7 cups; there are two cups per pint, so three and a half pints equals seven cups of milk.
R(x) = 11x - 0.025x^2
Revenue is maximum when dr(x)/dx = 0
dr(x)/dx = 11 - 0.05x = 0
0.05x = 11
x = 11/0.05 = 220
The revenue will be maximum when 220000 toys are produced.
r(220) = 11(220) - 0.025(220)^2 = 2,420 - 1,210 = 1,210
Therefore, maximum revenue = $1210000
Answer:
The correct answer is C) (x - 1)(x + 30)
Step-by-step explanation:
To find this, we need to find factors of the last number (-30) that add up to the middle number (29). In order to do this, list out all of the factors of -30.
-1 and 30
1 and -30
2 and -15
-2 and 15
3 and -10
-3 and 10
Since -1 and 30 satisfy both of the parameters, we put them into their own parenthesis along with x.
(x - 1)(x + 30)
Answer:
The answer is B.
Step-by-step explanation:
Please let me know if you want an explanation for why this is the answer (comment on this). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!
This type of combination problem involves combined probability, or the chance that a specific set could be chosen based on the probability of multiple variables.
The number that could be generated follows the example:
XXYZZZZ
where X describes a letter, and Y describes a number that isn’t zero, and Z describes any number.
Two probabilities exist in this situation, depending on the circumstances of the question. By pressing any number once, only 8 letters can be used (ten digits, minus the one and two keys, since they don’t have letters). This means that the probability of this event is:
8 x 8 x 9 x 10 x 10 x 10 x 10
where the two eights are for the letters, the nine is for the digit that isn’t zero, and the tens are for any numbers from the keypad. This permutation yields 5,760,000 choices.
If you are allowed to press the numbers more than once to generate a letter, then the probability changes to account for the entire alphabet. The new probability of this event is :
26 x 26 x 9 x 10 x 10 x 10 x 10
where this permutation yields 60,840,000 choices.
Hope this helps!
