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¿Que vas a hacer en las vacaciones de verano?

Voy a ir a España durante dos semanas con mi padre, mi madre y mi hermana. Mi padre se llama Chris, mi madre se llama Lucy, y mi hermana se llama Emily. Me gusta mucho ir a España en vacaciones porque hace m...
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Answered by Charlie M. • Spanish tutor
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How is an Ox-Bow Lake formed?

In the lower course of the river, meanders (bends in the river) form when water is moving faster on one side of the channel than the other. Erosion takes place on the outsides of the bends, as the greater en...
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Answered by Rachel C. • Geography tutor
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A rocket travels with constant velocity in a straight line in deep space. A ball is thrown from the back to the front (ie from the thrusters to the nose). Describe the path of the ball. Describe the path if the rocket were accelerating along this line.

Consider first what happens when the rocket travels with constant velocity. Constant velocity implies that there are balanced forces (or indeed no forces) acting on the rocket. This is Newtons 1st Law. We kn...
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Answered by Sam W. • Physics tutor
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You area told that y is proportional to x2 and that when y = 75, x = 5. a) Find a formula for y in terms of x. b) Find the value of y when x = 3. c) Find the value of x when y = 1200.

a) when y=75 x=5 and y is proportional to x^2, so the answer is y=___x^2 if x=5, then x^2 = 25, and 75/25=3, so the answer is y=3x^2 b) if x=3, x^2=9, if you multiply this by 3, you get the answer of 27. c)i...
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Answered by Millie B. • Maths tutor
3796 Views

Express 3cos(theta) + 5sin(theta) in the form Rcos(theta - alpha) where R and alpha are constants, R>0 and 0<alpha<90. Give the exact value of R and the value of alpha to 2dp.

Write out identity: Rcos(theta - alpha) = Rcos(theta)cos(alpha) + Rsin(theta)sin(alpha) from formula booklet Write out in form of question so it's easier to compare: 3cos(theta) + 5sin(theta) = R[cos(alpha)c...
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Answered by Olivia S. • Maths tutor
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