A musical scale has 12 half-tones that correspond to the 12-hour clock. What note is 6 half-tones above A?

Q: The A-Plus auto parts store chain has two outlets, one in Manila and one in Laguna. Among other thin...

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Q: b. Recall that f(x) = 2*-1 – 1. Graph of f,(x) = f(-x) + 2, f2(x) = f(-x+1) + 1, and f(x) = fi(x) + ...

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Q: b. f(t) = e-04t cos12t

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Q: Given that the revenue function, R (x) = 26x - 2x and the cost function, C(x) = 6x + 20. Find (i) th...

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Q: Exercise: Solved the following problem: The average cost per unit C(x), in dollars, to produce x uni...

A: Given that the average cost per unit C(x), in dollars, to produce x units of toy cars is given by S=...

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Q: Find the general solution of the system of ODES: dyi 2у1 - Зу2 + 1, dt %3D dy2 = -3y1 + 2y2. dt

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Q: 1+1-3-32 =

A: Given expression is 1+1-3-32. We have to simplify the given expression. Now, 1+1-3-32=2-35=-33 Hence...

Q: Two cars started at 8:00 AM from Agoo each heading for Baguio. One car’s average speed is 10 kph mor...

A: let the speed of one car is x kph according to question , other car's speed is 10 kph more  implies,...

Q: Verify that (p v q) = (¬p) ^ (¬q)

A: ¬p∨q≡¬p∧¬q

Q: [3 1 6. 3 Mat C =|11 -2 5 4 Mat A = magic(4), Mat B = 8 20 l10 7 11. 5 11 30 6.

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Q: 3. Let S be the set of BS Math students, M be the set of math courses/subjects, and p(s, m) be the p...

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Q: Given that a =3 and 1 if a is even; a n+1 5а - 1 if a_is odd. Then tern number four, i.e., a а, is

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Q: Consider the sequence 5, 10, 15, 20, ..., 5n + 5. a. How many terms are there in the sequence? Your ...

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Q: Exercise 2. Let A, B C R. (a) Prove that AUB = AUB. (b) Prove that ANBCAN B. (c) Find sets A and B s...

A: Solution:-

Q: 29. 30. - 16 s + 10 1 31. s2 - s - 2 32. (s + a)(s + b)

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Q: p,q are positive integers and n = 2^q3^q. let P be a poset with positive points that are divisors of...

A: Given p,q are positive integers and n=2q3q. Let P be a poset with positive points that are divisors ...

Q: 7 45 and fourth term of (3x -) 6. Find the product of expressed 2 as P.

A: The complete solutions are given below

Q: r-1 Solve + r

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an algebra...

Q: Consider the function f(r, y, 2) = ry + y² + z². (a) What is the gradient grad f of f, and what is i...

A: Given: f(x,y,z)=xy+y2+z2a) To find, grad f and its value at point 2,1,1

Q: Find a particular solution to the following differential equation using the method of variation of p...

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Q: 7. You must explain your reasoning. Consider the following radial vector field F: (a) Is Fa conserva...

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Q: Find a EX I a differential equation whose general solution is y = c, e2€ + C,te2€ -t 6€

A: A differential equation contains independent variables, dependent variables, and the differential co...

Q: Fill in the gaps in the following sentences: a) Widening a pair of compasses by 1 cm increases/decre...

A: Given that a circle is drawn using a compass. Now if the legs of compass are widened by 1 cm, the fi...

Q: A water tank is in the form of a right circular cone with vertex down, 12 ft. deep and 6 feet across...

A: Given: height, h=12 ft., radius, r=62=3 ft., and dVdt=10 ft3/minTo find, The rate at which the water...

Q: ) The length of the box is 9 inches more than its width. The height of the box is 1 inch less than i...

A: Given: Length is 9 inches more than width. Height is 1 inch less than width. Volume = 72 inch3

Q: Show that a graph of order n and size n – 1 need not be a tree.

A:   We will give a counterexamples to prove what is required to be proved.

Q: GIVEN COMPLEX NUMBER 3 - i 2. 2 - i

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Q: • Show that f(x) < x. • Show that ƒ has no fixed point on (0, 3]. Hint: Assume there were f(c) = c a...

A: This is a problem of metric space, real valued function.

Q: The characteristic of Z5[x]/ 3 5 O O C

A: Introduction: The characteristics of a field is either 0 or prime. Suppose, a polynomial fx is given...

Q: SIX six 15. Carry out the addition shown using base-six notation and show that your answer is correc...

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Q: Exercise 4. Express the following as a power series and determine the radius of convergence: 1+ iz (...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: A mass m is attached to both a spring(with given constant k) and a dashpot(with given damping consta...

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Q: Let U= {1,2,3,4,5,6,7,8,9,10,11} A= {3,5,8,11} B= {2,5,6,7,8} C= {1,3,5,6} D= {3,4,6,7,8,10,11} Find...

A: Given sets are U= {1,2,3,4,5,6,7,8,9,10,11} A= {3,5,8,11} B= {2,5,6,7,8} C= {1,3,5,6} D= {3,4,6,7,8,...

Q: Find the principal which amounts to $5,500 at simple interest in 5 years at 2% per annum

A: The formula for Simple interest is SI=P×R×T100, where P is the principal amount, R is the rate of in...

Q: G= {5,9,11, 177 H= {4,5,6, 7,8.} Find GnH and G-H

A: The given sets are: G=5, 9, 11, 17 and H=4, 5, 6, 7, 8 The only common element in both sets is 5. Th...

Q: a. y = 2r + 4 b. y = 2x + 7 C. y 2x-5 d. y = 3x- 6 e. y = -4x- 1 f. y=-3x-2 2. Find the x- and y-int...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: AnsweI. 8.) The value of the 7 in 507,264 is 10 times the value of the 7 in which number? A 587,921 ...

A: Introduction: The place value in a number is very significant. Each and every integer in a number ha...

Q: 4. Apply Warshall's algorithm to find the transitive closure of the digraph defined by the following...

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Q: (a) Calculate the divergence of F. Use the divergence theorem to show that the flux of F over any cl...

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Q: Question 2. Ten men and eight women are going to occupy a row of 20 seats. The men are seated from l...

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Q: 4. Assume that consumers value a high quality piece of furniture at 5000 and a bad quality one at 30...

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Q: Let A = {a, b} then select the best one option. (a) {(a, a), (b, b)}is reflexive (b) {(a, a), (b, b)...

A: Introduction: A relation R is reflexive on any set A if for every element in A a∈A, We have a,a∈R.

Q: 3. a) Find the percentage error in computing u = Vx at x = 2.45, when x is 4 b) | If Ax = 0.005, Ay ...

A: We will use basic concept of errors analysis here  

Q: Determines who wins the plurality vote and who wins the rank voting or preferential voting method in...

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Q: Suppose that f(x, y) is a differentiable function, and that (P] g(u, v) = f(e" + sin v, e“ + cos v)....

A: Given that gu,v=feu+sinv,eu+cosv

Q: Given a period function f(x) with a period p 4, -2 < x < -1 -1 <x <+1 +1<x < +2 (0, f(x) = }k, (0, (...

A: The given problem is to draw the graph of given periodic function and determine whether the function...

Q: scriminant of the quadratic equation x2+2x-7=0

A: Introduction: The discriminant of the quadratic equation ax2+bx+c=0 is given by, d=b2-4ac If discrim...

Q: 4. Use the Fixed-Point Iteration Method to find the solutions to the equation sin x –e-* = 0 in the ...

A: a)

Q: The value of ⌊−3.4⌋ is​

A: The greatest integer function is the round off of the real number down to the integer less than the ...