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Four sets of equally spaced holes are shown in the machined plate in Figure 13-4. Determine dimensions A, B, C, and D to 2 decimal places. All dimensions are in millimeters.
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Chapter 13 Solutions
Mathematics For Machine Technology
- 1. 2. Show that the following are not logically equivalent by finding a counterexample: (p^q) →r and (db) V (d←d) Show that the following is not a contradiction by finding a counterexample: (pV-q) AqA (pv¬q Vr) 3. Here is a purported proof that (pq) ^ (q → p) = F: (db) v (bd) = (db) v (bd) =(qVp) A (g→p) = (¬¬q V ¬p) ^ (q→ p) (db) V (db) = =¬(a→p)^(a→p) = (gp) ^¬(a → p) =F (a) Show that (pq) ^ (q→p) and F are not logically equivalent by finding a counterex- ample. (b) Identify the error(s) in this proof and justify why they are errors. Justify the other steps with their corresponding laws of propositional logic.arrow_forward5 Show by multiplying matrices that the following equation represents an ellipse: 5 - -7 I (x)(3)()=30. y) 7 7)arrow_forwardNo chatgpt plsarrow_forward
- 1: Stanley Smothers receives tips from customers as a standard component of his weekly pay. He was paid $5.10/hour by his employer and received $305 in tips during the most recent 41-hour workweek. Gross Pay = $ 2: Arnold Weiner receives tips from customers as a standard component of his weekly pay. He was paid $4.40/hour by his employer and received $188 in tips during the most recent 47-hour workweek. Gross Pay = $ 3: Katherine Shaw receives tips from customers as a standard component of her weekly pay. She was paid $2.20/hour by her employer and received $553 in tips during the most recent 56-hour workweek. Gross Pay = $ 4: Tracey Houseman receives tips from customers as a standard component of her weekly pay. She was paid $3.90/hour by her employer and received $472 in tips during the most recent 45-hour workweek. Gross Pay = $arrow_forward8 √x+...∞ If, y = x + √ x + √x + √x +. then y(2) =? 00arrow_forward8 √x+...∞ If, y = x + √ x + √x + √x +. then y(2) =? 00arrow_forward
- How many different passwords are there that contain only digits and lower-case letters and satisfy the given restrictions? (a) Length is 6 and the password must contain at least one digit. (b) Length is 6 and the password must contain at least one digit and at least one letter.arrow_forward1: Neil Mitchell earns $11/hour. During the most recent week, he received a discretionary bonus of $7,200 and worked 43 hours. Gross Pay: $ 7,689.50 2: Francine Palmer earns $7.90/hour. During the most recent week, she received a nondiscretionary bonus of $2,450 and worked 45 hours. Gross Pay: $ 2,825.25 3: Martin Green earns $11.10/hour. During the most recent week, he received a nondiscretionary bonus of $1,360 and worked 51 hours. Gross Pay: $ 1,987.15 4: Melvin Waxman earns $17.60/hour. During the most recent week, he received a nondiscretionary bonus of $440 and worked 56 hours. Gross Pay: $ 1,425.60arrow_forward1: Kevin Williams earns a weekly wage of $740. During the most recent week, he worked 42 hours. Regular Wage Rate = $ 18.50 Overtime Wage Rate = $ 27.75 2: Charles Joyner earns a biweekly wage of $2,720. During the most recent week, he worked 45 hours. Regular Wage Rate = $ Overtime Wage Rate = $_ 34.00 51.00 3: Julio Valdez earns an annual salary of $81,000. During the most recent week, he worked 44 hours. Regular Wage Rate = $ Overtime Wage Rate = $ 38.94 58.41 4: Bridget Stein earns a monthly salary of $6,200. During the most recent week, she worked 56 hours. Regular Wage Rate = $ 27.50 Overtime Wage Rate = $ 41.25 5: Betsy Cranston earns a semimonthly salary of $2,200. During the most recent week, she worked 49 hours. Regular Wage Rate = $ Overtime Wage Rate = $_ 1,100.00 41.25arrow_forward
- If you are using chatgpt leave it plz Already got wrong chatgpt answer .arrow_forward4. 5. 6. Prove that p (gp) is a tautology using the laws of propositional logic. Prove that p((pVq) → q) is a tautology using the laws of propositional logic. Let us say a natural number n is ok if there are two natural numbers whose sum is n and whose product is n. (Convention: the natural numbers consist of 0, 1, 2,...) (a) Give a logical expression that means "n is ok". (b) Show that 0 and 4 are both ok. (c) Give a logical expression that means "every natural number is ok". (d) Give a logical expression that means "it is not the case that every number is ok". Push the negations into the expression as far as possible.arrow_forward7. Let E(x, y) be a two-variable predicate meaning "x likes to eat y", where the domain of x is people and the domain of y is foods. Write logical expressions that represent the following English propositions: (a) Alice doesn't like to eat pizza. (b) Everybody likes to eat at least one food. (c) Every student likes to eat at least one food other than pizza. (d) Everyone other than Alice likes to eat at least two different foods. (e) There are two different people that like to eat the same food.arrow_forward
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