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Polygon ABCD with verticals at A(1, -1), B(3, -1), C(3, -2), and D(1, -2) is dilated to create polygon A'B'C'D' with verticals at A'(4, -4), B'(12, -4), C'(12 -4), and D'(4 -8). Determine the scale factor used to create the image.
A. 1/4
B. 1/2
C. 2
D. 4​

Correct answer is option c and this ia how to solve it

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Answer:

Holaaa te amo mucho besos

Quiero hermoso y el tema del pueblo de

Answer: 162°

Step-by-step explanation:

To find the answer to this question, we need to find what 45% of 360 degrees (a circle) is.

First, a percent divided by 100 becomes a decimal.

       45% / 100 = 0.45

Next, "of" means multiplication in mathematics.

       0.45 * 360 = 162

The central angle will be 162°.

Answer:

Step-by-step explanation:

15

5x0.6 is 3 and 2.4 times 5 is 12. 12 +3 is 15

Answer:

The answer is 18tt

Step-by-step explanation:

I took the exam and I got the question right for FLVS

Por lo tanto, the final temperature of the iron will be approximately 38.70 °C if 1300 calories are supplied.

To resolve this problem, we need to use the formula for the amount of heat transferred:

Q = m * c * ΔT

Donde:

Q es la quantity de calor transferido

m es la masa del material (in grams)

c es la capacidad calorífica specifica del material (en cal/g°C)

ΔT is the change in temperature (in °C)

First, we must determine the specific calorific capacity of iron. For iron, the specific calorific capacity is approximately 0.11 cal/g°C.

Now, we can calculate the change in temperature (ΔT) using the formula:

ΔT = Q / (m * c)

Substituyendo los valores conocidos:

ΔT = 1300 cal / (600 g * 0.11 cal/g°C)

ΔT = 1300 cal / 66 cal/°C

ΔT ≈ 19.70 °C

Finally, we can calculate the final temperature by adding the change in temperature (ΔT) to the initial temperature:

Temperature final = Temperature initial + ΔT

Final temperature = 19 °C + 19.70 °C

Final temperature ≈ 38.70 °C

Por lo tanto, the final temperature of the iron will be approximately 38.70 °C if 1300 calories are supplied.

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The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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The side length of the cube with a volume of 1433 in³ is approximately 11.209 inches.

To find the side length of a cube with a volume of 1433 in³, we can use the equation V = s³, where V is the volume and s is the measure of one side of the cube.

Now, let's solve for the side length (s):

s = ∛V

Plugging in the given volume (V = 1433 in³) into the equation, we have:

s = ∛1433

Using a calculator to evaluate the cube root, we find:

s ≈ 11.209

Therefore, the side length of the cube with a volume of 1433 in³ is approximately 11.209 inches.

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Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.

To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.

For the 3 percent interest account:

Interest_3_percent = x × 0.03

For the 9 percent interest account:

Interest_9_percent = 2x × 0.09

We know that the total annual interest is $3120, so we can set up the equation:

Interest_3_percent + Interest_9_percent = 3120

Substituting the above equations, we have:

x × 0.03 + 2x × 0.09 = 3120

Simplifying the equation:

0.03x + 0.18x = 3120

0.21x = 3120

Dividing both sides of the equation by 0.21:

x = 3120 / 0.21

x = 14857.14

Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.

Answer:

Step-by-step explanation:

X is the amount invested at 6%

Y is the amount invested at 9%

0.06X + 0.09Y = 4998

X = 2Y

0.06(2Y) + 0.09Y  = 4998

.12Y + 0.09Y = 4998

0.21Y = 4998

21Y = 499800

Y = 499800/21 = 23800

So X = 2*23800 = 47600

$47,600 is invested at 6% and $23800 is invested at 9%

Answer:

The answer is D.

Step-by-step explanation:

The function g(x) is a linear function with a y-intercept of 6 and a slope of 0, which means it is a horizontal line. Therefore, any function that is not a horizontal line will have a different end behavior than g(x). The statement that correctly compares the two functions is: "They have the same y-intercept but different end behavior." The answer is D.

Answer:

The function g(x) = 4(1) + 2 simplifies to g(x) = 6. This is a constant function that has a y-intercept of 6 and no end behavior. Therefore, it cannot be compared to another function in terms of end behavior. The correct answer is D: They have the same y-intercept but different end behavior.

The length of arc PR in the circle is 8π units.

The arc length PR in the circle can be found as follows:

Arc length is the distance between two points along a section of a curve. In other words, an arc length is measured by taking a part of the whole circle

arc length = ∅ / 360 × 2πr

where

Therefore,

∅ = 120 degrees

r = 8 units

Hence,

arc length = 120 / 360 × 2 × π × 8

arc length = 1 / 2 × 16π

arc length = 8π

Therefore,

arc length = 8π units

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Check the picture below.

since the pyramid is a hexagonal one, so the base of it is a regular hexagon in this case, that means that we can split up the base into six equilateral triangles, keeping an eye on the equiateral triangle in the picture, let's find it's altitude of "y", which is the perpendicular distance from the center to a side.

[tex]\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2}~~ \begin{cases} s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ s=6 \end{cases}\implies h=\cfrac{6\sqrt{3}}{2}\implies h=3\sqrt{3}\implies h=\sqrt{27}=y[/tex]

now, since we know what "y" is, let's use that green triangle on the right, to find the altitude of each triangular face in the pyramid, namely "z".

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2 \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{z}\\ a=\stackrel{adjacent}{\sqrt{27}}\\ o=\stackrel{opposite}{8} \end{cases} \\\\\\ (z)^2= (\sqrt{27})^2 + (8)^2\implies z^2=27+64\implies z^2=91\implies z=\sqrt{91} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{ \textit{area of six triangles} }{6\left[\cfrac{1}{2}(\underset{b}{6})(\underset{h}{\sqrt{91}}) \right]}\implies 18\sqrt{91} ~~\approx ~~ \text{\LARGE 171.71}\impliedby \textit{lateral area}[/tex]

The graph of the function y = -3√x - 6 is a downward translation of 6 units with a vertical reflection compared to the graph of the parent function y = √x.

To graph the transformed function y = -3√x - 6, we will apply the following transformations to the parent function y = √x:

Translation:

Reflection:

The graph is reflected over the x-axis due to the negative coefficient (-3) in front of the square root function. This means that each point on the transformed graph is vertically flipped in relation to the corresponding point on the parent graph.

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Answer: 5 + 3 = 8

This statement represents the addition of 5 and 3, which equals 8.

Step-by-step explanation:

Answer:

1.c 2.b 3.a 4.h 5.g 6.f 7.d 8.e

Step-by-step explanation:

The ones with negatives are e,f,g,h. They open downward because of the negative. The ones with bigger fractions are the widest because the bigger the denominator, the more they reach out left and right. The ones that have whole numbers are tall and skinny.

The speed of the freight train is 30 mph, and the speed of the passenger train is 30 + 8 = 38 mph.

We have,

Let's denote the speed of the freight train as x mph.

Since the speed of the passenger train is 8 mph faster, we can denote the speed of the passenger train as (x + 8) mph.

To find the speeds of each train, we can use the formula:

Speed = Distance / Time

For the passenger train: (x + 8) = 280 / t, where t is the time taken to travel 280 miles.

For the freight train: x = 240 / t, where t is the time taken to travel 240 miles.

Since the times taken for both trains are the same, we can set the two equations equal to each other:

(x + 8) = 280 / t = x = 240 / t

Cross-multiplying the equation, we have:

(x + 8) t = x (280 / t)

xt + 8t = 280

xt - x = 240

Simplifying the equation, we get:

xt - x = 240

x(t - 1) = 240

Dividing both sides by (t - 1):

x = 240 / (t - 1)

Substituting the value of x in the first equation:

(x + 8) = 280 / t

240 / (t - 1) + 8 = 280 / t

Simplifying the equation, we get:

240t + 8(t - 1) = 280(t - 1)

240t + 8t - 8 = 280t - 280

248t - 8 = 280t - 280

280 - 8 = 280t - 248t

272 = 32t

t = 272 / 32 = 8.5

Substituting the value of t in the equation for x:

x = 240 / (t - 1) = 240 / (8.5 - 1) = 30

Therefore,

The speed of the freight train is 30 mph, and the speed of the passenger train is 30 + 8 = 38 mph.

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Answer:

a) The amount financed is the purchase price minus the down payment, which is:

$15,000 - $3,000 = $12,000

Therefore, the amount financed is $12,000.

b) The total amount of monthly payments is the monthly payment multiplied by the number of payments, which is:

$300 x 48 = $14,400

Therefore, the total amount of monthly payments is $14,400.

c) The finance charge is the total amount of payments minus the amount financed, which is:

$14,400 - $12,000 = $2,400

Therefore, the amount of the finance charge is $2,400.

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

The number of different committees that can be formed from a list of 10 people is given by the combination formula:

n C r = n! / (r! * (n-r)!)

where n is the total number of people, and r is the number of people to be selected for the committee.

In this case, we have n = 10 and r = 5, so the number of different committees that can be formed is:

10 C 5 = 10! / (5! * (10-5)!) = 252

Therefore, there are 252 different committees that can be formed from a list of 10 people.

Step-by-step explanation:

Answer:

Step-by-step explanation

The perimeter of the figure is 58 m.

To find the perimeter of the given figure we can divide the figure in three rectangles.

Rectangle 1:

Perimeter= 2 (l + w)

= 2(5 + 2)

= 2 x 7

= 14 m

Rectangle 2:

Perimeter= 2 (l + w)

= 2(5 + 1)

= 2 x 6

= 12 m

Rectangle 3:

Perimeter= 2 (l + w)

= 2(14 + 2)

= 2 x 16

= 32 m

So, the perimeter of the figure is

= 14 + 12 + 32

= 58 m

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The approximate value of the ratio of the large spiral to the smaller spiral is 16:1.

To find the ratio of the large spiral to the smaller spiral, we can divide the length of the large spiral by the length of the smaller spiral.

Ratio = Length of large spiral / Length of small spiral

Given:

Length of large spiral = 144 units

Length of small spiral = 9 units

Ratio = 144 units / 9 units

To simplify the ratio, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 144 and 9, which is 9.

Ratio = (144 units / 9 units) / (9 units / 9 units)

= 16 / 1

= 16

Therefore, the approximate value of the ratio of the large spiral to the smaller spiral is 16:1.

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Yes.

[tex]7.4z-5(-1.6z+2.4)=7.4z+8z-12=15.4z-12[/tex]

a. The y-intercept is equal to -8.

b. The connection between the y-intercept and the rule y = x² - 2x - 8 is that it can be determined when x is substituted with 0.

c. The x-intercepts are (-2, 0) and (4, 0).

d. The lowest point of the graph, called the vertex is (1, -9).

In Mathematics, the x-intercept is sometimes referred to as horizontal intercept and the x-intercept of the graph of any function simply refers to the point at which the graph of a function crosses or touches the x-coordinate (x-axis) and the y-value or value of "y" is equal to zero (0).

Part a.

For the y-intercept of the function, we have:

y = x² - 2x - 8

y = 0² - 2(0) - 8

y = -8

Therefore, the y-intercept is (0, -8).

Part b.

We can logically deduce that the connection between the y-intercept and the function rule y = x² - 2x - 8 is that the y-intercept can be determined when the value of x is substituted with 0.

Part c.

When y = 0, the x-intercept can be determined as follows

y = x² - 2x - 8

0 = x² - 2x - 8

0 = x² + 2x - 4x - 8

0 = x(x + 2) - 4(x + 2)

0 = (x + 2)(x - 4)

Therefore, the x-intercept is (-2, 0) and (4, 0).

Part d.

In Mathematics, the vertex of a graph refers to the lowest or topmost point on a graph and it is equal to (1, -9) in this scenario;

y = x² - 2x - 8

y = 1² - 2(1) - 8

y = 1 - 10

y = -9

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The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

Here, we have,

we know that,

The sum of the angles in a triangle add to 180

x+2x+6x = 180

Combine like terms

9x= 180

Divide by 9

9x/9 = 180/9

x = 20.

Hence, The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

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complete question:

The sum of the angle measures in a triangle is 180°. The angles of a certain triangle measure x°, 2x°, and 6x°. Solve for x.

The best estimate of the residual value is (d) -0.25

From the question, we have the following parameters that can be used in our computation:

The scatter plot

From the scatter plot, we have

(x, y) = (2, 2) and (6.5, 4)

A linear equation is represented as

y = mx + c

So, we have

2m + c = 2

6.5m + c = 4

So, we have

4.5m = 2

Evaluate

m = 4/9

Next, we have

2 * 4/9 + c = 2

So, we have

c = 10/9

So, the equation is

y = 4/9x + 10/9

When x = 5. we have

Predicted = 3.33

Actual = 3

So, we have

residual = actual - predicted

This gives

residual = 3 - 3.33

Evaluate

residual = -0.33

The closest to this is -0.25

Hence, the best estimate of the residual value is (d) -0.25

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Answer:

84

34

27

Step-by-step explanation:

The calculated value of the circumference of the circular ring is 37.68 meters

From the question, we have the following parameters that can be used in our computation:

Diameter, d = 12 meters

Using the above as a guide, we have the following:

Circumference = π * d

Substitute the known values in the above equation, so, we have the following representation

Circumference = 12 * 3.14

Evaluate the products

Circumference = 37.68

Hence, the value of the circumference is 37.68 meters

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The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

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Answer:

B

Step-by-step explanation:

the line crosses the x-axis at -1 and crosses the y at 0.5.