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If 3x2 is multiplied by the quantity 2x3y raised to the fourth power, what would this expression simplify to?
The statement in the question would translate to 3x2(2x3y)4. The word quantity reminds you to put that element of the expression in parentheses. Evaluate the exponent through multiplying each number or variable inside the parentheses through the exponent outside the parentheses: 3x2(24x3×4y4); simplify: 3x2(16x12y4). Multiply the coefficients and add the exponents of such as variables: 3(16x2+12y4); simplify: 48x14y4.
From a point P, two tangents PA are drawn to a circle with center O.If OP=diameter of the circle show that triangle APB is equilateral. Ans: PA=PB (length of tangents
(b) The arity of an operator in propositional logic is the number of propositional variables that it acts on – for example, binary operations (e.g, AND, OR, XOR…) act on two propo
Question A 22 kW, 3-phase, 415 V, 40 A, 50 Hz, 960 rpm, 0.88 PF squirrel cage induction motor drives a pump. The total inertia of the drives system is 1.2 kg-m2. Determine th
Example of Trig Substitutions Evaluate the subsequent integral. ∫ √((25x 2 - 4) / x) (dx) Solution In this type of case the substitution u = 25x 2 - 4 will not wo
how do mathematical ideas grow?
Vector theories
Find the 14th term in the arithmetic sequence. 60, 68, 76, 84, 92
The distance from the earth to the moon is approximately 240,000 miles. What is this distance expressed in scientific notation? To convert to scienti?c notation, place a decima
If a+b+c = 3a , then cotB/2 cotC/2 is equal to
Also, their inability to apply the algorithm for division becomes quite evident. The reason for these difficulties may be many. We have listed some of them below. 1) There are n
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