Other Questions from Jan 02,2025

Browse the Other Q&A Archive for Jan 02,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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1- General Science Which measurement can be used to determine if earplugs are needed when working in a factory? A watts B amps C decibels D delta waves Security Clearances Your work group is responsible for issuing employee security clearances for access to high security areas, restricted areas, and general access areas. You may issue a clearance only when the requirements listed below have been fulfilled. For high-security areas a. Full-time employees with clearance for Restricted Areas must submit Form 575-A and receive supervisory approval. b. Full-time employees without clearance for Restricted Areas must submit Form 575-B and receive departmental approval. c. Part-time employees must submit Form 575-C and pass a full background check. For restricted areas a. Full-time employees must submit Form 572-A and receive supervisory approval. b. Part-time employees must submit Form 572-C and pass a full background check. For general access areas All employees must pass a basic background check. A part-time employee has passed a full background check and submitted Form 572-C. For which area(s) may clearance be granted? Exercise 8. Write the following propositions using quantifiers: 1. The square of any real number is positive. 2. Some real numbers are strictly greater than their square. 3. No integer is greater than all the others. 4. All real numbers are not quotients of integers. 5. There is an integer that is a multiple of all the others. 6. Between two distinct real numbers, there is a rational number. Exercise 9. Socrate says: "If I'm guilty, I must be punished: I'm guilty. Thus I must be punished." Is the argument logically correct? Exercise so. Translate the following sentences into predicate language. Preserve as much structure as possible. 2. All plumbers are men; 2. Peter is rich; 3. If Peter is a piumber. Peter is rich; 4. Some plumbers are not rich: Sea la aplicación lineal \( T: \mathbb{R}^{3} \rightarrow \mathbb{R}^{3} \) definida mediante \[ (x, y, z) \rightarrow T(x, y, z)=(x+2 y+z, 3 x+y+2 z, 3 x+2 y+2 z), \] probar que es invertible y hallar la matriz asociada a la aplicación lineal \( T^{-1} \). If \( A \) and \( B \) are two non-empty sets, write the relation between \( n(A \times B) \) and \( n(B \times A) \). (i) Suppose that \( u+v=w \). With the aid of a diagram, or otherwise, explain why us a unit vector that is parallel to \( w \). (ii) Given instead that each of the three vectors is perpendicular to the sum of the other fwo vectors, find the exact value of \( |u+v+w| \) Symbolic translation of conditional and biconditional statements: Basic Consider statements \( p \) and \( q \). \( p \) : There are birds at the zoo. \( q \) : There are lions at the zoo. For part (a), fill in the symbolic form. For part (b), choose the descriptive form. Descriptive form Symbolic form (a) There are birds at the zoo if and only if there are no lions at the zoo. \( p \rightarrow \sim q \) (b) \( \square \) (Choose one) (Choose one) \( \sim q \rightarrow p \) If there are no lions at the zoo, then there are no birds at the zoo. If there are no lions at the zoo, then there are birds at the zoo. There are no lions at the zoo if and only if there are birds at the zoo. Consider statements \( p \) and \( q \). p: There are birds at the zoo. \( q \) : There are lions at the zoo. For part (a), fill in the symbolic form. For part (b), choose the descriptive form. (a) There are birds at the zoo if and only if there are no lions at the zoo. \( p \rightarrow \sim q \) Descriptive form and biconditional statements: Basic (b) \( \begin{array}{l}\text { (Choose one) } \\ \text { (Choose one) } \\ \text { If there are no lions at the zoo, then there are no birds at the zoo. } \\ \text { If there are no lions at the zoo, then there are birds at the zoo. } \\ \text { There are no lions at the zoo if and only if there are birds at the zoo. }\end{array} \sim q \rightarrow p \) Symbolic translation of conditional and biconditional statements Easic Consider statements \( p \) and \( q \). \( p \) : It is raining. \( q \) : Jessica is wearing a hat. For part (a), fill in the symbolic form. For part (b), choose the descriptive form. Descriptive form Symbolic form (a) It is not raining if and only if Jessica is not wearing a hat. (b) \( \square \) (Choose one) \( q \rightarrow p \) Symbolic translation of negations, conjunctions, and disjunctions:... Consider statements \( p \) and \( q \). \( p \) : It is snowing. \( q \) : We are going sledding. For parts (a) and (b), fill in the symbolic form. For part (c), choose the descriptive form. Descriptive form Symbolic form (a) We are going sledding or it is not snowing. (b) It is not snowing or we are not going sledding. \( \square \) (c) \( \square \) (Choose one) \[ \sim(q \wedge p) \] It is not the case that "it is snowing or we are going sledding". \( \square \) We are going sledding and it is snowing. Explanatic It is not the case that "we are going sledding and it is snowing".
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