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Inga [223]
3 years ago
11

The diameter of a small gear is 16 cm this is 2.5 centimeters more than 1/4 of the diameter of a large clear what is the diamete

r of the larger gear
Mathematics
1 answer:
shusha [124]3 years ago
6 0
Diameter of the larger gear  х см
1/4х = 16 - 2.5
1/4x = 13.5
x = 13.5 * 4
x = 54 cm - diameter of the larger gear / 
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Choose the slope-intercept equation of the line that passes through the point (4, -6) and is parallel to y = - 1/2 x + 5. (3 poi
telo118 [61]
First, it is important to understand that parallel lines have the same slope. Therefore, based on the formula y=mx+b in which m represents slope and based on the equation y=-1/2x+5, the slope of the unknown line is also -1/2. Then, there are two different ways to solve this problem using different formulas.

The first method to find the unknown equation is easy but not widely known. We can use the point slope formula which is (y-y1)=m(x-x1) in which we can plug a point and slope to find the equation. When we plug in the values given, we get y+6=-1/2(x-4) or y+6 =-1/2x+2 which simplifies to y=-1/2x-4.

The other method is using the slope intercept form or y=mx+b. When we plug in our slope and our point, we get -6=-1/2*4+b or -6=-2+b so b must equal -4, therefore we have all the information we need to plug values into y=mx+b. When we plug in our slope and y-intercept, we get y=-1/2x-4 which is the answer.

I hope this helps!
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3 years ago
What is the volume of the solid?
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Marty's cat weighs 10.4 pounds. This is 24.4 pounds less than the weight of his dog. Write and solve a subtraction equation to f
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A ship is 130 m away from the centre of a barrier that measures /
ANEK [815]

Answer:

Step-by-step explanation:

50 meters away

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2 years ago
Ms. Haven recorded the number of homework assignments her students completed
STatiana [176]

Answer:

(6, 97) is the outlier.

Step-by-step explanation:

When we have a data set:

x: x₁, x₂, x₃, ..., xₙ

y: y₁, y₂, y₃, ..., yₙ

Each one of the pairs (x₁, y₁), (x₂, y₂), etc, is an ordered pair that belongs to the data set.

Usually, these values are distributed in some way that, we assume, is normalized. So if one of these ordered pairs is really different from the others, then that pair is called an "outlier".

In the data set, we have:

Number of homework completed vs Score assigned.

You can see that, as the number of homework completed increases, also does the score

For example, for the smaller number of homework completed, (5) the score is 67, the minimum score.

And as the number of homework completed reaches to 10, the score increases to 90 or 98.

But there is an outlier there, you can see that a student that only completed 6 times the homework, has a score of 97 (one of the largest scores) (this score is more than all the scores for the students with 6, 7, 8 and 9 completed homeworks) so we can conclude that this one is the outlier.

(6, 97) is the outlier.

3 0
2 years ago
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