The values are 5i, -4, 2√2i, -16, -50i and i.
<h3>What is an imaginary number?</h3>
An imaginary number is a number that, when squared, has a negative result, and is defined by its property i² = −1 or i = √-1.
Given are numbers,
1) √-25 = √25*√-1 = 5i
2) √-2√-2 = 2i*2i = 4i² = -4
3) √-8 = √8*√-1 = 2√2i
4) (4i)² = 16*i² = -16
5) (2i)(5i)² = 2i*25i² = 50i³ = -50i
6) i²*i³*
= -1*(-i)*1 = i
Hence, The values are 5i, -4, 2√2i, -16, -50i and i.
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Answer: 612
Step-by-step explanation:
Substitute the value 6 (hours) in the equation and solve.
Y = 92x+60
Y = (92*6)+60
Y=552+60 = 612
Answer:
28, 35, 43
Step-by-step explanation:
8-7 = 1
10-8 = 2
13-10 = 3
As you can see you need to add one extra numbers and the sequence goes on
Answer:
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Step-by-step explanation:
<em>General form of a sinusoidal function: y = A cos(Bt - C) + D
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<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
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<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
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2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
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C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
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D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
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Your final function will be:</em>
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Answer:
C
Step-by-step explanation:
time is directly proportional to the number of problems in the set
=> x = ky
k = constant of proportionality
when k = 12
x = 12y
by making y the subject, we divide both sides by 12
=> y = x/12
