how to get the greatest common factor of 152,171 and 57​

The quadratic function that passes through points is P(x) = 5(x - 5)(x - 9)

From the question, we have the following requirements that can be used in our computation:

The quadratic function, P(x), in factored form  is represented as

P(x) = a * product of (x - zeros)

So, we have

P(x) = a(x - 5)(x - 9)

Using the point (7, -20), we have

a(7 - 5)(7 - 9) = -20

So, we have

a = 5

Recall that

P(x) = a(x - 5)(x - 9)

So, we have

P(x) = 5(x - 5)(x - 9)

Hence, the function is P(x) = 5(x - 5)(x - 9)

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Answer: 132 cubic cm

Step-by-step explanation: 6 x 5 x 3= 90 + 42

Inverse relationships between operations are used to solve two-step inequalities because they allow us to isolate the variable on one side of the inequality.

A two-step inequality involves two operations that need to be undone in reverse order to solve for the variable. Inverse relationships between operations are used to "undo" these operations, leading to an isolated variable.

For example, consider the inequality 2x + 5 > 11. The first operation being performed on x is multiplication by 2, and the second operation is adding 5. To solve for x, we need to undo these operations in reverse order.

The inverse relationship of multiplication by 2 is division by 2, and the inverse relationship of adding 5 is subtracting 5. Therefore, we can solve the inequality as follows:

2x + 5 > 11

2x > 6 (subtract 5 from both sides)

x > 3 (divide both sides by 2)

Here, we first subtracted 5 from both sides to undo the addition of 5, and then divided both sides by 2 to undo the multiplication by 2.

Inverse relationships between operations are used in two-step inequalities because they help to simplify the equation by undoing the operations one by one, leading to an isolated variable.

By using inverse relationships between operations, we can efficiently and systematically solve two-step inequalities and isolate the variable to find the solution set.

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Answer:

I assume you are referring to a rectangular prism with dimensions of 7 feet by 13 feet by 5 feet and you are trying to identify which dimension represents the length, width, and height.

In a rectangular prism, the length is typically considered the longest dimension, while the width and height are interchangeable depending on the orientation of the prism.

So, in this case, it is likely that the 13 feet dimension represents the length, while the 7 feet and 5 feet dimensions represent the width and height (in either order). However, it is important to note that without more context, it is impossible to know for sure which dimension is which.

Answer: The correct equation to use is, C. 10,000 ÷ 2,000

Which simplifies to: 5

Therefore, it will take 5 days for the mountain climber to descend from an elevation of 10,000 feet to sea level, assuming they descends at a constant rate of 2,000 feet per day.

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Okay, let's break this down step-by-step:

* The spinner has 5 equal sections, numbered 1 through 5.

* Each section represents a 1 in 5 chance of landing on a particular number.

* The spinner has a 3 section.

* Jashon will spin the spinner 150 times.

So, to calculate the expected number of times a 3 will come up:

* There is 1 section for the number 3 out of the 5 total sections.

* So the probability of landing on the 3 section is 1/5 = 0.2

* In 150 spins, the probability of landing on 3 will be 0.2 multiplied by 150 spins.

* So 0.2 * 150 = 30

Therefore, if Jashon spins the spinner 150 times, he can expect the number 3 to come up approximately 30 times.

Let me know if you have any other questions!

your answer is 3.375

Answer:

63 cubic inches

Step-by-step explanation:

To find the volume of the rectangular prism mini-flashlight, we need to multiply its length, width, and height.

Given that the width is 3 inches, the height is 14 inches, and the length is 1.5 inches, we have:

Volume = length x width x height

Volume = 1.5 in x 3 in x 14 in

Volume = 63 cubic inches

Therefore, the volume of the mini-flashlight is 63 cubic inches.

The polynomial, P(x), in factored form  is P(x) = (x - 5)(x + 2)^2(x + 3)

From the question, we have the following requirements that can be used in our computation:

The polynomial, P(x), in factored form  is represented as

P(x) = (x - zeros)

So, we have

P(x) = (x - 5)(x + 2)^2(x + 3)

(x + 2) has an exponent of 2 because it makes the polynomial have a degree of 4

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Answer:

-2.67, -2.43, 2.045, 2.56

Step-by-step explanation:

First, we can convert -2 2/3 to a decimal by dividing 2 by 3 and subtracting the result from -2, which gives us:

-2 2/3 = -2.67

Next, we can convert 2 5/9 to a decimal by dividing 5 by 9 and adding the result to 2, which gives us:

2 5/9 = 2.56

So, the ordered list is:

-2.67, -2.43, 2.045, 2.56

Answer:

253 divided by 4 is 63.25.

Here's the work:

```

4) 253.00

   24

  ---

    13

    12

   ---

     13

     12

    ---

      1

```

Therefore, the answer is 63.25.

Answer:

To represent each part of Alexi's circle as a fraction, we need to determine the total number of parts in the circle and the number of parts represented by each tile.

Adding up the number of tiles, we get:

1 + 2 + 5 + 6 + 8 = 22

So there are a total of 22 parts in Alexi's circle.

To find the fraction represented by each tile, we can divide the number of parts represented by the tile by the total number of parts in the circle.

Starting with the first tile, which represents 1 part, the fraction it represents is:

1/22

Moving to the second tile, which represents 2 parts, the fraction it represents is:

2/22 = 1/11

Continuing in the same way for the remaining tiles, we get:

So the fractions represented by each part of Alexi's circle are

The graph of the function f(x) with vertex (1, 2) and another point (0, 2) is shown below.

Consider a function f(x) = 3x² - 6x + 2

We know that the graph of quadratic function is a parabola.

We graph the function f(x)

The graph of function f(x) is shown below.

From the graph of f(x), we can observe that the vertex of parabola is (1, 2)

For x = 0 the value of the function f(x) would be,

f(x) = 3x² - 6x + 2

f(0) = 3(0)² - 6(0) + 2

f(0) = 0 - 0 + 2

f(0) = 2

This means that the y-intercept of f(x) is (0, 2)

Therefore, the reuired graph of the function f(x) is shown below.

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The standard error is 0.0912.

The standard error (SE) is a measure of the precision of the sample mean estimate compared to the true population mean. To calculate the SE, we use the formula SE = standard deviation / square root of sample size.

In this scenario, the population parameter is 0.7, and the sample size is 30. If we assume that the sample mean is an unbiased estimator of the population mean, then the SE can be calculated using the above formula. However, we do not know the standard deviation of the population, so we use the sample standard deviation as an estimate.

Assuming the sample is large enough to assume normality, the formula becomes SE = [tex]\sqrt{(0.7*0.3)/30}[/tex]   = 0.0912. Therefore, the standard error for a sample size of 30 is 0.0912. This means that if we were to take multiple samples of size 30 from the same population, the standard deviation of the means of those samples would be around 0.0912 away from the population parameter of 0.7 on average.

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Let's assume that x servers were full-time and y servers were part-time. Then we can write two equations based on the given information:

x + y = 18 (since there were 18 servers in total)

21x + 15.5y = 312 (since the labor cost was $312 per hour)

To solve for x and y, we can use elimination or substitution. Here's one way to use elimination:

Multiply the first equation by 15.5 to get 15.5x + 15.5y = 279.

Subtract the first equation from the second equation to get 5.5x = 33.

Divide both sides by 5.5 to get x = 6.

Now we know that there were 6 full-time servers. We can substitute this value into either of the two equations to solve for y:

6 + y = 18

y = 12

Therefore, there were 6 full-time servers and 12 part-time servers at the banquet.

Memory, thinking, and learning are interconnected cognitive processes that are essential for academic success.

We have,

Memory, thinking, and learning are interconnected cognitive processes that are essential for academic success.

Research has shown that memory can be improved through techniques such as repetition, active recall, and mnemonic devices.

Critical thinking skills, such as analysis and evaluation, are important for understanding and retaining information.

Effective learning strategies include breaking down complex material into smaller, manageable parts and using visual aids to enhance understanding and retention.

Thus,

Developing these cognitive skills can help a student become a more efficient learner, retain information more effectively, and perform better academically.

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Answer:

153.94 square centimeters.

Step-by-step explanation:

To calculate the area of a circle when the circumference is given, you can use the formula:

Circumference = 2 * pi * r, where pi is approximately equal to 3.14 and r is the radius of the circle.

We can rearrange this formula to solve for the radius:

r = Circumference / (2 * pi)

Substituting the given value of circumference:

r = 44 cm / (2 * 3.14) = 7.006 cm (rounded to three decimal places)

Now that we have the radius, we can calculate the area of the circle using the formula:

Area = pi * r^2

Substituting the value of r:

Area = 3.14 * 7.006^2 = 153.94 cm^2 (rounded to two decimal places)

Therefore, the area of the circle is approximately 153.94 square centimeters.

Monique gave away a greater fraction of cake than Chris.

We can represent the fraction of cake Chris gave away as 3/8, and the fraction of cake Monique gave away as 4/8 (which can be simplified to 1/2)

3/8 ______ 1/2

In order to compare the fractions, we can convert them to have a common denominator. The smallest common multiple of 8 and 2 is 8, so we can write:

3/8 = 3/8

1/2 = 4/8

Now we can fill in the symbol to complete the comparison:

3/8 < 1/2

Therefore, Monique gave away a greater fraction of cake than Chris.

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The distance between the points (5, 8) and (-3, 4) is equal to 4√5 units.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(-3 - 5)² + (4 - 8)²]

Distance = √[(-8)² + (-4)²]

Distance = √[64 + 16]

Distance = √80

Distance = 4√5 units.

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Answer:

I think it's 3

Step-by-step explanation:

it's skipping 2 after every three

The missing step in this proof is option A. ∠ABC ≅ ∠DBE

In order to bring about the SAS similarity criterion, the angle between the proportional sides should be congruent in the two triangles. Thus, the said angle is the same angle (angle B) in both triangles, which is reason for citing the reflexive property. It showcases ∠B ≅ ∠B.

Therefore, the answer choice showcasing angle B is option A. ∠ABC ≅ ∠DBE

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The complete question goes thus:

what is the missing step in this proof GIVEN: ABC with AD/DB= CB/BB PROVE: DE||AC

1. AD:DB = CE:EB Given

2. AD:DB+1 = CE:EB+1 Addition Property of Equality

3. (AD+DB)/DB = (CE+EB)/EB Using common denominators

4. AB = AD+ DB and CB = CE +EB segment addition

5. AB:DB = CB:EB Substitution property of equality

6. [Fill in missing statement from choices below] Reflexive property of congruence

7. ΔABC ~ ΔDBE SAS similarity criterion

8. ∠BAC ≅ ∠BDE Corresponding angles of similar triangles are congruent.

9. DE||AC If the corresponding angles formed by two lines cut by a transversal are congruent, then the lines are parallel.

What is the missing step in this proof?

A. ∠ABC ≅ ∠DBE

B. ∠BCA ≅ ∠BDE

C. ∠ACB ≅ ∠DEB

D. ∠BDE ≅ ∠ADE

E. ∠CAB ≅ ∠DAC

Answer:

The correct answer is B.

When x increases, y increases, and when x decreases, y decreases.

Answer:

The next number in the sequence is -2.

Here's how to find it:

- Start with the first two numbers: 1 and 1.

- Add them together to get 2.

- The third number in the sequence is 2.

- Add the second and third numbers together to get 1.

- The fourth number in the sequence is 1.

- Subtract the third and fourth numbers to get -3.

- The fifth number in the sequence is -3.

- Add the fourth and fifth numbers to get -2.

- The sixth number in the sequence is -2.

- Subtract the fifth and sixth numbers to get -1.

- The seventh number in the sequence is -1.

- Add the sixth and seventh numbers to get -3.

- The eighth number in the sequence is -3.

- Subtract the seventh and eighth numbers to get 2.

- The ninth number in the sequence is 2.

- Add the eighth and ninth numbers to get -1.

- The tenth number in the sequence is -1.

- Subtract the ninth and tenth numbers to get -3.

- The eleventh number in the sequence is -3.

- Add the tenth and eleventh numbers to get -4.

- Therefore, the next number in the sequence is -4.

i Got u Bro! Answer:(3.5, 9.5)

:D

The equation can be y = 3x + 7, evaluating it in x = 16 we will get:

y = 55

We can write a linear equation, which is the simplest type of equations.

For example, let's define:

y = 3x + 7

Now the evaluation.

We want to find the value of y when x = 16. To do so, we need to evaluate the equation in x = 16, that means replacing the variable x by the number, then we will get.

y = 3*16 + 7

y = 55

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The directional derivative of f = x²yz³ along vector i + 2j + 2k at x = [tex]e^{-t}[/tex] , y = 1 + 2 sin t , z = t -cost at t =0 is 2/3.

Given that the functions are,

x = [tex]e^{-t}[/tex]

y = 1 + 2 sin t

z = t - cos t

At t = 0 the point will be,

x = e⁰ = 1

y = 1 + 2 sin 0 = 1

z = 0 - cos 0 = -1

So the point is (1, 1, -1).

The vector is,

a = i + 2j + 2k

unit vector of a = (i + 2j + 2k)/√(1² + 2² + 2²) = (i + 2j + 2k)/3

Given the function is, f = x²yz³

Grad. f = 2xyz³.i + x²z³.j + 3x²yz².k

directional derivative is given by

= (Grad. f)*(unit vector of a) at (1, 1, -1)

= (2xyz³.i + x²z³.j + 3x²yz².k)*(i + 2j + 2k)/3 at (1, 1, -1)

= (2xyz³ + 2x²z³ + 6x²yz²)/3 at (1, 1, -1)

= (-2 - 2 +6)/3

= 2/3

Hence required directional derivative is 2/3.

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The question is incomplete. The complete question will be -

"The directional derivative of f= x^2 y z^3 along vector i + 2j + 2k at x = e^-t , y = 1 + 2 sin t , z = t -cost at t =0"

Answer:

No

Step-by-step explanation:

No, y = 2x^3 + 5 is not a linear function. A linear function is a function that can be written in the form y = mx + b, where m and b are constants and x is the independent variable.

In the function y = 2x^3 + 5, we have a cubic term (x^3), which means that the function is not linear. The graph of a cubic function will have a curved shape, unlike a linear function, which will always be a straight line.

We can write the quadratic in standard form as:

y = x² -18x - 1053

For a quadratic equation whose solutions are:

x = x₁

x = x₂

We can write it as:

y = (x - x₁)*(x - x₂)

Here the solutions are:

x = 9 + 9√13

x = 9 - 9√13

Then we can write the quadratic as:

y = (x - 9 - 9√13)*(x - 9 + 9√13)

Expanding that:

y = x² -18x - 81*13

y = x² -18x - 1053

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Answer:

7 cm is equal to 0.07 m.

To convert centimeters to meters, you need to divide the number of centimeters by 100, since there are 100 centimeters in a meter.

So, 7 cm / 100 = 0.07 m.

The probability that a statistics teachers do not know the true meaning of life is 46.8%

From the question, we have the following parameters that can be used in our computation:

53.2% of Americans say they believe that statistics teachers know the true meaning of life.

This means that

P(Believe) = 53.2%

For the required probability, we have

P(Not believe) = 1 - P(Believe)

So, we have

P(Not believe) = 1 - 53.2%

Evaluate

P(Not believe) = 46.8%

Hence, the probability that a statistics teachers do not know the true meaning of life is 46.8%

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