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I am totally lost with this one... please explain if you know how to do it. Two 5000-kg freight cars roll toward one another (one at 1 m/s and the other at 2 m/s) on a level track. Thus before they collide one car's kinetic energy is 2500 J and the other's is 10,000 J. They collide and...

Thank you very very much! :smile:

Refraction of sound is a term that refers to the fact that... A. sound bounces off a smooth surface just as light bounces off a mirror. B. different parts of a wave front travel at different speeds. C. different frequencies of sound waves travel at different speeds. D. sound waves only...

I need help with this problem, i am totally lost. See attachment. Please explain.

Hi there, I have a multiple choice quiz that I completed for my physics class and I'm looking for confirmation on whether I'm correct or not. 1.The centre of mass of an object... A. Must always lie outside the object, at a point where there is no mass. B. May lie outside the object, at a...

Ohh, it increases right? So for question 1, The centre of mass of an object may lie outside the object, at a point where no mass is. Question 2: Consider a ball on the end of a string being whirled in a horizontal circle. The horizontal force acting on the ball points inwards, towards the...

I understand now, so the answer would thus be "B" because it sometimes can be outside of the objects mass? Are my other assumptions correct? Thank you very much for all your help Cryphonus :smile:

So based on the different experiments I did, I'm inclined to think that the answer for question #1 is C and the answer for question #2 is B and the answer for Question 3 is A. Are my assumptions correct?

I have 3 simple (for most people on this forum) multiple choice questions that I need help with. 1.The centre of mass of an object... A. Must always lie outside the object, at a point where there is no mass. B. May lie outside the object, at a point where no mass is. C. Must always lie...

Thanks so much, that's much more clear. So basically the answer for the first question is 63 J, the answer for the second is -63 J and the answer for the last one is 0?

Homework Statement - A book has a weight of 21N. It falls off the shelf on to the floor, 3 m below. The work done by the force of gravity is what? - A book has a weight of 21N. You pick it up off the floor, and return it to the shelf, 3 m above. The work done by the force of gravity is...

How many arrangements of the letters in the word mathematics begin with a vowel and end with a letter other than h? Please help!

Homework Statement I was giving a graph of a combined function and four different equations and I need to select 2 of the equations and whether the graph shown is of addition, subtraction, multiplication or division. F(X)= X and H(X) = COS X and the combined graph is F(X)*H(X). I need to...

Ok, so NO oblique asymptote, correct?

When a linear asymptote is not parallel to the x- or y-axis, it is called either an oblique asymptote or equivalently a slant asymptote. In the graph of X/Sin(X), there appears to be an asymptote at y=x

Thanks so much! Can you help me explain why there is an oblique asymptote?

0/Sin 0 = undefined. So basically, there's my answer. There is a hole at x=0. There is also an oblique asymptote of f(x)=x, correct?

Hi there, Quick question. For F(X)= X/Sin(X), is there a hole at X=0? Thanks.

I think I figured it out. Thanks for everyone's help. Thanks for the correction Mark44! :)

Ahhh, I think I get it now. I think the reason why the middle is the way it is is because that is where the rate of change in both functions is similar.

Well, isn't the reason why it shoots up to positive inifiniti near x=0 because it's 2^x divided by a really small X value from the f(x)=x curve? Like, when you divide a a number by a tiny number, it gives you a huge number, correct? And as for the other side of the curve, the 2^x function is...

Yeah, that part of the curve is all in QI because you can clearly see that both the end behaviours are going to positive infiniti. As for the second part, does that imply that there's at least one asymptote?

Yeah, sorry I got side tracked. I'm looking at the two parent functions and I can't figure out how to explain the new end behaviours of the curve in QI. :S

are you referring to the asymptote?

2^x would reach zero before x reaches negative infiniti, correct?

Zero, right?

Well, in QI, as x gets bigger, 2^x quickly gets closer toward infiniti. Similarly, f(x)=x also gets closer to infinite, but at a slower rate. In QIII, f(x)=x goes to negative infiniti.

Thanks a lot, that makes a lot more sense. Can you help me with the end behaviours questions?

In QI, the x and y values of g(x) and h(x) in the first quadrant are positive. The x and y values of h(x) in QIII are all negative, but g(x) never goes into QIII because of the asymptote. How do I explain that? lol.

Question: Consider the graph of f(x)=g(x)/h(x) where g(x) = 2^x and h(x)=x a) Explain why it makes sense that the graph is in only the 1st and 3rd quadrants b) Explain the behaviour of the curve in the first quadrant by making reference to the original functions. I am sooo bad at these...

Exactly, there are 12 of each kind and 10 cards are being dealt.

3-of-a-kind is like 3 Fours, 3 Fives, etc... I need help either finding the probability to getting 3-of-a-kind if 10 cards are dealt or AT LEAST 3-of-a-kind. I hope that clears it up.

What is the probability of... 1. Ten cards are dealt from a deck of 156 cards (3 standard 52 card decks) What is the probability of getting at LEAST 3-of-a-kind (up to 10-of-a-kind). My Attempt: 3. P(at least 3-of-a-kind) = 1 - P(10 different ranks) - P(9 different ranks) = 1 - [13C10 *...