Which sequence of transformations takes ^A to its image, ^B?

A. re
ection over the x-axis and translation 2 units down
B. re
ection over the y-axis and translation 2 units down
C. translation 2 units down and 90

rotation about the origin

D. translation 12 units right and 90

rotation about the origin

Answer:

not sure about this ......

The value of machine after 2 years is $346.4.3

Subtract the asset's cost from its salvage value (what you anticipate it to be worth at the end of its useful life) to determine depreciation using the straight-line technique. The amount that can be depreciated, or the depreciable basis, is the outcome. Subtract this sum from the asset's useful life, which is measured in years.

Given:

C = $707 (the original cost),

r = 0.3 (the rate of depreciation),

and t = 2 (years that have gone by)

Using the Formula

V = C \((1-r)^t\)

V = (707)(1 - 0.3)²

V = (707)(0.7)²

V = (707)(0.49)

V = 346.43

Thus, the value of machine is $346.43

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The correct options regarding the statistical measures in this problem are given as follows:

3. The IQR remains a 2.

7. Mean 84º.

To find the quartiles, we need to consider the median, which is the middle value of a data-set, hence:

For question 3, adding the shoe size of 8, the ordered data-set is given by:

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8, 8.5.

Hence:

Hence the IQR is given by:

IQR = 8 - 6 = 2.

Thus the correct option is:

The IQR remains a 2.

For question 7, the second lowest value would remain the second highest value. The only measure that considers all the values to be calculated is the mean, hence the correct option is:

Mean 84º.

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The true statements about the samples:

Both groups have the same median (4).

Group A has a lower mean than Group B (4 vs 4.25).

Both groups have multiple modes.

The range of values in Group B is greater than in Group A.

For Group A, the average number is 4 with a range of numbers from 2 to 6. The middle value, also known as the median, is 4.

Using this information, we find that values 3, 4, and 5 occur twice each within the dataset.

For Group B, the mean, or average, number is found to be 4.25 among eight total entries ranging from a low of 1 to a high of 7.

Calculating for the middle value, which is defined as the median, it can be seen that the resulting output is again equivalent to 4. Of all data inputs, the two top-occurring amounts are 4 and 5, both appearing twice in the listing.

Here are the true statements about the samples:

Both groups have the same median (4).

Group A has a lower mean than Group B (4 vs 4.25).

Both groups have multiple modes.

The range of values in Group B is greater than in Group A.

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A company sampled two groups of students and asked them "How many books did you read this month?" The table shows the data they collected:

Group A: [3, 4, 5, 2, 5, 6, 3, 4]

Group B: [1, 6, 4, 5, 2, 5, 4, 7]

Step 1 : Let's review the information given to us to answer the problem correctly:

• Annual salary of the governor of New York = $ 1,790,000

• Annual salary of the governor of Tennessee = $ 940,000

Step 2: Let x to represent the annual salary of the governor of New York

and let's find the ratio of the salary of the governor of Tennessee, as follows:

940,000/1,790,000 = 0.525

Step 3: Now, let's write the equation for calculating the salary of the governor of Tennessee for any given year, this way:

• 0.525x = Annual salary of the governor of Tennessee

•

Step 4: If the salary of the governor of New York for the next year is 2,000,000, then we can calculate the salary of the governor of Tennessee, this way:

0.525x = 0.525 * 2,000,000 = 1,050,000

The annual salary of the governor of Tennessee woudl be 1,050,000

Let us describe the transformation of the given absolute value function.

Please note that the parent absolute value function is given by

1. The given absolute value function is horizontally translated by 2 units (negative sign means to the right)

2. The given absolute value function is reflected over the x-axis (since the whole function is being multiplied by negative)

3. The given absolute value function is dilated by a scaling factor of 3 (the whole function is multiplied by 3)

Therefore, these are the transformations applied to the given absolute value function.

Just for understanding, The graphs of the parent function and the transformed function are given below.

The graph in red color is the parent function and the graph in the green color is the given transformed function.

As you can see, it is shifted to the right by 2 units, reflected across the x-axis, and also dilated by a factor of 3.

Answer:

2

Step-by-step explanation:

Answer:

\(P(x)=3x^4-11x^3+71x^2-275x-100\)

Step-by-step explanation:

Given information:

For any complex number  \(z=a+bi\), the complex conjugate of the number is defined as  \(z*=a-bi\).  

If f(z) is a polynomial with real coefficients, and z₁ is a root of f(z)=0, then its complex conjugate z₁* is also a root of f(z)=0.

Therefore, if P(x) is a polynomial with real coefficients, and 5i is a root of P(x)=0, then its complex conjugate -5i is also a root of P(x)=0.

So the zeros of the function are: 5i, -5i, 4, and -1/3.

The zeros of a function P(x) are the x-values of the function such that the P(x)=0.  According to the Factor Theorem, if P(x) is a polynomial, and P(a)=0, then (x - a)  is a factor of P(x).

Therefore, the factors of the function are:

\(x=5i \implies (x-5i)\)

\(x=-5i \implies (x+5i)\)

\(x=4 \implies (x-4)\)

\(x=-\dfrac{1}{3} \implies (3x+1)\)

So the polynomial in factored form is:

\(P(x)=a(x-5i)(x+5i)(x-4)(3x+1)\)

As we have not been given a specific leading coefficient, let us assume it is one.

\(P(x)=(x-5i)(x+5i)(x-4)(3x+1)\)

To write the polynomial in standard form, expand and simplify.

\(\begin{aligned}P(x)&=(x-5i)(x+5i)(x-4)(3x+1)\\&=(x^2+5ix-5ix-25i^2)(3x^2+x-12x-4)\\&=(x^2-25(-1))(3x^2-11x-4)\\&=(x^2+25)(3x^2-11x-4)\\&=3x^4-11x^3-4x^2+75x^2-275x-100\\&=3x^4-11x^3+71x^2-275x-100\end{aligned}\)

Answer:

X=4

Step-by-step explanation:

Answer:

HG = EF

GF = HE

Step-by-step explanation:

Answer:

Perimeter= 50

Area= 51

Step-by-step explanation:

Answer:

Let's suppose that one cubic foot of marble is x.

20x = 3400

But because the weight has a range of +-100, then 20x is between 3300 and 3500. Write it like this:

3300<20x<3500

Divide by 20:

165<x<175

The meaning of this is that one cubic foot of marble weight between 165 and 175 pounds

The obtained inequality shows that one cubic foot of marble weight between 165 and 175 pounds.

Given that, twenty cubic feet of marble can weigh 3400 pounds, plus or minus 100 pounds.

Absolute value inequalities are inequalities in algebra that involve algebraic expressions with absolute value symbols and inequality symbols. In simple words, we can say that an absolute value inequality is an inequality with an absolute value symbol in it. It can be solved using two methods of either the number line or the formulas. An absolute value inequality is a simple linear expression in one variable and has symbols such as >, <, ≥, ≤.

Now, the weight has a range of ±100, then 20x is between 3300 and 3500.

That is, 3300<20x<3500

Divide the inequality by 20.

So, 165<x<175

Therefore, the obtained inequality shows that one cubic foot of marble weight between 165 and 175 pounds.

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The methods would best describe the study above is: controlled experiment or letter C.

In this study described that factory wants to increase productivity by changing the working environment and specifically decreasing the temperature by 10 degrees.

In this case the controlled experiment is the most possible to be. Because is a manipulating one or more variables while keeping other variables constant. When controlling other factors and only manipulating the temperature, they can assess the specific impact of temperature on productivity.

In this case, the correct answer is C.

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Answer:

it is B

Step-by-step explanation:

Answer:

perimeter= 10+10+10

= 30 cm

mark me brainliestt :))

Answer:

here is your ans .

I have explain your ans Above

The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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Answer:

15+16+19+10=  60cm

Step-by-step explanation:

If you want to find the perimeter of a polygon, you need to add all the sides.

The required perimeter of the given polygon will be 60 cm.

The perimeter of a polygon is defined as the addition of the lengths of the polygon's all sides.

We have been given the polygon whose dimensions of the sides are 15 cm, 16 cm, 19 cm, and 10 cm​

We have to determine the perimeter of the given polygon.

As we know the perimeter of a polygon is the addition of the measurements of the polygon's all sides.

As per the given question, the required solution would be as:

the perimeter of the polygon = 15 cm + 16 cm + 19 cm + 10 cm​

Apply the addition operation, and we get

the perimeter of the polygon = 60 cm

Therefore, the perimeter of the given polygon will be 60 cm.

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The question seems to be incomplete the correct question would be as:

Find the perimeter of the polygon. Be sure to include the correct unit in your answer. if its dimensions of sides are 15 cm, 16 cm, 19 cm, and 10 cm​

Answer: C(t) =0.10t+25

Step-by-step explanation:

you can plug in the information as a slope of a line. (55-40)/(300-150) = 0.10

then enter it into the point slope form with point (150,40)= y-40=0.10(x-150) when done you get y=0.10x+25 which is the answer C(t)=0.10t+25

Using Pythagorean theorem:

c² = a² + b²

where a and b are the length of the legs, and c is the length of the hypotenuse.

Given that the triangle is a 45-45-90 triangle, then both legs have the same length, that is, a = b. Then,

c² = a² + a²

c² = 2a²

√c² = √(2a²)

c = √2a

The length of the hypotenuse is found, multiplying the leg's length by √2

Answer:

Choice B

Step-by-step explanation:

Multiply in table B :)

The ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is 4:3, or 4/3.

To find the ratio of the surface areas of the two similar cylinders, we need to consider the ratio of their corresponding dimensions. Since the two cylinders are similar, their radii are proportional to their heights. Let's denote the height of the smaller cylinder as h1, the height of the larger cylinder as h2, the radius of the smaller cylinder as r1, and the radius of the larger cylinder as r2.

Given:

h1 = 15 inches

h2 = 20 inches

The ratio of the heights is:

h2 / h1 = 20 / 15 = 4 / 3

Since the cylinders are similar, the ratio of their radii is the same as the ratio of their heights:

r2 / r1 = 4 / 3

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The intersection point of the circle and the line is at-(2.68, 7.36).

For the given question;

The equation of the line is; y = 2x + 2   ......eq 1

The centre of the circle (h,k) = (0,2)

The radius of the circle = 6 units.

This is the equation's standard form.

(x - h)² + (y - k)² = r²

Put the values in the formula;

(x - 0)² + (y - 2)² = r²

(x)² + (y - 2)² = r²

Put the value of y from eq 1.

(x)² + (2x + 2 - 2)² = 6²

(x)² + (2x)² = 36

Simplifying;

x = ±6/√5

But the intersection must be in first quadrant.

x = 6/√5 = 2.68

Put the value of x in eq 1.

y = 2x + 2

y = 2×2.68 + 2

y = 7.36

Thus, the coordinates of the intersection of the line and the circle are (2.68, 7.36).

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The value of the given summation is:

\(\sum (29a_i - 13b_i) ]= -30\)

Here we know that the sums are:

\(\sum a_i = -10\\\\\sum b_i = -20\)

And we want to find the value of the sum:

\(\sum (29a_i - 13b_i)\)

First we can distribute the sum to get:

\(\sum 29a_i + \sum - 13b_i\)

And take the coefficients out of the sum:

\(29\sum a_i -13\sum b_i\)

Now replace the known values:

\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)

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Answer:

no

Step-by-step explanation:

the square root of 40 is 6.3 and the man is 6.5. if he bends down he will fit

Answer:

Step-by-step explanation:

\(\frac{dy}{dx}=\frac{dy}{du}\frac{du}{dx}\)

where \(u = x + e^{x}\)

So we can obtain: \(\frac{dy}{dx}=(1+e^{x})\cos(u)=(1+e^{x})\cos(x+e^{x})\)