I need an answer as soon as possible

Answer:

Side of square=Diameter of circle=16

Radius= Diameter/2=16/2=8

Area of circle=4Πr²

=4*3.14*8²

=803.84cm²

The area of the circle that is formed inside the square will be 200.96 square cm.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The length of the square is 16 cm.

From the diagram, the length of the square is equal to twice the radius of the circle. Then we have

2r = a

2r = 16

 r = 8 cm

The area of the circle is given as,

A = π (8)²

A = 3.14 × 64

A = 200.96 square centimeters

The region of the circle that is framed inside the square will be 200.96 square cm.

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The correct option is Option A

The minimum value of D is 2, while the maximum value of C is -3.

The minimum value of D is 5 more than the maximum value of C

Answer:

40 cm³

Step-by-step explanation:

To solve this problem, it's easiest to imagine this figure as a half of a whole retangular prism. You can find the volume of that rectangular prism and divide the answer by 2. So, to find the volume, multiply each dimension by the others.

5 · 8 · 2 = 80

The volume of the rectangular prism we imagined is 80 cm³. So to find the volume of the original figure instead, divide this answer in half, to find 40 cm³. The answer is B, 40 cm³. Be sure to use the cubed symbol, '³' , to show volume. Hope this helps ^^ Good luck

Answer:

2asq

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

(a + b)sq + (a - b)sq

Step 2: Simplify

Answer:

options)  60/ or  %60  or  %60 ,

the correct answer is ''60/''

Step-by-step explanation:

because how come the sign of (%) is before the number , although it should be after the number value or we can say most the signs come after the number value .

hope this helps you

Answer:

-y+6

Step-by-step explanation:

-3 (y+2) +2y

-3y -6 +2y

-y+6

Answer:

-y-6

Step-by-step explanation:

Answer:

In geometry, postulates are statements that are accepted as true without proof. The three postulates for congruent triangles are ASA, SSS, and SAS. These postulates are used to prove that two triangles are congruent.

ASA Postulate:

ASA stands for "Angle, Side, Angle." This postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Visual example:

In the above image, ΔABC and ΔDEF have ∠A ≅ ∠D, ∠B ≅ ∠E, and AB ≅ DE. Therefore, we can conclude that ΔABC ≅ ΔDEF by ASA postulate.

SSS Postulate:

SSS stands for "Side, Side, Side." This postulate states that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Visual example:

In the above image, ΔABC and ΔDEF have AB ≅ DE, BC ≅ EF, and AC ≅ DF. Therefore, we can conclude that ΔABC ≅ ΔDEF by SSS postulate.

SAS Postulate:

SAS stands for "Side, Angle, Side." This postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Visual example:

In the above image, ΔABC and ΔDEF have AB ≅ DE, BC ≅ EF, and ∠B ≅ ∠E. Therefore, we can conclude that ΔABC ≅ ΔDEF by SAS postulate.

Overall, the ASA, SSS, and SAS postulates are important tools in proving the congruence of triangles in geometry. They allow us to make logical deductions about the properties of triangles based on their corresponding angles and sides.

Answer:

They are different because ASA means that the two triangles have two angles and the side between the angles congruent. SAS means that two sides and the angle in between them are congruent

Step-by-step explanation:

and sss If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.

Answer:

the answer is foot/hour

The MP curve initially rises to its maximum value because of the specialized nature of the fixed capital, where each additional worker's productivity rises due to the marginal product of the fixed capital.

Production Function: q = f(L,K) = 20L + 25K + 5KL - 0.03L² - 0.02K²

Given, K = 5, i.e., capital is fixed. Therefore, the total product of labor, average product of labor, and marginal product of labor are:

TPL = f(L, K = 5) = 20L + 25 × 5 + 5L × 5 - 0.03L² - 0.02(5)²

= 20L + 125 + 25L - 0.03L² - 5

= -0.03L² + 45L + 120

APL = TPL / L, or APL = 20 + 125/L + 5K - 0.03L - 0.02K² / L

= 20 + 25 + 5 × 5 - 0.03L - 0.02(5)² / L

= 50 - 0.03L - 0.5 / L

= 49.5 - 0.03L / L

MP = ∂TPL / ∂L

= 20 + 25 - 0.06L - 0.02K²

= 45 - 0.06L

The following diagram illustrates the TP, MP, and AP curves:

Figure: Total Product (TP), Marginal Product (MP), and Average Product (AP) curves

The production function demonstrates increasing marginal returns due to specialization when L is low enough, i.e., when L ≤ 750. The marginal product curve initially increases and reaches a maximum value of 45 units of output when L = 416.67 units. When L > 416.67, MP decreases, and when L = 750 units, MP becomes zero.

The MP curve's initial increase demonstrates that the production function displays increasing marginal returns due to specialization when L is low enough. This is because when the capital is fixed, an additional unit of labor will benefit from the fixed capital and will increase production more than the previous one.

In other words, Because of the specialised nature of the fixed capital, the MP curve first climbs to its maximum value, where each additional worker's productivity rises due to the marginal product of the fixed capital.

The APL curve initially rises due to the MP curve's increase and then decreases when MP falls because of the diminishing marginal returns.

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Systematic risk is the type of risk for which you can be rewarded with a higher expected return.

So, the correct answer is A

Systematic risk, also known as market risk or non-diversifiable risk, affects the entire market and cannot be eliminated through diversification.

Investors are compensated for taking on systematic risk through higher expected returns as they bear the fluctuations and uncertainties associated with the overall market.

In contrast, firm-specific, diversifiable, and idiosyncratic risks are specific to individual companies or industries and can be mitigated through diversification in an investment portfolio, so investors don't get rewarded with higher expected returns for these types of risks

Hence, the answer of the question is A.

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The derivative of the function f is f'(x) = x^3 - 8x^2, and the original function f can be obtained by integrating the derivative.

The given derivative, f'(x) = x^3 - 8x^2, represents the rate of change of the function f with respect to x. To find the original function f, we need to integrate the derivative.

Integrating the derivative f'(x), we obtain:

f(x) = ∫(x^3 - 8x^2) dx

To integrate x^3, we add 1 to the exponent and divide by the new exponent:

∫x^3 dx = (1/4)x^4 + C1, where C1 is the constant of integration.

To integrate -8x^2, we use the same process:

∫-8x^2 dx = (-8/3)x^3 + C2, where C2 is another constant of integration.

Combining the two results, we have:

f(x) = (1/4)x^4 - (8/3)x^3 + C, where C = C1 + C2 is the overall constant of integration.

Thus, the original function f, corresponding to the given derivative, is f(x) = (1/4)x^4 - (8/3)x^3 + C.



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Answer:

C. Write the first equation in standard form.

Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Answer:

Step-by-step explanation:

the volume of a rectangle is length x width x height, so the volume of the first rectangle is 2700.

the square has a length and width of 15 with a missing height. because they have the same volume, you can plug in the length and width of the square with the volume of the prism to find the height

v = length x width x height

2700 = (15)(15)h

2700/225 = h

the height is 12

The solution is, the finally discounted price is 71.5.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

sale price = 90

15% discount, so, the price = 90* 85%

                                            =76.5

now, after 5 discount, price became = 76.5 - 5

                                                             = 71.5

Hence, The solution is, the finally discounted price is 71.5.

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The closest percent error for Marcos' measurement of the bike tire circumference is approximately 7.9%. The correct option is b.

Percent error is calculated by taking the absolute difference between the measured value and the actual value, dividing it by the actual value, and then multiplying by 100. In this case, Marcos' measured circumference is 290 inches, while the actual circumference is 315 cm (which needs to be converted to inches for consistency).

To find the percent error, we first need to convert 315 cm to inches. Since 1 cm is approximately equal to 0.3937 inches, we can multiply 315 cm by 0.3937 to get 124.0155 inches.

Now we can calculate the percent error using the formula:

Percent Error = [(Measured Value - Actual Value) / Actual Value] * 100

Using the measured value of 290 inches and the actual value of 124.0155 inches, we get:

Percent Error = [(290 - 124.0155) / 124.0155] * 100 ≈ 7.9%

Therefore, the closest percent error to Marcos' measurement is approximately 7.9%, which corresponds to option (b).

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Answer:

The answer would be 5.

Step-by-step explanation:

If you take away 18 from 90 would be 72.

72 - 18 =54

54 - 18 =36

36 - 18 =18

18 - 18 =0

If you count that would equal 5 .

Hope this helps .

If f(x) = 2-x and g(x) = 2x² + x + 6 , then the value of the function (fog)(2) is -14.

In order to find the value of composite function (fog)(2), we first find the value of g(2) and then use it to find f(g(2)) .

So , to find g(2), we substitute x = 2 into the function for g(x) ;

⇒ g(2) = 2(2)² + 2 + 6

⇒ g(2) = 2×4 + 8

⇒ g(2) = 16

Now , we know that g(2) = 16,

So ,we can find f(g(2)) by substituting 16 for x in the expression for f(x):

⇒ f(g(2)) = 2 - g(2)

⇒ f(g(2)) = 2 - 16

⇒ f(g(2)) = -14

Therefore, the value of the composite function (fog)(2) = f(g(2)) = -14.

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The given question is incomplete , the complete question is

For f(x) = 2 - x and g(x) = 2x² + x + 6 , then find the value of the function (fog)(2) .

Note that the mean is 4 hours

The standard deviation is 2.236 hours.

The mean time to conduct all the interviews =

(3 hours/unqualified applicant) * (0.5) + (5 hours/qualified applicant) * (0.5)

= 4 hours

The standard deviation of the time to conduct all the interviews is

√((3 hours)² * (0.5)² + (5 hours)² * (0.5)²)

= 2.236 hours

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The company from Example IV takes three hours to interview an unqualified applicant and five hours to interview a qualified applicant. Calculate  the mean and standard deviation of the time to conduct all the interviews.

Given:

The given equation is:

\(\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2\)

To find:

The solution for the given equation.

Solution:

We have,

\(\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2\)

On simplification, we get

\(\sqrt{2x}=2\sqrt{x-1}\)

Squaring both sides, we get

\(2x=4(x-1)\)

\(2x=4x-4\)

\(2x-4x=-4\)

\(-2x=-4\)

Divide both sides by -2.

\(x=\dfrac{-4}{-2}\)

\(x=2\)

Therefore, the correct option is B.

Answer:

its 1-4.5

Step-by-step explanation:

because there is 13 of each shape and the probability of it is 4.5

Answer:

Ren was 27.5 meters away from her family.

Step-by-step explanation:

Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.

But the angle of depression is measured with respect to the horizontal plane, so;

the vertical angle = \(90^{o}\) - 20°

                             = \(70^{o}\)

Applying the appropriate trigonometric function, we have;

Tan θ = \(\frac{opposite}{adjacent}\)

Tan \(70^{o}\) = \(\frac{x}{10}\)

⇒ x = 10 x Tan \(70^{o}\)

      = 10 x 2.7475

      = 27.475

x = 27.5 meters

Ren was 27.5 meters away from her family.

Answer:

10800

Step-by-step explanation:

so what i was thinking is 360 x 30 so I added that up and.. then I got my answer   (so so sorry if its wrong)

Answer:

the width of a rectangular is 3 cm

Step-by-step explanation:

Length L = 10 cm

Perimeter P = 26 cm

Width W = ?

perimeter = 2L + 2W

26 = 2(10) + 2W

26 - 20 = 2W

6 = 2W

W = 6 / 2

W = 3 cm

therefore,  the width of a rectangular is 3 cm

Answer: 65 - $39 = $26 >> amount you save

26 / 65 = 0.4 = 40% >> discount rate

Step-by-step explanation:

The marginal benefit from studying one extra hour is 5 percent.

Now,

Given:

To find: Marginal benefit on studying one hour extra.

Finding:

Now, marks scored on studying 4 hours is 80 percent and 5 hours is 85 percent.

Thus, the extra percentage that is scored is because of the 1 hour of extra studying.

The extra percentage = marginal benefit of studying extra = 85 - 80 = 5 percent.

Hence, the marginal benefit from studying one extra hour is 5 percent.

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