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See the correct answer here:  https://web2.0calc.com/questions/math_7954

The 200% part is unclear....it the minute hand was 100% of the hour hand length, then they would be the same length.....so...200% indicates that the minute hand is twice as long as the hour hand....

If so....then the minute hand   = 40mm

In one hour, the hour hand moves 30° 

So....the distance the tip travels is    (30/360)*2pi *20   ≈  10.471 mm

In one hour, the minute hand travels  360°

The distance its tip travels is   2pi (40)   ≈ 251.327 mm 

So.....the minute hands travels ≈  [ 251.327 - 10.471]  ≈ 240.86 mm farther

Please provide more information.

I am assuming that you want the distance of the hour and minute hands at 1 o'clock because there are different distances at a different time. Also, when the time goes from 6:00 to 7:00, the distance actually decreases. 

If the hour hand is 20mm, then the minute hand is 40mm. At 1:00, the angle formed from the hour and minute hands is 30 degrees. I think the triangle formed might be an isosceles triangle, but I am not 100% sure. If it is an isosceles triangle, then the degrees are 30, 30, and 120. 

For future reference to the triangle, the tip of the minute hand is point M, the tip of the hour hand is point H, and the center of the clock is point O.

Please tell me if my assumptions about the problem are correct or incorrect. I do not want to go too far if my explanation might not be suitable for this problem. 

- PM

I will attempt to answer this question using this online financial calculator: https://arachnoid.com/finance/
1- The first thing to do is to calculate the monthly payments on the original mortgage of $250,000 @ 6% over 30 years or 360 months =$1,498.88

2 - Will convert the $1,000 per year applied to the principal to 12 equivalent monthly payments, using this formula: PMT = FV*(((1 + R)^N - 1)^-1* R), which comes to =$81.07, which will add to the regular payment in (1) above and we get: $1,498.88 + $81.07 =$1,579.95. This is the payment that will be used to reduce the mortgage to its balance prior to its sale.

3 - Applying the above monthly payment of $1,579.95 for 10 years, or 120 months, brings the mortgage down to its current balance, prior to its sale, to: $195,928.01

4 - Now that we have 4 known variables on this mortgage, Its FV, PV, PMT, and N, we can solve for the 5th, namely the interest rate at which it was purchased - by plugging all of them into this consolidated TVM formula:
-PMT*[(1-(1+R)^-N)/(R)]+FV*(1+(R))^-N+PV=0

5 - The above formula is programmed into my computer, which has the Newton-Raphson iteration and interpolation formula programmed into it and can easily and rapidly arrive at the answer, which is =7.375% =7 3/8%.
AND THAT IS THE END!.

I guess you could also do this:

Take away kg from the numerator and denominator of \(a = \dfrac{(kg)m^{-1}}{(kg)m^{-2}}\) to become \(a = \dfrac{m^{-1}}{m^{-2}}\).

This equals \(a = {m^1}\) because \(m^{-1} / m^{-2} = m^{-1} \cdot m^{2} \Rightarrow m^1\).

- PM

Note to  PM

a = b/e

b = 1 kg m-1

e = 1 kg m-2 

what is a? including units

PM, your current answer is       \(a = {1 (kg^2) m^{1}}\)  

It is NOT correct.   Can you work out why?

I think [ABCD] means the area is 42 units^2.

1st question:

The first blank is the factored out form of \((x^2 - y^2)^2\), which is \(x^4 -2x^{2}y^2 + y^4\).

The second blank is achieved by combining like terms. \(2x^4 - 2x^{2}y^2 + 2y^2\).

The third blank is just factoring \(2x^4 - 2x^{2}y^2 + 2y^2\) into \(2(x^4 - x^{2}y^2 + y^2)\) by taking out \(2\). 

I solved the second one 1 day ago...

1) Distributive Prop

2) Division Prop of =

3) Multipliation Prop of =

Hope this helps,

- PM

I do not know if the variable m stands for meters or not. If it does, how can something be both kilograms and meters?

\(a = \dfrac{1 (kg) m^{-1}}{1 (kg) m^{-2}} \Rightarrow a = \dfrac{1 (kg) m^{-1}}{\dfrac{1}{1 (kg) m^{2}}}\). if we multiply the numerator and denominator \(1 (kg) m^{2}\)by , we have \(a = {1 (kg^2) m^{1}} \). You can adjust my answer according to your variables.

- PM

What is exp?

\((BP)(PC) - (AQ)(QC) = \boxed{21}\).

You are welcome. 

- PM

This pattern is a little difficult to understand because it is difficult to find a pattern.

We can restate the pattern to make it easier for us: 

1        2       5      10     17    26

3        4       7      12     18    28

6        8       9      14     21    30

11     13     15     16     23     32

18     20     22     24     25     34

27     29     31     33     35     36

On the first row, I see an additional change of 1, 3, 5, 7, and 9.

The second row has an additional change of 1, 3, 5, 6, and 10.

If we check the first column, the additional change is 2, 3, 5, 7, and 9.

Notice that the digit in the last column increases by 2 every column. 

The one directly above 39863 is C) 39466.

- PM

The zeroes are   x = - 3, x = - 2 and x = 1

Since   ( x - 1)  and (x + 3)   are both to the first power their zeroes  (1 and - 3) are passed through

Since (x + 2)   is to the 2nd power, the graph "bounces" off its zero of  -2