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german
3 years ago
7

Condensing Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as the logarithm of a

single quantity.
4[In(x3 - 1) + 2 In x - In(x - 5)]
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

Answer:

4ln [\frac{x^2 (x^3-1)}{x-5}]

Step-by-step explanation:

For this case we have the following expression:

4[ln(x^3-1) +2ln(x) -ln(x-5)]

For this case we can apply the following property:

a log_c (b) = log_c (b^a)

And we can rewrite the following expression like this:

2 ln(x) = ln(x^2)

And we can rewrite like this our expression:

4[ln(x^3-1) +ln(x^2) -ln(x-5)]

Now we can use the following property:

log_c (a) +log_c (b) = log_c (ab)

And we got this:

4[ln(x^3-1)(x^2) -ln(x-5)]

And now we can apply the following property:

log_c (a) -log_c (b) = log_c (\frac{a}{b})

And we got this:

4ln [\frac{x^2 (x^3-1)}{x-5}]

And that would be our final answer on this case.

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Thank you!!!!!!!!!!!!!!!
OverLord2011 [107]

Answer:

Binomial distribution requires all of the following to be satisfied:

1. size of experiment (N=27) is known.

2. each trial of experiment is Bernoulli trial (i.e. either fail or pass)

3. probability (p=0.14) remains constant through trials.

4. trials are independent, and random.

Binomial distribution can be used as a close approximation, with the  usual assumption that a sample of 27 in thousands of stock is representative of the population., and is given by the probability of x successes (defective).

P(x)=C(N,x)*p^x*(1-p)^(n-x)

where N=27, p=0.14, and C(N,x) is the number of combinations of x items out of N.

So we need the probability of <em>at most one defective</em>, which is

P(0)+P(1)

= C(27,0)*0.14^0*(0.86)^(27) + C(27,1)*0.14^1*(0.86^26)

=1*1*0.0170 + 27*0.14*0.0198

=0.0170+0.0749

=0.0919


4 0
2 years ago
On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for a
Paul [167]

Answer:

31 children and 290 adults

Step-by-step explanation:

Let a = number of adults and c = number of children.

a + c = 321

2a + 1.75c = 634.25

Multiply both sides of the the first equation by -2 and add it to the second equation.

         -2a -     2c = -642

(+)       2a + 1.75c = 634.25

--------------------------------------

                 -0.25c = -7.75

Divide both sides by -0.25

c = 31

Use the first equation to find a.

a + c = 321

Substitute 31 for c.

a + 31 = 321

Subtract 31 from both sides.

a = 290

Answer: 31 children and 290 adults

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2 years ago
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Perimeter= 2 ( length + width)
2×(12+6)
2×18
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I need help asap please help!!
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Answer:

1) 2-0/0-1 = - 2

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