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Solve the equation 3^(2x+1)=1000

We can use logarithms with base 3 to solve this equation.2x+1=log 3 10002x=log 3 (1000)-1x=0.5(log 3 (1000)-1)x=2.64
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Answered by Samuel D. • Maths tutor
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The shape around the oxygen atom in butan-2-ol is non linear. Predict the shape and angle of the C-O-H bond giving explanations

This bond can be described as having a non-linear or bent geometry, with a bond angle of approximately 104.5 degrees. It has this angle because the oxygen atom has 2 lone pairs and 2 bonding pairs of electro...
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Answered by Samuel D. • Chemistry tutor
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Integrate 6/(e^x+2) between 1 and 0

By Trapezium Rule (with 5 segments)x 0 0.2 0.4 0.6 0.8 1y 2 1.8625 1.71830 1.56981 1.41994 1.27165≈1⁄2*(0.2) [2+1.27165+ 2( 1.8625 + 1.71830 + 1.56981 + 1.41994)]≈1⁄10 *16.41283 = 1.641By Substitution/ Parti...
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Answered by Christopher H. • Maths tutor
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"The UK's uncodified constitution should be codified" Discuss (25 Marks)

Yes, codify the constitution A codified constitution creates a hierarchy of laws. This allows for the enshrining of the rights of citizens protected from the government of the day and acts as a check to exec...
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Binomially expand the equation (2+kx)^-3

(2+kx) -3 = (2 -3 )(1+kx/2) -3 = (2 -3 )(1+(-3)(kx/2) + [(-3)(-4)]/2! (kx/2) 2 + [(-3)(-4)(-5)]/3! (kx/2) 3 +... ) = 1⁄8 [1 -(3kx/2) + (12⁄2 k 2 x 2 /4) + (60⁄6 k 3 x 3 /8) + ...] = 1⁄8 [1 - (3⁄2 kx) + ( 3⁄2...
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Answered by Christopher H. • Maths tutor
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