lmao

I am currently in college and I have a mentor at a company that I am interested in working for after graduating. I am going to send him an e-mail to update him on my endeavors and keep in touch. He told me the last time we talked that his wife was having a baby in August. I want to mention something about it since he told me about it and it's probably the biggest thing in his life right now. I don't know how to say it professionally though. I also don't know the exact due date, so she may have not even had the baby yet.

I have never had a baby or really been close to someone who had a baby, so I don't know what is polite to say to someone you don't know very well about their baby. Does something like this sound ok?

"I hope everything is going well with the new addition to your family!"

Or should I say something like "If I recall correctly, you and your wife were going to have a baby in August...."

I don't know, I need help!

Thank you in advance!

Will there be a force of attraction or repulsion? Does this depend if the surface is a conductor or insulator? And will there be an induced dipole type of thing?

Thanks!

I backed into a car parked on the side of a street while backing out of a driveway. My car had no damage on it but their car had a small dent. So, trying to be a good person, I left a note on the car with my name and number. The car owner called me about 24 hours later and I told them I would pay for the car to be fixed and offered my insurance information. Then they told me they were going to file a police report, which I thought was a little extreme but I was fine with it. Then the police officer came, I was very friendly and cooperative and apologetic, and he wrote me a $154 ticket.

I think this is completely ridiculous considering the fact that I could have just not left a note and I wouldn't have to pay anything. And the car owner didn't have to call the police. I really don't want the points on my license or the insurance increase.

Pretty much everything I can find online about contesting tickets in court is based around forcing the officer to prove your guilt, so if there is no proof you get off. But I straight out admitted to doing it. They didn't read me my rights or anything because I didn't do anything wrong. It was an honest mistake. I am paying for the damage. So what can I do?

I googled it but didn't find anything so I thought this would be quicker... Is there a way to make an iPhone 3 screen go black without using the button on the top? That button broke on my phone and it kills the battery to just sit there with the screen on until it goes off automatically. The lowest amount of time to have it on before it goes off automatically is 1 minute. Thank you!

Also, if not, how much do you think it would cost to get this button fixed if it is even possible?

My boyfriend really wants me to have sex with him and I'm scared he'll break up with me if I don't. We've only been dating for a couple weeks. I don't want to do it because I don't want to regret it later, but if I don't have sex with him and he breaks up with me, what if I never find anyone else? Have you ever regretted NOT sleeping with someone? Thank you! (I'm 18 by the way, and a virgin.)

I'm doing the integral of 55arctan(1/x) dx and got to this little snag that seems like I should know how to do it but I can't think of how. Maybe because it's 2:30 am? Anyway, thank you!

I have three sheets of paper that I need to scan and upload as an attachment, preferably as one pdf file with three pages. Is this possible? How do I do this? What do I select to scan it as? Thanks!

(This is for a class assignment in case your wondering :)

Thanks for your help!

I've tried it twice and gotten two different answers :/ Thanks in advance!

A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the sheet on each side through an angle θ. How should θ be chosen so that the gutter will carry the maximum amount of water?

This one I thought I knew how to do. I got pi the first time and pi/2 the second time and both are wrong. I really don't know what I am doing wrong. I am trying to maximize the area of the trapezoid, so I did A=(b1+b2)/2, using 10 for b1 and 20sin(90-theta)+10 for b2. Then I took the derivative and set it equal to zero.

Thanks in advance!

A manufacturer has been selling 1000 television sets a week at $300 each. A market survey indicates that for each $10 rebate offered to the buyer, the number of sets sold will increase by 100 per week. Round your answers to the nearest dollar.

(a) Find the demand function (price as a function of units sold).

p(x) =

(b) How large a rebate should the company offer the buyer in order to maximize its revenue?

$

(c) If the company experiences a cost of C(x) = 80,000 + 120x, how should the manufacturer set the size of the rebate in order to maximize its profit?

$

I cannot figure out how to do this problem and I've been working on it for a really long time. Please help if you can, I will really appreciate it!

For the first one I got 10x-9700 but after working on the problem more I am pretty sure that's wrong.

Thanks!

A manufacturer has been selling 1000 television sets a week at $300 each. A market survey indicates that for each $10 rebate offered to the buyer, the number of sets sold will increase by 100 per week. Round your answers to the nearest dollar.

(a) Find the demand function (price as a function of units sold).

So I need to find p(x) when p(x)= price and x=units sold. How do I do this?

Thanks!

A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the sheet on each side through an angle θ. How should θ be chosen so that the gutter will carry the maximum amount of water?

Should I use the area of a trapezoid?

Thanks!

A man launches his boat from point A on a bank of a straight river, 1 km wide, and wants to reach point B, 1 km downstream on the opposite bank, as quickly as possible (see the figure below). He could row his boat directly across the river to point C and then run to B, or he could row directly to B, or he could row to some point D between C and B and then run to B. If he can row 6 km/h and run 8 km/h, where should he land to reach B as soon as possible? (We assume that the speed of the water is negligible compared to the speed at which the man rows.)

I did the problem and got that he should land 1.13389 km from point C, but it's only 1 km between point C and B. Help, please? :(

Thanks in advance!

The leg lengths are 6 cm and 4 cm. How would I go about finding this? Thanks in advance!

A man launches his boat from point A on a bank of a straight river, 1 km wide, and wants to reach point B, 1 km downstream on the opposite bank, as quickly as possible (see the figure below). He could row his boat directly across the river to point C and then run to B, or he could row directly to B, or he could row to some point D between C and B and then run to B. If he can row 6 km/h and run 8 km/h, where should he land to reach B as soon as possible? (We assume that the speed of the water is negligible compared to the speed at which the man rows.)

I did the problem and got that he should land 1.13389 km from point C, but it's only 1 km between point C and B. Help, please? :(

Thanks in advance!

I've done this problem several times on different occasions and gotten the same answer every time... and it's wrong. I seriously cannot figure out what I'm doing wrong. Here's the answer I'm getting:[ -2(sqrt(1-x^2))/x]+5+4(sqrt(3/4)).

Please help :(

Thanks!

At the scene of an accident, an investigator observes a skid mark of 400 feet after the point when the brakes were fully applied. If the car is known to decelerate at 50 ft/s^2, given the conditions at the scene, how fast was it traveling when the brakes were fully applied.

I can't figure out what to do with the 400 feet. I'm pretty sure I need to do a(t)=-50 and integrate twice to get s(t) and then plug in 0, but where does the 400 come in? Is it one of the +C's?

Thanks!

(a) Find the distance (in meters) of the stone above ground level at time t.

I'm pretty sure I have to write the acceleration and than integrate twice to get h(t), but how do I find a(t)? Is iT just 9.8, so v(t) would be 9.8x? And then h(t)=(9.8x^2)/2. But what about the +C's? Do I add 700 to the h(t)? But then it would never reach the ground...

Thanks in advance!

We didn't do an example like this in class, and I can't figure it out. Any helpful tips are much appreciated!