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a) 50 pens total. 2 + 7 = 9. Number of pens is done in 9s. 50/9 = 5r5, so multiple of 5. Then 25 + 75 pens. 10 red and 35 yellow, 45 pens b) 18 red / 2 = [9]r0 31 yellow ...
1/(1+2x) dx = 4e^(-2t) dt Integrate both sides: ln[2/(1+2x)] = -8e^(-2t) + c input x = 1/2, t = 0: ln(2/2) = -8*(1) + c ln 1 = 0, so c = 8ln[2/1+2x] = 8[1-e^(-2t)]
Double angle formula:Sin(2x) = 2sin(x)*cos(x)==> 2sin(x)*cos(x) = (1-sin(x))*cos(x) (2sin(x)-1+sin(x))*cos(x) = 0(3sin(x) - 1)*cos(x) = 0 i) cos(x) = 0, ii) 3sin(x) = 1 ==> sin(x) = 1/3 ...
9x - 2x> 3-17x > 2x > 2/7
You know that y is proportional to x2, so let y=kx2 . You also know that y=75 and x=5. Substitute y=75 and x=5 into the equation y=kx2 . Therefore: 75=k multiplied by 5AGAnswered by Anna G. • Maths tutor3047 Views
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