2
Step-by-step explanation:
2+2+2+2++=8+2
4^2+2^2=h^2
20=h^2
h=
