Let hn denote the number of ways that a 1×n rectangle can be tiled with red, blue, green, and yellow squares, where there must be even number of red tiles, an even number of blue tiles, and at least two green tiles. (i) Fund a formula for hn. (ii) Use the formula to determine h3 and list the tiles of a 1 × 3 rectangle

Q: Three rational expressions have the following characteristics: a) Rational Expression 1 i. NPV's=…

A: Given that  a) NPV's are 52 and -5 and numerator is a difference of squares polynomial. b) NPV's are…

Q: Find AB if A = [4 -3 3 -1 0 -2] and B = 4 Use the tools in the

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Q: The positive value of k for which x2+kx+64=0 & x2-8x+k=0 will have real roots

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Q: Factor: =?+6:a+9a² OA (: +3a)* O B. (3a+:)(3a-=) За- O C. Nonfactorable O D. (:-3a)* O E. (: +3a)(=-…

A: A option is correct. Explanation of the answer is as follows

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: In the diagram, ABDE is a rectangle, ABCD is equilateral, and AD is parallel to BC. Also, AE = 2x…

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Q: At a certain rate of compound interest, money will double in a years, money will triple in 3 years,…

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Q: Find integers x and y so that gcd(3953, 1829)=3953x+1829y. x=2,y=5 x=-12,y=-13 x=-6, y=13 x=6,y=-13…

A: Solution:we have to find integers and so that first we find gcd of (3953,1829)here we see that…

Q: Find all the integer solutions for x+5/10 (11-clock) Show all your work to answer the problem.

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Q: Find a pair of integers x and y such that 66x + 48y = gcd(66, 48)

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Q: Find the value of each of a,b,c so that 6x3 − 7x2 − x + 2 = (x − 1)(ax2 + bx + c)

A: Given equation is : 6x3-7x2-x+2=x-1ax2+bx+c To find the value a, b, and c

Q: = 5 Find a3, a4, and as for the recursive formula an = an-1 +3an-2 if a1 = 2 and a2

A: given   recursive formula is an= an-1+3an-2and   a1=2   ,  a2=5then we have to find  a3 , a4  , a5…

Q: Factor.  A) x2-2x-35   B) x2+2x-35

A: A) We will factor -35 so that the sum of the factors= -2 Such factors are -7 and 5 So we write -2x…

Q: 5) Find GF

A: Given,