the curved surface area and volume of a cylinder are 880 CM^2 and 3080 cm^3 respectively find its total surface area​

Answer:

rate = 0.4 %

Step-by-step explanation:

Interest = principal x rate x time

33549 = 8635 x r x 11

33549 = 94985r

r = 33549/94985

r = 0.3532

r = 0.4

rate = 0.4 %

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

d

Step-by-step explanation:

d is the one with both a y squared and x squared making it an ellipse or oval

Answer:

d

Step-by-step explanation:

The value of the modulus function is y = | x | - k , and as x increases , the value of y decreases and then increases

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the modulus function be represented as A

Now , the value of A is

y = | x | - k

where k is the factor of diminish

Now , when k = 4

The value of the modulus function is y = | x | - 4 and the graph is plotted

And , as x increases , the the value of y decreases and then increases

So , If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Hence , the modulus function is y = | x | - k

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Answer:

The answer is $334 because take 283.90 and divide 17 from it which will equal 16.7 then multiply 20 hours by 16.7 to get the answer $334.

Answer:

Step-by-step explanation:z=.2-.16 / √.156(.84)/25

took the test

Answer:

\(z =\frac{0.20 - 0.16}{\sqrt{\frac{0.16 * 0.84}{25}} }\)

This is the correct option.

Have a productive learning day today!

The rate of change of the area of the triangle is 7cm/sec when the base is 4cm and height is 7cm.

We know that,

The Base is growing at the rate of 1 cm per sec.

Height is growing at the rate of 2 cm per sec.

Area of triangle: 1/2 × b × h

The rate of change will be:

1/2 × b × h

1/2 × 4/1 × 7/2

28/4

7 cm per sec

Therefore, the rate of change of the area of the triangle is 7cm/sec when the base is 4cm and height is 7cm.

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Answer:

total angles in triangle = 180

180 = 44+56+ y

y = 180-44-56

y = 80°

now to find z and x

we know the 2 straight lines are parallel (indicated by arrows)

x = 56°

z = 44°

how?

alternate angles theorem

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.

Consider using 3D printing technology to create the spherical fountain. This would allow for precise and customizable designs, and could potentially be more cost-effective than traditional manufacturing methods for complex shapes.

Use a mathematical formula to design the fountain. Here are the steps to design a spherical fountain:

Determine the desired size of the fountain. This will be the diameter of the sphere. Let's say your client wants a fountain with a diameter of 6 feet.

Calculate the radius of the sphere by dividing the diameter by 2. In this case, the radius is 3 feet.

Use the formula for the surface area of a sphere to determine the surface area of the fountain. The formula is: SA = 4π\(r^2\), where r is the radius of the sphere and π is a mathematical constant (approximately 3.14). In this case, the surface area is:

SA = 4π\((3)^2\)

SA = 4π(9)

SA = 36π

SA ≈ 113.1 square feet

Use the desired water flow rate to determine the volume of water that will flow through the fountain per minute. Let's say your client wants a flow rate of 50 gallons per minute.

Use the formula for the volume of a sphere to determine the volume of the fountain. The formula is: V = (4/3)π\(r^3\). In this case, the volume is:

Calculate the amount of time it will take for the fountain to cycle through all of its water. This is known as the turnover time, and it is important to maintain water quality. The turnover time is calculated by dividing the volume of water in the fountain by the flow rate. In this case, the turnover time is:

Use these calculations to design the fountain, taking into account any necessary adjustments for the manufacturer's limitations.

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Full Question: Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to modify the sphere to a series of cylindrical slabs with gradually decreasing radii.

Hypothesis test used to test the batting average of the two given team national league and American league is given z-test.

As given in the question,

Given : Mean batting for American league is not equal to Mean batting for National league.

Therefore, hypothesis test used to test the batting average of the national league and American league is given z-test.

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For the purpose of content marketing, the strategies portion of strategic planning focuses on how content marketing can help achieve certain goals and objectives.

This is because strategies are the overarching plans that guide the actions and decisions of a content marketing program.

A content marketing strategy defines the target audience, key messages, channels, and metrics for success. It outlines how content will be created, distributed, and measured in order to achieve specific business objectives.

The tactics portion of strategic planning is more focused on the specific actions and initiatives that will be taken to execute the strategy. Tactics might include things like social media campaigns, email marketing, webinars, or video production. While tactics are important, they should always be guided by the overarching strategy in order to ensure that they are aligned with business goals and objectives.

Messages are the specific pieces of content that are created as part of a content marketing program. While messages are important for engaging the audience and driving action, they are not the primary focus of strategic planning. Finally, situational analysis is an important step in the planning process, but it is not specific to content marketing. A situational analysis is a broad assessment of the business environment and competitive landscape, which is used to inform overall business strategy.

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complete question:

For the purpose of content marketing, the ______ portion of strategic planning focuses on how content marketing can help achieve certain goals and objectives.A) strategiesB) tacticsC) messagesD) situational analysis

I think it helps you..............

Answer:

Is there answer choices

Step-by-step explanation:

NVM guess this is the answer  

m of <MTS is 107 degrees and m of <STN=73 degrees

Answer:

m of <MTS is 107 degrees and m of <STN=73 degrees

Step-by-step explanation:

You do 180-73 to find the other angle beside 73 and since they're parallel its the same angles but opposite essentially. Sorry this isn't the best explanation.

Answer:

I replaced alpha by A and bitta by B. Sorry for this mistake

Answer:

Step-by-step explanation:

Given

Then the sum and product of the roots are:

(i) Roots are α + 1 and β + 1, then we have:

(ii) Roots are 2 - α and 2 - β, then we have:

(iii) Roots are α² and β², then:

(iv) Roots are 1/α and 1/β, then:

(v) Roots are 2/α² and 2/β², then:

Answer:

2/5.

Step-by-step explanation:

Hope this helps. S

Answer:

2/5 is the answer of this question

Answer:

Right. Triangles. 60. º. 60. º. 60. º. 50. º. 45. º. 85. º. Not . Right Triangles. Classify Differentiate Test. A right triangle is a TRIANGLE that HAS ONE RIGHT ANGLE  

Answer:

the answer is 38

Step-by-step explanation:

The triangle = 10 180 and 180-142 is 38

Answer:

y=5/3x

Step-by-step explanation:

Answer:

y=5/3x

Step-by-step explanation:

Answer:

so u will pay 3.82 and u will save 15.26 dollars

Step-by-step explanation:

Answer:

14.40$

Step-by-step explanation:

Answer:

B. 6 hours and 40 mins

Step-by-step explanation:

Create a proportion where x is the amount of time to hike the entire 8 miles.

Represent the time in minutes:

\(\frac{130}{2.6}\) = \(\frac{x}{8}\)

Cross multiply and solve for x:

2.6x = 1040

x = 400

Convert this to hours:

400/60

= 6.67 (6 hours and 40 mins)

So, the correct answer is B. 6 hours and 40 mins

True. When performing econometric analysis on time-series data, it is a best practice to sort the data in chronological order. Econometric analysis involves using statistical methods to study and understand economic relationships, trends, and patterns.

Time-series data refers to a set of observations collected at regular intervals over time, such as stock prices, GDP growth, or unemployment rates.

Sorting the data in chronological order is essential because it allows for a proper understanding of the temporal relationship between different data points. This ordering helps researchers identify patterns, trends, and potential causal relationships within the data. Additionally, many econometric models, such as autoregressive or moving average models, rely on the assumption that the data points are arranged sequentially in time.

In summary, when conducting econometric analysis on time-series data, it is crucial to sort the data in chronological order to accurately analyze patterns, trends, and relationships. This practice enables researchers to develop robust models that can be used for forecasting and understanding the underlying economic processes.

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Answer:

D

Step-by-step explanation:

a) The list of possible outcomes for white and black are shown

b) The number of outcomes that given one white and one black are: two outcomes.

c) The sample space diagram is:

B, B | B, W

W, B | W, W

A sample space is a collection or set of possible outcomes from a random experiment. The sample chamber is denoted by the symbol 'S'. A subset of the possible outcomes of an experiment are called events. A sample room can contain a set of results according to an experiment.  

a) Under spinner to column, the list of possible outcomes are respectively:

White

Black

White

Under outcomes column, the list of possible outcomes are respectively:

B, W

W, B

W, W

b) From the table, we can conclude that the number of outcomes that given one white and one black are two outcomes.

c) The sample space diagram will be:

B, B | B, W

W, B | W, W

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Answer:

50%

Step-by-step explanation:

10x5=50

10 is the Percentage.

5 is the Time.

The roots of a polynomial are the values of x for which the polynomial evaluates to 0.

A complex root is a root for which the real and imaginary parts are not both 0. If a polynomial has a complex root, that means that there is at least one value of x for which the polynomial evaluates to 0.

This can happen in two ways: either the polynomial has a real root and an imaginary root, or it has two complex roots. In either case, the complex roots must be found in order to determine the polynomial's factorization.

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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An angle drawn in standard position measuring 10 radians has its terminal ray lying in the third quadrant. The reasoning behind this can be explained by understanding the relationship between the angle measurement and the quadrants in the coordinate plane.

In the standard position, an angle is drawn with its initial side along the positive x-axis and its terminal side determined by the angle measurement. In the coordinate plane, the quadrants are divided into four sections: first quadrant (positive x and y), second quadrant (negative x, positive y), third quadrant (negative x and y), and fourth quadrant (positive x, negative y).

In this case, the angle measures 10 radians, which is greater than π radians (approximately 3.14). Since π radians is half of a circle (180 degrees) and represents the boundary between the second and third quadrants, an angle measuring 10 radians is greater than π and thus falls in the third quadrant.

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The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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Approximately 60.41 mL of water must be added to exactly fill the glass container with the lead sphere sitting at the bottom.

To calculate the volume of the lead sphere, we can use the formula for the volume of a sphere:

V_sphere = (4/3) * π * r^3

First, we need to convert the radius of the sphere from inches to millimeters since the volume of the container is given in milliliters.

1 inch is equal to 25.4 millimeters, so the radius of the sphere in millimeters is:

r = 0.8276 inch * 25.4 mm/inch = 21.00604 mm

Now, we can calculate the volume of the lead sphere:

V_sphere = (4/3) * π * (21.00604 mm)^3

Next, we need to determine the volume of water required to fill the container. We subtract the volume of the lead sphere from the volume of the glass container:

V_water = V_container - V_sphere

Given that the volume of the glass container is 42.12 mL, we substitute the values:

V_water = 42.12 mL - V_sphere

Finally, we calculate the volume of water required:

V_water = 42.12 mL - [(4/3) * π * (21.00604 mm)^3]

Evaluating the expression, we find that approximately 60.41 mL of water must be added to exactly fill the glass container with the lead sphere sitting at the bottom.
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