Which equation is equivalent to 8x + 2y = 10?

In Analysis of variance,  X (bar) is not affected by whether or not the population means are equal.

Analysis of variance  is a statistical method for examining differences in means. It consists of a number of statistical models and the accompanying estimating techniques (such as the "variation" within and between groups). Ronald Fisher, a statistician, created Analysis of variance. The rule of total variance, on which the Analysis of variance is based, divides the observed variance in a given variable into components owing to various causes of variation.

ANOVA generalizes the t-test beyond two means by offering a statistical test to determine if two or more population means are equal. In other words, the Analysis of variance is employed to determine whether two or more means differ from one another.

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Answer:

(x-5)(2x+1)

Step-by-step explanation:

Its called google XD

Answer:

2.2876792e+13

Step-by-step explanation:

Answer:

9^14

Step-by-step explanation:

9^7 / 9^-7

= 9^ 7 - (-7)

= 9^14

The given equation f(x) = (s + 1) / (s² + s + 1) does not have any real-valued poles or zeros. Therefore, there is nothing to plot using Octave or any other graphing tool.

To find the poles and zero of the given equation f(x) = (s + 1) / (s² + s + 1), we can set the denominator equal to zero and solve for the values of s that make the denominator equal to zero.

2.1. Finding the poles and zero analytically:

The denominator of the equation is s² + s + 1. To find the poles, we solve for s:

s² + s + 1 = 0

Using the quadratic formula, we have:

s = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 1, b = 1, and c = 1. Substituting these values into the quadratic formula, we get:

s = (-1 ± √(1 - 4(1)(1))) / (2(1))

= (-1 ± √(-3)) / 2

Since the discriminant (-3) is negative, the equation does not have any real solutions. Therefore, we can state that there exisits no real-valued poles or zeros for this equation.

2.2. Plotting the poles and zeros using Octave, we get:

Since there are no real-valued poles or zeros, there is nothing to plot in this case.

Please note that the given equation does not have any real-valued poles or zeros.

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Answer:

V% = (100(x - y)/x)%

Step-by-step explanation:

We are given;

Selling price with VAT = Rs. x

Selling price without VAT = Rs. y.

Thus; VAT = Rs. (x - y)

Rate of VAT(V%) = ((x - y)/x) × 100%

= (100(x - y)/x)%

Optimal path and trajectory planning for serial robots involves finding the most efficient and effective way for a robot to move from one position to another. This is important in tasks such as industrial automation, where time and energy efficiency are crucial.

Inverse kinematics is a mathematical technique used to determine the joint angles required to achieve a desired end effector position and orientation. It is particularly useful for redundant robots, which have more degrees of freedom than necessary to perform a task. Inverse kinematics allows for optimizing the robot's motion to avoid obstacles, minimize joint torques, or maximize performance metrics.

Fast solutions of parametric problems involve efficiently solving optimization or control problems with varying parameters. This is often necessary in real-time applications where the robot's environment or task requirements may change.

In summary, optimal path and trajectory planning for serial robots involves using inverse kinematics to determine joint angles, especially for redundant robots. Fast solutions of parametric problems enable real-time adaptation to changing conditions. These techniques improve the efficiency and effectiveness of robotic systems.

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The test score is 91.5.

z-score:

A z-score is the number of standard deviations from the mean value of the reference population.

Here we have to find the test score.

Mean(μ) = 90

Standard deviation(б) = 15

z-score = 0.1

Formula for z-score:

z = X - μ / б

Now putting the values in the equation:

0.1 = X - 90 / 15

1.5 = X - 90

X = 91.5

Therefore the test score is 91.5.

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Answer: 17/20

Step-by-step explanation:

It's quite simple to solve this. Convert all of the fractions into decimal form:

21/25 = 0.84 (84%)

0.8 = 80%

82% (already in %)

17/20 = 0.85 (85%)

Therefore, the largest percentage, which is 17/20 in this situation, is Erin's highest score.

Answer:

This means that Nathan's average speed was 12 miles per hour.

Step-by-step explanation:

54 divided by 4.5 is 12

Answer:

negative number

Step-by-step explanation:

negative numbers are the opposite of real numbers . for example

-5 -4 -3 -2 -1 0 1 2 3 4 5

Answer:

84

Step-by-step explanation:

Multiply 35 by 2.5

Answer:

75 windows

Step-by-step explanation:

35 ---- 7

x ----- 15

\(x=\frac{(35)(15)}{7} =75\)

Hope this helps

The tοtaI number οf textbοοks sοId is indeed 268, and we have οur sοIutiοn: 67 biοIοgy textbοοks and 201 histοry textbοοks were sοId.

A variabIe in mathematics is defined as an aIphabetic character that represents a numericaI vaIue οr a number, and it is used tο represent an unknοwn quantity in aIgebraic equatiοns.

Let's use variabIes tο represent the number οf histοry and biοIοgy textbοοks sοId.

Let x be the number οf biοIοgy textbοοks sοId.

Then, accοrding tο the prοbIem, the number οf histοry textbοοks sοId was three times this amοunt, which means there were 3x histοry textbοοks sοId.

We aIsο knοw that the tοtaI number οf textbοοks sοId was 268. Sο we can write an equatiοn:

x + 3x = 268

SimpIifying the Ieft side:

4x = 268

Dividing bοth sides by 4:

x = 67

Sο, 67 biοIοgy textbοοks were sοId.

And the number οf histοry textbοοks sοId was three times that amοunt:

3x = 3(67) = 201

Therefοre, 201 histοry textbοοks were sοId.

Tο check:

67 + 201 = 268

Sο the tοtaI number οf textbοοks sοId is indeed 268, and we have οur sοIutiοn: 67 biοIοgy textbοοks and 201 histοry textbοοks were sοId.

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Answer:

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Choices A., B., and C. are always true.

Choice D. is true only for rectangles with congruent sides, which are squares.

Answer: D.

The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:

The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.

1. Convert the given complex number to trigonometric form:

  √3/2 - 1/2i = cos(θ) + i*sin(θ)

  By comparing the real and imaginary parts, we can determine the angle θ:

  cos(θ) = √3/2

  sin(θ) = -1/2

  Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.

2. Find the angle between successive fourth roots:

  Since we are interested in the fourth roots, we divide the angle θ by 4:

  θ/4 = (5π/6) / 4 = 5π/24

  This angle represents the angular distance between two successive fourth roots on the unit circle.

3. Calculate the distance between the two points:

  To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):

  Distance = (5π/24) * 1 = 5π/24

  Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

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Answer:

6 and 8

Step-by-step explanation:

x =     one integer

x+2 = other integer

Pythagorean Theorem:

x^2   +   ( x+2)^2 = 10^2

x^2 + x^2 + 4x + 4 = 100

2x^2 + 4x - 96 = 0

x^2 + 2x -48 = 0           Use factoring   ( or Quadratic Formula)

(x+8)(x-6) = 0     shows x = 6     the other integer is 8

Answer:  I am sorry if this doesn't answer you but I don't know this answer

Step-by-step explanation: Please accept.

The density function of X = XY is f(x,z) = x²e^(-x)(Z + X) / (XZ).To find the conditional density of X given Y = y, we use the formula:f(x|y) = f(x,y) / f(y),

where f(x,y) is the joint density function and f(y) is the marginal density function of Y.

1. Conditional Density of X given Y=y:

Given the joint density function f(x,y) = xe^(-x)(y+1), x > 0, y > 0, and the marginal density function of Y is obtained by integrating f(x,y) over all possible x values:

f(y) = ∫(0 to ∞) xe^(-x)(y+1) dx

To find f(y), we integrate f(x,y) with respect to x:

f(y) = ∫(0 to ∞) xe^(-x)(y+1) dx = (y+1) ∫(0 to ∞) xe^(-x) dx

We recognize that the integral is the gamma function, Γ(2), which equals 1! = 1:

f(y) = (y+1) * 1 = y+1

Now, we can find the conditional density of X given Y = y:

f(x|y) = f(x,y) / f(y)

       = (xe^(-x)(y+1)) / (y+1)

       = xe^(-x)

Therefore, the conditional density of X given Y = y is f(x|y) = xe^(-x).

2. Density function of X = XY:

To find the density function of X = XY, we need to transform the joint density function f(x,y) into the joint density function of X and X = XY.

Let's define a new variable Z = XY. To find the joint density function of X and Z, we use the transformation rule:

f(x,z) = f(x,y) / |(∂(x,z) / ∂(x,y))|,

where |(∂(x,z) / ∂(x,y))| is the absolute value of the Jacobian determinant of the transformation.

First, we solve Z = XY for y:

y = Z / X.

Next, we calculate the Jacobian determinant:

|(∂(x,z) / ∂(x,y))| = |(1 * Z / X²)|

                    = |Z / X²|

                    = Z / X² (since Z and X are always positive)

Now, we can find the joint density function of X and Z:

f(x,z) = f(x,y) / |(∂(x,z) / ∂(x,y))|

       = (xe^(-x)(y+1)) / (Z / X²)

       = x²e^(-x)(y+1) / Z

Substituting y = Z / X, we have:

f(x,z) = x²e^(-x)((Z / X) + 1) / Z

      = x²e^(-x)(Z + X) / (XZ)

Therefore, the density function of X = XY is f(x,z) = x²e^(-x)(Z + X) / (XZ).

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The distance between the centers of the two wheels is approximately 11.86 feet.

The length of the conveyor belt is equal to the circumference of the circle formed by each wheel plus the distance between the centers of the two wheels.

Let's call the distance between the centers of the two wheels "d". The circumference of each wheel can be calculated using the formula

C = πd

Since each wheel has a diameter of 1 foot, its radius is 0.5 feet. Therefore, the circumference of each wheel is:

C = πd = π(0.5) = 1.57 feet (approx.)

The length of the conveyor belt is given as 15 feet. So we can write

2C + d = 15

Substituting the value of C, we get

2(1.57) + d = 15

3.14 + d = 15

d = 11.86 feet

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Answer:

The measure of the angle is 36°

Step-by-step explanation:

Let the measure of angle be x

Supplementary angles : A pair of angles whose sum is 180° is called supplementary angles

So, Supplement of x = 180°-x°

Complementary angles  A pair of angles whose sum is 90° is called complementary angles

So, Complement of x = 90°-x°

We are given that Three times the measure of a supplement of an angle is eight times the measure of a complement of the angle

So, 3(180-x)=8(90-x)

540-3x=720-8x

8x-3x=720-540

5x=180

x=36

So,  the measure of the angle is 36°

Answer:

Pentagon

Step-by-step explanation:

im not sure if i am correct. i did some research but it said all of them could be concidered a rectangle so i guessed

Answer:

27.26

Step-by-step explanation:

The area of the figure  can be found by breaking into smaller figures.

The shapes resembles an octagon and a semi circle on one end

Obviously here you wouldn't be able to get a value for the area since there aren't any values but this is what you got to do:

1. Area of semi-circle. 1/2 * pi *r^2

Here we know that r = 1/2 of PH so the area of the semi-circle is 1/2*pi*(1/2PH)^2

2. Area of rectangle. LxW

This one is easy, Length times width. ON/HK (cus they're the same) times (OH/NK)

3. Triangles

For both triangles you need the height of the triangle. in triangle NML this would be the length from M to the line NL. You do this for both triangles and then use (base times height)/2 for the area.

4. Add all those areas up.

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Answer:

122

Step-by-step explanation:

Given information, line t is parallel to line s.

angle 1 and angle 2 are alternate angles and so their measure is equal to each other:

10x + 2 = 12x - 22 transfer like terms to the same side of the equation

2 + 22 = 12x - 10x

24 = 2x divide both sides by 2

12 = x to find the measure of angle 2 replace x with the value we found

12*12 - 22 = 122

Answer:

AB = 10.2m

Step-by-step explanation:

Area of triangle ADC = 52m²

AD = 12m, angle D = 102°

Area of triangle ADC = ½ × a × b × sinC

52m² = ½ × 12 × CD × sin102

52 = 6 × CD × 0.9781

CD = 52/(6× 0.9781)

CD = 52/(5.8686)

CD = 8.86m = 8.9m (1 decimal place)

Using Cosine rule to find AC = d

d² = a² + c² -2×a×d ×cosD

d² = 8.9² + 12² - 2×8.9×12× Cos102

Cos102 = -0.2079

d² = 267.61744

d = √(267.61744)

AC = d = 16.4m

For ∆ABC

Using sine rule:

a/sinA = b/sinB

AB/sin46 = AC/sin120

AB/0.7193 = 16.4/0.866

AB = 14.2024 ×0.7193

AB = 10.2m (1 decimal place)

Answer: 13.6

Step-by-step explanation:

See photo

Answer:

3 : 7 =>

Anna = $180

Raman = $420

1 : 4 =>

Anna = $120

Raman = $480

Step-by-step explanation:

Shares when ratio is 3 : 7

Anna : Raman = 3 : 7

Sum of ratio 10

Anna's share=

                   \(\frac{3}{10} \times 600 = \$ 180\)

Raman 's share=

                  \(\frac{7}{10} \times 600 = \$ 420\)

Shares when ratio is 1 : 4

Anna : Raman = 1 : 4

Sum of ratio = 5

Anna 's share =

                   \(\frac{1}{5} \times 600 = \$ 120\)

Raman's share =

                  \(\frac{4}{5} \times 600 = \$ 480\)

Answer:

1st year value =45$ 2nd year value=45+2.80$=47.80$ 3rd year value=47.8+2.80$=50.60$ 4th year value=50.60+2.80=53.40$ 5th year value=53.40+2.80=56.20$ ater 5 years value of share becomes 56.20$ or share after 5 years= 45+4*2.80=45+11.20=56.20$

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