What is the surface area of the cylinder with height 5 cm and radius 7 cm? Round your answer to the nearest thousandth.

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer:

you should download AIR MATH

Answer:

It would be 900

Step-by-step explanation:

I hope this helps!

Answer:

The answer is 900(D).......

Answer:

Abrasion

Step-by-step explanation:

Abrasion is the process of scraping or wearing away something. If weathering has worn away the letters, it has been abrasion weathering.      

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer:

1) choice B, they are equal in length

2) choice A, theyre equal in length

3) Choice D, (-3,0) (-3, -3) (-1, -3)

4) Choice A, Clockwise 90- degree rotation

Step-by-step explanation:

The statements which describe A'B' is:

A'B' and AB are equal in length ⇒ (B)

Step-by-step explanation:

Let us take about reflication:

⇒ Reflections are mirror images, means the shape or the size of

  the figure does not affect by reflection, think of "folding" the

  graph over the y-axis or the x-axis

⇒ On a grid, you used the formula (x, y) → (-x, y) for a reflection in

   the y-axis and used the formula (x, y) → (x, -y) for a reflection in

   the x-axis.

In our question segment AB, where A = (1, 3) and B = (5, 3) is

reflected about the y-axis

By using the rule above

∴ A' =(-1, 3)

∴ B' = (-5,3)

∵ Reflection does not change the shape or the size of the original figure

∴ Line segment A'B' has the same length of line segment AB

The correct answer is:

A'B' and AB are equal in length

You can check your answer by finding the lengths of AB and A'B'

∵ The length of AB = 5 - 1 = 4 units

∵ The length of A'B' = -1 - (-5) = -1 + 5 = 4 units

∴ AB = A'B'

Note:

If the y-coordinates of two points are equal, then the line joining them is horizontal and its length is the difference between the x-coordinates of the two points.

Answer:

\((250*50-102)+152[\tex]

The correct mean of the 50 observations is 249.96.

To find the correct mean, we need to adjust the value that was wrongly copied. The difference between 152 and 102 is 50, so the corrected total of the 50 observations would be:

Corrected total = (original total - 102) + 152

= \((250*50-102)+152\)

= \(12498\)

Therefore, the correct mean of the 50 observations is:

Correct mean = Corrected total / Number of observations

= \(12498 / 50\)

= 249.96

Hence, the correct mean of the 50 observations is 249.96.

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Answer:.

Step-by-step explanation:

The approximate percentage of 1-mile long roadways with potholes numbering between 41 and 61, using the empirical rule, is 81.5%.

The empirical rule, also known as the 68-95-99.7 rule, states that for a bell-shaped distribution (normal distribution), approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

In this case, the mean of the distribution is 49, and the standard deviation is 4. To find the percentage of 1-mile long roadways with potholes numbering between 41 and 61, we need to calculate the percentage of data within one standard deviation of the mean.

Since the range from 41 to 61 is within one standard deviation of the mean (49 ± 4), we can apply the empirical rule to estimate the percentage. According to the rule, approximately 68% of the data falls within this range.

Therefore, the approximate percentage of 1-mile long roadways with potholes numbering between 41 and 61 is 68%.

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Complete Question:

online homework manager Course Messages Forums Calendar Gradebook Home > MAT120 43550 Spring2022 > Assessment Homework Week 7 Score: 14/32 11/16 answered X Question 6 < > Score on last try: 0 of 2 pts. See Details for more. > Next question Get a similar question You can retry this question below The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell- shaped distribution. This distribution has a mean of 49 and a standard deviation of 4. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 41 and 61? Do not enter the percent symbol. ans = 81.5 % Question Help: Post to forum Calculator Submit Question ! % & 5 B tab caps Hock A N 2 W S X #3 E D C $ 54 R T G 6 Y H 7 00 * 8 J K 1

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Answer:

WPB

Step-by-step explanation:

Because it's larger than 90 degrees. And none of the other angles are obtuse.

Answer:

the answer is WPB!!!!!!

The statements about the local maximums and minimums for the given function which are true include:

This is defined as the mathematical entities which assign unique outputs to given inputs and defines a relationship between the two variables.

According the the graph: over the interval [2, 4], the local minimum is –8 because the given minimum point is (3.4, -8) and over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0 and over the interval [3, 5], there is no maximum point hence why it is false.

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Answer: f(120°) = (√3) + 1/2

Step-by-step explanation:

i will solve it with notable relations, because using a calculator is cutting steps.

f(120°) = 2*sin(120°) + cos(120°)

           =2*sin(90° + 30°) + cos(90° + 30°)

here we can use the relations

cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)

sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)

then we have

f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) +  cos(90°)*cos(30°) - sin(90°)*sin(30°)

and

cos(90°) = 0

sin(90°) = 1

cos(30°) = (√3)/2

sin(30°) = 1/2

We replace those values in the equation and get:

f(120°) = 2*( 0 +  (√3)/2) + 0 +  1/2 = (√3) + 1/2

The length of the sides of ΔABC are; AB = 2√5, BC = √13, and AC = √17

The length of the sides of ΔDEF are; DE = 2√5, EF = √13, and DF = √17

By the SSS Congruence Theorem, ΔABC ≅ ΔDEF

We are given the coordinates of Triangles ABC and DEF as;

A(5, 3), B(7, 7), C(9, 4)

D(-8, 6), E(-12, 8), F(-9, 10)

The formula for distance between two coordinates is;

Distance = √[(y₂ - y₁)² + (x₂ - x₁)²]

Thus;

AB = √[(7 - 3)² + (7 - 5)²]

AB = √20

AB = 2√5

Similarly;

BC = √[(4 - 7)² + (9 - 7)²]

BC = √13

AC = √[(4 - 3)² + (9 - 5)²]

AC = √17

Likewise;

DE = √[(8 - 6)² + (-12 + 8)²]

DE = √20

DE = 2√5

Similarly;

EF = √[(10 - 8)² + (-9 + 12)²]

EF = √13

DF = √[(10 - 6)² + (-9 + 8)²]

DF = √17

Since the corresponding sides of the two triangles are equal and as such they can be said to congruent by SSS Congruency.

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The type of quadrilateral PQRS is a trapezium. A trapezium is a quadrilateral with one pair of parallel sides. In this case, the parallel sides are PQ and SR.

To find the value of x, we can use the distance formula. The distance formula states that the distance between two points is equal to the square root of the difference of their x-coordinates squared plus the difference of their y-coordinates squared.

In this case, we have the following:

PQ = √((x - 10)² + ((-9) - 3)²

We are given that PS = 15 units, so we can set the above equation equal to 15 and solve for x.

15 = √((x - 10)² + ((-9) - 3)²)

225 = (x - 10)² + 144

225 = x² - 20x + 100 + 144

(x - 15)(x - 5) = 0

Therefore, x = 15 or x = 5.

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Answer:

B  is the answer

Step-by-step explanation:

Answer:

14.56 is your answer

Step-by-step explanation:

a^2+b^2=C^2

4^2+14^2=C^2

16+196=C^2

C^2=212

*find the square root*

there is your answer

After direct variation y = 2 when x = -3.

So,

The initial statement is y = kx

Then to find y when x = -3.

When x = -3:

Therefore, y = 2 when x = -3.

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firm 2's quantity at the Cournot equilibrium is q2=5/3.the inverse demand function: p=10−Q=10−(q1+q2)=10−(11/5+4/5)=4. firm 2's quantity at the new Cournot equilibrium is q2=4/5.

The best response of firm 1 is given by 1q1=5−0.5q21+q2, and the best response of firm 2 is given by 2q2=5−0.5q12+q1. These best response functions are illustrated in the following diagram:
At the Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect.

Therefore, solving the two best response functions simultaneously for q1 and q2 gives:
q1=q2=5/3
Therefore, firm 2's quantity at the Cournot equilibrium is q2=5/3.
The new best response function for firm 2 is given by 2q2=5−q1+2q22. This is obtained by replacing c2=2 with c2=4 in firm 2's profit function. The new best response function is illustrated below:

At the new Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect. Therefore, solving the two best response functions simultaneously for q1 and q2 gives:
q1=11/5
q2=4/5
Therefore, firm 2's quantity at the new Cournot equilibrium is q2=4/5.

To determine the market price at the new Cournot equilibrium, we substitute the new equilibrium quantities into the inverse demand function:
p=10−Q=10−(q1+q2)=10−(11/5+4/5)=4
Therefore, the market price at the new Cournot equilibrium is p=4.

In this exercise, we consider a market with two firms, 1 and 2, facing the inverse demand p()=10− p(Q)=10-Q where =1+2Q=q1+q2.

The two firms incur a marginal cost of production c1=c2=2c1=c2=2, produce a homogeneous good, and are Cournot competitors. The best response of firm 1 is given by 1q1=5−0.5q21+q2, and the best response of firm 2 is given by 2q2=5−0.5q12+q1. These best response functions are illustrated in the diagram below:

At the Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect

. Therefore, solving the two best response functions simultaneously for q1 and q2 gives q1=q2=5/3. Therefore, firm 2's quantity at the Cournot equilibrium is q2=5/3.The new best response function for firm 2 is given by 2q2=5−q1+2q22. This is obtained by replacing c2=2 with c2=4 in firm 2's profit function.

The new best response function is illustrated in the following diagram:At the new Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect.

Therefore, solving the two best response functions simultaneously for q1 and q2 gives q1=11/5 and q2=4/5. Therefore, firm 2's quantity at the new Cournot equilibrium is q2=4/5

To determine the market price at the new Cournot equilibrium, we substitute the new equilibrium quantities into the inverse demand function: p=10−Q=10−(q1+q2)=10−(11/5+4/5)=4. Therefore, the market price at the new Cournot equilibrium is p=4.

In conclusion, we have analyzed the effect of a raising rival's cost strategy on a Cournot duopoly. We have shown that the strategy reduces firm 2's quantity and increases the market price, but does not affect firm 1's quantity.

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Answer:

90°

Step-by-step explanation:

as a straight line is 180°

and the angle 4 is 90 degrees it must mean that the other side is 90 degrees too

The value of x that satisfies the equation is x = 15/8, which is equivalent to 1.875.

To solve the equation (2/3)x - (1/5)x = x - 1 and find the value of x, we can follow these steps:

Combine like terms on the left side of the equation:

(2/3 - 1/5)x = x - 1

Find a common denominator for the fractions on the left side. The common denominator for 3 and 5 is 15, so we rewrite the equation as:

(10/15 - 3/15)x = x - 1

Simplify the left side of the equation:

(7/15)x = x - 1

To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 15:

15 * (7/15)x = 15 * (x - 1)

This simplifies to:

7x = 15x - 15

Subtract 15x from both sides of the equation to isolate the x term:

7x - 15x = -15

Simplifying further:

-8x = -15

Divide both sides of the equation by -8 to solve for x:

x = (-15) / (-8)

Simplifying the division:

x = 15/8

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Answer:

is just a "place-holder" or "variable.

If

f

x

=

x

+

7

then (using a different variable)

f

(

t

)

=

t

+

5

or

using a constant

f

(

x

)

=

5

+

7

Since

5

+

7

=

12

for the given example

f

(

5

)

=

12

They watered a total of 20 gallons of the yard, then Alice and Samantha each watered 10 gallons (20/2 = 10).

Alice and Samantha watered the yard together, which means that both of them contributed to the watering. If we assume that Alice and Samantha both contributed the same amount of water, then we can use the following formula to calculate how much of the yard each of them watered:

Alice's portion = (Total water / 2)

Samantha's portion = (Total water / 2)

For example, if they watered a total of 20 gallons of the yard, then Alice and Samantha each watered 10 gallons (20/2 = 10).

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The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

two

Step-by-step explanation:

one and add another one

Answer:

Step-by-step explanation:

I will include a picture of the graph For you.

Step-by-step explanation:

bonjour quelqu'un peut-il se joindre à zo om Numéro d'identification 77974021488 le mot de passe 9taPHH

The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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Answer: 2 half-life periods

and 6 days

Answer:

Step-by-step explanation:

Answer:

The equation is true

Step-by-step explanation:

The best way to check if this equate is true is to convert the pi in radians to degree and actually evaluate the trigonometric terms.

Mathematically we know that pi = 180 degrees

So pi/8 = 22.5

and pi/4 = 180/4 = 45

So let’s make our check.

Insert pi = 22.5 and pi = 45

So we have;

tan 22/5 = √(1-cos45)/(1+cos45)

Now let’s evaluate this using a calculator.

tan 22/5 = 0.414213562373

The term in the root; 0.171572875254

The square root of this number is

0.41421356237

This is exactly as what is obtained with the tan 22.5

So we conclude that what we have is true

The correct answer is C. The Mode.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.

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