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zavuch27 [327]
3 years ago
13

Suppose that y varies inversely as x, and x=9 when y=15. Find the value for k and write the function. Group of answer choices La

TeX: k=\frac{15}{9} k = 15 9 k = 15 9 and LaTeX: y=\frac{9}{15}x y = 9 15 x y = 9 15 x LaTeX: k=\frac{15}{9} k = 15 9 k = 15 9 and LaTeX: y=\frac{15}{9x} y = 15 9 x y = 15 9 x LaTeX: k=135 k = 135 k = 135 and LaTeX: y=\frac{135}{x} y = 135 x y = 135 x LaTeX: k=135 k = 135 k = 135 and LaTeX: y=135x
Mathematics
1 answer:
Radda [10]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition that x = 9 when y = 15

15 = \frac{k}{9} ( multiply both sides by 9 )

k = 135

y = \frac{135}{x} ← equation of variation

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What is the intersection of the given lines AE and DE?
cricket20 [7]

Given statement is "What is the intersection of the given lines AE and DE?".

That gives us information that there are two lines named AE and DE which intersect each other. Now we have to find their intersection point.


If you see carefully the name of both lines AE and DE then you will find that; they have common letter "E" in their name.

That means point "E" lies on both lines.

We know that intersection point always lies on both lines.

Which proves that point "E" is the intersection point.


Hence choice "<u>B. Point E" </u>is the final answer.

7 0
3 years ago
Kate, Alexia, and Trina just completed the 400-meter dash at the track meet. Kate finished the race 6 seconds faster than Alexia
Digiron [165]

Answer:

Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds

Step-by-step explanation:

A = K + 6

T = K - 3

K + A + T = 2 min 39 sec or 159 sec

K + (K + 6) + (K - 3) = 159sec

3K + 3 = 159sec

3K = 156sec

K = 52 sec

A = 52 + 6 = 58 sec

T = 52 - 3 = 49 sec

8 0
3 years ago
Ms evans paycheck is $850 a week.If she works 49 hours per week, how muxh does she make an hour
Aneli [31]
She would make about 17.35 because $850 divided by 49 is 17.3469388 rounded is 17.35
3 0
3 years ago
Consider a data set containing the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The devi
Leokris [45]

Answer:

If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

s = \sqrt{\dfrac{875.5}{7}} = 11.18

\text{ Sample variance} = s^2 = 125.07

Population:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46

\text{ Population variance} = \sigma^2 = 109.44

7 0
3 years ago
Timmy wants to buy a scooter and the price was $50. When
Lunna [17]

Answer:

$30

Srry if its wrong

Step-by-step explanation:

3 0
2 years ago
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