The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):



Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answer:

169

Step-by-step explanation:

13*13=169

We can split the two 13's up:

(10+3)(10+3)

Multiply 10 with 10, 10 with 3, 3 with 10, and 3 with 3.

Basically, just multiply every single term together.

100+30+30+9

100+69

169

Hope this helps!

Answer:

169

Step-by-step explanation:

The circled portion in the confidence interval formula p ± z represents the Margin of Error, which plays a crucial role in interpreting the range of plausible values for the population parameter.

In the confidence interval formula p ± z, the circled portion represents the Margin of Error.

The Margin of Error is a critical component of a confidence interval and quantifies the level of uncertainty in the estimate.

It indicates the range within which the true population parameter is likely to fall based on the sample data.

The Margin of Error is calculated by multiplying the critical value (z) by the standard deviation of the sampling distribution.

The critical value is determined based on the desired level of confidence, often denoted as (1 - α), where α is the significance level or the probability of making a Type I error.

The Margin of Error accounts for the variability in the sample and provides a measure of the precision of the estimate.

It reflects the trade-off between the desired level of confidence and the width of the interval.

A larger Margin of Error indicates a wider confidence interval, implying less precision and more uncertainty in the estimate.

Conversely, a smaller Margin of Error leads to a narrower confidence interval, indicating higher precision and greater certainty in the estimate.

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Answer:

4.25 feet needed is the answer

The rule of (x, y) → (-x, y), which is reflection over y-axis.

Given that, ΔABC maps to triangle ΔA'B'C'.

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

The coordinate points of ΔABC are A(-4, 3), B(-3, -3) and C(1, 2) and the coordinate points of ΔA'B'C' are A'(4, 3), B'(3, -3) and C'(-1, 2).

Here, A(-4, 3) → A'(4, 3), x-coordinate is negated and y-coordinate remains same.

Similarly, B(-3, -3) → B'(3, -3) and C(1, 2) → C'(-1, 2) follows the same pattern.

From this, it is clear that the coordinates of triangle ABC is reflected on y-axis.

Therefore, the rule of (x, y) → (-x, y), which is reflection over y-axis.

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Complete question:

On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 of them germinate.

Answer:

\(P(x = 4) = 0.1376\)

Step-by-step explanation:

Given

\(n = 9\)

\(p = 63\%\) --- proportion that germinates

\(p = 0.63\)

Required

P(x = 4)

This question follows a binomial distribution:

\(P(x) = ^nC_x*p^x*(1-p)^{n-x\)

When x = 4;

\(P(x = 4) = ^9C_4*0.63^4*(1-0.63)^{9-4\)

\(P(x = 4) = ^9C_4*0.63^4*(0.37)^5\)

\(P(x = 4) = 126*0.63^4*0.37^5\)

\(P(x = 4) = 0.13763895392\)

\(P(x = 4) = 0.1376\)

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

Step-by-step explanation:

Answer:

\(x=-cos(t)+2sin(t)\)

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

\(a_n y^n +a_n_-_1y^{n-1}+...+a_1y'+a_oy=0\)

Will have a characteristic equation of the form:

\(a_n r^n +a_n_-_1r^{n-1}+...+a_1r+a_o=0\)

Where solutions \(r_1,r_2...,r_n\) are the roots from which the general solution can be found.

For real roots the solution is given by:

\(y(t)=c_1e^{r_1t} +c_2e^{r_2t}\)

For real repeated roots the solution is given by:

\(y(t)=c_1e^{rt} +c_2te^{rt}\)

For complex roots the solution is given by:

\(y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)\)

Where:

\(r_1_,_2=\lambda \pm \mu i\)

Let's find the solution for \(x''+x=0\) using the previous information:

The characteristic equation is:

\(r^{2} +1=0\)

So, the roots are given by:

\(r_1_,_2=0\pm \sqrt{-1} =\pm i\)

Therefore, the solution is:

\(x(t)=c_1cos(t)+c_2sin(t)\)

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of \(x(t)\) in order to find the constants \(c_1\) and \(c_2\):

\(x'(t)=-c_1sin(t)+c_2cos(t)\)

Evaluating the initial conditions:

\(x(0)=-1\\\\-1=c_1cos(0)+c_2sin(0)\\\\-1=c_1\)

And

\(x'(0)=2\\\\2=-c_1sin(0)+c_2cos(0)\\\\2=c_2\)

Now we have found the value of the constants, the solution of the second-order IVP is:

\(x=-cos(t)+2sin(t)\)

Answer:

What is the question?

Step-by-step explanation:

I don't see a question.

Answer:

top dot 1  1/4

bottom dot -1  1/2

Step-by-step explanation:

See I'm not sure if it was those dots on the picture

Answer:

He Will Be Left With 2 Toy Cars

Step-by-step explanation:

Because 5 x 9 = 45

So 47 - 45 = 2

Answer:

5/3 is correct

Step-by-step explanation:

Answer:

1. y = -10x + 6

2. y = -x - 6

3. y = 13x + 110

4. y = -5x + 47

5. y = 7/4 x -7

Step-by-step explanation:

2. m = - 1 and Y-intercept: -20 - (- 1)(14) = -6

3. m = 13 and Y-intercept: -7 - (13)(- 9) = 110

4. (10,-3) and (7,12)

Slope = (12 - - 3)(7- 10) = 15/-3 = -5

y- intercept = 12 - (-5)(7) = 47

5. (4,0) and (0, -7)

Slope: (-7-0)/(0-4) = -7/-4 = 7/4

y-intercept: -7 - 7/4)(0) = -7

Answer:

1st option - \(\frac{1}{\sqrt[5]{7x } }\)

Step-by-step explanation:

A fractional power can be broken down.

The denominator will be the root number

The numerator will be the power

For example x^1/2 = √x^1 = √x

So :

\(\frac{1}{7x^{\frac{1}{5} } }\) = \(\frac{1}{\sqrt[5]{7x^{2} } }\)  = \(\frac{1}{\sqrt[5]{7x}}\)

So 1st option

Answer: the answer on the far left

Step-by-step explanation: i looked it up

I just got free points. Thank you.

C. (-2, 2) and  (1, -1)

Since the point of intersection is the sole location where the two graphs come together, the coordinates of that location provide the answer to the equations involving the two variables. There are no solutions when the graphs are in parallel.

Given, the parabola Y = X² -2 and a line Y = -X. To find the intersection points of this graph we need to compare these equations.

Let's put the value of y in equation 1

- X = X²  - 2

X²  + X - 2 = 0

The factor of this quadratic equation is -2 and 1. Therefore the coordinate in which both graphs will intersect is (-2, 2) and  (1, -1). I am attaching an image for better understanding.

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Answer:

796

Step-by-step explanation:

First turn it into 3 Composite Shapes, Then add the sums up to get you answer. You would separate them using the given numbers. DO NOT USE THE LARGE NUMBER: 53 you have to put them into 3 tiny squares using the numbers it gives you. Look at the image, to look at how to separate them and then i will continue the math.

To Do This You Also Have To Follow PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

I color coded it for you so that you could tell what block was what.

I also put color under the numbers that were also with the block that you needed to multiply.

For the first square/red square you need to do the math:

25x17=415

For the second square/blue square you need to do the math:

24x(25-12)=

24x13=312

For the third and final square/green square you need to do the math:

6x12=72

For the last step you have to add all the sums together to get the quotient/answer:

415+312+72=796

The coordinate of point W should be -4 or point C such that the ratio of AW to WF is 1:3

Given data

ratio 1:3

the ratio implies every unit WF is equal to 3 x AW.

hence every unit of AW multiplied by 3 gives WF

using equivalent of fractions in the comparison as follows

1 : 3 = 2 : 6 = 3 : 9

comparing  3 : 9 gives

For point A

Point A = - 7

point A + 3 = -7 + 3 = - 4 = point C

For point F

point F = 5

point F - 9 = 5 - 9 = - 4 = point C

\(\frac{AW}{WF} = \frac{|+3|}{|-9|} = \frac{AC}{FC}\)

Hence the coordinate of point W should be -4 or point C such that the ratio of AW to WF is equal to 1:3

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64.8 miles will be the distance travelled by Anthony.

Two or more expressions with an Equal sign is called as Equation.

Given that Anthony bikes a 16.2-mile long trail.

If Anthony bikes it 4 times we need to find how far Anthony traveled.

By means of multiplication we find the distance traveled by Anthony.

Multiplication is a method of finding the product of two or more numbers

Now multiply 16.2 with 4

16.2×4

64.8 miles

Hence, 64.8 miles will be the distance travelled by Anthony.

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Answer:

THE SMALL DIGIT IS 59

THE LARGEST DIGIT IS 400

I HOPE IT IS HELPFULL

Based on the height that the wires attach, and the base length of the stakes, the length of the wire is 29 ft.

This can be solved with the Pythagorean theorem because the height can be treated as the height of a right-angled triangle. The base as the base of the triangle.

The length of the wire is the hypothenuse.

Length:
c² = a² + b²

c² = 21² + 20²

c² = 841

c = √841

= 29 ft

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It moves at a 1.5 m/s speed .

Explanation:

Speed = d/t = 9/6 = 3/2 = 1.5m/s.

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It moves at a 1.5 m/s speed .

Two parametric equations—x=(v0cos)t and y=(v0sin)t+h—determine the motion of a projectile. Initial velocity is denoted by the symbol v0. The angle at which the object is hurled is represented by, and the height to which it is propelled by h.

Every function with a vector value offers a parameterization of a curve. A parameterization of a curve is a set of equations such as x = x (t) and y = y (t) that express the coordinates of a point on the curve in terms of a parameter.

Particle velocity is the speed of an actual or hypothetical particle as it transmits a wave through a medium. A particle's speed is measured in SI in meters per second (m/s).

Speed = d/t = 9/6 = 3/2 = 1.5m/s.

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There are X automobiles, with a mean of 12.5 cars. The standard deviation for X is also SD = 12.0.

First, a data set's mean and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of central tendency). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may investigate a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a normal distribution, they are frequently combined. If two or more data sets need to be compared:

The mean reveals whether data set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the standard deviation (higher standard deviation means data is more spread out from the mean). Second, there are variations in how each metric is calculated. In particular, we utilize squaring to get the standard deviation but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply multiplying the total number of data points in the set by the sum of all the values in the data set yields the answer.

The mean is calculated as follows:

Mean = (all data values added together) / (number of data values)

However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.

The standard deviation equation is as follows:

Finally, when we add the identical value to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a data collection by the constant "K":

No of the size of the data collection, the mean rises by precisely K.

No matter how many observations are in the data collection, the standard deviation does not vary. The identical value is then added.

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Answer:

dammmm I well death If a see this

Answer: A:  B′C′ = 2

Step-by-step explanation: Hope that helped

Answer:

ew

Step-by-step explanation:

waw

Answer:

y=-3/4x-5

Step-by-step explanation:

1.find the slope 1-(-8)/-8-4=-3/4

2.y-(-8)=-3/4(x-4)

  y+8=-3/4x+12/4

  y+8=-3/4x+3

 y=-3/4x+3-8

 y=-3/4x-5

The standard deviation of the examination grades in Maths SL for the class would be 1. 39.

First, list the grades based on their frequencies to be:

2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7

Then find the mean :

= ( 2 + 2 + 3 + 3 + 4 + 4 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 +7 + 7 + 7 + 7 + 7 ) / 32

= 5. 125

Then find the variance :

= ( ∑ ( x - mean ) ² / number of grades )

= ((2 - 4.85)² + (2 - 4.85)² + (3 - 4.85)² + (3 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (7 - 4.85)² + (7 - 4.85)² + (7 - 4.85)² + (7 - 4.85)² + (7 - 4.85)²) / 20

= 1. 921875

The standard deviation can be found by the formula :

 σ = √Variance

= √ 1. 921875

= 1. 39

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Answer:

Radius is 9

Formula of a circumference is:

2πr

we can use pie/π as 3.14

3.14 x 2 x 9 (radius) = 56.52

Step-by-step explanation:

If there is a diameter only do half of that and that would be your radius.

Answer:

18π inches (or approximately 56.549 inches)

Step-by-step explanation:

The formula to find circumference is 2πr (or πd). Since we are given the radius (which is half of a circle), we will use 2πr, and the radius (or r) is equal to 9. So you just plug that into the circumference formula, and get:

2*π*9 = 18π

So, the circumference is 18π inches or approximately 56.549 inches (when rounded to the nearest thousandths).

The value of the cash flows four years from today is $22,609.26.

The value of a set of cash flows can be calculated using the present value of an annuity formula. This formula takes into account the time value of money, which states that money has a different value at different points in time due to the opportunity cost of the money. In other words, the money you have today is more valuable than the money you will have in the future.

The present value of an annuity formula is PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the interest rate, and n is the number of periods. In this example, the cash flows are $3,000, $4,040, $5,885, and $7,975, the interest rate is 5.4%, and the number of periods is 4. Plugging these numbers into the formula, the present value is $22,609.26. This is the value of the cash flows four years from today.

The value of the cash flows four years from today is $22,609.26.

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