The figure shows the number of dots in each of the first four terms of a pattern. Which of these can be used to determine N, the number of dots given t, the number of the term in the pattern. A: N= 4(t-1) B: N= 3t+1 C: N= 3(t-1)+1 D: N= 3t+2

Q: The answer is not shown for the 2

A: Left end sum=sum of areas of the rectangles      =7X10+9.8X10+13.2X10+18.1X10+20.5X10      =68.6X10…

Q: Explain why in any digraph, the sum of all the in-degrees must equal the sum of the out-degrees.

A: To prove, the sum of all the in-degrees must equal to the sum of all out-degrees. In-degree of a…

Q: Which of the following is equivalent to the expression below? -4g + 8m - (-2g) + (-10m) – 10 A. -2g…

A: To find  The equivalent expression

Q: Let A = {1}, B = {2}, and C = {3}. (a) Explain why A x B B x A. (b) Explain why (A x B) × C # A × (B…

A: Cartesian product: The cartesian product of the sets A and B is defined as the set of all the…

Q: If Sara started at her house (4, 5) and walked to the grocery store (6,-4), how far (in kilometer…

A:

Q: Draw a chip model to represent -4 – (-3). This should use a take-away interpretation of subtraction.…

A: We have to draw a chip model to represent -4-(-3).

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A: Given: 100 pizzas are randomly assigned to 5 different temperatures and baked for 15 minutes. 20…

Q: Find each difference

A:

Q: If M = 24a-2b-3c5 and N = 18a 7b6c-4, then =? M

A:

Q: Q-4. Find the value of given combination 11 (H) + (5) 6 2

A:

Q: = Let A = 9 -6-1 Find 4A + 3B. 4A + 3B = 7 and B = -2-5 7 8 (...

A: We will find the required.

Q: Find B so that AB = 1 = BA, where A = 3 4 5 7

A:

Q: Given a = (-5,7) and u = (9, -4), find 3ã + 4ū. 3a + 4ū =

A:

Q: Let A = 36 58 and B = Find -3A+ 3B. -7 7 -84

A: A = 3658 and B =  -77-84 -3A = -3 3658 = -9-18-15-24 3B = 3 -77-84 = -2121-2412

Q: H.W -2t o g+8g+254 =で9O20,j020

A: Given the second order differential equationy"+8y'+25y=e−2t

Q: 6.) Simplify: -2.5(-2b+ 3) – 6b

A:

Q: 3c². 2c +4c² = c(7c — 2) - Select one: O True O False

A:

Q: Find integers q (quotient) and r (remainder) when an integer a is divided by the integer b.  a. a =…

A: We have to find the integers q (quotient) and r (remainder) when an given integer a is divided by…

Q: Anna Maria, a student in business administration, is trying to decide which management science…

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Q: If 92m-n ! and 73m-2n :49, the values of m and n are

A:

Q: 1. Consider the algebraic expression 6n³-n²+5 -11 8 a. How many terms are there? b. Identify the…

A:

Q: Farmer Jim plants apple trees in a square pattern. To protect the apple trees against wind, he…

A: The problem can be simply solved by observing patterns of the red and green dots.

Q: 口 1. Simplify:-4(a+b)+5(a-b). O a- 96 O-9a - 9b O-8ab -4a-46+5a- 5b

A:

Q: The order of (3, 4) in Z4 × Z10 is  a. 4 b. 12 c. 40 d. 5 e. 20

A: The objective is to find the order of 3,4 in Z4×Z10 First find the order of 3 in Z4, then find the…

Q: 5 Let A = -7 7 0 and B= 3 3 - - -3 1 0 Find 2A + 6B. -2A + 6B = 065 1 12 -5 5 -1 - 1 3

A:

Q: b) Find P(A or B) P(A or B) = P(A) + P(B) - P(A and B) = ANSWER E 178 120 + 250 250 e) Translate (b)…

A: Probability is a chance factor, which can occur any outcome of the random experiment.…

Q: = B=( nds 2A – 38. Sean A %3D y B = Finds 2A 3B.

A:

Q: Which expression is equivalent to 8a3 +? O (2a - c)(4a? + 4ac+ c) P (2a + c)(4a? - 2ac+ c) 2ас + c?)…

A: SOLUTION-

Q: b. If a o b = a + 2b and a * b = a´ - b, find (203) * 4. %3D c. If a * b = a´ - i. (405) * 6 ii. 4 *…

A:

Q: +4 da = +2 Select one: + 2x + C a. + 4 In a+2 +C b. C. 2x + 8 In a + 2| + C O d + 4x ) In a + 2|+C

A:

Q: 4. Simplify each expression. Show your work. a. (r² + 14r + 38) ÷ (r+8) (-5k² + k³ + 8k + 4) b. -1+k

A: A rational expression is like a fraction which is the ratio of two polynomials or functions. A…

Q: A(–8, 3), B(–8, −2), and C(–2, 3)

A:

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

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A: The given expression is

Q: The tour described in problem 1 traced out a quadrilateral. Find the number of square miles that…

A: Given, Coordinates of point A = (0, 0) Coordinates of point B = (400, 300) Coordinates of point C =…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.