write the equation of the line that passes through the points (-2,3) and (3,2)

The order entry cost associated with a manual order with 10 line items is $16.80.

The order entry cost associated with a manual customer order with 10 line items can be calculated by adding the time it takes to enter basic customer information with the time it takes to enter each line item.

First, we need to calculate the time it takes to enter basic customer information. Since it takes an order entry employee about 0.1 hour to enter the basic customer information for a manual customer order, we can multiply 0.1 by the number of employees needed to enter the information. In this case, we assume one employee is needed to enter the basic information.

0.1 hour x 1 employee = 0.1 hour

Next, we need to calculate the time it takes to enter each line item. Since manual orders require an operator to spend an additional 0.02 hour to enter each line item on the order, we can multiply 0.02 by the number of line items.

0.02 hour x 10 line items = 0.2 hour

Now we can add the time it takes to enter basic customer information with the time it takes to enter each line item.

0.1 hour + 0.2 hour = 0.3 hour

Finally, we can calculate the order entry cost by multiplying the total time by the rate per hour of each order entry employee.

0.3 hour x $56.00 per hour = $16.80

Therefore, the order entry cost associated with a manual order with 10 line items is $16.80.

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Answer:

x=-12

Step-by-step explanation:

½ x+7 = x+13

Multiply both sides

x + 14 = 2x + 26

Move the terms

x - 2x = 26 - 14

Calculate

-x = 12

Change the signs

x = -12

Answer:

This is the complete question;

What is the circumference of the circle?  shown in the image

(use 3.14 for pi )

A 18.84.98 cm

B. 36 cm

C. 37.68 cm

D. 37.7 cm

The circumference of the circle would be "C" 37.68 cm

Step-by-step explanation:

The circumference of a circle is the distance around or right around the circle. The circumference of the circle is also the perimeter of the circle.

The circumference of the circle can be obtained using the relationship below;

C = πd

Where C is the circumference and its unknown

d is the diameter of the circle = 12 cm

π is a constant = 3.14

C = 3.14 x 12

C = 37.68 cm

Therefore the circumference of the circle would be 37.68 cm

a. There are 9 outcomes : 4-1, 4-2, 4-3, 4-4, 3-1, 3-2, 3-3, 2-1, 2-2

b. 32 times ( as there are 3 outcomes out of 9 that has a difference of 1, she should get a 50% odds)

c. 32 times ( as there are also 3 outcomes out of 9 that has a difference of 0)

well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

Given DEF ≅ GJH, find each missing measure: The missing measures in the triangles DEF and GJH can be found by examining the corresponding parts, such as the sides and angles, of both triangles.

If two triangles are congruent, then all their corresponding sides and angles are equal.In triangle DEF, using the correspondence with triangle GJH, it can be found that:\(DE = GJEF = JHFD = GHF\)or this reason, the missing measures in triangle DEF and triangle GJH are equal.Measure of DE = measure of GJ = 7 cmMeasure of EF = measure of JH = 4 cmMeasure of FD = measure of GH = 6 cmGiven GHJ ≅ XYZ, find each missing measure: In a similar way, the missing measures in the triangles GHJ and XYZ can be found. Using the correspondence with triangle XYZ, the missing measures in triangle GHJ can be found, and vice versa.The following are the corresponding parts of triangles GHJ and\(XYZ:GH = XYHJ = XZGJ = YZ\)

Angle GJH = angle YZX

Angle GHJ = angle XYZ

Angle HJG = angle XZY

Using the above correspondences, the missing measures in the triangles GHJ and XYZ can be found.The measure of GH = the measure of XY = 4 cm

The measure of HJ = the measure of XZ = 6 cm

The measure of GJ = the measure of YZ = 5 cm

The angle GJH = the angle YZX = 75 degrees

The angle GHJ = the angle XYZ = 30 degrees

The angle HJG = the angle XZY = 75 degrees.

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The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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Answer: The answer is 31.

Step-by-step explanation:  You have to find the area of the rectangle first by multiplying 12 with 2 which gives you 24. Then you have to find the area of the semi circle through the formula 1/2 x \(\pi\) x radius squared which gives you 6.28 and you round that to 6.9. Then you add 24 and 6.9 to get 30.9 and then you round that to get 31.

the probability of obtaining a sample mean within 500 of the population mean is approximately 0.6827.

To solve this problem, we need to use the central limit theorem which states that the distribution of the sample means will be approximately normal with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size.

Given that the population mean is 51800 and the population standard deviation is 4000, we can calculate the standard error of the mean as follows:

Standard error of the mean = 4000 / sqrt(64) = 500

We want to find the probability of obtaining a sample mean within 500 of the population mean. This can be written as:

P(51800 - 500 < X < 51800 + 500)

where X is the sample mean.

We can standardize this interval using the standard error of the mean:

P(-1 < Z < 1)

where Z is a standard normal variable.

Using a standard normal table, we find that the probability of Z being between -1 and 1 is approximately 0.6827.

Therefore, the probability of obtaining a sample mean within 500 of the population mean is approximately 0.6827.

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Answer:

3:10

Step-by-step explanation:

there are 2 N's and 1 A

Answer:

3/10 or 3:10

Step-by-step explanation:

There are a total of 10 letters in the word ENGAGEMENT. The probability of choosing an N or and A is 3 because there are 2 N's and 1 A for a total of 3 possibilities out of the total number of letters which is 10.

From midnight to 5:00 am, the temperature dropped for 5 hours at 0.5°C each hour, so the total temperature drop was:

5 x 0.5°C = 2.5°C

Let the temperature at midnight be T°C. Then, we can use the information given to set up an equation:

Temperature at 5:00 am = Temperature at midnight - total temperature drop

11.5°C = T°C - 2.5°C

Solving for T, we can add 2.5°C to both sides of the equation:

11.5°C + 2.5°C = T°C - 2.5°C + 2.5°C

14°C = T°C

Therefore, the temperature at midnight was 14°C.

Answer:

1:23 2:346 3:837

Step-by-step explanation:

it's the right answer

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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Recall the definition of each concept to check if it fits the figure.

A) Square: A square is a quadrilateral whose sides all have the same length.

B) Polygon: A polygon is a 2D shape formed by non-intersecting straight segments.

C) Triangle: A triangle is a polygon with exactly 3 sides.

D) Polyhedron: A polyhedron is a 3D shape formed by flat polygonal shapes.

E) Pyramid: A pyramid is a polyhedron formed by a simple polygon whose lateral faces are triangles that converge in a common vertex.

F) Prism: A prism is a polyhedron formed by two parallel and equal polygonal faces, whose lateral faces are parallelograms.

The given object is a 3D shape formed by flat polygonal shapes, with a base that is a quadrilateral and whose lateral faces are triangles that converge in a common vertex.

Therefore, the only two terms that correcty describe the given object are:

D) Polyhedron

E) Pyramid

Answer:

m = 10/.25 = 40 miles

Step-by-step explanation:

At 40 miles the cost of two shuttle services will the same.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Let, The number of miles be 'x'.

Therefore, The equation for two shuttle services are,

0.10x + 10 and 0.35x.

Therefore, The number of miles for which the cost of the two shuttle services are the same is,

0.10x + 10 = 0.35x.

0.10x - 0.35x = - 10.

- 0.25x = - 10.

0.25x = 10.

x = 10/0.25.

x = 40 miles.

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Answer:

yo we xddd

Step-by-step explanation:

Answer:

t²-25t+144

Step-by-step explanation:

\((t-9)(t-16)\\=t^2-16t-9t+144\\=t^2-25t+144\)

Answer:

t^2-25t-144

Step-by-step explanation:

(t-9)*(t-16)

= t^2 -16t-9t-144

= t^2-25t-144

The probability of an event can not be more than the number 1.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1.

Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

\(\rm Probability \; of \;failure = 1-Probability\; of \;success\)

Given information-

Rina spins the spinner less than the 30 times.

A success occurs when the spinner lands on a number that is greater than 6.

A spinner is divided into 8 equals sections and the sections are labeled 1 through 8.

As the probability of success occurs when the spinner lands on a number that is greater than 6, thus the number should grater than six.

This number should be less than 30 as the spinner spins less than the 30 times.

Thus the total number of outcome of this event is,

\(=30-6\\=24\)

Thus the probability of success is,

\(P=\dfrac{6}{24} \\P=\dfrac{1}{4}\)

Hence the probability of success is 1/4.

As the probability of failure of a event is equal to the difference of the 1 to the success of the event.

Thus the probability of failure is,

\(P^-=1-P\\P^-=1-\dfrac{1}{4} \\P^-=\dfrac{4-1}{4} \\P^-=\dfrac{3}{4} \\\)

The probability of failure is 3/4.

Hence,

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Answer:

Option B)

Step-by-step explanation:

Correct on edge22

Answer:

The answer is 0.12

Answer:0.12

Step-by-step explanation:

Please brainliest! :D

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Any graph of a rational function can be obtained from the reciprocal function f(x)=1x f ( x ) = 1 x by a combination of transformations including a translation, stretches and compressions.

In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.

The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.

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Answer:

You have to draw a graph.

Step-by-step explanation:

Multiply all of your sides together to figure out the area then plot the points.

The slant height of the cone is approximately 5 meters.

We can use the Pythagorean theorem to find the slant height of the cone.

The slant height, denoted by l, the height h and the radius r form a right triangle where l is the hypotenuse:

\(l^2 = h^2 + r^2\)

In this case, we are given the height h as 12 m, but we are not given the radius r.

However, we know that the slant height is the distance from the apex of the cone to any point on its circular base.

So, we can draw a line from the apex of the cone to the center of its circular base, which will be perpendicular to the base, and we can use this line as the height of a right triangle that also includes the radius r of the circular base.

Then, we can use the Pythagorean theorem to find the slant height l.

The radius r is half the diameter of the circular base, so we need to find the diameter of the base.

Since we are not given the diameter directly, we need to find it using the height h and the slant height l.

To do this, we can draw a cross section of the cone that includes its circular base and its height, and then draw a line from the apex of the cone to a point on the base that is perpendicular to the diameter of the base.

This line will be the height of a right triangle that also includes the radius r of the base and half the diameter of the base.

Then, we can use the Pythagorean theorem to find the diameter of the base.We have:

\(l^2 = h^2 + r^2r = sqrt(l^2 - h^2)d/2 = sqrt(l^2 - r^2)d^2/4 = l^2 - r^2d^2 = 4(l^2 - r^2)\)

Substituting the expression for r that we found above, we get:

\(d^2 = 4(l^2 - (l^2 - h^2))d^2 = 4h^2d = 2h\)

Now we can substitute this expression for d into the formula for the volume of a cone:

\(V = (1/3) * pi * r^2 * hV = (1/3) * pi * ((2h)/2)^2 * hV = (1/3) * pi * h^2 * 4V = (4/3) * pi * h^3\)

We can solve this formula for h:

\(h = (3V)/(4*pi)^(1/3)\)

Substituting the given volume of the cone, which we will assume is in cubic meters:

\(V = (1/3) * pi * r^2 * h = (1/3) * pi * r^2 * 12V = 16pih = (3(16pi))/(4*pi)^(1/3)\)

h = 4.819 m

Now we can find the slant height using the Pythagorean theorem:

\(l^2 = h^2 + r^2l^2 = (4.819)^2 + ((2(4.819))/2)^2l^2 = 23.187l = 4.815\) \(m\)

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The surface area of the sphere, is approximately 172 square inches.

It should be noted that the Volume of a sphere = (4/3)πr^3

where r is the radius of the sphere.

Setting Volume of sphere equal to Volume of prism, we get:

(4/3)πr^3 = lwh

Plugging in the given value of r = 3.7 in, we can solve for lwh:

(4/3)π(3.7)^3 = lwh

lwh ≈ 209.7 cubic inches

A = 4πr^2

A = 4π(3.7)^2

A ≈ 171.9 square inches

Rounding this to the nearest square inch, we get:

A ≈ 172 square inches

Therefore, the surface area of the sphere, is approximately 172 square inches.

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The equation that represents the situation in which case the percent of successful free throws is 75% during the game is; ( 8 + x ) = 0.75 ( 15 + x ).

It follows from the task content that the equation which represents the situation in which case the percent of successful free throws rises to 75% is to be determined.

As evident in the task content; Initially, Shaq made 8 out of 15 free throws he attempted.

Therefore, let the number of consecutive free throws he has to make to raise the success rate to 75% be; x.

Therefore, it follows from percent proportion that;

( 8 + x ) / ( 15 + x ) = 75 / 100

The simplified equation which represents the required situation is therefore;

( 8 + x ) = 0.75 ( 15 + x ).

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The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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∠FED and ∠DEW are complementary because it is a sum of 90 degrees.

By the law of addition of complementary angles,m∠FED + m∠DEW = 90°

m∠FED + m∠DEW = m∠FEW by the Angle addition postulate.

By the substitution property of equality, m∠FEW = 90°.

The ∠FEW is a right angle by the definition of right angles.

Complementary Angles defined as angles that sum up to 90 degrees.

Now, we are given that;

∠FED and ∠DEW are complementary.

We want to prove that ∠FEW is a right angle. Thus;

∠FED and ∠DEW are complementary because it is a sum of 90 degrees.

By the law of addition of complementary angles, we can say that;

m∠FED + m∠DEW = 90°

Also,

m∠FED + m∠DEW = m∠FEW by the Angle addition postulate.

By the substitution property of equality, m∠FEW = 90°.

The ∠FEW is a right angle by the definition of right angles.

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The time it takes for an orchestra to perform a symphony is not dependent on the number of players. Therefore, the number of players does not directly affect the duration of the performance. In this case, it took the 120-player orchestra 40 minutes to play Beethoven's 9th Symphony.

Assuming that the tempo and performance style remain constant, it is reasonable to assume that a 60-player orchestra would also take 40 minutes to perform the same symphony. The time it takes to play a symphony is primarily determined by the composer's tempo markings and the musicians' interpretation of those markings. Therefore, reducing the number of players does not necessarily mean a shorter performance time.

In summary, the number of players in an orchestra does not determine the time it takes to perform a symphony. The performance time is influenced by factors such as the composer's tempo markings and the musicians' interpretation. Hence, a 60-player orchestra would likely take the same amount of time, approximately 40 minutes, to play Beethoven's 9th Symphony.

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