Answer:
4 students were missing
Step-by-step explanation:
A teacher reserved 6 sheets of colored paper for each of her 28
students do a job. As some students were missing, the teacher gave 7
sheets for each student present. How many students were missing?
6*28=168
Answer:
The modulus of the complex number 6-2i is:
![|z|\:=2\sqrt{10}](https://tex.z-dn.net/?f=%7Cz%7C%5C%3A%3D2%5Csqrt%7B10%7D)
Step-by-step explanation:
Given the number
![6-2i](https://tex.z-dn.net/?f=6-2i)
We know that
where x and y are real and ![\sqrt{-1}=i](https://tex.z-dn.net/?f=%5Csqrt%7B-1%7D%3Di)
The modulus or absolute value of z is:
![|z|\:=\sqrt{x^2+y^2}](https://tex.z-dn.net/?f=%7Cz%7C%5C%3A%3D%5Csqrt%7Bx%5E2%2By%5E2%7D)
Therefore, the modulus of
will be:
![z=6-2i](https://tex.z-dn.net/?f=z%3D6-2i)
![z=6+(-2)i](https://tex.z-dn.net/?f=z%3D6%2B%28-2%29i)
![|z|\:=\sqrt{x^2+y^2}](https://tex.z-dn.net/?f=%7Cz%7C%5C%3A%3D%5Csqrt%7Bx%5E2%2By%5E2%7D)
![|z|\:=\sqrt{6^2+\left(-2\right)^2}](https://tex.z-dn.net/?f=%7Cz%7C%5C%3A%3D%5Csqrt%7B6%5E2%2B%5Cleft%28-2%5Cright%29%5E2%7D)
![=\sqrt{6^2+2^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B6%5E2%2B2%5E2%7D)
![=\sqrt{36+4}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B36%2B4%7D)
![=\sqrt{40}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B40%7D)
![=\sqrt{2^2}\sqrt{2\cdot \:5}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B2%5E2%7D%5Csqrt%7B2%5Ccdot%20%5C%3A5%7D)
![=2\sqrt{2\cdot \:5}](https://tex.z-dn.net/?f=%3D2%5Csqrt%7B2%5Ccdot%20%5C%3A5%7D)
![=2\sqrt{10}](https://tex.z-dn.net/?f=%3D2%5Csqrt%7B10%7D)
Therefore, the modulus of the complex number 6-2i is:
![|z|\:=2\sqrt{10}](https://tex.z-dn.net/?f=%7Cz%7C%5C%3A%3D2%5Csqrt%7B10%7D)
Answer c because .10 x 40 equals 4 plus 2
Answer:
y = 120°
Step-by-step explanation:
y = 120° because opposite angles of two intersecting lines are equal
Answer:
![39+0.15m \leqslant 50](https://tex.z-dn.net/?f=39%2B0.15m%20%5Cleqslant%2050)
Step-by-step explanation:
From the question, Diana wants her total bill to be less than $50.
Diana pays a fixed monthly bill of
$39 for her mobile phone and an additional
$0.15 per minute for phone internet service.
The bill Diana pays for m minutes of using the internet is $0.15m in a month.
The total monthly bill becomes,
![39+0.15m](https://tex.z-dn.net/?f=39%2B0.15m)
The maximum bill she wants to pay is $50.
![\implies39+0.15m \leqslant 50](https://tex.z-dn.net/?f=%20%5Cimplies39%2B0.15m%20%5Cleqslant%2050)
This inequality can be solved to determine the number of available minutes.