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Pani-rosa [81]
3 years ago
7

Multiply and simplify -12i x 3i

Mathematics
2 answers:
otez555 [7]3 years ago
8 0
-36i^2 because -12 X 3= -36 and i X i = i^2
Lubov Fominskaja [6]3 years ago
3 0
-12i×3i=-12×3×i×i
12×3=36 i×i=i²
So in the case of basic algebra, it's 36i²

If i is √-1 then i² is √-1×√-1 which is -1
36×-1=-36
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Write a sentence to compare the two points shown on the number line<br><br> -2.7 and 4.5
Vera_Pavlovna [14]
4.5 has a greater value than -2.7.
3 0
3 years ago
Solve for the variable: 3.5x=32.2 <br> What’s the variable?
kirill115 [55]

Answer:

The variable is x.

The value of the variable is 9.2.

Step-by-step explanation:

The equation shows the variable x multiplied by 3.5 with the result of that multiplication being 32.2. In order to solve for x, you must "undo" that multiplication.

The definitions of the multiplicative inverse and of the multiplication identity element tell you how to do that. The multiplicative inverse of a number is its reciprocal: the multiplicative inverse of 3.5 is 1/3.5. Multiplying a number by its multiplicative inverse gives a result of 1. Here, that means ...

3.5 × (1/3.5) = 1

The property of the multiplicative identity element (1) is that anything multiplied by that is just that thing:

x · 1 = x

So, to solve this equation, you multiply both sides by the multiplicative inverse of 3.5:

3.5x = 32.2

(1/3.5)(3.5)x = (1/3.5)(32)

1x = 9.2 . . . . . carry out the multiplication

x = 9.2 . . . . . . recognize 1x = x

___

You will recognize that multiplying by 1/3.5 is the same as dividing by 3.5. In other words, we solve this equation by dividing it by the coefficient of x.

4 0
3 years ago
A hostel having strength of 300 students requires on an average 36000 L of water per day. It has a tank measuring 10 m × 8 m × 9
Novosadov [1.4K]

Answer:

The water in the tank filled to capacity lasts 20 days.

Step-by-step explanation:

Total number of students in the hostel = 300

The average need of water  per day = 36,000 L

The dimensions of the tank =   10 m  ×   8 m   ×   9 m

Now, the capacity of the tank = LENGTH X WIGHT X HEIGHT

     = 10 m   ×   8 m   ×   9 m =  720 cubic meters

Now, 1m^{3}   = 1,000L

⇒720 m^{3}   = 720  \times  1,000L  = 720,000L

So, the capacity of the tank = 720,000 L

and the average usage of water by 300 students = = \frac{720,000 L}{36,000 L}  = 20

⇒\textrm{The number of days water lasts}  = \frac{\textrm{Total capacity of the tank}}{\textrm{Average need of water per day}}

or, number of days = 20

Hence,  the water in the tank filled to capacity lasts 20 days.

3 0
3 years ago
Help me with 8 through 12 please and thank you only 4 questions
Vera_Pavlovna [14]

Answer:

i can't do that I don't know how I'm sorry

5 0
2 years ago
Estimate by rounding each number to the nearest hundredth and then subtract 360.727 - 89.852
kykrilka [37]
Hi there!

The correct answer for you is 270.88.

To round to the hundreth's place (.0<u>1</u><u />), you need to take the number in the thousand's place (.00<u>1</u>), and determine if the number needs to go up or down.

If the number in the thousand's place is <u>greater</u> than 4, then the number goes up.

360.72<u>7</u> --> This means that the hundreth's number goes up to 3.

If the number in the thousand's place is <u>lesser</u> than 5, then that number stays the same.

89.85<u>2</u> --> This means that the hundreth's number stays the same.

After you round, then just subtract:

360.73 - 89.85 = 270.88.

I hope this helps!
Brady
<u />

7 0
3 years ago
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