4. Restate each proposition in the form p rarr q . A. Joey will pass the

philosphy111of 2021-11-08 Answered
4. Restate each proposition in the form \(\displaystyle{p}\rightarrow{q}\). A. Joey will pass the symbolic logic exam if he studies hard. B. A sufficient condition for Katrina to take the algorithms course is that she pass discrete mathematics. C. A necessary condition for Fernando to buy a computer is that he obtain $2000. D. When better cars are built, Toyota will build them. E. The program is readable only if it is well structured.

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Expert Answer

Ched1950
Answered 2021-11-09 Author has 1451 answers

Step 1 Hello, tha
for your question but according to our policy, I am answering the first three subparts. Please post the remaining questions again to get their answers.
\(\displaystyle{p}\rightarrow{q}\) means if p holds then q happens . A. \(\displaystyle{p}:{\quad\text{if}\quad}{J}{o}{e}\ {s}{t}{u}{d}{i}{e}{s}\ {h}{a}{r}{d}\) \(\displaystyle{q}:{h}{e}\ {w}{i}{l}{l}\ {p}{a}{s}{s}\ {t}{h}{e}\ {s}{y}{m}{b}{o}{l}{i}{c}\ {e}{x}{a}{m}\)
if Joe studies hard then he will pass the symbolic exam
Step 2
B. The given statement means it is required to pass the discrete mathematics then she can take the algorithm course.
So, \(\displaystyle{p}:{K}{a}{t}{r}in{a}\ {p}{a}{s}{s}{e}{s}\ {t}{h}{e}\ {d}{i}{s}{c}{r}{e}{t}{e}\ {m}{a}{t}{h}{e}{m}{a}{t}{i}{c}{s}\)
\(\displaystyle{q}:{s}{h}{e}\ {c}{a}{n}\ {t}{a}{k}{e}\ {t}{h}{e}\ {a}{l}{g}{\quad\text{or}\quad}{i}{t}{h}{m}\ {c}{o}{u}{r}{s}{e}\) If Katrina passes the discrete mathematics then she can take the algorithm course
C. \(\displaystyle{p}:{F}{e}{r}{n}\ {o}{b}{t}{a}in\ ${2000}\) \(\displaystyle{q}:{h}{e}\ {c}{a}{n}\ {b}{u}{y}\ {a}\ {c}{o}mp{u}{t}{e}{r}\)
If Fernando obtain $ 2000 then he can buy a computer

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Relevant Questions

asked 2021-08-08
Restate each proposition in the form \(\displaystyle{p}\rightarrow{q}\).
A. Joey will pass the symbolic logic exam if he studies hard.
B. A sufficient condition for Katrina to take the algorithms course is that she pass discrete mathematics.
C. A necessary condition for Fernando to buy a computer is that he obtain $2000.
D. When better cars are built, Toyota will build them.
E. The program is readable only if it is well structured.
asked 2021-07-29
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The probability is 0.4 that the final exam is difficult.
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asked 2021-02-08

Nested Form of a Polynomial Expand Q to prove that the polynomials P and Q ae the same \(\displaystyle{P}{\left({x}\right)}={3}{x}^{{4}}-{5}{x}^{{3}}+{x}^{{2}}-{3}{x}+{5}\ {Q}{\left({x}\right)}={\left({\left({\left({3}{x}-{5}\right)}{x}+{1}\right)}{x}-{3}\right)}{x}+{5}\) Try to evaluate P(2) and Q(2) in your head, using the forms given. Which is easier? Now write the polynomial \(\displaystyle{R}{\left({x}\right)}={x}^{{5}}—{2}{x}^{{4}}+{3}{x}^{{3}}—{2}{x}^{{3}}+{3}{x}+{4}\) in “nested” form, like the polynomial Q. Use the nested form to find R(3) in your head. Do you see how calculating with the nested form follows the same arithmetic steps as calculating the value ofa polynomial using synthetic division?

asked 2021-02-21

DISCOVER: Nested Form of a Polynomial Expand Q to prove that the polynomials P and Q ae the same \(P(x) = 3x^{4} - 5x^{3} + x^{2} - 3x +5\)
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Try to evaluate P(2) and Q(2) in your head, using the forms given. Which is easier? Now write the polynomial
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Do you see how calculating with the nested form follows the same arithmetic steps as calculating the value ofa polynomial using synthetic division?

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