What is the final transformation in this sequence of transformations mapping pre-image VWXYZ to final image V''W''X''Y''Z''?

Answer:

He should keep his job.

Step-by-step explanation:

We know that there is a 70% chance that he willend up getting a 10% raise. A 10% raise will allow him to make 66000 dolllars, which is 1000 more than getting a new job.

There is a 30% chance that he will make about 3,100 dollars less than a new job. However, 30% is much lower than 70%, so this probably wont be the outcome. And over future years, if this remains constant, he will end up still making more money staying wiht his job.

Hope this helps!

Answer:

m=1 b=0 equation: y=x

Step-by-step explanation:

slope formula to find m

(2-0)/(2-0)=2/2=1

y intercept is when x=0

so the y intercept is 0

y=mx+b

y=x

replacing m and b with 1 and 0

Answer: \(3x^{-2.5}\)

Step-by-step explanation:

Given

Expression is

\(\dfrac{12\sqrt{x}}{4x^3}\)

Using exponent property \(x^a\cdot x^b=x^{a+b}\)

Writing expression in the form of \(k\cdot x^n\)

\(\Rightarrow \dfrac{12\sqrt{x}}{4x^3}=\dfrac{3\times 4}{4}\times \dfrac{x^{0.5}}{x^3}\\\\\Rightarrow \dfrac{3\times 4}{4}\times x^{0.5-3}\\\\\Rightarrow 3x^{-2.5}\)

Answer:

----------------

MPL and NPO are congruent central angles as marked.

Therefore the intercepted arcs have same measure:

Find ON:

The length ON using concept of congruency is: 23

There are different congruency postulates of triangles such as:

SAS - Side Angle Side Congruency Postulate

SSS - Side Side Side Congruency Postulate

ASA - Angle Side Angle Congruency Postulate

AAS - Angle Angle Side Congruency Postulate

HL - Hypotenuse Leg Congruency Postulate

From the image, we see that:

MP ≅ NP

PL ≅ PO

∠MPL ≅ ∠NPO

Thus, using CPCTC theorem, we have:

7x - 12 = 3x + 8

7x - 3x = 8 + 12

4x = 20

x = 5

ON = 3(5) + 8

ON = 23

Read more about congruent sides at: https://brainly.com/question/1675117

#SPJ1

Answer:

357

Step-by-step explanation:

Multiply: 340*1.05=357

Answer:

123456789101112131415161718192021222324252627

The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

To learn more about modulus function click :

https://brainly.com/question/13682596

#SPJ9

The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.

Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.

Let the slope of the line joining A (7,-6)  and B(6,-6)  be m.

We know that the slope of a line is given by:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Slope of the line

= (6-7) / (-6+6)

= -1 / 0

= undefined

Since the slope is undefined we can say that the straight line is parallel to the y axis.

we know that tan 90° = ∞

So any line parallel to this line will have the same slope as the y axis.

Hence the slope of the given line is undefined or infinity.

To learn more about slope visit:

https://brainly.com/question/11559942

#SPJ1

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

0.0125

Answer:

Step-by-step explanation:

First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03

That means that there was a gain of $7.03 per share for Archie.

That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:

(7.03x100)= 703

The answer then is:

Archie gained $703 from selling all of his shares.

When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation

To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.

The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.

In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':

2a + c = 162.97

Rearrange the equation to isolate 'c':

c = 162.97 - 2a

Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.

For example, let's say we choose 'a' = 10:

c = 162.97 - 2(10)

c = 162.97 - 20

c = 142.97

So, when 'a' is 10, 'c' is approximately 142.97.

You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.

for more such question on corresponding visit

https://brainly.com/question/11853802

#SPJ8

A) All x- and y-intercepts include the following:

x-intercepts: none.

y-intercept: 1.

B) The equation for vertical asymptote is x = 4 and the equation for horizontal asymptote is y = 0.

C) The domain and range of f are:

Domain = [-∞, 4) U [4, ∞]

Range = [0, ∞]

In Mathematics, the x-intercept is the point at which the graph of a function crosses or touches the x-coordinate and the y-value or value of "y" is equal to zero (0).

Part A.

Based on the graph of this rational function, the x-intercept and y-intercept include the following:

x-intercept: none.

y-intercept: 1.

Part B.

An equation that represents the vertical asymptote is x = 4 while the equation represents the horizontal asymptote is y = 0 because the line does not cross those points.

Part C.

By critically observing the graph of this rational function, we can logically deduce the following domain and range:

Domain = [-∞, 4) U [4, ∞] or {x|x ≠ 4}.

Range = [0, ∞] or {y|y ≥ 0}.

Read more on horizontal asymptote here: brainly.com/question/25566825

#SPJ1

Answer:

• (a)Bottom-Heavy, y=0

• (b)Equal, y=1/3

• (c)Top heavy, No horizontal asymptote

Explanation:

• A Rational function is bottom-heavy when ,the degree of the numerator is less than the degree of the denominator,.

• A Rational function is top-heavy when ,the degree of the numerator is more than the degree of the denominator,.

• It is balanced (or equal) when ,the degree of the numerator is equal to the degree of the denominator,.

Part A

The function is bottom-heavy.

Since the function is bottom-heavy, the horizontal asymptote is:

Part B

The function is equal.

Since the function is equal, divide the leading coefficients to find the horizontal asymptote.

The horizontal asymptote is at y=1/3.

Part C

The function is top-heavy.

Since it is top-heavy, it has no horizontal asymptote.

The wind can be called a southeast wind

because the direction of wind is between south and east so it will be called southeast wind

And hence the wind is moving to northwest direction

Answer:

77.43

Step-by-step explanation:

Answer:

77.43 people were canda

Step-by-step explanation:

To find 8.9% of 870, we first turn 8.9% into a decimal. We can do this by shifting the decimal point two places to the left. This gives us 0.089. Now, we multiply this decimal by 870. Our product, 77.43, is our final answer.

Answer:

7.07

Step-by-step explanation:

∠G+∠H+∠J=180 and ∠K+∠L+∠M=180 from the angle sum property of triangle, ∠H=∠L (3rd Angle Theorem) and ∆GHJ≅∆KLM from ASA congruency theorem.

In the given question we have to prove ∆GHJ congrurnce ∆KLM.

Given that: ∠G≅∠K, ∠J≅∠M, \(\over{HJ}\) ≅ \(\over{LM}\).

As given that;

∠G≅∠K

∠J≅∠M

\(\over{HJ}\) ≅ \(\over{LM}\)

So from the angle sum property of triangle

∠G+∠H+∠J=180................(1)

∠K+∠L+∠M=180.................(2)

Now equation equation 1 and 2

∠G+∠H+∠J=∠K+∠L+∠M

As we know that ∠G=∠K, ∠J=∠M

So now the expression is

∠G+∠H+∠J=∠G+∠L+∠J

After solving ∠H=∠L (3rd Angle Theorem)

Since, ∠H=∠L, HJ=LM and ∠G=∠K, so from the theorem Angle Side Angle(ASA) congruency,

∆GHJ≅∆KLM

To learn more about ASA congruency theorem link is here

brainly.com/question/1593616

#SPJ1

Answer:

40

Step-by-step explanation:

KCF

First you have the 10, to divide by a fraction you must put it over 1 which is 10/1. Then you Keep the first number which is 10/1. Then, change the sign,

10/1 x 1/4. Then, Flip 1/4 to 4/1, 10/1 x 4/1. Multiply.

= 40/1

Now simplify

=40

Answer: he got 80% correct

Answer:

a. 0.9375, 0.46875

b. geometric sequence

c. equation: \( 7.5 * (\frac{1}{2})^(n-1)\)

Step-by-step explanation:

a.

The table can be finished as follows:

n t(n)

1 7.5

2 3.75

3. 1.875

4. 0.9375

5 0.46875

b.

The type of sequence is a geometric sequence.

A geometric sequence is a sequence of numbers where the ratio between any two consecutive terms is constant.

In this case, the ratio between any two consecutive terms is 3.75/7.5=½ ,

so the sequence is geometric.

c.

The equation for the sequence is t(n) = 7.5 * (1/2)^n.

This equation can be found by looking at the first term of the sequence (7.5) and the common ratio (1/2).

t(1) = 7.5

t(2) = 7.5 * (1/2) = 3.75

t(3) = 7.5 * (1/2)^2 = 1.875

The equation can also be found by looking at the general formula for a geometric sequence,

which is \(t(n) = a*r^{n-1}\)

In this case,

t(n) =\( 7.5 * (\frac{1}{2})^{n-1}\)

This is the required equation.

Answer:

\(\textsf{a.}\quad \begin{array}{|c|c|c|c|c|c|}\cline{1-6}\vphantom{\dfrac12} n&1&2&3&4&5\\\cline{1-6}\vphantom{\dfrac12}t(n)&7.5&3.75&1.875&0.9375&0.4687\\\cline{1-6}\end{array}\)

\(\textsf{b.} \quad \textsf{Geometric sequence.}\)

\(\textsf{c.} \quad t(n)=7.5(0.5)^{n-1}\)

Step-by-step explanation:

Before we can complete the table, we need to determine if the sequence is arithmetic or geometric.

To determine if a sequence is arithmetic or geometric, examine the pattern of the terms in the sequence.

Calculate the difference between consecutive terms by subtracting one term from the next:

\(t(2)-t(1)=3.75-7.5=-3.75\)

\(t(3)-t(2)=1.875-3.75 = -1,875\)

As the difference is not common, the sequence is not arithmetic.

Calculate the ratio between consecutive terms by dividing one term by the previous term.

\(\dfrac{t(2)}{t(1)}=\dfrac{3.75}{7.5}=0.5\)

\(\dfrac{t(3)}{t(2)}=\dfrac{1.875}{3.75}=0.5\)

As the ratio is common, the sequence is geometric.

To complete the table, multiply the preceding term by the common ratio 0.5 to calculate the next term:

\(t(4)=t(3) \times 0.5=1.875 \times 0.5=0.9375\)

\(t(5)=t(4) \times 0.5=0.9375 \times 0.5=0.46875\)

Therefore, the completed table is:

\(\begin{array}{|c|c|c|c|c|c|}\cline{1-6}\vphantom{\dfrac12} n&1&2&3&4&5\\\cline{1-6}\vphantom{\dfrac12}t(n)&7.5&3.75&1.875&0.9375&0.4687\\\cline{1-6}\end{array}\)

To find an equation for the sequence, use the general form of a geometric sequence:

\(\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)

In this case, the first term is the value of t(n) when n = 1, so a = 7.5

We have already calculated the common ratio as being 0.5, so r = 0.5.

Substitute these values into the formula to create an equation for the sequence:

\(t(n)=7.5(0.5)^{n-1}\)

Answer:

sin( 3pi/4 ) = -√2/2

So, B.

It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.


The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

To know more about function click-
http://brainly.com/question/25841119
#SPJ1

Answer:4124966.126

Step-by-step explanation:

Distance between star from the sun is d = 4124966.128 AU

What is Trigonometry?

Trigonometry is the branch of mathematics that deals with particular angles functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle.

The astronomical unit distance between the star and the Sun can be calculated using the trigonometric function.

As per the given data:

distance from Earth to the Sun (P) = 1 AU

θ = 0.00001389 degrees

From tanθ:

tanθ = P/B

{P = perpendicular and B = base}

From the diagram:

tanθ = 1/d

tan(0.00001389) = 1/d

d = 1/tan(0.00001389)

d = 4124966.128 AU

The separation between the sun and the star is d = 4124966.128 AU.

To learn more on, Trigonometry:

brainly.com/question/26719838

#SPJ7

Answer:

noob

Step-by-step explanation:

lol imagine not knowing, u noob

Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

for such more question on percentage

https://brainly.com/question/24877689

#SPJ8

Step-by-step explanation:

No she won't have enough money saved.

This is so because at the end of 30 weeks she would have saved only $450 and short by 115.

In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.

it represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.

In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.

In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.

To Know more about variables, visit:

https://brainly.com/question/17344045

#SPJ1