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3 years ago

Which is the correct pair?

Mathematics

1 answer:

Art [367]3 years ago

7 0

Answer: D

Step-by-step explanation:

Since we are given that the x value is -1, we can eliminate A and C because the -1 is in the y coordinate.

To find the proper y value, we plug x into the equation.

y=-2x+5 [plug in x=-1]

y=-2(-1)+5 [multiply -2 and -1]

y=2+5 [add 2 and 5]

y=7

Now that we have the y value, we know the coordinate (-1,7) which makes D the correct answer.

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An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. On

Art [367]

Answer:

The next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

Step-by-step explanation:

From the question, one bucket dumps water every 18 minutes, say bucket A;

and the other bucket dumps water every 16 minutes, say bucket B.

Also, It is currently 2:45 P.M. and both buckets dumped water 15 minutes ago,

that is, both buckets dumped water at 2:30 P.M.

For bucket A, the next times it will dump water will be:

2:48 P.M, 3:06 P.M, 3:24 P.M, 3:42 P.M, 4:00 P.M, 4:18 P.M, 4:36 P.M, 4:54 P.M, 5:12 P.M, 5:30 P.M, 5:48 P.M, 6:06 P.M, 6:24 P.M, 6:42 P.M, 7:00 P.M, 7:18 P.M, 7:36 P.M, 7:54 P.M, 8:12 P.M, 8:30 P.M etc.

For bucket B, the next times it will dump water will be:

2:46 P.M, 3:02 P.M, 3:18 P.M, 3:34 P.M, 3:50 P.M, 4:06 P.M, 4:22 P.M, 4:38 P.M, 4:54 P.M, 5:10 P.M, 5:26 P.M, 5:42 P.M, 5:58 P.M, 6:14 P.M, 6:30 P.M, 6:46 P.M, 7:02 P.M, 7:18 P.M, 7:34 P.M, 7:50 P.M etc.

From above, we observe that the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

Hence, the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

6 0

3 years ago

What do you call the amount of substance a container can hold?

Alexxx [7]

It’s either volume or matter

5 0

3 years ago

A fish tank has the shape of a rectangular prism. It has a length of 214 meters, width of 78 meters, and a height of 112 meters.

lesya692 [45]

Answer:

2 61/64 m2

Step-by-step explanation:

V = length * width * height

2.25 * 7/8 * 1.50

V = 2 61/64 m2

* = multiplication symbol

V = Volume

5 0

3 years ago

Doug, a student in this class, knows how to write programs in JAVA. Everyone who knows how to write programs in JAVA can get a h

In-s [12.5K]

Missing Part of Question

Explain which rules of inference are used in the above

Answer:

Universal instantiation, Modus ponens and Existential generalization

Step-by-step explanation:

Splitting the Statement into two, we have

"Doug knows how to write program is Java"

and

"Doug can get a high paying job"

Represent Doug with x. Then the statements is rewritten as

P(x) = "x knows how to write program is Java"

and

Q(x) = "x can get a high paying job"

In logic, A premise is a statement in an argument that provides reason or support for the conclusion.

So, Statement 1 can be written as

1. P(x) ---- Premise

Then, we have

2. Vx(P(x) --> Q(x)) -- Premise. This mean that P(x) for all values in the domain.

The universal instantiation of (2) leads to

3. P(Doug) --> Q(Doug)

The modus ponens of the above gives

4. Q(Doug)

The existential generalisation from above gives

5. ƎxQ(x)

Which means someone in this class can get a high paying job.

PS:

Universal Instantiation is a valid rule of inference from a truth about each member of a class of individuals to the truth about a particular individual of that class; it is represented by VxP(x).

Existential Generalisation is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition.

It is represented as ƎxP(x)

4 0

3 years ago

Question 5 (3 points)

Pie

C D and F because it’s a set rate. 50miles PER hour $10 EACH pizza 5 points for EVERY CORRECT test question. It shows a direct correlation.

3 0

3 years ago