1-i Get the result of the expression (1 + i)2+i

Q: (P1, Page 19; Write out the Difference of Powers Formula explicitly for n = 4 and n = 5. Example:…

A: We are asked to write difference between the powers.

Q: Example 9.6. The integers 0, 1, 1, 2, 3, 5, 8, 13, 21,...... are said to form a Fib quence. Form the…

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Q: A-(kikis a positive integer and 22 <k< 30). 22, n(A)-B

A: Given that, the set A=k|k is a positive integer and 22&lt;k&lt;30  Obtain the elements in the set A.…

Q: nula for each recursive formula an 8. a1 = -8 an = an - 1-3 %3D

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Q: 11n 1 14n -18 What is the value of n? 2.

A: Topic = Mensuration

Q: 3. Create your own two column proof. (There should be 5 steps) Given: 6x + 2(x-1) = 30 Prove: x = 4…

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Q: 12. The four fourth roots of -16.

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Q: übjs 1.5 Every natural number greater than 1 can be written as the products of prime numbers. ilan

A: Given that Every natural number greater than 1 can be written as the product of primes

Q: EST Consider this expression: 7(10a + 3b) Enter an expression that shows the sum of exactly two…

A: we have to express the given expression in sum of two terms

Q: Multiplication on the number pairs is defined as follows: (a, b) · (c, d) = (ad + bc, ac + bd).& in…

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

Q: -5 -4 -3 -2-1 012 34 5 The 24 is between which two numbers on the number line? O 1 and 2 O 2 and 3 O…

A: The number line is given by To evaluate : The two numbers on the number line between which 24 lie.…

Q: Determine if it is true or false: 4.  an = n(4n - 5)/ 2 is expressed in explicit formula.

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Q: 35-38 Find the exact value of each expression. 38. (а) е -In 2

A: To Determine: find the exact value of the expression. Given: we have e-ln2 Explanation: we have an…

Q: 4 a+h Simplify the expression: h Enter the numerator and denominator separately in the boxes below.…

A: The given expression is: 4a+h-4ah

Q: Show that (a) 8n −3n is divisible by 5 for all natural numbers n.  (b) n2 −n +41 is odd for all…

A: expansion of (a+b)n = hco an bo + nc1 an-1 b1 +.......... +ncn ao b n

Q: Using Polya's four step There are ducks and pigs in a farm. Together, there are 35 heads and 100…

A: Given: Given there are 35 heads and 100 legs in the farm Also each duck has exactly two legs and…

Q: Iblock 2 blocks 3 5 I block = 1 2blocks 3 3 blocks 6 4 blocks 10 5blocks:1S Based on the picture how…

A: Given,  Block number n Number of blocks S n = 1 Sn = 1 n = 2 Sn = 3 n = 3 Sn = 6 n = 4 Sn…

Q: The domain of the expression x / x+ 7 is:  (1) All real numbers (2) {x | x (not)= 7} (3) {x | x…

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Q: Solve this 75 + 75.175 -110 -25.882 If your answer is 66.06 and you can prove to me that the…

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Q: b-d Please!

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Q: 6. Let a, = 2- for n = 1, 2, 3, .... (a) Write the first three terms of b = an+1· (Express numbers…

A: Express bn in expression form with the help of an than put n= 1,2,3.

Q: _10. If 7-2 is raised to the power of 3, which of the following describes the result? a. a number…

A: As we know that a-b=1/ab (1/ab)c=1/abc

Q: The sum of the coefficients in the expansion of the expression (a+b)^n is 64. Use Pascal's Triangle…

A: The sum of the coefficients in the expansion of the expression a+bn is 64. Now the Pascal's Triangle…

Q: a. Evaluate (-1)' if n is i=1 even. b. Evaluate (-1)' if n is odd. i= 1

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Q: (b) 3 4 6. | | 3 7 11 13 (c) Sum of the reciprocals of all natural numbers that can be written using…

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Q: Express the product of 0.21 and 0.34 in standard form

A: Multiplication of the numbers helps to find the required product. If a number is to be converted…

Q: 1. An integer is between 110 and 120. the quotient when this number is divided by the sum of its…

A: sonution: As per guidelines, if multiple questions are posted we are allowed to solve only 1st....so…

Q: Find all excluded values for the expression. That is, find all values of v for which the expression…

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Q: Which choice represents the recursive formula for 0.4, 0.04, 0.004, 0.0004, ...? a, = 0.1 ·1. a(n–1)…

A: The given sequence is  0.4, 0.04, 0.004, 0.0004,............

Q: 3 -3 Find AA if A = 5 4 -2

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Q: a. 7+10i has argument: 0 b. -6 + 8i has argument: 0 c. 7 – 8i has argument: 0 =

A: AS PER THE RULE, I HAVE DONE THE FIRST THREE SUBPARTS.

Q: There are 18 terms in the expansion of (a-5)24 **. The value of a, where a is a natural number, is

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Q: Prove the “rule of 9”: an integer is divisible by 9 if and only if the sum of its digits is…

A: See the attachment

Q: Consider this expression: 7(10a + 3b). Enter an expression that shows the sum of exactly two terms…

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Q: A1=3 An=6n+6an-1, for n&gt;1 Find the first four terms

A: We need to put the value n=2, 3, 4 in the given expression which will provide the remaining three…

Q: whether the following integer an even or odd integer using the form 2k and 2k+1 show your solution…

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Q: 1×2×3x4x.(n–1) The expression gives a re- mainder of (n –1) if n is prime.

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Q: Identity 161 For n 2 0, Er2o (4) ()2"-2* = (").

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Q: Select ⊆or ⊈ for the blank so that the resulting statement is true. ​{−8​,5​,10​}​___ {x|x is an…

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Q: 3 1. Show that x - 3x + 1 = 0 can be arranged to give the formula: -1 X = n+1 (x-3) Using a value of…

A: We can solve this as follows:

Q: Which of the symbols below denote the operation of antidifferentiation

A: We have to find symbol of antidifferentiation.

Q: 1a) Write 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 in the form „P. 1b) Express 21C, as a sum of…

A: Here AS PER POLICY I HAVE CALCULATED 3 SUBPARTS PLZ REPOST FOR REMAINING PARTS  HERE USE…

Q: 8(7k-19)-9(2+5k) after simplifying, what number is multiplied by k

A: we have been given the expression: 87k-19-92+5k we have to determine what number is multiplied with…

Q: Write an explicit formula for the recur an = a(n-1) - 0.8; a = 1.6 )(n – 1) an

A: So in this we have to apply the standards to change into explicit form, I'm providing hand written…

Q: Qi/ Evaluate the diterminate for -2 7 3 O 2

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Q: Need assistance with these. 1. a) From the set {-5, 3+4i, 0.25, 6, 1⁄2 , √(-49), √2, 3i, -1/5, 8,…

A: Solving the questions according to the question numbers: 1) Natural number = 6,8 Rational number =…

Q: 12 What is the coefficient of ¹2 in (x+2)¹5 ? a

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Q: Find all the number for which the expression is not defined

A: This is a problem of algebra. Expression will not defined only when the denominator value is zero.…

Q: Find the particular solution of 3 (Use symbolic notation and fr

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Q: 1.5 Factorize the expression (5 - i)2 - (3 - 2i)z +eri

A: Factorization of a number or a polynomial is the process of writing the given number as the product…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.