Triangle XYZ has vertices X(-1, -3), Y(0, 0), and Z(1, -3). Malik rotated the triangle 90° clockwise about the origin. What
is the correct set of image points for triangle X'Y'Z?
O X (3, -1), Y'(0, 0), Z (3, 1)
O X'(1, 3), Y'(0, 0), Z'(-1,3)
O X'(1, -3),Y (0, 0), Z'(-1, -3)
O X(-3, 1), Y'(0, 0), Z'(-3,-1)

The car will cost $ 800 after a depreciation time of approximately 6 years.

Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:

c(t) = c' + m · t

Where:

If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:

m = (12,000 - 36,000) / (4 - 0)

m = - 24,000 / 4

m = - 6,000

800 = 36,000 - 6,000 · t

6,000 · t = 35,200

t = 35,200 / 6,000

t = 5.867

The expected depreciation time is approximately 6 years.

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Answer:

  f(x) = 2(1/3)^x

Step-by-step explanation:

To find the parameters of this exponential equation, follow the instructions given in the hint.

__

  b = 6/18 = 1/3 . . . . . divide 6 by 18 to find 'b'

  18 = a(1/3)^-2 . . . . . substitute a point and 'b' in the equation

  18(1/3)^2 = a = 2 . . . . multiply by (1/3)^2

The equation is ...

  f(x) = ab^x

  f(x) = 2(1/3)^x

a) If each plant is required to reduce its pollution by 5,000 tonnes, we can calculate the pollution control costs for each firm using the given marginal cost curves. For Plant 1, MCC1 = 0.02Q, where Q represents the tonnes of pollution reduction. Similarly, for Plant 2, MCC2 = 0.03Q.

For both firms, since the pollution reduction is fixed at 5,000 tonnes, we substitute Q = 5,000 into the respective marginal cost curves:

MCC1 = 0.02 * 5,000 = $100

MCC2 = 0.03 * 5,000 = $150

Therefore, Plant 1's pollution control costs will be $100 and Plant 2's pollution control costs will be $150.

The graph for Plant 1 will have a linearly increasing slope starting from the origin, and the graph for Plant 2 will have a steeper linearly increasing slope starting from the origin.

b) With a pollution tax of $120 per tonne of pollution emitted, each firm's pollution reduction costs will be affected. The firms will now have to pay the pollution tax in addition to their pollution control costs.

Without considering taxes, Plant 1's pollution control costs were $100, and Plant 2's costs were $150 for a total of $250. However, with the pollution tax, the costs will change. Let's assume the firms still need to reduce their pollution by 5,000 tonnes.

For Plant 1: Pollution control costs = MCC1 * Q = 0.02 * 5,000 = $100 (same as before)

Total costs for Plant 1 = Pollution control costs + (Tax per tonne * Tonnes of pollution emitted)

Total costs for Plant 1 = $100 + ($120 * 5,000) = $610,000

Similarly, for Plant 2: Pollution control costs = MCC2 * Q = 0.03 * 5,000 = $150 (same as before)

Total costs for Plant 2 = Pollution control costs + (Tax per tonne * Tonnes of pollution emitted)

Total costs for Plant 2 = $150 + ($120 * 5,000) = $750,000

The total pollution reduction costs with the tax are now $610,000 for Plant 1 and $750,000 for Plant 2, resulting in higher costs compared to part a. This difference arises because the tax imposes an additional financial burden on the firms based on their emissions.

To support this answer, we can draw two graphs, one for each firm, with the tonnes of pollution emitted on the x-axis and the total costs on the y-axis. The graphs will show an increase in costs due to the tax.

c) In a tradable permit scheme where 6,000 permits are issued, with 3,000 permits to each plant, the pollution reduction costs to each firm without trading can be determined.

Since Plant 1 and Plant 2 each receive 3,000 permits, they can each emit up to 3,000 tonnes of pollution without incurring any additional costs. However, if they need to reduce their pollution beyond the allocated permits, they will have to incur pollution control costs as calculated in part a.

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Answer:

18 I think

Step-by-step explanation:

The median of the set of data this box-and-whisker plot represents is 16.

The lowest values is given by the minimum which is 1.

A box and whisker plot or diagram (also known as a boxplot) is a graph that summarises a collection of data. The form of the boxplot indicates how the data is distributed as well as any outliers. Because you can draw more than one boxplot per graph, it's a good way to compare different sets of data.

From the Given Box and Whisker plot we have the following information

Minimum = 12

Lower Quartile = 15

Median = 16

Upper Quartile = 18

Maximum = 20

Thus, the lowest values is given by the minimum which is 1.

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Answer: 15 and 1/4

Step-by-step explanation:

3 + 4 + 3 + 4 + 3/16+3/16+7/16 + 7/16

14 + 20/16

14+ 1 4/16

15 and 1/4

aa aa a a aaaaaa a a aa a saa a

True. A pie chart is a segmented circle that represents different categories and their relative sizes based on a numerical variable.

A pie chart is a circular statistical graphic divided into sectors, or "slices," which correspond to different categories or groups. The size of each sector is proportional to the value it represents within the given numerical variable. The chart is named after its resemblance to a sliced pie, with each slice representing a portion or percentage of the whole. Pie charts are commonly used to display data with discrete categories, such as survey results, market shares, or budget allocations. The length of each sector's arc is determined by the magnitude of the data it represents, allowing for easy visual comparison between categories. The whole pie represents 100% or the total of the variable being measured. By examining the relative sizes of the sectors, one can quickly understand the distribution and proportions of the categories being represented. Therefore, it is accurate to say that a pie chart is a segmented circle that portrays the categories and their relative sizes based on a numerical variable.

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Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)

Use tangent:

tan x = 8/15

x = arctan (8/15)

x = 28.1° (rounded)

Step-by-step explanation:

The approximately 16.67 minutes of video will fit in a 128 gigabyte memory.

To calculate how many minutes of video will fit in a 128 gigabyte memory, we need to know the size of each frame. Let's assume that each frame is of equal size. First, we need to convert the memory size from gigabytes to bytes. Since 1 gigabyte is equal to 1,073,741,824 bytes, the memory size becomes:
128 gigabytes * 1,073,741,824 bytes per gigabyte = 137,438,953,472 bytes

Next, we need to calculate the size of each frame. To do this, we divide the memory size by the number of frames:
137,438,953,472 bytes / 60 frames per second = 2,290,649,224.53 bytes per frame

Now, we need to calculate how many frames we can fit in the memory. To do this, we divide the memory size by the size of each frame:
137,438,953,472 bytes / 2,290,649,224.53 bytes per frame = 60,000 frames

Since there are 60 frames per second, we can calculate the duration of the video by dividing the number of frames by 60:
60,000 frames / 60 frames per second = 1,000 seconds

Finally, we convert the duration from seconds to minutes:
1,000 seconds / 60 seconds per minute = 16.67 minutes

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In the drawing, the length of the pool can be determined by using the given ratio between 1 millimeter and 6 meters. If the actual length of the pool is 42 meters, we can find the length of the pool in the drawing by scaling the ratio accordingly.

The given ratio states that 1 millimeter corresponds to 6 meters. We can use this ratio to determine the length of the pool in the drawing.

If the actual length of the pool is 42 meters, we need to scale the ratio to match this length. Since 6 meters corresponds to 1 millimeter, we can calculate the length in millimeters by multiplying 42 meters by the ratio: 42 meters * (1 millimeter / 6 meters).

Simplifying this expression, the meters cancel out, leaving us with the length of the pool in millimeters. By evaluating the expression, we can determine the length of the pool in the drawing based on the given ratio.

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Answer:

1. Slope: -2/1, Y intercept: 1

2. Slope: 1, y intercept: -15

3. Slope : 3/2, y intercept : -2

4. Slope: 1, y intercept: 9

We need to do a rule of three, so we have that

So, the answer is he can travel in 2 hours 259.8 miles.

Answer:

35.97

Step-by-step explanation:

Answer:

It should be 35.97

Step-by-step explanation:

The radius of the circle is r = 3.78 cm for the given circle.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that the angle of the sector of the circle is 1.2 radians the area of the sector is 54 cm².

The radius of the circle will be calculated as:-

Area = Angle x πr²

54 = 1.2 x πr²

r² = ( 54 ) / ( 1.2 x π )

r² = 14.32

r = √14.32

r = 3.78 cm

Therefore, the radius of the circle is 3.78 cm.

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Answer:

B

-10-10=20

10+10=20

20/20=0

Answer:

Step-by-step explanation:

Slope-intercept from: y = mx +c

Here, m is the slope & c is the y-intercept.

So, we have to isolate y. To isolate y first subtract 2x from both sides.

2x - 3y = -9

     -3y = -2x -9

Now, divide the entire equation by the co efficient of y (-3)

\(\dfrac{-3}{-3}y=\dfrac{-2}{-3}x-\dfrac{9}{-3}\\\\\\y=\dfrac{2}{3}x + 3\)

Answer:

-10

Step-by-step explanation:

yea i just did a test

Answer:

∠A≅∠Y        AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X         BC≅ZX

ΔABC ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

Step-by-step explanation:

a right angle contains 90° (always)

according to the question

x+3+x-1+x+1=90

3x3=90

x=87

x=29

The -1 part is not inside the natural log.

==============================================

Work Shown:

1 + 2*e^(x+1) = 9

2*e^(x+1) = 9-1

2*e^(x+1) = 8

e^(x+1) = 8/2

e^(x+1) = 4

x+1 = Ln(4)

x = Ln(4) - 1

The teacher's goal in introducing students to a card game where they must find the missing addend could be to develop and enhance their algebraic reasoning skills.

By presenting the problem as a puzzle or game, the teacher aims to engage the students in a fun and interactive way while fostering their ability to think critically and solve mathematical problems. The game helps students practice identifying the missing addend and applying algebraic thinking to find the solution. Additionally, it promotes the development of problem-solving strategies, logical reasoning, and the ability to generalize mathematical patterns, which are foundational skills in algebraic reasoning.

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Answer: (4,7)

Step-by-step explanation:

the person before me is correct :D i got it right on my quiz

The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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Answer:

75 dollars.

Step-by-step explanation:

Each person costs 25 dollars and p=3 we just put this into a equation.

25 × 3 = 75

C = 75

The value of the determinants of the matrix | 5 3 | |7 9 | is 24

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns which is used to represent a mathematical object or a property of such an object.

Also, It provides two benefits: compact notation for describing sets of data and sets of equations as well as efficient methods for manipulating sets of data and solving sets of equations.

For the given matrix, the determinant Det is:

Det = (5*9) - (7*3)

So, we have

det. = 45 - 21

Evaluate the difference

det = 24

herefore the determinant is equal to 24

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Answer:

45.75

Step-by-step explanation:

95 x .7 = 66.5

66.5 x .8 = 53.2

53.2 x .8 = 42.56

42.56 x 1.075 = 45.75

Answer:

x = -1

Step-by-step explanation:

4x=-3x-7

Add 3x to each side

4x+3x=-3x+3x-7

7x = -7

Divide each side by 7

7x/7 = -7/7

x = -1

Answer:

$45.36

Step-by-step explanation:

100 + 8 = 108

42/100 X 108 = 45.36

100 + 8 = 108