Divide the sum of -8/7 and 5/14 by the product

The particular solution to the differential equation \(4\frac{d^2y}{dt^2} + 5\frac{dy}{dt} +3y=e^{4it}\) is given by \(g(t) = \frac{1}{-61+20i} e^{4it}\).

An equation involving one or more functions and their derivatives is referred to as a differential equation. The rate of change of a function at a place is determined by the derivatives of the function. It is mostly employed in disciplines like physics, engineering, biology, and others. Studying equation-satisfying solutions and the solutions' characteristics is the main goal of differential equations.

The solution of a differential equation is a function that fulfils the specified differential equation. A generic solution is one that has as many arbitrary constants as the order of the differential equation. A specific solution is the one devoid of arbitrary constants. 

\(4\frac{d^2y}{dt^2} + 5\frac{dy}{dt} +3y=e^{4it}\)

(4D² + 5D + 3) y = \(e^{4it}\)

Using the particular solution,

\(g(t) = \frac{1}{f(D)} e^{at}\)

we have,

f(D) = (4D² + 5D + 3)

therefore,

\(g(t) = \frac{1}{4(4i)^2+5(4i)+3} e^{at}\\\\= \frac{1}{-64+20i+3} e^{at}\\\\g(t) = \frac{1}{-61+20i} e^{4it}\)

Therefore, the particular equation is : \(g(t) = \frac{1}{-61+20i} e^{4it}\).

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Complete question:

Find a particular solution Find a particular solution to the differential equation dạy  4d^2y/dt^2 +5 dy/dt + 3y = e^4it In the form y = Ae^4it, where A is a complex constant. Here i = -1 is the square root of -1. g(t) =

Answer:

- 5 (x = 1)

Step-by-step explanation:

When x equals 1, it fits in the piece where x < 3. The equation for that interval is -x - 4. We can substitute 1 into that equation to get:

- 1 - 4

- 5

Answer:

\(10\sqrt{2}\)

Step-by-step explanation:

\(\sin 45^{\circ}=\frac{y}{10\sqrt{2}},\\y=10\sqrt{2}\sin45^{\circ}=10\sqrt{2}\cdot\frac{\sqrt{2}}{2}=\frac{10\cdot 2}{2}=\boxed{10}\)

Answer:

its C  (Species diversity)

Step-by-step explanation:

Answer:

Ello Haikyuu here!

Step-by-step explanation:

Inequalities on a number line. Inequalities can be represented on a number line as shown in the inequalities below: Note: the open circle above a number means it is not included as part of the solution to the inequality while the solid circle means that it is.

uh I hope this is right, i'm not sure

but here ya go! :3

Answer:

3 m*45 this is what they thought me in middle school

Answer:

Thats A radical number

Step-by-step explanation:

Since its. Sqare root with a never ending decimal (not perfect)

Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt（19）/2+9*（6-sqrt（19））/2=99    (cm^2)

The quadrilateral that is described with the given properties is known as; Rhombus

A quadrilateral is defined as a closed shape and a type of polygon that has four sides, four vertices and four angles.

Now, we are told that at least  at least two pairs of consecutive sides are congruent, diagonals are perpendicular to one another.

The only quadrilaterals that fit into thus definition are square and rhombus.

Now, we are told that the quadrilateral cannot be inscribed in a circle. A square can be inscribed in a circle but not a rhombus and as such we can say that the quadrilateral with the given properties is a rhombus,

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Answer:

58.480766068854

Step-by-step explanation:

hope it will help you

PCA (Principal Component Analysis) is an unsupervised learning technique used to reduce dimensionality. It is a commonly used dimensionality reduction technique. This technique is used to discover patterns in data that have multiple features. PCA is used to reduce the dimensionality of data.

Compute the mean of each feature. For every feature, compute the mean μ=1/nΣxi where n is the number of data points and xi is the feature vector. Calculate the covariance matrix compute the covariance matrix from the mean-adjusted data: X=X−μ,Covariance matrix: C=1/nXTX where X is the mean-adjusted data matrix.

Now find the eigenvectors and eigenvalues of the covariance matrix. Sort the eigenvectors in order of decreasing eigenvalues. These eigenvectors represent the principal components. The first eigenvector represents the direction of the maximum variance.

Create the projection matrix. Only the top k principal components are used for dimensionality reduction. The projection matrix can be computed by stacking the eigenvectors of the top k principal components: W=[u1u2…uk]where ui represents the eigenvector.

Project the data onto the lower-dimensional subspace. The original data can be projected onto the lower-dimensional subspace using the projection matrix: Z=X×WPCA is a commonly used dimensionality reduction technique that involves computing the principal components of a dataset. This technique can be used to find the most important patterns in the data.

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Answer:

NEED:

WANT:

Step-by-step explanation:

Right on Plato! <3

Have a wonderful day!

The needs listed are tuition and fees and staple foods, while the wants are a vacation, a Lamborghini, and a lavish wedding.

The listed needs and wants reflect different aspects of a person's life and priorities. "Tuition and Fees" and "Staple Foods" are necessities that are essential for a person's survival and well-being.

On the other hand, "Vacation," "Lamborghini," and "Lavish Wedding" are desires that are often seen as luxury items or experiences. While having wants is normal and human, it is important to understand that not all wants can be fulfilled, and it is equally important to prioritize needs over wants. Having a balanced approach to spending, budgeting, and financial planning can help ensure that both needs and wants can be met in a sustainable manner.

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A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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Answer:

Pyramid A had a lateral area of 100 and Pyramid B has a Lateral area of 225

so 100:225 or 4:9, due to the fact that both have square bases just muliply the lateral edge by itself

Step-by-step explanation:

lamo thought it said terrorists

Answer:

if youre talking about line OA, it is

x - 2y =0

Answer:

£ \(36\)

Step-by-step explanation:

In this situation, the price of an item is (£ \(45\)). It is given that there is a (\(\frac{1}{5}\)) off discount on this item. To find the price of this item, one will have to subtract the discount rate from (1), this will yield the fraction of the object price that one has to pay. To find the actual amount one has to pay, one must multiply the fractional price of the object by the original price of the object. Using this line of thought, one can form the following equation:

\((1-(rate\ of\ discount))(original\ price)=sale\ price\)

Substitute the given values into this equation:

\((1-\frac{1}{5})(45)=sale\ price\)

Simplify: remember, a fraction with any number over itself equals (1). Bear in mind that one can only perform operations such as addition and subtraction between fractions with common denominators, that is the number under the fraction bar.

\((1-\frac{1}{5})(45)=sale\ price\)

\((\frac{5}{5}-\frac{1}{5})(45)=sale\ price\)

\((\frac{5-1}{5})(45)=sale\ price\)

\((\frac{4}{5})(45)=sale\ price\)

Now perform the multiplication. Divide the denominator by the number one is multiplying by, then multiply it by the numerator (number over the fraction bar).

\((\frac{4}{5})(45)=sale\ price\)

\((4)(45 / 5)=sale\ price\)

\((4)(9)=sale\ price\)

\(36=sale\ price\)

Answer:

The answer is 36$

Step-by-step explanation:

Basically, the original price is 45 dollars, but with the extra 20% off (This is just the 1/5 off) it will be 36. This is because 45/5 equals 9 and 45-9 is 36.

Answer:

-8, 6, 0, 19/8, 4.35, 7/4 all of them

Step-by-step explanation:

hope this helps! :)

Answer:220

Step-by-step explanation:88/4=22 x 10= 220

The volume of a cube if the diagonal of one side is 50cm is approximately 48112.52 cubic centimeters.

Let s represent the width of the cube's sides, and d represent the width of one side's perpendicular. The Pythagorean formula can be used to connect s and d:

d**2 = s**2 + s**2 + s**2 = 3s**2

To solve for s, we obtain:

S = d/Sqrt(3)

Given a cube with edge lengths s, the volume V is equal to:

V = s**3

Inputting the word in place of s gives us:

V = (d / sqrt(3))**3 = d**3 / (3*sqrt(3))

Now we can change d to 50 centimetres to obtain the cube's volume:

V = 50**3 / (3*sqrt(3)) = 48112.52 cubic centimeters

As a result, the cube's capacity is roughly 48112.52 cubic centimetres.

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The probability of the arrow landing on an odd number is the number of odd numbers divided by the total number of possible outcomes. Therefore, the probability of the arrow landing on an odd number is  0.5 or 50%.


To find the probability that the arrow will point at an odd number on a circular board with 8 equal parts, we'll first determine the total number of odd numbers present and then divide that by the total number of possible outcomes.

Step 1: Identify the odd numbers on the board. They are 1, 3, 5, and 7. The game consists of spinning the arrow on a circular board with 8 equal parts, which means there are 8 possible outcomes or numbers. Since we want to know the probability of landing on an odd number, we need to count how many odd numbers are on the board. In this case, there are four odd numbers: 1, 3, 5, and 7.

Step 2: Count the total number of odd numbers. There are 4 odd numbers.

Step 3: Count the total number of possible outcomes. Since the board is divided into 8 equal parts, there are 8 possible outcomes.

Step 4: Calculate the probability. The probability of the arrow pointing at an odd number is the number of odd numbers divided by the total number of possible outcomes.

Probability = (Number of odd numbers) / (Total number of possible outcomes)
Probability of landing on an odd number = Number of odd numbers / Total number of possible outcomes
Probability of landing on an odd number = 4 / 8

Step 5: Simplify the fraction. The probability of the arrow pointing at an odd number is 1/2 or 50%.

So, the probability that the arrow will point at an odd number is 1/2 or 50%.

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Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:

X=75 Bottom is 75, right is 105, up is 70, left is 110.

Step-by-step explanation:

4.4x+30=360

4.4x=330

x=75

Answer: 20 000 000

(the first value is two because the one after the second one (9) is greater than 5 therefore you should add 1 to the the number in front)

Therefore , the solution of the given problem of function comes out to be  f(g(4)) = 66.

The midterm examination will have questions on each subject, mathematics, variable design, and both real and imagined locations. a list of the relationships between different elements that collaborate to create the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input. Each postbox also has a distinct address, which may be an enclave.

Here,

a) We must multiply f(x) and g(x) in order to obtain f(x)  g(x):

=>  f(x) · g(x) = (-2x+ 4)

The formula is

=> (-6x - 7) = 12x² + 14x - 24x - 28 = 12x² - 10x - 28.

As a result,

=>  12x² - 10x - 28 is what f(x)  g(x) equals.

b) We must first determine g(4) in order to obtain f(g(4)):

=> g(4) = -6(4) - 7

=>    -31

We can now change g(4) to f(x) as follows:

=> f(g(4)) = f(-31)

=>   -2(-31) + 4

=>  62 + 4

Consequently, f(g(4)) = 66.

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Answer:

Step-by-step explanation:

Solving exponents

The total pounds of hamburger meat purchased by Sara is equal to 3 and 33/40 pounds in mixed number from.

Weight of one package of hamburger meat =2 and 3/8 pounds

Weight of second package of hamburger meat = 1 and 1/5 pounds

Weight of second package of hamburger meat = 1/4 pounds.

Converting the mixed numbers to improper fractions,

2 and 3/8 = 19/8

1 and 1/5 = 6/5

The total amount of hamburger meat that Sara purchased, add the weights of the three packages is equal to

2 and 3/8 + 1 and 1/5 + 1/4

= 19/8 + 6/5 + 1/4

To add these fractions and mixed numbers,

Convert them to a common denominator.

The least common multiple of 8, 5, and 4 is 40.

Now, rewrite the expression with the common denominator of 40,

= (19/8) × 5/5 + (6/5) × 8/8 + (1/4) × 10/10

= 95/40 + 48 / 40 + 10/40

= ( 95 + 48 + 10 ) / 40

=153/40

Simplifying this fraction to a mixed number, we get,

3 and 33/40 pounds

Therefore, Sara purchased a total of 3 and 33/40 pounds of hamburger meat.

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