Consider the area shown below. The height of the triangle is 8 and the length of its base is 3. We have used the notation Dh for Δh.
Write a Riemann sum for the area, using the strip shown and the variable h: Riemann sum =Σ Now write the integral that gives this area: area =∫ba

Answer:

86

Step-by-step explanation:

Let's first focus on the Parenthesis (following PEMDAS).

2+2=4

-4^3 = -64

150-64 = 86

The food percentage would be 19%, 51% and 30%.

Given that we've done it

Number of meals consumed by X = 57

Food consumed by Y = 153.

Number of meals consumed by Z = 90

Total amount of meals consumed = 57 + 153 +90 = 300

Food proportion of flock X thus Equals 57 / 300 * 100 = 19 %

flock food percentage Y =153/300 * 100 = 51 %

flock food percentage Z = 90/300 * 100 = 30 %

This means that the percentages are 19%, 51%, and 30%.

Based on the given information, we have:

Flock X ate 57 pieces of food.

Flock Y ate 153 pieces of food.

Flock Z ate 90 pieces of food.

The total number of pieces of food eaten is 300 (sum of the individual flock's food).

The food percentage for Flock X is 57/300 ≈ 0.19 or 19%.

The food percentage for Flock Y is 153/300 ≈ 0.51 or 51%.

The food percentage for Flock Z is 90/300 = 0.3 or 30%.

The total number of birds for the second generation is 30 (given).

To find the simulated number of birds in each flock for the second generation, we multiply the food percentage for each flock by the total number of birds (30).

For Flock X: 0.19 × 30 = 5.7 (rounded to the nearest whole number: 6 birds)

For Flock Y: 0.51 × 30 = 15.3 (rounded to the nearest whole number: 15 birds)

For Flock Z: 0.3 × 30 = 9 (rounded to the nearest whole number: 9 birds)

Therefore, the simulated number of birds in Flock X, Flock Y, and Flock Z for the second generation are 6, 15, and 9 birds, respectively.

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Complete Question

Flock X Flock Y Flock z Total Pieces of Food Eaten 57 153 90 Food Percentage* % 1% % Simulated Number of Birds in Flock for 2nd Generation ** * Divide each flock's total pieces of food by 300, the total number of pieces of food eaten. ** Multiply the food percentage for each flock by the total number of birds (30). DONE

Answer:

19 51 30

6 15 9

second part Is Y then X

Step-by-step explanation:

x = 3

-4x - (-3 - 5x) =  -3(2x - 8)

x + 3 = -6x + 24

x + 3 - 3 = -6x + 24 --3

x = -6x + 21

x + 6x = -6x + 6x + 21

7x = 21

7x / 7 = 21 / 7

- PNW

If the value of x is 3 then the equation  -4x-(-3-5x)= -3(2x-8) will be true.

Two or more expressions with an Equal sign is called as Equation.

The given equation is -4x-(-3-5x)= -3(2x-8)

We need to find the value of x which makes the equation as true.

Minus four times of x minus of minus three minus five times of x equal to minus three times of two x minus eight.

-4x-(-3-5x)= -3(2x-8)

-4x+3+5x= -6x+24

Take all the terms to the left hand side

-4x+3+5x+6x-24=0

Add the like terms

7x-21=0

Add 21 on both sides

7x=21

Divide both sides by 7

x=3

Hence, if the value of x is 3 then the equation  -4x-(-3-5x)= -3(2x-8) will be true.

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Answer:

b) Scalene Acute

Step-by-step explanation:

b) Scalene Acute

A scalene triangle is a triangle with none of its sides equal to each other. Here, The sides MN,NO,OM with their respective values of 4.94,4.65.3.65 are not equal. Hence, Scalene.

An acute triangle is a triangle in which the largest angle of the triangle is more than 90 degree. Here, Neither  63, 45 nor 72 are greater than 90 degrees.

Hence, Acute

Answer:

6 × 36 = 216

Step-by-step explanation:

one ticket price: 216 ÷ 6 = $36

Answer:

Step-by-step explanation:

The LCD here is the smallest integer evenly divisible by both 7 and 3.  That number would be 21.  Then:

1/7 and 2/3 become 3/21 and 14/21.

The absolute value of the elasticity coefficient for Toasty Hands' gloves is 394,265.23.

The elasticity coefficient is calculated as follows:

Elasticity coefficient = (Change in demand)/(Change in price) * (Original price)/(Original demand)

In this case, the change in demand is 540,000 - 440,000 = 100,000 pairs. The change in price is 239 - 279 = -40. The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get:

Elasticity coefficient = (100,000)/(-40) * (279)/(440,000) = -394,265.23

The absolute value of the elasticity coefficient is 394,265.23. This means that the demand for Toasty Hands' gloves is elastic, meaning that a small change in price will lead to a large change in demand.

Here is a more detailed explanation of the calculation:

The change in demand is calculated by subtracting the original demand from the new demand. In this case, the new demand is 540,000 pairs, and the original demand is 440,000 pairs. So the change in demand is 540,000 - 440,000 = 100,000 pairs.

The change in price is calculated by subtracting the original price from the new price. In this case, the new price is $239, and the original price is $279. So the change in price is 239 - 279 = -40.

The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get the elasticity coefficient of -394,265.23.

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The measure of angle XBC is 18°.

Given that, ray BX is an angle bisector of angle ABC.

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

Here,

m∠ABX = 2y+10, and m∠ABC = 10y-4

Now, m∠ABC = m∠ABX + m∠XBC

m∠ABX = m∠XBC

⇒ 10y-4 = m∠ABX+m∠ABX

⇒ 10y-4 = 2∠ABX

⇒ 10y-4 = 2(2y+10)

⇒ 10y-4 = 4y+20

⇒ 10y-4y = 20+4

⇒ 6y = 24

⇒ y=4

So, m∠XBC=2y+10

= 18°

Therefore, the measure of angle XBC is 18°.

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Answer:

Distance = 240 km = 240000 m

Time = 3 hour = 3×60 × 60 = 10800 s

Speed = distance/time

= 240000 m/10800 s

= 200/9

= 22.22 m/s.

Rounding the height to the nearest inch, we get approximately 60 inches.  b. 60 inches. The height of the rectangular frame is approximately 60 inches.

To determine the height, we can use trigonometry. Let's denote the height as "h" and the length of the frame as "l". The diagonal of the frame forms a right triangle with the height and length as its sides. We know that the diagonal is 76.84 inches and forms a 51.34° angle with the bottom of the frame.

Using the trigonometric function cosine (cos), we can find the length of the frame:

cos(51.34°) = l / 76.84 inches

Solving for "l", we get:

l = 76.84 inches * cos(51.34°)

l ≈ 48.00 inches

Now, we can use the Pythagorean theorem to find the height "h":

h^2 + l^2 = diagonal^2

h^2 + 48.00^2 = 76.84^2

h^2 ≈ 5884.63

h ≈ √5884.63

h ≈ 76.84 inches

Rounding the height to the nearest inch, we get approximately 60 inches. Therefore, the correct answer is b. 60 inches.

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Answer:

\(m=A-\frac{2n}{Z}\)

Step-by-step explanation:

Multiply by 2:

2n = Z(A - m)

Divide by Z:

\(\frac{2n}{Z} =A-m\)

Subtract A:

\(-m=\frac{2n}{Z}-A\)

Multiply by -1:

\(m=A-\frac{2n}{Z}\)

The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.

The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.

The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.

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The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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A Gantt chart is indeed a specialized chart type. Basic chart types include bar charts, line charts, and pie charts, which are commonly used for visualizing data. Specialized chart types, such as Gantt charts, serve more specific purposes.

Yes, there are indeed basic chart types as well as specialized chart types. Basic chart types include things like bar graphs, line graphs, and pie charts, while specialized chart types are designed for more specific purposes, such as organizational charts, flowcharts, and Gantt charts.

In particular, a Gantt chart is a specialized chart type that is commonly used in project management to help visualize the tasks, milestones, and dependencies involved in a project. It is designed to show a timeline of when each task or activity needs to be completed, as well as how long it will take and what resources will be needed.

Overall, while basic chart types are great for general data visualization purposes, specialized chart types like Gantt charts can be incredibly useful for specific tasks or industries, and can help users to more effectively communicate and manage complex information.

A Gantt chart is indeed a specialized chart type. Basic chart types include bar charts, line charts, and pie charts, which are commonly used for visualizing data. Specialized chart types, such as Gantt charts, serve more specific purposes. A Gantt chart is designed for project management and helps visualize a project's timeline, tasks, and progress, making it easier to manage and allocate resources.

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By applying Pythagoras' theorem, the length of x is equal to 10 units.

In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):

x² + y² = z²

Where:

x, y, and z represents the length of sides or side lengths of any right-angled triangle.

Based on the information provided about the side lengths of this right-angled triangle, we have the following equation:

x² = y² + z²

x² = 8² + 6²

x² = 64 + 36

x = √100

x = 10 units.

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

61.9°

Step-by-step explanation:

tan p = opposite/ adjacent

tan p = 15/8

\(tan^{-1}\) (15/8)

Answer:

Here's b > 4 on the number line. When greater than, the arrow always starts with an open circle. If less than, then it will start with a closed circle.

(a) The boundary conditions for the wave equation on the elastic string are as follows: At x = 0: The displacement of the string is fixed, i.e., u(0, t) = 0. This means that the end point of the string at x = 0 does not move.

At x = x: The displacement of the string is fixed, i.e., u(x, t) = 0. This means that the end point of the string at x = x does not move.

(b) The initial conditions for the wave equation on the elastic string are given by the initial displacement f(x) sin(ωt), where f(x) is the initial displacement function and ω is the angular frequency.

To explain the initial conditions with a plot of the string, we can plot the shape of the string at t = 0. The plot will show the initial displacement of the string at each point x. The shape of the string will be determined by the function f(x).

(c) To solve the boundary value problem of the wave equation with the given boundary and initial conditions, we need to solve the one-dimensional wave equation with the appropriate boundary conditions.

The one-dimensional wave equation is given by:

∂²u/∂t² = c² ∂²u/∂x²

where u(x, t) represents the displacement of the string at position x and time t, and c is the wave speed.

Using the boundary conditions u(0, t) = 0 and u(x, t) = 0, and the initial condition f(x) sin(ωt), we can solve the wave equation to find the solution u(x, t) that satisfies the given conditions.

The specific method for solving the wave equation depends on the form of the initial displacement function f(x) and the properties of the string. Common methods include separation of variables, Fourier series, or using appropriate Green's functions.

The solution to the boundary value problem will provide the complete description of the displacement of the string at any point x and time t, satisfying the boundary and initial conditions.

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The boundary conditions for the wave equation on the elastic string are as follows: At x = 0: The displacement of the string is fixed, i.e., u(0, t) = 0. This means that the end point of the string at x = 0 does not move.

At x = x: The displacement of the string is fixed, i.e., u(x, t) = 0. This means that the end point of the string at x = x does not move.

(b) The initial conditions for the wave equation on the elastic string are given by the initial displacement f(x) sin(ωt), where f(x) is the initial displacement function and ω is the angular frequency.

To explain the initial conditions with a plot of the string, we can plot the shape of the string at t = 0. The plot will show the initial displacement of the string at each point x. The shape of the string will be determined by the function f(x).

(c) To solve the boundary value problem of the wave equation with the given boundary and initial conditions, we need to solve the one-dimensional wave equation with the appropriate boundary conditions.

The one-dimensional wave equation is given by:

∂²u/∂t² = c² ∂²u/∂x²

where u(x, t) represents the displacement of the string at position x and time t, and c is the wave speed.

Using the boundary conditions u(0, t) = 0 and u(x, t) = 0, and the initial condition f(x) sin(ωt), we can solve the wave equation to find the solution u(x, t) that satisfies the given conditions.

The specific method for solving the wave equation depends on the form of the initial displacement function f(x) and the properties of the string. Common methods include separation of variables, Fourier series, or using appropriate Green's functions.

The solution to the boundary value problem will provide the complete description of the displacement of the string at any point x and time t, satisfying the boundary and initial conditions.

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Answer:

108

Step-by-step explanation:

x and 2/3 x are linear pair angles.

Sum of linear pair angles is 180.

x + 2/3 x = 180

3x/3 + 2x/3 = 180

( 3x + 2x )/3 = 180

5x/3 = 180

Cross multiply,

5x = 180 * 3

Divide 5 on both sides,

x = ( 180 * 3 )/5

  = 36 * 3

x = 108

The probability that the ball drawn out of the box is white is 5/11.

The probability that two balls drawn out of the box are both white is 2/11.

The probability that five balls drawn out of the box are all white is 1/462.

What is the probability?

The probability of drawing a white ball from the box can be found by dividing the number of white balls in the box by the total number of balls in the box:

= 5 / (5 + 6)

= 5/11

The probability of drawing two white balls from the box can be found by multiplying the probability of drawing a white ball on the first draw by the probability of drawing a white ball on the second draw, given that the first ball drawn was white.

= 5/11 x 4/10

= 2/11

The probability of drawing five white balls from the box can be found by multiplying the probability of drawing a white ball on the first draw by the probability of drawing a white ball on the second draw, and so on, for five draws in total.

= 5/11 x 4/10 x 3/9 x 2/8 x 1/7

= 1/462

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We have the data set:

{79, 83, 82, 78, 79, 77, 80, 73, 82, 72}

This data set has 10 items.

To complete the data summary is helpful to sort the data:

{72, 73, 77, 78, 79, 79, 80, 82, 82, 83}

The minimum value is 72.

The quartile divides the data set in 4 parts.

The first quartile is the value for which 25% of the data is below.

The second quartile is the value for which 50% of the data is below. The second quartile is equivalent to the median.

The third quartile is the value for which 75% of the data is below.

In this data set, as its size is a even number, the quartile fall between two positions, so we will calculate the average of this numbers.

The first quartile will fall in the position 0.25*10=2.5. Then we can calculate the 1st quartile as the average between the 2nd and 3rd number of the data set.

This values are 73 (2nd position) and 77 (3rd position), so the average is:

We can repeat this with the other quartiles:

Then:

The first quartile is 75.

The median (second quartile) is 79.

The third quartile is 82.

The maximum value is 83.

Answer:

I believe the answer is the second one

Step-by-step explanation:

Answer:

Lời giải có ở trong ảnh bạn nhé

Answer:

B

Step-by-step explanation:

if i was i your class or in bigger class i will help you

Answer: where is the graph?

As the triangle is dialated by a factor of 1/2 the new triangle will be similar to the previous one.

Hence the angles of the triangle won't change but the sides of the triangle gets reduced to its half.

Thus, the measure of angle A' will be 28 degrees.

The length of AB after dilation will be

Thus, option (C) is the correct solution.