SOMEONE PLEASE HELP WITH ALL OF THESE!! ITS DUE BY TMR!! PLEASE HELP!!! TYSMM

For the first differential equation, the solution requires numerical or approximate methods. In the second equation, the particular solution is s_p = (1/3)e^(2t).



To solve the differential equation dv/dθ = V cot(θ) + v^3 csc(θ), we can use separation of variables. Rearranging the terms, we have dv/(V cot(θ) + v^3 csc(θ)) = dθ. Integrating both sides, we get ∫dv/(V cot(θ) + v^3 csc(θ)) = ∫dθ. This integral is not straightforward to solve analytically, so numerical or approximate methods may be necessary to find a solution.

For the second question, to find the particular solution of d²s/dt² - 6(ds/dt) + 8s = 4e^(2t), we assume a particular solution of the form s_p = Ae^(2t), where A is a constant to be determined. Taking the first and second derivatives of s_p and substituting them into the differential equation, we find that 16Ae^(2t) - 12Ae^(2t) + 8Ae^(2t) = 4e^(2t). Simplifying, we have 12Ae^(2t) = 4e^(2t), which gives A = 1/3. Therefore, the particular solution is s_p = (1/3)e^(2t).

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Answer:

I think it is $18.65 sorry if wrong

Answer:

Option B  (4/9)

Step-by-step explanation:

Probability is the number of outcomes that you would want to happen over the number of all outcomes that are possible. On each dice, there are 4 numbers less than five. Now we need to find all possible combinations of these numbers and we do that by mulitply 4 x 4.

4 x 4 = 16

Now we just find the number of all possible outcomes and that would be...

6 x 6 = 36

Now 16 over 36 will be...

16/36 = 4/9

Given,

\( \: \)

To Find,

\( \: \)

Solution :

First of all, we'll find the circumference of the circle :

\(\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_{(circle)} = 2 \pi r}}}}}} \: \: \bigstar \\ \\\)

Now, we'll substitute the required values in the formula :

\(\\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times 3.14 \times 3.5}}} \: \: \\ \\\)

\( { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 3.14 \times 7}}} \: \: \\ \\\)

\( { \longrightarrow \qquad{ \sf{ \pmb{ \: Circumference_{(circle)} = 21.98}}}} \: \: \\ \\\)

Therefore,

\( \: \)

Now, we'll find the area of the circle :

\(\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Area_{(circle)} = \pi r^2}}}}}} \: \: \bigstar \\ \\\)

\({ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times (3.5)}^{2} }}}}}} \: \: \\ \\\)

\({ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times 3.5 \times 3.5 }}}}}}} \: \: \\ \\\)

\({ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times 12 .25 }}}}}} \: \: \\ \\\)

\({ \longrightarrow \qquad{ {{\pmb { \sf{ \: \: Area_{(circle)} = 38.465 }}}}}} \: \: \\ \\\)

Therefore,

Answer:

a

Step-by-step explanation:

Answer:

Netflix costs 9 dollars a month

Step-by-step explanation:

the difference in balance between 2 months and 6 moths is 36 dollars. That is a 4 month period. 36/4=9

Given:

The point is rotated at 272 degrees clockwise.

To find:

The smallest positive counterclockwise rotation for the given clockwise rotation.

Step-by-step explanation:

Clockwise rotation = 272°

We need to subtract the given clockwise rotation from 360° to get the smallest positive counterclockwise rotation, because one complete circle is 360°.

Counterclockwise rotation = 360° - Clockwise rotation

                                            = 360° - 272°

                                            = 88°

Therefore, the smallest positive counterclockwise rotation is 88°.

Answer:

C: 16 is a constant

B:3

A: 4

Answer: C: 16 is a constant

B:3

A: 4

Step-by-step explanation:

The correct description that defines the prism square is option B: "Is another hand instrument that is also used to determine or set out right angles."

A prism square is a tool used in construction and woodworking to establish or verify right angles. It consists of a triangular-shaped body with a 90-degree angle and two perpendicular sides. The edges of the prism square are straight and typically have measurement markings. It is commonly used in carpentry, masonry, and other trades where precise right angles are essential for accurate and square construction. Option A describes a different tool involving mirrors set at an angle, which is not related to the prism square. Option C refers to a different instrument used for measuring slopes and is not directly related to the prism square.

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With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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Answer:

N = 34

Step-by-step explanation:

METHOD I

(hit and trial)

The given two ratios have to be equal.

This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.

The common factor here is 2.

Since,

12 × 2 = 24

17 × 2 = 34

\( \boxed{\mathsf{ \underline{N \: must \: be \: 34}}}\)

(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).

METHOD II

(mathematical approach)

Ratios can be written in form of fractions as:

\( \boxed{ \mathsf{ \frac{24}{N} = \frac{12}{17} }}\)

Cross multiplying:

\( \implies \mathsf{24 \times 17 = 12 \times N }\)

taking 12 to the denominator:

\( \implies \mathsf{ \frac{24 \times 17 }{12} = N }\)

24 and 12 gets canceled and 2 takes up their spot

(why?

=> 24 ÷ 12 = 2)

\( \implies \mathsf{2 \times 17 = N } \)

\( \implies \mathsf{2 \times 17 = N } \)

\( \implies \mathsf{ N = 34 } \)

\( \implies \mathsf{ N = 34} \)

The total number of seating arrangements George can make, if rotations and reflections of each seating arrangement are not considered different, is 72.

George is planning a dinner party for three other couples, his wife, and himself. He plans to seat the four couples around a circular table for, and wants each husband to be seated opposite his wife. Let us determine the number of seating arrangements he can make, considering the reflections and rotations of each seating arrangement not considered different. Each husband has two possibilities for a seat: one next to his wife or across from her. Since there are four couples, this is the same as placing two black and two white balls in a circle. There are 3! ways to arrange the black balls and 3! ways to arrange the white balls.

We must also account for the ways in which black and white balls may be interchanged. There are two possibilities: black balls may be placed together and white balls may be placed together. Using the permutation formula, we can find that there are:(3! × 3!) + (3 × 3!) = 72 total arrangements. This is because there are three ways in which black balls may be placed together, and there are three ways in which white balls may be placed together. Hence, there are 3! × 3! ways to arrange the couples when they are seated opposite each other.

And there are 3 × 3! ways to arrange them when they are seated next to each other.The total number of seating arrangements George can make, if rotations and reflections of each seating arrangement are not considered different, is 72.

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Answer:

Solution: (-1, 1) and (10/3, 16/3) are Intercepts.

Step-by-step explanation:

Set the equations equal to themselves and solve for x and y.

Hope this helps! :)

Answer:

11

Step-by-step explanation:

answer is just is 11

The most horizontal line is straight so it equal 180°. You know that one side (lower left section) is 67° meaning the other side is 180° - 67° = 113° (lower right side).

The most vertical line is straight so it equal 180°. You know that one side (lower right side) is 113°. The entire right side you have: 113°, 42°, and f.

f =  180° - (113° + 42°)

f = 25°

Answer:25 deegrees

Step-by-step explanation:

Answer:

unbiased nonrandom

Step-by-step explanation:

By picking only people from 1st period they are not random.

They haven't said anything that would make these people biased.

Answer:

unbiased nonrandom

Step-by-step explanation:

The responses that must be included are the population is all high school students, the sample contains freshmen, sophomores, juniors, and seniors, and the sample is representative of students in the entire high school.

Hence, options A, B, and D are correct.

To ensure that a sample is representative of the population, it must be selected in a way that accurately reflects the characteristics of the population. In this case, the population is all high school students in the town, and the possible sample includes an equal number of students from each grade level - freshman, sophomores, juniors, and seniors.

This is a good approach to ensure that the sample is representative of the entire population, as it captures the diversity of the population by including students from each grade level. Additionally, by having an equal number of students from each grade level, the sample is not biased towards any particular group.

It is also important to ensure that the sample is not too small, as a small sample size may not accurately reflect the characteristics of the entire population. Finally, if the sample is truly representative of the entire high school, any conclusions drawn from the sample should be applicable to the population as a whole.

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The result for the given normal random variables are as follows;

a. E(3X + 2Y) = 18

b. V(3X + 2Y) = 77

c. P(3X + 2Y < 18) = 0.5

d. P(3X + 2Y < 28) = 0.8729

Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Now, according to the question;

The given normal random variables are;

E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.

Part a.

Consider E(3X + 2Y)

\(\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}\)

Part b.

Consider V(3X + 2Y)

\(\begin{aligned}V(3 X+2 Y) &=3^{2} V(X)+2^{2} V(Y) \\&=(9)(5)+(4)(8) \\&=77\end{aligned}\)

Part c.

Consider P(3X + 2Y < 18)

A normal random variable is also linear combination of two independent normal random variables.

\(3 X+2 Y \sim N(18,77)\)

Thus,

\(P(3 X+2 Y < 18)=0.5\)

Part d.

Consider P(3X + 2Y < 28)

\(Z=\frac{(3 X+2 Y-18)}{\sqrt{77}}\)

\(\begin{aligned} P(3X + 2Y < 28)&=P\left(\frac{3 X+2 Y-18}{\sqrt{77}} < \frac{28-18}{\sqrt{77}}\right) \\&=P(Z < 1.14) \\&=0.8729\end{aligned}\)

Therefore, the values for the given normal random variables are found.

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The correct question is-

X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8. Determine the following:

a. E(3X + 2Y)

b. V(3X + 2Y)

c. P(3X + 2Y < 18)

d. P(3X + 2Y < 28)

Components of PQ:
PQ = Q - P
= (5, -8) - (-7, -4)
= (5+7, -8+4)
= (12, -4)
So the components of PQ are (12, -4).

Point P:
We know that the components of PR are (3,0). Let's call the components of P as (x,y). Then,
PR = R - P = (3,-4) - (x,y)

                = (3-x, -4-y)
So we need to find x and y such that (3-x, -4-y) has components (3,0). This gives us two equations:
3-x = 3
-4-y = 0

Solving these, we get x = 0 and y = -4.

So the point P is (0,-4).

Unit vector opposite to v:
The length of v is √((-1)^2 + 4^2) = √17.

So the unit vector in the direction opposite to v is (-1/√17, -4/√17).

Vector of length 2 making an angle of 60° with the x-axis:
Let's call the vector we need as v.

We know that the angle between the v and the x-axis is 60°.

So the angle between v and the y-axis is 90° - 60° = 30°.

Let's call the components of v as (x,y). Then,
tan(60°) = y/x
√3 = y/x
y = √3x

Also,
tan(30°) = x/y
1/√3 = x/y
x = y/√3

Substituting y = √3x in the second equation, we get

x = 2/√3 and y = 2.

So the vector we need is (2/√3, 2).

Components and length of given vectors:

-li + 5j
Components: (-1, 5)
Length: √((-1)^2 + 5^2) = √26

li - 4j
Components: (1, -4)
Length: √(1^2 + (-4)^2) = √17

-5i + 5j
Components: (-5, 5)
Length: √((-5)^2 + 5^2) = √50 = 5√2

-li +2j
Components: (-1, 2)
Length: √((-1)^2 + 2^2) = √5

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The major benefit of enterprise application integration (EAI) is that it allows different applications and systems within an organization to seamlessly communicate and share data.

This integration eliminates data silos and enables real-time data exchange, leading to improved efficiency, productivity, and decision-making within the organization.

By implementing EAI, businesses can achieve the following benefits:

1. Enhanced Data Accuracy and Consistency: EAI ensures that data is synchronized and consistent across different systems, eliminating the need for manual data entry and reducing the risk of errors or discrepancies.

2. Increased Efficiency and Productivity: EAI automates the flow of information between applications, reducing the need for manual intervention and streamlining business processes.

This leads to improved efficiency and productivity as employees spend less time on repetitive tasks.

3. Improved Decision-Making: EAI provides a unified view of data from various systems, enabling better analysis and decision-making. Decision-makers have access to real-time and accurate information, allowing them to make informed and timely decisions.

4. Cost Savings: By integrating existing applications instead of developing new ones from scratch, EAI can help businesses save costs. It reduces the need for duplicate systems, minimizes data duplication, and optimizes IT infrastructure.

5. Scalability and Flexibility: EAI allows organizations to easily integrate new applications or systems as their needs evolve. It provides a flexible framework that can accommodate future growth and changes in business requirements.

Overall, the major benefit of enterprise application integration is the ability to achieve seamless connectivity and data exchange between systems, leading to improved efficiency, productivity, and decision-making in an organization.

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Based on the triangle sum theorem, the value of x is: 45.

The Triangle Sum Theorem states that in any triangle, the sum of the measures of the interior angles is always equal to 180 degrees. This is true for all triangles, regardless of their size or shape.

The theorem can be proven using Euclidean geometry, which states that the sum of the angles in a triangle is always 180 degrees. This theorem is also known as the "angle sum property" of a triangle.

Therefore:

2x + 10 + 30 + 50 = 180 (based on the triangle sum theorem).

Combine like terms:

2x + 90 = 180

2x = 180 - 90

2x = 90

2x/2 = 90/2

x = 45.

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The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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The appropriate answer is B: There's not enough evidence to decide whether the distribution is skewed or roughly symmetric.

a. The quartiles divide the data into four equal parts. Q1 (the first quartile) is the median of the lower half of the data, Q3 (the third quartile) is the median of the upper half of the data. In this case, Q1 is 71 pounds, which means that 25% of the high school female athletes had a maximum bench press less than or equal to 71 pounds. Q3 is 91 pounds, indicating that 75% of the athletes had a maximum bench press less than or equal to 91 pounds.

b. Based on the given information, we can make an educated guess about the distribution's symmetry. The median (81 pounds) is equal to the mean, which suggests a roughly symmetric distribution. Additionally, the values of Q1 (71 pounds) and Q3 (91 pounds) are symmetrically distributed around the median. However, without additional information or a graphical representation of the data, we cannot definitively determine the distribution's skewness.

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The percentage by which the median earnings of college degree exceed that of high school degreed for 1973 for men is 17.9%

College: Women= 4400

H.School: Women = 3300

Solving we have

The base number is the high  school women.

The difference is 4400 - 3300 = 1100

So the % = (1100/3300) * 100% = 33.3%

1973

The base number is again high school 5600

Difference: 6600 - 5600 = 1000

% = (1000/5600) * 100% = 17.9

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See the aattached image.

Answer:

u = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

5u + 11 = 56

Step 2: Solve for u

Answer:

u = 9

Step-by-step explanation:

5u + 11 = 56

Subtract 11 from each side.

5u + 11 - 11 = 56 - 11

Simplify.

5u = 45

Divide each side by 5.

5u ÷ 5 = 45 ÷ 5

Simplify.

u = 9

Diameter = 120m

Circumference = (120 · π) m

(40 min) / (30 min/rotation)  =  4/3 rotation

Passenger travel = (4/3) · (120π)  =  160π meters  =  502.7 meters

One car travel South at 64 mi/h and the other travels west at 48 mi/h. The distance between the cars increases with rate at 80 mi/h.

To find the rate of change, we need to find the derivative of the variables with respect to time.

Let:

p = distance between 2 cars

q = distance between car 1 and the start point

r = distance between car 2 and the start point

Using the Pythagorean Theorem:

p² = q² + r²

Take the derivative with respect to time:

2p dp/dt = 2q dq/dt + 2r dr/dt

dq/dt = speed of car 1 = 64 mi/h

dr/dt = speed of car 2 = 48 mi/h

The distance of car 1 and car 2 from the start point after 4 hours:

q = 64 x 4 = 256 miles

r = 48 x 4 = 192 miles

Using the Pythagorean theorem:

p² =256² + 192²

p = 320 miles

Hence,

2p dp/dt = 2q dq/dt + 2r dr/dt

p dp/dt = q dq/dt + r dr/dt

320  x dp/dt = 256 x 64 + 192  x 48

dp/dt = 80

Hence, the distance between the cars increases with rate at 80 mi/h

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Answer:

T ≥ 8x

50 ≥ 8x .......1

x ≤ 6

Liam can buy lunch for 6 people.

Step-by-step explanation:

Let x represent the number of people Liam can buy lunch for.

Given;

Lunch cost per person r = $8 per person

The total amount he has T = $50

The cost of buying lunch for c people is;

C = $8 × x

C = 8x

Therefore, to be able to buy lunch for them, the total cost C must be less than the total amount he has.

T ≥ C

Substituting C, we have;

T ≥ 8x

50 ≥ 8x ,.......1

Solving the inequalities;

8x ≤ 50

x ≤ 50/8

x ≤ 6.25

To the nearest whole number;

x ≤ 6

Liam can buy lunch for 6 people.