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saul85 [17]
3 years ago
15

After slowing down, the dragons could fall behind on their journey. What do the dragons need to do in order to ensure that their

average rate of change stays the same for the trip? Discuss how the dragons' instantaneous rates of change at different times can affect their average rate of change.
Mathematics
1 answer:
liberstina [14]3 years ago
6 0
The dragons would have to speed up to balance out the time that they slowed down.

The instantaneous rates of changes are all the individual speeds at given times. If you have some that are slow, you will need to have just as many that are fast to balance it out and ensure they have the correct average speed.
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(2-cos^2A)(1+2cot^2A)=(2+Cot^2A)(2-sin^2A)​
fomenos

Answer:

2 sin (2A) cos (2A)^4 + 2cos (2A)

---------------------------------------------------

                 sin (2A)

Step-by-step explanation:

7 0
3 years ago
Can someone plz help me out..... ​
Shtirlitz [24]

Answer: The correct answer is 3

Step-by-step explanation:

4³ = 64

The way to check your work is to multiply 4 x 4 x 4:

16 x 4 = 64

4 0
3 years ago
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What is 16-14 dealing with intergers
fenix001 [56]
16 - 14 = 2

Think of it as in objects. You have 16 candies, and you eat 14. How many do you have left? You can count it and see. You have 2 left. So 16 - 14 = 2

Hope that helps :)
3 0
3 years ago
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Hi there! Sorry to bother you, but can someone help me out with this?
Rudik [331]

Problem 6

<h3>Answer: A) Conjecture</h3>

Explanation:

We can rule out choices B through D because they are valid items to use in any proof. A definition is a statement (or set of statements) set up in a logical fashion that is very clear and unambiguous. This means there cannot be any contradiction to the definition. An example of a definition is a line is defined by 2 points (aka a line goes through 2 points).

A postulate is a term that refers to a basic concept that doesn't need much proof to see why it's true. An example would be the segment addition postulate which says we can break up a segment into smaller pieces only to glue those pieces back together and get the original segment back.

A theorem is more rigorous involving items B and C to make a chain of statements leading from a hypothesis to a conclusion. You usually would see theorems in the form "if this, then that". Where "this" and "that" are logical statements of some kind. One theorem example is the SSS congruence theorem that says "if two triangles have three pairs of congruent corresponding sides, then the triangles are congruent". Chaining previously proven/established theorems is often done to form new theorems. So math builds on itself.

A conjecture is basically a guess. You cannot just blindly guess and have it be valid in a proof. You can have a hypothesis and have it lead to a conclusion (whether true or false) but simply blindly guessing isn't going to cut it. So that's why conjectures aren't a good idea in a proof.

==========================================================

Problem 7

<h3>Answer: Choice A) A theorem does not require proof</h3>

Explanation:

As mentioned in the section above (paragraph 3), a theorem does require proof. It's like having a friend come up to you and make a claim, only to not back it up at all. Do you trust your friend? What if they might be lying? Now consider that instead of a friend, but now it's some random stranger you just met.

Of course, they may not realize they are lying but it's always a good idea to verify any claim no matter how trivial. Math tries to be as impartial as possible to have every theorem require proof. Some proofs are a few lines long (we consider these trivial) while others take up many pages, if not an entire book, depending on the complexity of the theorem.

So that's why we can rule out choice B since it's a true statement. Choices C and D sort of repeat the ideas mentioned, just phrased in different ways. As mentioned earlier, a theorem is built from fundamental building blocks of various definitions and postulates and theorems. The term "axiom" is more or less the same as "postulate" (though with slight differences).

If you wanted to go for a statement that doesn't require proof, then you'd go for an axiom or postulate. Another example of such would be something like "if two straight lines intersect, then they intersect at exactly one point".

5 0
2 years ago
Factors of polynomial 3xsquare +x-4
Dennis_Churaev [7]

Answer:

(3x + 4)(x - 1)

Step-by-step explanation:

3x^2 + x - 4

use middle term break method

we need two number which gives 12 when multiplied and 1 when subtracted

3x^2 + (4 - 3)x - 4

3x^2 + 4x - 3x - 4

x(3x + 4) -1(3x + 4)

(3x + 4)(x - 1)

4 0
2 years ago
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