Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0 R'(x) = 529-0.21-/X Write the integral that is needed to solve the problem. (529-21返) 529- .21 \x dx The demand function for the marginal revenue function R'(x)-529-0.21x is p

The length of segment PM would be 12 units

I won't proceed based on your circle's association with any specific segments; instead, I'll use the illustration below.

We can determine QM = 15, SM = 10, and RM = 18 from the image. We apply the formula for determining segment lengths when there are two chords in a circle to determine the length of segment PM.

Our equation QM = (SM)(RM) (PM)

We now enter the information and resolve: (10)(18) = (15)(x) (x)

(10)(18) = 180

(15)(x) = 15x

180 = 15x → 180 ÷ 15 = 12 & 15x ÷ 15 = x

x = 12

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Answer:

−12/17

Step-by-step explanation:

This is the answer because:

1) First, convert 2 5/6 to an improper fraction

2 5/6 = 17/6

2) Next divide -2/1 and 17/6

3) The reciprocal of 17/6 is 6/17

4) -2/1 ÷6/17 is -12/17

Hope this helps!

Answer:

Slope:\(\frac{2}{3}\)

y-intercept:-2

Step-by-step explanation:

The dimensions of the garden are 12.5 feet by 30.5 feet.

To model this situation, we can use two equations. Let the width of the rectangular garden be w feet and the length be l feet.

Then:We know that the perimeter of the garden is 90 feet because the amount of fencing used was 90 feet.Perimeter = sum of all sides2(l + w) = 90Divide both sides by 22(l + w)/2 = 45l + w = 45Now,

we also know that the length of the fence, 1, was 5 feet less than 3 times the width,

w.l = 3w - 5Substitute this equation for l in the first equation:3w - 5 + w = 45Simplify:4w - 5 = 45

Add 5 to both sides :4w = 50Divide both sides by 4:w = 12.5

Now that we know the width of the garden is 12.5 feet, we can use the equation for l to find the length:l = 3w - 5l = 3(12.5) - 5l = 30.5

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Answer:

67

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

x + 55 = 90 (Right angle triangle)

x = 90 - 55

x = 35

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Answer:87

Step-by-step explanation:added all numbers and divided by 3

The different values that could be be the greatest common divisor of the two integers are; 1, 2, 3, 4, 6

Let the numbers be a, b. Thus, the product of the GCD(a, b) and the LCM(a, b) will be ab.

Now, for us to get something to be a factor of the GCD we need to make it be a factor of both a, b. Thus, its' square must be a factor of 180.

Therefore, the only numbers whose square is a factor of 1800 are 1, 2, 3, 4, 6 and as such they are the only GCDs possible.

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Answer:

pyramid

Step-by-step explanation:

plz make me brainliest

Answer:

y = 1/3x

Step-by-step explanation:

Answer:

Step-by-step explanation:

FORMULA= P(A)=

NUMBER OF FAVORABLE OUTCOMES

-------------------------------------------------------------

NUMBER OF POSSIBLE OUTCOMES

GIVEN: 12 Guitars, 10 Bass, 9 Drums, 12 Keyboards

WANT: The probality a seventh grader chosen at randome will play drums

add all the instruments

12+10+9+12=33

there are 9 drums

FOLLOW THE FORMULA

9 3

---- = ---- SIMPLIFIES FORM

33 11

The probability of z ≤ -1.14 is 0.1271  Therefore, P(x > 42) = 1 - P(x ≤ 42)P(x > 42)

= 1 - 0.1271P(x > 42)

= 0.8729

The given normal distribution problem is, P(x > 42), where the mean = 50 and

standard deviation = 7.

Here, we have to find the probability of the given condition.

Therefore, we have to calculate the z-score for the given problem and then find the probability from the standard normal distribution table or calculator. The formula for calculating the z-score is,

z = (x - μ) / σ

Where,

z = z-scores

= value of the random variableμ

= meanσ

= standard deviation

Substitute the given values, z = (42 - 50) / 7z

= -1.14

We know that the standard normal distribution table shows the probability of the left-tailed standard normal distribution.

However, we have the probability of right-tailed distribution, and we know that the area under the curve is 1. So,

P(x > 42) = 1 - P(x ≤ 42)

Now, we will find the probability of z ≤ -1.14 from the standard normal distribution table.

The probability of z ≤ -1.14 is 0.1271

Therefore, P(x > 42) = 1 - P(x ≤ 42)P(x > 42)

= 1 - 0.1271P(x > 42)

= 0.8729

Therefore, the probability of P(x > 42) is 0.8729.

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Answer:

3. A. ten thousandths

4. C. tenths

5. D. hundredths

6. C. ten thousandths

hope you have a blessed day

Step-by-step explanation:

Answer:Question 3 answer is A.

Question 4 answer is C

Question 5 answer is D

Question 6 answer is C

YOUR WELCOME

Answer:

The answer is 0.4

Step-by-step explanation:

Answer:

The 10 rational numbers are 21/70, 22/70,23/70, 24/70, 25/70, 26/70, 27/70, 28/70, 29/70 and 30/70.

Step-by-step explanation:

Loosely speaking, a rational number is an expression of the form p/q where p and q are integers and q 0.

We obtain the 99% confidence interval for the proportion of GSU juniors who believe they will find a job immediately after graduation.

To calculate the 99% confidence interval for the proportion of GSU juniors who believe they will find a job immediately after graduation, we can use the formula: Confidence Interval = Sample Proportion ± (Critical Value * Standard Error)

First, we calculate the sample proportion, which is the number of students who believe they will find a job (2915) divided by the total sample size (3926).

Sample Proportion = 2915 / 3926 ≈ 0.7428

Next, we need to determine the critical value corresponding to a 99% confidence level. Using a standard normal distribution, the critical value is approximately 2.576.

The standard error can be calculated using the formula: Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Plugging in the values, we get: Standard Error ≈ sqrt((0.7428 * (1 - 0.7428)) / 3926)

Finally, we can calculate the confidence interval: Confidence Interval = 0.7428 ± (2.576 * Standard Error)

By substituting the values, we obtain the 99% confidence interval for the proportion of GSU juniors who believe they will find a job immediately after graduation.

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For Hegel, the highest reality or the absolute is referred to as the "Absolute Spirit" or the "Absolute Idea."

Hegel's philosophical system revolves around the concept of the dialectic, which involves the development and resolution of contradictions in a continuous process.

According to Hegel, the Absolute Spirit represents the ultimate truth or reality that encompasses and integrates all other forms of reality within it.

It is the highest stage of the dialectical process, where all contradictions are resolved and the full richness of reality is realized.

The Absolute Spirit is characterized by self-awareness, rationality, and the complete unity of subject and object. It is considered to be the ultimate source of all being and knowledge.

Hegel views reality as a dynamic and evolving process, and the Absolute Spirit is the culmination of this process.

It is important to note that Hegel's concept of the Absolute Spirit is highly abstract and philosophical in nature. It encompasses various aspects of human existence, including art, religion, philosophy, and history.

Hegel's philosophy aims to comprehend and articulate the nature of the Absolute through a systematic exploration of these different dimensions.

Overall, the Absolute, or Absolute Spirit, represents the highest reality and the ultimate goal of Hegel's philosophical system, encompassing the fullness of reality and reconciling the contradictions inherent in human experience.

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Answer:

2

Step-by-step explanation:

the gradient = (12-4)/(0+4)=8/4=2

Answer:

gradient = 2

Step-by-step explanation:

Calculate the gradient m using the gradient formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (0, 12)

m = \(\frac{12-4}{0+4}\) = \(\frac{8}{4}\) = 2

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer: d) 0.0469

Step-by-step explanation:

I honestly don't even know my mom answered this question-

Answer:

since

formula is 4a

then

answer 16...

Time taken to inflate the balloon to two-thirds of its maximum volume is 16 minutes.

Given the diameter of the balloon = 55 ft

Let r be the radius of the balloon. Then r = 55/2 = 27.5 ft

Rate of change of radius = 1.5 ft/min.

The maximum volume of the balloon = \(\frac{4}{3}\pi r^3\) = \(\frac{4}{3}\times3.14\times 27.5^3\)

                                                              = 87069.583 \(ft^3\)

Two- thirds of the volume = (2/3) x 87069.583 = 58046.389  \(ft^3\)

Let R be the radius of the balloon with two-thirds of its maximum volume.

Then, \(\frac{4}{3}\pi R^3\) =  58046.389

⇒          \(R^3=\frac{3}{4\times3.14}\times 58046.389\) = 13864.583

⇒            \(R=13864.583^\frac{1}{3}\)

⇒           R = 24.023 ft

Now time taken to inflate balloon to the two-third of the maximum volume = 24.023/1.5 = 16 minutes approximately.

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Answer:

A) 16 minutes

Step-by-step explanation:

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Option (b) is correct. Both 1) and 2) have equivalent iterations, and 3) and 4) have equivalent iterations.

Option 1) for (int q=1; q<=100; ++q) iterates 100 times, starting from 1 and incrementing by 1 until q reaches 100.

Option 2) for (int q=100; q=0; -9) also iterates 100 times, starting from 100 and decrementing by 9 until q reaches 0.

Option 3) for (int q=99; q>0; q-=9) iterates 12 times, starting from 99 and decrementing by 9 until q becomes less than or equal to 0.

Option 4) for (int q=990; q>0; q-=90) also iterates 12 times, starting from 990 and decrementing by 90 until q becomes less than or equal to 0.

Comparing the number of iterations, we can see that both 1) and 2) have equivalent iterations with 100 iterations each. Similarly, 3) and 4) have equivalent iterations with 12 iterations each. Therefore, option (b) is correct, as both 1) and 2) have equivalent iterations, and 3) and 4) have equivalent iterations.

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Answer:

The right option is option e.T-shaped.

Step-by-step explanation:

The molecular geometry or shape of clf3 is T-shaped. It acquires such shape because of presence of two lone pairs which take equatorial position and there are greater repulsions. The hybridisation is sp3d and it has 2 lone pairs

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Option e) T-shaped

The shape or molecular geometry  of ClF₃ is T-shaped. It acquires such a shape due to the presence of two lone pairs in the equatorial position and has greater repulsion. The hybrid is sp³d and it has 2 lone pairs.

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Using the rule of 72, startfraction 72 over t endfraction, Manuel will double his money first, in approximately 9 years. Option C is the answer.

The rule of 72 is a quick and simple way to estimate the number of years it takes for an investment to double given the

interest rate. It is calculated by dividing 72 by the interest rate.

For example, if an investment has an interest rate of 8%, it will take approximately 72 / 8 = 9 years to double the investment.

Applying this rule, we can estimate the time it will take for Sylvia's investment to double: 72 / 8 = 9 years.

And for Manuel's investment to double: 72 / 7.25 = 10 years.

Since Manuel's investment will double in approximately 9 years, he will double his money first.

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Calculating the obtuse angle or value of a triangle.

Finding obtuse angle value:

steps:

1)  Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.

For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.

2)  Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.

3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.

4)  Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.

5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.

The obtuse angle value is obtained by inverse of cos:

cos^-1(-0.3125)

= 108.209 degrees.

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The maximum volume of a cone that can be carved from the foam cylinder is approximately 9.42 cubic inches.

Given data:

diameter = 3 inches

radius = r = 3 ÷ 2 = 1.5 inches

height = 4 inches

We need to find the maximum volume of a cone that can be carved from the foam cylinder. The volume of a cone is given by the formula:

V = \(\frac{1}{3}\pi r^2h\)

where:

V = volume

r = radius of the base

h = height

π = 3.14.

Substituting the r, h, and  π values in the formula, we get:

V = \(\frac{1}{3}\)π\(r^2\)h

V = \(\frac{1}{3}\) × π × (1.5)² ×(4)

V =  \(\frac{1}{3}\) × π × 2.25 ×(4)

V = 3 π

V = 9.42 cubic inches

Therefore, the maximum volume of a cone is 9.42 cubic inches.

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Step-by-step explanation:

diameter=

\(2 \times\pi \times r = 6 \\ r = \frac{6}{2 \times 3.14} = 0.955 \\ area = \pi \times {r}^{2} = 3.14 \times {0.955}^{2} \\ = 2.87\: {cm}^{2} \)