All Answers 352927 Answers

The speed of light is about 3x10⁸ m/s, that's a standard physical constant you will eventually have memorized.

600 THz is 600 x10¹² s^-1 , that came with the problem.

\(T =\dfrac{\sqrt{x^2+63^2}}{\sqrt{2}} + \dfrac{\sqrt{x^2 + (74-x)^2}}{2} s\)

What class is this?  Are you allowed to use calculus to minimize this?

If not there's a ton of messy algebra to convert T into parabolic form and choose the vertex as the minimum.

You use the word geometry.  Are you supposed to come up with a geometric solution?

Where did you get all the numbers? I asked the question so I could understand it, not just get the answer.

\(\dfrac 4 3 \pi \left(\dfrac D 2\right)^3 = 2V=\dfrac 8 3 \pi \left(\dfrac{9}{2}\right)^3\\ \left(\dfrac D 2\right)^3 = 2\left(\dfrac 9 2 \right)^3 = \left(\sqrt[3]{2}~\dfrac 9 2 \right)^3\\ D = 9\sqrt[3]{2}\\ 9+2=11 \)

\(c = \lambda \nu\\ 3\times 10^8 m/s = \lambda m\cdot 600\times 10^{12}s^{-1}\\ \lambda = \dfrac{3\times 10^8 m/s}{6\times 10^{14}s^{-1}}= \dfrac 1 2 \times 10^{-6}m=500nm\)

\(u=\dfrac{4x-16}{3x-4}\\ u^2 + u -12=0\\ (u+4)(u-3) = 0\\ u=-4,3\\ \dfrac{4x-16}{3x-4}=-4 \Rightarrow x=2\\ \dfrac{4x-16}{3x-4}=3 \Rightarrow x=-\dfrac 4 5\)

\(2 \text{ is the greatest possible solution}\)

\(fv=5500(1+0.45)^{1.5} = \$5537.17\)

\(9h + 6.5d = 75\\ 18h+13d=150\\ \text{Using the Euclidean algorithm we obtain}\\ 7(13)-5(18)=1\\ 1050(13) - 750(18) = 150\\ \text{and finally}\\ 6(13)+4(18) = 150\\ 6(6.50)+4(9)=75\\ \text{6 hot dogs and 4 hamburgers}\)

Philip = P

Brian = B

1/P + 1/B =1 / 6

1/18 + 1/B = 1 / 6

1/B = 1 / 6 - 1 / 18

B = 9 - minutes for Brian to aweep the porch.

This is the formula you would use to calculate the monthly payment:
-P*[(1-(1+R)^-N)/(R)]+FV*(1+(R))^-N-PV=0, where P=PMT, R=Interest Rate, N=number of periods, FV=Future Value, PV=Present Value.
-P*[(1-(1+0.0246/12)^-60)/(0.0246/12)]+28560*(1+(0.0246/12))^-60-3427.20=0, solve for P
Solve for P:
21830.55 - 56.4024 P = 0  subtract 21830.55 from both sides

-56.4024P = - 21830.55    divide both sides by - 56.4024

P = Payment = - 21830.55 / -56.4024

Payment = $387.05 - Monthly deposit that must be made for 60 months.

45 km / 75 km/h   =             hours

Sustitute 'x-4'    in for 'x' in the equation    x^2+2x     and solve

WHAT are the numbers represented by    1-.32        is that a temp measurement?   Is it in Kelvin?

y=2x−3
y=−x+15

2x−3=−x+15
3x=18
x=6

y=−x+15=−6+15=9
(6,9)

Your welcome

That's what I get too, is it right, ant101?

Oh yea. Thanks Melody!

Look at the  graph here :

https://www.desmos.com/calculator/p2grow8ajp

The base of the  triangle  =  [  2.5 -  (-4)  ] =   6.5   units

The height of the triangle is   .3.6  units

So....the area is

(1/2) (base) ( height)=   

(1/2) ( 6.5) ( 3.6) =  

11.7  units^2

First one

[ first term  +  last term ] * number of terms   / 2

first term  = 3(1)   = 3

last term  = 3(5)   = 15

Sum    =   [ 3 + 15 ]  * (5)   / 2 =    18 * 5 / 2 =     45

Second one....     

first term  =  2(1)^2  - 4 =    -2

second term = 2(2)^2 - 4 = 4

third term = 2(3)^2 - 4 = 14

last term  =  2(4)^2 - 4=      28

Sum  =  44

I like you answer and your attitude Jeff,

Why would you downvote your own good answer?

You have not asked a question so we cannot help.

You have only complained about your teacher.

I do not like listening to kids complain about their teachers.

BUT if you have a question you can ask it, someone might be able to help you :)

A  is  correct

Circumference  =   2 pi * radius

11 pi  = 2 pi (radius)         [   divide out pi    ]

11 = 2 * radius                 [ divide  both sides  by  2

11/2  = radius  =    5.5

Area of  circle  =

pi * (radius)^2  =

pi (5.5)^ 2  =

[ 30.25 pi ]   ft^2   ≈  [ 95.03  ]  ft^2  

Thanks IamJeff

Cheating is a constant concern and a big problem on this forum.

For this reason it may be better to make people wait before they get an answer.

Plus

There is often no need to give the final answer.

What i had written was more than adequate. 

    EmeraldWonder was trying to be helpful but she did not add anything of value.  (Except cheat value)

   (She also gave an incorrect impressions - Multiplication is NOT done before divide, they are equally important)

If this is a test it should be timed shouldn't it?  Or even put up and taken down at set times?

So if our answers were delayed for an hour it should not be a problem???

I am nor very familiar with internet testing.

I expect past papers, which are just homework, might sometimes be presented like this??

It is concernng though.