Create a function with using transformations.
opens down, shifts up 3 units and shrinks by 1/4

Answer:

10.) 6 2/5   11.) 21/100

Step-by-step explanation:

I hope that these are correct, they are simplified.

Stay awesome! and don't forget to be K I N D! <3

Answer: Yes, 59 is a prime number

Step-by-step explanation: 59 is a prime number, it has only two factors, such as one and the number itself. Hence, the factors of 59 are 1 and 59.

Yes, 59 is a prime number.

What is a prime number?

Any natural number greater than 1 that is not the sum of two smaller natural numbers is referred to as a prime number. A composite number is a natural number greater than one that is not prime.

In other terms, prime numbers are positive integers greater than one that only has the number itself and 1 as factors. 2, 3, 5, 7, 11, 13, and other prime numbers are just a few examples. Never forget that 1 is neither a prime number nor a composite. Apart from 1, the other numbers can all be categorised as prime and composite numbers. Except for 2, which is the smallest prime number and the only even prime number, all prime numbers are odd.

The number in question, which is 59,  has only two factors: 1 and 59.

Therefore 59 is a prime number.

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The 98th percentile of the number of hours spent studying the week before final exams is approximately 39.35 hours.

The 98th percentile of the number of hours spent studying the week before final exams, assuming a normal distribution with mean 25 and standard deviation 7, can be calculated using the standard normal distribution table.

To find the z-score corresponding to the 98th percentile, we use the formula:

z = (x - μ) / σ

where x is the value at the 98th percentile, μ is the population mean, and σ is the population standard deviation.

Using a calculator, we find that the z-score corresponding to the 98th percentile is approximately 2.05.

To find the value of x at the 98th percentile, we rearrange the formula as:

x = μ + zσ

Substituting the given values, we get:

x = 25 + 2.05 × 7 ≈ 39.35

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Answer:

No

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

For a Triangle to be a Right-Angled Triangle, should follow the Pythagoras Theorem which states that

If a is the larger side and b , c are the lengths of the other two sides

Then \(a^{2} =b^{2} +c^{2}\)

Here a=30  , Then \(a^{2}=30^{2} =900\)

and b=20 , c=25  , Then \(b^{2} +c^{2} =20^{2} +25^{2} =1025\)

Since \(a^{2} \neq b^{2} +c^{2}\)

Then the Triangle is not Right Triangle

Answer:

21

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

AD        AH

-----  =  ---------

AB         AH +y

3        9

---- = ------

10         9+y

Using cross products:

3(9+y) = 9*10

27+3y = 90

3y = 90-27

3y =63

y = 63/3

y = 21

Answer:

y = 21

Step-by-step explanation:

According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

Therefore, according to the Side Splitter Theorem:

\(\boxed{\sf AD : DB = AH : HC}\)

From inspection of the given triangle, the lengths of the line segments are:

To find the value of y, substitute the given line segment lengths into the proportion and solve for y:

\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)

Therefore, the value of y is 21.

Answer:

♣ = ✔ vertical angles theorem

♦ = ✔ SAS

♠ = ✔ CPCTC

Step-by-step explanation:

This is the answer on Edge!! hope this helps!!!!!!

The steps that complete the two column proof are;

Vertical angles theorem, SAS Congruency postulate and CPCTC

In the given parallelogram, we are told that RW ≅ WT; UW ≅ WS.

Now, from the given triangle attached we can say that;

∠SWR ≅ ∠UWT  because of vertical angles theorem

Secondly, we can say that since ∠SWT ≅ ∠UWR  by vertical angles theorem, then we can say that ΔSWR ≅ ΔUWT by SAS Congruency.

Lastly, since ΔSWT ≅ ΔUWR by SAS congruency rule then we can say that ∠WRS ≅ ∠WTU by CPCTC

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The velocity of air at the throat using the local speed of sound at the given pressure and temperature conditions.

The velocity of air at the throat of the converging-diverging nozzle can be calculated using the principle of continuity and the isentropic flow equation. It is a function of the Mach number, which is constant at the throat, and the local speed of sound.

To calculate the velocity of air at the throat, we need to use the principle of continuity, which states that the mass flow rate of a fluid remains constant as it passes through a converging-diverging nozzle. This means that the mass flow rate at the throat is the same as the mass flow rate at the inlet and outlet of the nozzle.

Using the isentropic flow equation, we can relate the velocity of the air to the Mach number and the local speed of sound. At the throat, the Mach number is equal to 1, which means that the velocity of the air is equal to the local speed of sound. Therefore, we can calculate the velocity of air at the throat using the local speed of sound at the given pressure and temperature conditions.

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Answer:

14

Step-by-step explanation:

k

=

c

−

b

2

4

a

We know that

a

=

1

,

b

=

−

8

and

c

=

2

, so let's substitute:

k

=

2

−

(

−

8

)

2

4

(

1

)

=

2

−

64

4

=

2

−

16

=

−

14

.

So, we have

min

=

−

14

. Let's check:

graph{(x^2 - 8x + 2 - y)(-14 -y)=0 [-11.82, 20.22, -15.38, 0.64]}

The statement 'the confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level.' is True.

In this question, we have been given a statement 'The confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level. '

We need to state whether the given statement is true or false.

We know that the confidence interval = sample mean ± margin of error

The confidence interval  for the mean of y is narrower when the x value is close to the mean of all of the x values.

Therefore, the confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level is True.

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Metric spaces are mathematical structures that consist of a set and a distance function. An example of a metric space (X, d) and a non-empty subset A that satisfies the given conditions is:

X = R (the set of real numbers)

d(x, y) = |x - y| (the absolute value of the difference between x and y)

A = [0, 1) (the closed interval from 0 to 1, including 0 but excluding 1)

In this example, the metric space X is the set of real numbers, and the distance function d(x, y) is defined as the absolute value of the difference between x and y. The subset A is the closed interval from 0 to 1, including 0 but excluding 1.

To show that every point in A is a limit point of A, we consider any point x in A. Since A contains all its limit points, any neighborhood of x contains points both in A and outside A. Hence, there will always be other points in A arbitrarily close to x, making x a limit point of A.

However, the interior of A, denoted int(A), refers to the set of all points in A that have a neighborhood entirely contained in A. In this case, int(A) is the empty set (∅). This is because every point in A, including 0, has points outside A arbitrarily close to it. Thus, no neighborhood of any point in A is entirely contained within A, resulting in an empty interior.

Limit points are points in a set that can be aproximated by other points in the set. In the given example, every point in the subset A = [0, 1) is a limit point of A because any neighborhood of a point in A contains infinitely many points in A. However, the interior of A is empty because no point in A has a neighborhood entirely contained within A. This example demonstrates that a set can have limit points without possessing an interior.

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point coordinates for the mid segment of the parallel to PQ segment of the PQR is ST point is (-3.5, 0.5) and (-1, -0.5).

Given that,

We have to find what are the endpoint coordinates for the middle portion of the parallel to PQ segment of the PQR.

We know that,

First we write the co-ordinates of the triangle in the given graph.

P is (-3,3)

Q is (2,1)

R is (-4,-2)

The triangle's midpoint, which is parallel to section PQ, must be located. As a result, we would need to locate the midpoints of the segments PR and QR before joining the points to obtain the mid segment.

Midpoint Formula is

(x₁+x₂/2, y₁+y₂/2)

So,

The midpoint of the side PR is

(-3+(-4)/2, 3+(-2)/2)

(-3-4/2, 3-2/2)

(-7/2,1/2)

So, S point is (-3.5, 0.5)

The midpoint of the side QR is

(2+(-4)/2, 1+(-2)/2)

(2-4/2, 1-2/2)

(-2/2,-1/2)

So, T point is (-1, -0.5)

Therefore, The endpoint coordinates for the mid segment of the parallel to PQ segment of the PQR is ST point is (-3.5, 0.5) and (-1, -0.5).

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Because the scaling factor is a whole number, which is 3, the enlargement of the dashed triangle is a dilatation.

Recall:

Thus:

For the dashed triangle, measure the separation between the points (2, -2) and (0, -2).

Using the coordinates (6, -6) and (0, -6) for the solid triangle, calculate the equivalent distance:

Scale factor = 6/2 = 3

The dilation is an enlargement because the scale factor is a whole number.

In conclusion, the enlarged dashed triangle indicates a dilatation because the scale factor, which is 3, is a whole number.

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Answer:

1184 cm

Step-by-step explanation:

The order of the numbers from least to greatest is as follows:

4.427 , 4.42 , 4.325 , 4.63

A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.

Given here: The numbers containing fractions and decimal numbers.

To get a clarity on the magnitude of the numbers, let's convert every fraction to decimal numbers

Thus 4⁷/₁₁=4.63

37/8=4.625

Hence, The order of the numbers from least to greatest is as follows:

4.427 , 4.42 , 4.325 , 4.63

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To be categorized as unemployed, a person has to be without a process, presently available to work, and actively seeking out work within the previous 4 weeks.

Unemployment is a time period regarding people who are employable and actively looking for a process but are not able to discover a process. blanketed in this institution are the ones people in the group of workers who are working but no longer have the precise job.

The situation of now not having a task but being a member of the labor pressure. To be considered unemployed, someone must be jobless but actively trying to find a task by having searched within the last 4 weeks.

Hence, To be categorized as unemployed, a person has to be without a process, presently available to work, and actively seeking out work within the previous 4 weeks.

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complete question:

how do economists define unemployed workers? group of answer choices although currently working, they are not happy with their current job working on contract for a limited time not currently working not currently working but actively searching for work

Answer:

-5 1/2

Step-by-step explanation:

-5 1/2=-5.5 which is closer to 0

Hey there!

GUIDE:

> is greater than

• is the GREATER THAN the other number

< is less than

• your number is LESS THAN the other number

≥ is greater than or equal to

• it means that either a number is greater or equal to the other number

≤ Is less than or equal to

• it means that either a number is less or equal to the other number

= is equal

• it means that it is equal to the other number

SOLVING FOR YOUR ANSWER!

-5 1/2 __?__ -6.5

-5 1/2

= -5 * 2 + 1 / 2

= -10 + 1 / 2

= -11 / 2

= -5.5

= -5.5 > -6.5

Therefore, your answer should be:

-5 1/2 > -6.5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

.4 and it terminates

Step-by-step explanation:

Answer:

red

Step-by-step explanation:

The y - intercept of the graph represent the initial radius of the algae, the average rate of change is 0.63

1. Since the radius of the algae is increasing with time, a reasonable domain to plot the growth function would be the set of positive real numbers. In other words, d should be greater than or equal to zero.

2. The y-intercept of the graph of the function f(d) represents the initial radius of the algae, or the radius of the algae on day 0.

3. The average rate of change of the function f(d) from d = 4 to d = 11 is:

average rate of change = [f(11) - f(4)] / (11 - 4)

Substituting the given function, we get:

average rate of change = [7(1.06)^11 - 7(1.06)^4] / 7

average rate of change - 0.64

This represents the average increase in the radius of the algae per day between days 4 and 11.

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Answer:

esdfvc

324

Step-by-step explanation:

The minimum dividend that the REIT must pay per share to maintain its tax-exempt status is $3.15 per share.

To determine the minimum dividend per share, we need to consider the requirements for a Real Estate Investment Trust (REIT) to maintain its tax-exempt status. According to the tax laws governing REITs, they are required to distribute at least 90% of their taxable income to shareholders in the form of dividends.

In this case, the net income of the REIT is $300,000. To calculate the taxable income, we need to add back the deduction for depreciation and amortization, as these are non-cash expenses. Therefore, the taxable income is $3,500,000 ($300,000 + $4,600,000).

To maintain the tax-exempt status, the REIT must distribute at least 90% of the taxable income to shareholders. Thus, the minimum dividend per share can be calculated as follows:

Minimum Dividend per Share = (Taxable Income / Number of Shares) * 90%

= ($3,500,000 / 1,000,000) * 90%

= $3.15 per share

In order for the REIT to maintain its tax-exempt status, it must pay a minimum dividend of $3.15 per share. By distributing at least 90% of the taxable income to shareholders, the REIT fulfills the requirements set by tax laws governing REITs.

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Answer:

16m² + 4m - 6

Step-by-step explanation:

Hello There!

For this one all we need to do is combine like terms

7m²-(-9m²)=16m²

2m-(-2m)=4m

-3-3=-6

so the answer would be

16m² + 4m - 6

Answer:

150 m^2

Step-by-step explanation:

To find the surface area of this shape, find the areas of every face and add them together. This shape has three rectangular faces and two triangular ones.

A rectangle = length * width = 6 * 7 = 42 m^2

A triangle = 0.5 * base * height = 0.5 * 6 * 4 = 12 m^2

3* A rectangle + 2 * A triangle = total surface area

3(42) + 2(12) = SA

126+24 = SA

150 m^2 = SA

You can check this problem by using the formula for surface area of a triangular prism.

Based on the given information, it seems that we are dealing with a linear transformation. Let's break down the steps to find the image of the vector v and the matrix representation of the linear transformation T with respect to the given bases.

Finding the image of vector v:

We apply the linear transformation T to the vector v:

T(v) = T(1, 9, 4) = (1 - 9, 9 - 4) = (-8, 5)

So, the image of vector v is (-8, 5).

Finding the matrix representation of T with respect to the given bases:

To find the matrix representation of T, we need to express the images of the basis vectors in terms of the new basis vectors.

T applied to the first basis vector:

T(1, 1, 1) = (1 - 1, 1 - 1) = (0, 0) = 0(1, 2) + 0(1, 1)

The coefficients of the basis vectors in the new basis are 0 and 0.

T applied to the second basis vector:

T(1, 1, 0) = (1 - 1, 1 - 0) = (0, 1) = 1(1, 2) + 0(1, 1)

The coefficients of the basis vectors in the new basis are 1 and 0.

T applied to the third basis vector:

T(0, 1, 1) = (0 - 1, 1 - 1) = (-1, 0) = -1(1, 2) + 0(1, 1)

The coefficients of the basis vectors in the new basis are -1 and 0.

Therefore, the matrix representation of T with respect to the given bases is:

[ 0 1 ]

[ 0 -1 ]

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Answer:

um 8??

Step-by-step explanation:

Answer:

a=25

Step-by-step explanation:

Solve by subtracting 3 from both sides.

a/5=5

Multiply both sides by 5.

a=25

Answer:

Step-by-step explanation:

a/5+3=8

Subtract 3 from both sides:

a/5+3 -3=8 -3

a/5=5

Multiply both sides by 5:

5×a/5=5×5

a=25

Hope it helps!

For a quadratic equation, we start out seeking 2 solutions.

According to the statement

We have to find about the quadratic equation.

So, For this purpose, we know that the

Quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power

From the given information:

when we solve a quadratic equation, how many solutions should we always start out seeking.

Then

Here, we are required to search out out what number solutions to start out out seeking while solving a equation and also the condition for a quadratic graph not having zeros ( no x-intercepts).

Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.

And, a quadratic can haven't any zeros ( no x intercepts) if the roots of the equation are complex numbers.

A quadratic is one which has the very best degree of its variable ( usually x) to be 2.

Consequently, after we solve a quadratic, one should start out seeking two (2) solutions.

This is so because, the quantity of solutions to begin out seeking corresponds with the very best power of the experimental variable, X.

Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.

Therefore, where X¹ occurs in an equation, it's linear and consequently has 1 solution.

And, where X² occurs in an equation, it's quadratic and consequently has 2 solutions.

It is possible to possess a quadratic with no zeros (i.e no x-intercepts).

So, For a quadratic equation, we start out seeking 2 solutions.

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