Help Me Out With This Question

Please help me out with this question?

I would likely identify least with a presidential speech however the short stories may not do much for me either. A memoir is a very personal piece and would likely trigger my emotions whether I agree with the writer's feelings or not. You're going to have to read each piece and decide which one you can personally relate to. Everyone is different and everyone reacts differently to specific things. Read them and then ask yourself how you feel afterwards. What opinions do you have about statements made in the writings.

Example -

Statement - "America is the land of the free."

Opinion - "After reading this statement and forming a personal opinion, I have to disagree. America has several laws in place that vary by state. The state we live in does not permit the use of medical marijuana whereas Colorado does. Does this make Colorado the land of the free? My argument is based on state laws."

Statement - "My grandfather served in Vietnam."

Opinion - "It is interesting that the writer's...

Could someone help me out with this question?

A copper rod and a steel rod are heated. At 0◦C the copper rod has a length of LC, the steel one has a length of LS. When the rods are being heated or cooled, a difference of 3.99 cm is maintained between their lengths.
If αC = 1.7×10−5 (◦C)−1 and αS = 1.2 × 10−5 (◦C)−1 , find the value of LC .
Answer in units of cm.

Find the value of LS . Answer in units of cm.

Can someone help me out with this question:?

You point a tennis-ball serving machine straight up and put a piece of plastic wrap across the top of the barrel, placing a 10-g marble on top of the barrel. When a 58-g tennis ball in the machine is fired, it sends the marble into the air. The marble rises 220 m above the barrel mouth, and the tennis ball rises 59 m .

Help me out with this math question please it’s my last question and I have no idea what I’m doing. whoever helps me is greatly appreciated?

So think about it logically. You've two pens connected to each other. That means that there are three sides that are three units long (the pens are three times as long as wide), that's nine units. Then there are the end pieces, two for each pen, or a total of four. 4 + 9 = 13. 65 / 13 = 5. So each pen is 5 wide and 15 long.

Could someone please help me out with this physics question?

An automobile tire having a temperature of 6.4◦C (a cold tire on a cold day) is filled to a gauge pressure of 20 lb/in2.
What would be the gauge pressure in the tire when its temperature rises to 44◦C? For simplicity, assume that the volume of the tire remains constant, that the air does not leak out and that the atmospheric pressure re- mains constant at 14.7 lb/in2 .
Answer in units of lb/in2.

Can someone help me out with these trigonometry questions?

#15.. bare with me, it's kind of long.

I will use x instead of theta.

I'm going to use the following identities:
1. cos2x = 2cos^2x - 1 = cos^2x - sin^2x = 1 - 2sin^2x
2. sin2x = 2sinxcosx
3. cos(u + v) = cosucosv - sinusinv

cos3x = cos(2x + x) [let u = 2x and v = x]
= cos2x cosx - sin2x sinx [identity 3]
= cos2x cosx - (2sinx cosx)sinx [identity 2]
= (2cos^2x - 1)cosx - 2sin^2x cosx [identity 1]
= cosx [(2cos^2x -1) - (2sin^2x)] {factor out cosx}
= cosx (2cos^2x - 2sin^2x -1) [rearrange]
= cosx [2(cos^2x - sin^2x) - 1] {factor out the 2}
= cosx [2(2cos^2x -1) -1] {identity 1}
= cosx [(4cos^2x - 2) -1] {factor in the 2}
= cosx (4cos^2x -2 -1)
= cosx (4cos^2x -3)

now multiply the cosx and you get

4 cos^3x - 3 cosx

It's a lot of manipulation, but I tried to do it in as many steps possible to understand. Hope this helps!