Answer:
C) (14, 8, 10)
Step-by-step explanation:
the values in the parentheses go in order of the letters in the first equation
all you have to do is plug in the values
p+q+r=32. (14)+(8)+(10)=32
p-r=4. (14)-(10)=4
2p+q=36. 2(14)+(8)=36
The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.
<h3>What are the exponent and power rules?</h3>
The important exponent and power rules are:
- a⁻ⁿ = 1/aⁿ; negative exponent
- (ab)ⁿ = aⁿ × bⁿ; power of a product rule
- aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
- aⁿ/aˣ = aⁿ⁻ˣ; division rule
; fractional exponent
<h3>Calculation:</h3>
The given expression is 
Using calculator:
= 0.0265
Applying the exponent rule for evaluating the given expression:

Applying the negative power rule;
I.e., a⁻ⁿ = 1/aⁿ
⇒ 
Applying fractional exponent rule;
I.e., ![a^{\frac{x}{y} } = \sqrt[y]{a^x}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bx%7D%7By%7D%20%7D%20%3D%20%5Csqrt%5By%5D%7Ba%5Ex%7D)
⇒ ![\frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B126%5E%7B3%2F4%7D%7D%3D%5Cfrac%7B1%7D%7B%5Csqrt%5B4%5D%7B126%5E3%7D%20%7D)
⇒ 1/![\sqrt[4]{2000376}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2000376%7D)
⇒ 1/37.6077
⇒ 0.0265
Therefore, the value of the given expression is 0.0265.
Learn more about exponent rules here:
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Answer:
2 1/3 cups of flour for every dozen muffins
Step-by-step explanation:
1 1/2 dozen muffins equals 3 1/2 cups of flour which is also the same as 7/2 cups of flour. I know that (3) 1/2 dozen equals 1 1/2 dozen so I divided 7/2 by 3 which is 1 1/6 to get how much flour for 1/2 dozen then multiplied it by 2 to get how much flour in a dozen = 2 2/6 which simplified is 2 1/3.
a) Choose Z since the σ is smallest . The smaller the σ the higher the consistency. Also we can see that the fewest day the student attendance is higher than other while the highest day is the same with others. (L = 130 ,H = 180)
b) Choose W since mean in W is the highest.
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Answer:
Answer is D
Step-by-step explanation: