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3 years ago

What is the truth value for the following conditional statement p:false q: true ~p ~q

Mathematics

1 answer:

Murrr4er [49]3 years ago

8 0

The answer has to be false

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Corey spent 20% of his savings on a printer at Louie's ElectronisHow much did Corey have in his savings account before he bought

Crank

(printer cost) = 0.20 * (savings)
(printer cost)/0.20 = (savings)

savings = 5*(printer cost)

Whatever the cost of the printer was (information not supplied here), Corey's savings was 5 times that amount.

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3 years ago

You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

bonufazy [111]

Answer:

a) The demand function is

$q(p) = -4 p + 107$

b) The nightly revenue is

$R(p) = -4 p^2 + 107 p$

c) The profit function is

$P(p) = -4 p^2 + 133.75 p - 939$

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

Step-by-step explanation:

a) Lets find the slope s of the demand:

$s = \frac{79-43}{7-16} = \frac{36}{-9} = -4$

Since the demand takes the value 79 in 7, then

$q(p) = -4 (p-7) + 79 = -4 p + 107$

b) The nightly revenue can be found by multiplying q by p

$R(p) = p*q(p) = p*( -4 p + 107) = -4 p^2 + 107 p$

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

$P(p) = R(p) - C(p) = p*q(p) = -4 p^2 + 107 p - (-26.75p + 939) = \\\\-4 p^2 + 133.75 p - 939$

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

$r_1, r_2 = \frac{-133.75 \,^+_-\, \sqrt{133.75^2-4*(-4)*(-939)} }{-8} = \frac{-133.75 \,^+_-\, 53.526}{-8} \\r_1 = 10.03\\r_2 = 23.41$

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

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3 years ago

What is the prime factorization of 40?<br> 1. 2x5<br> 2. 2x20<br> 3. 2x2x2x5<br> 4. 2x2x4x5

noname [10]

Answer: number 3 is the answer

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3 years ago

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There are 43 pine trees currently in the park. Park workers will plant more pine trees

Luden [163]

Answer:

20 pine trees

Step-by-step explanation:

No of pine trees today = 63

No of pine trees there = 43

So no of pine trees planted today= 63-43= 20

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2 years ago

What is the product of -1/2 x 1/8 in simplest form

hjlf

Answer: Edit: -0.0625

Step-by-step explanation:

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2 years ago

What is the truth value for the following conditional statement p:false q: true ~p ~q​

What is the truth value for the following conditional statement p:false q: true ~p ~q