Hello! To find any number in the arithmetic sequence we can use a formula!
It is given by
The geometric sequence formula goes by
So for this we notice that there's a start of 5 and is being added 3 to get 8.
and then each time it is added by 2 more to get the next time
5
5+ 3 = 8
8 + 5 = 13
13 + 7 = 20
20 + 9 = 29
29 + 11 = 41
41 + 13 = 54
54 + 15 = 69
69 + 17 = 83
Your formula is
Where n starts at 2 not 1
Answer:
119.05°
Step-by-step explanation:
In general, the angle is given by ...
θ = arctan(y/x)
Here, that becomes ...
θ = arctan(9/-5) ≈ 119.05°
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<em>Comment on using a calculator</em>
If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.
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It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...
Tan = Opposite/Adjacent = |y|/|x|
This is the tangent of the reference angle, which will be ...
θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°
You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.
Answer:
Expected value would be $ 0.896
Step-by-step explanation:
Given,
The price of the lottery ticket = $44800000,
Also, the probability of winning the grand prize = .000000020,
Thus, the expected value of the lottery ticket = value of the lottery ticket × probability of getting the lottery ticket
= 44800000 × .000000020
= $0.896
Note : value of lottery ticket = prize amount - cost of each ticket,
Here the cost price of a ticket is not given,
That's why we did not consider it.
Answer:
270 words per minute
Step-by-step explanation:
It is given 180 words in 2 minutes, this means Toni can type 180/2 = 90 words per minute (90wpm).
Thus, in the same ratio/rate, Toni would be able to type:
90 * 3 = 270 words per minute.
Correct answer 270 wpm
Respect is definitely more important than money because money is printed everyday there is tons of it. But respect is hard to get nowadays and is even easier to lose. Have you ever stopped and thought about the meanest thing that you have said to your friend? To someone online? Does that sound like respect to you?
