What is the image point of (-9, -2) after the transformation Rx-axis T-1,3?

There are a total of 600 Employees in the automotive company.

The total number of employees in the automotive company, we need to determine the proportion of employees working in each area.

Let's denote the total number of employees as "x". According to the given information:

- The proportion of employees working in auto parts assembly is 2/3 of the total. So, the number of employees in auto parts assembly is (2/3)x.

- The proportion of employees working in the washing area is 1/8 of the total. So, the number of employees in the washing area is (1/8)x.

- The proportion of employees working in the customer service area is 1/6 of the total. So, the number of employees in the customer service area is (1/6)x.

- The rest of the employees are executives, and the number of executives is given as 25.

We can set up an equation to represent the total number of employees:

(2/3)x + (1/8)x + (1/6)x + 25 = x

To solve this equation, we can simplify and solve for x:

[(16/24)x + (3/24)x + (4/24)x] + 25 = x

(23/24)x + 25 = x

25 = x - (23/24)x

25 = (1/24)x

x = 24 * 25

x = 600

Therefore, there are a total of 600 employees in the automotive company.

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Answer:

It would take Diana 18 minutes

Step-by-step explanation:

Diana's average rate is 30 miles per hour and if you add 10 miles per hour to that you get 40 miles per hour.  Since there are 60 minutes in an hour, divide 60 by 40 (the speed she travels) to find the distance traveled per minute.  You end up getting 1.5 miles per minute as your rate.  Take the total distance (12 miles) times the speed rate per minute (1.5 miles per minute) to find how long it would take to travel the distance.  The answer is 18 minutes

We want to find how many minutes would take Diana to go to Tony's house if she increases her speed by 10mph.

She must travel for 18 minutes to get to Tony's house.

We know that her average speed is 30mph, so if she increases her speed by 10 mph her new speed will be 40mph.

Now, we know that Tony's house is at 12 miles, then we can use the relation:

Distance = Speed*Time

to get the time that she needs to travel to arrive at his house.

We will get:

12 mi = (40 mi/h)*T

(12 mi)/(40 mi/h) = T = 0.3 h

And we want this time in minutes, knowing that one hour has 60 minutes, then:

0.3 h = 0.3*(60 min) = 18 min

It would take 18 minutes to get to Tony's house.

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Answer: Angle AEF is 90°

Step by step explanation:

Given: CDF is a straight line, so the three angles that meet at D must total 180°

Given: ABCD is a square. By definition, all angles are 90° so CDA is 90°

Given: Triangle DEF is equilateral. By definition, all the angles are equal to 60° so angle EDF is 60°

Add angles EDF and ADC and subtract from 180

180 -(90 + 60) = 30

Given: Triangle ADE is iscoceles, so the angles opposite the given equal sides AE and AD are equal.

Angles AED and ADE are equal.

AED = 30°

Angle DEF of the equilateral triangle is 60°

The measure of angle AEF is the sum of angles AED + DEF 30 + 60 = 90.

Therefore the measure of angle AEF is 90°

Interest to be paid daily is $8.68 (E).

To calculate the daily interest, we can use the formula:

Daily Interest = Principal × Interest Rate / Number of Days in a Year

Given that the principal amount is $35,000, the interest rate is 9.05%, and the number of days in a year is 365, we can substitute these values into the formula:

Daily Interest = $35,000 × 9.05% / 365

Calculating this expression gives us:

Daily Interest ≈ $8.68

Therefore, the correct answer is D) $8.68.

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Answer:

b

Step-by-step explanation:

Segment lengths 5, 7, and 9 form an obtuse triangle, segment lengths 3, 5, and √34 form an acute triangle, segment lengths 390, 21, and 28 form an obtuse triangle, and segment lengths 2, 18, and 23 do not form a triangle.

8. The segment lengths 5, 7, and 9 can form a triangle because the sum of any two sides is greater than the third side. To classify the triangle, we can use the Pythagorean theorem. Since 5² + 7² = 25 + 49 = 74 < 9², the triangle is obtuse.

9. The segment lengths form a triangle because the sum of any two sides is greater than the third side. To classify the triangle, we can compare the squares of the side lengths. Since 3² + 5² = 9 + 25 = 34 < (√34)², the triangle is acute.

10. The segment lengths 390, 21, and 28 can form a triangle because the sum of any two sides is greater than the third side. To classify the triangle, we can compare the squares of the side lengths. Since 21² + 28² = 441 + 784 = 1225 < 390², the triangle is obtuse.

11. The segment lengths 2, 18, and 23 cannot form a triangle because the sum of any two sides is not greater than the third side.

In summary, segment lengths 5, 7, and 9 form an obtuse triangle, segment lengths 3, 5, and √34 form an acute triangle, segment lengths 390, 21, and 28 form an obtuse triangle, and segment lengths 2, 18, and 23 do not form a triangle.

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A variable can hold only one piece of data at a given time, representing a specific value of a particular data type. It serves as a named storage location for that single value within a program.

In programming and computer science, a variable is a named storage location that can store a value. It can hold one piece of data, which can be of different types such as integers, floating-point numbers, characters, or boolean values. The specific data type determines the size and format of the data that can be stored in the variable.

When a variable is declared and assigned a value, it reserves memory to store that particular piece of data. The variable can be accessed and manipulated throughout the program, allowing the data it holds to be used in calculations, comparisons, or other operations.

However, it's important to note that variables can be reassigned with different values, effectively replacing the previous data. This allows for dynamic changes to the data held by the variable during the execution of a program.

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A reflection about the x-axis followed by a reflection about the y-axis is equivalent to a rotation of 180 degrees about the point of intersection of the x-axis and the y-axis.

In order to find the measure of the acute or right angle formed by intersecting lines so that C can be mapped to C′ using two reflections, we need to apply the concept of rotations and reflections.

As given, a rotation (x,y) → (-x,-y) maps C to C′.

Now, if we reflect C′ across the x-axis, we get (-x,y) which is nothing but C reflected about the x-axis.

Again if we reflect C′ across the y-axis, we get (x,-y) which is nothing but C reflected about the y-axis.

Thus, to map C to C′ using two reflections, we reflect C about the x-axis and then about the y-axis.

Hence, the angle of rotation required to map C to C' is 180 degrees as one reflection is equivalent to a 180-degree rotation and hence, two reflections would be equivalent to a 360-degree rotation which is the same as no rotation at all (or a 0-degree rotation).

Therefore, the measure of the acute or right angle formed by intersecting lines so that C can be mapped to C′ using two reflections is 180 degrees.

Note: This can also be proven by the fact that reflections are equivalent to rotations about a line through the point of intersection of the two lines being reflected across.

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Answer:D(38) I think

Step-by-step explanation:

The value of ([tex]y^{(-1)[/tex])′(0) for the given curve, with the point (1/6, 0) on it, is 1.

Given that the point (1/6, 0) lies on the curve, we can determine the value of ([tex]y^{(-1)[/tex])′(0) by evaluating the derivative of the inverse function [tex]y^{(-1)[/tex] at x = 0.

Since y(1/6) = 0, we can interpret this as the point (x, y) = (1/6, 0) on the original function.

To find the derivative of the inverse function, we swap the roles of x and y and differentiate implicitly:

x = [tex]y^{(-1)[/tex]

Differentiating both sides with respect to y:

1 = ([tex]y^{(-1)[/tex])′

Now, we evaluate this derivative at y = 0:

([tex]y^{(-1)[/tex])′(0) = 1

Therefore, the value of ([tex]y^{(-1)[/tex])′(0) is 1.

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Answer:

8:10 and 12: 15

Step-by-step explanation:

we have to multiply

Answer:

16/20

Step-by-step explanation:

Answer:

208

Step-by-step explanation:

(-1)(-16)=16

16×13=208

Answer:

the answer is

B. (0, 5) and (−2, 9)

C. (−1, 7) and (2, 1)

Step-by-step explanation:

hope that help...…..…..…

Answer:

x>5

Step-by-step explanation:

5-5=0 this is wrong. 5.0002-5= is greater than zero.

Answer:

[tex] GH = 6.3 [/tex] (nearest tenth)

Step-by-step explanation:

Given:

G(-2, -3)

H(0, 3)

Required:

Distance between point G and H = GH

Solution:

Distance between G(-2, -3) and H(0, 3):

[tex] GH = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] G(-2, -3) = (x_1, y_1) [/tex]

[tex] H(0, 3) = (x_2, y_2) [/tex]

[tex] GH = \sqrt{(0 - (-2))^2 + (3 - (-3))^2} [/tex]

[tex] GH = \sqrt{(2)^2 + (6)^2} [/tex]

[tex] GH = \sqrt{4 + 36} = \sqrt{40} [/tex]

[tex] GH = 6.3 [/tex] (nearest tenth)

Answer:

52.2% percentage are men.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A rational number times, minus or plus a irrational number is and will always be an irrational number.

Answer:

The length of the cube is 170 mm

Step-by-step explanation:

Volume of Solids

The volume of a cube of length a is:

[tex]V_c=a^3[/tex]

The shot put ball is spherical with a volume of 4,913,000 cubic millimeters. The ball is melted and converted into a cube, thus we have the volume of the cube.

Let's solve the equation of the volume of the cube for a:

[tex]a=\sqrt[3]{V_c}[/tex]

[tex]a=\sqrt[3]{4,913,000}=170\ mm[/tex]

The length of the cube is 170 mm

Answer:

1. For a cube, volume = [tex]edge^{3}[/tex]

2. [tex]\sqrt[3]{volume}[/tex] = edge

3. Volume of the cube = 216 so, the edge = [tex]\sqrt[3]{216}[/tex] = 6

4. 1st blank = 6

   2nd blank = 6

   3rd blank = 216

   4th blank = 216

5. 6 is the edge

6. As the room is a square and we have to find the side

Area = 121

Edge = [tex]\sqrt[2]{121}[/tex] = 11

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Answer:

-1/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use of formulas:

Given the expression:

Factoring 729

Factoring the expression

The model with a bias of 1 is less biased compared to the model with a bias of -40.

Bias in the context of predictive models refers to the tendency of a model to consistently underpredict or overpredict the target variable. A negative bias indicates that the model consistently underpredicts the target, while a positive bias suggests that the model consistently overpredicts the target.

In this case, the first model with a bias of -40 indicates that, on average, its predictions are 40 units lower than the actual values of the target variable. This suggests a systematic underprediction by the model.

On the other hand, the second model with a bias of 1 implies that, on average, its predictions are only 1 unit higher than the actual values of the target variable. This indicates a much smaller deviation from the actual values and suggests a lower level of systematic error compared to the first model.

Therefore, based on the given information, the model with a bias of 1 is less biased compared to the model with a bias of -40. However, it's important to note that bias alone is not the only factor to consider when evaluating the performance of predictive models.

Other metrics, such as accuracy, precision, and recall, should also be taken into account to have a comprehensive understanding of the models' performance and effectiveness.

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Answer:

a. mix another 2 cups of blue paint with 1 gallon of white paint

b. add more than 2 cups of blue paint with 1 gallon of white paint

Step-by-step explanation:

Answer: 13

Step-by-step explanation: 30-17=13.

Answer:

Below in bold.

Step-by-step explanation:

18 and 24 have the greatest Common Factor 6.

The ratio is18:24

The lowest ratio is obtained by dividing both numbers by 6:

= 3:4.

Answer:

12/8

Step-by-step explanation:

To find a reciprocal of a fraction, just flip the numbers upside down or invert it.    

In other words, swap the numerator over the denominator to get the reciprocal.

Example: 3/4 → 4/3

Have a great day and stay safe!

The Greatest concentration of the medication that a patient will have in their body is 8 mg/L, which occurs at t = 2.The maximum concentration of the medication that a patient will have in their body is 8 mg/L.

Part A:

To determine the domain and range of the function C(t) = -2t^2 + 8t, we need to consider the context of the problem.

Domain:

The domain of a function represents the set of all possible input values. In this case, the function represents the concentration of the medication after being injected into a patient. Since time, t, is the independent variable representing hours after injection, it should be a non-negative value.

To find the domain, we need to determine the range of valid values for t. Since time cannot be negative in this context, the domain of the function is t ≥ 0.

Range:

The range of a function represents the set of all possible output values. In this case, the function represents the concentration of the medication, C(t), in mg/L.

To find the range, we can analyze the behavior of the function. The function is a quadratic equation, which opens downward since the coefficient of the t^2 term is negative (-2). This means that the maximum concentration will occur at the vertex of the parabolic curve.

The vertex of a quadratic function can be found using the formula: t = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -2 and b = 8. Substituting these values into the formula, we get:

t = -8 / (2(-2))

t = -8 / (-4)

t = 2

Therefore, the vertex occurs at t = 2.

Substituting t = 2 back into the original function, we can find the maximum concentration:

C(2) = -2(2)^2 + 8(2)

C(2) = -2(4) + 16

C(2) = -8 + 16

C(2) = 8

The maximum concentration of the medication that a patient will have in their body is 8 mg/L.

Part B:

To graph the function C(t) = -2t^2 + 8t and determine the greatest concentration, we can plot points and sketch the parabolic curve.

We can choose different values of t and calculate the corresponding values of C(t):

When t = 0, C(0) = -2(0)^2 + 8(0) = 0

When t = 1, C(1) = -2(1)^2 + 8(1) = 6

When t = 2, C(2) = -2(2)^2 + 8(2) = 8

When t = 3, C(3) = -2(3)^2 + 8(3) = 6

Plotting these points on a graph, we can connect them to form a parabolic curve.

The graph will be a downward-opening parabola, and the vertex will be at t = 2, C = 8.

The greatest concentration of the medication that a patient will have in their body is 8 mg/L, which occurs at t = 2.

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(a) Kwan will drive approximately 1.276 miles in 2 hours at his constant speed. (b) The equation representing the distance Kwan has driven (D) in terms of time (t) is D = 0.638t. (c) Kwan will drive approximately 0.1595 miles in 15 minutes, and (d) Kwan's trip of 234 miles will take approximately 366.8 hours at his constant rate.

(a) To determine how far Kwan will drive in 2 hours at the same constant speed, we can use the concept of proportionality. We can set up a ratio between the distance and time:

Distance / Time = Constant Speed

Let's calculate the constant speed first:

Constant Speed = Distance / Time

                 = 90 miles / 141 hours

                 ≈ 0.638 miles per hour

Now we can use the constant speed to find the distance Kwan will drive in 2 hours:

Distance = Constant Speed × Time

            = 0.638 miles per hour × 2 hours

            ≈ 1.276 miles

Therefore, Kwan will drive approximately 1.276 miles in 2 hours at this rate.

(b) The equation for D (distance) in terms of t (time) can be written as follows:

D = Constant Speed × t

Using the constant speed calculated earlier (0.638 miles per hour), the equation becomes:

D = 0.638t

(c) To determine how far Kwan drives in 15 minutes (0.25 hours), we can substitute t = 0.25 into the equation from part (b):

D = 0.638 × 0.25

    = 0.1595 miles

Therefore, Kwan will drive approximately 0.1595 miles in 15 minutes at this rate.

(d) If Kwan is driving a total of 234 miles, we can rearrange the equation from part (b) to solve for t:

D = 0.638t

234 = 0.638t

Dividing both sides of the equation by 0.638:

t = 234 / 0.638

   ≈ 366.77 hours

Kwan's trip will take approximately 366.8 hours.

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