Based on the given image and pre image, determine the transformation that occurred. Justify the
transformation occurred by showing evidence of some kind.

a) The center of expansion is at point P.

b) Triangle B is the reduction of A with a scale factor of about 3.

c) Triangle A is a reduction of B with a scale factor of about 13.

d) Triangle B is a miniature of C with a scale factor of approximately 23.

The scale factor is the ratio of change that occurs due to a change in the size of the shape.

Scale factor = Measurement of a new object ÷ Measurement of an old object

The dilation in scale factor from triangle A to triangle B could be assumed as (6 ÷ 2) + 10 = 13 from the point of dilation that is P.

Similarly, the dilation of triangle B to triangle C is lesser compared to triangle A to triangle B which could be assumed as 23.

When using the dilation approximation, the length of the side starting at the nearest point A is 2 cm. The corresponding segment length of B is approximately 6 cm. The scale factor is approximately 6 ÷ 2 = 3.

Similarly, triangles B and C can be considered equal to 13 and 23, respectively.

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Answer:

236

Step-by-step explanation:

100+100+36=236

Answer:

C. 180

Step-by-step explanation:

The given expression r1 r2 f1 r3 f2 f3 r3 represents a Reflection.

Given, r1, r2, and r3 represent rotations from dn and f1, f2, and f3 represent reflections from dn.

we have to determine that whether r1 r2 f1 r3 f2 f3 r3 is a rotation or a reflection.

So, on solving the expression, we get

r1 r2 give 2 rotations.

then, f1 give 1 reflection

after that r3 give again one rotation

then, f2 f3 give 2 reflections

and at last r3 give one rotation.

as, a result we got a reflection.

So, the given expression r1 r2 f1 r3 f2 f3 r3 represents a Reflection.

Hence, the given expression r1 r2 f1 r3 f2 f3 r3 represents a Reflection.

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Answer: its 236

Step-by-step explan

The probability of finding 0 contaminated pieces in  225 g of chocolate is 5.57 X 10⁻⁷.

Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.

Hence we get X ~ Poi(λt)

where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.

For P(X = x) we get [(λt)ˣ  e^(-λt)]/x!

Here λ = 14.4 and t = 1 Hence we will get

P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!

Here we need to find the probability of the no. of contaminated pieces = 0

Therefore

P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!

Hence the probability of finding 0 contaminated pieces in a bar of chocolate is

P(X = 0) =  e⁻¹⁴°⁴

= 5.57 X 10⁻⁷

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Answer:

c=10

Step-by-step explanation:

c² =8²+6²

c² =64+36

c²= 100

\( \sqrt{100} \)

= 10

Answer:

the awnser would be a I'm pretty sure

Step-by-step explanation:

make the other side the same ones so like take the bottom 8 and duplicate it to the top. do the same thing with the 6 but put it on the left side. and then combine 12 + 18 and there you go.

The y-intercept of the line represented by the equation y = ³/₂x - 4 is; -4

The general formula for the equation of a line in slope intercept form is given as;

y = mx + c

where;

m is slope of the line

c is the y-intercept of the line

Now, the y-intercept of the line simply means the point where the line crosses the y-axis. That is also the point at which x equals zero.

Now, we are given the equation of a line as;

y = ³/₂x - 4

From the general equation of a line in slope intercept form, we can easily see that;

Slope = ³/₂

y-intercept = -4

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Answer:

3/140 or 0.0214

Step-by-step explanation:

[f(2) - f(6)] / 2-6

f(2) = -3/2

f(6) = 35/2

-3/2 ÷ 35/2 = -3/2 × 2/35

= -6/70 or -3/35 (simplified)

-3/35 ÷ -4  =  -3/35 × -1/4

= 3/140

Answer:

what is the question

Step-by-step explanation:

The properties of the graph of a function include domain, range, symmetry, asymptotes, intercepts, increasing or decreasing, continuity, smoothness, behaviour at infinity and shape.

1) Domain: The set of all input values (x-values) that produce a valid output (y-value) for the function.

2) Range: The set of all output values (y-values) that can be produced by the function for any valid input value in the domain.

3) Symmetry: A graph may be symmetric with respect to the x-axis, y-axis, or origin.

4) Asymptotes: A line that the graph of a function gets arbitrarily close to, but never touches.

5) Intercepts: The points where the graph of a function crosses the x- and y-axes.

6) Increasing or Decreasing: A function can be increasing over a certain interval, decreasing over a certain interval, or both.

7) Continuity: A function is continuous if its graph has no breaks or gaps.

8) Smoothness: A function is smooth if its graph has no sharp corners or links.

9) Behavior at Infinity: The behavior of a function at positive or negative infinity can be determined by analyzing the degree and leading coefficient of its equation.

10) Shape: The shape of a graph can be used to classify functions as linear, quadratic, exponential, logarithmic, etc.

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The function D represents the cost is  $175  for of x towels.

For the first 20 towels, the equation is simply 5x.

The 5 is the cost per towel ($5) times the number of towels sold up to and including 20 towels.

Replace x by 20 in given expression  we get the maximum cost

So the maximum cost of those 20 towels is $5 (20)=$100.

Looking at towels 21 and greater, the price drops to $3 each. Putting this in a formula,

Therefore we get,

3(x-20)+100

Which is $3 for the cost per towel, (x-20) since it starts with towel number 21, and +100 for the cost of the first 20 towels.

Let's try it for 45 towels using the formula

3 (45-20)+ 100

=3(25) + 100

=75+ 100

= $175

The function D represents the cost is  $175  for of x towels.

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Answer:

d

Step-by-step explanation:

edge 2022

a would the compound inequality have infinite solutions if a = 4

x < 4 AND x > a.

if a = 4 and we use an "or" instead of the "and" we have:

x < 4 or x > 4.

This is:

"x is larger than 4 or smaller than 4."

Then the solution of this is all the real numbers except the value x = 4.

The set of solutions can be written as:

{xI x ∈ R  \ [4]}

Where this reads:

"x belongs to the set of the reals minus the number 4".

Or we also could write it as:

x ∈ (-∞, 4) ∪ (4, ∞)

Where we have two open ends in the "4" side, so the value x = 4 does not belong to that set.

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Answer:

linear equations produce straight lines when graphed, and their rate of change remains constant

Nonlinear equations do not produce straight lines when graphed.

To determine whether its linear or nonlinear, you can graph it and see if it produces a straight line, or check if it can be written in the form y= Mx+b

Step-by-step explanation:

Answer: A multiplication expression that shows how many pictures Oscar took is 3 x 20. An addition expression that shows how many pictures Oscar took is 20 + 20 + 20. The total number of pictures Oscar took is 60.

Step-by-step explanation: A multiplication expression is a way of showing repeated addition of the same number. For example, 3 x 20 means adding 20 three times: 20 + 20 + 20. This expression can be used to show how many pictures Oscar took because he took the same number of pictures (20) in three different places (rain forest, beach, fort). To find the total number of pictures, we can multiply 3 by 20 and get 60.

An addition expression is a way of showing the sum of two or more numbers. For example, 20 + 20 + 20 means adding 20 to itself two times and then adding the result to another 20. This expression can also be used to show how many pictures Oscar took because he took 20 pictures in each place and we can add them together. To find the total number of pictures, we can add 20 to itself three times and get 60.

The total number of pictures Oscar took is the same whether we use multiplication or addition, because these operations are related by the distributive property. This property states that a x (b + c) = a x b + a x c. For example, 3 x (20 + 20) = 3 x 40 = 120 and 3 x 20 + 3 x 20 = 60 + 60 = 120. In this case, we can use the distributive property to show that 3 x (20 + 20 + 20) = 3 x (60) = 180 and 3 x 20 + 3 x 20 + 3 x 20 = 60 + 60 + 60 = 180. Therefore, the total number of pictures Oscar took is equal to either expression: 60.

Hope this helps, and have a great day! =)

Answer:

multiplication expression is 3×20

addition expression is 20+20+20

tatal pictures is 60

The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

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\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^{log_a x}=x\qquad \leftarrow \qquad \textit{let's use this one} \end{array} \\\\[-0.35em] ~\dotfill\\\\ -2\ln(x+1) -3 =7\implies -2\ln(x+1)=10\implies \ln(x+1)=\cfrac{10}{-2} \\\\\\ \ln(x+1)=-5\implies \log_e(x+1)=-5\implies e^{\log_e(x+1)}=e^{-5} \\\\\\ x+1=e^{-5}\implies x+1=\cfrac{1}{e^5}\implies x=\cfrac{1}{e^5}-1\)

Answer:

the answer to your question should be 2,068

Step-by-step explanation:

i hope i am right but i think so

Answer:

0.6,66/100,666/1000,0.67

The simplified form of the product of given mixed fraction that is  (−2 8/11)⋅(−3 1/3) will be 100/11

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE need to solve the given mixed fraction \(-2\dfrac{8}{11} \times -3\dfrac{1}{3}\)

First we need to convert the mixed fraction into simple fraction;

\(-2\dfrac{8}{11} \times -3\dfrac{1}{3}\)

\(-2\dfrac{8}{11} = \dfrac{- 30}{11} \\\\\\-3\dfrac{1}{3} = \dfrac{-10}{3}\)

Now multiply the given fraction;

\(\dfrac{- 30}{11} \times \dfrac{-10}{3}\)

100/ 11

Hence, the simplified form of the product of given mixed fraction that is  (−2 8/11)⋅(−3 1/3) will be 100/11

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Answer:

The last one (f) hope u still have time

The equation of each line in slope intercept form y = 2x + 3,x = 4

The equation of a line in slope-intercept form (y = mx + b), the slope (m) and the y-intercept (b). The slope-intercept form is a convenient way to express a linear equation.

Equation of a line with slope m and y-intercept b:

y = mx + b

Equation of a vertical line:

For a vertical line with x = c, where c is a constant, the slope is undefined (since the line is vertical) and the equation becomes:

x = c

An example for each case:

Example with given slope and y-intercept:

Slope (m) = 2

y-intercept (b) = 3

Equation: y = 2x + 3

Example with a vertical line:

For a vertical line passing through x = 4:

Equation: x = 4

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Answer:

y=mx+b

Step-by-step explanation:

The current ratio of SDJ, Inc. is 1.72.

Current ratio is used to measure a company's liquidity. The formula to calculate the current ratio is as follows:

Current ratio = Current Assets ÷ Current Liabilities

Given below is the calculation of current ratio for SDJ, Inc.: Working capital = Current assets - Current liabilitiesWorking capital = $3,220 Inventory = $4,400 Current liabilities = $4,470

Working capital = Current assets - $4,470$3,220 = Current assets - $4,470

Current assets = $3,220 + $4,470

Current assets = $7,690

Current ratio = $7,690 ÷ $4,470= 1.72 (rounded to two decimal places)

Therefore, the current ratio of SDJ, Inc. is 1.72.

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Answer:

I don't know.

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Hope this helped you !!!

The second term in the expansion of (a+b)^9 (a+b) is 10a^9b

2x2 + x −#6 _____________

x2 − 1

∙ x

__

2 + 2x + 1

x 2 − 4

Rewrite as multiplication.

(2x − 3)(x + 2) __

(x + 1)(x − 1) ∙ (x + 1)(x + 1) __ (x + 2)(x − 2) Factor the numerator and denominator.

(2x − 3)(x + 2)(x + 1)(x + 1) ___ (x + 1)(x − 1)(x + 2)(x − 2) Multiply numerators and denominators.

(2x − 3)(x + 2)(x + 1)(x + 1) ___ (x + 1)(x − 1)(x + 2)(x − 2) Cancel common factors to simplify.

(2x − 3)(x + 1) __ (x − 1)(x − 2)

Answer:             g(x) = 3(x + 1)2 + 2(x + 1) − 7

Step-by-step explanation:

Answer:

2g :)

Step-by-step explanation:

Answer:

2 grams in 2000 mg

Step-by-step explanation:

divide the mass value by 1000

The answer is none of the above :) <3