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Convert 1.5555.....to a fraction


Explain the statement, ‘’ An expression is just a number, a variable but an equation is formed by a connecting match sign.’’


We consider the sequence of real numbers (Un) defined on N by Uo = -1, U1 = 1/2 and for every n E N, U(n+2) = U(n+1) - 1/4 Un. Where N reprents the set of natural numbers. Vn = U(n+1) - (1/2)Un.
We define the sequence (Wn) by for every n E N, (Wn) = Un / Vn.
(i) Deduce an expression for Un in terms of n.
(ii) For every natural number n, we set Sn = Uo + U1 + U2 + ...+ Un. Show by induction that for every n E N, Sn = 2 - (2n + 3)/ 2^n.
A particle P, of mass m, is projected vertically upwards from a point O with speed 2g/k m/s in a medium whose resistance to motion is of magnitude kv per unit mass, where v is the speed of P and k a positive contant.
(i) Show that v(dv/dx) = -g - kv
The particle P attains the highest point H of its path.
(ii) Show further that OH = g/k^2 (2 - In3)metres
Given that P reaches another point M with speed g/2k m/s as it traces its path back to O, the point of projection,
(iii) Prove that HM = g/k^2 ( In2 - 1/2)

Aaron saw it was 86° Fahrenheit,F, in Australia in January. Aaron used the formula C=59(F−32)

C=59(F−32)to find the temperature in degrees Celsius,C. What temperature, in degrees Celsius, did Aaron find?

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What is 2p(x)+m(x)


your phone is old and only has enough storage to hold 70 minutes music. so far you have added 25 minutes of music to the phone. you estimated that each song last four minute. what are the possible numbers of additional songs that you can add to your phone?


Write (–1, –2), y = –3x + 5 in slope intercept form


Bob can load his truck in 24 min. It takes his brother John 40 min to load the truck. How long it take them to do the job together?


solve this problem using synthetic substitution f(x)=x^3+2x^2-3x+1


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