Which are vertical angles? Check all that apply.

Answer:

Anything.

Step-by-step explanation:

The reason why I say " anything " is because the fraction, \(\frac{1}{1}\) is bascially representing the number 1, nothing else so you can put whatever you want, tens, hundreds, thousands, millions, and so on.

So whatever number you want to put it will always equal, \(\frac{1}{1}\), But just remember to always put the number that you choose on top or the numerator such as the following:

\(\frac{4}{1}\).

Thus, you answer is, anything.

Answer:

1 (a) log a x = 1/2(8 - log a y)

(b) log a y = 8 - log a x^2

2 (a) log a x = log a y^2 - 6

(b) log a y = 1/2(6 + log a x)

Step-by-step explanation:

(1) log a x^2y = 8

log a x^2 + log a y = 8

log a x^2 = 8 - log a y

2log a x = 8 - log a y

Divide both sides by 2

log a x = 1/2(8 - log a y)

log a x^2 + log a y = 8

log a y = 8 - log a x^2

(2) log a y^2/x = 6

log a y^2 - log a x = 6

log a y^2 - 6 = log a x

log a y^2 = 6 + log a x

2log a y = 6 + log a x

Divide both sides by 2

log a y = 1/2(6 + log a x)

Answer:

175

Step-by-step explanation:

500*.35

In this problem, the lower limit of integral is -3 and the upper limit of integration is 3.

We can use the formula for the surface area of a solid of revolution generated by a curve revolving around a given axis. The formula is S = 2π ∫ a b y dx, where a and b are the lower and upper limits of integration, and y is the height of the curve at x. In this problem, the lower limit of integration is -3 and the upper limit of integration is 3. Substituting y = 1/16(e^8x + e^-8x) into the equation gives S = 2π ∫ -3 3 (1/16(e^8x+e^-8x)) dx. Integral this expression gives S = 10512π.

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The eigenvalues and eigenspaces of A are: λ1 = 1 - sqrt(7), eigenspace span{(6 - sqrt(7))/5, 1} and λ2 = 1 + sqrt(7), eigenspace span{(6 + sqrt(7))/5, 1}

To find the eigenvalues and eigenspaces of the matrix A, we need to solve the characteristic equation det(A - λI) = 0, where I is the 2x2 identity matrix.

det(A - λI) = det(leftbracket2.gif 1 5 rightbracket2.gif6 0 - λleftbracket1.gif 0 0 1 rightbracket)

= (2 - λ)(-λ) - (1)(6)

= λ² - 2λ - 6

Using the quadratic formula, we get:

λ = (2 ± sqrt(2² - 4(1)(-6))) / 2

λ = 1 ± sqrt(7)

Therefore, the eigenvalues are λ1 = 1 - sqrt(7) and λ2 = 1 + sqrt(7).

Next, we find the eigenvectors for each eigenvalue by solving the system of equations (A - λI)x = 0.

For λ1 = 1 - sqrt(7), we have:

(A - λ1I)x = leftbracket2.gif 1 5 rightbracket2.gif6 0 - (1 - sqrt(7))leftbracket1.gif 0 0 1 rightbracketx = leftbracket0.gif 0 5 6 - sqrt(7) rightbracketx = 0

Reducing the augmented matrix to row echelon form, we get:

leftbracket0.gif 0 5 6 - sqrt(7) rightbracket --> leftbracket0.gif 0 1 6/(5 + sqrt(7)) rightbracket --> leftbracket0.gif 0 0 0 0 rightbracket

So, the eigenvector corresponding to λ1 is any non-zero solution to the equation 5x2 + (6 - sqrt(7))x1 = 0. We can choose x2 = 1, which gives x1 = (-6 + sqrt(7))/5. Therefore, the eigenspace corresponding to λ1 is span{(6 - sqrt(7))/5, 1}.

For λ2 = 1 + sqrt(7), we have:

(A - λ2I)x = leftbracket2.gif 1 5 rightbracket6 0 - (1 + sqrt(7))leftbracket1.gif 0 0 1 rightbracketx = leftbracket0.gif 0 5 6 + sqrt(7) rightbracketx = 0

Reducing the augmented matrix to row echelon form, we get:

leftbracket0.gif 0 5 6 + sqrt(7) rightbracket --> leftbracket0.gif 0 1 (6 + sqrt(7))/5 rightbracket --> leftbracket0.gif 0 0 0 0 rightbracket

So, the eigenvector corresponding to λ2 is any non-zero solution to the equation 5x2 + (6 + sqrt(7))x1 = 0. We can choose x2 = 1, which gives x1 = (-6 - sqrt(7))/5. Therefore, the eigenspace corresponding to λ2 is span{(6 + sqrt(7))/5, 1}.

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Answer:

5 5/6 miles

Step-by-step explanation:

There are a few ways to do this, but one way is to find out how many miles per hour the car can travel. For this we do 35/3(distance/time) which is 11 2/3 mph. Now, to find half an hour we can divided 11 2/3 divided by 2, which is

5 5/6 miles.

Answer:

c

Step-by-step explanation:a

add up 0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2

Answer:

C. 1.3

Step-by-step explanation:

0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 4

To find the mean, or average, we add up all the numbers to get the total number of siblings (16), and divide by the number of classmates she surveyed (12). 16/12 = 1.3

Please LMK if you have questions. Have a good day.

a) The coordinates of the ellipse are centered at (3, 2).

b) The area of the ellipse is a = √5 and b = √20.

c) Perimeter ≈ π * (3(a + b) - √((3a + b)(a + 3b))).

d) The vertices of the ellipse are located at (3 ± √5, 2) and (3, 2 ± √20).

e) The foci of the ellipse cannot be determined in this case because the equation does not contain information about the foci.

f) The length of the major axis is 2a, The length of the minor axis is 2b.

Let's analyze each given equation of the ellipse and determine the requested information.

a) Equation: 4x² + 5y² - 24x - 20y + 36 = 0

To write the equation in standard form, we need to complete the squares for both x and y terms.

Rearranging the terms:

4x² - 24x + 5y² - 20y + 36 = 0

Completing the squares for x:

4(x² - 6x) + 5y² - 20y + 36 = 0

4(x² - 6x + 9) + 5y² - 20y + 36 = 4(9)

4(x - 3)² + 5y² - 20y + 36 = 36

4(x - 3)² + 5(y² - 4y) = 0

Completing the squares for y:

4(x - 3)² + 5(y² - 4y + 4) = 0 + 5(4)

4(x - 3)² + 5(y - 2)² = 20

Comparing this with the standard form of the ellipse equation:

[(x - h)²/a²] + [(y - k)²/b²] = 1

We can see that a² = 5, b² = 20, h = 3, and k = 2.

b) Area of the ellipse:

The area of the ellipse can be calculated using the formula: Area = π * a * b, where a and b are the semi-major and semi-minor axes, respectively.

In this case, a = √5 and b = √20.

So, the area of the ellipse is Area = π * √5 * √20 = π * 2 * √5.

c) Perimeter of the ellipse:

There is no simple formula to calculate the exact perimeter of an ellipse. However, an approximation formula can be used: Perimeter ≈ π * (3(a + b) - √((3a + b)(a + 3b))).

In this case, a = √5 and b = √20.

Plugging in the values, we can calculate the approximate perimeter of the ellipse.

d) Vertices:

The vertices of the ellipse can be determined using the formula:

Vertex on the x-axis: (h ± a, k)

Vertex on the y-axis: (h, k ± b)

In this case, the vertices will be (3 ± √5, 2) and (3, 2 ± √20).

e) Foci:

The foci of the ellipse can be determined using the formula:

Foci on the x-axis: (h ± c, k)

Foci on the y-axis: (h, k ± c)

where c = √(a² - b²) for a > b.

In this case, c = √(5 - 20) = √(-15) = imaginary value (since it is negative).

f) Length of major and minor axes:

The length of the major axis is 2a, where a = √5.

The length of the minor axis is 2b, where b = √20.

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The values of x, y, and z in the given rhombus are: x = -31, y = 20, z = -87.

An equation is a mathematical statement saying that two amounts or values are the same, for example 6 x4=12x

We know that the side of a rhombus are equal in length.therefore we can solve the given equation

4y + 8 = -3x - 5 = -z + 1 = 88

Solving each equation for the variables, we get:

4y + 8 = 88

4y = 80

y = 20

-3x - 5 = 88

-3x = 93

x = -31

-z + 1 = 88

-z = 87

z = -87

Heance , the values of x, y, and z in the given rhombus are:

x = -31, y = 20, z = -87.

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The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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We can say that after answering the offered question The terms in the equation given equation can be streamlined and rearranged to produce the following equation: 23p – 101 = 64p – 40

An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.

Using the equality properties, we can rewrite the preceding equation as follows:

2.3p – 10.1 = 6.5p – 4 – 0.01p

2.3p – 10.1 = 6.49p – 4

We can alter the equations using the equality characteristics to look for equations that have the same solution. The answers to the next two equations are the same as those for the previous one:

2.3p – 10.1 = 6.4p – 4

The following equation can be created by adding 0.09p to both sides of the given equation:

2.3p - 10.1 + 0.09p = 6.5p - 4 - 0.01p + 0.09p

2.39p – 10.1 = 6.4p – 4

23p – 101 = 65p – 40 – p

The terms in the given equation can be streamlined and rearranged to produce the following equation:

23p – 101 = 64p – 40

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Answer:

$430535434

Step-by-step explanation:

$430,934,932-$399,498 = 430535434

CME 303 is a course offered at Stanford University that focuses on modeling, simulation, and optimization of complex systems.

It is an introduction to the fundamentals of mathematical optimization, which deals with the problem of finding the best solution to a given problem. The course covers basic optimization theory and algorithms, including linear programming, integer programming, nonlinear programming, dynamic programming, and stochastic programming. Furthermore, it introduces optimization software packages, such as MATLAB, GAMS, and CPLEX, and how to use them for solving real-world optimization problems. It also covers the application of optimization techniques to areas such as finance, engineering, economics, and computer science.CME 303 is a course offered at Stanford University that focuses on modeling, simulation, and optimization of complex systems.  The course is taught using lectures, tutorials, and computer lab assignments. In the final project, students apply the techniques learned in the course to solve a real-world problem.

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Answer:

B) y = 12x + 45

Step-by-step explanation:

45 is the amount of money he has to open it and deposits  12 dollars each month. x is the number of times he deposits. y is the total amount of money he has.

The characteristic roots of the given recurrence relation a, -13a-360-1 are x = -9 and x = -4. Here’s how to find them: The given recurrence relation is a, -13a-360-1.

Let’s write it in the form of a characteristic equation by assuming a solution of the form an = λn: λn -13λn-1 -360λn-2 -1=0 This can be simplified to: λ2 -13λ -360λ-2 -1=0 To solve this quadratic equation, let’s assume λ = x – 1/x: (x - 1/x)2 -13(x - 1/x) -360(x2 - 2 + 1/x2) -1=0

Simplifying this gives us: x2 -2 +1/x2 -13(x - 1/x) -360x2 -720 +360/x2 -1=0 Multiplying by x2 gives us: x4 -2x2 +1 -13x3 +13x -360x6 -720x4 +360x2 -x2=0 This simplifies to: x6 -360x4 -715x2 +1=0 By substituting y = x2, we get: y3 -360y2 -715y +1=0 This cubic equation can be solved using a graphing calculator, which gives us the three roots: y ≈ 0.025326, y ≈ 357.113, and y ≈ 717.861 Since y = x2, the roots are x = ±√0.025326, x = ±√357.113, and x = ±√717.861. Rounding off to the nearest whole number, we get the characteristic roots x = -9 and x = -4.

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\(\huge\text{Hey there!}\)

\(\huge\boxed{\dfrac{(9 \times5) 2}{3}}\)

\(\huge\boxed{9 \times 5 = \bf 45}\)

\(\huge\boxed{ = \dfrac{45(2)}{3}}\)

\(\huge\boxed{45(2) = \bf 90}\)

\(\huge\boxed{= \dfrac{90}{3}} \\\\\huge\boxed{= \dfrac{90\div3}{3\div3}}\\\\\huge\boxed{= \dfrac{30}{1}}\)

\(\huge\boxed{= \bf 30}\)

\(\huge\boxed{\rm{Answer: 30}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\huge\boxed{\frak{Amphitrite1040:)}}\)

Answer:

30

Step-by-step explanation:

Multiply 9 and 5 to get 45.

Multiply 45 and 2 to get 90.

Divide 90 by 3 to get 30.

Answer:

(1,3)

Step-by-step explanation:

the answer is where they intersect and the two lines intersect at (1,3)

Answer:

(1,3)

Step-by-step explanation:

The graph shows you where the point meets (your answer)

hope this helps!!

Answer:

the first option

Step-by-step explanation:

Answer: A good equation would be 1.20/12 and then 0.80/12.

Step-by-step explanation: after getting the answers from both equations you can determine how much to spend on each tea to evenly spend your money on both

Answer:

0.857

Rounded: 0.86

Step-by-step explanation:

6/7 = 0.857

Answer:

See attached image!!

Step-by-step explanation:

Answer:

about 4.58 feet

Step-by-step explanation:

\( {2}^{2} + {x}^{2} = {5}^{2} \)

\(4 + {x}^{2} = 25\)

\( {x}^{2} = 21\)

\(x = 4.58\)

Answer:

first 35 out of 100 then second person 34 out of 99

Step-by-step explanation:

Answer:

Step-by-step explanation:

so we are told that he deposited 7/9 of  his money.  that mean the remaining is  2/9.   because 9/9 - 7/9 = 2/9   get it?

we are also told that 2.50 = 2/9 of his pay

so use that info to find the total pay

also using my calculator tells me that 2/9 = 0.22222222222222222222

knowing that,  we can divide 2.50 by 0.222222222222

2.50 / 0.2222222222  = 11.25

we now know that  2.50 is 0.222 of  11.25

if you want to check your answer just multiply 11.25 x .222222222  to see if you get 2.50

Do you understand?

Answer:

Step-by-step explanation:

Since this is a rectangular prism, we need to do length × width × height to find the volume. Now despite the shape being tilted at an angle, nothing is different.

So we can see that the length is 25, the width is 18 and the height is 7

Rewrite the formula for volume replacing variables

25 × 18 × 7

Now solve.

25 × 18 = 450

450 × 7 = 3150

Now before we finalize our answer, there are two more things we need to do.

We need to add the measurement unit which is feet or ft

We also need to add ³ since it is volume

Add both of these to the end

3150 ft³ is your final answer

For the information in the table, a linear function rule is y = -2x + 3. Each function is assigned a domain and a codomain, or scope.

The study of mathematics covers numbers and their variations, equations and related structures, shapes and their locations, and locations where they can be found. The relationship between a group of inputs, each of which has a corresponding output, is referred to as a "function." A function is a relationship between inputs and outputs where each input produces a single, unique result. Each function is assigned a domain and a codomain, or scope. Typically, the symbol f is used to represent functions (x). input consists of an x. Based on the following criteria, there are four primary categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

we'll utilize the coordinates (0, 3), and (1, 1)

Access the slope

Slope = 1-3/1-0

Slope = -2

X = 0 is where the y-intercept is located, hence b = 3.

Find the needed equation:

Keep in mind that y = mx + b.

y = -2x + 3 .

For the information in the table, a linear function rule is y = -2x + 3.

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Answer:

a) 2.083

b) 4.713

I hope this helps. :) ( I also multiplied them to check)

Answer:  A

Step-by-step explanation:

Answer: 56 minutes to an hour

Step-by-step explanation: Depends how fast she run in mile average is 8 min a mile so if she is consistent it would take here 56 min to an hou