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Let r and s be integers. Then ( 6^(r+s) x 12^(r-s) ) / ( 8^(r) x 9^(r+2s) ) is an integer when: (a) r+s <= 0, (b) s <= 0, (c) r <= 0, (d) r >= s.

First of all, an integer is a whole number, i.e. a not a fractional number, that can be positive, negative or zero. To find the range of values r and s for which the above fraction is an integer we can st...

NP
Answered by Nadia P. MAT tutor
14482 Views

How can I improve the sophistication of my writing and achieve an A or A*?

One of the most effective ways to improve the sophistication and quality of your writing to reach the higher grades is to utilise embedded quotations. Consider the following example:

Without em...

EB
4435 Views

How does a capacitor work and how do I treat it in a circuit?

for a capacitor the equations you need to know are:  Q=CV  V=Vin*e^(t/RC) and E=1/2QV (with Q=charge/columbs, C= capacitance/Farads, V=voltage/volts, R=resitance/ohms, Vin=initial voltage when discharging...

TM
Answered by Tom M. Physics tutor
2284 Views

A golf ball is hit from horizontal ground with speed 10 m/s at an angle of p degrees above the horizontal. The greatest height the golf ball reached above ground level is 1.22m. Model the golf ball as a particle and ignore air resistance. Find p.

Initial horizontal speed of particle = 10cos(p) m/s. Initial vertical speed of particle = 10sin(p) m/s. ('U' in suvat.) There are no forces other than gravity acting on the particle so the vertical accele...

SR
4271 Views

What is the decimal equivalent of the following sequence of bits, which represents an unsigned binary integer: 1101001. What is the decimal equivalent if the sequence in bits encodes a two’s complement binary integer.

1101001

Unsigned binary number means every bit represents a power of two. The sum of the powers present in the binary representation gives the number in decimal. 

We start from right to left...

AP
2236 Views

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