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Given a^2 < 4 and a+2b = 8. Work out the range of possible values of b. Give your answer as an inequality.

For this question, we want to start by finding the possible values of a from the first equation and then using that to give us information about b from the second equation. Now, the condition that a^2 &lt; 4...
FS
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The first term of an infinite geometric series is 48. The ratio of the series is 0.6. (a) Find the third term of the series. (b) Find the sum to infinity. (c) The nth term of the series is u_n. Find the value of the sum from n=4 to infinity of u_n.

Note here: u_n indicates u subscript n. (a) u_1 = 48 and the ratio, r = 0.6 Using a calculator, u_2 = 48 x 0.6 = 28.8 u_3 = 28.8 x 0.6 = 17.28 (b) We have the known result that the sum to infinity of a geome...
FS
Answered by Felix S. Maths tutor
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Express 0.545454... as a fraction in its simplest form.

First, we are going to give our decimal a name, let's call it x. We notice that x repeats after two digits, so how about we look at 100x. 100x = 54.54545454... But, the decimal part of this number is what we...
FS
Answered by Felix S. Maths tutor
32298 Views

What is osmosis?

Osmosis is the movement of water from a high concentration to a low concentration through a partially permeable membrane . It is a special type of diffusion. You may get questions asking you to decide which ...
YW
Answered by Yvonne W. Biology tutor
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What are the Renaissance period stylistic features present in Weelke's, 'Sing We at Pleasure'?

This late renaissance piece has mostly syllabic text underlay, and is unaccompanied. There is a focus on light dotted rhythms and a primarily major tonality, which was a shift from the earlier 'minor' modes ...
AT
Answered by Adam T. Music tutor
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