4) a. If 35! = x, then find 33! in the term of x (without using calculator).

Q: Suppose that B and Care points on the number line. If BC = 13 and B lies at -4, where could be…

A: Suppose that B and Care points on the number line. If BC = 13 and B lies at -4, where could be…

Q: What can you conclude about the numbers m and n if X " = 7 and r is an even number and m and n are…

A: The number that is divisible by 2 is called the even number and the number that is not divisible by…

Q: b. Write the set of natural numbers less than 23 needed) orete answ ers aS

A:

Q: So A is correct? and you are sure 100%?

A: Yes. Option (A) is correct.

Q: Suppose that B and C are points on the number line. If BC = 7 and B lies at - 5 , where could C be…

A:

Q: 2. How may rearrangements of the word BOOKKEEPER are possible assuming that (a) two E's appear…

A: Given word "BOOKKEEPER" The number of times O in word =2The number of times K in word =2The number…

Q: )Is 6 consistent for 0?

A: part D) Condition for consistency: Pθ^-θ≤∈→1 as n→∞. From the given information, H=αβ Therefore,…

Q: -6 B) [ x In(x) 12

A: First I have used the property of logrithmic and made the integral easy and then by substitution…

Q: 14)If the numbers On are and an= 3an defined by a= I , --20- for nz3, faoce that

A: We will first write the given recurrence relation  in homogeneous form then find its characteristic…

Q: Show that /2, /3, 5 cannot be the terms of a single A.P.

A:

Q: If n E N and n < 2000, how many numbers n have the property that the sum of the digits of n and the…

A: Here n  N and n&lt; 2000. So, n= 1,2,3,........,1999.

Q: 22. If 6log2x =18 , then x is

A:

Q: What is the result of logs 25=3x-3? О 35 O 5/3 O 3/5 O -5/3

A:

Q: If 48 ÷ x is a positive integer and x is an integer, what are the possible values of x?

A: We have to find interger

Q: ind p hat if x is 7 and n is 10

A: The provided information are: Number of success (x) = 7 Number of trials (n) = 10

Q: Q)1 a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: Q1) a) There are 10 digits 0,1,2,3,4,5,6,7,8,9. The 3 digit passcodes must be formed such that first…

Q: =) OR Q(6) -) AND Q(3) -) AND Q(6) -) AND Q (5)

A: Given p(n) is statement where n is odd That means n can be 3,5,7,9,11..  Also given Q(n) is…

Q: 2 then show that |2A-4|A If A- 4 2

A: We have to verify that 2A=4A where A=1242 and A is used to denote the  determinant of the matrix A.…

Q: If A =P-BP then B=Q-lAQ for o-1=P- True False

A:

Q: 6. How many times will the clock strike in 24 hours if it strikes only at the hours once at 1, twice…

A:

Q: Show that AB = O, even though A ≠ O and B ≠ O.

A:

Q: 8 of 22 If č = (-3, –5) and d = (-2, –6), find |47 – 2.5d|. V74 O 8/6 O 7/5 146

A:

Q: Suppose that B and C are points on the number line. If BC = 10 and B lies at - 4 , where could C be…

A:

Q: (-1)" In(nº) Σ 20. 4n n=2

A:

Q: If g (t) = d, where d is a Real number like in part 2, what happens if c = 0? Why?

A:

Q: If In a + In(z-7) = In(4x), then z = 11 %3D

A: Since you have posted more than one question we solved the first one for you. For the remaining…

Q: (9) 8 given that A has occurred

A: The conditional probability is defined as P(B | A) = P(A and B)/P(A)

Q: (7) Let S = {1- (-)" | n € N}. Determine inf S and sup S. Justify. n

A: To find the supremum and infimum of the sequence S .

Q: Under which conditions (in words) is the statement "either Eva is a high school graduate or she is…

A: To determine when P or Q is true , P, Q , the given statements

Q: Evaluate S(3) if S(r) = 4xr².

A: Given query is to find the value of S(3).

Q: 2. Determine if w = -1 is in Nul A, where 2 6. A = -3 2 -5 -4

A: Given matrix is A=264-325-5-41 The row transformation of the matrix A is, 10-1011000 The row reduced…

Q: (b) {an}, where an 1 if n is odd and an = ; if n is even. |

A: Given that an where an=1n if n is odd and an=n2 if n is even.

Q: 1 if x = 6. O True O False

A:

Q: 2 If A = 22 and B = -70 6. 10 , verify that B = s-AS, where s = -19

A:

Q: - 2 Evaluatelim x- 8x2-7x-8 O 1/9 O 27 O NONE OF THESE 1/12

A: To evaluate: limx→8x3-2x2-7x-8

Q: if m is odd and n is odd, demonstrate that m*n=odd

A:

Q: 4. Andre says that 5 +2 7 because 7 =7 Identify his mistake. Draw a picture to prove that he is…

A:

Q: If P(n) is the statement "n' + n is divisible by 3' Prove that P(3) is true but P(4) is not true.

A:

Q: a If 2" = ア,what is

A: Taking log both sides of the given equation

Q: If n E N and n< 2000, how many numbers n have the property that the sum of the digits of n and the…

A: Given that, If n∈ℕ and n&lt;2000 then calculate how many numbers n have the property that the sum of…

Q: n of the initi (0) = 2 is

A:

Q: is ' (3n– 1)? n=1

A:

Q: Suppose that A is a 7 x 15 m How can Proposition 6.2.5 h.

A: Given, an m×n matrix A, the row space of A is the column of AT:            Row(A)=Col(AT).

Q: 9o = 1, In = In-1 + 2gn-2 + + ngo-

A: Given: g0=1 gn=gn-1+2gn-2+.....+ng0

Q: -3 4 ind A-, it A = 2 3 3 -4 -2 -3 , -3 -41 O -1 -2 -3 4 2 3 12 13 O -1 -4 -2

A:

Q: if m is even and n is odd demonstrate that m*n= is even

A:

Q: show that given two numbers m and n, if m is even and n is even, then the product is even

A: Solve by using product rule

Q: ,a, = 3, a2= 4 and for n 2 3, a, = 2a,-1+ an-2 + 5, express a, in terms of n.

A: Solution

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.