(c) How many perfect squares are there between 1,000,000 and 9,000,000? (d) Determine the number of different triangles that can be drawn given eight noncollinear points? (e) There are 25 students asked by their literature instructor regarding with the type of literary works they prefer to read. He found out that 10 prefer to read novels, 11 prefer to read short stories, 15 prefer to read poems, 5 for both novels and short stories, 4 both short stories and poems, 7 for both novels and poems, and 3 prefer all. How many students prefer none of the given types of Literary Works

Q: 9. Suppose a data cube, C, has D dimensions, and the base cuboid contains k distinct tuples. (a)…

A: a.) We need to merge k distinct tuples so that there will be fewer cells(there are always k cells in…

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A: Given the vertices of triangle M(-4,0) , N(3,-1) and Q(2,4). We need to find the area of the…

Q: 1. An art student starts with a white, right triangle that has a base of 16cm and heights of 80 cm.…

A: Area of a right angle triangle is 12×Base×Height

Q: How many perfect squares are there between 1,000,000 and 9,000,000?

A:

Q: In Exercises 35 and 36, use Theorem 2.5.1 to solve the prob- lem. According to this theorem, the…

A: Definition used -                     Number of diagonals -                          D= n(n-3)2…

Q: 3. A rectangle is inscribed in a right triangle of sides 5, 12, and 13. What are the dimensions of…

A: The below Figure represents the given information, Compute the area of the triangle ABC as follows.…

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Q: 5. Find the area of the section ABCD as shown in the figure if A, B, C, and D are one-third from the…

A: Given:   Figure is given

Q: Show that the sum of the cubes of the first n positive integers is (n(n + 1)/2)^2

A:

Q: Find the largest value of n such that: > (6k – 8) < 3000 k=1

A:

Q: Label the special right triangles with the correct "n" rules. 30 45 :: n : n/2 :: n/3 :: 2n

A: Solution:The special right triangles To label the correct n rules.

Q: 7.) Test for symmetry (even, odd, or neither). Show all work for credi- y = 2x3 – 4x -

A: Given: y= 2x3-4x

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A:

Q: Use Polya’s Four Steps to solve the problem: How many perfect squares are between 1,000,000 and…

A: Find the number of perfect square between 1,000,000 to 9,000,000.   The four step of Polya’s is…

Q: John wanted to take his nephew fishing on this man-made pond. If there are 16 whole squares that…

A: Option D is correct answer. 11 Detailed explanation given below.

Q: Suppose we have L-shaped tiles made up of three squares: Prove that for all n > 1, it's possible to…

A: Suppose we have L shaped tiles Prove that for all n&gt;=1 it's possible to lay these tiles down to…

Q: 16. Find a method that can produce infinitely many triples (a, b, c) with no common factors such…

A: Given: A triple is a set of three positive integers (a,b,c)

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Q: Two squares each of 12 cm sides overlap each other such that the overlapping region is a regular…

A: The overlapping figure will be regular octagonAnd length of the side of the regular octagon is 2x,…

Q: Find the maximal area of a right triangle with hypotenuse of length 8.

A:

Q: 18. (a) Show that of all the rectangles with a given area, the one with smallest perimeter is a…

A: Here is the solution

Q: What is the shortest side of ALMN? Ο ΜΝ Ο NL O LN

A: It is given that △ABC≅△LMN So ∠A=k∠L, ∠B=k∠M, ∠C=k∠N And also AB=sLM, BC=s MN, CA=s NL It is given…

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A:

Q: 63. Prove that the rectangle with the largest possible areagiven a fixed perimeter P is always a…

A: Let the length and breadth  of rectangles be x and y units…

Q: Find a polynomia with integer coefficients that has degree 3 and zeros 3, 2i, -2i

A:

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

A:

Q: 2. Janyce conjectured that in the visual pattern below, there would be 3n - 1 small squares in the…

A:

Q: bute 80 identical pencils in a class consisting of 10 boys and 20 girls in such a way that each of…

A: Given:- Number of boys=10 Number of girls = 20 Number of Pencils=80

Q: The perfect squares between 38 and 93

A:

Q: 6. Each of the three vertices of a triangle is connected by n line segments to n distinct points on…

A: Given that, Each of the three vertices of a triangle is connected by n line segments to n distinct…

Q: 15. Find algorithms for getting the third and fourth roots of N that are similar to that in Exercise…

A:

Q: 4. All pentagons have exactly five sides. Figure A is a pentagon. Therefore, Figure A has exactly…

A: NOTE:-AS POSTED MULTIPLE INDEPENDENT QUESTIONS. WE ARE ANSWERING ONLY FIRST QUESTION AS PER BARTLEBY…

Q: 2. Find the area of the regular polygon. 3 12 -6 -5 -4 -3 -2 -1 n= 4 B

A:

Q: 5. It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Three cubes of metal whose edges are 3, 4 and 5 cm respectively, are melted without any loss of…

A: i) The volume of the cube of edge 3 cm is 33 cm3. i.e. 27 cm3. The volume of the cube of edge 4 cm…

Q: Find the area of triangular ABC of points (4,6,12), (2,7,6) and (-2,5,6).

A: Given vertices of a triangle are (4,6,12), (2,7,6) and (-2,5,6). To find the area of triangle ABC.…

Q: 6. For how many values of n will a regular n-sided polygon have interior angles with integral degree…

A: For an n-sided regular polygon, the sum of interior angles is n-2×180 In a regular polygon, all the…

Q: 3. Determine the nth-term formula for the number of square tiles in the nth figure. а. a2 a4 as b.…

A:

Q: 3. A rectangle is inscribed in a right triangle of sides 5, 12, and 13. What are the dimensions of…

A: The area of the right triangle is half the original triangle

Q: 4.6.26. Consider a regular triangular board of side length 2". The board consists of 4" equilateral…

A: Note: We are entitled to solve only one question at a time. As it is not mentioned so we are doing…

Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.

Q: Show that if n eZ is a perfect square such that 3 n, then 9|n.

A: We will prove the given statement.

Q: 1.In an artistic design by a contractor of the  students' centre in a  university,  four pillars…

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Q: How many squares of any size are in an 8x8 checkerboard using Polya's Four step method

A: Polya's created a famous four step process for problem solving which is used all over to aid people…

Q: 1. Identify the segment bisector of AB, solve for x, then find AB. 4x - 13 3x - 5 AB= th of the ment…

A:

Q: 3. Consider the checkerboard below. How many squares of all sizes appear on this checkerboard?

A:

Q: Suppose that there are n = 2k teams in an eliminationtournament, where there are n∕2 games in the…

A:

Q: You mentioned that because 100 10°, 100 is a perfect square. What are some other perfect squares…

A: 17×17=28918×18=32419×19=36120×20=40021×21=44122×22=48423×23=52924×24=57625×25=625