what is the value of this expression when c=4 c^3/2

The given figure consists of a rectangle and two semicircles with one semicircle removed has the area of 24  unit².

The area of a form is a two-dimensional number measured in square units such as square inches (in2), square feet (ft2), square yard (yd2), and so on.

A rectangle's area (A) is calculated by multiplying its length 'a' by its breadth 'b'. Area of Rectangle is therefore equal to ab square units.

A semicircle's area is half that of a circle's area. As  πr² is the area of a circle. The area of a semicircle is thus  πr²/2), where r is the radius and 3.14 or 22/7 is the value of π.

The given figure consists of a rectangle and two semicircles with one semicircle removed.

The rectangle has dimensions 6 and 4 respectively.

So total area = πr²/2 + 6(4) -  πr²/2

                     = 6(4)

                     = 24 unit²

Therefore, the total area of the given figure is found to be 24 unit² from the given data.

Learn more about area based problems here:

https://brainly.com/question/25292087

#SPJ1

An atom with mass number 16 and nine neutrons corresponds to nitrogen (N). The compound with 10.0 g carbon and 13.32 g oxygen has 57.1% oxygen, while the compound with 10.0 g carbon and 26.64 g oxygen has 72.8% oxygen. The atomic symbol for an atom with 16 neutrons and atomic number 15 is \(^{31}P\) (phosphorus isotope). Elements Li, Na, K, Rb are Alkali Metals; Be, Mg, Ca, Sr, Ba are Alkaline Earth Metals; F, Cl, Br, I are Halogens; He, Ne, Ar, Kr, Xe, Rn are Noble Gases.

Part a) An atom with a mass number of 16 and nine neutrons would have an atomic number of 7. The atomic number represents the number of protons in an atom, which uniquely identifies an element.

Therefore, the element with an atomic number of 7 is nitrogen (N). Nitrogen has a mass number of 14, but the given atom has an additional two neutrons.

Part b) To calculate the percentage of oxygen in a compound, we need to determine the mass of oxygen relative to the total mass of the compound and multiply by 100.

Compound 1: 10.0 g carbon + 13.32 g oxygen

The total mass of the compound is 10.0 g + 13.32 g = 23.32 g.

The mass percentage of oxygen is (13.32 g / 23.32 g) × 100% = 57.1%.

Compound 2: 10.0 g carbon + 26.64 g oxygen

The total mass of the compound is 10.0 g + 26.64 g = 36.64 g.

The mass percentage of oxygen is (26.64 g / 36.64 g) × 100% = 72.8%.

Part c) An atomic symbol represents an element and includes its atomic number as a subscript and the mass number as a superscript. Given 16 neutrons and an atomic number of 15, the element is phosphorus (P).

The atomic symbol for this isotope of phosphorus is ^31P (with 15 as the atomic number and 31 as the mass number).

Part d)

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

Therefore, the elements can be classified as follows:

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

To know more about Alkali Metals refer here:

https://brainly.com/question/18153051#

#SPJ11

Answer:

5.6 cm

Step-by-step explanation:

use the cosine ratio to get the answer since AB is the adjacent side and the hypotenuse has already been given

Answer:

Multiply by 6 to both sides of the equal sign.

(Please tell me if I am wrong)

Answer:

3.

Step-by-step explanation:

multiply 6 on both sides of equal sign

(a) The number of binary strings of length 10 with at least one 1 is 1023.

(b) The number of binary strings of length 10 with at least one 1 and at least one 0 is 2045.

(a) To count the number of binary strings of length 10 with at least one 1, we can subtract the number of strings with all 0's from the total number of binary strings of length 10.

The total number of binary strings of length 10 is 2^10 = 1024, and the number of strings with all 0's is 1 (namely, 0000000000). Therefore, the number of binary strings of length 10 with at least one 1 is:

1024 - 1 = 1023

(b) To count the number of binary strings of length 10 with at least one 1 and at least one 0, we can use the principle of inclusion-exclusion.

The number of strings with at least one 1 is 1023 (as we calculated in part (a)), and the number of strings with at least one 0 is also 1023 (since the complement of a string with at least one 0 is a string with all 1's, and we calculated the number of strings with all 0's in part (a)).

However, some strings have both no 0's and no 1's, so we need to subtract those from the total count. There is only one such string, namely 1111111111. Therefore, the number of binary strings of length 10 with at least one 1 and at least one 0 is:

1023 + 1023 - 1 = 2045.

For more such questions on Binary strings.

https://brainly.com/question/31250964#

#SPJ11

The value that could replace variable x in the table is (15 - m)8

The students are given 3 minutes to complete each multiple choice question on a test and 8 minutes for each free response question.

From the table, the time to answer the whole multiple choice question is as follows:

total time = 3m

From the table, the total time taken to answer the free response question is as follows:

total time = (15 - m)8

learn more on variable here: https://brainly.com/question/12798965

#SPJ1

Answer: I believe it's C   8(15 - m)

Step-by-step explanation:

The sampling procedure being used to collect completion time data in this scenario is based on paired samples or dependent samples.

In paired samples, each observation in one sample is uniquely linked or paired with an observation in the other sample. In this case, the workers are randomly selected, and each worker is assigned to use both production methods, one after the other. The completion time for each worker is measured under both methods, creating paired or dependent observations.

By using paired samples, the company can compare the completion times of the same workers using different production methods. This approach helps eliminate individual differences and other sources of variability among workers, focusing solely on the comparison between the two methods.

To know more about samples,

https://brainly.com/question/15198199

#SPJ11

Answer:

1794-40=x?

Step-by-step explanation:

this is genuine answer but a little bit unsure

Last year = x books

This year = x + 40 books

The needed equation is x + 40 = 1,795.

The expression of ⁴√(81x³y⁴z⁸) with rational exponents is: 3x(¾)yz²

The 8 laws of exponents can be listed as follows:

Zero Exponent Law: a^(0) = 1.

Identity Exponent Law: a^(1) = a.

Product Law: a^m × a^n = a^(m+n)

Quotient Law: a^m/a^n = a^(m - n)

Negative Exponents Law: a^(-m) = 1/a^(m)

Power of a Power: (a^m)^n = a^(mn)

Power of a Product: (ab)^m = a^m*b^m

Power of a Quotient: (a/b)^m = a^m/b^m

We are given the algebra expression as:

⁴√81x³y⁴z⁸

This gives us:

81^(1/4) * x^(3/4) * y^(4/4) * z^(8/4)

= 3x^(3/4)yz²

Read more about Laws of Exponents  at: https://brainly.com/question/11761858

#SPJ1

Answer:

I believe the correct answer is B! Hope this helped.

Answer:

b

Step-by-step explanation:

Answer:

18.76%

Step-by-step explanation:

effective interest rate = ( 1 + periodic interest rate)^m - 1

m = number of compounding = 365

Periodic interest rate = APR / number of compounding = 17.2 / 365 = 0.0471% = 0.000471

(1 + 0.000471) ^365 - 1 = 18.76%

The Fourier series for f(x) is f(x) = (4/π) [sin(x) + (1/3) sin(3x) + (1/5) sin(5x) + ...].

The square wave function can be defined as:

f(x) = {1 -π ≤ x < 0

-1 0 ≤ x < π

To find the Fourier series for this function, we first need to determine the coefficients a_n and b_n.

a_n = (1/π) ∫_0^π f(x) cos(nx) dx

= (1/π) ∫_0^π (-1) cos(nx) dx + (1/π) ∫_(-π)^0 cos(nx) dx

= (2/π) ∫_0^π cos(nx) dx

= (2/π) [sin(nπ) - sin(0)]

= 0

b_n = (1/π) ∫_0^π f(x) sin(nx) dx

= (1/π) ∫_0^π (-1) sin(nx) dx + (1/π) ∫_(-π)^0 sin(nx) dx

= -(2/π) ∫_0^π sin(nx) dx

= -(2/π) [cos(nπ) - cos(0)]

= (2/π) [1 - (-1)^n]

Therefore, the Fourier series for f(x) is:

f(x) = (4/π) [sin(x) + (1/3) sin(3x) + (1/5) sin(5x) + ...]

To find the first three Fourier approximations, we truncate this series at the third term.

F_1(x) = -(4/π) sin(x)

F_2(x) = (4/π) sin(x) + (4/3π) sin(3x)

F_3(x) = (4/π) sin(x) + (4/3π) sin(3x) - (4/5π) sin(5x)

These are the first three Fourier approximations of the square wave function f(x). The more terms we include in the Fourier series, the closer the approximations will be to the original function.

To learn more about the Fourier series

https://brainly.com/question/29672996

#SPJ4

The expected value for each set of 50 items that Sammi sells is $1.82.

The expected value can be calculated by multiplying the profit from each successful sale by the probability of making that sale, and then subtracting the expected cost of each defective item.

Expected value = (Profit from each successful sale * Probability of making that sale) - (Expected cost of each defective item)

Let's assume that Sammi plans to sell 50 items. So, the probability of a successful sale is 49/50 = 0.98. The expected cost of each defective item is $7.

Expected value = ($2 * 0.98) - ($7 * 1/50) = $1.96 - $0.14 = $1.82

So, the expected value for each set of 50 items that Sammi sells is $1.82.

To learn more about expected value here:

https://brainly.com/question/18523098

#SPJ4

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

learn more about change here

brainly.com/question/32782775

#SPJ4

The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

One real-world example of a scenario that can be converted to a mathematical function is the relationship between the cost of a product and the number of units sold. This relationship can be modeled using the following function: y = mx + b

where:

y represents the total cost of selling x units

m represents the marginal cost of each unit sold (i.e., the cost of selling one additional unit)

x represents the number of units sold

b represents the fixed cost of selling the product (i.e., the cost of producing and marketing the product, regardless of the number of units sold)

For example, suppose a company sells a product that costs

10 to produce and 2 to sell each unit. If the company sells 10 units, the total cost of selling those units would be:

y = 10m + 2b

y = 10(10 + 2) + 2(10)

y = 120 + 20

y = 140

In this scenario, the marginal cost of each unit sold is 2

,the fixed cost of selling the product is 20, and the total cost of selling 10 units is 140.This relationship can be used to predict the total cost of selling different quantities of the product ,based on the companys costs and the number of units sold.

Learn more about mathematical function Visit : brainly.com/question/11624077

#SPJ11

Answer:

40% of 32 is 80 so 20% of 80 is 400

Answer:

if the size (and shape) of the figure doesn't change then it's congruent

Step-by-step explanation:

Answer:

D- {5, 20, 35, 50} Hope this helps!  

                o((>ω< ))o

100th digit of the pi is 7

Pi (represented by the Greek letter π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159,

The decimal representation of pi (π) is an infinite non-repeating sequence of digits, so there is no simple formula or algorithm to determine the value of its digits. However, you can use a computer program or online tool to calculate the digits of pi to a certain number of decimal places.

Assuming you are looking for the 100th decimal digit of pi, it is 7. This means that if you write out the first 100 digits of pi, the 100th digit is 7.

Learn more about Pi here

brainly.com/question/16277677

#SPJ4

The question you posted is incomplete and does not have a table to complete. Can you please provide the table or the missing information so that I can answer your question properly?

Answer:

each bag cost $2.46

Step-by-step explanation:

you divide 7.38 by 3

Answer:

$3.14

Step-by-step explanation:

The economic order quantity (EOQ) is a formula used in inventory management to determine the optimal order quantity that minimizes the total cost of inventory. The formula for EOQ is: EOQ = √((2 * Demand * Ordering Cost) / Holding Cost) In this case, the demand is 6,000 units per year, the ordering cost is $100, and the holding cost is $5 per unit.

Plugging in these values into the formula, we get:

EOQ = √((2 * 6000 * 100) / 5)

Simplifying the expression inside the square root:

EOQ = √(2 * 6000 * 100 / 5)

Calculating the numerator:

EOQ = √(1,200,000)

Taking the square root:

EOQ ≈ 1,095.45

Therefore, the economic order quantity (EOQ) is approximately 1,095 units.

Learn more about the expression here: brainly.com/question/29455287

#SPJ11

Answer:

mn(4m - 7n)

Step-by-step explanation:

➠ 4m^2n-7mn^2

➠ 2^2 x m^2n - 7mn^2

➠ mn(\((\frac{2^2*m^2n}{mn} -\frac{7mn^2}{mn} )\)

➠ mn(\(2^2*m^{2-1}-(7n^{2-1}))\)

➠ mn(4m - 7n)

If the second derivative is positive, the function is concave upward, and if the second derivative is negative, the function is concave downward.

To determine the concavity of a function, we look at its second derivative. If the second derivative is positive, the function is concave upward. If the second derivative is negative, the function is concave downward.

To understand concavity, we start with the first derivative of a function. If the first derivative is positive over an interval, it means that the function is increasing within that interval. Similarly, if the first derivative is negative, the function is decreasing.

Now, let's consider the second derivative. If the second derivative is positive over an interval, it means that the first derivative is increasing within that interval. This implies that the function is becoming steeper as x increases, indicating concave upward curvature.

On the other hand, if the second derivative is negative over an interval, it means that the first derivative is decreasing within that interval. This indicates that the function is becoming less steep as x increases, indicating concave downward curvature.

In summary, the sign of the second derivative determines the concavity of a function. If the second derivative is positive, the function is concave upward, and if the second derivative is negative, the function is concave downward. This understanding of concavity helps us analyze the shape and behavior of functions in calculus.

Learn more about derivative here:

https://brainly.com/question/29144258

#SPJ11

The exact value of sin(θ/2) is -√((√13 - 2) / 13)) / 2).To find the exact value of sin(θ/2), we'll need to use the given information about tanθ and the quadrant in which θ lies.

We know that tanθ = 3/2, which means the ratio of the opposite side to the adjacent side in a right triangle with angle θ is 3/2. Since 180° < θ < 270°, θ is in the third quadrant, where the tangent is positive.

In the third quadrant, the values of sine and cosine are negative. So, we can conclude that sinθ < 0 and cosθ < 0.

Now, let's use the half-angle formula for sine:

sin(θ/2) = ± √((1 - cosθ) / 2)

Since θ is in the third quadrant, sinθ is negative. Therefore, we can choose the negative sign in front of the square root in the formula:

sin(θ/2) = -√((1 - cosθ) / 2)

Substituting the given value of tanθ into the formula:

sin(θ/2) = -√((1 - cosθ) / 2)

         = -√((1 - (1 / √(1 + tan^2(θ)))) / 2)

         = -√((1 - (1 / √(1 + (3/2)^2)))) / 2)

         = -√((1 - (1 / √(1 + 9/4)))) / 2)

         = -√((1 - (1 / √(13/4)))) / 2)

         = -√((1 - (1 / (√13/2)))) / 2)

         = -√((1 - (2 / √13))) / 2)

         = -√((√13 - 2) / √13)) / 2)

         = -√((√13 - 2) / 13)) / 2)

Therefore, the exact value of sin(θ/2) is -√((√13 - 2) / 13)) / 2).

To learn more about  sine click here:

/brainly.com/question/32510303

#SPJ11

Answer:

0.001

Step-by-step explanation:

The volume of a cube when the area of a face is 0.01 square units is 0.001 cubic units

Cube is a three dimensional solid with a special characteristics such as having all the sides equal and intersecting at an angle of 90 degrees. A cube has six faces and each face has same properties as a square.

Given data

Area of face of a cube = 0.01 square units

solving for a side for the cube we have:

let a side of the cube be x

\(x = \sqrt{0.01}\)

x = 0.1

The volume of a cube is calculated by multiplying the three sides. We have earlier made a side to be x, so we have:

volume of a cube = x * x * x

volume of a cube = x^3

substituting the value of x gives

volume of a cube = 0.1^3

volume of a cube = 0.001 cubic units

Read more on cube here: https://brainly.com/question/1972490

#SPJ1

The comparison between A and B is as follows:A < B.

We are given that:120 % of A is equal to 150 => (120/100)A = 150

Divide both sides by 120/100: A = 150 × 100/120 = 125

And, 105 % of B is equal to 165 => (105/100)B = 165

Divide both sides by 105/100: B = 165 × 100/105 = 157.14

Therefore, A = 125 and B = 157.14

Compare A and B:It can be seen that B is greater than A. Therefore, B > A. Hence, the comparison between A and B is as follows:A < B.

To know more about percentage,

https://brainly.com/question/24877689

#SPJ11

The average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8. option C

Average number of viewers over the two weeks = (First week + Second week) / 2

= {(3.6 x 10⁴) + (4.1 x 10⁴)} / 2

= {3.6 + 4.1 × 10^(4×4) } / 2

= (7.7 × 10^16) / 2

= 3.85 × 10^8

Therefore, the average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8.

Learn more about scientific notation:

https://brainly.com/question/27862246

#SPJ4

Answer:

A) Distance time graph

B) d(t) = 25t

C) The expression shows the distance more clearly.

Step-by-step explanation:

A) A distance time graph as seen in the attachment provides a representation of the distance travelled.

We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.

B) And expression for the distance is;

d = vt

Where;

d is distance in metres

v is speed in m/s and t is time

We are told that the car travels at a constant speed of 100 meters per 4 seconds.

Thus, v = 100/4 = 25 m/s

Distance travelled over time is;

d(t) = 25t

C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.