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NARA [144]
3 years ago
11

Factor completely. 81x^2+180x+100

Mathematics
1 answer:
Tasya [4]3 years ago
8 0

(9x+10)² or (9x+10)(9x+10)

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Mr. Brown chooses a fiction book at random from a list of books and then chooses a second fiction book from those remaining.
fgiga [73]
Independent would be when Mr. Brown chooses a fiction boom at random from a list of books.

Dependent would be when Mr.Brown then chooses a second fiction. book from those remaining.
5 0
3 years ago
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The demand function Q and cost function C(Q) of a commodity are given by the equations \[ Q = 20 - 0{,}01P\]
BartSMP [9]

The total revenue of the function is the product of the quantity and the price

The total revenue in terms of P is TR = 20P - 0.01P^2

<h3>How to determine the total revenue?</h3>

The demand and the cost functions are given as:

Quantity function, Q = 20 - 0.01P

Cost function, C(Q)=60+6Q

The total revenue is calculated as:

TR = Q * P

Substitute Q = 20 - 0.01P in the above equation

TR = P * [20 - 0.01P]

Evaluate the product

TR = 20P - 0.01P^2

Hence, the total revenue in terms of P is TR = 20P - 0.01P^2

Read more about total revenue at:

brainly.com/question/25623677

3 0
2 years ago
a nut mixture of peanuts and macadamia nuts at a small fair is $1.00 per pound of peanuts and $3.26 per pound of macadamia nuts.
Studentka2010 [4]
This answer seems really hard but just don't overthink it. You pretty much don't have to do any math. It took me forever to do this because I was thinking so hard but i re-read it and the answer was right infront of me.

1.00p + 3.26n = $248.52
6 0
3 years ago
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Are 1/3 and 3/6 equal equivalent fractions?
Pavlova-9 [17]
Yes they are equivalent fractions
7 0
3 years ago
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A tour operator has a bus that can accommodate 20 tourists. The operator knows that tourists may not show up, so he sells 21 tic
dalvyx [7]

Answer:

The expected revenue of the tour operator is 985.

Step-by-step explanation:

There are two outcomes:

Either less than 21 tourists show up and the operator does not have to pay anything. Or 21 tourists show up and the operator has to repay 100.

Anyways, initially he gets the price of all the tickets sold. That is 21 each at 50, so R = 21*50 = 1050.

Then, we need to find the probability that all of the 21 tourists show up. In this case, we have to subtract 100 from the revenue.

Each tourist has a 0.02 probability of not showing up. This means that each has a 1-0.02 = 0.98 probability of showing up. So the probability P that all 21 tourists show up is P = (0.98)^{21} = 0.6542.

So, the expected revenue of the tour operator is

R = 1050 - 100P = 1050 - 100(0.6542) = 984.58

Rounded up, the expected revenue of the tour operator is 985.

6 0
3 years ago
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