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Montano1993 [528]
2 years ago
10

Which set of ordered pairs represents a function?

Mathematics
2 answers:
GaryK [48]2 years ago
6 0
D (not 100% sure) if there are multiple of the same x then it's not a function. In both sets they don't have any repeating x's please don't not rely on this answer cause I am not positive that is correct
vovangra [49]2 years ago
4 0
B. is the answer I believe since most are not functions
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1/4x + 1 + 3/4c - 2/3 - 1/2x<br><br> what is it equal to??
mylen [45]

Answer: -1/4x+1/3+3/4c

Step-by-step explanation:

<h2>We can't solve it but we can simplify</h2>
  1. 1/4x+1+3/4c-2/3-1/2x, try to move the equation around. Since the operations are in the same level we can do that.
  2. 1/4x-1/2x+(1-2/3)+(3/4c), 1/4 minus 1/2 can be written as 0.25-0.50 which is -0.25 or -1/4 don't forget to add x (we can do this since there like terms)
  3. -1/4x+(1-2/3)+(3/4c), now we can convert 1 into a fraction which will become 3/3, so we can rewrite is as 3/3-2/3, which is 1/3
  4. -1/4x+1/3+3/4c, We can't simplify anymore so this is our final answer.
8 0
2 years ago
Suppose that a tunnel is dug through the center of the earth. You stand on a tower 100 m tall and drop a 3-kg rock into the tunn
Mashutka [201]

Answer:

The frequency of the resulting harmonic motion is 0.000219 Hz

Step-by-step explanation:

We are going to calculate the time it takes for one single wave ocillation.

Frequency and the time taken to finish a single wave oscillation are inversely proportional. The formula for calculating frequency when given the time taken to complete a wave cycle is written as: f = 1 / T

In this formula, f represents frequency and T represents the time period or amount of time required to complete a single wave oscillation.

I consider the initial speed to be zero, because it is of no significance compared with the free fall into the earth, through the earth and back again.

Given from Wikipedia:

The diameter of the earth is 1.2742 * 10⁴ km which is 1.27 * 10⁷ m

2 times the radius = diameter, so the radius of the earth = (1.27 * 10⁷ m) /2 = 6.4 * 10⁶ m

radius earth = r

r = 6.4 * 10⁶ m

Now imagine the tunnel and the free fall.

1. Initially the rock has no speed.

2. Due to the gravitational accelleration, the rock will increase it's speed every second by a factor of 9.8.

3. The Rock gains speed untill it reached the centre of the earth. By then it will have reached it's maximum speed and it has travelled the distance r !

4. After this moment, the Rock will be slowed down because of the negative accelleration...

After it has travelled from the centre of the earth to the other end of the earth, it will have stopped completely, and again passing the distance r.

5. Now at the other end of the earth there is the same initial situation as described at point 1, only the Rock has travelled the distance equal to the diameter of the earth, (exactly 2 times r).

So basically, the samething happens once more, only this time it starts exactly from the other end of the earth...

6. Initially the rock has no speed.

7. Due to the gravitational accelleration, the rock will increase it's speed every second by a factor of 9.8.

8. The Rock gains speed untill it reached the centre of the earth. By then it will have reached it's maximum speed.

9. By now the Rock will be slowed down because of the negative accelleration... It is moving towards the initial starting point...

After it has travelled from the centre of the earth to the other end of the earth, it will have stopped completely.

10. Now finally the Rock is exactly at the starting position.

In reality there will have been some loss of speed due to friction, so the Rock will be slightly lower then the 100 m above the ground.

let's calculate the time it takes to free fall for the distance r.

initial speed =0 and after 6.4 * 10⁶ m it's speed will be maximum. We need to find out how much time passes before that distance is passed.

r = v*t + 0.5*a*t²

r = 0 + 0.5*a*t²

0.5*a*t² = r

t² = r / ( 0.5 * a )

t² = 6.4 *10⁶ / ( 0.5 * 9.8 )

t² = 1.306 * 10 ⁶

t = 1142.86 s

Now please confirm that in order for the Rock to move back to the initial starting point it has to travel 4 times as much time. It has to travel r to centre of the earth then another r to travel to to the other side of the earth, and back again. So indeed 4 times r.

The time it will take must be the same as 4 * 1142.86 s

now this is the time of one single wave ocillation.

Since T = 4571.43 s

f = 1 / 4571.43

f = 0.00021874993164 Hz

The frequency of the resulting harmonic motion is 2.19 *10-4

The frequency of the resulting harmonic motion is 0.000219 Hz

6 0
3 years ago
It is estimated that approximately one-half of all aluminum cans will be recycled each year. If a soft drink company produces 35
Harrizon [31]
350,000×0.52^(4)
=25,590.656
7 0
3 years ago
The measure of angel B is (3x - 4)º and the measure of angel D is (2x - 6)°. What are the measures of angles B and D?​
MA_775_DIABLO [31]

Answer:

b=110 d=70

Step-by-step explanation:

6 0
2 years ago
One of the events at the circus starred Gabriella the Human Cannonball. On Saturday she performed in four shows. Shot from a can
MAXImum [283]
My guess is 59.49 meters, you add all 4 of the distances together to get the total from that one day. Hope this helps :)
7 0
3 years ago
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