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liq [111]
3 years ago
6

Which table contains data with a nonproportional relationship?

Mathematics
2 answers:
zhuklara [117]3 years ago
6 0

Answer:

Step-by-step explanation:

Natali5045456 [20]3 years ago
4 0

Answer:

The second table, counting from the top.

X      Y

2      0

4       2

6       4

Step-by-step explanation:

A proportional relationship is written as:

y = k*x

where k is called the constant of proportionality, is a real number different than zero.

Here we have different tables, if for two pairs (x, y) of the table we have the same value of k, then the relation is proportional. Also you can see that if x = 0, we have:

y = k*0 = 0

then a proportional relationship always has the point (0, 0)

A)

X       Y

1        6

2       12

3       18

Let's use the first two pairs:

(1, 6)

6 = k*1

6/1 = k = 6

(2, 12)

12 = k*2

12/2 = k = 6

in both cases we have k = 6, then this is a proportional relationship.

B)

X      Y

2      0

4       2

6       4

Here we can see the pair (2, 0)

This means that when x = 2, we have y = 0

Then this can not be a proportional relationship, because:

0 = k*2

k = 0

This is not a proportional relationship.

C)

X    Y

1     2

2    4

3    6

Let's find k for the first two points.

(1, 2)

2 = k*1

2/1 = k = 2

(2, 4)

4 = k*2

4/2 = k = 2

In both cases we have k = 2, then this is a proportional relationship.

D)

X   Y

2   -4

4   -8

6   -12

Let's find k for the first two points:

(2, -4)

-4 = k*2

-4/2 = k = -2

(4, -8)

-8 = k*4

-8/4 = k = -2

In both cases we have k = -2, then this is a proportional relationship.

 

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A 12​-tooth gear on a motor shaft drives a larger gear having 42 teeth. If the motor shaft rotates at 700 ​rpm, what is the spee
nata0808 [166]

Answer:

203 rpm

Step-by-step explanation:

The speed of the larger gear can be calculated using the following equation:

v = \omega*R  

<u>Where</u>:

ω: is the angular velocity of the motor = 700 rpm

R: is the gear ratio

The gear ratio is the following:

R = \frac{n_{(a)}}{n_{(b)}}  

<u>Where:</u>

n(a): is the number of teeth on the small gear = 12 teeth  

n(b): is the number of teeth on the larger gear = 42 teeth

The gear ratio is:

R = \frac{12}{42} = 0.29

Now, the speed of the larger gear is:

v = \omega*R = 700 rpm*0.29 = 203 rpm

Therefore, the speed of the larger gear is 203 rpm.

I hope it helps you!                        

3 0
3 years ago
A ball is drawn randomly from a jar that contains 7 red balls, 5 white balls, and 4 yellow ball. Find the probability of the giv
Furkat [3]

Missing Part:

a. A red ball is drawn

b. A white ball is drawn

Answer:

a. P(Red) = 0.4375

b. P(White) = 0.3125

Step-by-step explanation:

Given

Red = 7

White = 5

Yellow = 4

First, we need to calculate the total

Total = Red + White + Yellow

Total = 7+5+4

Total = 16

Solving (a): Probability of Red.

This is calculated by dividing number of red balls by the total

So:

P(Red) = \frac{Red}{Total}

P(Red) = \frac{7}{16}

P(Red) = 0.4375

Solving (a): Probability of White.

This is calculated by dividing number of white balls by the total

So:

P(White) = \frac{White}{Total}

P(White) = \frac{5}{16}

P(White) = 0.3125

7 0
3 years ago
Identify the vertex of the graph. Tell whether it is a minimum or a maximum.
Sedbober [7]

Answer:

Vertex = (-1, 2)  

Maximum

Step-by-step explanation:  

The middle point of the graph is at x coordinate -1 and the point is at the top while the graph slopes down so it is a maximum point and not a minimum point.

Please mark Brainliest if this was helpful :)

6 0
3 years ago
Write equations for the vertical and horizontal lines passing through the point , −1−8 .
icang [17]
Vertical line (when y = 0)
⇒ Equation : x = -1

Horizontal line (when x = 0)
⇒ Equation : y = -8

--------------------------------------------------------------
Answer: x = -1, y = -8
--------------------------------------------------------------
7 0
3 years ago
Help me with this plz
Lisa [10]
The answer is the first one
5 0
3 years ago
Read 2 more answers
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