There are 100 students surveyed. 46 are taking Calculus, 24 are taking Spanish, and 12 are taking both Calculus and Spanish. If a student is picked at random, what is the probability that the student is taking Calculus or Spanish? O A. 70% O C. 46% O B. 82% O D. 58%

Q: 2. Find the number of distinct permutations that can be formed from all the letters of each word: (a...

A: The number of distinct permutations of n letters of a word where the letters n1, n2 , ... , nk are r...

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Q: To ensure that the following system of equations, 2x, + 7x, - 11x, = %3D X+ 2x, + x, = -5 7x, + 5x, ...

A: Note:- As per our guidelines, we can answer the first part of this problem. For the remaining part p...

Q: Which term describes the graph? B. D A. Circuit B. Complete graph Poth

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Q: Use any method to deter (a) 13 The series 8.

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A: Given a 10×5 grid of cartesian coordinates starting at 0,0 and going up to 10,5. (a). Consider a 10×...

Q: secó x dx V cot x 2.

A: We can solve this using trigonometric and substitution of integration method

Q: Create your own examples. Formulate one given 3x3 equation (3 equations and 3 unknowns). Solve each ...

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Q: 1. Calculate the total area of this swimming pool to the nearest tenth of a square metre. +9.6 m 16....

A: Given: To the nearest tenth of a square meter, calculate the overall area of this swimming pool.

Q: Question 17 * - 2 17. Find the derivative of y = ln 2x +5 hint : In A = In A – In B В 3x 2 x' -2 2r+...

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Q: In each of the following, eliminate the arbitrary constants 4. xsiny + x²y = c 5. y = Ax? + Be²x 6. ...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Which one of the four integrals below has a finite value ? Select one: 00 x? dx 00 1 dx 3 00 x dx 3 ...

A: We have to find the integral which have finite value.

Q: Fit a second order polynomial to the following data 1 2 4 0.5 1.0 1.5 2.0 2.5 0.25 1.0 2.25 4.0 6.25

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Q: Give the converse, inverse, and contrapositive of the implication: If a picture paints a thousand wo...

A: We want to find converse, inverse and contra-positive of the implication : If a picture paints a tho...

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Q: QUESTION 3 You are investigating hees' honeycombs for a project. 3.1 First, consider cells arranged ...

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Q: Below show the proofing steps of an argument in formal reasoning. 1. 2. Ix(R(x) ^¬S(x)) X P P 3. R()...

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Q: 6 The differential equation (y+3x)dy + (x-y) dx = 0 is best solved by A. variable separable C. Exact...

A: As per our guidelines we are supposed to answer only first one.  Kindly repost other parts in the ne...

Q: The value of x for Inequality |2x – 5| < 9 is

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Q: 2. ADEF is isosceles with DE = DF . mZ1 = 82°. Find a. m D b. mDE C. mEF

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Q: The maturity value is P 17,417. 762 and interest is P2,417.762, if P15,000 is deposited in the bank ...

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Q: A fired point of a permutation f is an element z of the domain such that f(x) = x. A derangement is ...

A: Given a fixed point permutation f is an element of the domain such that fx=x. A derangement is a per...

Q: [7 1 -21 [-3 -11 -18] 1. Consider the matrices A = 5 8 and B =| 5 6 8 l2 -6 -8) [-1 3 4 Find element...

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Q: Suppose I is a set of formulae and A CT. Prove that if A E A and A F C = ¬C, then IFI.

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Q: For the function {(0, 1), (1, -3), (2, -4), (-4, 1)}, write the domain (D) and range (R). A. D: {1, ...

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Q: Rebecca has 12 close friends. She wants to choose four of her friends as bridesmaids. How many ways ...

A: The number of combinations n has taken r at a time is equal to Crn. In this problem, a lady has 12 f...

Q: Question 8 Let f (x, y, z) : = xz cos(y). Find the directional derivative of f at (1,0, 2) in the di...

A: Solution

Q: Question No.2 A smooth and uniform rod of length L whose surface is thermally insulated is initially...

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Q: Consider the slope field shown. (a) For the solution that satisfies y(0) = 0, sketch the solution cu...

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Q: Which set of relation is a function? (9, 5), (10, 5), (9, -5), (10, -5) (3, 4), (4, -3), (7, 4), (3,...

A: To find which relation is a function . 

Q: Determine an equation for the pictured graph. Write your answer in factored form and assume the lead...

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Q: 5) Find the region in the xy-plane for which (sin x – y)y' = vx- y satisfies the nonlinear existence...

A: A differential equation  y' =f(x,y) will have at least one solution in the region where f(x,y) is co...

Q: Using initial estimates for the solution to be {0.0,0}. what is the solution to the system 5x, - 2x,...

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Q: The following ODES have been proposed as a model of an epidemic: ds -aSI dt dI aSI – rl dt dR rl dt ...

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Q: Identify what law(s) are being used in each step:

A: This is a problem of the Propositional Logic.

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Q: angle between A = -2ax + 2ay + az and B = ax + 3ay + 2az is

A: As the angle between two planes is equal to the angle between their normals.

Q: 11. Given u= x and v = (2-3x). Find u' and v'. and v'=9(2-3x)* A u' = 3 B u' ==x 3 and v'=-3(2-3x)* ...

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Q: Translate each of the following sentences into symbolic logic. (1. If f is a polynomial and its degr...

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Q: yı(x) = ež, y'¿(x) = xe y" – y' + 0.25y = 0, c. Verify if the functions yı and y2 are solution of th...

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Q: Draw the graph of the function f (x) = (2) (sen x), for the values ​​of x assigned in the following ...

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. For a function...

Q: Discuss the continuity of the function h defined by ( f(x, y) g(x, y) if (x, y) E domf and g(x, y) #...

A: Please Note that , as per your request I answered only subpart (c).  

Q: , c(0)= 2, c(-2) +C(2)= 3, c(0) + 3c(-2)/2=

A: The complete solution is in below