Answer:
<u>It</u><u> </u><u>is</u><u> </u><u>(</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u>y</u><u>)</u><u>/</u><u>xy</u>
Step-by-step explanation:
![\frac{1}{y} - \frac{2}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7By%7D%20%20-%20%20%5Cfrac%7B2%7D%7Bx%7D%20%20)
carry out LCM method:
LCM of y and x is xy
![= \frac{x - 2y}{xy}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7Bx%20-%202y%7D%7Bxy%7D%20)
<h3>Answer: Choice B)
![n+n+2 \ge 84](https://tex.z-dn.net/?f=n%2Bn%2B2%20%5Cge%2084)
</h3>
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Explanation:
n = first number
n+2 = second number
Consecutive odd integers are odd numbers that follow one after another. Eg: {3, 5, 7, 9}
Note how I add 2 each time to get the next number. So that explains the "n+2"
Add up n and n+2, then set that sum equal to or larger than 84 like so
![n+n+2 \ge 84](https://tex.z-dn.net/?f=n%2Bn%2B2%20%5Cge%2084)
We could simplify or solve for n, but I'll stop here since this is what answer choice B is saying.
side note: "at least" means "that value or more". So if I said "at least 10", then I mean "10 or more".
Answer:
a. 7 Ω
b. 5 Ω
c. 4.472 Ω
Step-by-step explanation:
a. Since we have two resistors in with resistances R = 4Ω and R' = 3 Ω in series, the total impedance z of the circuit is the sum of the individual resistances.
So, z = R + R' = 4 Ω + 3Ω = 7 Ω
b. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, the total impedance is z = √(R² + X²)
z = √((4 Ω)² + (3 Ω)²)
z = √(16 Ω² + 9 Ω²)
z = √(25 Ω²)
z = 5 Ω
c. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, and a capacitor of reactance, X' = 1 Ω the total impedance is z = √[R² + (X - X')²]
z = √((4 Ω)² + (3 Ω - 1 Ω)²)
z = √(16 Ω² + (2 Ω)²)
z = √(16 Ω² + 4 Ω²)
z = √(20 Ω²)
z = √(4 × 5) Ω
z = √4 × √5 Ω
z = 2√5 Ω
z = 4.472 Ω
Answer:
10 inches
Step-by-step explanation:
w = 1/5 P
Multiply each side by 5
5w = 1/5P *5
5w =P
We know the perimeter of a rectangle
P = 2(l+w)
We can set the two equations equal
5w = 2 (l+w)
l =15 inches
We can substitute 15 in for the length
5w = 2(15+w)
Distribute
5w = 30 +2w
Subtract 2w from each side
5w -2w = 30+2w-2w
3w =30
Divide each side by 3
3w/3 = 30/3
w =10
The width is 10 inches