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3 years ago

12

If k1/2 = integer and k1/4 = integer, which is a possible value for k?

1 answer:

Stels [109]3 years ago

5 0

An integer is a whole number that is not a fraction. So for both cases to not get a fraction one possible value would be k = 8 or any multiple of 4.

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Blue Ray's computer sales totaled $59,500 last month. She receives a commission rate of 15% on all sales. What commission did sh

LenaWriter [7]

Answer: $8,925

Step-by-step explanation:

Convert 15% to decimals. You can do this by dividing by 100.

$\frac{15}{100}=0.15$

Now, take the total amount of the sales and multiply it by this decimal.

$59,500*0.15=8925$

5 0

3 years ago

Voltage sags and swells. The power quality of a transformer is measured by the quality of the voltage. Two causes of poor power

zysi [14]

Answer:

a

$z-score = 1.57$

b

$z-score_s = -3.36$

Step-by-step explanation:

From the question we are told that

The sample size is n = 103

The sample mean of sag is $\= x_1 = 353$

The sample mean of swells is $\= x_2 = 184$

The standard deviation of sag is $s_1 = 30$

The standard deviation of swells is $s_2 = 25$

The number of swell for a randomly selected transformer is k = 100

The number of sag for a randomly selected transformer is c = 400

Generally the z-score for the number of swells is mathematically represented as

$z-score_s = \frac{ k - \= x_2}{s_2}$

=> $z-score_s = \frac{ 100- 184}{25}$

=> $z-score_s = -3.36$

Generally the z-score for the number of sags is mathematically represented as

$z-score = \frac{ c - \= x_1}{s_1}$

$z-score = \frac{ 400 - 353}{30}$

$z-score = 1.57$

4 0

3 years ago

Plss answer!! <br>MERRY Christmas!!! <br>Critical Question. AAAAA

liberstina [14]

Answer:

Step-by-step explanation:

abc = 1

We have to prove that,

$\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1$

We take left hand side of the given equation and solve it,

$\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}$

Since, abc = 1,

$\frac{1}{c}=ab$ and c = $\frac{1}{ab}$

By substituting these values in the expression,

$\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}=\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+ab}+\frac{1}{1+\frac{1}{ab}+\frac{1}{a}}$

$=\frac{b}{b+ab+1}+\frac{1}{1+b+ab}+\frac{ab}{ab+1+b}$

$=\frac{1+b+ab}{1+b+ab}$

$=1$

Which equal to the right hand side of the equation.

Hence, $\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1$

5 0

3 years ago

Y=40+90x what is the meaning

Dafna1 [17]

Y = total cost
40 = The one time fee
90 = the service charge per month
x = number of months

4 0

3 years ago

Marcy needs 150 feet of fabric for her project. She uses 20% of it. How many feet of fabric did she use for her project so far?

Nataliya [291]

Answer:

The answer is 120 feet of fabric

4 0

2 years ago

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