1. Determine which of the following are statements, and classify each statement as either true or false.(a) President George Washington was born in (e) Close the door.Alabama.(1) 2.3=7.(g) 3x = 6.(h) Help stop inflation.(b) Good morning.(c) 5+4=9.(d) x+5=8.2. Ifp is T and q is F, find the truth values of these statements. The form~() represents the negation ofeverything inside the parentheses.(a) (~p) ^q(b) (~p) v (~q)(c) ~(pvq)3.Find the truth values of the statements in Exercise 2 if p is T and q is T.4. Find the truth values of the statements in Exercise 2 if p is F and q is F.5.In each of the parts that follow, construct two statements-one using and and the other using or-andfind the truth values of each.(d) ~ (p ^ q)(e) ~[(~p) ^q](f) ~(pv~q)(a) November has 30 days. Thanksgiving is always on November 25.(b) The smallest counting number is 2. 10 is not a multiple of 5.(c) 2+3=4+1.8.6 4.12.(d) Triangles are not squares. 3 is smaller than 5.6. Translate the following statements into symbolic form, using A, B, C, D, A, V, and ~, where A, B, C,and D denote the following statements:A. It is snowing.B. The roofs are white.C. The streets are not slick.D. The trees are green.(a) It is snowing, and the trees are green.(b) The trees are green, or it is snowing.(c) The streets are not slick, and the roofs are not white.(d) The trees are not green, and it is not snowing.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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VERBAL IF-THEN'S For each of the following, do your best to figure out if the statement is true or false. Give an explanation (or argument) justifying why you think what you think. NOTE: Each of the following refers to "a number" or “numbers". They are general statements. So, if there is any number (or numbers) for which it's false, then the statement is false. In other words, if you are thinking "that's true in some cases (or perhaps even many cases), but it's not true in all cases," then the statement is false. Warning: The word "number" does not mean "integer" or "positive integer". All integers are numbers, but not all numbers are integers. Integers are numbers like -13, -4, 0, 27, and 132. Non-integers are numbers like 2.61, - 5.8, and 55/9. The first of these is between the consecutive integers 2 and 3. The second is between -6 and -5. The third is between 6 and 7. So if you are going to test the statements by choosing a number or numbers to test it with, do not limit yourself to…
3. Here are the prices of some items and the amount of sales tax charged on each in Nevada. cost of item ($) sales tax ($) 10 0.46 50 2.30 5 0.23 a. What is the sales tax rate in Nevada? b. Write an expression for the amount of sales tax charged, in dollars, on an item that costs c dollars.
Which Decimal Squares best describe the following computations? a. 0.3 + 0.45 = 0.75 b. 0.350 – 0.2 = 0.15 с. 0.3 х 0.4 3D 0.12 d. 10 x 0.14 =1.4 e. 0.45 ÷ 0.15 = 3 f. 0.30 ÷ 10 = 0.03 %3D I. II. III.
(1 point) Simplify the following expressions: (A)-5. (B) 7 (C) 2. 5 8 6 0 06 1 8 4 1 2 0 7 8 4 4 4 6 -3 -1 1 -2 + -2 6 ⠀ 6 -2 8 -7 -4 -5 1 8 +2. 3 -3 5 7-1 = = # # # # B #
What fact family is shown in these arrays of colored counters? O A. (4) + (- 12) = - 3 O B. (- 12) - (4) = - 3 O C. (- 12) - (- 3) = 4 O D. (- 3) - (– 12) = 4 O E. (-3)• (4)= - 12 O F. (4)• (-3) = - 12 Click to select your answer(s).
24+6k<-6(-4-k)
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1. Determine which of the following are statements, and classify each statement as either true or false. (a) President George Washington was born in (e) Close the door. Alabama. (1) 2.3=7. (g) 3x = 6. (h) Help stop inflation. (b) Good morning. (c) 5+4=9. (d) x + 5 = 8.