Welcome to the forum. What features does the graph y = sin(x) have? How do they compare to the graphs y = 2sin(x) and y = 3sin(x)?

]]>Thank you for your cooperation. If you could delete this post as well that would be awesome!

Thank you for all the help,

Kayla

]]>I'd appreciate it if you could delete this post as well!

Thank you again,

Kayla

]]>Thanks for all the help, but if you could take down this post as well as the others I'd appreciate it!

Thanks,

Kayla

]]>Could you delete this post as well?

Thank you!

Kayla

]]>Again I would greatly appreciate if you could take down this post as well. My school and I were very pleased that you took down the other post, so thank you!

Kayla

]]>For (b), I think the answer is all nonnegative integers. Clearly there are infinite geometric sequences with no integers, e.g.

If *r* = 1, add 1 as the first term to the above sequence.

If *r* > 1, then

is an infinite geometric sequence (common ratio 1/*r*) with exactly *r* integer terms (the first *r* of them).

I have only 'scratched the surface' of this topic. You could start by looking at this article:

https://en.wikipedia.org/wiki/Key_(cryptography)

Bob

]]>Welcome to the forum.

Sounds to me like you also need a general way to do this for any regular polygon.

Here's a diagram for a heptagon (7 sides). You can easily adapt it for n sides.

(1) Provided the polygon is regular you can calculate the central angle (AOB). Divide 360 by 7 ( or n).

(2) Half this to get AOH and then subtract from 90 to get OAH.

(3) In the green triangle AOH, AH is adjacent to angle OAH and OH is opposite so OH = AH x tan(OAH)

(4) The yellow area is then 1/2 AB x OH

(5) Multiply by 7 (n) to get the area of the whole polygon.

Hope that is useful for you,

Bob

]]>First you could calculate the number of arrangements where there is no restriction.

Then imagine EA locked together as a single 'letter' and calculate how many ways you can arrange these five letters. Do a similar thing with AE etc*. Then subtract.

Bob

*You'll need to take care to avoid repeats caused by all three vowels together.

]]>paracetamol es lo mismo que acetaminofen?

Hi,

Welcome to the forum, jepa!

Query from jepa: Paracetamol is the same as acetaminophen?

Yes.

*Paracetamol*

**Paracetamol**, also known as **acetaminophen** or APAP, is a medicine used to treat pain and fever. It is typically used for mild to moderate pain relief. Evidence for its use to relieve fever in children is mixed. It is often sold in combination with other medications, such as in many cold medications. In combination with opioid pain medication, paracetamol is also used for severe pain such as cancer pain and pain after surgery. It is typically used either by mouth or rectally but is also available intravenously. Effects last between two and four hours.

So let's say the ray is ry_AB and C is a point not on AB so that <BAC is the angle.

Extend the ray to make an line, extending beyond point A. Then we have a line and a point not on the line. This satisfies "a line and a point not lying on the line" so we have a plane.

Q14 is more problematic. Let's call the lines l, m and n. Since we have l and m parallel this satisfies "two lines which intersect in a single point or are parallel"

The reason I think this problem is problematic is that the third line, n, may or may not be in the same plane as the other two. Does this matter? Strictly, no. We can say yes I have a plane, in fact I have three so I certainly have one. Since we are 'in court' it seems odd not to reveal the whole truth and say we have one or three planes. That's why I'm curious about the course you are doing. There are two on-line courses that I know of. Sometimes they set silly questions and I wondered if I could add this question to the list. Ha ha!

Bob

]]>If someone makes a statement and you can see it is untrue because you can think of an example that proves it's wrong this example is called a 'counter example'. In English we could say this example runs counter to the statement, meaning it is against the statement.

eg. Statement: "All swans are white" I go to a zoo and see an Australian black swan. It is not white. This swan is a counter example to the statement.

Bob

]]>Two dice are thrown. The probability of sum less than 8 are

1,1; 1,2; 2,1; 2,2; 3,1; 1,3; 3,2; 2,3; 3,3; 4,1; 1,4; 4,2; 2,4; 4,3; 3,4.

Sample space : 15

Probability of being one of them is 4 : 1,3; 3,1; 2,2.

Probability of the given event : 3/15 = 1/5.

It hope it helps!

]]>