thegenuwineone

A balloon uses hot air to provide its lifting capacity. Prior to its release, it is tethered to the ground by a steel cable. If the gondola, weights, passengers, and material weigh 200lb, determine the tension in the cable when the balloon is inflated as a sphere having a diameter of 60ft. Assume that the hot air has a specific weight of 0.040 lb/ft^3 and ambient air has a specific weight of 0.070 lb/ft^3.

So far I have...

V = (4/3)*pi*r^3 = (4/3)*pi*(30^3) = 113097.3355ft^3

Fb = buoyant force = specific weight (hot air) * V = 113097.3355ft^3 * 0.040lb/ft^3 = 4523.893lb

So would tension not simply be equal to buoyant force - weight of balloon?

4523.893 - 2000 = 2523.893 lb upwards force = tension

Thank you in advance for any help.

i know logically that the solution is x < -4 and x > 7.

The problem is

(x-7)/(x+4)>0

I know you set each set greater than 0

(x-7)>0 which is where I get x>7

but my issue is how to get the sign to flip with this...

1/(x+4)>0

I know you have to divide or multiply by -1 to flip the sign but I'm hung up on the process.

Any help would be greatly appreciated

Thanks in advance

I have a 2000 ford focus zx3 with about 160k miles. It is an automatic and has the zetec motor in it. I have replaced the timing belt within the last 20k miles. It had been running fine up until about three weeks ago. I had to leave the car sitting for about two months because of snow and, with the chaotic life I live, was unable to start it and let it run like I should have. It began to idle rough when I started it after and I added some gas treatment to the tank. This did not cure the problem. I was then removing and checking the spark plugs to make sure they looked ok and noticed two had some oil on them around the threads. Not sure if that is awful or could be the cause of my misfire but I know it's not normal. I drove the car on a trip that was about 50miles one way and as I returned the check engine light came on. I went to Advance Auto and they ran the OBDII and found the code to be the EGR valve. I went home to do some research and then walked out to find the EGR on my car. As I was looking at the EGR I saw the DPFE sensor had melted. I have now replaced the DPFE but still have a misfire when the car is in gear. Also when the car is under stress (going uphill, under hard acceleration) it seems like the car is going to stall out or comes very close to stalling and creeps very slowly up the hill. I was wondering where I should go from here? I am in the process of trying to sell the car and don't want to dump a lot of money into the car but want to get it running correctly to sell it. Please help me out if you have any suggestions. Thank you in advance.

Let L1 be the line parametrized by r1(t) = <t+1,2t-1,-t+2> and L2 be the line parametrized by r2(t)=<2t+6,-t-1,-2t-3>. Determine if L1 and L2 are the same, parallel, intersecting, or skew. I set x1=x2,y1=y2, and z1=z2 and the t does not equal ct so they are not parallel or the same line.

I then changed the parameters of L2 from t to s and set the components equal.

2s+6=t+1

t=2s+5

then plugged back into the equations.

I got 2s+5,4s+9,-2s-3=2s+6,-s-1,-2s-3

the z terms are the same so does that mean they intersect at some point?

I put this on a test and it was counted as incorrect and I was wondering how to correct it. Thank you in advance.

consider the curve r(t)=<5sin(t),4cos(t),3cos(t)> where 0<t<2*pi.

Find a formula for this curve's arc length function: s(t). Also, compute the total arc length.

Reparameterize this curve with respect to arc length (find r(s)) Don't forget to specify the range for the arc length parameter: ?a?<s<?b?.

I am completely lost. If someone could step me through at least the first part I would greatly appreciate it. Thanks in advance.

I heard it today on the radio....it's a country song and the lyrics i can remember are something along the lines of "i cross my heart, she doesn't cross my mind". that's not it exactly because i have tried to google it. It talks about the guy being with a new girl and him not thinking about his ex. It is really bothering me. Thanks

I would assume that the truck will be filled to level with the bed. I am new to using a wood stove so i was wondering if 100 dollars is a good price for this load? thank you in advance

Explain how to develop the formula for the component of the vector v in the direction of the vector w.

Explain how to develop the formula for the vector projection of the vector v onto the vector w.

Explain how to develop the vector (or standard) equation of a plane.

Explain how to develop a formula for the distance between two parallel planes.

Using the limit definition of the derivative explain why P'(t0) is tangent to p(t) at the point p(t0)

Explain how to develop the formula for the arclength of f(t) from t=a to t=b.

what is wrong with these statements? if the lines L1 and L2 are both perpendicular to the line L3, then L1 must be parallel to L2. there always exists a unique plane passing through a given point and a given line.

find a value for the parameter (a) that makes the value of the improper integral less than 10^-5.

int[xe^(-x^2)dx] with limits from (a) to infinity

i don't even know where to begin so any help would be greatly appreciated thank you in advance

I am a physics major and it has been forever since I've had a problem like this and I feel that I am over-thinking it. I just need someone to help me out really quick.

A 10kg box is being pulled to the right with a force of 12N and a constant velocity of 2 m/s. What is the force of friction?

Thank you in advance for any help.

im horribly stuck and just need help getting started thx in advance

integral(sqrt(2-3t^2))

i dont know how to set up my triangle so that i can get all of my necessary parts to solve the integral. Any help is greatly appreciated. Thank you.

the integral I'm having trouble with is

int((x)(sqrt(2-x))dx)

i cant get started on it. i have tried u-sub. I have also tried the reverse product rule thing. I just can't get going. Can someone get me started? easy 10 points if you can. Thank you in advance.

I have tried everything from doing it straight up, to expanding, to u-substitution and can't figure this one out. Any help would be greatly appreciated. Thank you in advance.

thank you in advance for any help

the problem is

int{[(3-x)^2]/x}

i have tried several different methods and can't get a final answer...

Any help would be greatly appreciated

int=integral

Thank you in advance

me and my gf of 4years broke up saturday...we had been fighting a lot and she has been being very controlling about everything. so i told her it would be best if we took a break to gain our bearings so that nothing bad would happen. she had even mentioned about a week ago that she wanted to take a break. so saturday night i said i think we needed a break...she then proceeded to tell me she doesn't take breaks and then broke up with me. how messed up is that? so now im single...in shock...and honestly kind of lost b/c all my friends were her friends and now I find out they were mainly my friends b/c i was her bf...all i can say about my current situation is FML. any input would be greatly appreciated thank you.

I am applying for a job and was needing a little help with the conceptual questions at the end...I am just looking for some suggestions and any input would be greatly appreciated. Thank you in advance

Which do you consider more important as far as a wireless center is concerned - courteous, prompt service, or a quality product?

What do you consider to be the most important qualifications of a Wireless Center employee?

You are working alone and your shift is due to be over at 4 p.m. The individual who is scheduled to begin working at 3 p.m. does not show up. What do you do?

After you cash out your drawer and prepare your deposit you are short $16.05. What would you do?

How important is a clean, well stocked store?

How important are first impressions?

thank you again and any input on any one single question would be greatly appreciated...I just REALLY need this job...thanks again

The average lifetime of a muon is 2.2 microsec. What is the average distance the muon would travel in free space before decaying according to a stationary observer watching the muon travel with a speed of (.60c).

thank you in advance for any help.