What is the greatest common factor of x^5, x^6, x^8?

Answer:

chk photo

Step-by-step explanation:

Answer: 67 + x = 180

Step-by-step explanation:

Since the angles are supplementary, together they'd add up to 180. Since we do not know the degrees of Angle 2, we arrange x in the equation.

Hope this helps you! Good luck! <3

Answer: Distance

5

Midpoint

(

2

,

0.5

)

Slope

−

I

n

f

∈

i

t

y

Tiger found no solution.

See steps

y intercept

I

n

f

∈

i

t

y

See steps

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(2+2)/2=2

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(3+-2)/2=0.5

The midpoint is: (2,0.5)

Graphing the two points, midpoint and distance

P1 (2,3)

P2 (2,-2)

Midpoint (2,0.5)

The length of the black line is the distance between the points (5)

Step-by-step explanation:

P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:

\( \large \boxed{m_1 = m_2}\)

We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:

Back to the question. We want to find the equation of a line that is parallel to the line x = -2 and passes through (5,4) point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.

Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.

Answer

I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!

Answer:

30 cm

Step-by-step explanation:

Make sure all units are the same!

P = Perimeter

A = Area

Formula used for similar figures:

\(\frac{A_{1}}{A_{2}} = (\frac{l_{1}}{l_{2}})^{2}\) —- eq(i)

\(\frac{P_{1}}{P_{2}} = \frac{l_{1}}{l_{2}}\) ———— eq(ii)

Applying eq(ii):

∴\(\frac{25}{P_{2}} = \frac{10}{12}\)

Cross-multiplication is applied:

\((25)(12) = 10P_{2}\)

\(300 = 10P_{2}\)

\(P_{2}\) has to be isolated and made the subject of the equation:

\(P_{2} = \frac{300}{10}\)

∴Perimeter of second figure = 30 cm

Friedman's Rank Test is appropriate in the case where a researcher wanted to compare the ratings of three different video games. Each game was given eight ratings by eight reviewers.

The Friedman test is a non-parametric statistical test developed by Milton Friedman. Similar to Parametric Repeated Measures ANOVA, it is used to detect differences in treatment across multiple test trials.

Friedman test assumptions

Wilcoxon sign rank test is used to compare the location of two populations using a set of matched pairs.Since no set of matched pairs is here, so we will not use this. Since the number treatments (types of video games) is 3 and ratings is ordinal in nature, so Friedman's Rank test is appropriate.

To learn more about Friedman's Rank test, refer:

https://brainly.com/question/14301858

#SPJ4

The parallel linear functions are given as follows:

1) y = x + b, b ≠ 17.

4) y = b, b ≠ -3.

5) y = b, b ≠ 19.

6) x = b, b ≠ 19.

The definition of a linear function, in slope-intercept format, is given as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

When two linear functions are parallel, they have the same slope, along with different intercepts.

Hence, the parallel functions are given as follows:

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The line integral ∫cf⋅dr, where f(x,y)=yexyi + xexyj and c is r(t)=ti−8tj, 0≤t≤1, is equal to -3e - 8.

To evaluate the line integral, we first need to parameterize the curve c. In this case, we have c(t) = ti - 8tj, 0 ≤ t ≤ 1. We can then calculate dr/dt = i - 8j, and substitute it into the formula for the line integral:

∫cf⋅dr = ∫0^1 f(c(t)) ⋅ (i - 8j) dt

Substituting the function f(x,y) into the integral and evaluating, we get:

∫cf⋅dr = ∫0^1 (t * e^(t(-8))) dt = (-3e - 8)

Therefore, the line integral ∫cf⋅dr, where f(x,y)=yexyi + xexyj and c is r(t)=ti−8tj, 0≤t≤1, is equal to -3e - 8.

For more questions like Function click the link below:

https://brainly.com/question/21145944

#SPJ11

The probability of a random observation from normally distributed data being above average is 50% since the normal distribution curve is symmetrical. The mean is at the center of the curve, where 50% of the data is above it, and the other 50% is below it.

If the question is more specific about being above a particular value above the mean, then the probability can be calculated using the z-score or the standard deviation.

Know more about the normal distribution curve

https://brainly.com/question/23418254

#SPJ11

Answer:

none of the above? sorry not too sure

An equation that could describe the graph below include the following: A. y = (1/2)^x + 6.

In Mathematics, an exponential function can be modeled by using this mathematical expression:

f(x) = a(b)^x

Where:

Generally speaking, When the base value or y-intercept (a) is less than one (1), the graph of an exponential function increases exponentially to the left. Additionally, the smaller the value of y-intercept (a), the steeper the slope (b) of the line.

By critically observing the graph of this exponential function, we can logically deduce that it was vertically shifted up by 6 units.

Read more on exponential equation here: brainly.com/question/28939171

#SPJ1

Given:

percentage decerease = 25%

current price of the grill = $496

Let the original price of the grill be x

We can calculate percentage decrease using the formula:

Substituting the given values we have:

Cross-Multiply:

Hence, we can conclude that the original price of the grill is approximately $661.33

Answer:

$661.33

Answer:

uhhh i forgot but its one of the bopttom 2

Step-by-step explanation:

The angles that form a linear pair will be equal to 180°.

Your information is incomplete. Therefore, an overview will be given.

It should be noted that the angle postulate theorem is that when two angles are beside each other, and have a common vertex, the sum will be equal to the sum of the resulting angle.

In this case, it should be noted that angles that form a linear pair will be equal to 180°

Learn more about angles on:

brainly.com/question/25716982

#SPJ1

Answer:

70°

Step-by-step explanation:

angle abc =140°

and bd bisected by bd so, bd divede angle abc.

angle dbc= angle abc / 2

angle dbc=140°/2

angle dbc=70°

Answer:

x^2+9x+8

Step-by-step explanation:

Expand the following:

(x + 1) (x + 8)

(x + 1) (x + 8) = (x) (x) + (x) (8) + (1) (x) + (1) (8):

x x + 8 x + x + 8

x x = x^2:

x^2 + 8 x + x + 8

Grouping like terms, x^2 + 8 x + x + 8 = x^2 + (8 x + x) + 8:

x^2 + (8 x + x) + 8

8 x + x = 9 x:

Answer: |

| x^2 + 9 x + 8

Answer:

2 x 3 = 6 cups

Step-by-step explanation:

As per the given equations, the greatest common factor of 52x²y⁵ and 135x³y² is x²y².

To find the greatest common factor (GCF) of 52x²y⁵ and 135x³y², we need to determine the highest power of each common factor that divides both terms.

Let's break down the given terms into their prime factors:

52x²y⁵ = 2² * 13 * x² * y⁵

135x³y² = 3³ * 5 * x³ * y²

Now, we look for the common factors and determine the highest power of each factor that divides both terms:

Common factors:

- x² (appears in both terms)

- y² (appears in both terms)

Highest power of x²:

- In 52x²y⁵, the power of x² is 2.

- In 135x³y², the power of x² is 2.

Highest power of y²:

- In 52x²y⁵, the power of y² is 2.

- In 135x³y², the power of y² is 2.

Therefore, the GCF of 52x²y⁵ and 135x³y² is x²y².

For more details regarding greatest common factor, visit:

https://brainly.com/question/29584814

#SPJ1

Answer:

Y = 8x - 55

Step-by-step explanation:

Answer:

1. 7

2. 12

3. 31

4. 1

Step-by-step explanation:

The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

For more about triangles,

https://brainly.com/question/2773823

#SPJ1

To find the exact length of the curve defined by the parametric equations x = 5t^2 and y = 3t^3, where 0 ≤ t ≤ 3, we can use the arc length formula for parametric curves.

The arc length formula for a parametric curve defined by x = f(t) and y = g(t) over the interval [a, b] is given by:

L = ∫[a,b] √[ (dx/dt)^2 + (dy/dt)^2 ] dt

In this case, we have x = 5t^2 and y = 3t^3, with the parameter t ranging from 0 to 3.

First, we need to find the derivatives of x and y with respect to t:

dx/dt = d/dt (5t^2) = 10t

dy/dt = d/dt (3t^3) = 9t^2

Next, we substitute these derivatives into the arc length formula:

L = ∫[0,3] √[ (10t)^2 + (9t^2)^2 ] dt

L = ∫[0,3] √(100t^2 + 81t^4) dt

Now, we can integrate the expression inside the square root with respect to t:

L = ∫[0,3] √(100t^2 + 81t^4) dt

L = ∫[0,3] t√(100 + 81t^2) dt

Unfortunately, this integral does not have a simple closed-form solution. We would need to evaluate it numerically using numerical integration techniques or computer software.

So, the exact length of the curve cannot be determined algebraically. However, it can be approximated using numerical methods.

Learn more about length here: brainly.com/question/32388292

#SPJ11

System (1) is stable, causal, linear, time-invariant, and has memory. System (2) does not exhibit causality. However, it has memory due to the integration operation.

To determine the properties of the given systems, let's analyze each one separately:

System 1: y(t) = 4x(t - 5)cos(t)

1) Stability: A system is considered stable if its output remains bounded for bounded input. In this case, the output y(t) is multiplied by a cosine function, which is bounded between -1 and 1. As long as the input x(t) is bounded, the output will also be bounded. Therefore, System 1 is stable.

2) Causality: A system is causal if the output at any given time depends only on the current and past values of the input. In this case, the output y(t) depends on the current and past values of x(t) due to the term x(t - 5). Thus, System 1 is causal.

3) Linearity: A system is linear if it satisfies the properties of superposition and scaling. Superposition means that the output resulting from the sum of two inputs is equal to the sum of the outputs from each individual input. Scaling means that multiplying the input by a constant scales the output by the same constant. In this case, System 1 is linear since both superposition and scaling properties hold.

4) Time Invariance: A system is time-invariant if a time shift in the input results in the same time shift in the output. In this case, the term x(t - 5) indicates a time shift of 5 units. As a result, the system exhibits time invariance.

5) Memory: A system has memory if the output at any given time depends on past and/or future values of the input. In System 1, the output y(t) only depends on the current and past values of x(t), indicated by the term x(t - 5). Thus, it has memory.

System 2: y(t) = ∫x(t)dt - t

1) Stability: It depends on the properties and behavior of x(t) as well as the integration operation.

2) Causality: In this case, the output y(t) depends on both the current and future values of the input x(t) due to the integration operation. Therefore, System 2 is not causal.

3) Linearity: It depends on the properties and behavior of x(t) as well as the integration operation.

4) Time Invariance: It depends on the properties and behavior of x(t) as well as the integration operation.

5) Memory: The system has memory since the output y(t) depends on the integral of past and current values of x(t).

To know more about integration operation refer here :    

https://brainly.com/question/19317515#

#SPJ11              

Answer:

-3

Step-by-step explanation:

the answer is negative 3, because when x is two, y is three

Answer:

f(2) = -3

Step-by-step explanation:

This is the answer because:

1) The question is basically asking what the y-cordinate is.

2) In order to find the y-cordinate, look at the graph and find where 2 is on the x-axis. Then, see wheree the y-coordinate is on the same line a the x-cordinate which is 2.  

3) When you line up the cordinates, you can see that where x is 2, y is -3.

Therefore, the answer is -3.

Hope this helps! :D

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

We have,

The stationing of the end of excavation can be determined by adding the given sections to the starting station.

Assuming the starting station is Station 2+020, the end of excavation would be at Station 2+080 (given as Station 2+020 + 60 meters).

To find the volume of fill by end area method, we need to calculate the area of the end section and multiply it by the distance between the start and end stations.

Given that the base for fill is 12 meters and the sideslope for fill is 2:1, the area of the end section can be calculated as follows:

Area of end section = (Base for fill) * (Sideslope for fill)

Area of end section = 12 * (2/1) = 24 square meters

Now, multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of fill:

Volume of fill = Area of end section * Distance

Volume of fill = 24 * 60 = 1440 cubic meters

Therefore, the volume of fill by end area method is 1440 cubic meters.

Similarly, to compute the volume of excavation by end area, we calculate the area of the end section (base for cut * sideslope for cut) and multiply it by the distance between the start and end stations. Given that the base for cut is 12 meters and the sideslope for cut is 1.5:1, the area of the end section can be calculated as follows:

Area of end section = (Base for cut) * (Sideslope for cut)

Area of end section = 12 * (1.5/1) = 18 square meters

Multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of excavation:

Volume of excavation = Area of end section * Distance

Volume of excavation = 18 * 60 = 1080 cubic meters

Therefore, the volume of excavation by end area is 1080 cubic meters.

Thus,

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

Learn mroe about earthwork constructions here:

https://brainly.com/question/25749167

#SPJ4

Answer:

A) x = 15

Step-by-step explanation:

4x - 30 = 2x

subtract 2x from each side of the equation:

2x - 30 = 0

add 30 to each side:

2x = 30

x = 15

Answer:

\( \displaystyle A) {15}^{ \circ} \)

Step-by-step explanation:

remember that,

when a transversal crosses two parallel lines then the Alternate interior angles are equal that is being said

\( \displaystyle 4x - 30 = 2x\)

cancel 2x from both sides:

\( \displaystyle 2x - 30 = 0\)

add 30° to both sides:

\( \displaystyle 2x = 30\)

divide both sides by 2:

\( \displaystyle x =15\)

hence

our answer is A)

Answer:

59

Step-by-step explanation:

59

Answer:

I think it's nonlinear