Which of the following shapes is a convex polygon?
OA)
OB)
OC)
OD)

Answer:

Each person should share 1 and 1/2

Dont worry I gotchu

Answer: 33.7°

The perimeter of the triangle is 170 inches.

To solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:

sin(35°) = 46/x

x = 46/sin(35°) = 65 inches

Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:

cos(35°) = 65/x

x = 65/cos(35°) = 75 inches

The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:

P = 65 + 75 + 30

= 170 inches

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At the end of the first 3 seconds, there would be 6 customers in line at the book store.

Little's Law can be used to calculate the number of customers in line at the end of the first 3 seconds. According to Little's Law: the average number of customers in the system is equal to the arrival rate multiplied by the time spent in the system.

In this case, the arrival rate during the first 3 seconds is 29 customers per second, and the time spent in the system is 3 seconds. Therefore the average number of customers in the system is 87 (29 customers per second x 3 seconds).

However since the bookstore can only serve 27 customers per second, the maximum number of customers that can be served during the first three seconds is 81 (27 customers per second x 3 seconds). This means that there are 6 customers who remain in line at the end of the first 3 seconds.

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Answer:

108 g of water

Hope This Helps!!!

To solve this problem, we can use the method of Lagrange multipliers. This method allows us to find the maximum or minimum of a function subject to constraints.

In this case, the function we want to maximize is Z = 2x + 3y and the constraints are x = 24, y = 25, and 3x + 2y = 52.We begin by setting up the Lagrangian function, which is given by:L(x, y, λ) = Z - λ(3x + 2y - 52)where λ is the Lagrange multiplier. We then take the partial derivatives of the Lagrangian with respect to x, y, and λ and set them equal to zero.∂L/∂x = 2 - 3λ = 0∂L/∂y = 3 - 2λ = 0∂L/∂λ = 3x + 2y - 52 = 0Solving for λ, we get λ = 2/3 and λ = 3/2. However, only one of these values satisfies all three equations. Substituting λ = 2/3 into the first two equations gives x = 20 and y = 22. Substituting these values into the third equation confirms that they satisfy all three equations. Therefore, the maximum value of Z subject to the given constraints is Z = 2x + 3y = 2(20) + 3(22) = 84.

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The maximum value of Z = 2x + 3y, subject to the conditions x ≤ 24, y ≤ 25, and 3x + 2y = 52, is 96.

To maximize the function Z = 2x + 3y, subject to the conditions x ≤ 24, y ≤ 25, and 3x + 2y = 52, we will use the method of linear programming.

Let us first graph the equation 3x + 2y = 52.

The intercepts of the equation 3x + 2y = 52 are (0, 26) and (17.33, 0).

Since the feasible region is restricted by x ≤ 24 and y ≤ 25, we get the following graph.

We observe that the feasible region is bounded and consists of four vertices:

A(0, 26), B(8, 20), C(16, 13), and D(24, 0).

Next, we construct a table of values of Z = 2x + 3y for the vertices A, B, C, and D.

We observe that the maximum value of Z is 96, which occurs at the vertex B(8, 20).

Therefore, the maximum value of Z = 2x + 3y, subject to the conditions x ≤ 24, y ≤ 25, and 3x + 2y = 52, is 96.

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To plot the complex number 10 + 10i on the complex plane, we can think of it as a point in Cartesian coordinates (x,y), where the x-coordinate is the real part and the y-coordinate is the imaginary part. In this case, we have x = 10 and y = 10, so we can plot the point (10, 10) in the complex plane.

To write this complex number in polar form, we can use the formula r = |z| = sqrt(x^2 + y^2) to find the modulus (or magnitude) of the complex number. In this case, we have r = sqrt(10^2 + 10^2) = sqrt(200) = 10*sqrt(2).

Next, we can use the formula theta = atan2(y,x) to find the argument (or angle) of the complex number in radians. Note that the atan2 function takes both the y and x coordinates as arguments, and returns an angle in the range [-pi, pi]. In this case, we have theta = atan2(10,10) = pi/4.

Therefore, the polar form of the complex number 10 + 10i is z = 10*sqrt(2) * (cos(pi/4) + i*sin(pi/4)).

To write this complex number in exponential form, we can use Euler's formula e^(ix) = cos(x) + i*sin(x). In this case, we have x = pi/4, so we can write:

10 + 10i = 10*sqrt(2) * (cos(pi/4) + i*sin(pi/4))
= 10*sqrt(2) * e^(i*pi/4)

Therefore, the exponential form of the complex number 10 + 10i is z = 10*sqrt(2) * e^(i*pi/4).

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Polynomials are algebraic expressions consisting of terms that include real numbers, variables, and positive integer exponents. Each term in a polynomial has a variable raised to a non-negative integer power, and the coefficient of each term is a real number. Polynomials are classified by the degree of their highest power. If two or more terms in a polynomial have the same variable raised to the same power, they can be combined into a single term.

1. -x² + x - x² + 1

Combine like terms: -x² + x - x² + 1 = -2x² + x + 1

This polynomial has degree 2 because the highest power of the variable is 2.

2. x² + x + 2x³ - x

Rearrange terms: 2x³ + x² + x - x = 2x³ + x²

This polynomial has degree 3 because the highest power of the variable is 3.

3. 4x + x + x - 2

Combine like terms: 4x + x + x - 2 = 6x - 2

This polynomial has degree 1 because the highest power of the variable is 1.

4. 3x² + 4 - 3x² - 1

Combine like terms: 3x² - 3x² + 4 - 1 = 3

This polynomial has degree 0 because there is no variable term.

Therefore, the four given polynomials have degrees 2, 3, 1, and 0, respectively.

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The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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the arc-length of the given curve is 53.6204 units.

The formula for arc length is given as : L =  ∫a^b√[1 + f'(x)²] dxHere, the given function is:x = (t^2) / 22  and  y = (t^2 + 2t + 5)^(3/2) Now, we can differentiate the given function to find f'(x). Here's the differentiation process:dx/dt = t/11dt/dt = 1

Now, we can find f'(x) by substituting the values: f'(x) = √[dx/dt² + dy/dt²]f'(x) = √[(t² / 121) + (t² + 2t + 5)³]

Now, let's simplify it:

f'(x) = √[t^4 + 4t^3 + 26t² + 40t + 125]

Finally, let's substitute all the values in the formula:L =  ∫0^2√[1 + (t^4 + 4t^3 + 26t² + 40t + 125)] dt

To solve this, let's break this down into simple steps. Follow these steps to find the arc length of the given curve:

Step 1: Differentiate the given function to find f'(x). We've found it above. We can use that value to simplify the formula further.

Step 2: Write down the formula of arc length given above and substitute the values for it. L =  ∫a^b√[1 + f'(x)²] dx Here, we have a = 0 and b = 2. Therefore, L = ∫0^2√[1 + (t^4 + 4t^3 + 26t² + 40t + 125)] dt

Step 3: Let's simplify this further by expanding the expression inside the square root.L = ∫0^2√[t^4 + 4t^3 + 26t² + 40t + 126] dt

Step 4: To find the antiderivative of the expression, we can use substitution method. Let's assume u = t² + 2t + 5 Therefore, du/dt = 2t + 2 and dt = du / 2(t+1)

Using this substitution, we can simplify the expression inside the integral further:L = ∫0^2√[(u^(3/2))/2 + 5u^(1/2) - 2u + 127/2] du / 2(t+1)

Step 5: Now, let's solve this integral using the substitution rule:Let's first find the antiderivative of [(u^(3/2))/2 + 5u^(1/2) - 2u + 127/2] = [(2/5)u^(5/2) + (10/3)u^(3/2) - u² + (127/2)u]

Therefore, L = [((2/5)u^(5/2) + (10/3)u^(3/2) - u² + (127/2)u) | [0, 2]] / 2(t+1)L = [(2/5)(19^(5/2)) + (10/3)(19^(3/2)) - (2^2) + (127/2)(2) - (2/5)(0^(5/2)) - (10/3)(0^(3/2)) + 0 + (127/2)(0)] / 4

Step 6: Simplify the expression: L = [38.8073 + 53.6743 - 4 + 127 - 0 - 0 + 0 + 0] / 4L = 214.4816 / 4L = 53.6204 units

Therefore, the arc-length of the given curve is 53.6204 units.

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Options :

4+4+4+4

8+8+8+8

(-1)(4+4+4+4)

(-8) + (-8) + (-8) + (-8)

Answer:

-8 + - 8 + - 8 + - 8

Step-by-step explanation:

Given that:

Rungs of ladder moved per stop = 4

Number of stops made = 8

Number of ladder rungs :

Ladder rungs per stop * number of stops

- 4(descent) * 8= - 32 ladder rungs

Alternative way :

-8 in 4 places

-8 + - 8 + - 8 + - 8 = - 32

Answer:

B

Step-by-step explanation:

what is the decimal form of 100/3 100/5 and 100/6? determine whether each repeats or terminates ​

to know the decimal form, just make the division

Step 1

every time you divide you will have a residual number (1),

so

100=(33*3)+1

when you divide the 1 by 3, you will have

1=(3*0.3)+0.1

and

10=3*3 +1

,so the 3 will repeat forever

Step 2

so the decimal form of 100/5 is 20

Step 3

when you divide 100 by 6 you have

I hope it helps you.

Answer:

Its B

Step-by-step explanation:

For each increase of 10° the amount of gas used is about 25 therms less

The coefficient matrix of the Given system is:

A = [ -4   1    4]

      [ -5 -6  -6]

      [ 4    1   -3]

A matrix coefficient (or matrix element) in mathematics is a special form of function on a group that depends on a linear representation of the group and other information. It is specifically a function on a compact topological group G that is created by joining a linear map from the endomorphisms of V onto the field beneath V with a representation of G on a vector space. Another name for it is a representative function.

The given linear system is

-4x y 4z = 8

-5x - 6y - 6z = 17

4x y - 3z = -14

The given system in matrix form can be written as :

[ -4   1    4]    [ x ]    [  8  ]

[ -5 -6  -6]  * [ y ] = [  17 ]

[ 4    1   -3]    [ z ]    [ -14 ]

From this the Coefficient matrix of the system is

A = [ -4   1    4]

      [ -5 -6  -6]

      [ 4    1   -3]

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Answer:

Where is the graph of this question?

The behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero is the polynomial's final behavior will be "down" on the left and "up" on the right.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. Expressions that contain variables of various intensities, non-zero coefficients, positive exponents (of variables), and constants are known as polynomial functions. For instance, the polynomial in "b" of degree 2 is f(b) = 4b² - 6.

Given,

The behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero is:

This odd-degree polynomial's end behavior will resemble that of a positive cubic because its leading coefficient is positive. As a result, the polynomial's final behavior will be "down" on the left and "up" on the right.

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We can conclude that there is no significant difference between the observed counts and the expected counts, and the color code personality test is consistent with the expected proportions of 25% Red, 35% Blue, 20% Green, and 20% Yellow.

Using the chi-squared goodness-of-fit test, we can determine whether the observed counts of the color code personality test significantly differ from the expected counts. The null hypothesis is that the observed counts are not significantly different from the expected counts, and the alternative hypothesis is that they are significantly different.

The test statistic is calculated as:

χ² = ∑ (Observed - Expected)² / Expected

We can calculate the expected counts for each color as follows:

Red: 45 x 0.25 = 11.25

Blue: 45 x 0.35 = 15.75

Green: 45 x 0.20 = 9

Yellow: 45 x 0.20 = 9

Using the observed and expected counts, we can calculate the chi-squared test statistic:

χ² = [(7 - 11.25)² / 11.25] + [(18 - 15.75)² / 15.75] + [(9 - 9)² / 9] + [(11 - 9)² / 9]

χ² = 2.84

Using a chi-squared distribution table with 3 degrees of freedom (df = a number of categories - 1), we find that the critical value for a significance level of 0.05 is 7.815. Since the calculated chi-squared value (2.84) is less than the critical value (7.815), we fail to reject the null hypothesis.

Therefore, we can conclude that there is no significant difference between the observed counts and the expected counts, and the color code personality test is consistent with the expected proportions of 25% Red, 35% Blue, 20% Green, and 20% Yellow.

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The correct question should be:

A color code personality test categorizes people into four colors – Red (Power), Blue (Intimacy), Green (Peace), and Yellow (Fun). In general, 25% of people are Red, 35% Blue, 20% Green, and 20% Yellow. An art class of 45 students is tested at a university and 7 are found to be Red, 18 Blue, 9 Green, and 11 Yellow.

Can it be concluded that personality type has an impact on students’ areas of interest and talents, such as artistic students, and state the p-value? Test at a 0.05 level of significance.

                                       Red       Blue         Green         Yellow

Observed Counts            7          18                9                11

Expected Counts         11.25        15.75          9                 9

Therefore, another set of values for r and h that could be used to make a cylinder with a volume that is 8 times greater than the given soda can are r = 6 cm and h = 24 cm

The given soda can has a radius of 3 cm and a height of 12 cm. The formula for the volume of a cylinder is V = πr²h where r is the radius and h is the height of the cylinder.

To find the radius and height of a cylinder that has a volume 8 times greater than the given soda can, we need to multiply the volume of the soda can by 8, and then solve for the radius and height of the cylinder.

Volume of the given soda can = π(3 cm)²(12 cm) = 339.292 cm³

Volume of the cylinder with 8 times the volume of the soda can = 8 × 339.292 cm³ = 2714.336 cm³

Now, we can substitute the values of V and r²h into the formula V = πr²h and simplify it to solve for the possible values of r and h.πr²h = 2714.336 cm³

Substituting the value of V and r²h, we get:π( r²)(h) = 2714.336

Dividing both sides by π, we get:r²h = 864 cm³

Solving for r and h using the given values:

r = 3 cm

h = 12 cm

Substituting these values in the equation:

r²h = 3² × 12 = 108 cm³

Since r²h = 864 cm³, we can find another set of values for r and h by dividing 864 cm³ by 108 cm³ and multiplying both r and h by that same factor.864 ÷ 108 = 8

Multiplying both r and h by 8, we get:

r = 3 cm × 2 = 6 cm

h = 12 cm × 2 = 24 cm

Therefore, another set of values for r and h that could be used to make a cylinder with a volume that is 8 times greater than the given soda can are r = 6 cm and h = 24 cm

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The cost to recarpet the room is the area multiplied by the cost per square meter:

It will cost $1099.52 to recarpet the room.

Cost refers to the amount of money or resources that must be spent to acquire or produce a certain good or service. It can include expenses such as labor, materials, and overhead, as well as any other costs associated with the production or acquisition of a product or service. Cost is typically expressed in monetary units, such as dollars or euros, but can also be measured in terms of other resources, such as time or effort.

The area of the rectangular hotel room is:

A = length x width = 4m x 8m = 32 square meters

The cost to recarpet the room is the area multiplied by the cost per square meter:

cost = area x cost per square meter = 32 square meters x $34.36 per square meter = $1099.52

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The value of z that should be used when making a 93% confidence interval for p is Z=1.81 that is option D.

The z score is a measure of how many standard deviations a raw score is below or above the population mean. It will be positive if the value is more than the mean and negative if it is less than the mean. It is often referred to as the standard score. It represents the number of standard deviations an entity has from the mean.

To utilise a z-score, both the mean and the population standard deviation must be known. The z score calculates the likelihood of a score occuring within a standard normal distribution. It also allows us to compare scores from various samples. A table for the values of, representing the values of the cumulative distribution function of the normal distribution, is known as a

At 93% confidence, the significance level is,

ɑ= 1-0.93

ɑ= 0.07

Divide alpha by 2,

ɑ/2= 0.07/2= 0.035

Now, from the ‘normal probability’ table, the z value corresponding to the inverse probability of 0.035 is 1.81.

As a result, the z value is 1.81 at 93% confidence level.

z= 1.81

The value for z score is 1.81

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The value of the smallest angle of the quadrilateral will be 40 degrees.

The angles in a quadrilateral are in the ratio 6:2:7:3.

Let the canceling number be 'x'.

The sum of the angle of the quadrilateral is 360 degrees. Then the equation is given as,

6x + 2x + 7x + 3x = 360

18x = 360

x = 20

The value of the smallest angle is calculated as,

2x = 2(20)

2x = 40 degrees

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Answer:

subtract the 3 from both sides

dont multiply

after that you divide both sides by five to get x alone

a)There are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

a)Set A has m elements and set B has n elements

Firstly determine the number of elements A*B by using the multiplication rule

Number of elements\(=A*B=m*n=mn\)

For each element, \(A*B\) we have two option

First element 2 ways

Second element 2 ways

mn element 2 ways

By using the multiplication rule

\(2*2*2......=2^m^n }\)

Then there are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

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The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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Answer:

Both of the arrowed ones are the sides

Answer:

12

Step-by-step explanation:

Answer:

12/24

Step-by-step explanation:

spanish 45 kilis la respuesta seria que los yolander son 53kilos