What is the vertical asymptote?

Answer:

Translation: 3 units right and 7 units down.

Step-by-step explanation:

The mapping rule for a rotation of 90° counter-clockwise about the origin is:

The mapping rule for a dilation of 0.25 about the origin is:

The mapping rule for a translation of 3 units right and 7 units down is:

The mapping rule for a reflection across the y-axis is:

To determine the rule that transforms KLMN to K'L'M'N', take one of the vertices from the pre-image and compare to its corresponding vertex in the image.

K = (-3, 4)

K' = (0, -3)

As the numerical values of the x and y coordinates have not be swapped or made negative, the transformation cannot be a rotation of 90 degrees about the origin, or a reflection in the y-axis.

As the x and y coordinates of K' are not 0.25 times the x and y coordinates of K, then the transformation cannot be a dilation of 0.25 about the origin.

Therefore, the transformation that transforms KLMN to K'L'M'N' must be:

To check, apply the mapping rule (x, y) → (x+3, y-7) to the vertices of KLMN:

Therefore, this confirms that the transformation is a translation of 3 units right and 7 units down.

Answer:

Step-by-step explanation:

7 students from the Junior class.

6 students from the Senior class.

4 new members are to be chosen.

Required: Find the number of ways 4 new members can be chosen if 2 or fewer must be from the senior class. So, Therefore, the correct answer is 560 ways.

Answer:

250

Step-by-step explanation:

Every number is multiplied by 5

2 x 5 = 10

10 x 5 = 50

50 x 5 = 250

Answer:

Step-by-step explanation:

Considering the functions

\(f(x) = 5x + 4\)

\(g(x) = x - 3\)

Part 1)

Find

We need to first dertermine \(g(6)\)

\(g(x) = x - 3\)

Putting x = 6

\(g(6) = 6-3=3\)

Then

\(f(g(6))=f(3)=5(3)+4=15+4=19\)

Hence,

\(f(g(6))=19\)

Part 2)

Find

We need to first dertermine \(f(-7)\)

\(f(x) = 5x + 4\)

Putting x = -7

\(f(-7) = 5(-7)+4=-35+4=-31\)

Then

\(g(f(-7))=g(-31)=(-31-3)=-34\)

Hence,

\(g(f(-7))=-34\)

Part 3)

Find

We need to first dertermine \(f(8)\)

Putting x = 8

\(f(8) = 5(8)+4=40+4=44\)

Then

\(f(f(8))=f(44)=5(44)+4=220+4=224\)

Hence,

\(f(f(8))=224\)

Part 4)

Find

\(f(x) = 5x + 4\)

\(g(f(x))=g(5x+4)\)

         \(=(5x+4)-3=5x+1\)

Hence,

\(g(f(x))=5x+1\)

Answer:

Linear pair of angles are formed when two lines intersect each other at a single point. Therefore, <ADC and <FDA are a linear pair.

Step-by-step explanation:

The point estimate of the difference between the two population proportions is 0.024.

The point estimate of the difference between two population proportions can be calculated using the following formula:

\(\hat{p}1 - \hat{p}2 = (x1/n1) - (x2/n2)\)

where \(\hat{p1}\) and \(\hat{p2 }\) are the sample proportions, x1 and x2 are the number of failures in each sample, and n1 and n2 are the sample sizes.

Using the given data:

\(\hat{p1}\)  = 53/400 = 0.1325

\(\hat{p2 }\) = 51/470 = 0.1085

n1 = 400

n2 = 470

Substituting these values into the formula, we get:

\(\hat{p1}-\hat{p2}\)  = (0.1325) - (0.1085) = 0.024.

For similar question on population.

https://brainly.com/question/30396931

#SPJ11

In linear regression, one variable, called a dependent variable, is related to one or more independent variables by a linear equation.

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

In the case of multiple inputs, all the inputs are independent variables.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Answer:

w=9

Step-by-step explanation:

a). The number of ways which the company can choose 4 workers from the list of employees is; 2,730 ways.

b). The number of ways the company can choose the workers if 2 labourers and 3 joiners are on holiday is; 700 ways.

It follows from the task content that the number of ways the company can choose 4 workers in each scenario be determined.

a). Since there are 3 labourers, 13 joiners, 10 electricians, and 7 plumbers.

The number of possible ways to choose 4 workers is; ³C₁ × ¹³C₁ × ¹⁰C₁ × ⁷C₁

= 3 × 13 × 10 × 7

= 2,730 ways.

b). Also, when 2 labourers and 3 joiners are absent, it follows that the selection space is now; 1 labourer, 10 joiners, 10 electricians and 7 plumbers.

The number of possible ways is therefore; ¹C₁ × ¹⁰C₁ × ¹⁰C₁ × ⁷C₁

= 1 × 10 × 10 × 7

= 700 ways.

Read more on combinations;

https://brainly.com/question/28065038

#SPJ1

The value of x in the triangle is 90 degrees.

The exterior angle of a triangle is equal to the sum of the two opposite interior angles (remote interior angles).

This is also known as the Exterior Angle theorem.

The triangle is an isosceles triangle. Therefore, the base angles are equal.

Hence,

180 - 135 = 45°(sum of angles on a straight line)

Therefore, using external triangle theorem,

45 + x = 135

subtract 45 from both sides of the equation

45 - 45 + x = 135 - 45

x  = 90 degrees.

learn more on triangle here: https://brainly.com/question/10852309

#SPJ1

The next three terms of the sequence will be 4,10,16.

What is a sequence?

A sequence is a list of numbers (or elements) that exhibits a particular pattern. For example, Olivia has been offered a job with a starting monthly salary of $1000 with an annual increment of $500. Can you calculate her monthly salary in the first three years? It will be $1000, $1500, and $2000. Observe that Olivia's salary over a number of years forms a sequence as they follow a pattern where the numbers are increasing by an amount of $500 every time.

Some of the most common examples of sequence are:

Arithmetic Sequences

A sequence in which every term is created by adding or subtracting a definite number from the preceding number is an arithmetic sequence.

Geometric Sequences

A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence.

Harmonic Sequences

A series of numbers is said to be in harmonic sequence if the reciprocals of all the elements of the sequence form an arithmetic sequence.

Fibonacci Numbers

Fibonacci numbers form an interesting sequence of numbers in which each element is obtained by adding two preceding elements and the sequence starts with 0 and 1. Sequence is defined as, F0 = 0 and F1 = 1 and Fₙ = Fn-1 + Fn-2

Now,

Given first term=-2

difference is =6

Therefore,

               The next three terms of arithmetic sequence will be -2+6,-2+6+6,-2+6+6+6  i.e. 4,10,16.

Hence,

          The next three terms of the sequence will be 4,10,16.

To know more about sequence visit the link

https://brainly.com/question/30262438?referrer=searchResults

#SPJ1

Answer:

4th one

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The mean (μ) for the given binomial distribution is 0.50.

To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:

a. When n = 5 and π = 0.10:

μ = 5 * 0.10

  = 0.50

For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.

b. When n = 3 and π = 0.40:

μ = 3 * 0.40

  = 1.20

In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.

c. When n = 5 and π = 0.50:

μ = 5 * 0.50

  = 2.50

For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.

d. When n = 3 and π = 0.80:

μ = 3 * 0.80

  = 2.40

In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.

The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.

Learn more about binomial distribution  here:-

https://brainly.com/question/10741251

#SPJ11

Answer:

3

Step-by-step explanation:

a)The radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.b)The radius of convergence is R = |1 + i - i| = |1| = 1. c)The radius of convergence is R = |1 + i - i| = |1| = 1.

The radius of convergence of a Taylor series centered at a point z0 is the distance from z0 to the nearest singularity of the function.

(a) The function sinz/e^z has singularities at z = kπi for any integer k, and the nearest singularity to z0 = -2 is at z = -πi. Therefore, the radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.

(b) The function 1/cosz' has singularities at z = (k + 1/2)π for any integer k, which are equidistant from z0 = 0. Therefore, the radius of convergence is R = π/2.

(c) The function z^2+1/(z−i) has a singularity at z = i, which is the nearest singularity to z0 = 1 + i. Therefore, the radius of convergence is R = |1 + i - i| = |1| = 1.

Note that these radii of convergence only guarantee convergence within the radius; the series may converge or diverge at the boundary.

For more questions like Convergence click the link below:

https://brainly.com/question/1851892

#SPJ11

To find the angle of the sum V1+V2, we first need to find the sum of the two vectors.

Vector V1 points along the negative x-axis, so it can be represented as     V1 = -6i (where i is the unit vector in the x-direction).
Vector V2 points at 55° to the positive x-axis, so it can be represented as  V2 = 9cos(55°)i + 9sin(55°)j (where j is the unit vector in the y-direction).

Adding these two vectors gives us:
V1 + V2 = -6i + 9cos(55°)i + 9sin(55°)j
= (9cos(55°) - 6)i + 9sin(55°)j

Now we can find the angle of this vector by using the arctangent function:

angle = arctan(9sin(55°)/(9cos(55°) - 6))
Plugging in the values, we get:
angle = arctan(1.12)
angle ≈ 48.2°

Therefore, the angle of the sum V1+V2 is approximately 48.2°.

To learn more about “angle” refer to the https://brainly.com/question/25716982

#SPJ11

Answer:

65 cents

\(85 \div 17\)

85/17 =5

so for 1 inch of wire is 5 cents but we want to know for 13 inches

so times 5 by 13

5cents*13=65cents

You have 12 cookies left because C=300

Answer:

The answer is 10 ms girl

Step-by-step explanation:

To conduct a hypothesis test to determine if there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode, we can follow these steps:

1. Define the null hypothesis (H0) and alternative hypothesis (Ha):
  - Null hypothesis (H0): The true percentage of those in the first group who suffer a second episode is the same as the true percentage of those in the second group who suffer a second episode.
  - Alternative hypothesis (Ha): The true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode.

2. Determine the significance level: The significance level is given as 0.1, which means we need to find evidence that is strong enough to reject the null hypothesis with a 10% chance of making a Type I error (incorrectly rejecting a true null hypothesis).

3. Calculate the test statistic: We need to compare the observed proportions in both groups to determine if they are significantly different. The test statistic used for this situation is the z-test for comparing proportions.

4. Calculate the test statistic value: The formula for the z-test for comparing proportions is:
  - Test statistic value = (p1 - p2) / √((p * (1 - p)) * ((1/n1) + (1/n2)))
  - where p1 and p2 are the observed proportions of second episode occurrences in the first and second groups respectively, n1 and n2 are the sizes of the first and second groups respectively, and p is the pooled proportion calculated as (x1 + x2) / (n1 + n2), where x1 and x2 are the number of second episode occurrences in the first and second groups respectively.

5. Determine the critical value(s): The critical value(s) depend on the significance level and the type of test (one-tailed or two-tailed). Since the alternative hypothesis is two-tailed, we will find the critical values for a two-tailed test with a 0.1 significance level.

6. Compare the test statistic value with the critical value(s): If the absolute value of the test statistic value is greater than the critical value(s), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

7. Draw a conclusion: Based on the results of the hypothesis test, we can draw a conclusion regarding whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode.

To know more about hypothesis test, visit:

https://brainly.com/question/33445215

#SPJ11

Answer:

\( - 1\)

-1 is the answer in your questions

Answer:

\( - \frac{2}{3} \)

Step-by-step explanation:

\( \frac{ - 2}{3} + 0\)

when adding or subtracting by 0, the value does not change.

\( = \frac{ - 2}{3} = - \frac{2}{3} \)

Answer:

\(\frac{12}{16} =\frac{16-x}{12}\) → \(144=256-16x\)

\(16x=256-144\)

\(16x=112\) → \(x=7\)

OAmalOHopeO

Answer:

629.3 cm3

Step-by-step explanation:

This is known as a rectangular prism aka cuboid.

The formula for the volume is Length x width x height

so 14.5x7x6.2 = 629.3 cm cubed

The differentiated expression of the function is \(f'(x) = \frac{3e^{\sqrt{2x}}}{\sqrt{2x}}\)

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

\(f(x) = 3e^{\sqrt{2x}}\)

The above function can be differentiated using the first principle which states that

if f(x) = axⁿ then f'(x) = naxⁿ⁻¹

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

if \(f(x) = 3e^{\sqrt{2x}}\), then

f'(x) =

\(f'(x) = \frac{3e^{\sqrt{2x}}}{\sqrt{2x}}\)

Hence, the differentiated expression of the function is \(f'(x) = \frac{3e^{\sqrt{2x}}}{\sqrt{2x}}\)

Read more about derivatives at

https://brainly.com/question/5313449

#SPJ1

99% confidence interval for the mean gas mileage for this car model is

(27.971, 28.829).

Given;

The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon.

A simple random sample of 36 cars of this model is chosen and found to have a mean gas mileage of 28.4 mi/gallon.

A = 1 - 0.990

   =0.010

Hence, Z (0.010/2) = 0.477 (from the standard normal table)

So 99% confidence interval is;

⇒ X - Z /- Z + X

= 28.4 - 0.477, 28.4 + 0.477

= (27.971, 28.829)

99% confidence interval for the mean gas mileage for this car model is

(27.971, 28.829).

To learn more about Standard deviation click here:

brainly.com/question/14747159

#SPJ4

As a result, there is a 1/3 chance that the names are listed alphabetically.

The probability that three people with different names will be in alphabetical order from front to back is 1/3. This is because there are 3! (3 factorial) possible orderings of the three people, and only 1 of these orderings will have the names in alphabetical order.

For example, if the names are A, B, and C, then the possible orderings are ABC, ACB, BAC, BCA, CAB, and CBA. Only the ordering ABC has the names in alphabetical order.

Therefore, the probability of the names being in alphabetical order is 1/3.

To learn more about probability visit:

brainly.com/question/30034780

#SPJ4

To find x we need to remember the definitions of the trigonometric functions:

Now, from the figure we notice that we know the adjacent leg to the angle given; and that we want to know the opposite leg of the same angle. Comparing what we know and what we want we conclude that we need to use the tangent function. Plugging the values into the definition of the function we have:

Solving for x we have:

Therefore x=1.8

Answer:

ur suppose to find how much it is after the discount so for example in question 1 the discount is 40% so subtract that from 100% to get 60% then multiply this 60% by the origanial vaule which is 120 so for the answer for question 1 would be 72. Also when multiplying 60% u dont multiply by 60 u multiply it by 0.6

Hope this help and sry for the bad grammar