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olga_2 [115]
3 years ago
9

I need help simplifying a math problem. It is (x^2 * x^-3)^4

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0
(x^2 \times x^{-3})^4 \\ \\ (x^{2-3})^4 \ / \ product \ rule \\ \\ (x^{-1})^4 \ / \ simplify \\ \\ x^{-4} \ / \ simplify \\ \\ \frac{1}{x^4} \ / \ negative \ power \ rule \\ \\ Answer: \frac{1}{x^4}
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g Given the following premises: (1) a∧(b∨a) (2) ~c→~a (3) ~g→~a (4) g→e (5)~(d∨h) Prove the Conclusion: c∧~h?
KIM [24]

Answer:

See the argument below

Step-by-step explanation:

I will give the argument in symbolic form, using rules of inference.

First, let's conclude c.

(1)⇒a  by simplification of conjunction

a⇒¬(¬a) by double negation

¬(¬a)∧(2)⇒¬(¬c) by Modus tollens

¬(¬c)⇒c by double negation

Now, the premise (5) is equivalent to ¬d∧¬h which is one of De Morgan's laws. From simplification, we conclude ¬h. We also concluded c before, then by adjunction, we conclude c∧¬h.

An alternative approach to De Morgan's law is the following:

By contradiction proof, assume h is true.

h⇒d∨h by addition

(5)∧(d∨h)⇒¬(d∨h)∧(d∨h), a contradiction. Hence we conclude ¬h.    

8 0
3 years ago
Help! It’s timed and I’m not sure
tensa zangetsu [6.8K]

Answer:

x < 0

Hope this helps!

7 0
2 years ago
Why are plus and minus signs ignored in percent error calculations?
inna [77]
<span>Percent error is the percentage ratio of the observed value and the true value difference over the true value so you don't need plus or minus signs. Thanks!</span>
8 0
2 years ago
For each day that Sasha travels to work, the probability that she will experience a delay due to traffic is 0.2. Each day can be
lions [1.4K]

Answer:

0.8213

Step-by-step explanation:

-This is a binomial probability problem given by the function:

P(X=x)={n\choose x}p^x(1-p)^{n-x}

Given that n=21 and p=0.2, the probability that she experience a delay on at least 3 days is calculated as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq 3)=1-P(X

Hence, the probability that she experience delay on at least 3 days is 0.8213

6 0
3 years ago
I = $97.30<br> P = $1,200<br> R=4.5%<br> T=
frosja888 [35]

Answer:

T = 1yrs and 8month

Step-by-step explanation:

S.I = $97.3O

S.I = PTR/100

$<u>97.30</u> = <u>$1200 × 4.5 × T</u>

1 100

Cross multiply

$5400T = $9730

divide both sides by$5400

T = 1.8yrs

8 0
2 years ago
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