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What is the volume of the triangular prism? Round to the nearest tenth.

Sloan [31]

Answer:

1185 bin

Step-by-step explanation:

i rounded so i and i multiply and didved and i got that i got 1185 bin

6 0

2 years ago

Mark and Jen me at the beach yesterday July 31. Might go to the beach every third day in Django ceviche before three. How many t

Savatey [412]

Answer:

The number times both Mark and Jen will be at the beach on the same day over the next 30 days is 10 times.

Step-by-step explanation:

Every third day implies that they both go the beach and then have a two day break, and then go the beach on the day after.

Put simply, every third day implies one day in three days.

Based on the above, the number times both Mark and Jen will be at the beach on the same day over the next 30 days can be calculated by dividing 30 by 3 as follows:

Number times both Mark and Jen will be at the beach = 30 / 3 = 10

Therefore, the number times both Mark and Jen will be at the beach on the same day over the next 30 days is 10 times.

5 0

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

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