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Prove by induction that for all positive integers n , f(n) = 2^(3n+1) + 3*5^(2n+1) , is divisible by 17.

  1. Prove the base caseFor n=0, f(0)= 2 + 15 = 17Therefore, when n=0, f(n) is divisible by 17, base case is true2. Assume true for any integerAssume for n=k, f(k) is divisible by 17f(k)= 23k+1
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what is the site of gas exchange in the lungs

the alveoli (air sacs that follow from the bronchioles)

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Answered by Sito E. Biology tutor
2840 Views

what are isotopes and why do they have the same properties?

Isotopes are atoms of the same element that have the same proton number but different nucleon number. TRAIN OF THOUGHT --- Isotopes have the s...

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Answered by Sito E. Chemistry tutor
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Solve x^(-1/4) = 0.2

Get both sides in similar forms to make it easier to solve.1/x1/4 = 1/5x1/4 = 5x = 54 = 625

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A curve has equation y = ax^2 + 3x, when x= -1, the gradient of the curve is -5. Work out the value of a.

The gradient of a curve at a point is given by dy/dxDifferentiate the equationplug in the valuesdy/dx = 2ax + 3x = -1, dy/dx = -5-5 = 2a*-1 + 38 = 2aa = 4

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