Answer:
The answer could be 0 or 1 out of 4, because choosing a card at first and not putting it back, then picking a second card at random, it would likely be one in zero attempts to pick 3 again but otherwise that it could be 1 out of 4 because it could be possible picking 3 at the first try.
Answer:
The last graph
Step-by-step explanation:
This is because when there is a greater than sign, the line on the graph is dotted and the shaded area is facing upwards. I try to remember that when there is a greater than sign or a greater than or equal to sign, the shaded area faces up towards the sky.
Hope this helps. Please inform me if my answer is wrong.
Answer:

Step-by-step explanation:
product is the result of multiplication which means multiplication is involved with 2 and a number which can be substituted for x
5 is subtracted from all of that
7 is the answer of it all
Answer: Choice A) $0.45
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Explanation:
Plug in d = 0 and you'll have A(d) = 0.45d+180 turn into A(0) = 180. This says that Terry is paid $180 even if he doesnt travel a single mile.
Now plug in d = 1. You should get A(1) = 180.45 as the result.
Subtract the results: 180.45 - 180 = 0.45
He has earned 45 cents or 0.45 dollars for traveling one mile
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A shortcut is to notice that the slope of the line is 0.45
It might help to view A(d) = 0.45d+180 as y = 0.45x+180. We see that the equation is in slope intercept form y = mx+b
m = slope = 0.45 tells us how much additional dollars Terry earns for each additional mile traveled
b = 180 = y intercept = starting amount of money Terry is paid, this amount does not change based on how many miles he travels.
Answer:
The imaginary part is 0
Step-by-step explanation:
The number given is:

First, we can expand this power using the binomial theorem:

After that, we can apply De Moivre's theorem to expand each summand:
The final step is to find the common factor of i in the last expansion. Now:



The last part is to multiply these factors and extract the imaginary part. This computation gives:


(It is not necessary to do a lengthy computation: the summands of the imaginary part are the products sin(a)cos(b) and cos(a)sin(b) as they involve exactly one i factor)
A calculator simplifies the imaginary part Im(x⁶) to 0