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3 years ago

What is the value of i^3

Mathematics

2 answers:

PIT_PIT [208]3 years ago

8 0

Answer:

The answer is the last one, -i.

Hope this helped!

vodomira [7]3 years ago

7 0

Answer:

- i

Step-by-step explanation:

i = $\sqrt{-1}$ ⇒ i² = ( $\sqrt{-1}$ )² = - 1, thus

i³ = i² × i = - 1 × i = - i

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Solve the inequality.<br><br> 5/6t - 3≥3t + 6

Papessa [141]

Answer:

t ≤ $-\frac{54}{13}$

Step-by-step explanation:

$\frac{5}{6}$ t−3−3t≥3t+6−3t

$-\frac{13}{6}$ t−3≥6

- $\frac{13}{6}t$ −3+3≥6+3

$\frac{13}{6}$ t≥9

$-\frac{6}{13}$ ( $-\frac{13}{6}$ t) ≥ $-\frac{6}{13}$ (9)

t ≤ $-\frac{54}{13}$

6 0

2 years ago

What is the effect on the graph of f(x) if it is changed to f(x) + 2 and f(x + 2)?

liraira [26]

Answer:

For f(x)+2, it goes along the y axis, 2 units.

For f(x+2), it goes along the x axis, -2 untis.

Step-by-step explanation:

6 0

3 years ago

Compare 9.36 and 9.359

Sati [7]

Try this option (this is not the only way!):

1. the rule: if 'number_1' - 'number_2' > 0, then number_1>number_2. If 'number_1'-'number_2'<0, then number_2>number_1.

2. according to the rule above: 9.36-9.359=0.001. 0.001>0, it means, 9.36>9.359.

6 0

3 years ago

P(Girl Sophomore) :<br> =[?]

marusya05 [52]

Probability helps us to know the chances of an event occurring. The probability being a Sophomore given she is a girl is 1/3.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring.

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

The probability of being a girl and Sophomore is 9/37. While the probability of being a girl is 27/37. Therefore, the probability being a Sophomore given she is a girl is,

P(Girl l Sophomores) = P(Girl and Sophomore)/ P(Girl)

= (9/37) / (27/37)

= 9 / 27

= 1/3

Hence, the probability being a Sophomore given she is a girl is 1/3.

Learn more about Probability:

brainly.com/question/795909

#SPJ1

3 0

2 years ago

Read 2 more answers

PLEASE HELP IMMEDIATELY

grandymaker [24]

Answer:

a) C(d) = 37.95 + 0.62d

b) C(74) = 37.95 + 0.62(74)

83.8 dollars

c) 8181 miles

Step-by-step explanation:

The company charges a fee of 37.95 just for the rent and then 0.62 dollars per mile.

So if one person travels one mile they will pay:

37.95 + 0.62

Two miles: 37.95 + 0.62 (2)

Three miles: 37.95 + 0.62 (3)

d miles: 37.95 + 0.62(d)

Thus, the function C(d) that gives the total cost of renting the truck for one day if you drive d miles would be C(d) = 37.95 + 0.62d

Now, if we drive 74 miles, the function that gives us the cost would be:

C(74) = 37.95 + 0.62(74) = 37.95 + 45.88 = 83.83 = 83.8 dollars

Now, if we have 5110 dollars on our budget, we would have to substitute this in our function to know how many miles we can drive with that amount:

$C(d)= 37.95+0.62d=5110\\37.95+0.62d=5110\\0.62d=5110-37.95\\0.62d=5072.05\\d=5072.05/ 0.62 \\d=8180.7$

Thus, we could drive 8181 miles

3 0

3 years ago