Bob’s Burgers has started a franchise and needs to mass produce theirburgers. Through analysis they determine that the production function forburgers is(, ) = 60^0. 75^0. 25Where P is the number of burgers produced each day with x units of laborand y units of capital. (10 points)a. Find the number of units produced with 300 units of labor and 200 unitsof capitalb. Find the marginal productivitiesc. Evaluate the marginal productivities with x = 300 and y = 200d. Interpret* the meanings of the marginal productivities found in part ce. If they can afford at most 500 units of capital and labor together thenthere is a constraint x + y = 500. Use this constraint and LaGrangemultipliers to find the number of units of labor and capital that willmaximize production and find the maximum production. F. Find λ and interpret* its meaning in the context of the problem

To find the area inside the larger loop and outside the smaller loop of the limaçon r = 1 2 + cos(θ), we need to first visualize the graph of the limaçon.

The equation r = 1 2 + cos(θ) represents a curve that resembles a snail shell or a heart shape with a loop inside another loop. To find the area inside the larger loop and outside the smaller loop, we need to set up the integral using the polar coordinates.

The formula for the area enclosed by a polar curve is given by:
A = 1/2 ∫(θ2-θ1) (r2-r1)² dθ, where r2 is the outer curve, r1 is the inner curve, and θ1 and θ2 are the angles where the curves intersect.

In this case, the inner curve is r = 1 - cos(θ), and the outer curve is r = 1/2 + cos(θ). The curves intersect when cos(θ) = 1/2 or θ = π/3 and θ = 5π/3.
So, we need to split the integral into two parts, one for θ = π/3 to θ = 5π/3, and another for θ = 5π/3 to θ = π/3.

This is because the outer curve becomes the inner curve and vice versa when we cross the angle θ = 5π/3. For the area inside the larger loop and outside the smaller loop, we need to subtract the area enclosed by the inner curve from the area enclosed by the outer curve.

Using the formula above and plugging in the values, we get:
A = 1/2 ∫(5π/3-π/3) [(1/2 + cos(θ))² - (1-cos(θ))²] dθ

Simplifying this integral, we get:
A = 1/2 ∫(5π/3-π/3) [5/4 + 2cos(θ)] dθ
A = 5/8 [θ + sin(θ)](5π/3-π/3)
A = 5/8 [4π/3 + sin(4π/3) - (π/3 + sin(π/3))]
A = 5/8 [4π/3 - √3/2]
A = 5π/6 - (5/16)√3
Therefore, the area inside the larger loop and outside the smaller loop of the limaçon r = 1 2 + cos(θ) is 5π/6 - (5/16)√3.

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To find the area inside the larger loop and outside the smaller loop of the limaçon r = 1 + 2cos(θ), use the formula for finding the area enclosed by a polar curve.

The general formula is A = (1/2)∫(r^2)dθ, where r is the equation of the curve. In this case, we need to find the area between two curves: the larger loop given by r = 1 + 2cos(θ) and the smaller loop given by r = 1. To find the limits of integration, we need to find the values of θ where the two curves intersect. After finding the values of θ where the curves intersect, we can integrate the difference between the two equations r = 1 + 2cos(θ) and r = 1 with respect to θ.

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Answer:

If you divide 32.4 by 6, then you get 5.4 as an answer

Answer:

True

Step-by-step explanation:

-4x > 16

Divide each side by -4, remembering to flip the inequality since we are dividing by a negative

-4x/-4 < 16/-4

x < -4

-6 is less than -4 so -6 is a solution to the inequality

Answer: True

Step-by-step explanation:

It equals 24>16

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

X = 5

Y = 7

Step-by-step explanation:

First we will find x

4x + 2 = 3x + 7

x + 2 = + 7

x = 5

Next we will find y

2y + 9 = 4y - 5

-2y + 9 = -5

-2y = -14

y = 7

Let the random variable p represent a randomly selected prize amount the expected value of p is $3.90  by using probability.

Prize                $1          $5            $10            $20              $50

Probability     0.60      0.30         0.05           0.04              0.01

It is based on the possible chances of something to happen. The theoretical probability is mainly based on the reasoning behind probability. For example, if a coin is tossed, the theoretical probability of getting a head will be ½.

The expected value is defined as the the sum of each outcome is multiplied by its probability.

p=x1p1+x2p2+x3p3+x4p4

p=1.0.60+5.0.30+10.0.05+20.0.04

p=3.90

Therefore, the correct option is A, i.e. $ 3.90 is the expected value of P.

Three Types of Probability

Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).

Relative Frequency Definition.

Subjective Probability.

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Answer:

x < 5

Step-by-step explanation:

Step 1: Simplify

7x−35<2x−10

Step 2: Substract 2x from both sides

7x−35−2x<2x−10−2x

5x−35<−10

Step 3: Add 35 to both sides

5x−35+35<−10+35

5x<25

Step 4: Divide by 5

5x/5 × 25/5

x < 5

Answer:

x=5

Step-by-step explanation:

7x-35<2(x-5)

7x-35<2x-10

7x-2x<-10+35

5x<25

x<25/5

x<5

Answer:

i dont know.

Step-by-step explanation:

pls make it brainliest

To compute the probability of x being greater than or equal to 3/4 from the probability density function (pdf), you need to integrate the pdf from 3/4 to infinity:

P(x >= 3/4) = ∫(3/4 to infinity) f(x) dx

Here, f(x) is the probability density function. You can substitute the pdf of x into the equation and integrate it over the range from 3/4 to infinity.

For example, suppose the pdf of x is given by f(x) = 2x for 0 ≤ x ≤ 1. To calculate P(x >= 3/4), you would integrate the pdf from 3/4 to 1:

P(x >= 3/4) = ∫(3/4 to 1) 2x dx = [x^2] from 3/4 to 1 = 1 - (9/16) = 7/16

So the probability of x being greater than or equal to 3/4 is 7/16.

Probability density function (PDF) is a function that describes the probability of a continuous random variable taking on a certain value. In order to compute the probability of a continuous random variable being greater than or equal to a certain value, we need to integrate the PDF from that value to infinity.

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Volume of solid is 343 cubic yards.

Volume is defined as the amount of space occupied by an object within the boundaries in the three dimensional space.

A base of a solid whose height is 7 yards is shown.

Let us consider the solid as cube.

Volume of cube = \(a^{3}\) cubic units.

Here side, a =7 yards.

Volume ,V= \(7^{3}\) = 343 cubic yards.

Hence, Volume of solid is 343 cubic yards.

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Answer:

x= -8

Step-by-step explanation:

Let's solve your equation step-by-step.

(x+6)(3)=−6

Step 1: Simplify both sides of the equation.

(x+6)(3)=−6

(x)(3)+(6)(3)=−6(Distribute)

3x+18=−6

Step 2: Subtract 18 from both sides.

3x+18−18=−6−18

3x=−24

Step 3: Divide both sides by 3.

3x

3

=

−24

3

x=−8

Answer:

√13+1 or 4.605551275

Step-by-step explanation:

let me know if it right

The two triangles called congruent if two sides the associated angle in one triangle is congruent with two sides and the contained angle in the other triangle.

According to the Side-Angle-Side theorem of congruency, two sides and the angle they produce are congruent if they are equivalent to two sides as well as the angle of another triangle.

Thus, two triangles are termed to be comparable if their two sides are in the same ratio as the two sides of some other triangle and their two sides' angles inscribed in both triangles are equal.

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Answer:

Ali= x + 5

Aunt= 4x

Answer:

72

Step-by-step explanation:

6x+6x+8x=180 (∠ sum of Δ)

20x=180

x=9

∠ABC=8(9)

         =72

a) 26 × 0.02584 = 0.67384 ≈ 0.67

b) 15.3 ÷ 1.1 = 13.9090909... ≈ 13.9

c) 782.45 − 3.5328 = 778.9172 ≈ 779

d) 63.258 + 734.2 = 797.458 ≈ 800

a) To determine the result of 26 × 0.02584, multiply the numbers and round the answer to the appropriate number of significant figures. Since 26 has two significant figures and 0.02584 has four significant figures, the answer should have two significant figures. Multiplying the numbers gives 0.67384, which is rounded to 0.67.

b) To find the result of 15.3 ÷ 1.1, divide 15.3 by 1.1 and round the answer to the appropriate number of significant figures. Both 15.3 and 1.1 have three significant figures, so the answer should also have three significant figures. Dividing the numbers gives 13.9090909..., which is rounded to 13.9.

c) To calculate 782.45 − 3.5328, subtract the second number from the first and round the answer to the appropriate number of significant figures. Both 782.45 and 3.5328 have five significant figures, so the answer should also have five significant figures. Subtracting the numbers gives 778.9172, which is rounded to 779.

d) To find the sum of 63.258 and 734.2, add the numbers together and round the answer to the appropriate number of significant figures. Both 63.258 and 734.2 have four significant figures, so the answer should also have four significant figures. Adding the numbers gives 797.458, which is rounded to 800.

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Answer:

10,980

Step-by-step explanation:

Answer:

Step-by-step explanation

Left at 6:15 am

How many hours until 2:15pm? 8 hours

How many minutes from 2:15 until 2:30? 15

So it took 8 hours and 15 minutes

The slope the line which divides the parabola and x-axis into two regions with equal area is 0

To find the slope of the line, we need to determine the point of intersection between the parabola and the x-axis.

Setting y = 0 in the equation y = x - x², we have:

0 = x - x²

Rearranging the equation:

x² - x = 0

Factoring out x:

x(x - 1) = 0

This equation is satisfied when x = 0 or x = 1.

Therefore, the line passes through the origin (0, 0) and the point (1, 0) on the x-axis.

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

In this case, (x1, y1) = (0, 0) and (x2, y2) = (1, 0). Plugging these values into the slope formula:

Therefore, the slope of the line that divides the region bounded by the parabola y = x - x² and the x-axis into two regions with equal area is 0.

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Answer:

24p - 35

Step-by-step explanation:

Step 1: Distribute.

Step 2: Combine like terms.

Therefore, the answer is 24p - 35! I hope this helped you.

Answer:

2.25

Step-by-step explanation:

1.50+50%=2.25

False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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Answer/Step-by-step explanation:

r are roses,

r + 6

Ben plants 6r

[RevyBreeze]

Answer:

Incomplete question

...

The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.

The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.

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Answer:

1/6

Step-by-step explanation: