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masadaoj@gmail.com:
a cone circumscribes a sphere and has its slant height equal to the diameter of its base. show that the volume of the cone formed, if a plane is passed through the circle of contact, is 9/32 the volume of the sphere.

Now, that was different.
What you are looking at is the cross section of the cone. From the bottom to the top. My presentation could do with some improvement. Sorry. Hopefully you will be able to work out what I have done and why I have done it.

140311 Circumscribed sphere.JPG

MelodyMar 11, 2014

+6252

Quote:
How do you rotate 90 degrees around the point (1,0)

What you need to do is

a) translate your point so that (1,0) becomes it's new (0,0)
b) rotate it by multiplying it by the appropriate rotation matrix
c) translating it back to the original coordinate system

and your final answer is

RomMar 11, 2014

+33666

I like Serena:
I suspect that to the nearest hundredth was intended, which would then be 0.62.

Yes, that makes a lot more sense!

AlanMar 11, 2014

+6252

Quote:
There are two trains on a 2700km train track at any time. The train coming from point A is moving towards point B at 100km a hour, and the train coming from point B to point is moving at 80km an hour. Where will these trains meet?

Let A be travelling in the positive direction.

A's velocity is 100 km/hr

B's velocity is -80 km/hr

Their relative velocity is (100-(-80)) = 180 km/hr

They have 2700 km to cover at this speed

T = D/R = 2700/180 hr = 15 hrs.

In 15 hrs train A move 15 * 100 km = 1500 km

So the two trains will meet 1500 km from point A.

RomMar 11, 2014

371.25

GuestMar 11, 2014

+118725

Chubathtut:
-8/x=72

x/-8 = 1/72

x = 1/72 *(-8)

x = -1/9

MelodyMar 11, 2014

+6252

Quote:
Preliminary data analyses indicate that you can reasonably apply the z-interval procedure. Find a 90% confidence interval for the mean number of tongue flicks per 20 minutes for all juvenile common lizards. Assume a population standard deviation of 190.0. Note: The sum of the data is 8891. The mean is 523
Confidence interval is?:

first off

if the mean is 523, and the sum is 8891 then N = 8891/523 = 17

so we have to adjust the population standard deviation appropriately.

sigma' = sigma / sqrt(17) = 190 / sqrt(17) = 46.1

now for a 90% confidence interval we have tails of 5% each, i.e. (100-90)/2 = 5

so we hit the table and find the z-value for 0.05

we find it is z = -1.64485

so our confidence interval is [523 - 1.64485 * 46.1, 523 + 1.64485 * 46.1] = [447.2, 598.8]

RomMar 11, 2014

+118725

Guest:
what is a polynomial

Take a look here

http://www.mathsisfun.com/algebra/polynomials.html

MelodyMar 11, 2014

+118725

Guest:
What does "log" mean on a calculator?

A log is a power (exponent)

so the log ₁₀100 =2 ( You say this as the log of 100 base 10 is 2)

This is because 100=10 ²

try typing in
log1000=

You will get 3 because your calc assumes you are talking base 10 and

1000=10 ³

MelodyMar 11, 2014

+118725

suesalgebra:
can you help me with a given number in scientific notation?

Yes. What is the number?

MelodyMar 11, 2014

+118725

Guest:
a fish swims 2/9 km every 9 minutes.how many kilometers will it go in 1 hour

2/9 km in 9 minutes

2/81 km in 1 minute

120/81 k in 1 hour

120/81

Approx 1.48km in an hour.

MelodyMar 11, 2014

+118725

Guest:
Tuition at CSUB is $5472 per year. suppose you attend 4 years and take out a loan to pay for
90% of the total tuition. To keep things simple we’ll assume that no interest accrues until you begin making payments. If you have an annual interest rate of 3.86% and pay off the loan in 10 years. What will be the total cost of this loan? How much of the total cost is interest?

loan = 5472*4*0.9 = $19,699.20

5472*4*0.9 =

It would depend on how often you are making the repayments. Let's assume you are making the repayments monthly.
This is a present value of an ordinary annuity question.
Present value of an ordinary annuity.JPG

PV = present value = $19699.20
C = monthly payment
i = interest rate per compounding period = 0.0386/12 = 0.003216666666
n = 12*10 = 120 months

19699.20 = C ((1-(1.00321666666666^-120))/0.0032166666666)

C = 19699.20 / ((1-(1.00321666666666^-120))/0.0032166666666)

19699.20/((1-(1.00321666666666^-120))/0.0032166666666)

So the monthly payment will be $198.14

Total repaid over 10 years = 198.14*120

198.14*120

Interest = 23776.80-19699.20

23776.80-19699.20

[size=150]Total Interest = $4077.60[/size] That is assuming that I haven't made any stupid mistakes.

MelodyMar 11, 2014

+118725

Sneakerheadinthebay:
How much do ds concord 11s cost?

I do not know. It is a mystery to me. Why don't you try googling it?

https://www.google.com.au/search?q=concord+11&oq=concord+11&aqs=chrome..69i57.4734j0j8&sourceid=chrome&espv=210&es_sm=122&ie=UTF-8

MelodyMar 11, 2014

+118725

chitara:
an elevator building code reqiures at least 2.2 square ft per person the depth of an elevator box is 7 ft how wode must the elevator be to letgally accommodate 15 people round answer to nearest tenth

Let the width be x feet.

the floor area is 7x square feet

the equation that you must solve is

7x / 2.2 = 15

MelodyMar 11, 2014

+135

I suspect that to the nearest hundredth was intended, which would then be 0.62.

I like SerenaMar 11, 2014

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