### Isolating variables

Given the formula below, make (i) h and (ii) a the subject of the formula A = 1/2*h*(a+b) Given the formula below, change the subject of the formula to P A = [P(1+r)^n-1]/r

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Given the formula below, make (i) h and (ii) a the subject of the formula A = 1/2*h*(a+b) Given the formula below, change the subject of the formula to P A = [P(1+r)^n-1]/r

Rearrange the following expression such that b is on the left hand side of the equality: d = 1.3[(ab)^0.625)/(a+b)^0.25]

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I want help understanding the following statement. I need to be able to use this formula but I don't quite get it. What does the little n stand for? So suppose my universe is 15 usability problems and each subject gets 20% of them (the L) how do you use the little N in this equation to get the result? Here is the paragraph t

Please see the attached file for the full problem description. Given Sn and S∈ (0,∞). If Sn →S, prove ∃α>0, ∃Ν∈N s.t. ∀n ≥ Ν, an>α.

If G is a group and gEG, define C(g)={zEG|zg=gz} show that C(g) is a subgroup of G (the centralizer of g in G). Note: E means element of

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How would you go about solving for x, when x to the tenth power = 2.533836? Thanks! x^10= 2.533836

Find the general solution, if possible. Otherwise find a relation that defines the solutions implicitly: xy' - y = 2y (ln y - ln x)

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A battery is put on charge.The relationship between the charging current, i amperes,and the time, t hours passed,is given by the formula i=3e^(-0.36) show that the formula for i can be arranged to give the time t as t=1/0.63log e (3/i) could you please show me working out steps!

Can we define a uniform probability over IN which has a sigma-algebra of all its parts ?

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Write in expanded notations, 26,859

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Please see the attached file for the fully formatted problems. Write the following functions in terms of the elementary symmetric functions: (u1 + u2)(u1 + u3)(u3 + u2) u31 + u32 + u33 + u34

(#48) Two swimmers start at opposite ends of a pool 89 feet long. One person swims at the rate of 19 feet per minute and the other swims at a rate of 53 feet per minute. How many times will they meet in 33 minutes? (#33) Two swimmers start at opposite ends of a 90-foot pool. One swims 30 feet per minute and the other at 20

Given f(x)= 4x squared - 3x + 2 and g(x)= 3x - 2, find each of the following. simplify the expression if possible. a. f(-5) b. f(x+h) - f(x)/ h c. (f o g)(x)