Find any domain restrictions on the given rational equation:
X+2/x2-25+1=8x/2x-10
Select all that apply.
O A. x = 0
O B. x = 5
O c. x = -2
O D. X = -5

Answer:

$6000

increases by 10% but you then take away 5% fron the 10 as it decreases by 5. meaning you have incresed by 5% and adding the 15% equals 20%. so the account increases by 20%. 20% of 5000 equals 1000. add the two together and you get 6000. so the account total now is $6000

Answer:

  B(-6, 0)

Step-by-step explanation:

You want to find B such that ...

  (B -A) = (3/4)(C -A) . . . . the required distance relation

  4(B -A) = 3(C -A) . . . . . . multiply by 4

  4B = 3C +A . . . . . . . . . . add 4A, simplify

Now, we can solve for B and substitute the given coordinates:

  B = (3C +A)/4 = (3(-6, -2) +(-6, 6))/4 = (-24, 0)/4 = (-6, 0)

The coordinates of point B are (-6, 0).

Answer:

the answer your looking for is (-3,-3)

Step-by-step explanation:

The midpoint between the given figures are -2.5 and 5.5 respectively.

A midpoint is defined as that particular point that divides two separate figures into two equal halves or the centre of two endpoints on a number line.

That is;

point a + point b/2

The figures given are :

Point a = -3

Point b = -2

= -3 + -2/ 2

= -5/2

= -2.5

For points 4 and 7 ;

= 4 + 7 / 2

= 11/2

= 5.5

Therefore, the middle or midpoint of -3 and -2 is -2.5 and the midpoint for 4 and 7 is 5.5.

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True, a data warehouse allows users to specify certain dimensions or characteristics.

In a data warehouse, dimensions represent the different aspects or characteristics by which data can be categorized or analyzed. These dimensions can include various attributes or variables that provide context and organize the data.

Users of a data warehouse can specify these dimensions based on their analytical needs and the nature of the data being stored.

For example, in a sales data warehouse, common dimensions may include product, customer, time, and location.

By specifying these dimensions, users can slice and dice the data based on different criteria and gain insights from various perspectives.

By defining dimensions, users can navigate through the data warehouse and perform multidimensional analysis using tools such as OLAP (Online Analytical Processing).

Dimensions provide a structure for organizing and querying data in a way that facilitates analysis and reporting.

In summary, a data warehouse allows users to specify dimensions or characteristics that help organize and analyze the data stored in the warehouse. These dimensions provide a framework for users to navigate and explore the data from different perspectives.

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Answer:

Brandon

Step-by-step explanation:

2x + 3y = 8

-2x         -2x

3y = -2x + 8

y = (-2/3)x + 8/3

m = (-2/3)

even tho brandon did not divide 8 by 3, you were just supposed to find the slope of the line parallel to that line so for the most part, he is correct for the way he got his answer

Answer:

slope = - \(\frac{2}{3}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = 8 ( subtract 2x from both sides )

3y = - 2x + 8 ( divide all terms by 3 )

y = - \(\frac{2}{3}\) x + \(\frac{8}{3}\) ← in slope- intercept form

with slope m = - \(\frac{2}{3}\)

Parallel lines have equal slopes , thus

slope of parallel line = - \(\frac{2}{3}\)

9514 1404 393

Answer:

  C: 2 and 3 only.

Step-by-step explanation:

We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).

The product of two odd numbers is odd, so (2) is one of the true statements.

__

Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.

Only statements (2) and (3) are true.

Answer:

Tom has $36 after paying his dad and buying the drink.

Answer:

36

Step-by-step explanation:

because if you  take away 12 from 55 you would have  43 and if you take away 7 you would have 36

Answer:

B (1)

Step-by-step explanation:

Step One: \(\frac{4x-8}{10y} * \frac{3*5y^{2} }{5x-10}\)

Step Two: Simplify \(\frac{3*5y^{2} }{5x-10}\)

Step Three: \(\frac{4x-8}{10y}\)

Step Four: Simplify \(\frac{4x-8}{10y}\)

Step Five: \(\frac{2* (x-2)}{5y} * \frac{3y^{2} }{x-2}\)

Final: \(\frac{6y}{5}\)

Answer:

option B

Step-by-step explanation:

(4x-8)/10y * 15y^2/(5x-10)= 4(x-2)/2*3y/5(x-2)= 2*3y/5= 6y/5

Option B

Mistake is at step 1

The absolute minimum value of y =-cos(x) - sin(x) on the closed interval [0, π/2] is  \(-\sqrt{2}\)

Consider equation,

y = -cos(x) - sin(x)

Let y = f(x)

Differentiate the function f(x) = -cos(x) - sin(x) with respect to x.

f'(x) = -(-sin(x)) - cos(x)

f'(x) = sin(x) - cos(x)

For f'(x) = 0,

sin(x) - cos(x) = 0

sin(x) = cos(x)

sin(x)/cos(x) = 1

tan(x) = 1                     ..............(tan(θ) = sin(θ)/cos(θ))

x = π/4

For above value of x, the value of function would be,

f(π/4) = -cos(π/4) - sin(π/4)

f(π/4) = \(-\frac{1}{\sqrt{2} } -\frac{1}{\sqrt{2} }\)

f(π/4) = \(-\sqrt{2}\)

f(0) =  -cos(0) - sin(0)

f(0) = -1

And f(π/2) = -cos(π/2) - sin(π/2)

       f(π/2) = -1

So, the minimum value of f(x) is  \(-\sqrt{2}\),  shown in the following graph.

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Given the function:

We will graph the function using the table between x and y

We will substitute with x with values from 0 to 2π and find the value of y

the value of (2π) is the period of the function (sin x)

the points will be as follows:

The graph of the function will be as shown in the following figure:

Answer:

3rd one :)

Step-by-step explanation:

Answer:

I think its a sorry if im wrong

Step-by-step explanation:

(rounded by the nearest tenth .79>.8)

Formula:

A=2⋅π⋅r⋅h+2⋅π⋅r^2

Equation:

Answer:

distance = 7.07 units

Step-by-step explanation:

x difference = 7

y difference = -1

using the Pythagorean theorem:

7² + -1² = d²

d² = 49 + 1 = 50

d = 7.07

Answer:

7.1

Step-by-step explanation:

distance between the x is 7 and y is 1

And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2

c=50

and take the square root, which is 7.071, rounds to 7.1

Answer:

4 would be 36

Step-by-step explanation:

PEMDAS! <3

Answer:

50

36

0

Step-by-step explanation:

The expression 2x^3 x^2 2x can be simplified to 4x^6. Since this is a polynomial of degree 6, it does not have critical points, which are only present in functions that have derivatives. So, the function 2x^3 x^2 2x has a critical point at x = 0.

Critical points are points where the derivative of a function is equal to zero or undefined.
Yes, the function 2x^3 x^2 2x has critical points.
To find the critical points, we first need to find the derivative of the function with respect to x. The function is f(x) = 2x^3 * x^2 * 2x.
Step 1: Combine like terms.
f(x) = 4x^6
Step 2: Calculate the derivative.
f'(x) = 24x^5
Step 3: Set the derivative equal to zero and solve for x.
24x^5 = 0
Step 4: Solve for x.
x = 0
So, the function 2x^3 x^2 2x has a critical point at x = 0.

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Answer:

h(x) = x^3

A function has an inverse that is also a function is it is a one-to-one function, a function is one-to-one if each value in the domain is linked to only one value in the range, and if each value in the range is linked to only one value in the domain.

Then, a function that is monotonous growing is always one to one, and a function is monotonous growing if the derivative is positive for all the values of x

The derivative of x^3 is:

h'(x) = 3*x^2

and as you know, x^2 is always equal or greater than zero, so h(x) = x^3 is monotonous growing, then it has a inverse that is also a function.

Answer:

  (a)  15 -18i

Step-by-step explanation:

You want the simplified form of the expression -2i(5- i) + (17- 8i).

For many purposes, the value i in a complex number can be treated in the same way a variable would be treated. When simplifying an expression involving i, any instances of i² can be replaced with the real value -1.

  -2i(5- i) + (17- 8i) = -10i +2i² +17 -8i

  = -2 +17 +(-10 -8)i

  = 15 -18i

__

Additional comment

Your scientific or graphing calculator can probably help you evaluate such expressions.

Answer:

B

Step-by-step explanation:

3×-2+12=6 and -2×-2+2=6. You could also do it in a calculator it you want to found out if it true. But the Answer will be B

Hope this Help

V(t) was never zero on the interval [ 0, ln 2] according to the mean-value theorem.

According to the Mean Value Theorem, if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then f'(c) must equal the function's average rate of change over [a, b] at some point c on the interval (a, b).

given

Assume that f: [a, b] R and that f has a local maximum or minimum at x0 (a, b). F 0 (x0) = 0 if f is differentiable at x0.

Proof: Let's assume that f has a local maximum at x0 (a, b). When h is small enough, f(x0 + h) f. (x0).

f(x0 + h) f(x0) h 0 if h > 0 else.

Similar to this, f(x0 + h) f(x0) h 0 if h 0.

As a result of fundamental limit qualities, f

We point out that if x0 is either an or b, the prior theorem is invalid. For instance, f has a maximum at 1 but f 0 (x) = 1 for all x [0, 1] if we take the function f: [0, 1] R such that f(x) = x.

V(t) was never zero on the interval [0, ln 2] according to the mean-value theorem.

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Answer:  The length of BD is 2.4

Step-by-step explanation:  BD is a leg of a right triangle, so use the

Pythagorean Theorem  a² + b² = c²  

BC is the hypotenuse here, so that is c = 3

We can use the segment CD as side b = 1.8

We will call BD side a, and solve to find that length.

a² + (1.8)² = 3²   Square the known values of b and c

 a² + 3.24 = 9     Subtract 3.24 from both sides.

a² = 9 - 3.24     Simplify

a²  =  5.76          Find the square root of both sides (Calculator time!)

a = 2.4

The range of the data set is, 28

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The data set is,

74, 64, 90, 74, 92, 68, 71

Now, We know that;

Range of data set is calculating by subtracting the lowest value from highest value.

Hence, The range is,

⇒ Highest value - Lowest value

⇒ 92 - 64

⇒ 28

Thus, The value of range = 28

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Answer:

The shaded region of A is 12.5% of the area of B.

Step-by-step explanation:

Although the side of square A is 50% of the side of square B, if you think about things logically here square A is only 25%of square B. Therefore the shaded area HAS to be half of 25% making the answer 12.5%

Answer:

12.5%

Step-by-step explanation:

Since it given that the length of the sie of a square A is 50% of the  length of the side of square B. As well as given us the question we need to find the answer to which is:

Express the area of the shaded region of square A as a percentage of the area of square B.

What we need:

Area of shaded region of Square A as a % of Area of Square B

Now we can solve but first :

Let "b" be the side length of Square B

Let "a" be the side length of Square A

As well as:

It given side length of Square A (a) = 50% (1/2) of side length of Square B (b), therefore we have,

a = ½b

Area of a square = s², where s is the  side length

Area of Square A = (½b)² = b²/4

Area of Square B = b²

Finding the area of the shaded region of the Square A = ½ of area of Square A.

Area of shaded region of Square A = ½*(b²/4) = b²/8

Expressing the area of the shaded portion of square A as a percentage of are of Square B:

Area of shaded portion of Square A ÷ Area of Square B × 100%

Solving:

⇒ \(\frac{\frac{b^2}{8}}{b^2}\times100\)

⇒\(\frac{b^2}{8}\times\frac{1}{b^2}\times100\)

⇒ \(\frac{b^2\times1}{8\timesb^2}\times100\)

⇒ \(\frac{b^2}{8\times b^2}\times100\)

⇒ \(\frac{1}{8}\times100=12.5\)

Base on the solving above we can conclude that:

The area of the shaded region of Square A is 12.5% of the area of Square B.

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Answer: Pythagorean triples are given by the formula:- AC² = AB² + BC²

The third side in the right triangle measures 23 units

Step-by-step explanation: The Pythagoras theorem as stated in the answer above is used in mathematics to solve for an unknown side(s) in any right angled triangle.

Pythagorean triples are so named because it refers to a right angled triangle in which the values of all three sides are always the same set of three numbers, and changing one of them changes everything completely. A very common Pythagorean triple is given as 3, 4 and 5. This means, the right angled triangle has sides measuring 3, 4 and 5. Hence to solve a right angled triangle with two sides given as 3 and 4 with the Pythagoras theorem is already half solved as the answer would always be 5.

Therefore, in a right triangle with leg lengths of 16, the first thing to note is that this a right isosceles triangle. We know this because a triangle with two legs having the same length is an isosceles triangle. That leaves us with the third side which is the hypotenuse. The Pythagoras formula just as stated above is given as follows;

AC² = AB² + BC²

Where AC is the hypotenuse (longest side), and AB and BC are the other two sides.

AC² = 16² + 16²

AC² = 256 + 256

AC² = 512

Add the square root sign to both sides of the equation

√AC² = √512

AC = 22.62741699...

AC ≈ 23

Therefore the Pythagorean triple as required by the question is given as

16, 16 and 23

Answer:

a. 4x+8

c. 8x+12

d. 6x+6y+6z

b. 6x+8x

Step-by-step explanation:

The distributive property means that the term on the outside of the parentheses can be multiplied by each term on the inside. Take question C for example. You have to multiply 4 by 2x to get 8x, but also multiply 4 by 3 to get 12. These two terms are then connected by the addition as seen within the parentheses, which gives you 8x+12.

Answer:

(x, y) = (23, 4)

Step-by-step explanation:

2x - 5y = 26

x - 5y = 3 $\Rightarrow$ x = 3+5y

substituting the value of x ( second equation) into the first equation, we get, 2(3+5y) - 5y = 26. Simplifing, we get,

6+10y - 5y =26

5y = 20

y = 4

So, x = 3+5*4 = 3+20 = 23

Answer:

\(\left \{ {{x=23} \atop {y=4}} \right.\)

Step-by-step explanation:

\(\left \{ {{2x - 5y =26} \atop {x-5y=3}} \right.\)

you can add 5y to both sides of the second equation:

\(x = 5y + 3\)

Then, substitute:

\(2(5y + 3) - 5y = 26\)

use the distributive property on the left side:

\(10y + 6 - 5y = 26\)

\(5y + 6 = 26\)

subtract 6 from both sides

\(5y = 20\)

divide both sides by 5

\(y = 4\)

Substitute into original equation

\(x - 5y = 3 --> x - 5(4) = 3\\x - 20 = 3\\x = 23\)

Answer:

it's base times height or it can be the width of the shape

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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The required number of ways the 6 medals can be distributed among boys and girls is 14400 ways.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
10 boys and 11 girls are competing, Number different ways, the six medals possibly be given out is,
= 10C3 × 10C3
= 14400

The required number of ways the 6 medals can be distributed among boys and girls is 14400 ways.

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The given data shows the walking cadence values (in strides per second) that were measured on 10 randomly selected healthy Halifax men. We need to calculate the sample mean cadence and the sample standard deviation of the cadences, and also compute a 90% confidence interval for population mean cadence.

a) Sample mean cadence:We know that the formula for the sample mean is given by:μ = (ΣX)/nwhere X is the sample data, Σ is the sum of the sample data, and n is the sample size.

Substituting the given values:μ = (0.91 + 0.82 + 0.90 + 0.81 + 0.87 + 0.84 + 0.83 + 1.00 + 0.87 + 0.86)/10μ = 0.872Therefore, the sample mean cadence is 0.87 (rounded to two decimal places).

b) Sample standard deviation of cadences:We know that the formula for sample standard deviation is given by:

s = sqrt [ Σ(xi - μ)² / (n - 1) ]where xi is the individual data point, μ is the sample mean, and n is the sample size.

Substituting the given values:

s = sqrt [ (0.91 - 0.872)² + (0.82 - 0.872)² + (0.90 - 0.872)² + (0.81 - 0.872)² + (0.87 - 0.872)² + (0.84 - 0.872)² + (0.83 - 0.872)² + (1.00 - 0.872)² + (0.87 - 0.872)² + (0.86 - 0.872)² / (10 - 1) ]s = sqrt [ 0.000436 / 9 ]s = sqrt [ 0.0000484 ]s = 0.00696.

Therefore, the sample standard deviation of cadences is 0.007 (rounded to three decimal places).c) 90% confidence interval for population mean cadence:We know that the formula for the confidence interval is given by:

CI = μ ± (Zα/2 × σ/√n)where μ is the sample mean, Zα/2 is the Z-value for the level of confidence, σ is the sample standard deviation, and n is the sample size.

Substituting the given values:μ = 0.872σ = 0.007n = 10For a 90% confidence interval, the Z-value for α/2 = 0.05 is 1.645 (using a Z-table).Therefore,CI = 0.872 ± (1.645 × 0.007/√10)CI = 0.872 ± 0.006Lower bound = 0.866,

Upper bound = 0.878Therefore, the 90% confidence interval for population mean cadence is 0.866 to 0.878 (rounded to two decimal places).

Walking cadence values that are measured on 10 randomly selected healthy Halifax men are shown in the data. From this data, we need to calculate the sample mean cadence and the sample standard deviation of the cadences, and also compute a 90% confidence interval for the population mean cadence. Firstly, to calculate the sample mean, we use the formula:μ = (ΣX)/nwhere X is the sample data, Σ is the sum of the sample data, and n is the sample size. On substituting the values in this formula, we get the sample mean cadence as 0.87.

Secondly, to calculate the sample standard deviation, we use the formula:s = sqrt [ Σ(xi - μ)² / (n - 1) ]where xi is the individual data point, μ is the sample mean, and n is the sample size. On substituting the values in this formula, we get the sample standard deviation of cadences as 0.007.

Finally, to compute a 90% confidence interval, we use the formula:CI = μ ± (Zα/2 × σ/√n)where μ is the sample mean, Zα/2 is the Z-value for the level of confidence, σ is the sample standard deviation, and n is the sample size. On substituting the values in this formula, we get the lower bound and upper bound of the 90% confidence interval for population mean cadence as 0.866 and 0.878, respectively.

Therefore, we can conclude that the population mean cadence is expected to lie between these values with 90% confidence.

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