what function creates a scatterplot and then adds a small amount of random noise to each point in the plot to make the points easier to find? 1 point the geom bar() function the geom smooth() function the geom point() function the geom jitter() function

Answer:

X will be equal to 36 degrees.

Step-by-step explanation:

A full angle of a pentagon is 108 degrees. A line connecting from a base corner to on the opposite side splits the pentagon into a rhombus and a triangle. In the triangle, two corners will be the same side, while the largest corner will be 108 degrees.

180-108 = 72

72 / 2 = 36

Therefore, x is equal to 36 degrees.

Hopefully this helps :)

Answer:

20 dollar tip (rounded) assuming the bill is 68.37

Step-by-step explanation:

just multiply 68.37 by 0.25, and you get 17.09 or 20 dollars rounded to TENS place.

Answer:

183$

Step-by-step explanation:

.........................

The unit of measurement used is A. Standard deviation is the unit of measurement used to describe how far a set of values are from the mean.

The degree of variation of data from the average, or mean, is gauged by the standard deviation. It provides us with information on the average amount by which each data point diverges from the mean.

A lesser standard deviation suggests that the data points gather closely around the mean, whereas a greater standard deviation signifies that the data points are further dispersed. To standardize a value, we subtract the mean from the value and then divide by the standard deviation.

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Answer:

Step-by-step explanation:

A quadrangle LMNP is inscribed in circle which means:

m∠L + m∠N = m∠P + m∠M = 180°

m∠P + m∠M = 180°

57° + m∠M = 180°

  m∠M = 123°

m∠L + m∠N = 180°       and    m∠L + m∠N

m∠L + m∠L = 180°  

2×m∠L = 180°

m∠L = 90°

m∠N = m∠L = 90°

Answer:

Step-by-step explanation:

for 182 miles you need 14 gallons

???????                            8 gallons

8/14=x/182

x=182*8/14

x miles=104 miles

Answer:

The image A'(4, 6) is the result of dilation of the original point A(2, 3) by a scale factor 2 with a center at the origin.

Therefore, we conclude that If A (2, 3) maps to A' (4, 6) under a certain enlargement:

Step-by-step explanation:

We know that when any object is dilated by a certain scale factor, it gets reduced or enlarged. The reduction or enlargement depends upon the scale factor.

If the scale factor > 1, the image is an enlargement.

If the scale factor < 1, the image is reduced.

For example, if a point P(x, y) is dilated by a scale factor of 2 with a center at the origin, the image P' will have the coordinates (2x, 2y).

As scale factor 2 > 1, so the image P' is enlarged.

Given the point

A(2, 3)

Rule of dilation by a scale factor 2 with a center at the origin

P(x, y) → P'(2x, 2y)

A(2, 3) → A'(2(2), 2(3)) = A'(4, 6)

It is clear that image A' has the coordinates (4, 6). i.e. A'(4, 6).

In other words, the image A'(4, 6) is the result of dilation of the original point A(2, 3) by a scale factor 2 with a center at the origin.

Therefore, we conclude that If A (2, 3) maps to A' (4, 6) under a certain enlargement:

Answer:

slipknot is the answer to all your problems

Step-by-step explanation:

Answer:

x= 4

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

4.025 acres

Step-by-step explanation:

16.1*0.25 which is 4.025

Hope this helps plz hit the crown :D

Answer:15.28

Step-by-step explanation:.25 of 61.1 is 15.28

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

A litter of pupples had 2 white pupples and 3 brown pupples. What percent of white pupples are in the litter? Round to the nearest whole number.?

답변:(C) 40%

While we have arguments supporting the notion that Christians have a duty to make society more just based on their religious teachings and values, there are also counterarguments suggesting that this duty should be seen as a shared responsibility for all individuals.

One argument for Christians having a duty to make society more just is rooted in the teachings and values of Christianity itself. Many Christian beliefs emphasize the importance of justice, fairness, and compassion towards others.

On the other hand, some may argue against the idea that Christians have a specific duty to make society more just. They might contend that Christians like individuals of any other religious or non-religious background have a general ethical responsibility to promote justice and fairness.

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Answer:

GCF = 2

Step-by-step explanation:

6n - 8

consider factors of 6 and 8

factors of 6 are 1, 2, 3, 6

factors of 8 are 1, 2, 4, 8

the GCF is 2

\

Answer: 2 is correct

Step-by-step explanation:

Answer:

26.25 = x

Step-by-step explanation:

f ( x ) = 4x - 5

f  ( x ) = Y-value

x = x - value

If f ( 100 ) = The Y is 100

100 = 4x - 5

+5   =      +5                    Add 5 on both sides. The 5's will cancel on the right

-------------------

105 = 4x                 Divide by 4 on both sides. The 4's will cancel on the right

----- =  ----

4     =  4

26.25 = x

Hope this helps!!

Answer: The resultant speed of the boat is 8.12 mph.

Step-by-step explanation:

The sine components of the velocity of the boat will balance out the velocity of the river making an angle of 37° with the vertical.

Every vector can be broken into some components, these components on vector addition would again give the resultant vector.

The components of the vector act independently.

here, we have,

Given:

Velocity of the boat in still water = 20km/h

Velocity of the river stream= 12km/h

We want the boat to go directly opposite to the starting point without any drift. For this one component of the boat's speed should be acting parallel to the speed of the stream and cancelling its effect in the motion of the boat.

Therefore preventing the drift of the boat now with the other perpendicular speed vector component the boat will cross the river.

Assumption:

The boat goes at an angle p with the vertical or perpendicular to the river stream.

v is the resultant speed of the boat

u is the velocity of the stream

According to the question:

v × sin(p) = u

Sin(p) = 0.6

p = 37°

Therefore, The sine components of the velocity of the boat will balance out the velocity of the river making an angle of 37° with the vertical.

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complete question:

A boat`s speed in still water is 20 km/h . If the boat is to travel directly across a river whose current has a speed of 12 km/h, at what upstream angle must the boat head ?

The polynomial expression in standard form is -13x^(4)+5x.

A polynomial is an expression consisting of variables (or indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

The polynomial expression in standard form is -13x^(4)+6x-x. To write a polynomial expression in standard form, we need to rearrange the terms in descending order of their degree (exponent). We also need to combine any like terms.

First, we can rearrange the terms in descending order of their degree:
-8x^(4)-5x^(4)+6x-x

Next, we can combine the like terms:
-13x^(4)+6x-x

Finally, we can simplify the expression:
-13x^(4)+5x

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With the given budget, the inequality that must be used is:

$5.5*s ≤ $350

We know that the budget is $500.

Then, we know that there is a fixed cost of $150, then the budget left is:

$500 - $150 = $350

With these $350 they pay the food for the students, which costs $5.50 per student.

So the number of students that can go must be such that:

s*$5.50 ≤ $350

There says that the cost in food for the s students must be smaller than or equal to the remaining $350.

So the correct option is the second one.

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Answer:

6(3√3-2)

Step-by-step explanation:

(√8/3 - √24 + √50/3) . √6

(√8/3 - 2√6 + 25√2/3) . √6

(2√2/3 - 2√6 + 25√2/3) . √6

(27√2/3 - 2√6) . √6

(27√12/3 - 12)

9√12-12

√12(9-√12)

2√3(9-2√3)

6(3√3-2)

Answer:

Step-by-step explanation:

\(( \sqrt{8/3} - \sqrt{24} + \sqrt{50/3} )* \sqrt{6} =\\\sqrt{48/3} - \sqrt{144} + \sqrt{300/3} =\\\sqrt{16} - 12 + \sqrt{100} =\\4 - 12 + 10 =\\2\)

Answer:

260 IS RIGHT

Step-by-step explanation:

Using the exponential growth formulas, we get the population at 10 years would be 2593.

What is exponential growth?

A process called exponential growth sees a rise in quantity over time. It happens when the derivative of a quantity's instantaneous rate of change with respect to time is equal to the original quantity.

Given Initial population is Pt= 1725.

The doubling time of the population is D=17

Now we need to find the population at time t=10

Using the formula,

\(P_{t}=P_{0} (2)^{\frac{t}{D} } \\P_{t}=1725 (2)^{\frac{10}{17} } \\P_{t}=1725 (2)^{0.588}\\P_{t}=1725 \space\ . \space\ 1.503\\P_{t}=2593\)

Hence the population of the island in 10  years would be 2593.

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As time increases without bound, the concentration of sugar in the tank increases infinitely.

The limit of C(t) as time t increases without bound is given as lim C(t) = t^18.

As t increases without bound, the concentration of sugar in the tank approaches infinity. This means that the concentration of sugar keeps increasing without any upper bound or limit. The value t^18 grows exponentially as t increases, indicating that the concentration of sugar in the tank becomes increasingly larger over time.

In summary, as time increases without bound, the concentration of sugar in the tank increases infinitely.

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Answer:

Let the number be X

42 + 2x/4 =2X

cross multiply

42+2X=8x

42=8X-2x

42=6X

6X=42

X=7

Step-by-step explanation:

I'm just a smart guy

The marginal propensity to consume (MPC) for Australia in 2021, when total income (Y) is 10, is 0.3.

The consumption function for Australia in 2021 is given as C = 0.0052 + 0.3Y + 20, where C represents the total consumption and Y represents the total income. To calculate the MPC, we need to determine how much of an increase in income is consumed rather than saved. In this case, when Y = 10, we substitute the value into the consumption function:

C = 0.0052 + 0.3(10) + 20

C = 0.0052 + 3 + 20

C = 23.0052

Next, we calculate the consumption when income increases by a small amount, let's say ΔY. So, when Y increases to Y + ΔY, the consumption function becomes:

C' = 0.0052 + 0.3(Y + ΔY) + 20

C' = 0.0052 + 0.3Y + 0.3ΔY + 20

To find the MPC, we subtract the initial consumption (C) from the new consumption (C') and divide it by the change in income (ΔY):

MPC = (C' - C) / ΔY

MPC = (0.0052 + 0.3Y + 0.3ΔY + 20 - 23.0052) / ΔY

Simplifying the equation, we can cancel out the terms that don't involve ΔY:

MPC = (0.3ΔY) / ΔY

MPC = 0.3

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We can say that after answering the offered question As a result, the equation for the circle with centre (7, -7) and point (11, -3) i\((x - 7)2 + (y + 7)2 = 32.\)

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.

Determine the radius:

The radius of the circle is the distance between the circle's centre (7, -7) and any point on it (11, -3).

We may calculate the distance using the distance formula:

\(r = \sqrt((11 - 7)^2 + (-3 - (-7))\\v^2)\\r = \sqrt(4^2 + 4^2)\\r = \sqrt(32) (32)\)

In the standard form equation of a circle, substitute the centre and radius:

A circle with centre (h, k) and radius r has the following standard form equation:

\((x - h)^2 + (y - k)^2 = r^2\)

With h = 7, k = -7, and r = sqrt(32), we get:

\((x - 7)^2 + (y + 7)^2 = 32\)

As a result, the equation for the circle with centre (7, -7) and point (11, -3) is\((x - 7)2 + (y + 7)2 = 32.\)

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Ignatius of Loyola, the Spanish priest and theologian who founded the Society of Jesus (Jesuits) in the 16th century, focused on several key issues during the period of the Counter-Reformation.

These issues can be broadly categorized into spiritual, educational, and institutional reforms.

Spiritual Reforms: Ignatius emphasized the importance of personal piety and spiritual discipline. He promoted the practice of spiritual exercises, including meditation, prayer, and self-examination, to cultivate a deep and intimate relationship with God. Ignatius encouraged individuals to reflect on their sins and seek forgiveness through confession and penance.

Educational Reforms: Ignatius recognized the power of education in shaping individuals and society. He established schools and universities to provide a comprehensive education that combined intellectual rigor with spiritual formation. The Jesuits placed great emphasis on academic excellence, encouraging critical thinking, the pursuit of knowledge, and the integration of faith and reason.

Pastoral Reforms: Ignatius focused on improving the quality of pastoral care and religious instruction. He trained his followers to be skilled preachers and spiritual directors, equipping them to guide and support individuals in their spiritual journey. Ignatius also emphasized the importance of catechesis, ensuring that people received proper religious education and understood the teachings of the Catholic Church.

Missionary Work: Ignatius and the Jesuits had a strong missionary zeal. They undertook extensive missionary endeavors, particularly in newly discovered territories during the Age of Exploration. They sought to bring Christianity to non-Christian lands and convert indigenous populations to Catholicism. The Jesuits established missions, schools, and hospitals in various parts of the world, playing a significant role in spreading Catholicism.

Overall, Ignatius of Loyola's reforms aimed to strengthen and revitalize the Catholic Church in response to the challenges posed by the Protestant Reformation. His focus on personal spirituality, education, pastoral care, and missionary work contributed to the renewal and expansion of the Catholic Church during the Counter-Reformation.

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Answer:

The

numerator is 360

Step-by-step explanation:

What we need to do here is make n the subject of the formula;

a = 180(n-2)/n

an = 180n-360

180n - an = 360

n(180-a) = 360

n = 360/(180-a)

Answer:

y=(3/4)x+6

Step-by-step explanation:

Point 1 (-4,3)

Point 2 (0,6)

To obtain the slope, we apply the formula:

m= (6-3) / (0- (-4))

m= 3 / 4

We replace in the equation y=mx+b.

We take any point.

=> (0,6)

y=mx+b

6=(3/4)(0)+b

b=6

Joining all the terms:

y=(3/4)x+6