Points A, B, and C are collinear. Point B is between A and C. Solve for x
Find AC if BC=11x-1, AC=21x, and AB=11.

In one sweep, the area covered by the sprinkler is 77.19 sq ft (approx). The area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

We know that a rotating sprinkler can reach up to 14 feet through a 300-degree angle. Area covered by the sprinkler in one sweep = area of the sector whose radius = 14 feet and angle = 300°Area of sector = (θ / 360) × πr²Where θ = 300°, r = 14 ftArea of sector = (300/360)× π(14)²= 77.19 sq ft (approx) Therefore, the area covered by the sprinkler in one sweep is 77.19 sq ft (approx).

We need to find the total area of the lawn that receives water from this sprinkler. The sprinkler rotates 360 degrees, so it will cover a full circle whose radius is 14 feet. Area of a circle = πr²= π(14)²= 615.752 sq ft (approx) Therefore, the area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

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The height of the PEMEX tower is  287.6 meters if She walks towards the tower 500m and finds that the angle is 60 degrees.

The angle of elevation = 30 degrees

Walking distance = 500m

The angle of elevation after walking  = 60 degrees

When Pamela is  500 meters away from the tower, the tangent of the angle of elevation is calculated as:

tan(30°) = h / 500

h = 500 * tan(30°)

h = 500 * 0.5774

h = 288.7 meters

After walking 500m,

tan(60°) = h / d

h = d * tan(60°) ---------equation 1

The new distance between her and the tower is:

d = 500 - x

Using the tangent function with an angle of 60 degrees, the equation can be written as:

h = (500 - x) * tan(60°)

500 * tan(30°) = (500 - x) * tan(60°)

288.7 = (500 - x) * 1.732

166.5 = 500 - x

x = 333.5 meters

Substituting this value of x  in equation 1:

h = (500 - 333.5) * tan(60°)

h = 166.5 * 1.732

h = 287.6 meters

Therefore, we can conclude that the height of the tower is 287.6 meters.

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The complete question is-

Pamela wants to calculate the height of a PEMEX tower. She observes that the angle of elevation to the top of the tower is 30 degrees. She walks towards the tower 500m and finds that the angle is now 60 degrees.

Answer:

Step-by-step explanation:

Answer:

you would times length times width

Answer:

I believe the answerr is 16

Step-by-step explanation:

to find the area of a triangle you multiply the height by the base then divide by 2

so it would be 8 × 4 then divide your answer by 2 and get 16.

Answer:

0.66666667

Step-by-step explanation:

Answer:

3 will divide 2 but since 3cannot get into 2, there will be 0. and 0 would be added to the 2 to make it 20

then 3 gets into 20 six times remainder 2 but still continues.

however, since 6 is greater than 5, it can be round down to get 0.67/0.667

Answer:

XP = 11

Step-by-step explanation:

Given that XZ = 7x + 1 and PZ = 4x − 1

From the diagram, XZ = 2PZ

7x + 1 = 2(4x-1)

7x+1 = 8x - 2

7x - 8x = -2 -1

-x = -3

x = 3

Since XP = PZ

XP = 4x - 1

XP = 4(3) - 1

XP = 12-1

XP = 11

Answer:

23 + 11 = 34

Bobby descended 34 meters

Answer:

23 is an integer

another 11 is an integer

23+11 = 34

total depth descended is 34.

Answer:

It takes about 30 minutes to kayak 1 mile on flat calm water.

Step-by-step explanation:

The required simplified solution of the given expression is 16c/[25 - c²].

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Given expression,
= 8 / 5 - c - 8 / 5 + c
= 8 [5  + c - 5 + c] / [5² - c²]
= 8 / [25 - c²] × 2c
16c/[25 - c²]

Thus, the required simplified solution of the given expression is 16c/[25 - c²].

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The area of a regular hexagon inscribed in a circle is equal to two-thirds of the area of the circle.  \($324\pi\div 2\div 3\)= \(108\pi$  $108\pi \approx 339.292$\) square units  The answer in simplest radical form is\($\sqrt{339.292}$\)  square units.  

it is important to first understand the concept of a regular hexagon inscribed in a circle. A regular hexagon inscribed in a circle is a six-sided polygon whose interior angles are all equal and whose sides are all of equal lengths. This means that the hexagon will have six equal-length sides and six equal-sized angles.

The area of such a hexagon is equal to two-thirds of the area of the circle in which it is inscribed.   In this problem, the area of the circle is given as \($324\pi$\) square units. To determine the area of the regular hexagon inscribed in the circle, the area of the circle needs to be divided by two and then by three.

This yields a result of \($108\pi$\) square units, which is approximately equal to 339.292 square units. This result can be written in the simplest radical form as \($\sqrt{339.292}$\) square units, which is the answer to the problem.

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The answer is $3971. There are 209 members and each one gets one of each item. Add the costs of one of each item to get $19 per person. Then multiply $19 by 209 people and you get $3971 for everyone.

It is $17 for each person. ($10 + $3 + $2 + $2 = $17) So you do 17 x 209 = $3,553. So the answer is $3,553 dollars to pay for everyone.

Answer:

-7(9) < -56

Step-by-step explanation:

-7(9) is -63 which is less than -56 so anything above that is less than 56-

Answer:

x=8

Step-by-step explanation:

Hope,it helps it wasn’t that easy (:

The standard deviation of the data set will increase by a factor of 10. This is because standard deviation measures how much variation or dispersion exists from the mean of a data set. Adding 10 to every value of the data set will increase the overall spread of the data and thus increase the standard deviation.  

To prove this mathematically, let's consider a data set A with mean M and standard deviation SD. Let's add 10 to every value of the data set to get a new data set B. The mean of set B is M+10 and the standard deviation of set B is SD'.   The formula for SD' is:  

SD':\(\sqrt{(x_{1} -(M+10))^{2} +(x_{2} -(M+10))^2+ (x_{3}-(M+10))^2 +...+ (x_{n}-(M+10))^2)/n }\) We can simplify this by substituting the values for the xi:

 SD' =\(\sqrt{(((x_{1}-M-10)^2 + (x_{2}-M-10)^2 + (x_{3}-M-10)^2 +...+ (x_{n}-M-10)^2)/n) }\)  Now let's consider the original data set A and its standard deviation SD:

 SD =\(\sqrt{(((x_{1}-M)^2 + (x_{2}-M)^2 + (x_{3}-M)^2 +...+ (x_{n}-M)^2)/n) }\) ,We can substitute the values for xi in this formula as well:  

SD= \(\sqrt{ (((x_{1}-M-10)^2 + (x_{2}-M-10)^2 + (x_{3}-M-10)^2 +...+ (x_{n}-M-10)^2)/n)}\)  If we compare SD and SD', we can see that they are identical, except that the value of M has been replaced with M+10. This means that when we add 10 to every value of the data set, the standard deviation increases by a factor of 10.

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The percentage of people who filed their taxes during the week of tax day is 10%

I can estimate how many people filed their taxes during the week of April 15th using a percentage of 100 is a/b * 100.

A percentage is a portion of a sum divided into 100 equal parts.

Calculate (Number of persons who submitted their taxes during the week of April 15th / total people who filed their taxes that year) times 100 to get the percentage of people who filed during that week.

Let :

a represents the total number of taxpayers during the week of April 15th.

b represents the total number of taxpayers for that year.

The original equation is reduced to

a/b× 100

As an illustration, 100 individuals submitted their taxes the week of April 15th and

Let's say that year, 1000 persons filed their taxes.

= 100/1000 = 10%

Thus, 10% of Americans submitted their taxes during the week of April 15th, or 100 out of 1,000.

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Student A and Student B might debate the importance of understanding the derivation of these parameters, as it can deepen their comprehension of the underlying mechanics of simple linear regression and improve their ability to interpret results.

The term "sxy" usually refers to the sample covariance between two variables x and y, which is a key component in calculating the parameters of a simple linear regression model.

In simple linear regression, we try to find the best-fitting straight line that can predict the relationship between two variables. The equation of the line is typically represented as y = mx + b, where m is the slope and b is the intercept. In the context of simple linear regression, these parameters are often denoted as β0 (intercept) and β1 (slope).

The term "sxy" refers to the covariance between the two variables x and y. It measures how the two variables change together. The slope parameter (β1) in a simple linear regression can be derived using the formula:

β1 = sxy / sxx

where sxx is the variance of the variable x. Once β1 is found, the intercept (β0) can be calculated as:

β0 = y - β1 * x

In a lively discussion, Student A and Student B might debate the importance of understanding the derivation of these parameters, as it can deepen their comprehension of the underlying mechanics of simple linear regression and improve their ability to interpret results.

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If two polygons are similar, then they have the same shape but not necessarily the same size.

They can be either enlarged or reduced in size or reflected. Hence, even though the polygons are similar, they do not have to be drawn to scale.

The term scale refers to the ratio of any two corresponding lengths in two geometric figures, so if two figures are drawn to scale, the ratio of their corresponding lengths in the drawing is the same as the ratio of their corresponding lengths in the actual figures.

Therefore, if two polygons are similar but not drawn to scale, the drawing may not be an accurate representation of the actual figures, as the scaling information may not be consistent.

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Answer:

D. 7.62 centimeters

Step-by-step explanation:

381 / 50 = 7.62

The real building is in meters, however Micah's model is 1 centimeter to 50 meters, therefore his model height is in centimeters.

I would appreciate Brainliest, but no worries.

The missing reasons are

1. Corresponding Angle

2. Alternate Exterior Angle

We know, if a line intersects two parallel lines, the corresponding interior angles on the same side of the transversal will be congruent (equal).

1. Since CL || EK

Then, by the property of parallel line

<BFJ = <ADF (Corresponding Angle)

2. Since CL || EK

Then, by the property of parallel line

<EBH= <LDM (Alternate Exterior Angle)

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Graphs allow us to show that the following is true: D. Both plans will be costing the same when 50 texts are sent is accurate.

The graph is just a organised representation of the data. It helps in our understanding of the data. The numerical information gathered through observation is referred to as data.

The answer is that both plans are same in price when 50 texts are sent because both lines intersect at a cost of $22.5 for 50 texts, indicating that they are equal in price.

The other options are not right:

A-plan Hiroto's costs more than Emilia's plan when more than 50 messages are sent. This is untrue, as you can see from the graph that Emilia's line is higher after 50 texts, indicating that her plan is more expensive.

B-When 22 messages are sent, the cost of both plans is the same. This is false because when 22 texts are sent, the lines do not cross at the same spot.

C-When more than 22 SMS are sent, Emilia's is more expensive than Hiroto's plan. This is untrue because Hiroto's plan is more expensive until they send 50 messages, which is the only time they cost the same. At that moment, Emilia's plan costs about $15.5 and Hiroto's plan costs about $21.

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The complete question is:

Hiroto's texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia's plan costs  $10 per month and $0.25 per text. Using the graph below,  which statement is true?

A. Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.

B. Both plans cost the same when 22 texts are sent.

C. Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.

D. Both plans cost the same when 50 texts are sent.

A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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A scale drawing of an NFL goal post uses a scale of 2 inches equal 5 feet if the actual width of the goal posts is 18 1/2 feet what is the width of the goal post on the drawing.

If 3 inches on the scale drawing represents 5 feet in actuality, determine the actual area of a kitchen if the area of the scale drawing is 45 inches 3 inches to 5 feet is 1:20

From the question asked you cannot determine the area. (No width given) You state the measurement is 45 inches (not square inches) 45 inches at 20:1 = 900 inches or 75 feet (linear)

Hence the answer is 75 ft.

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Answer:

75 ft

Step-by-step explanation:

The Surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.

A hemisphere is half of a sphere. Thus, the volume of a hemisphere is given as: V = = (2/3)πr³, where r is the radius of the hemisphere.

Surface area of a hemisphere is given as, SA = 2πr²

Given the following:

Volume of hemisphere = 30 cm³

i. Radius (r) of the container = radius of the hemisphere

2πr² = 30

r² = 30/2π

r² = 4.8

r ≈ 2.2 cm

ii. Surface area of the container that is in contact with the lip balm = surface area of hemisphere = 2πr²

Surface area = 2(3.14)(2.2²)

Surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.

In summary:

i. The radius of the container is 2.2 cm

ii. The surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.

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Answer:

D

Step-by-step explanation:

Just trust me

Answer:

It's A,E,F,H

Step-by-step explanation:

Got it right on test

The median is 120, The lower quartile is 112 and The upper quartile is 140

and  interquartile range is 28.

The difference between the third and first quartiles is referred to as the interquartile range. Quartiles are the parceled values that partition the entire series into 4 equivalent parts. There are then three quartiles. The lower quartile is represented by Q1, the second quartile is represented by Q2, and the third quartile is represented by Q3, which is the upper quartile. As a result, the difference between the upper and lower quartiles constitutes the interquartile range.

Given data

115, 120, 118, 104, 109, 148, 135, 141, 139

arrange series in ascending order,

104, 109, 115, 118, 120, 135, 139, 141, 148

the middle term of series is 120

median = 120

for lower Quartile Q₁ = (109 + 115)/2 = 112

for upper Quartile Q₃ = (139 + 141)/2 = 140

interquartile range = Q₃ - Q₁  = 140 - 112 = 28

Hence the median = 120,  lower quartile = 112,  upper quartile = 140 and

interquartile range = 28.

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Answer:

y = 2x + 10

Step-by-step explanation:

What we know:

10 dollar entrance fee

2 dollars PER ride

"per" is an important word since it tells us that the x will be there.

That means that, if its a 10 dollar entrance fee and 2 dollars per ride, it will be 2x + 10.

\(y=2x+10\)

To obtain the series expansion for the derivative of f, we need to differentiate each term of the given series expansion of f term-by-term.

Given that f(x) = Σ (-1)^n(4^(2n+1))/((2n+1)!), we can differentiate each term of the series expansion to obtain the corresponding series expansion for the derivative of f.
f'(x) = d/dx(Σ (-1)^n(4^(2n+1))/((2n+1)!))
     = Σ d/dx((-1)^n(4^(2n+1))/((2n+1)!))
     = Σ (-1)^n d/dx((4^(2n+1))/((2n+1)!))
     = Σ (-1)^n (4^(2n))(d/dx(x^(2n)))/((2n+1)!)
     = Σ (-1)^n (4^(2n))(2n)(x^(2n-1))/((2n+1)!)

To differentiate the given series expansion of f term-by-term, we need to use the formula for the derivative of a power series. The formula is:
d/dx(Σ c_n(x-a)^n) = Σ n*c_n*(x-a)^(n-1)
where c_n is the nth coefficient of the power series and a is the center of the series.
Using this formula, we can differentiate each term of the series expansion of f as follows:
d/dx((-1)^n(4^(2n+1))/((2n+1)!)) = (-1)^n*d/dx((4^(2n+1))/((2n+1)!))
                                   = (-1)^n*(2n+1)*(4^(2n))(d/dx(x^(2n)))/((2n+1)!)
                                   = (-1)^n*(4^(2n))(2n)*(x^(2n-1))/((2n+1)!)
Therefore, the series expansion for the derivative of f is Σ (-1)^n (4^(2n))(2n)(x^(2n-1))/((2n+1)!).

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Using differentiation and area of a rectangle, the dimensions of the poster with the smallest height are 24 cm x 216 cm.

Let x = width of printed material

Total width = printed material width + left margin + right margin

Total width = x + 8 + 8 = x + 16 cm

Total height = printed material height + top margin + bottom margin

Total height = 1536/x + 12 + 12 = 1536/x + 24 cm

The total area of the poster is the product of the width and height:

Total area = Total width * Total height

1536 = (x + 16) * (1536/x + 24)

To find the dimensions of the poster with the smallest height, we can find the minimum value of the total height. To do this, we can differentiate the equation with respect to x and set it to zero:

d(Total height)/dx = 0

Differentiating the equation and simplifying, we get:

1536/x² - 24 = 0

Rearranging the equation, we have:

1536/x² = 24

Solving for x, we find:

x² = 1536/24

x² = 64

x = 8 cm

Substituting this value back into the equations for total width and total height, we can find the dimensions of the poster:

Total width = x + 16 = 8 + 16 = 24 cm

Total height = 1536/x + 24 = 1536/8 + 24 = 192 + 24 = 216 cm

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