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A chemist needs 150 milliliters of a 23% solution but has only 12% and 27% solutions available. Find how many milliliters of each should be mixed to get the desired solution.
able industries bought a fax machine for $250. it is expected to depreciate at a rate of 25% per year. what will the value of the fax machine be in 3 years?
Probability of drawing the following card. One card is drawn from an ordinary deck of 52 cards. Find the probability of drawing the following card
In Algebra, when using the addition method, how can you tell if a system of linear equations has infinitely many solutions?
Could you give me one of your concise explanations with examples as to how to use them? I am struggling with the abstract aspects of this concept.
Show that the given relations are contradictions
From a group of three finalists for a privately endowed scholarship, two individuals are to be selected for the first and second places. Determine the number of possible selections.
a particle moves on the x- axis so that its accleration at any time t > 0 is given by a=(t/8)-(1/t^2). when t=1, v= 9/16 ft/sec, and s=25/49 ft.
Evaluate the line integral, where C is the given curve. (Round your answer to one decimal place.)
Derive the Euler-Lagrange Differential Equation (rigorously). Explain any theorems or results that you use in the derivation (e.g. don't just say "by the fundamental theorem of the calculus of variations" without telling what the fundamental theor..
pressure P and volume V are related by the equation PV^1.4 = C, where C is a constant. Suppose that at a certain instant the volume is 900 cm3 and the pressure is 80 kPa and is decreasing at a rate of 10 kPa/min
A dance team knows 14 routines of which 7 are tap, 5 are ballet, and 2 are modern. The program can consist of any four routines. In how many ways can the manager choose which routines to present if there are no restrictions?
Bella requires $80,000 in four years to purchase a new home. What amount must be invested today in an investment that earns 6% interest, compounded annually.
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