A card is selected from a standard deck. In how many ways could it be a face card or a prime number? 24 28 192

Q: 1. Calculate the batting runs for the top five home run hitters of all time, for the season in which...

A: We will use basic knowledge of logic to answer this question.   

Q: Part 3: Determine whether B is the multiplicative inverse of A. Show your solution. -1 0 -1 1 -, (5)...

A: A square matrix Y is said to be the multiplicative inverse of another square matrix X if their produ...

Q: If limkoo ak 0 then Eak is convergent.

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Q: Let a,b be two real numbers and define a*b=ab+a+b. What is the inverse element for 2? O -2/3 O -2 O ...

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Q: 27. Find examples of (2 × 2) matrices A and B such that det (A + B) + det(A) + det(B).

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Q: If e-x, xe-x are the solutions of y''+ay'+by=0 then, what are the values of a and b.

A: To find- If e-x, xe-x are the solutions of y'' + ay' + by = 0 then, what are the values of a and b.

Q: solution of differential equations in terms of bessel function

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Q: QUESTION7 Let g be a fixed element of a group G.Prove that H = {x EG: gx = xg } is a subgroup of G.

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Q: yı(t) = 4et, y',(t) = e=t ty" + 2ty' + ty = 0, a. Verify if the functions yı and y2 are solution of ...

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Q: Given the vectors a=i + j + k,  b= i-j and c=i + 2j + k, determine the volume of tetrahedron

A: Given- Given the vectors a = i + j + k, b = i - j, and c = i + 2j + k.  To find- Determine the volum...

Q: Find the derivative by the definition of each of the following functions: - 1- y = 2x2-3x 2- yv1+2x

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Q: a scale model of a redwood tree uses the scale 3 inches represents 15 feet. The height of the tree i...

A: 3 inches represents 15 feet.The height of the tree is 120 feet.We have to find the height of the sca...

Q: 5. Decide which of these integers is congruent to 13 modulo 17. a) 81 b) 18 c) -38 d) 83 e) -11

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Q: In a table, list down 3 original examples of domain and range in real-life scenarios related with yo...

A: The real-life scenarios to understand domain and range are given as follows:

Q: a0

A: a) The given recurrence relation is: an+2 = -4n+1 + 5an The relation can be written as follows: an+2...

Q: In a class of 80 students, sixty percent use neither an iPhone nor an iPad. Twenty percent use an iP...

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Q: nn MEGMar(1-|-.0) i=1 j=1 i=1 j=1 = GĞMar(1-r- al.0) + GÖMar(1–|h- 2|,0) + ciğMar(1- |21 -23,0) + cĞ...

A: Yes, because When you are assuming C1 = i , C2 = 0, and C3=0, Then summation will be -1 which are le...

Q: c. In what quadrant does 5.5 e3.5i rad lies?

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Q: A company wants to plan production for the ensuing year so as to minimize the combined cost of prod...

A: We will solve this linear programming problem using excel solver. below excel screen print show the ...

Q: Suppose that f is a function whose domain is R and satisfies the following properties: • f(7) = -1 w...

A: Given the function fx=-1, x<-21, x=00, x>2. (i) We can join the points -2,-1 to 0,1 and 0,1 to...

Q: The school that Huong goes to is selling tickets to a spring musical. On the first day of ticket sal...

A: To solve the system of the two equation a1x+b1y=c1a2x+b2y=c2 Use elimination method  Consider the e...

Q: Part 1: Use row operations to transform the following matrix into reduced row-echelon form. [3 -1 1 ...

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Q: Disjoint Set 4. 1. If every element of A is oalso an element of B. If the they have common element I...

A: We know that if two sets are disjoint then they don't have any element in common. Elements of two di...

Q: C+2 7. (i) Show that A(c) = (ii) Given the previous part, find a closed form for

A: The complete solutions are given below

Q: Let 1)" Find sup A and inf A. Provide some explanations how you got their values or why they don't e...

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Q: 3. Convert the decimal expansion of (231)10 to a binary expansion a) (1100111), b) (1110011)2 c) (11...

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Q: QUESTION 5 Find all the elements of order 12 in Z48000 -

A: Number of elements of [m] in Zn is phi(m)

Q: [16 6 5 12 If we multiply matrices B =|1 11 and C = |-9 1 -5 , which of the following is 8 14 6 -11 ...

A: Given B = 16-711138andA = 6512-91-5146-11

Q: We have found the constants for the equation relating X to t. Now we can solve for X. For convenienc...

A: Here we have, 150-x120-2x=54e180kt   We need to find the value of x. However cross is already done i...

Q: (b) 4x²y"(x) +4xy'(x) + y(x) = 0, x > 0

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Q: 4. Find all points of discontinuity. 17/11 a) f(x) = x-23 x²+5x-2 b) f(x) = x-9 x'+6x+9 c) f(x) = x²...

A: Clearly the given functions are Rational functions since they are of the form p(x) / q(x) and We kno...

Q: Suppose you have 5 different flags available to make a signal. How many ways can this be done if you...

A: Given there are 5 different flags.

Q: If the 4th term and the 14th term of an arithmetic sequence are 13 and 73 respectively, the sum of t...

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Q: 6. " If Alexander exists or x? – 2x + 1 = 0, where x = 1 then it is not true that 1+1 = 3 and mouse ...

A: This is a problem of propositional logic.

Q: [5 Consider matrices A =9 -11 11 and B =|0 -1] Two elementary matrices -4 c) 2. 8. 4 1 -1 3 -4 2. E ...

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Q: Question 2 Define the function g(x, y) = [4 – (x – 1)²][1 – (y – 2)²]. (a) Find the local maximum po...

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Q: Solve the simultaneous equations. You must show all your working. y = 2 2х — у 3D 1

A: The equations that share common variables are called the simultaneous equations. The simultaneous eq...

Q: Question 3. Given the function f : R → R defined by if x 1 f(x) = 21² +x-1 r+1 a. Find the image f(R...

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Q: 6. Danny buys 3 gallons of gas for $22.41. Find the unit price. this ont was Gut

A: We have to find unit price.

Q: Question 9 3y(x? - 1)dx + (x3 + 8y - 3x)dy = 0 when x = 0 and y = 1 A x (x² - 4) = 3(1 - y?) в) ху (...

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Q: Explain the Pythagorean Theorem, its proofs and applications.

A: The Pythagorean Theorem states, "In a right-angled triangle, the square of the hypotenuse is equal t...

Q: Use Laplace transform technique to solve the initial value problem y" – 4y = e*, y(0) = 0, y(0) = 0.

A: Given equation is y''−4y=e3t.....1 and y0=0, y'0=0. We know that Ly''=sYs−sy0−y'0 and Ly=Ys Take a L...

Q: au buv u — — су + duv

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Q: Problem 1. Let c, C be the columns of the matrix b, ba and let b 3 ba (a) Find the matrix (A"A) 1. (...

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Q: 3 Expand (2x? + 3)° 3 Expand (5x° + 5)°. 3 Expand ( 4x 25 +11) 3 4 Expand (* + 20) 3 Expand ( + 2 2 ...

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Q: Brenda's bank offers car financing for 3, 4, or 5 years. If Brenda chooses 5- year financing, how ma...

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Q: Which of the following numbers can be the order (aka the number of elements) of a finite field? 701,...

A: The number of elements of a finite field is called its order or, sometimes, its size. A finite field...

Q: 1. Let a and b be natural numbers, where a, b > 2, such that gcd(a, b) = 1 and ab = (x + y)" for som...

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Q: 1. Let z and w be complex numbers. (a) Show that |1+ z w² + |z – w2 = (1+|z|?)(1+ |w/?). (b) Show th...

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Q: A steel manufacturing company has 2 types of steel: High Carbon and Low Carbon. The table below prov...

A: The given problem is related to linear programming problem. We solve it by graphical method. The sol...