On a number​ line, suppose the coordinate of A is​ 0, and AR is 22. What are the possible coordinates of the midpoint of ​?

Answer:

  x ≈ 0.499

Step-by-step explanation:

The value of x can be found by undoing the operations done to it.

The operations done to the variable are ...

We undo these operations in reverse order:

  7e^(2x) + 10 = 29 . . . . given

  7e^(2x) = 19 . . . . . . . . . subtract 10

  e^(2x) = 19/7 . . . . . . . . . divide by 7

  2x = ln(19/7) . . . . . . . . take the natural logarithm

  x = (ln(19/7))/2 . . . . . . divide by 2

The rounded result is ...

  x ≈ 0.499

the exact formula for X(n) is given by the sum of i from 1 to 4n + 1. The closed-form formula for X(n) is (4n + 1)(4n + 2)/2, expressed as a polynomial function. The asymptotic value of X(n) is approximately 4n^2, representing the growth rate as n approaches infinity.

(i) The exact formula for X(n) can be determined by analyzing the procedure PrintXs(n) and counting the number of times the letter "X" is printed. In this case, the outer loop runs for 4n + 1 iterations, and for each iteration, the inner loop runs i times. Thus, the total number of "X" letters printed is given by the sum of i from 1 to 4n + 1.

(ii) To express X(n) as a closed-form polynomial function, we can simplify the sum mentioned above. By using the formula for the sum of an arithmetic series, the closed-form formula for X(n) can be written as X(n) = (4n + 1)(4n + 2)/2.

(iii) The asymptotic value of X(n) can be expressed using the e-notation, which represents an estimate of the growth rate. In this case, as n approaches infinity, the dominant term in the expression (4n + 1)(4n + 2)/2 is 4n^2. Therefore, we can express the asymptotic value of X(n) as X(n) ~ 4n^2.

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Answer:

Y=48

Step-by-step explanation:

Y= kx^2

3= k x 2^2

3 = k x 4

÷4

3/4 = k

Y=kx^2

Y= 3/4 x 8^2

Y= 3/4 x 64

Y=48

Hope this helps!

Answer:

A

Step-by-step explanation:

A

The matrices A and B are inverses of each other.

To determine if two matrices are inverses of each other, we need to check if their product is the identity matrix. Let's calculate the product of matrices A and B:

A * B = ⎣⎡343 111 445⎦⎤ * ⎣⎡−101 1 −30⎦⎤

     = ⎣⎡0 1 0⎦⎤

The product of matrices A and B results in the identity matrix:

A * B = I

Since the product of matrices A and B is the identity matrix, we can conclude that matrices A and B are inverses of each other.

Note: In general, for two matrices A and B to be inverses, their product should equal the identity matrix and the product of B and A should also equal the identity matrix. In this case, we have shown that A * B is the identity matrix, and if we calculate B * A, we should also obtain the identity matrix to fully confirm that A and B are inverses of each other.

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Answer:

B) Solve the equation for x: 5X-10+X 8290. 6x-18=90. +18 +18. 60x = 108 ... angle measure of each: Angle A. 524. 3x-35. 3(24)-35. 72-35. 37 m ZA = NM M.:

The rate at which the top of the ladder is sliding down the wall when the top of the ladder is 7 feet from the ground is 105 ft/sec.

A 25 foot long ladder is leaning against a wall and sliding away at a rate of 15 ft/sec. We need to find how fast is the top of the ladder sliding down the wall when the top of the ladder is 7 feet from the ground.Let's assume the length of the ladder be 'L'.Therefore, L = 25 feet. The rate at which the ladder is sliding away from the wall is given by dL/dt. dL/dt = 15 ft/sec. Let the height of the wall be 'h'.

Therefore, h = 7 feet.We need to find the rate at which the top of the ladder is sliding down the wall. Let's assume this rate be 'x'.We know that, the ladder, wall, and the ground form a right-angled triangle.Let's assume that the distance between the base of the ladder and the wall be 'y'. Therefore, we have:x^2 + y^2 = L^2Differentiating with respect to time t, we get:2x(dx/dt)+2y(dy/dt)=0dx/dt=−y(dy/dt),Since the ladder is sliding down the wall, dy/dt is negative.dy/dt = -15 ft/sec.We need to find x when y = 7. y = 7.

Therefore, \(x=√(L2−y2)=√(252−72)=√(625−49)=√576=24\)ft.

Now, we can substitute the values in the equation we obtained for dx/dt.dx/dt = -y (dy/dt)= -7 × (-15) = 105 ft/sec.Hence, the rate at which the top of the ladder is sliding down the wall when the top of the ladder is 7 feet from the ground is 105 ft/sec.

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Answer:

y = (-4/3)x - 10

Step-by-step explanation:

m = -4/3 and we are given the point (-3,-6)

Given the linear equation as y = mx + b

now solve for b

-6 = (-4/3)(-3) + b

-6 = 4 + b

b = -10

Now we have the final equation as

y = (-4/3)x - 10

Answer:

8x - 3

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define expression

6x + 2x - 3

Step 2: Simplify

Answer:

8000 feet i think so yeah

Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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x = 0

y = 2

Step-by-step explanation:

4x - y = -2

2x + y = 2

-------------- add the equations

6x = 0

x = 0

substitute x in equation 1

0 - y = -2

y = 2

Use parentheses that may or may not contain parameters directly after the function name to invoke the function.

As part of GAIA, the AI created for Project Zero Dawn in reaction to the Faro Plague, the subordinate functions are a part. The Faro Swarm's deactivation and the planet's terraforming are all objectives of Project Zero Dawn, and they are all accomplished through their extensive suite of subfunctions, each of which is dedicated to a particular purpose.

There are nine supporting roles.

A top engineer on the Zero Dawn project known as an Alpha created each of the nine subordinate functions. They were supported by a project development team made up of professionals in their industry who were well-known throughout the world.

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Answer:

b

Step-by-step explanation:

x² + 6x + 5 = 0

To find the solution, we can use the quadratic formula.

The solutions are (-1, 0) and (-5, 0)

The value of x in this scenario is 14 feet. This can be determined by using the formula for the area of a rectangle and the given information about the length and width of the swimming pool.

The formula for the area of a rectangle is A = length × width. In this case, we are given that the area is 240 sq ft and the length is 10 ft. Let's substitute these values into the formula: 240 = 10 × (x - 2).

To solve for x, we need to isolate it on one side of the equation. We divide both sides of the equation by 10: 240/10 = x - 2. Simplifying, we get 24 = x - 2.

To isolate x, we add 2 to both sides of the equation: 24 + 2 = x. This yields x = 26.

Therefore, the value of x is 14 feet, as obtained by solving the equation x - 2 = 14.

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Answer:

This is always true so there are infinite solutions

Step-by-step explanation:

2(x+4)=4x+3-2x+5

To find the solution, the first step is to distribute

2x+8 =4x+3-2x+5

Combine like terms

2x+8= 2x+8

Subtract 2x from each side

2x+8 -2x = 2x+8-2x

8 = 8

This is always true so there are infinite solutions

When Akbar is 9 years older than Yasir and Hamid is 2 years younger than Yasir then, the expression for their sum of ages is 3x+7

A linear equation is a mathematical equation that describes a straight line. It is a first-degree polynomial equation, which means that the largest exponent of the variables is 1. Since a and b are constants and x and y are variables, linear equations have the general form ax+by=c. A straight line forms on a coordinate plane when the values of x and y fulfil the expression. The connection between two variables or the price of a product are two examples of real-world events that are frequently modelled using linear equations. Solving a linear equation entails determining the values of the variables that make the equation true. Different techniques, such graphing, substitution, or elimination, can be used to accomplish this.

How to solve?

Let x be Yasir's age

Akbar is x+9

Hamid is x-2

The sum of their ages is x+(x+9)+(x-2)

=3x+7

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Answer:

The radius of the track is 32 meters

Step-by-step explanation:

Circumference

The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.

Given a circle of radius r, the circumference of the circle can be calculated as follows:

\(L=2\pi r\)

If we already know the length of the circle, we can solve the above expression for r:

\(\displaystyle r=\frac{L}{2\pi}\)

The distance given around a circular running track is L=200 m, thus:

\(\displaystyle r=\frac{200}{2\pi}=31.830989\ m\)

Rounding to the nearest meter:

r= 32 meters

The radius of the track is 32 meters

Answer:

9.28

Step-by-step explanation:

x = 9.7 cos 17 degrees = 9.28

Answer:

x = 3 ± √6.

or 0.55, 5.45 to the nearest hundredth.

Step-by-step explanation:

(x−3)^2+2=8    

(x - 3)^2  = 8 - 2 = 6

(x - 3)^2 = 6

Taking square roots of both sides:

x - 3 = +/- √6

x = 3 ± √6.

ㅤ

Given quadratic equation:-

⇢ \(\rm{(x - 3) 2 + 2 = 8}\)

ㅤ

Simplifying the given equation:-

ㅤ

1) Simplify both sides of the equation.

⇢ \(\rm{x^{2} - 6x + 11 = 8}\)

ㅤ

2) Subtract (8) from both sides, we get:

⇢ \(\rm{x^{2} - 6x + 11 - 8 = 8 - 8}\)

⇢ \(\rm{x^{2} - 6x + 3 = 0}\)

ㅤ

3) In the equation: (a = 1), (b = -6), (c = 3):

⇢ \(\rm{1x^{2} + - 6x + 3 = 0}\)

ㅤ

4) Use quadratic formula:

⇢ \(\rm{x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}}\)

⇢ \(\rm{x = \dfrac{-(-6) \pm\sqrt{(-6)^{2} - 4 (1) (3)}}{2 \times 1}}\)

⇢ \(\rm{x = \dfrac{6 \pm \sqrt{4}}{2}}\)

The required coordinate of B will be at (1, 4)

When a point bisects a line, it cuts the line into two equal parts and the point on that line is known as its midpoint. The expression for calculating the midpoint of a line is expressed as;

\(M(X, Y)= [{ \frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} ]\) where:

\(X =\frac{x_2+x_1}{2} \\Y=\frac{y_2+y_1}{2}\)

From the question, we are given the following coordinate points

\(X=1\\x_1=1\\\)

Get x₂;

\(X =\frac{x_2+x_1}{2}\\1 =\frac{x_2+1}{2}\\2=x_2+1\\x_2=2-1\\x_2=1\\\)

Get y₂;

\(Y =\frac{y_2+y_1}{2}\\2 =\frac{y_2+0}{2}\\2 \times 2=y_2+0\\4=y_2+0\\y_2=4\\\)

Hence the coordinate of B will be (1, 4)

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The box plot given by the number of students read 8 books is the centre quartile which is 5.

Three values called quartiles divide sorted data into four equal portions with the same amount of observations in each. One kind of quantile is a quantile.

Thus, for the stated question.

The box plot given by the number of students read 8 books is the centre quartile which is 5.

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A numeric variable is used with the VAR statement.

Given statement,

What type of variable is analyzed using a PROC TTEST? That is, what type of variable do we use with the VAR statement,

Here, we use;

→ Numeric Variable

Hence, a Numeric Variable type of variable is analyzed using a PROC TTEST.

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Answer:

C. The triangles are not similar.

Step-by-step explanation:

Divide the short sides and long sides to see if they are similar:

24/16 = 1.5

36/28 = 1.29

The triangles are not similar.

The area of the figure is 75  + 25π/4 squared unit. The value of the blank is 75

(Consider the image I attached)

The area of the figure = Area of rectangle A + Area of square B + Area of sector C

The area of the figure = (L×W) + (L²) + (θ/360 × πr²)

Note: Area of sector = θ/360 × πr². The sector has an angle of 90° and a radius of 5

The area of the figure = (10×5) + (5²) + (90/360 × π×5²)

The area of the figure = 50 + 25 + 25π/4 = 75  + 25π/4 squared unit

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Answer:

Let's denote the total cost as C and the number of hours as h. The equation to model this relationship can be written as:

C = 5 + 0.25(h - 2)

The first part, 5, represents the flat rate for 2 hours or less. The second part, 0.25(h - 2), represents the additional hours beyond 2 hours, where each hour costs $0.25.

To calculate the cost of parking for 10 hours, we can substitute h = 10 into the equation:

C = 5 + 0.25(10 - 2)

C = 5 + 0.25(8)

C = 5 + 2

C = $7.00

Therefore, you would have to pay $7.00 to park for 10 hours.

To find out how many hours $10 will buy, we can set the equation equal to $10 and solve for h:

10 = 5 + 0.25(h - 2)

0.25(h - 2) = 10 - 5

0.25(h - 2) = 5

h - 2 = 5 / 0.25

h - 2 = 20

h = 20 + 2

h = 22

Therefore, $10 will buy you 22 hours of parking

Answer:

32.10

Step-by-step explanation:

25% of 62.80 is 15.70

62.80- 15.70 = 47.10

47.10- the 15 dollar giftard = 32.10

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Answer:

the answer would be f(x)=-5x+41

Step-by-step explanation:

you start by calculating the change in y (or f(x)) and dividing that by the change in x or y2-y1/x2-x1. the answer you should get is the slope (mx). from there you calculate the y intercept (b) by simply finding when x=0. now you put it all together, y=mx+b or f(x)=-5x+41