Answer: $42.56
Step-by-step explanation:
Percent discount in department store = 38%
The regular price of suit = $112.
Price taken off the regular price of the suit =
38% of $112
So, 38% of $112
= (38/100) x $112
= 0.38 x $112
= $42.56
(i.e the customer will pay $112 - $42.56 = $69.44 only for the suit)
Thus, the price taken off the regular price of the suit is $42.56
Same as the other one :) if u thought my answers were helpful to you please mark me as brainliest :)
Answer:
8 - i
General Formulas and Concepts:
<u>Algebra I</u>
<u>Algebra II</u>
Step-by-step explanation:
<u>Step 1: Define</u>
(3 - 4i) + (5 + 3i)
<u>Step 2: Simplify</u>
- Combine like terms (Z): 8 - 4i + 3i
- Combine like terms (i): 8 - i
Answer:

Step-by-step explanation:
The formula of a volume of a sphere:

We have

Substitute:
<em>divide both sides by π</em>
<em>multiply both sides by 3</em>

<em>divide both sides by 4</em>
![R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}](https://tex.z-dn.net/?f=R%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%3A4%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B8%7D%5Cto%20R%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B%5Csqrt1%7D%7B%5Csqrt8%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B1%7D%7B2%7D)
F(x) = sin(x) + icos(x)
|f(x)| = sqrt(sin^2(x) + cos^2(x)) = sqrt(1) = 1
Therefore, |f(x)| = 1