Choose the correct transformation.

Answer:

The correct option is C.

Step-by-step explanation:

The two patterns are defined as follows:

Form the two patterns as follows:

Pattern A : 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0

Pattern B : 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0

The first several terms of Patterns A and B are shown by:

Pattern A: 20, 18, 16, 14, 12, 10

Pattern B: 20, 19, 18, 17, 16, 15

Thus, the correct option is C.

Answer:

12

Step-by-step explanation:

3*2*6 = 36

36/3 = 12

Answer:

the answer is B.  The inverse f the given statement is

"If a polygon is not a Pentagon, then it does not have five sides".

Step-by-step explanation:

Answer:

C. 28

Step-by-step explanation:

Because the two lines are parallel, according to the law of co-interior angles, they will add together to 180 degrees. (Because if you slide the 4x angle down past line g, they lie on the same line on either side of g).

Therefore we can write an equation to solve for x:

4x+(2x+12) = 180

Take out of brackets:

4x+2x+12 = 180

Combine terms and move 12 to other side:

6x + 12 - 12 = 180-12

6x = 168

Divide both sides by 6:

6x/6 = 168/6

x=28

Hope this helped!

Eigenvalues and eigenvectors can be found using a calculator by solving the equation Ax = λx, where A is a matrix, x is the eigenvector, and λ is the eigenvalue.

To solve this equation, you first need to calculate the determinant of the matrix A, which is written as |A|. If the determinant is not equal to zero, then you can calculate the eigenvalue by dividing the trace of the matrix (the sum of the diagonal elements) by the number of rows or columns of the matrix. The eigenvalues can then be substituted into the equation to solve for the corresponding eigenvector. For example, for a 2x2 matrix A, the eigenvalues can be found by calculating |A| and then solving the equation λ^2 - (trace of A) * λ + |A| = 0. The eigenvectors can then be found by plugging the eigenvalues into the equation Ax = λx and solving for x.

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Answer:

D

Step-by-step explanation:

430 divided by 5 = 86

because in one minute she types 86 words we do

86 times 430 = 1,032

False. Exponential smoothing with α = 0.2 and a moving average with n = 5 do not put the same weight on the actual value for the current period. Exponential smoothing and moving averages are two different forecasting techniques that use distinct weighting schemes.

Exponential smoothing uses a smoothing constant (α) to assign weights to past observations. With an α of 0.2, the weight of the current period's actual value is 20%, while the remaining 80% is distributed exponentially among previous values. As a result, the influence of older data decreases as we go further back in time.On the other hand, a moving average with n = 5 calculates the forecast by averaging the previous 5 periods' actual values. In this case, each of these 5 values receives an equal weight of 1/5 or 20%. Unlike exponential smoothing, the moving average method does not use a smoothing constant and does not exponentially decrease the weight of older data points.In summary, while both methods involve weighting schemes, exponential smoothing with α = 0.2 and a moving average with n = 5 do not put the same weight on the actual value for the current period. This statement is false.

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Answer:

25%

Step-by-step explanation:

100-80=20

80÷20=4

100÷4=25

25%

The first transformation is a translation one unit up.

The second transformation is a translation of four units left.

The scale factor is 2.5.

According to the transformations above, the circles are similar, they are related with a scale factor of 2.5.

The equation of the preimage is

The equation of the image is

The purpose of this test is to evaluate the effects of rotational acceleration on the semicircular ducts and dynamic equilibrium. This test is called Rotational Acceleration Test.

The purpose of the rotational acceleration test is to assess how the semicircular ducts and the body's dynamic equilibrium respond to rotational movements. The semicircular ducts are part of the vestibular system, which is responsible for detecting changes in head position and rotational movements.

During the test, the individual is subjected to controlled rotational acceleration, usually in a specially designed chair or device. The rotational acceleration induces a sense of spinning or movement, stimulating the semicircular ducts.

By observing the individual's responses, such as eye movements or changes in body posture, healthcare professionals can gather information about the functioning of the vestibular system and the body's ability to maintain balance.

This test is particularly useful in diagnosing disorders of the vestibular system, such as vestibular dysfunction, vertigo, or balance disorders. It helps healthcare providers determine the extent of the impairment and develop appropriate treatment plans or interventions to improve balance and reduce symptoms.

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Answer:

2/3

Step-by-step explanation:

12/6=2

18/6=3

so

the fraction is 2/3

i think this is what your teachers means, lmk if thats wrong

Answer:

t= 19/9

Step-by-step explanation:

Answer: 120 degrees

Step-by-step explanation:

A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.

Answer:

See below

Step-by-step explanation:

Converting from radians to degrees

\(r=\frac{\pi}{180}d^\circ\)

Converting from degrees to radians

\(d^\circ=\frac{180}{\pi}r\)

Because \(2\pi\) radians is equivalent to \(360^\circ\), the measure of a full circle, then 1 radian would be \(\frac{360^\circ}{2\pi}=\frac{180^\circ}{\pi}\) degrees. Similarly, 1 degree would be \(\frac{2\pi}{360^\circ}=\frac{\pi}{180^\circ}\) radians. This is where the formulas come from!

The order of values in ascending order will be -4<-2<2<2.64<4<16 as the definition of ascending order says, "When numbers are arranged in ascending order, they are done so from smallest to largest".

When numbers are arranged in ascending order, they are done so from smallest to largest. Climbing down the stairs of numbers starting with their highest value is another way to think of descending. The slide is descended while moving down it. Ascending order, in which the numbers are arranged from lower value to higher value, is the opposite of descending order. A number can be arranged in ascending order by going from smallest to largest from left to right.

Here,

4²=16

-√4=-2

√4²=4

-2√4=-4

6-4=2

√7=2.64

-4<-2<2<2.64<4<16

According to the definition of ascending order, "When numbers are arranged in ascending order, they are done so from smallest to largest," the order of values in ascending order will be -4<-2<2<2.64<4<16.

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Answer:

14 weeks

Step-by-step explanation:

Let's create and equation to display this situation. Toby already has $70 saved, so that is not the variable and no x should go next to it. He is saving $15 more each week. Lastly, we want to end up with $280 saved. The equation will look like this, given the information:

15x + 70 = 280

To find how many weeks it will take, solve the equation!

15x = 210            Subtract 70 from 280

x = 14                  Divide 210 by 15

Therefore, it will take Toby 14 weeks to save up for a new skateboard.

Hope this helps! If you have any questions about my work, please let me know down in the comments!

Answer:

It is a trinomial with a degree 5

Step-by-step explanation:

Solution

We are given

We want to find make table and graph

(a). To make table, We take

Similarly, we find the values for the remaining values of x

To draw the graph, we have

Answer:

0.8

Step-by-step explanation:

Start solving.

3n + 3 = 5.4

Simplify

3n = 2.4

Simplify

n = 0.8

Answer:

0.8

Step-by-step explanation:

Answer:

25 = units Jose travelled

Jh to Th = x moves 12 across  

and y moves 0 is constant (up/down or constant)

Th to FF = x moves 0 stays constant and y moves 13 left

12 + 13 = 25

The purpose of this exercise is concerning parabolas = curve equations

x has two points x = -6 and x = 6

y has two points y = -5 and y = 8

however we cant plot this as ANSWER without using all the coordinates

y has one answer unit at 13 and not shown in an equation if it was the y intercept or curve mid point it would be a straight line and not a curve at 13 we can therefore set y to zero 0 as mid point curve when drawing the curve.

Then to find the each unit change we could prove with straight line upon the parabola by first using the straight line equation formula y-y1 = m(x+x1)

Straight line equation

Plug in Jose's coordinates given in the question.

Therefore y - - 6 = 6 (x + 8 ) = y+6 = 6x + 46  multiply out

= y+6 = 6x + 46 -6 cancel out with -6

= y = 6x+40

the answer therefore becomes  y=6x+40

Plug in the same for Tyrell coordinates given in the question.

y - 6 = -6 (x + 8 ) = y-6 = -6x + 46  multiply out

= y-6 = -6x - 46 + 6 cancel out with +6

= y = -6x+52

and is a decrease of 6 i various ways.  

Plug in for Football field coordinates given in the question.

y-6 = -6(x -5)

= y -6 = -6x +30

= y = -6x + 30+6

= y = -6x + 36

Shows constant 6 and -6 for m the slope and 46-36 = 10 decrease each side from 0 being the curve mid point on x line. down into the mid curve |

= 10+10 to represent each side = 20 then +5 = 25

As the shift in the curve makes negative positive and positive negative.

= 25 units

Answer:

x = \(\frac{qy}{t}\)

Step-by-step explanation:

\(\frac{tx}{q}\) = y ( multiply both sides by q to clear the fraction )

tx = qy ( isolate x by dividing both sides by t )

x = \(\frac{qy}{t}\)

Answer:

Step-by-step explanation:

 -3x^2 + 24x + 5 in the form 5 (6x - 3)^2 + 18

The a) mean of the sample means is equal to the population mean.

This is because the mean of all of the sample means is a measure of the center of all of the samples, which is the same as the center of the population. This can be shown by calculating the arithmetic mean of the sample means.

The arithmetic mean of the sample means is calculated by summing the means and dividing by the number of samples. Since the sum of all the sample means is the same as the sum of the population, the mean of the sample means must also be equal to the population mean.

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20. The sample mean is an unbiased estimator for the population mean. This means: (a) The sample mean always equals the population mean. (b) The average sample mean, over all possible samples, equals the population mean. (c) The sample mean is always very close to the population mean. (d) The sample mean will only vary a little from the population mean. (e) The sample mean has a normal distribution.

The random variable X shows the absolute difference between the number of spots on a green die and a red die rolled.

The Probability Mass Function (PMF) refers to the probability of each possible outcome, and the sample space is the set of all possible outcomes.

Suppose the red die and the green die, both of which have six sides numbered from 1 to 6.

The random variable X represents the absolute difference between the numbers rolled on the two dice. The values that X can take range from 0 to 5, the absolute difference cannot exceed 5.

To determine the PMF, we need to calculate the probability of each possible outcome. The sample space consists of all the possible combinations of rolls from the two dice, that means 36 in total (6 possibilities for the green die multiplied by 6 possibilities for the red die).

For each value of X, we find the number of combinations that yield that difference. when the green die rolls a 2 and the red die rolls a 4, the absolute difference is 2.

We count all such combinations for each value of X and divide it by the total number of combinations (36) to obtain the probability of each outcome.

The resulting PMF for X will have six entries, corresponding to the probabilities of X taking on the values 0, 1, 2, 3, 4, and 5. These probabilities will sum to 1, as they cover all possible outcomes.

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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The length of the shortest ladder that will reach from the ground over the fence to the wall of the building is approximately 8.94 feet.

To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). In this case, the fence, building, and ladder form a right triangle, where the fence and building are the legs, and the ladder is the hypotenuse.

We know that the fence is 8 feet tall and the building is 4 feet away from the fence, so the height of the right triangle (the distance from the ground to the top of the building) is also 8 feet.

To find the length of the ladder, we need to use the Pythagorean theorem:

ladder^2 = fence^2 + height^2
ladder^2 = 8^2 + 4^2
ladder^2 = 64 + 16
ladder^2 = 80
ladder ≈ 8.94 feet

Therefore, the length of the shortest ladder that will reach from the ground over the fence to the wall of the building is approximately 8.94 feet.

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Part (i)

We have 60 students total, and 5 didn't like any of the two subjects, so that must mean 60-5 = 55 students liked at least one subject.

=========================================================

Part (ii)

We have 15 who like math only, 20 who like science only, and 55 who like either (or both). Let x be the number of people who like both classes.

We can then say

15+20+x = 55

x+35 = 55

x = 55-35

x = 20

This means 20 people liked both subjects

=========================================================

Part (iii)

There are 15 people who like math only, and 20 who like both. Therefore, there are 15+20 = 35 people who like math (and some of these people also like science)

=========================================================

Part (iv)

We'll follow the same idea as the previous part. There are 20 people who like science only and 20 who like both subjects. That yields 40 people total who like science (and some of these people also like math).

=========================================================

Part (v)

We'll draw a rectangle to represent the entire group of 60 students. This is considered the universal set. Inside the rectangle will be two overlapping circles to represent math (M) and science (S).

We'll have 15 go in circle M, but outside circle S to represent the 15 people who like math only. Then we have 20 go in circle S but outside circle M to show the 20 people who like science only. We have another copy of 20 go in the overlapped region between the circles. This is the 20 people who like both classes. And finally, we have 5 go outside both circles, but inside the rectangle. These are the 5 people who don't like either subject.

Note how all of the values in the diagram add up to 60

15+20+20+5 = 60

This helps confirm we have the correct values.

\(\huge{ \mathcal{  \underline{ Answer }\:  \:  ✓ }}\)

According to the unit circle, the value of sin will be :

\( \boxed{\boxed{\longrightarrow \dfrac{ - \sqrt{3} }{2} }}\)

Since, value of sin\((\theta)\) is always negative in the fourth quadrant, therefore it can't be \(\dfrac{1}{2}\).

_____________________________

\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)

Answer:

It was 3

Step-by-step explanation:

This is because its the one clóset to 0

I hope this help you out