Answer:
34
Step-by-step explanation:
We are here given a modulus expression and we need to find out the value when m = -5 and n = 3 .
<u>Modulus</u><u> </u><u>:</u><u>-</u> It always gives positive value . For example ,
<u>The </u><u>given</u><u> </u><u>modulus </u><u>expression</u><u> is</u><u> </u><u>:</u><u>-</u><u> </u>
As the number inside the modulus operator are already squared therefore they will always give positive value for real numbers . Here we can omit the modulus .
Plug in the given values ,
Solve 5² and 3² and add them ,

On adding ,
Therefore ,
<u>Hence</u><u> the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>34</u><u> </u><u>.</u>
The answer is 48.
<span>Out of 50 people, 4 had a mispriced item: 50 people - 4 mispriced
Out of 600 people, x will have a mispriced item: 600 people - x
Make a proportion:
50 : 4 = 600 : x
50 * x = 4 * 600
50x = 2400
x = 2400 / 50
x = 48</span>
Answer:
-3/5
Step-by-step explanation:
count the rise and the run of both points
Answer: 2:1
<u>Step-by-step explanation:</u>
Volume of a pyramid (V) = 
For simplicity, let's assume that l = w = h, then
Pyramid 1 has a volume of 64:
![64=\dfrac{1}{3}s^3\\\\3\times 64=s^3\\\\\sqrt[3]{3\times 64}=\sqrt[3]{s^3} \\\\4\sqrt[3]{3} =s](https://tex.z-dn.net/?f=64%3D%5Cdfrac%7B1%7D%7B3%7Ds%5E3%5C%5C%5C%5C3%5Ctimes%2064%3Ds%5E3%5C%5C%5C%5C%5Csqrt%5B3%5D%7B3%5Ctimes%2064%7D%3D%5Csqrt%5B3%5D%7Bs%5E3%7D%20%20%5C%5C%5C%5C4%5Csqrt%5B3%5D%7B3%7D%20%3Ds)
Pyramid 2 has a volume of 8:
![8=\dfrac{1}{3}s^3\\\\3\times 8=s^3\\\\\sqrt[3]{3\times 8}=\sqrt[3]{s^3} \\\\2\sqrt[3]{3} =s](https://tex.z-dn.net/?f=8%3D%5Cdfrac%7B1%7D%7B3%7Ds%5E3%5C%5C%5C%5C3%5Ctimes%208%3Ds%5E3%5C%5C%5C%5C%5Csqrt%5B3%5D%7B3%5Ctimes%208%7D%3D%5Csqrt%5B3%5D%7Bs%5E3%7D%20%20%5C%5C%5C%5C2%5Csqrt%5B3%5D%7B3%7D%20%3Ds)
Comparing the sides of Pyramid 1 to the sides of Pyramid 2:
![\dfrac{4\sqrt[3]{3}}{2\sqrt[3]{3}}=\dfrac{2}{1}\implies \text{scale factor of }2:1](https://tex.z-dn.net/?f=%5Cdfrac%7B4%5Csqrt%5B3%5D%7B3%7D%7D%7B2%5Csqrt%5B3%5D%7B3%7D%7D%3D%5Cdfrac%7B2%7D%7B1%7D%5Cimplies%20%5Ctext%7Bscale%20factor%20of%20%7D2%3A1)
There is no list but the answer would be
4 log (x+3)