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Semmy [17]
3 years ago
15

Comun factor of 6 and 9​

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
3 0

Answer: The common factors of 6 and 9 are 1 and 3.

Explanation:

<u>Factoring 6:</u>

1 x 6

2 x 3

The factors of 6 are: 1, 2, 3, 6

<u>Factoring 9: </u>

1 x 9

3 x 3

The factors of 9 are: 1, 3, 9

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Write an equation in point-slope form for the line that has a slope of 4/5 and contains the point (−5, −3).
ankoles [38]

y = mx + b, where m = slope, and b = y-intercept.

Since you are not given the y-intercept, you have to solve for it through the equation, y = (4/5)x (which is the slope you are given) + b, and replace x and y with values given, which are (-5,-3)

y = (4/5)x + b

-3 = (4/5)(-5) + b

-3 = -4 + b

1 = b


Then replace b in the first equation to get the answer

y = (4/5)x + 1

5 0
3 years ago
A circle has a circumfernce of 6. It has an arc length of 1
fomenos

Answer:

The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:

6= πd and then divide both sides of the equation by π you get that d = 1.90

To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:

1 = 0.9549θ.  

If you divide both sides of the equation by 0.9549 you get θ = 1.047197 radians.  

The question asked for the angle measure in degrees so you would need to convert the angle measure to degrees by multiplying the degree measurement by 180/π

1.047197 x 180/π =  60°

8 0
3 years ago
A store owner give 5% discount on all his bicycles. For a bicycle prices at $24,000 (without discount) he decides to give an add
stepladder [879]

Answer:

23999.98

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The resting heart rate of 60 patients is shown in the frequency table below.
Murrr4er [49]

The standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.

<h3>How to determine the standard deviation of the data set?</h3>

The dataset is given as:

Heart Rate  Frequency

60 1

65 3

70 4

75 12

80 8

85 15

90 9

95 5

100 3

Calculate the mean using

Mean = Sum/Count

So, we have

Mean = (60 * 1 + 65 * 3 + 70 * 4 + 75 * 12 +  80 * 8 +  85 * 15 +  90 * 9 +  95 * 5 + 100 * 3)/(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3)

Evaluate

Mean = 82.25

The standard deviation is

\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f -1}}

So, we have:

SD = √[1 * (60 - 82.25)^2 + 3 * (65 - 82.25)^2 + 4 * (70 - 82.25)^2 + 12 * (75 - 82.25)^2 + 8 * (80 - 82.25)^2 +  15 * (85 - 82.25)^2 +  9 * (90  - 82.25)^2 + 5 * (95 - 82.25)^2 + 3 * (100 - 82.25)^2)]/[(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3 - 1)]

This gives

SD = √85.9533898305

Evaluate

SD = 9.27

Hence. the standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.

Read more about standard deviation at:

brainly.com/question/4079902

#SPJ1

5 0
2 years ago
What’s a multi step equation that equals 22, 23, 29? please this is urgent
Delicious77 [7]
1.5(x+40)-3=4.5(x-2) X=22
4(x+3)+5=109 X=23
3(x-8)=63 X=29
Really hope this helps because it took a while

6 0
3 years ago
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