I wanted to find you a higher-order differential equation that had a real-life application. Here is what I found: a cylindrical shaft of length L is rotating with angular velocity w. Find a function y(x) that models the deformation of the cylinder. Of course this is a little bit more specialized to the field of dynamics than what we studied this semester, but what I learned was that this can be modeled: dºy dx4 - a4y = 0

The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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Answer:

1  is the fist picture

2 is the second picture and if u calculate them both equals to 3 so that why the slope cross the same way  

Answer:

R90

Step-by-step explanation:

120 hats sold and each = $0.50

0.50 × 120 = R60 (all the baseball hats cost)

50% of 0.50 = 0.25

0.25 × 120 = 30 (markup price)

60 + 30 = 90 ( total received for the sales)

The exponent form of 1,000,000 is \(10^{6}\) and the base of 1,000,000 is 10.

The term 'power' in mathematics refers to increasing a base number to its exponent. It signifies the "base number" and "exponent" as the two fundamental elements of powers.

The exponent represents the number of times the base number is multiplied, whereas the base number is defined as a number multiplied by itself. We can see exponent terms in many scientific notations to denote the large numbers as the powers of 10.

In a nutshell, power is a number expressed using exponents. It means that the same factor is multiplied multiple times.

Thus, The exponent form of 1,000,000 is \(10^{6}\) and the base of 1,000,000 is 10.

Complete question: Find a base and exponent form for the following number without using the exponent 1,000,000.

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The base number is described as a number multiplied by itself, whereas the exponent shows how many times the base number has been multiplied. Many scientific notations use exponent terms to identify large values as powers of 10.

In a nutshell, a power is an exponentiated integer. It denotes numerous times of multiplying the same factor.

1) SInce 4.15 has an implicit zero as its last digit

2) Then it is safe to say that 4.15 is not greater than 4.150 is the same number.

3) So it is not

The circumference of the great circle of the sphere is approximately 31.4 inches.

To find the circumference of the great circle of the sphere with a volume of (500π)/3 cubic inches, we will first find the radius (r) using the volume formula, and then use the circumference formula.

Step 1: Use the volume formula to find the radius.
The volume formula for a sphere is V = (4/3)π\(r^3\). We are given the volume as (500π)/3, so we can set up the equation:

(500π)/3 = (4/3)π\(r^3\)

Step 2: Solve for r.
To solve for r, we can first divide both sides by (4/3)π:

[(500π)/3] / [(4/3)π] = \(r^3\)

Cancelling the π and the 3 from both sides, we get:

500 / 4 = \(r^3\)
125 = \(r^3\)

Now, take the cube root of both sides:

r = 5

Step 3: Use the circumference formula to find the circumference of the great circle.
The circumference formula for a circle is C = πd, and since the diameter (d) is twice the radius, we have:

C = π(2r) = π(2 × 5) = 10π

Step 4: Calculate the circumference using 3.14 for π and round to the nearest tenth.
C = 10 × 3.14 ≈ 31.4

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d. Portfolio P has a standard deviation that is less than 25%

This response is accurate because a portfolio made up of two stocks with a correlation of less than one will always have a standard deviation that is lower than the standard deviation of the stocks added in accordance with their weight in the portfolio. For example, in this scenario, both stocks have a weight of 50% and a standard deviation of 25%, so their sum will be.

The portfolio standard deviation will be smaller than 25% since (0.5*25%) + (0.5*25%) = 25%.

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Answer:

a+a-5b-b+2c-c

2a-6b-c

Answer:

2 a − 6 b + c

Step-by-step explanation:

To solve this problem, we can use the standard normal distribution and the Z-score formula to find the probability that a pregnancy will last at least 300 days.

The Z-score is a measure of how many standard deviations a value is from the mean. We can use the Z-score to standardize a value, which means we can express it in terms of how many standard deviations it is from the mean of the distribution.

The Z-score formula is:

Z = (x - μ) / σ

Where x is the value we are standardizing, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

To find the probability that a pregnancy will last at least 300 days, we can use the Z-score formula to standardize 300 days:

Z = (300 - 268) / 15 = 4

This means that 300 days is 4 standard deviations above the mean of 268 days.

To find the probability that a pregnancy will last at least 300 days, we can use a Z-table or a calculator to find the area under the standard normal curve that is greater than or equal to 4 standard deviations.

Using a calculator or a Z-table, we find that the probability that a pregnancy will last at least 300 days is approximately 0.0165, which corresponds to answer choice D: 0.0165.

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

According to the solving To evaluate the given integral, we have used the following two identities:

\(\[\int_{a}^{b} c dx = c(b-a)\]and, \[\int_{a}^{b} x^{n} dx = \left[\frac{x^{n+1}}{n+1}\right]_{a}^{b} = \frac{b^{n+1} - a^{n+1}}{n+1}\]\)

What do we mean by integral?

being, containing, or relating to one or more mathematical integers. (2) : relating to or concerned with mathematical integration or the results of mathematical integration. : formed as a unit with another part. a seat with integral headrest.

The content loaded can help Evaluate

\(\(\int_{-1}^{1} \int_{y^{2}}^{1} \int_{0}^{x+1} x dz dx dy\)\)

The given integral can be expressed as follows:

\(\[\int_{-1}^{1} \int_{y^{2}}^{1} \int_{0}^{x+1} x dz dx dy = \int_{-1}^{1} \int_{y^{2}}^{1} \left(x\int_{0}^{x+1} dz\right) dx dy\]\)

We will evaluate the integral \(\(\int_{0}^{x+1} dz\)\), with respect to \(z\), as given:

\($$\int_{0}^{x+1} dz = \left[z\right]_{0}^{x+1} = (x+1)$$\)

Substitute this into the integral:

\($$\int_{-1}^{1} \int_{y^{2}}^{1} \left(x\int_{0}^{x+1} dz\right) dx dy = \int_{-1}^{1} \int_{y^{2}}^{1} x(x+1) dx dy$$\)

Integrate w.r.t x:

\($$\int_{-1}^{1} \int_{y^{2}}^{1} x(x+1) dx dy = \int_{-1}^{1} \left[\frac{x^{3}}{3} + \frac{x^{2}}{2}\right]_{y^{2}}^{1} dy$$$$= \int_{-1}^{1} \left(\frac{1}{3} - \frac{1}{2} - \frac{y^{6}}{3} + \frac{y^{4}}{2}\right) dy$$$$= \left[\frac{y}{3} - \frac{y^{7}}{21} + \frac{y^{5}}{10}\right]_{-1}^{1} = \frac{16}{35}$$\)

Therefore, the given integral is equal to\(\(\frac{16}{35}\)\).

Note: To evaluate the given integral, we have used the following two identities:

\(\[\int_{a}^{b} c dx = c(b-a)\]and, \[\int_{a}^{b} x^{n} dx = \left[\frac{x^{n+1}}{n+1}\right]_{a}^{b} = \frac{b^{n+1} - a^{n+1}}{n+1}\]\)

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Answer:

x = 15.65 and y = 5√2

Step-by-step explanation:

To get x and y we will use the Pythagoras theorem as shown

hyp^2 = adj^2 + opp^2

x^2 = 14^2+7^2

x^2 = 196 + 49

x^2 = 245

x = √245

x = 15.65

Similarly for y;

y2 = 5^2 + 5^2

y^2 = 25 + 25

y^2 = 50

y = √2*25

y = 5√2

Hence x = 15.65 and y = 5√2

x=7√5 unit and y=5√2 unit is your answer

Step-by-step explanation:

-3x² + 2y² + 5xy -2y + 5x² - 3y²

= -3x² + 5x² +2y² -3y² + 5xy -2y

= 2x² - y² +5xy -2y

2 terms

Answer:

(x - 5)(x - 5)

Step-by-step explanation:

\( {x}^{2} - 10x + 25 \: is \: the \: expansion \\ of \: {(x - 5)}^{2} \\ {(x - 5)}^{2} = (x - 5)(x - 5)\)

The complete factorization of the quadratic expression x² - 10x + 25 is (x - 5)(x - 5). Hence the first option is the right choice.

A quadratic expression of the form ax² + bx + c is factored by using the mid-term factorization method, which suggests that b should be broken in such two components that their product = ac. After this, we can factorize using the grouping method.

In the question, we are asked to factor the quadratic expression x² - 10x + 25 completely.

Comparing x² - 10x + 25 to ax² + bx + c, we get a = 1, b = -10, and c = 25.

To factor the expression we will use the mid-term factorization method, and try to break b in such two numbers whose product = ac.

Now, ac = 1 * 25 = 25. b = -10, which can be broken as -5, and -5.

Therefore, we can write the given expression as:

x² - 10x + 25

= x² - 5x - 5x + 25, mid-term factorization

= x(x - 5) -5(x - 5), grouping

= (x - 5)(x - 5), grouping.

Therefore, the complete factorization of the quadratic expression x² - 10x + 25 is (x - 5)(x - 5). Hence the first option is the right choice.

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The domain of the function in the graph is {yl1≤y≤9}.  Option b is the correct answer.

Graph:

The domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent variables.

A graph is an organized visual representation of any data in mathematics. The relationship between the variable quantities is depicted on the graph. In a graph theory, the set of items that are somehow connected to one another is represented by a graph. The vertices or nodes of the objects are essentially mathematical notions, and the edges between the nodes represent the relationships between the nodes. In mathematics and statistics, there are various types of graphs that are used to visually display data. The study of points and lines is known as graph theory. It is a branch of mathematics that focuses on the investigation of graphs. The mathematical truth is shown visually in this picture. Relationships are studied using graph theory.

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Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

After finding out the value of ln (52) and rounding value it to the nearest ten thousandth, we have the value as 3.9512.

Given logarithm function is ln (52).

We have to find out the value of the logarithm by rounding it to the nearest ten thousandth.

The easiest way to do this is to make use of a calculator where we can put the value of natural log.

After putting ln (52) in the calculator, we have

ln (52) = 3.951243719

In order to round the answer of ln (52) to the nearest ten thousandth, we have to first check if the number after the ten thousandth one is greater than 5 or if it is not.

Here, the ten thousandth number is 2. The number after the ten thousandth one is 4 which is less than 5. So, there will be no increase in the ten thousandth number.

Therefore, rounding the value of ln (52) to the nearest ten thousandth, we have the value as 3.9512.

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The mean of X is y, and the variance of X is also y.

To find the mean and variance of the random variable X, which follows a Poisson distribution with parameter y, we need to use the relationship between the exponential distribution and the Poisson distribution.

Given that Y follows an exponential distribution with parameter λ, we know that the probability density function (PDF) of Y is:

f_Y(y) = λ * e^(-λy) for y ≥ 0

To find the mean of X, denoted as E(X), we can use the property of the exponential distribution that states the mean of an exponential random variable with parameter λ is equal to 1/λ. Therefore, we have:

E(Y) = 1/λ

Now, let's consider X, which follows a Poisson distribution with parameter y. The mean of a Poisson random variable is equal to its parameter. Hence:

E(X) = y

To find the variance of X, denoted as Var(X), we use the relationship between the exponential and Poisson distributions. The variance of an exponential distribution is given by 1/λ^2, and for a Poisson distribution, the variance is equal to its parameter. Therefore:

Var(Y) = (1/λ)^2

Var(X) = y

So, the mean of X is y, and the variance of X is also y.

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Answer:

1: 80 degrees

Step-by-step explanation:

1:

Angle R is 130

Angle S is 60

Quadrilatural's angles add up to 360

360 - 130 - 60 = 170

In my opinion angle U looks like a right angle so 90 degrees.

170 - 90 = 80

so 80 degrees

Answer:

22

Step-by-step explanation:

hope this helps u. if not, then im sorry.

Answer: #The tank holds 80,000 gallons of water when filled to capacity.

Step-by-step explanation:

4/5 - 3/4 = 1/20

The fraction (1/20) represents the 4000 gallons of water.

     1/20 = 4,000

       1    =?                  

then u cross multiply

1*4,000*20/1

= 80,000 gallons of water

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Answer:

1/2

Hope this helps with your question :)

Answer:

75x² + 10x - 2

Step-by-step explanation:

Substitute x = 5x into f(x), that is

f(5x) = 3(5x)² + 2(5x) - 2

       = 3(25x²) + 10x - 2

       = 75x² + 10x - 2

Answer:

there's no picture of the shape but a rectangular shape  maybe

Step-by-step explanation:

if you ask the question again with the picture of the shape attached I will help you

Answer:

shapes that have 4 edges are called quadrilaterals. Quadrilateral shapes include squares, rectangles, trapezoids, rhombus, parallelogram, diamonds, and kites.

Step-by-step explanation:

Answer:

26s-45

Step-by-step explanation:

This is according to a app that tells you the answer to the problem and this is right the app is always right i use it all the time

a. The smallest number of M & M's possible is 14.

b. The number of green is 24.

c. The ratio of green to yellow to red in 6: 15: 25.

a. When there are only green and yellow M & M's in the bag, the smallest number of M & M's possible will be:

= (2 × 2) + (2 × 5)

= 4 + 10

= 14

b. If there are 84 total green and yellow M & M's in the bag, the number of green will be:

= 2 / (2 + 5) × 84

= 2/7 × 84

= 24 green

c. If red M & M's were added to the bag in part b to get a total of 100, the ratio of green to yellow to red in simplest form will be:

= Green : Yello : Red

= 24 : 60 : 100

= 6 : 15 : 25

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1) $10,681.50

2) Yes, he receives a margin call, and $2,000 must be added to his account .

3) Yes, he receives a margin call, and $2,225 must be added to his account.

a)

Assuming Sammy's account is denominated in USD, on the first day after his purchase the value of his corn contracts drops to $10,681.50. His margin account level using 669'4 as the settlement price would be $9,566.25, which is 12% of the value of the contracts.

The initial margin requirement for corn futures traded on the CME is $4,840 per contract, so Sammy would have to post $14,520 in margin to buy three contracts.

If the price of corn drops to 669'4, the value of his contracts would drop to $10,681.50 and his margin account would be level at $9,566.25, which is 12% of the value of the contracts.

If the price of corn drops further, Sammy will begin to experience margin calls and will be required to post additional margin to maintain his position.

If the price of corn drops to 665'0, the value of Sammy's contracts will drop to $10,455 and his margin account will be below the initial margin requirement, at $9,324. Sammy would need to post an additional $1,196 in margin to maintain his position.

If the price of corn continues to drop and Sammy is unable to meet the margin calls, his broker may force him to liquidate his position.

b)

The initial margin requirement for com contracts is 12%. This means that for every contract purchased, Sammy must have at least 12 % of the contract value in his account as collateral.

The value of one com contract is $50,000, so the initial margin required for three contracts is $18,000.

On the first day after Sammy's purchase, the price of corn falls to 669'4. This decreases the value of his contracts to $16,500 each, for a total value of $49,500.

Since this is less than the initial margin of $18,000, Sammy will receive a margin call from his broker. He will be required to add $2,000 to his account to bring it up to the initial margin requirement.

c)

Yes, Sammy will receive a margin call for $2,225.

The initial margin requirement for corn futures on the CME is $2,250 per contract. Sammy has 3 contracts, so his initial margin requirement is $6,750.

The maintenance margin requirement for corn futures on the CME is $1,875 per contract.

The value of Sammy's corn futures contracts has decreased from $673,000 to $659,000, so his account is now below the maintenance margin requirement. Sammy will receive a margin call for $2,225.

Sammy will need to add $2,225 to his account to meet the margin call.

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Answer:

My buddy what's popping??

Step-by-step explanation:

Those coming from the Pest end had to walk round the Castle Hill on the Buda side to be able to proceed northwards. On 10 February 1853, four years after the completion of the Chain Bridge, the building of a tunnel leading through the hill was started to the plans of Adam Clark. On 6 March 1856, the tunnel was opened for foot traffic, and on 30 April 1857 also for motor traffic. Being 350 meters in length, it leads through under the Buda Castle to the other side of the hill. Its length is approximately identical to that of the Chain Bridge, prompting anecdotes according to which the tunnel has only been built so that in rainy weather, the Chain Bridge can be shoved in and be protected from wet conditions. The entry of the tunnel at its Chain Bridge end was also fittingly designed in classicist style.

Answer:

At right is the tunnel entrance that runs through Castle Hill in Budapest, Hungary.-a If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, determine a quadratic model to represent the tunnel-b State a geometric model that could be used to represent a truck passing through the tunnel.

Step-by-step explanation: