log²(x + 5) + log²(x - 5) = log²11​

9514 1404 393

Answer:

Step-by-step explanation:

Given:

  daily cost function c(x) = x +11

  price-demand function p(x) = -0.15x +20.8

Find:

  daily profit function

  maximum daily profit

  quantity sold for maximum profit

  price for maximum profit

Solution:

The revenue is the product of price and demand:

  x·p(x) = -0.15x^2 +20.8x

The profit is the difference between revenue and cost:

  f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11

  f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function

__

The maximum profit will be had a the vertex of the curve, found where ...

  x = -(19.8)/(2(-0.15)) = 66

  f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40

The maximum profit is $642.40, when 66 gallons of ice cream are sold.

__

The price that will result in demand of 66 gallons of ice cream is ...

  p(66) = -0.15(66) +20.8 = 10.9

The price to charge per gallon to maximize profit is $10.90.

Answer

63

Step-by-step explanation:

18*3=54

18/2=9

63

Answer:

63

Step-by-step explanation:

18 divided by 4 is 4.5

4.5 times 14 is 63

Not sure if this is correct but i hope it is

Answer: he has 10 monthly

Step-by-step explanation:

see from the question

Answer:

The correct answer is D, 11 cm.

Step-by-step explanation:

Given that the third side of a triangle measures (3x-5) cm, if the length of the midline is 14 m, to determine the length of the third side and the correct option, the following calculations must be performed:

X (third side) = midline x 2

X = 14 x 2

X = 28

3X - 5 = 28

3X = 28 + 5

3X = 33

X = 33/3

X = 11

Therefore, the correct option is D: 11 cm.

Answer:

3.125%

0%

Step-by-step explanation:

A regular coin has two sides, meaning that each side has the same probability of landing which is 50%. Therefore, for the game to end exactly on the fifth flip it would need to land 3 times in a row on tails and the last 2 times on heads. Therefore, to get this probability we need to multiply 0.50 (50%) 5 times

0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125 or 3.125%

Now the probability of three heads appearing in a sequence is 0% because after the second head in a row the game will automatically end.

Part(a): The probability that the game ends by flipping exactly five coins is [tex]0.5[/tex]

Part(b):  The probability that three heads appear in the sequence is [tex]0.5[/tex].

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. How likely they are to happen, using it.

Part(a):

The Probability of games ends by flipping exactly five coins is,

[tex]P((TTTHH),(HTTHH),(THTHH),(HHTHH))=(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4[/tex]

Where [tex]p=P(H)[/tex]

When the coin is fair so the probability is,

[tex]P(H)=\frac{1}{2}[/tex]

P(game ends by flipping exactly five coins)=[tex]\frac{2^2}{2^5} =0.125[/tex]

Part(b):

The Probability of games ends by flipping exactly three heads is,

[tex]\frac{2(1-p)^2p^3}{(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4}[/tex]

Where [tex]p=P(H)[/tex]

When [tex]p=0.5[/tex] then the above probability is [tex]0.5[/tex]

Learn more about the topic of Probability:

https://brainly.com/question/6649771

Answer:

5 hours must pass

Step-by-step explanation:

Graph the equations y = 2x + 100 and y = -6x + 140

Then find the x intercept of their intersection, in this case, that is 5

Answer:

20

Step-by-step explanation:

2(5)+10=20

[tex]\huge \colorbox{pink}{Mathematics}[/tex]

2x + 10 when x = 5

[tex]2x + 10 \\ = 2(5) + 10 \\ = 10 + 10 \\ = 20[/tex]

Correct me if I'm wrong

I hope it helps ^_^

Answer:

12:45

Step-by-step explanation:

Step One: An hour after 11:20 is 12:20, plus 15 minutes is 12: 35.

Step Two: Just add 10 minutes, because it doesn't matter when you add the ten minutes.

Answer:

i think the answer would be 156° .

hope it helps you ^.^

Answer:

13

Step-by-step explanation:

Given

f(x) = 13x - 9 , then

[tex]\frac{f(x+h)-f(x)}{h}[/tex]

= [tex]\frac{13(x+h)-9-(13x-9)}{h}[/tex]

= [tex]\frac{13x+13h-9-13x+9}{h}[/tex]

= [tex]\frac{13h}{h}[/tex]

= 13

Answer:

Step-by-step explanation:

good luck

Answer:

i don know what because this makes no sense

Step-by-step explanation:

good luck

Answer:

A, resolving conflicts and negotiating with others

D,establishing and maintaining interpersonal relationships and F,communicating with supervisors, peers, or subordinates.

Step-by-step explanation:

Answer:

its A,B,D,F

developing objectives and strategies

assisting and caring for others

establishing and maintaining interpersonal relationships

interpreting the meaning of information for others

Answer:

0 não é um número natural.

Step-by-step explanation:

0 não é positivo ou negativo. Como todos os números naturais são inteiros positivos, não podemos dizer que 0 é um número natural.

Answer:

A sample of 595 should be obtained.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Estimate of 0.55

This means that [tex]\pi = 0.55[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What sample size should be obtained if she wishes the estimate to be within a margin of error of 0.04?

This is n for which M = 0.04. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.55*0.45}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.55*0.45}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.55*0.45}}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.55*0.45}}{0.04})^2[/tex]

[tex]n = 594.2[/tex]

Rounding up,

A sample of 595 should be obtained.

Answer:

A

Step-by-step explanation:

Answer: 166 2/3m

Step-by-step explanation:

Area of a rectangle = length times width

Length: 16 2/3

To find the width, multiply it by 3/5.

w = 16 2/3 ·  3/5

w = 10

Then, multiply the length by the width.

a = l · w

a = 16 2/3 · 10

a = 166 2/3m

Answer:

Total volume of 80 balls = 2,263.2 inch³

Step-by-step explanation:

Given:

Diameter of lead ball = 6 inch

Number of ball need = 80

Find:

Total volume of 80 balls

Computation:

Radius of lead ball = Diameter / 2

Radius of lead ball = 6 / 2

Radius of lead ball = 3 inch

Volume of lead ball = πr²

Volume of lead ball = (22/7)(3)²

Volume of lead ball = (22/7)(9)

Volume of lead ball = 28.29 inch³ (Approx.)

Total volume of 80 balls = 80 x Volume of lead ball

Total volume of 80 balls = 80 x 28.29

Total volume of 80 balls = 2,263.2 inch³

The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.

Sine rule is used to show the relationship between the angles of a triangle and the sides opposite to the angles. It is given by:

a / sin(A) = b / sin(B) = c / sin (C)

where A, B, C are the angles and a, b, c are the sides opposite to the angles.

From the question:

let a = 8 in, A = 30°, b = 6 in, hence:

a / sin(A) = b / sin(B)

8 / sin(30) = 6 / sin(B)

B = 22°

The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.

Find out more o Sine rule at: https://brainly.com/question/4372174

Answer:

Step-by-step explanation:

the real answer is m=12:))

Answer:

I believe it's C... Not sure though...

Answer:

2.8 > 2.8< i think

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Im pretty sure its 4

Answer:

4 is the answer to the question

Answer:

3. 7/12

4. 1/3

5.1 1/2

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

Since it is vertical angles, 4x - 12 = 88.

Answer is 25

Step-by-step explanation:

88 + 12 = 100

100 / 4 = 25

Answer:

show the image so i can answer

plz put the image  so i can see cus there are two types

Answer:

m < Q = 40°

m < M = 60°

Step-by-step explanation:

1.) All angles in every triangle altogether equal 180°

From the 4 measurements, you can tell angle Q and S are equal in order to make all angles equal 180 and those angles to be equal (below)

180 - 100 = 80

80/2 = 40

2.) This is an isoceles  (all angles and sides are equal) There are three angles (divide 180 by 3)

180/3 = 60

Answer:

34.9

Step-by-step explanation:

Yes. : )

Answer:

S = [tex]\frac{36}{25}[/tex]

Step-by-step explanation:

Given expression is,

S = [tex]\sqrt[3]{[(\frac{3}{2})^{-2}+6^{-3}+(\frac{3}{2})^{-3}-6^{-1}}]^{-2}[/tex]

S = [tex]\sqrt[3]{[(\frac{2}{3})^{2}+(\frac{1}{6})^{3}+(\frac{2}{3})^{3}-(\frac{1}{6})}]^{-2}[/tex]

   = [tex]\sqrt[3]{[\frac{4}{9}+\frac{1}{216}+\frac{8}{27}-\frac{1}{6}}]^{-2}[/tex]

   = [tex]\sqrt[3]{(\frac{96+1+64-36}{216})^{-2}}[/tex]

   = [tex]\sqrt[3]{(\frac{125}{216})^{-2}}[/tex]

   = [tex]\sqrt[3]{(\frac{216}{125})^{2}}[/tex]

   = [tex]\sqrt[3]{(\frac{216}{125})\times (\frac{216}{125})}[/tex]

   = [tex]\sqrt[3]{(\frac{6\times 6\times 6}{5\times 5\times 5})\times (\frac{6\times 6\times 6}{5\times 5\times 5})}[/tex]

   = [tex]\sqrt[3]{(\frac{6}{5})^3\times (\frac{6}{5})^3}[/tex]

   = [tex]\frac{6}{5}\times \frac{6}{5}[/tex]

   = [tex]\frac{36}{25}[/tex]