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Algebraic Word Problems:
Equations:
1. The total electrical output of one nuclear facility is 200 megawatts more than that of another nuclear facility.
Let L be the output of the larger facility and S the capacity of the smaller facility. A statement above written in equation form becomes L = 200MW+ S.
2. The flow in one branch of a piping system is one-third that in the other branch.
If B is the flow within the branch with more flow, and b is the flow in the smaller branch, this statement becomes the equation b = 1/3 B.
3. A man is three times as old as his son was four years ago.
Let M = man's age and S = son's age. Then M = 3 (S-4).
4. A car travels in one hour 40 miles less than twice as far as it travels in the next hour.
Let x1 be the distance it travels the first hour and x2 the distance it travels the second then, x1 = (2) (x2) -40.
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A box contains 12 balls out of which x are black .if one ball is drawn at random from the box what is the probability that it will be a black ball ? If 6 more black balls are pu
1. Which of the following is greater than 4.3 x 10^9 a. 2.1 x 10^9 b. 3.2 x 10^9 c. 5.3 x 10^9 d. 7.4 x 10^8 2. Which of the following is less than 6.5 x 10^-5 a. 1.4 x 10
If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) y′ + q (t ) y = 0 So the Wronskian of the two solutions is, W(y 1 ,y 2 )(t) = =
On the Assessment page for the module Moodle site you will find five frequency response functions for the frequency range 20 to 100 Hz in the EXCEL spreadsheet "FRF_Data". These a
A medical survey was conducted in order to establish the proportion of the population which was infected along with cancer. The results indicated that 40 percent of the population
solving sums
Find out the length of y = ln(sec x ) between 0 x π/4. Solution In this example we'll need to use the first ds as the function is in the form y = f (x). So, let us g
The general solution of the differential equation (dy/dx) +x^2 = x^2*e^(3y). Solution)(dy/dx) +x^2 = x^2*e^(3y) dy/dx=x 2 (e 3y -1) x 2 dx=dy/(e 3y -1) this is an elementar
The positive value of k for which x 2 +Kx +64 = 0 & x 2 - 8x + k = 0 will have real roots . Ans: x 2 + K x + 64 = 0 ⇒ b 2 -4ac > 0 K 2 - 256 > 0 K
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