the volume of a cone is 540pi. work out the height of the cone.

Answer: 3(10^5)

=3*10^5

=3*(10*10*10*10*10)

=300000

This is how you should do It, just when it is squared you should times the number like up here you times 10 times 10 5 times so if you see it you don't times it by 5 you do 10 times 10 times 10 times 10 times 10 like this

You should get it now

Have a good day

Yours,

Nathaniel

Step-by-step explanation:

The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.

Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.

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The  natural annual percent of  increase of its population is 1.6%, under the given condition that in the given country possess a crude birth rate of 24 per 1,000 and crude death rate of 8 per 1,000.

Then the correct option is Option B.

For the purpose of evaluating the natural annual percent of increase in a population we have to  subtract crude death rate from  crude birth rate and then dividing by 10.

So for the given case,

the natural annual percent of increase in the population would be

((24-8)/10)

= 1.6%

The  natural annual percent of  increase of its population is 1.6%, under the given condition that in the given country possess a crude birth rate of 24 per 1,000 and crude death rate of 8 per 1,000.



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The complete question

If a country has a crude birth rate of 24 per 1,000 and a crude death rate of 8 per 1,000, the natural annual percent increase of its population is

a) 0.6%

b)1.6%

c) 3%

d)16%

e) 32%

Answer:

it's A

Step-by-step explanation:

just took the test

g(x) = lx- 2l - 3 is the equation of the new function when the  parent function f(x) = |xl shift 2 units to the right and Shift 3 units down.

The given parent function is  fx) = |xl.

We need to shift the parent function  2 units to the right and 3 units down.

To shift the absolute value function 2 units to the right.

We need to replace x with x - 2 inside the absolute value, as follows:

g(x) = |x - 2|

To shift the function 3 units down

We need to subtract 3 from the entire function, as follows:

g(x) = |x - 2| - 3

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Answer:

The answer is "\(\bold{- \frac{19}{13} \ / hour}\)"

Step-by-step explanation:

Please find the complete question in the attached file.

Calculating the difference of \(9 \frac{1}{4}\ and \ 4 \frac{1}{2}\)  dividing the value by \(3 \frac{1}{4}\)

\(\to 4 \frac{1}{2} - 9 \frac{1}{4}\\\\ \to \frac{9}{2} - \frac{37}{4}\\\\ \to \frac{18-37}{4} \\\\ \to -\frac{19}{4}\\\\\to -\frac{19}{4} \div \frac{13}{4}= -\frac{19}{4} \times \frac{4}{13} = -\frac{19}{13}\\\)

The length of the arc BC is 3π units.

The length of an arc can be found as follows:

length of an arc = ∅ / 360 × 2πr

where

Therefore, let's find the length of the arc BC in terms of π.

Therefore,

r = 9 units

∅ = 60 degrees

length of the arc = 60 / 360 × 2π  × 9

length of the arc = 1 / 6 × 18π

length of the arc = 18π / 6

length of the arc = 3π

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Exponential, triangular, Weibull, beta, Erlang, gamma, and lognormal distributions are often referred to as continuous theoretical distributions.

In most simulations, a queue is important for keeping an entity when it cannot move.

Exponential, triangular, Weibull, beta, Erlang, gamma, and lognormal distributions are all examples of continuous theoretical distributions. These distributions are used to model random variables that take on continuous values, such as time, length, or volume. They are characterized by probability density functions that describe the likelihood of different values occurring within a given range.

In simulation modeling, a queue is an important construct used to manage entities or objects that need to wait or be processed in a specific order. When an entity cannot move or proceed further in the simulation, it is typically placed in a queue until the conditions allow it to progress. Queues are commonly used in various simulation scenarios, such as modeling service systems, production lines, or network traffic.

Global variables and attributes are generally used to store and manage data within a simulation, but they do not specifically address the concept of keeping an entity when it cannot move. Resources, on the other hand, are entities that are required or consumed by other entities in the simulation, such as equipment or personnel, but they do not directly handle the situation of entities being unable to move.

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Answer:

Step-by-step explanation:

jnj is f skf sk cxk cc

It looks like the system of ODEs is

\(\begin{cases} 2x' + y' - 4x - 4y = e^{-t} \\ x' + y' + 2x + y = e^{4t} \end{cases}\)

Differentiate both sides of both equations with respect to \(t\).

\(\begin{cases} 2x'' + y'' - 4x' - 4y' = -e^{-t} \\ x'' + y'' + 2x' + y' = 4e^{4t} \end{cases}\)

Eliminating the exponential terms, we have

\((2x' + y' - 4x - 4y) + (2x'' + y'' - 4x' - 4y') = e^{-t} + (-e^{-t}) \\\\ \implies (2x'' - 2x' - 4x) + (y'' - 3y' - 4y) = 0\)

\((x'' + y'' + 2x' + y') - 4 (x' + y' + 2x + y) = 4e^{4t} - 4\cdot e^{4t} \\\\ \implies (x'' - 2x' - 8x) + (y'' - 3y' - 4y) = 0\)

Now we can eliminate \(y\) and it derivatives.

\(\bigg((2x'' - 2x' - 4x) + (y'' - 3y' - 4y)\bigg) - \bigg((x'' - 2x' - 8x) + (y'' - 3y' - 4y)\bigg) = 0 - 0 \\\\ \implies x'' + 4x = 0\)

Solve for \(x\). The characteristic equation is \(r^2 + 4 = 0\) with roots at \(r=\pm2i\), hence the characteristic solution is

\(\boxed{x(t) = C_1 \cos(2t) + C_2 \sin(2t)}\)

Solve for \(y\). Substituting \(x\) into the second ODE gives

\(x' + y' + 2x + y = e^{4t} \\\\ \implies y' + y = e^{4t} + C_1 \cos(2t) + C_2 \sin(2t)\)

The characteristic equation this time is \(r + 1 = 0\) with a root at \(r=-1\), hence the characteristic solution is

\(y(t) = C_3 e^{-t}\)

Assume a particular solution with unknown coefficients \(a,b,c\) of the form

\(y_p = ae^{4t} + b \cos(2t) + c \sin(2t) \\\\ \implies {y_p}' = 4ae^{4t} - 2b\sin(2t) + 2c\cos(2t)\)

Substituting into the ODE gives

\(5ae^{4t} + (b+2c) \cos(2t) + (-2b+c) \sin(2t) = e^{4t} + C_1 \cos(2t) + C_2 \sin(2t) \\\\ \implies \begin{cases}5a = 1 \\ b+2c = C_1 \\ -2b+c = C_2\end{cases} \\\\ \implies a=\dfrac15, b=\dfrac{C_1-2C_2}5, c=\dfrac{2C_1+C_2}5\)

so that the general solution is

\(\boxed{y(t) = \dfrac15 e^{4t} + \dfrac{C_1-2C_2}5 \cos(2t) + \dfrac{2C_1+C_2}5 \sin(2t) + C_3 e^{-t}}\)

Answer:

\( \frac{x}{8} + 4 = 6\)

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

\(x = 16\)

The number is 16.

Answer:

This line is aray because it has a beginning and it has no end

Answer:

1286 meters long

Step-by-step explanation:

421,808 divided by the width of the plot gives you 1,286 meters for the width.

Answer:100

Step-by-step explanation:

Answer:

\(\frac{20}{x^2 + 10x+24}\)

Step-by-step explanation:

common denominators : (x+6)(x+4)

numerators become difference of squares

\(x^2 -16\)   and   \(x^2-36\)  

\(x^2 -16\)   -   \(x^2-36\)   = 20

(x+6)(x+4) = \({x^2 + 10x+24}\)

Answer:

i hope it will help you thank u

Therefore, the score `80.6` is such that 90% of the data falls below it.

The score `80.6` is such that 90% of the data falls below it. Given, mean of the scores, `X¯ = 75` and `Q3 = 77.6`. We know that the 3rd quartile `Q3` is the 75th percentile. So, the z-score for `Q3` is `z = 0.67` (using the standard normal distribution table).

Now, `z = (X - X¯)/ σ `where `σ` is the standard deviation of the distribution. So, we get `σ = (X - X¯)/z`Substituting `X = 77.6`, `X¯ = 75` and `z = 0.67`, we get:`σ = (77.6 - 75)/0.67 = 3.582`.

Therefore, the standard deviation of the distribution is `σ = 3.582`.Now, we need to find the `P90`, which is the score below which 90% of the data falls.

To find the `P90`, we need to find the `z-score` such that the area to the left of it is `0.9`. Using the standard normal distribution table, we find that the `z-score` is `1.28`.So, `z = (X - X¯)/ σ` => `1.28 = (X - 75)/3.582`.

Solving for `X`, we get:`X = 80.6`Therefore, the score `80.6` is such that 90% of the data falls below it.

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Answer:

2

4

6

8

1.7412137e+12

Step-by-step explanation:

the first 4 are basic addition and the last one I put into calculator and it came up with that

Answer:

x=1, y=4

Step-by-step explanation:

5x+y=9

10x-7y=-18

(Multiply top equation by -2)

-10x-2y=-18

10x-7y=-18

(Add)

-9y=-36

(Divide -36 by -9)

y=4

(Substitute y(4) into the top equation)

5x+4=9

(Subtract 4)

5x=5

(Divide 5)

x=1

Answer: x=1 , y=4

Step-by-step explanation:

5x+y =9          y=9-5x

10x - 7y = -18

10x-7(9-5x)=-18                   y=9-5x

10x-63+35x=-18                  y=9-5(1)

45x-63=-18                          y=4

45x=-18+63

45x=45

x=1

The three people in order of the times they spent walking from least time to greatest time is Beth < Cindy < Ari .

In the question ,

it is given that

Ari walked a distance of 22 miles with speed of 2 miles per hour .

Beth walked a distance of 1 mile with the speed of 1 mile per hour.

Cindy walked for the time 1 hour and 21 minutes .

converting 21 minutes to hours , we get

= 1 hr 21 min

= 1+21/60

= 27/20

= 1.35 hours     ....(i)

time required for Ari to walk 22 miles with speed of 2 miles per hour is

time = distance/speed

time = 22/2 = 11 hours         ...(ii)

time required for Beth to walk 1 miles with speed of 1 miles per hour is

time = 1/1 = 1 hours        ....(iii)

From equation (i) , (ii) and (iii) ,

the order of the time they spent walking from least to greatest time is

1 hours < 1.35 hours < 11 hours

Therefore , the three people in order of the times they spent walking from least time to greatest time is Beth < Cindy < Ari .

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Answer:

y = ∛(x+3) + 3

Step-by-step explanation:

I plugged each equation into a graphing calculator.

Step-by-step explanation:

according to the graph on the drawing:

the correct answer is

b. y = -x+2 ; x≤1

y = x+1 ; x>1

Answer:

oyxogxogxpydlyelhxobdogdboeohdphdobsphdpbdphdphddphxhphdphcp7

Step-by-step explanation:

pudpydpydoywotw59w5930yr07t69rotsphxphcphcohxohxohcmydktdiyxiyc9ys8tsotdpudoysitsitspypydpydpufp

Answer:

I got ans 28 but not there in options I am sorry

Answer:

53

Step-by-step explanation:

x+x+2+72=180

2x=180-74

2x=106....divide both by 2

x=53

The mean score is approximately 69.21.

To find the mean score, we need to follow these steps:

We start by adding up all the scores given:

71 + 67 + 67 + 72 + 76 + 72 + 73 + 68 + 72 + 72 + 72 + 67 + 71 + 68

We have a total of 14 scores in the given list.

Next, we divide the sum obtained in Step 1 by the total number of scores (Step 2):

(71 + 67 + 67 + 72 + 76 + 72 + 73 + 68 + 72 + 72 + 72 + 67 + 71 + 68) / 14

Now we perform the addition in the numerator:

= 969 / 14

Finally, we divide the numerator (969) by the denominator (14):

Mean score = 969 / 14 ≈ 69.21

Therefore, the mean score of the top ten finishers in the golf tournament is approximately 69.21.

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Complete Question:

The scores of the top ten finishers in a recent golf tournament are listed below. Find the mean score.

71, 67, 67, 72, 76, 72, 73, 68, 72, 72, 72, 67, 71, and 68

Answer:

12 inches

Step-by-step explanation:

The storage bin is in the shape of a rectangular prism.

Its volume is 5400 cubic inches and its base area is 450 square inches.

The volume of a rectangular prism is given as:

V = L * W * H

where L = length

W = width

H = height

The product of the length and width gives the base area of the rectangular prism:

A = L * W

This implies that:

V = A  * H

=> 5400 = 450 * H

H = 5400 / 450

H = 12 inches

The height of the bin is 12 inches.

What are the dimensions of a rectangle whose area is represented by the expression 4932 – 16?

49x² - 16

LENGTH: 3

WIDTH:  11

Hope this helps ~

the probability of randomly selecting the correct unscrambling would be 1/n!. As the length of the word increases, the probability of randomly selecting the correct unscrambling becomes increasingly small due to the exponential growth of possible arrangements.

The probability of coming up with the correct unscrambling through random letter selection depends on the specific word being unscrambled and the number of possible permutations. In general, the probability can be quite low due to the large number of possible combinations.

To calculate the probability, you would need to know the total number of possible letter arrangements and the number of arrangements that result in the correct unscrambling. Let's assume we have a word with n letters. The total number of possible arrangements is n!, which represents n factorial (the product of all positive integers from 1 to n).

The number of arrangements that result in the correct unscrambling depends on the specific word and the length of the word. For example, if the word has 4 letters, there are 24 possible arrangements (4!). However, only one of those arrangements is the correct unscrambling.

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Answer:

Coordinates: (0,0) ; (1,5) ; (2,10)

Step-by-step explanation:

x  |  y

0  0

1   5

2  10

Coordinates: (0,0) ; (1,5) ; (2,10)

This should be a straight line that is going diagonally with a positive slope.

Answer:

Copper

Step-by-step explanation:

Count the exponents and this tells you the proton amount (atomic number)

and electron count

This is the electron configuration

Answer: copper

Step-by-step explanation: 1s22s22p63s23p63d104s1 is the election configuraction

Step-by-step explanation:

5(2h+8) <60

10h +40< 60

10h + 40-40 < 60-40

10h < 20

10h/10 < 20/10

h < 2