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vlabodo [156]
3 years ago
15

25 divided 5 + 7 - [ 4 x 3 ] =

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
3 0
The answer is 0, hope it helps lol
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How many ways can 5 people be arranged in a line?
Rasek [7]

Answer: 120 ways

Step-by-step explanation: In this problem, we're asked how many ways can 5 people be arranged in a line.

Let's start by drawing 5 blanks to represent the 5 different positions in the line.

Now, we know that 5 different people can fill the spot in the first position. However, once the first position is filled, only 4 people can fill the second spot and once the second spot is filled, only 3 people can fill the third spot and so on. So we have <u>5</u> <u>4</u> <u>3</u> <u>2</u> <u>1</u>.

Now, based on the counting principle, there are 5 x 4 x 3 x 2 x 1 ways for all 5 spots to be filled.

5 x 4 is 20, 20 x 3 is 60, 60 x 2 is 120, and 120 x 1 is 120.

So there are 120 ways for all 5 spots to be filled which means that there are 120 ways that 5 people can be arranged in a line.

I have also shown my work on the whiteboard in the image attached.

7 0
3 years ago
Evaluate 19-11+(-17)+(-19)+11
Nataliya [291]
The answer is -17 hope this helps
3 0
3 years ago
Read 2 more answers
Multiply? I don't know how to do this o.o<br><br> (X+4√2) (x-4√2) (x-3i)
Korolek [52]

Answer:

x^{3} -(3i) \; x^{2} -32x + 96 i.

Step-by-step explanation:

Notice that the first two factors are in the form (x-a)(x+a), which is equal to (x^{2} - a^{2}). Start by combining and expanding these two factors:

Let a = 4\sqrt{2}.

a^{2} = 16 \times 2 = 32.

(x + a) (x - a) = x^{2} - a^{2} = x^{2} -32.

This expression can now be expressed as (x^{2} - 32)(x - 3i). i stands the unit imaginary number, where i^{2} = -1. Unless i is raised to a certain power other than 1, it can be treated just like a constant.

Expand this expression using FOIL:

\begin{aligned}&(x^{2} - 32)(x - 3i)\\=&\underbrace{x^{2}\cdot x}_{\verb!F!} +\underbrace{(x^{2})(-3i)}_{\verb!O!} + \underbrace{(-32)x}_{\verb!I!} + \underbrace{(-32)(-3i)}_{\verb!L!}\\=& x^{3} -(3i)x^{2}-32x + 96i \end{aligned}.

6 0
3 years ago
Order from least to greatest <br><br> -0.8,0.4,1/11,2/33
Vlad1618 [11]
-.8,2/33,1/11,.4 good luck
6 0
3 years ago
The coordinates of the vertices of ANGLE PQR are P(-3,3), Q(2,3), and R(-3,-4). Find the side lengths to the nearest hundredth a
Marat540 [252]
<span>
Answer: PQ=5, QR=radical 61= 7.81, angle: 50degrees,</span>Why:PQ=|-3|+2=5PR=6<span>angle Alfa, so there is right angle triangle PQR so I can use following formula:</span>PQ^2 + RP^2=QR^2;25 + 36=QR^2;QR=radical 61<span>also I can use: sinus (angle)=PR/QR;</span><span>sin(angle)=6/radical61=0.76822 which gives angle to be little bit more than 50 degrees{sinus 50 degrees=<span>0,7660</span>}. </span>
7 0
3 years ago
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