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3 years ago

Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the

Mathematics

1 answer:

Ber [7]3 years ago

8 0

P = -2x^2 + 8x + 2

for maximum P, dP/dx = 0

dP/dx = -4x + 8 = 0

4x = 8

x = 2

The company should produce 2,000 units per week to earn maximum profit.

Maximum profit = -2(2)^2 + 8(2) + 2 = -8 + 16 + 2 = 10

Therefore, the maximum weekly profit is $1,000.

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Which number is a factor of 84?

Blababa [14]

Answer:

Step-by-step explanation:

Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

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3 years ago

Read 2 more answers

The sum of two numbers is 44, and the larger number is 2 more than the smaller number. What is the smaller number?

leonid [27]

S + L = 44 and L = S +2

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3 years ago

Assume you have such a watch. if a minimum of 18.0% of the original tritium is needed to read the dial in dark places, for how m

laila [671]

Given that the half life of 3H is 12.3 years.

The amount of substance left of a radioactive substance with half life of $t_{ \frac{1}{2} }$ after t years is given by

$N(t)=N_0\left(\frac{1}{2} \right)^{ \frac{t}{t_{\frac{1}{2}} }$

Therefore, the number of years it will take for 18% of the original tritinum to remain is given by

$18 \% = 100 \% \left(\frac{1}{2} \right)^{ \frac{t}{12.3}} \\ \\ \Rightarrow\left(\frac{1}{2} \right)^{ \frac{t}{12.3}} =0.18 \\ \\ \Rightarrow\frac{t}{12.3}\ln\left(\frac{1}{2} \right)=\ln0.18 \\ \\ \Rightarrow\frac{t}{12.3}= \frac{\ln0.18}{\ln\left(\frac{1}{2} \right)} = \frac{-1.715}{-0.6931} =2.474\\ \\ \Rightarrow t=2.474(12.3)=30.4$

Therefore, the number of <span>years that the time could be read at night is 30.4 years.</span>

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4 years ago

NEED HELP!!! Please answer the question! WILL GIVE BRANILY! 15 POINTS!!!

rewona [7]

Answer: D. Cannot be determined.

If Angle 3 were not included, the answer would be A, 360°

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Here, angles 4 and 5 are supplementary. No need to know their exact measurements. Together, their sum is 180°

Angles 1 and 2 are also supplementary, another 180°

But we don't know the measure of angle 3, so getting an exact sum is impossible here.

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3 years ago

Abcd please help!!!!

Gnom [1K]

The angle VXU is larger than a 90 degree angle half of an exact straight angle (180 degrees) so it’s obtuse. The only angle larger 90 degree is D :)

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3 years ago