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I've always had an opinion that conceptual Physics (and even advanced Mathematics) should be introduced at the primary school level.   It's just amazing that when I'm beginning to draw an airplane for an example problem explaining vectors, my 12 year old student goes off on a tangent when she explains in laymen's terms - Bernoulli's Principle.   I probably should've... read more

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given (a,b) = (2/5,5/8)   c = SQRT[(2/5)2+ (5/8)2]   Sin = (5/8)/SQRT[4/25+25/64]   Cos = (2/5)/SQRT[4/25+25/64]   Tan = (5/8)/(2/5)= 25/16   Csc = 1/Sin = SQRT[4/25+25/64]/(5/8)   Sec = 1/Cos = SQRT[4/25+25/64]/(2/5)   Cot...

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9h^-2*5h^10 (answer)

The Ruie is when you have two similar numbers (same base), each raised to a power, the product of these (base) numbers raised to their power is the base raised to the sum of e powers.   i.e.  (ax)*(ay) = a(x+y)    

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solving for x (answer)

9c - 4x = 7   9c -4x +4x = 7 + 4x => 9c = 7 + 4x   9c -7 = 7 + 4x -7 => 9c - 7 = 4x   (1/4)(9c - 7) = (1/4)*4x => x = (9c-7)/4

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If you mean (3/5)^x = 2^(1-x). Then take the natural log of both sides.   Rule: if y = ax, then  ln(y) = x ln(a)   x ln(3/5) = (1-x) ln 2   x ln (3/5) = ln 2 - x ln 2   x (ln (3/5) + ln 2) = ln 2   x = ln 2 / [ln (3/5) +...

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Sum of the forces in the vertical direction Fy = FN + (-mg) = ma   (a) At rest, ma= 0. Scale reading is equal to FN and is equal to (mg) FN = 55kg *(9.8m/s) = 539 N = 121 lbs   (b) at a=1.5m/s2,  FN = mg + ma = (55kg)(9.8m/s2) + (55kg)(1...

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The key word is "of" which should tell you to multiply   so half of 2/3 is    (1/2) * (2/3) = 2/6 = 1/3   essentially you're right when you say you're dividing by 2 because you're multiplying by 1/2

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45 - 50 - (-12)    -(-) is the same as -1*(-1). So multiply first.   = 45 - 50 + 12     To avoid confusion in the Order of operation:   45 - 50 + 12   = 45 + (-50) + 12   = 7  ...

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