Zero product property

Identity property of multiplication, distributive property of multiplication, associative property of multiplication, array, equal groups, repeated addition, doubles, multiple, product, factor, zero property of multiplication

Explain how a factor of zero or one affects the product

Product, quotient, "power to a power", zero, and negative exponents.

Based on the PowerPoint you shared, here is a simple quiz focusing on vocabulary, exponent laws, and identifying function types. --- Quiz: Exponent Laws & Rational Exponents (3.1–3.3) Multiple Choice (5 questions) Choose the correct answer. 1. In the expression 5^3, the number 3 is called the a) base b) power c) exponent d) coefficient 2. Which law of exponents would you use to simplify (x^2)^3? a) Product rule b) Quotient rule c) Power of a power rule d) Zero exponent rule 3. According to the zero exponent law, 7^0 = a) 0 b) 1 c) 7 d) undefined 4. If the first differences in a table of values are constant, the function is a) linear b) quadratic c) exponential d) not a function 5. Which expression is equivalent to \frac{2^5}{2^3}? a) 2^2 b) 2^8 c) 2^{15} d) 2^{-2} True or False (5 questions) Write T for true or F for false. 1. When multiplying powers with the same base, you add the exponents. 2. A negative exponent means the answer will always be negative. 3. For an exponential function, the ratios of consecutive y-values are constant. 4. The power 16^{\frac{1}{2}} is equal to 8. 5. The quotient rule for exponents says \frac{x^a}{x^b} = x^{a-b}. Completion (2 questions) Fill in the blank with the correct term. 1. The _____________ rule states that when raising a power to another power, you multiply the exponents. 2. If the second differences in a table of values are constant, the function is ______________. --- Answer Key Multiple Choice 1. c) exponent 2. c) Power of a power rule 3. b) 1 4. a) linear 5. a) 2^2 True or False 6. T 7. F (a negative exponent indicates a reciprocal, not a negative value) 8. T 9. F (16^{\frac{1}{2}} = \sqrt{16} = 4) 10. T Completion 11. power of a power (or power rule) 12. quadratic

1. Absolute Value - The magnitude of a number or the distance from 0 on a real number line. 2. Addend - Any number or quantity being added. (addend + addend = sum) 3. Algorithm - Step-by-step process to accomplish a task. 4. Difference - The amount that remains after one quantity is subtracted from another. (The answer to a subtraction problem) 5. Dividend - A quantity or total to be divided. (dividend ÷ divisor = quotient) 6. Divisor - The number per group by which the dividend is to be divided. 7. Factor - A number that is multiplied by another number. 8. Integers - A set of numbers that includes natural numbers, their opposites, and zero. (… -3, -2, -1, 0, 1, 2, 3 …) 9. Product - The result of a multiplication expression (the answer to a multiplication problem) 10. Quotient - The result of the division of one quantity by another (the answer to a division problem) 11. Rational Numbers - Numbers that can be expressed

Le microplastiche Le microplastiche rappresentano il 20% delle 8 milioni di tonnellate di plastica che finiscono negli oceani ogni anno le più comuni sono le microfibre provenienti per la maggior parte da capi di abbigliamento sintetici l'università di Newcastle ha studiato per oltre 50 anni le acque del Mare del Nord facendo luce sull'impatto del cambiamento dei microrganismi dei livelli di nutrienti e del riscaldamento globale ma ora i ricercatori stanno utilizzando i campioni d'acqua raccolti per analizzare una crescente invisibile minaccia che sta colpendo i nostri oceani: le microfibre di plastica. Alla radice del problema c'è l'industria tessile. che produce più di 40 milioni di tonnellate di prodotti sintetici l'anno. La grande maggioranza sono vestiti, realizzati in poliestere, un materiale che ha molti benefici, viene utilizzato per lo sport e l'attività all'aperto, si asciuga bene, è economico, ma la sua resistenza rende difficile la sua decomposizione. Ecco cosa succede ogni volta che indossiamo un capo realizzato con fibre sintetiche. Cosa ti fa pensare la parola poliestere? Agli abiti degli anni settanta? Alle camicie inamidate? Una volta era così, oggigiorno lo indossano tutti.” I pantaloncini per yoga, maglioni di lana, l’intimo” sono fatti tutti con fibre sintetiche come Il poliestere più poliestere vuol dire maggiore richiesta per i materiali che lo producono, ma non servono nuovi materiali, alcune aziende producono in poliestere da materiali usati come le bottiglie di plastica. Ogni giorno si consumano miliardi di bottiglie di plastica, e questo è il problema. Certo la soluzione sarebbe usare meno plastica, ma mentre si cerca di diluire il consumo di plastica alcune aziende trasformano le bottiglie in oggetti che ci piacciono. Bevete, gettate la bottiglia, fatela riciclare, tagliatela, tessetela, indossatela, lavatela, indossatela di nuovo, lavatela di nuovo, sembra la soluzione perfetta No? Ma se ci pensiamo meglio in questo comportamento si nascondono molti problemi: Il primo è che la gente potrebbe usare più plastica usa e getta, pensando che venga riciclata continuamente. Ma c'è un altro problema, un micro problema, che si somma a tutti gli altri: ogni volta che si lavano le fibre sintetiche, sia che si ricavano da bottiglie riciclate o da materiali nuovi dei minuscoli pezzetti di plastica le microfibre finiscono nello scarico dell’acqua, quindi dopo centinaia di migliaia di lavaggi i nostri capi si disintegrano. Più vecchi sono peggio è. Il problema maggiore è che queste fibre sono così piccole che non sempre vengono filtrate negli impianti, finendo nei fiumi, nei laghi, nell'oceano, una volta nell'oceano agiscono come spugne risucchiando gli altri agenti inquinanti, sono come delle piccole bombe tossiche, cariche di olio per motori, pesticidi, sostanze chimiche industriali, che finiscono nello stomaco dei pesci e quindi nei nostri. Si stima che ce ne siano 1,4 milioni di trilioni negli oceani cioè 200 milioni di microfibre a persona. Questo è l'altro lato della medaglia, di quella che sembravano soluzione al problema, sarebbe il caso che queste aziende ripartano da zero, perché se è vero che possiamo lavare meno i nostri vestiti o evitare di comprare abiti sintetici non possiamo risolvere il problema senza di loro, se vogliamo che la questione diventi una priorità di queste aziende, dobbiamo farci sentire, troviamo una soluzione reale per rendere i nostri vestiti sicuri per l'ambiente sicuri per gli oceani e sicuri per noi.

Measuring the Effectiveness of police strategies and operations Clearance rates Def: The proportion of incidents known to the police that result in teh identification of a suspect Crime Displacement Def: relocation-due to the effective crime prevention, crime response initiates criminal activity from one local to another Professional Model of Policing Model of police work, reactive, incident driven and centred on random patrol Three Rs: random patrol, rapid response and reactive investigation Community policing Def: policing centred on police-community partnership and problem-solving The three ps: prevention, problem solving and partnership with the proactive role Community-based strategic policing Def: The model incorporates community policing with prevention, crime response and crime attack approaches Community engagement, police services strategic in their policies and operations Crime Analytics Sophisticated programs, and crime maps, provide intelligence to police officers in patrol and investigative units Intelligence-led policing: guided by collection, and analysis of information informs police decision-making Compstat: Increase effectiveness, and efficiency of police service while holding police personnel accountable for crime reduction Predictive policing: statistical analysis, identify time and location likely to occur Limited analytical capacity and not able to provide their officers with real-time information Biased policing certain areas, or persons, being identified as important for police attention in predictive policing How Predictive Policing Software Works The Police and the community Public Attitudes toward and Confidence in the police Community-based strategic policing: Recruitment, and deployment of volunteers in community police stations, storefronts Foot and bike patrols Team policing Restorative Justice Approaches Alternative for addressing, and resolving crime, needs of victims, offenders and the community Victim offender meditation Circle sentencing Community holistic healing programss Family group conferences Crime Prevention and Response Strategies Crime Prevention progemas Aimed at reducing crime, generating community involvement and heightening citizens; perceptions of safety Primary crime prevention programs opportunities for criminal offences and alter those conditions Secondary crime prevention programs focus on areas that produce crime and disorder Tertiary crime prevention programs are designed to prevent youth and adults from reoffending The Broken Windows Approach If minor crimes are left unaddressed in an environment, more serious crimes will emerge (originated in New York City in the 1980’s) “The exictsnce of unchecked and uncontrolled mirror incivilites in a neighbourhood- for example, panhandling, public drunkenness, vandalism and graffiti-produces an atmosphere conducive to more serious crime.” R.H. Burke Zero tolerance policing Zero tolerance policing: Strict order maintenance approach- specific area, coupled with high police visibility and presence Quality of life policing: Increased police visibility improves conditions in an area by targeting disruptive and annoying behaviour Problem Oritented policing (POP) Strategy, the idea that police should address teh cause of recurrent crime and disorder Root causes of recurring problems Solutions to problems Collabortaion with community SARA (scanning, analysis, response and assessment) problem-solving model helps officers identify, and respond to problems with the assistance of agencies, organizations, community groups The Police and Vulnerable/ At risk groups Persons with Mental Illness Patrol officers encountering more and more persons with mental illness (PwMi) Number of these end trragically Number of incidents increased significantly following deinstitutionalization of the mentally ill - in 1960 and 1970 De facto (in fact) mental health workers, first responders Crisis intervention training (CIT) Assertive outreach teams Assertive community treatment (ACT) teams Indigenouse, Vulnerable, and Marginalized women Sexual assault one of most underreported crimed. 1 in 20 incidents report to police. Many Women Do not want to deal with police Believe police would not take allegation seriously Language, cultural barriers Distrust the police Fear repercussions Missing and Murdered Indigenous women Canada, unknown number of missing and murdered indigenous women 2016, federal government announced National inquiry into Missing and Murdered Indigennouse women and girls Three goals of MMIWG 1. Finding the truth 2. Honouring the truth 3. Giving life to the truth as a path of healing

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