Here is a function
x →x + 6
The inverse of this function is
x →x - 6
Write down the inverse of the function x → x/4.


x →..............................

Answer:

Both sides that are parallel ( 6 inches I believe ) would be 12 in total for both sides. Then the top and bottom would be 3 inches ( I believe ) which would be 6. I think you need to do 6 times 12 until you get 360 and then see how many times you multiplied it and that is your answer. But I am not FULLY sure. Hope this helps somehow!

Step-by-step explanation:

It's (3m + 7) ÷ (n - 27)

Seven more than three times a number m": This can be expressed as 3m + 7.

The number 27 less than n": This can be expressed as n - 27.

The Quotient

(3m + 7) ÷ (n - 27)

To compare the functions f(x) = 2(x – 4)² + 3 and g(x) = x^2, we can graph both functions on the same coordinate plane.

The graph of g(x) = x^2 is a standard parabola with a vertex at the origin and opening upward.

The graph of f(x) = 2(x – 4)² + 3 is also a parabola, but it has been transformed from the standard form. The vertex is at (4, 3) and it opens upward.

When we compare the two graphs, we can see that the graph of f(x) is a vertically stretched and translated version of the graph of g(x). The vertex of f(x) has been moved to the right by 4 units and up by 3 units, and the curve has been stretched vertically by a factor of 2.

Overall, the two functions have similar shapes, but f(x) is taller and shifted to the right compared to g(x).

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Answer:

d

Step-by-step explanation:

it should be d. if not im sorry for giving you the wrong answerbut im pretty sure the answer is d. hope this helps:)

Answer:

Step-by-step explanation:

13/3 is the answer

Answer:

13/3

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

3 × 4 = 12

Step 2

Add the answer from Step 1 to the numerator

12 + 1 = 13

Step 3

Write answer from Step 2 over the denominator

13/3

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Answer: There are 2,118,760 different ways to draw a sample of 5 students from a population of 50 sociology majors.

Step-by-step explanation:

The number of ways to select a sample of size k from a population of size n is given by the formula for combinations, which is:

n choose k = n! / (k! * (n - k)!)

where "!" denotes the factorial function.

In this case, we want to select a random sample of 5 students from a population of 50 sociology majors. Using the formula for combinations, we can calculate the number of ways to do this as:

50 choose 5 = 50! / (5! * (50 - 5)!)

= (50 * 49 * 48 * 47 * 46) / (5 * 4 * 3 * 2 * 1)

= 2,118,760

Therefore, there are 2,118,760 different ways to draw a sample of 5 students from a population of 50 sociology majors.

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Answer:

y= 4 x 2(6)

y= 4 x -12

y= -48

Step-by-step explanation:

y= 4 x 2(6)

y= 4 x -12

y= -48

Pa-follow po

Thank you

Answer:pink

Step-by-step explanation:

For a bond with a bond price of $475, the bond-equivalent yield to maturity for a 10-year term is calculated as follows:2 * [(1,000 - 475) / 1,000] * [365 / 10] = 8.38%

The bond price, maturity (years), and maturity in the bond-equivalent yield to maturity (%) table given for zero-coupon bonds with par values of $1,000, assuming annual compounding is:Answer:Explanation:Zero-coupon bonds do not provide periodic interest payments, as opposed to typical bonds, but rather pay a lump sum at maturity. Zero-coupon bonds are sold at a discount price, which is calculated using the bond's face value and yield to maturity.

The bond-equivalent yield to maturity is a fixed-income securities calculation that expresses an annual bond yield in terms of a bond's price. To determine the bond-equivalent yield, use the following equation:2 * [(Face Value - Price) / Face Value] * [365 / Days Until Maturity]

To determine the bond price for a bond with a face value of $1,000 and a bond-equivalent yield to maturity of 5%, the bond price is calculated as follows:$1,000 / (1 + 0.05)^10 = $613.91For a bond with a bond price of $445, the bond-equivalent yield to maturity for a 10-year term is calculated as follows:

2 * [(1,000 - 445) / 1,000] * [365 / 10] = 9.39%For a bond with a bond price of $490, the bond-equivalent yield to maturity for a 15-year term is calculated as follows:2 * [(1,000 - 490) / 1,000] * [365 / 15] = 5.86%.

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The bond-equivalent yield to maturity for a zero-coupon bond can be calculated using the formula: Yield = [(Face Value / Price)^(1 / Number of Years)] - 1. The values are then 8.47% for a $445 bond maturing in 10 years, 3.54% for a $490 bond maturing in 15 years, and 7.83% for a $475 bond maturing in 10 years.

The zero-coupon bond is a type of bond that does not pay periodic interest. Instead, it is sold at a discount from its face value and pays out its face value when it matures. The bond-equivalent yield to maturity can be calculated using the following formula:

Yield = [(Face Value / Price)^(1 / Number of Years)] - 1

Therefore, the completed table becomes as below:

Bond Price ($)  Maturity (years) Bond-Equivalent Yield to Maturity   445  10 8.47%   490  15 3.54%   475  10 7.83%

Note: The bond-equivalent yield to maturity is rounded to two decimal places.

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Answer: All Real Numbers Are Solutions

The recommended approach when choosing between one-tailed and two-tailed tests is to use a two-tailed test only.

The choice between a one-tailed or two-tailed test should be based on the research hypothesis and the specific question being investigated.

If you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

If the research hypothesis or question does not make a clear directional prediction, then a two-tailed test would be appropriate.

This is because a two-tailed test will consider the possibility of significant results in both directions of the distribution.

And is more conservative in its estimation of significance.

If the research hypothesis or question does make a clear directional prediction, then a one-tailed test would be appropriate.

This is because a one-tailed test will only consider the possibility of significant results in one direction of the distribution.

And is more powerful in detecting significant results in that specific direction.

Therefore, the answer is to use a two-tailed test only if you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

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Answer:

When the plane makes its turn to fly southeast, it makes a 45º angle at point a, making angle abc also equal to 45º.  

Line ab is the 2 miles southeast the plane flies.

Line ac = line cb

sine (45º) = opposite / hypotenuse = cb / 2

.70711 = cb / 2

cb = 1.41422  miles = line ac

Line cs = 3 - 1.41422 = 1.58578

Line x^2 = cs^2 + cb^2

Line x^2 = 2.5146982084  + 2.0000182084

Line x^2 = 4.5147

Line x = 2.1248

Step-by-step explanation:

The correct answer is Independent groups design.

Given that,

Participants in a study are randomly allocated to one of two groups; one group is run at night, while the other is run during the day. Then, each member of each group is measured twice under the red and blue conditions, respectively.

Independent groups design.

Independent measures style, conjointly called between groups is an experimental style wherever completely different participants are employed in every condition of the experimental variable. This suggests that every condition of the experiment includes a distinct cluster of participants.

Therefore, the correct answer is Independent groups design.

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Answer: A

Áp dụng định lý Pitago đảo:

MN^2 = ML^2 + LN^2

<=> 39^2 = 15^2 + 36^2

<=> 1521 = 1521 (luôn đúng)

To write the equation, we will first need to find the intercept

To find the intercept, substitute x= 3 y=7 m = 7 into

y =mx + b and then solve for b

where m is the slope and b is the intercept

7 = 7(3) + b

7 = 21 + b

subtrcat 21 from both-side of the equation

7 - 21 = b

-14 = b

b = -14

To form the equation, simply substitute; m = 7 and b = -14

into y =mx + b

Hence, the equation is :

y = 7x - 14

Answer: y=2x-5

Step-by-step explanation:

The solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

To solve the given differential equation y''(t) = 1 - t^17 with the initial condition y(1) = 12, we can integrate the equation twice.

Integrating the equation once will give us y'(t):

y'(t) = ∫(1 - t^17) dt

y'(t) = t - (1/18)t^18 + C₁

Now, we need to apply the initial condition y(1) = 12 to determine the value of the constant C₁:

12 = 1 - (1/18) + C₁

C₁ = 12 + (1/18) - 1

C₁ = 217/18

Next, we integrate y'(t) to find y(t):

y(t) = ∫(t - (1/18)t^18 + 217/18) dt

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + C₂

Finally, we apply the initial condition y(1) = 12 to determine the value of the constant C₂:

12 = (1/2) - (1/342) + (217/18) + C₂

C₂ = 12 - (1/2) + (1/342) - (217/18)

C₂ = (20619 - 1 + 6 - 819)/(342)

C₂ = 19805/342

Therefore, the solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

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Answer:A.= (1 - x + y) (1 + x-y)A

B z=3(a - x - y)

C. S = 2/5 y= - 1   z = - 4/5

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

The answer is 20 percent.

Answer:

The original number is (i)

The whole amount is (ii)

Step-by-step explanation:

So when finding a number in a percent you wanna see how much that percent will go into that number. So like if I said how many times does 60% go into 200 you would have to see how many times the number 200 would go into 60%. does this make sense? If so this is how you can find your answer.

Sorry if I'm wrong I hope you get this right!! Stay beautiful ❤️

Answer:

Circle

Step-by-step explanation:

Every shape appears 4 times except circle.

Answer:

Circle

Step-by-step explanation:

Because 1st one 4 triangles,

2nd one 4 stars,

3rd on 4 diamonds

and last 3 Circles but it should be 4

so the answer is Circle

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Answer:

one half

Step-by-step explanation:

Given the expression

2/6 + 1/6

Find the LCM

\(= \dfrac{2+1}{6} \\= \dfrac{3}{6} \\= \dfrac{3*1}{3*2}\\= \dfrac{3}{3} * \dfrac{1}{2} \\= 1 * \dfrac{1}{2}\\= \dfrac{1}{2}\)

Hence the required result is one half

The difference between a blue-collar worker and a white-collar worker is Blue-collar workers are unskilled, manual laborers, and white-collar workers are professionals or semiprofessionals.​Thus the correct option is D.

White collar employees refer to individuals who work as a salaried employees in a professional workspace. They work on the managerial profile or executive profiles also clerical positions. This type of worker has a particular office setting in which they perform their task.

here, we have,

Blue collar employees refer to an individual who does not work on salaries instead they receive daily wages on the basis of the number of hours they spent. These refer to laborers or workers who do not have any qualifications or skills to perform the task.

Therefore, option D is appropriate.

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It will take the smaller hose 120 minutes to fill the pool on its own

Rate*Time = Output

(RL + RS) x 40 = Z

40(RL + RS) = Z -----1

where Z is the volume of the pool, RL is the rate of the large hose, RS is the rate of the small hose.

Also;

RL x 60 = Z

60RL = Z -----2

Equating equations 1 and 2

40(RL + RS) = 60RL

40RL + 40RS = 60RL

40RS = 20RL

2RS = RL

Substituting RL in equation 2

60 x 2 = Z

Therefore Z = 120

It would take the small hose 120 minutes to fill the pool alone.

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The Jupiter is 6.93 times farther  from the Sun than Venus

The Saturn is 6.29 times farther from the Sun than Mars

Distance between the sun and Jupiter = 748.02 million km

Distance between the sun and venus = 108.01 million km

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 748.02/108.01

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 6.93

Therefore, the Jupiter is 6.93 times farther  from the Sun than Venus

Distance between the Sun and Saturn = 1.4823 billion km = 1482.3 million km

Distance between the Sun and Mars = 235.66 million km

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 1482.3/235.66

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 6.29

Therefore, the Saturn is 6.29 times farther from the Sun than Mars

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Answer:

y=a|x-h|+k  (absolute value function)

a= 3/5  (a easier way to know is it is somehow basically the slope of the line but it must be positive.)

h= -3 (you are correct)

k= -1 (you are correct)