7. Find the volume and total area of the right circular cone. (12 points) H:8 R:6 L:?

Answer:

Step-by-step explanation:

if 600 represents ........................15%

     x.................................................100%

(600*100)/15=4000

the customer paid

4000-600=3400

The volume of the cylinder is approximately 6058.73 cubic meters.

A cylinder is a three-dimensional geometric shape that is similar to a tube. It has two parallel bases that are circular in shape, and its lateral surface is a rectangle. The height of the cylinder is the distance between the two bases. The cylinder has a top base and a bottom base, and these are both circles with the same diameter. The volume of a cylinder can be found by multiplying the area of one of its circular bases by its height. The surface area of a cylinder can be found by adding up the areas of the two circular bases and the lateral surface. Cylinders are widely used in mathematics, engineering, and physics, and they play an important role in the study of various geometric and physical concepts.

Given the diameter of a cylinder is 34m and its height is 27m, we can find the volume of the cylinder using the formula:

Volume = π × (diameter / 2)² × height

Plugging in the values, we get:

Volume = 3.14 × (17 / 2)² × 27

Volume = 3.14 × (8.5)² × 27

Volume = 3.14 × 72.25 × 27

Volume = 6058.73 cubic meters

So, the volume of the cylinder is approximately 6058.73 cubic meters.

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To find the flow line of the given vector field, first, we need to sketch its flow line, and then solve the flow line equation.

A. The flow line of a vector field is a curve that follows the direction of the vector field at every point on the curve. To sketch the flow line of the vector field, we can draw short tangent vectors at different points on a curve and connect them to form a smooth curve.

B. To solve the flow line equation, we need to use the definition of a flow line, which states that the derivative of the curve should be equal to the vector field at every point on the curve. We can write this as a differential equation and solve it to find the equation of the flow line.

Therefore, to find the flow line of the vector field, we need to sketch its flow line and solve the flow line equation using the definition of a flow line

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D) 1200 ft = 365.76 meters

E) 65 m^2 = 699.654 ft^2

90 m^3 = 90,000 liters

To convert between different units of measurement, we need to use conversion factors that relate the two units. Here are the conversions for the given questions:

D) To convert 1200 feet to meters, we know that 1 foot is equal to 0.3048 meters. Therefore, we can multiply 1200 by 0.3048 to get the equivalent in meters:

1200 ft * 0.3048 m/ft = 365.76 meters

E) To convert 65 square meters to square feet, we need to use the conversion factor of 1 square meter = 10.7639 square feet. Multiplying 65 by 10.7639 gives us the equivalent in square feet:

65 m^2 * 10.7639 ft^2/m^2 = 699.654 square feet

90 m^3 to liters:

To convert cubic meters to liters, we know that 1 cubic meter is equal to 1000 liters. So, we can multiply 90 by 1000 to get the equivalent in liters:

90 m^3 * 1000 liters/m^3 = 90,000 liters

Therefore, 1200 ft is approximately 365.76 meters, 65 m^2 is approximately 699.654 ft^2, and 90 m^3 is equal to 90,000 liters.

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With the growth of cities, Americans flocked to the big cities for jobs in the booming factories.

The population explosion is a term to refer to a phenomenon of human displacement in which people moved in large numbers from one place to another. The population explosion has been influenced by different factors over time,

One of the causes of the great demographic explosions towards the cities during the 18th, 19th and 20th centuries was the growth of industry and the supply of work in factories. This caused many people to abandon their rural life and move towards the cities. This case occurred in the United States where the industry was strengthened by the large number of employees in the factories.

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The zeros of the function G(t) are given by t = -1 + √(20.25g) and t = -1 - √(20.25g).

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

To find the zeros of the function G(t), we need to find the values of t that make G(t) equal to zero. So, we start by setting G(t) to zero and solving for t:

G(t) = 0

(t+1)2 - 20.25g = 0 [substituting G(t) in place of 0]

(t+1)2 = 20.25g [adding 20.25g to both sides]

t+1 = ±√(20.25g) [taking the square root of both sides]

t = -1 ± √(20.25g) [subtracting 1 from both sides]

So, the zeros of the function G(t) are given by t = -1 + √(20.25g) and t = -1 - √(20.25g).

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Answer:

It will increase it.

Step-by-step explanation:

i go to primavera :)

Answer:

0

Step-by-step explanation:

To obtain one period of the discrete-time signal using the synthesis equation, we need to use the Fourier series coefficients (ak) and the corresponding harmonics.

The synthesis equation for a discrete-time signal with period N is given by:

x[n] = ∑[k=0 to N-1] ak * e^(j2πkn/N)

Given the Fourier series coefficients (ak) for k = 0, 1, 2, 3, 5, 1+j, -1, -1-j, we can substitute these values into the synthesis equation to obtain the one period of the signal.

For the given coefficients, the synthesis equation becomes:

x[n] = a0 * e^(j2πn0/N) + a1 * e^(j2πn1/N) + a2 * e^(j2πn2/N) + a3 * e^(j2πn3/N) + a5 * e^(j2πn5/N) + (a1+j) * e^(j2π(n-1)/N) + (-a1) * e^(j2π(n-1)/N) + (-a1-j) * e^(j2π(n-1)/N)

where n0 = 0, n1 = 1, n2 = 2, n3 = 3, n5 = 5.

Substituting the corresponding values, we have:

x[n] = a0 * e^(j2πn0/N) + a1 * e^(j2πn1/N) + a2 * e^(j2πn2/N) + a3 * e^(j2πn3/N) + a5 * e^(j2πn5/N) + (a1+j) * e^(j2π(n-1)/N) + (-a1) * e^(j2π(n-1)/N) + (-a1-j) * e^(j2π(n-1)/N)

Now, substitute the values of n0, n1, n2, n3, and n5 according to the period N = 4:

x[n] = a0 * e^(j0) + a1 * e^(j2π/4) + a2 * e^(j4π/4) + a3 * e^(j6π/4) + a5 * e^(j10π/4) + (a1+j) * e^(j2π(n-1)/4) + (-a1) * e^(j2π(n-1)/4) + (-a1-j) * e^(j2π(n-1)/4)

Simplifying further and applying Euler's formula (e^(jθ) = cos(θ) + j*sin(θ)), we can express the signal in terms of cosines and sines.

Please note that the exact values of ak and the coefficients a1+j, -a1, and -a1-j are missing in the given information. To proceed further and obtain the one period of the signal, we would need the specific values of these coefficients.

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Based on the given graph, the domain of the function can be expressed as [-5, 2], indicating that the function is defined for x-values within this interval.

Therefore, based on the given graph, the domain of the function can be expressed as [-5, 2], indicating that the function is defined for x-values within this interval.

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Answer:

888

Step-by-step explanation:

Im pretty sure this is the answer, if helpful please mark me as brainiest :>

Given that the test's p-value is 0.0562>0.05, there is enough data to conclude that the machines' manufacturer should perform a new calibration.

A statistic employed in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.

Here,

x=4.88 cm

μ=5 cm

σ=0.44 cm

n=49

The test statistic,

=(4.88-5)/(0.44/7)

z=-1.909

The p-value of the test is the probability that the sample mean is different by at least 4.88 - 5 = 0.12 from the target value, which is P(|z| > -1.909), which is 2 multiplied by the p-value of z = -1.909

At z=-1.909, p-value=0.0281

2*0.0281=0.0562

The test's p-value is 0.0562>0.05, indicating that there is enough data to conclude that the machines' manufacturer should perform a recalibration.

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Answer:

x^2 + 10x + 25.

Step-by-step explanation:

When you have questions like these, where there is an (x + something)^2,

you just need to put it into this form:

x^2 + ____x + ____.

For the first blank, add 5 + 5 in this case.

For the second blank, multiply 5 * 5.

5 + 5 = 10.

5 * 5 = 25.

So the final answer is:

x^2 + 10x + 25.

Answer:

Jane has 30 different outfits she can choose from.

Step-by-step explanation:

Jane has 3 pairs of pants, 5 shirts for each pair of pants, and 2 shoes for each shirt. So the total amount of different outfits she can wear is \(3 * 5*2\) = 30 different outfits.

Answer:

after 8 years the value of the car would be $8,173.42

Step-by-step explanation:

the given P=15250

r=7.5/100=0.075

t=x

y = 15250*(1 - 0.075)^x

after 8 years we would have

x = 8

y = 15250*(1 - 0.075)^8

y = $8,173.42

after 8 years the value of the car would be $8,173.42

Answer:

8173.42

Step-by-step explanation:

I just know it's correct

The 95% range is from 154.47 to 167.53.
The 95% range is from 1295.51 to 1338.49.

The 95% range is from 69.599 to 70.401.

(a) Using the formula, we get:

[161 - z(12/√47), 161 + z(12/√47)]

To find the value of z, we need to look at the standard normal distribution table for the 0.025 and 0.975 percentiles (since we want the middle 95%). The z-scores corresponding to these percentiles are -1.96 and 1.96, respectively.

So, the interval is:

[161 - 1.96(12/√47), 161 + 1.96(12/√47)]

= [154.47, 167.53]


(b) Using the same formula, we get:

[1317 - z(21/√10), 1317 + z(21/√10)]

Looking up the z-scores for the 0.025 and 0.975 percentiles, we get -2.26 and 2.26, respectively.

So, the interval is:

[1317 - 2.26(21/√10), 1317 + 2.26(21/√10)]

= [1295.51, 1338.49]



(c) Using the same formula again, we get:

[70 - z(1/√27), 70 + z(1/√27)]

This time, looking up the z-scores for the 0.025 and 0.975 percentiles, we get -1.96 and 1.96, respectively.

So, the interval is:

[70 - 1.96(1/√27), 70 + 1.96(1/√27)]

= [69.599, 70.401]

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Answer:

B) 9

Step-by-step explanation:

\(\frac{2x-8}{2x-3} = \frac{x-3}{x}\)

x = 9

We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

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Answer:

The answer is 0.15

Step-by-step explanation:

3 × 5 × (0.1) × (0.1)

15 × (0.01) = 0.15

Thus, The answer is 0.15

-TheUnknownScientist 72

Answer: 0.15

Step-by-step explanation:

(3 x 5) x (0.1 x 0.1)

=(15) x (0.01)

Thus, =0.15

Answer:

0.036

Step-by-step explanation:

Number of wheels = 3

Total number of symbols on each wheel = 10

number of skulls = 4

number of Lemons = 3

number of cherries = 2

number of bell = 1

Determine the probability of getting ; a lemon, cherry and Bell given that outcome of each wheel is independent

P(of getting Lemon, cherry and berry ) =  6 * P( lemon , cherry , Bell )

= 6 * ( 3/10 ) * ( 2/10) * ( 1/10 )

= 0.036

Answer:

just ask your teacher

Step-by-step explanation:

maybe she can help lol

The action that could result in a county government budget running into deficit is c. The county gives all public school teachers a $2,000 raise without adjusting taxes.

A deficit budget is a budget whose expenditure exceeds its revenue.

Deficits are simply the excess of expenditure over revenue in any fiscal period.

When the government raises its revenue through sales, property taxes, or donations collected or reduces its expenditures, it does not run into a deficit unless the expenditures still exceed the revenues.

Thus, the action that could result in a county government budget running into deficit is Option C.

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Answer:

D step by step explanations

The domain is the set of all possible x values.

Given x can assume the values of 0, 1, 2, 3, and 4 (no more than 4 melon can be bougth).

D = (0, 1, 2, 3, 4).

Answer: D = (0, 1, 2, 3, 4).

Answer:

147,000,000

Step-by-step explanation:

152,000,000+147,000,000=299,000,000

Step-by-step explanation:

299,000,000-152,000,000=Male

Male=147,000,000

=1.47×10'8

Answer:

x=-9/10

Step-by-step explanation:

2x+8x+16=7

Step 1: Simplify both sides of the equation.

2x+8x+16=7

(2x+8x)+(16)=7(Combine Like Terms)

10x+16=7

10x+16=7

Step 2: Subtract 16 from both sides.

10x+16−16=7−16

10x=−9

Step 3: Divide both sides by 10.

10x/10

=

−9/10

x=-9/10

Answer:

x = - 4 ± \(\sqrt{7}\)

Step-by-step explanation:

Given

x² + 8x + 16 = 7 ( subtract 16 from both sides )

x² + 8x = - 9

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(4)x + 16 = - 9 + 16

(x + 4)² = 7 ( take the square root of both sides )

x + 4 = ± \(\sqrt{7}\) ( subtract 4 from both sides )

x = - 4 ± \(\sqrt{7}\)

Then

solutions are x = - 4 - \(\sqrt{7}\) , x = - 4 + \(\sqrt{7}\)

Answer:

30 Oranges

Step-by-step explanation:

The ratio of apples to oranges is 4:3.  For every 4 apples there are 3 organges.  We can write that as 4A/3O, where A and O are Apples and Oranges.  This can be rewritten as percentages of each fruit.  A bag of 7 would have 4 Apples (4/7) or 0.5715 [57.15%] and 3 Oranges (3/7) or 0.4285 [42.85%].

A bag of 70(A and O) can be determined to have:

Apples:  70*(0.5715) =  40 Apples, and

Oranges:  70*(0.4285) = 30 Oranges