Short Questions Write the short answers of the following: Q.1: Define row and column vectors. Q.2: Define identity matrix. Q.3: Define symmetric matrix. Q.4: Define diagonal matrix. Q.5: Define scalar matrix. 0.6: Define rectangular matrix.

Q: Let x be the number of acres planted with corn and let y be the number of acres planted with…

A: Follow the procedure given below.

Q: Α = Α 2-2 3 3 1 2 1 3 -1

A: Determinant of a matrix using cofactor expansion along second row is as…

Q: Question 22 A sequence of the form a, ar, ar², O Geometric Progressions O Arithmetic Progression O…

A: You must have an idea about series to understand this properly.

Q: 3. Alice needs to buy 1 kg Mayonnaise. She finds there are two jar sizes of the same brand…

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Q: f:x-x 8:x-1-√x-2. XES= (x:xER. *>k). Find the least value of k for which fog is a function. 2. A…

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Q: A factor of a polynomial P(x) is x - c. Which must be true of P(x)? A P(c) = 0 BP(-) = 0 C_P(0) = c…

A: Given (x-c) is factor of P(x). Therefore P(x)=(x-c)q(x)          where q(x) is any polynomial.

Q: -2x +9 22²-42-5 4x - 7 Given the function r(x) = Calculate the following values: r(-3) = r(-1) =…

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Q: xy Z X Find the value of -8 2 -12 if it is known that u UV W 4 y z VW=-6. -1 6

A: Given problem:- if xyzuvw4-16=-6 then find the value of xyz-82-12uvw

Q: Show how to use a percent table and “going through 1%” or “going through 1” to solve the following…

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Q: 3. Suppose you deposit $1.00 into an empty piggy bank. A week later you deposit $1.50 and a week…

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Q: There are 5,280 feet in a mile. If you have slowed down and are now traveling 40 feet per second and…

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Q: Given the following relations on the set {1, 2, 3} and R = {(1, 1), (1, 2), (2, 1), (1,3)}. Which of…

A: Given problem:- Given the following relations on the set {1, 2, 3} and R = {(1, 1), (1, 2), (2, 1),…

Q: True or False? 9. Let A, B, and C be any sets then C − (A ∩ B) = (C − A) ∪ (C − B).

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Q: Cash Flows with Missing Payments P= ? 1 2 3 4 5 6 7 8 9 10 $100 i= 10% 0 11 12 13 14 15 Missing…

A: Simple Interest =(Principal × Time × Rate of Interest) /100

Q: 1.A couple plans to have three children. Construct a tree diagram and list the sample space. Find…

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Q: A 24-m ladder leaning against on the top of the wall with angle of elevation of 30 degrees. Then the…

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Q: Let A= {1, 2, 3, 4, 5} and B = {∅}. Find A ∪ B.

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Q: A storage container consists of a box length of 90 cm, width 42cm, and a listing of half cylinder as…

A: First we find half cylinder as shown following diagram.

Q: Describe how to represent 0.0278 with bundles of small objects. In this case, what does one small…

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Q: Match each angle with its corresponding reference angle. 117 a. b. C. d. e. 22 T 9 28 TT 9 -23 T 12…

A: We have to find solutions

Q: 1. How many squares are in the figure?

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Q: Solve the following. y 4 =y 5 y y = (Simplify your answer. Type an integer or a fraction. Use a…

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Q: A factor of a polynomial P(x) is x - c. Which must be true of P(x) ? A P(c) = 0 BP(-c) = 0 CP(0) = c…

A: Given polynomial is Px and its factor is x-c.

Q: Determine the equation of the parabola with vertex (–8, 10) and that passes through (2, 18). Explain…

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Q: 3. Suppose that a group G contains elements of orders 1, 2, 3, 4, ..., 8, 9. What is the minimum…

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Q: 18-20. Reler to the illustration below: One of your dreams is to have a new cell phone. You went to…

A: To find available cell phones from which we can choose.

Q: = [a b] and B =[2³]. a. Compute AB. b. If AB = 1-5₂ 1. Let A = find the entries of A, i.e. find the…

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Q: . A ball is kicked and lands 24 m away from where it was kicked. The maximum height, h, in metres,…

A: Solution is done in step 2

Q: 5. A number cube is rolled. What is the probability of rolling a number that is not 3? D. 6/6 or 1…

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

Q: Write a function based on the given parent function and the transformations in the given order. 2)…

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Q: Find an example of nonempty, distinct sets A, B, C for which (ANB) UC = (AUB) nC.

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Q: (e) x² - 4x+4 <0

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Q: Determine whether each sentence is a statementor NOTa statement. a. Cagayan State University is in…

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Q: A snail is crawling straight up a wall. The first hour it climbs 16 inches, the second hour it…

A: A snail is crawling straight up a wall. The first hour it climbs 16 inches. The second hour it…

Q: A rancher is mixing two types of food, Brand X and brand Y, for his cattle. If each serving is…

A: Given ,  A rancher is mixing two types of food , brand X and brand Y , for his cattle  If each…

Q: Helen is building a cabin using cylindrical logs of length 2.4 M and a radius 8.4 CM. A wedge is cut…

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Q: 4 C Given that log 20.593, log 4 1.185, and log 6 1.533, find log log c c (Type an integer or a…

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Q: Part A A function f(x) is a quadratic function with a discriminant of 32. Another quadratic…

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Q: Evaluate the integral using an appropriate substitution. dx = +C x√√8-xd

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Q: What is the equation of the parabola with vertex (1, –11) and that passes through (–4, 64)?

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Q: 10s²+17s+12, S³+27 g. L−¹(² C-1 [10s ² +

A: This is a problem related to inverse laplase transform. Based on the general formula and concept we…

Q: The cross-section of the reflector in a flashlight is a parabola. Suppose the light bulb is lo-…

A: Consider

Q: Show that the set {5, 15, 25, 35] is a group under modulo 40. What is the identity element of this…

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Q: 6. Functions f and g are defined by Solve the equation f(x) = g(2) f:x-10-31, 10 xeR XER. **

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Q: Learning Competency Learning Tasks Day 1 1.Use the Counting Principle to find the Counts the number…

A: We have to find sample space

Q: Question 17 How many elements are there in the relation S on the set {1, 2, 3,..., 100}, where S =…

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Q: 1) Construct a system of equations where (-2, 3) is a solution to the first equation but not to the…

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Q: Exercise 8. Let u = (0, 1,2,0), and w = (1, 1,2,0). Then the distance between u and w is: a. 3 b. 2…

A: As we know that; The distance between two points in 4-dimensional space is given by:…

Q: 15. Tracy has the following transactions written down and plans on entering them into her register.…

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Q: 5. Write TRUE if the statement is true and FALSE otherwise. Justify your answer. a. All generators…

A: Using definition