C AC is a straight segment.

Q: ontrapositive statement

A: Given that  Statement that  "if today is the longest day of the year, then the summer solstice…

Q: Show that among a group of 621 people, there are at least 21 who are born on the same day of the…

A: Given 620 people was born in the same month .without loss of generality , assume that the month…

Q: Describe the circumstances in which post tests are used, and exlain why these tests are neccasary

A:

Q: In how many ways can ten keys be put on a key ring? 10! 10!-10 10!/2 2-10! 10!/10

A: Answer is 10!/10. Last option is correct.

Q: * DeMoivre's Theorem 4 (4(os 30 + ) i sin 30

A:

Q: Jeremiah has six boxes of six different sizes. Four boxes are taken at a time and arranged in…

A: Given that, Jeremiah has six boxes of six different sizes. Four boxes are taken at a time and…

Q: 1) 6 x 3D5× 6 2) (9 xx4 = _x (2 x 4) 3) (1 x 4) x 0= _x_x 0) 4) 17 + = 19 + 17 5) (13 + 6) + 7 = 13+

A:

Q: How many four-letter code words are possible using the letters in IOWA if, (a)The letters may not…

A:

Q: Theorem 1. For every prime p, Vp is irrational. Proof. Write your proof here...

A:

Q: How many different license plates are possible if a state uses Two letters followed by a four-digit…

A:

Q: 4(cos 40+ isinug) • 4 (us 110 + isin 5) leave ansuers in trigonometric form

A: r(cos θ+i sinθ)= r ei θ

Q: Find the 9 terms of GP 3,6,12,24,..

A:

Q: 6) You may answer the following questions using the appropriate C(n,r)'s and or P(n,r)’s. It is NOT…

A: Part (a) Letter available = 26 Digit available = 10 Then, Password having 5 different letter and 3…

Q: You are a member of the BCC Math Club. The club has 15 members. a) How many different ways are there…

A: a)given,           club has 15 members here n=15(total numbers)           we need to select the…

Q: Develop a divisibility test that will work for 45. Then prove your divisibility test for the…

A: The objective here is to develop a divisibility test of 45.A quick observation of the multiplication…

Q: In one state, each automobile license plate shows three letters followed by two digits, or two…

A: The number of letters in alphabet is 26. The number of digits from 0 to 9 is 10.

Q: Can these two trangles be proved congruent, if so what postulate can be used?

A:

Q: Suppose your professor wants you to choose 5 exercises from an exercise set containing 55 exercises.…

A: There is a set of 55 exercises.

Q: Suppose you have 5 different flags available to make a signal.  How many ways can this be done if…

A: Given,Total no.of flags=5

Q: Assume a country has 3-digit area codes that all have 0 or 1 as the middle digit, do not have 0 or 1…

A: Solution: From the given information, 3-digit area code should be formed. The first digit do not…

Q: b) If 7m is an odd number, then m is an odd number. (Use the îndirect proof approach).

A: To show: If 7m is an odd number, then m is an odd numberby using the indirect proof approach.Note…

Q: Use Excel to find the regression line, the correlation coeffient r and the coefficient of…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Which additional statements are required to prove △ABC≅△LKM△ABC≅△LKM using the SAS postulate, if…

A:

Q: If you take any 3 digit number (ex. 123) and rewrite it as a 6 digit number by repeating the same 3…

A: To prove that taking any 3-digit number (where , , and are digits), rewriting it as a 6-digit…

Q: 3. Use truth tables to verify the commutative laws a) pvqqv p. b) p^q=q^p.

A: What is Logical Equivalent Statement: A sentence that can be either true or untrue is a mathematical…

Q: In how many ways can you answer a true-false exam that has 5 questions

A: Given that Number of true-false questions are 5 To find Total number of ways to answer questions

Q: 11.) Pick 2 of the 4 to answer. Remember to show all your work!! Identify knowns, unknowns, and any…

A:

Q: A computer password is required to be 6 characters long. How many passwords are possible if the…

A: Combination is used to take the r things out of n things without repetition. It is denoted as .

Q: 4. Do a direct proof using domain knowledge: An odd integer minus an even integer is odd.

A: Given that: Odd integers and even integers. To show : The odd integer minus the even integer is odd.…

Statements and Logic

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