Area please I’ll mark brainliest

(a) For y''+4y=sin2t+(2t+1)cos2t+tsint, we need to find a particular solution Y(t) using the method of undetermined coefficients.

Since the right-hand side of the equation contains sin(2t), cos(2t), and tsin(t), we can assume that the particular solution has the form:

Y(t) = A sin(2t) + B cos(2t) + Ct sin(t) + Dt cos(t) + Et + F

where A, B, C, D, E, and F are undetermined coefficients to be determined.

(b) For y''-4y'+4y=t^2(e^(2t)-1), we need to find a particular solution Y(t) using the method of undetermined coefficients. Since the right-hand side of the equation contains t^2e^(2t) and t^2, we can assume that the particular solution has the form:

Y(t) = (At^2 + Bt + C)e^(2t) + Dt^2 + Et + F

where A, B, C, D, E, and F are undetermined coefficients to be determined.

(c) For y''+2y'+2y=3e^(-t)+2e(-t)cos(t)+4(t^2)e^(-t)sin(t), we need to find a particular solution Y(t) using the method of undetermined coefficients. Since the right-hand side of the equation contains e^(-t), e^(-t)cos(t), and t^2e^(-t)sin(t), we can assume that the particular solution has the form:

Y(t) = Ae^(-t) + (Bt + C)e^(-t)cos(t) + (Dt + Et^2) e^(-t)sin(t) + F

where A, B, C, D, E, and F are undetermined coefficients to be determined.

To learn  more about equation visit:

brainly.com/question/10724260

#SPJ11

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

To know more about depreciation, refer here:

https://brainly.com/question/30531944

#SPJ11

The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

learn more about gain here:

https://brainly.com/question/31218742

#SPJ11

Answer: Tim x(x+7)(3x-15)=04x(x+7)=2(x+7)(x-3)2 - x(x - 4) = 5

Step-by-step explanation:

Answer: ok  bet

Step-by-step explanation: theres a picture below and to graph it you simply start with the y coordinate, which is 7. you put 7 on the graph then go down 3 because 3 is negative, then go right one because 1 is postitive. (you get 1 from making the slope into a fraction, -3/1) also remember the formula for this is y=mx+b. its tricky but i hope this helped

Answer:

Macy’s

Step-by-step explanation:

let’s find the cost of each shirt

JCPenny’s: 14.99 x 0.80 = $11.99

                   11.99 x 1.06 = $12.70

                   The final cost of the JCPenny shirt is $12.70

Macy’s: 17.99 x 0.65 = $11.69

             11.69 x 1.07 = $12.51

             The final cost of the Macy’s shirt is $12.51

$12.51 is less than $12.70

So, the Macy’s shirt is the better deal :)

The system of equations is,

y = 2/3(x) and y = (-3/4)x -5.

The correct option is A.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

Two lines are intersecting each other.

Line 1 passes through two points (0, 0) and (3, 2).

The equation of the line is,

y = 2/3(x)

And line 2 passes through (0, -5) and (4, -2).

The equation of the line is,

y = (-3/4)x -5.

Therefore, the equations are y = 2/3(x) and y = (-3/4)x -5.

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ1

In the equation , value of n is 13/3.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here the given statement is  n more than 18 then,

=> n+18

It is equal to seven times the difference of n and three then,

=> n+18 = 7(n-3)

Now simplifying the given equation then

=> n+18= 7n-21

=> 18+21=7n-n

=> 6n=39

=> n = 39/6 = 13/3

Hence the value of n is 13/3.

To learn more about equation refer the below link

https://brainly.com/question/29336774

#SPJ1

The study investigated whether the last name effect influenced the speed at which consumers made purchasing decisions. The researchers compared response times for individuals with last names starting with different letters and analyzed the data to determine if there was a significant difference between the groups.

The researchers conducted a study to examine the last name effect on consumers' decision-making speed when purchasing a product. They hypothesized that individuals with last names starting with letters later in the alphabet would tend to make faster purchase decisions compared to those with last names starting with letters earlier in the alphabet. To investigate this, MBA students were given an opportunity to acquire basketball game tickets, and their response times were recorded along with the first letter of their last names.

The researchers compared the response times between two groups based on the initial letter of the last name: one group with last names starting with letters later in the alphabet and another group with last names starting with letters earlier in the alphabet. By analyzing the data, the researchers aimed to determine if there was a significant difference in response times between the two groups, which would support the existence of the last name effect.

To know more about significant difference, refer to the link below:

https://brainly.com/question/31384937#

#SPJ11

Answer:

$2.50

Step-by-step explanation:

$3.50 * 5 = $17.50

$17.50 - $15.00 = $2.50

Hope this helps

Answer:

3.50 x 5 = 17.50 - 15.00 = 2.50

Step-by-step explanation:

youll save $2.50

Answer:

\(y=\frac{1}{3}x\)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

\(m=\frac{y_2-y_1}{x_2-x_1}\) where two points the line passes through are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (-3,-1) and (6,2)

\(=\frac{2-(-1)}{6-(-3)}\\=\frac{2+1}{6+3}\\=\frac{3}{9}\\=\frac{1}{3}\)

Therefore, the slope of the line is \(\frac{1}{3}\). Plug this into \(y=mx+b\):

\(y=\frac{1}{3}x+b\)

2) Determine the y-intercept (b)

\(y=\frac{1}{3}x+b\)

Plug in one of the given points and solve for b

\(2=\frac{1}{3}(6)+b\\2=2+b\)

Subtract 2 from both sides to isolate b

\(2-2=2+b-2\\0=b\)

Therefore, the y-intercept is equal to 0. Plug this back into \(y=\frac{1}{3}x+b\):

\(y=\frac{1}{3}x+0\\y=\frac{1}{3}x\)

I hope this helps!

Answer:

-2

Step-by-step explanation:

0.9x+2.3x = -6.4

Add the two values of the left side of the equation together

3.2x = -6.4

Divide both sides of the equation by 3.2

x = -6.4 / 3.2

x = -2

Answer:

P(48<x<52) = 0.2881

Step-by-step explanation:

P(48<x<52) = normalcdf(lower,upper,µ,σ) = normalcdf(48,52,48,5) ≈ 0.2881

Therefore, the probability that a data value is between 48 and 52 is 0.2881, or about a 28.81% chance of occurrence.

The transformations are applied in the following order: horizontal translation, horizontal scaling, vertical reflection, and vertical scaling.

The transformations are applied in the following order:

Horizontal translation: The function is shifted 9 units to the right by subtracting 9 from the input variable x.

f(x) → f(x - 9)

Horizontal scaling: The function is compressed horizontally by a factor of 1/3 by dividing the input variable x by 3.

f(x - 9) → f(1/3(x - 9))

Vertical reflection: The function is reflected about the x-axis by multiplying the output values of f by -1.

f(1/3(x - 9)) → -f(1/3(x - 9))

Vertical scaling: The function is stretched vertically by a factor of 8 by multiplying the output values by 8.

-f(1/3(x - 9)) → -8f(1/3(x - 9))

Therefore, the transformations are applied in the following order: horizontal translation, horizontal scaling, vertical reflection, and vertical scaling.

To learn more about transformations

https://brainly.com/question/10904859

#SPJ11

To solve the compound inequality we need to solve each inequality, then we have:

Now we need to remember that the word OR means the union of the solution sets for each inequality then the solution is:

Answer:

It's C

Step-by-step explanation:

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

To learn more about set ,

https://brainly.com/question/30368748

#SPJ4

The key point in the equation log base 13 X = Y is that it represents the logarithmic relationship between the base 13 logarithm of X and the variable Y. The asymptote in this equation is the line Y = 0, which represents the limit or boundary as Y approaches negative or positive infinity.

To find the key point, we need to rearrange the equation to isolate X. Taking the exponentiation of both sides with base 13, we get X = 13^Y. This means that for any given value of Y, X is equal to 13 raised to the power of Y.

To find the asymptote, we can consider the behavior of the equation as Y approaches negative or positive infinity.

As Y approaches negative infinity, the value of X will approach zero, since 13 raised to a very large negative power becomes very small.

As Y approaches positive infinity, the value of X will increase without bound, as 13 raised to a very large positive power becomes very large.

In summary, the key point in the equation log base 13 X = Y is that X is equal to 13 raised to the power of Y. The asymptote is the line Y = 0, representing the limit or boundary as Y approaches negative or positive infinity.

for such more questions on logarithmic

https://brainly.com/question/30193034

#SPJ8

Answer:

x = 7

Step-by-step explanation:

5x - 10 = 25

shift -10 to the other side then -10 become plus 10

5x = 25 + 10

now do addition in right hand side

5x = 35

shift 5 to right hand side . 5 divides 35 because in multiplication when u shift number or variables to other side it changes to division)

x = 35/5

x = 7

The solution to the equation 5x - 10 = 25 is x = 7.

To solve the equation 5x - 10 = 25, we want to isolate the variable 'x' on one side of the equation.

First, we can start by getting rid of the constant term on the left side of the equation. We do this by adding 10 to both sides:

5x - 10 + 10 = 25 + 10

This simplifies to:

5x = 35

Next, we want to isolate 'x' by dividing both sides of the equation by the coefficient of 'x', which is 5:

5x/5 = 35/5

This yields:

x = 7

Therefore, the solution to the equation 5x - 10 = 25 is x = 7. We can verify this by substituting x = 7 back into the original equation:

5(7) - 10 = 25

35 - 10 = 25

25 = 25

Since the equation holds true, we can conclude that x = 7 is the solution.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ6

Answer:

Evan can go on 30 rides   (based on the assumption that Evan's parent gave him $20)

Step-by-step explanation:

Given that:

The admission to the fair  = $5

The cost per ride = $0.50

Let assume that the number of ride Evan can go = x

So if The cost per ride = $0.50

x ride = $0.50x

We are not told that he is given money by anybody, but let assume his parent gave him $20,

Then, if Evan pays $5 for admission into the fair. Then he will have $(20-5) = $15 left

The relation expressing how many rides Evan can go is:

0.5x = 15

Since the cost per ride = $0.5

x rides cost $15/0.5

x = 15/0.5

x = 30

Hence, Evan can go on 30 rides

Answer:

∠CTM = 60

∠MTY = 30

Step-by-step explanation:

Complementary means adds to 90°

2p + p = 90

3p = 90

p=30

2p = 60

Answer: angle CTM-60 and angle MTY=30

Step-by-step explanation:

If two angles are complementary that means added together they are 90.

We can make this equation to solve for p: 2p+p=90

Now we can solve

\(2p+p=90\\3p=90\\\frac{3p}{3} =\frac{90}{3}\\p=30\)

now that we know p is 30 we can sub it in to find the measure of CTM

2(30)

60

Pattern Recognition is defined as the pattern is a number, shape, or something repeated in a particular way. Analysis of patterns should consider on different basis. The correct option is option (d).

The main basis of Pattern Recognition are the following:

1. Color change

2. Shape change

3. Rotation change

4. Size change

we have given three shapes pattern and we have to find out the perfect shape for forth place and the required shape follow the order like others.

After examine the pattern, we can see that the first figure is a filled triangle and the second figure is a hollow circle. This pattern is maintained alternately. The last figure(3rd place) is an open circle, so the next figure is a filled triangle.

So, the correct option is d.

To learn more about pattern recognition, refer:

https://brainly.com/question/1307235

#SPJ4

Answer:

your look hard what grade you in

Step-by-step explanation:

De Morgan's laws state that ~(p∧q) is equivalent to ~p∨~q and ~(p∨q) is equivalent to ~p∧~q. Using this, we can rewrite the second statement ~(p∧q)→r as ~p∨~q→r.

Now, we can compare the two statements:

(~p∨~q)→r  and  ~p∨~q→r

To determine if they are equivalent, we need to see if they have the same truth value for every possible combination of truth values for p, q, and r.

Let's create a truth table to help us:

| p | q | r | ~p | ~q | ~p∨~q | (~p∨~q)→r | ~p∨~q | (~p∨~q)→r |
|---|---|---|----|----|--------|-------------|--------|-------------|
| T | T | T | F  | F  |   T    |      T      |   T    |      T      |
| T | T | F | F  | F  |   T    |      F      |   T    |      F      |
| T | F | T | F  | T  |   T    |      T      |   T    |      T      |
| T | F | F | F  | T  |   T    |      F      |   T    |      F      |
| F | T | T | T  | F  |   T    |      T      |   T    |      T      |
| F | T | F | T  | F  |   T    |      F      |   T    |      F      |
| F | F | T | T  | T  |   T    |      T      |   T    |      T      |
| F | F | F | T  | T  |   T    |      T      |   T    |      T      |

As we can see, both statements have the same truth value for every possible combination of truth values for p, q, and r. Therefore, the two statements are equivalent.

We used De Morgan's laws to rewrite ~(p∧q)→r as ~p∨~q→r, then we compared the two statements using a truth table to see if they have the same truth value for every possible combination of truth values for p, q, and r.

Learn more about truth table here:

brainly.com/question/30588184

#SPJ11

Age, BMI, creatinine, and the amount of time between conception and death are a few examples of quantitative characteristics.

Learn more about quantitative data refer to :

https://brainly.com/question/96076

#SPJ1

Answer:

option A : about 2.8 units

Step-by-step explanation:

To find the distance from P to RQ , Find the distance from ( 1 , 1) to (3 , 3).

 \(Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

                 \(= \sqrt{(3-1)^2 + (3-1)^2}\\\\= \sqrt{2^2 + 2^2 }\\\\= \sqrt{4 + 4 }\\\\= \sqrt{8}\\\\=2\sqrt{2}\)

                 = 2.83 units

Answer:

A

Step-by-step explanation:

Remark

The distance you want is the point P to the (3,3). Then two lines meet as these two do, the shortest distance is the right angle distance. And that is how distance is defined.

Formula

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2  )

Givens

x2 = 1

x1 = 3

y2 = 1

y1 = 3

Solution

d = sqrt( (1 - 3)^2 + (1  - 3)^2 )

d = sqrt( (-2)^2 + (-2)^2 )

d = sqrt ( 4 + 4)

d = sqrt(8)

d = 2√2

d = 2.8

Answer: 7 seats in each row.

Step-by-step explanation:

14 / 2 = 7 seats in each row.

Statement 1 is correct and Statement 2 is not correct.

As A, B and C represent distinct non-zero digits

For least value of x

Let A=1, B=2, C=3

The possible numbers that can be formed using 1,2,3 are 6 {using permutations}

123, 132, 213, 312, 231, 321

x is the sum of all possible 3-digit numbers formed by A, B and C without repetition so

x= 123+ 132+ 213+ 312+ 231+ 321

x=1332

So statement 1 is correct

statement 2 cannot be correct as least value of x is  4-digit so  greatest value of x cannot be a three digit number.

The 4-digit least value of x is 1332 so Statement 1 is correct and Statement cannot be correct.

To know more about permutations:

https://brainly.com/question/12468032

#SPJ4

Answer: y= x+6

Step-by-step explanation:

The slope has to be 1, which means that the growth will be 1. 9-6=3

A rectangular prism has 6 faces, 8 vertices and 12 edges.

What is rectangular prism?

A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces). All the faces of the prism are rectangular in shape. Hence, there are three pairs of identical faces here. Due to its shape, a rectangular prism is also called a cuboid. A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.

If all the faces of the prism are squares then the rectangular prism is a cube. The volume of a rectangular prism is a measure of the space inside the prism.

To learn more about rectangular prism refers to;

https://brainly.com/question/477459

#SPJ4