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3 years ago

If i= the square root of -1, what is the value of i to the 3rd power

Mathematics

1 answer:

serious [3.7K]3 years ago

3 0

I^3 = i^(2+1) = i^2 x i -1 x i = -i

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2 years ago

Find the missing lengths of the sides.

Irina18 [472]

Answer:

The choice third ; a=9 , c= 18

Step-by-step explanation:

$\sin(60) = \frac{9 \sqrt{3} }{c} \\ \\ c = 18$

$\tan(30) = \frac{a}{9 \sqrt{3} } \\ \\ a = 9$

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2 years ago

At Greenwood Landscaping, rock costs $47.50 per ton. How much would 2.5 tons cost?

Grace [21]

Answer:

Hey!

Your answer is $118.75!

Step-by-step explanation: How did I get this?

STEP 1: So we know that for a ton of rock costs us $47.50...

To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...

(47.50 x 2 = 95)

STEP 2: So for $95, you will get 2 tons of rock!

Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2

(47.50 ÷ 2 = 23.75)

STEP 3: So now we have the costs for 2 tons and the price for HALF a ton.

What we do now is easy...we ADD THE VALUES TOGTHER!

(95 + 23.75 = $118.75)

The result of $118.75 after adding them together is the PRICE OF 2 TONS!

I HOPE THIS HELPED YOU!

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2 years ago

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 22 Pennies 27 Dimes 9 Nickels

kap26 [50]

Answer:

$P(Penny\ and\ Dime) = \frac{9}{116}$

Step-by-step explanation:

Given

$Pennies = 22$

$Dimes = 27$

$Nickels = 9$

$Quarters = 30$

Required

$P(Penny\ and\ Dime)$

This is calculated as:

$P(Penny\ and\ Dime) = P(Penny) * P(Dime)$

Since it is a selection without replacement, the computation is:

$P(Penny\ and\ Dime) = \frac{Penny}{Total} * \frac{Dime}{Total-1}$

So, we have:

$P(Penny\ and\ Dime) = \frac{22}{22+27+9+30} * \frac{Dime}{22+27+9+30-1}$

$P(Penny\ and\ Dime) = \frac{22}{88} * \frac{27}{87}$

$P(Penny\ and\ Dime) = \frac{1}{4} * \frac{9}{29}$

$P(Penny\ and\ Dime) = \frac{9}{116}$

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2 years ago

Suppose $1,000 is borrowed for one year at 8% simple interest. How much is due at the end of the year to

AleksAgata [21]

Answer:

you will be bankrupt simple!

6 0

3 years ago

Read 2 more answers