The Laplace transform X(s) of the solution 3(t) of the initial value problem 2ac" + 3t • x = 0 = with x(0) = -1, x'(0) = -2 - = satisfies a linear first-order differential equation that can be obtained by applying the Laplace transform to the ODE of the initial value problem. Determine the functions p and qof s such that the first-order differential equation is of the form X'(s) + P(s) · X(s) =q(s) . = p(s) = = q(s) = = standard function logis vector abs

Step-by-step explanation:

3 units right = x + 3

12 units down = y - 12

E = (-5, 4) -> E' (-2, -8)

F = (-5, 9) -> F' (-2, -3)

G = (1, 9) -> G' (4, -3)

H = (1, 4) -> G' (4, -8)

Answer:

Step-by-step explanation:

ur mom

Raw data can be calculated by using mathematical operations such as addition, subtraction, multiplication, and division.

This can be done manually or by using a calculator or a computer program .Additionally, statistical methods such as mean, median, mode, and standard deviation can be used to calculate raw data.Raw data can also be manipulated in various ways. For example, data can be sorted, filtered, and organized into categories or hierarchies. Data can also be visualized in graphs, charts, and diagrams to make patterns and trends easier to identify. Statistical methods such as correlation and regression can also be used to analyze and interpret raw data. Additionally, data can be combined with other data sets to create new insights and relationships. Finally, machine learning and predictive analytics can be used to make predictions about future outcomes based on existing data.

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Answer:

a). x = 12

b). m∠H = 90°

    m∠I = 58°

    m∠J = 62°

Step-by-step explanation:

a). Use the property of a triangle,

  " Sum of all the angles in a triangle is 180°"

  (2x + 34)° + (4x + 14)° = 180°

  (2x + 4x) + (34 + 14) = 180

  6x + 48 = 180

  6x = 180 - 48

  6x = 132

   x = \(\frac{132}{6}\)

   x = 12

b). m∠H = 90° [Given]

   m∠I = (2x + 34)° = [(2 × 12) + 34]°

   m∠I = 58°

   m∠J = (4x + 14)° = [(4 × 12) + 14]°

  m∠J = 62°

7/11 or 21/33 (higher term)

hope this helped

The number of people who will be infected in 6 days, given the computer model on the rate of the spread of the virus is 1,299 people

The computer model predicts that the virus will spread and infect people at a rate of 10% every day. This is based on the 733 people currently infected.

In 6 days therefore, the number that would be infected is:

= Number of people currently infected x ( 1 + rate of infection) ^ number of days

= 733 x (1 + 10%)⁶

= 733x 1.10⁶

= 1,299 people

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The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Answer:

The answer is B

Step-by-step explanation:

it just is

The declaration states that the value of Arc EFC = 253°.

A measure is indeed a quantitative concept used to express how large a collection is. Each unique measure represents a different method for determining how large a collection is. It would initially appear that a set's cardinality is the only logical way to determine its number.

We can tell we are working with a circular that has 360 degrees because of the connection.

We can infer that we have it if we look at that file.

Arc EFC

Arc CD

Arc DE

And everything together give us 360,

Arc EFC + Arc CD + Arc DE = 360

If we examine the figure again, we can see that the central angle of an intercepted arc is identical to the arc's measure.

Arc CD is 90 degrees since the central angle is 90 degrees given

Arc DE is 17 degrees

Arc EFC + Arc CD + Arc DE = 360

If we input all the figures

Arc EFC + 90 + 17 = 360

Arc EFC + 107 = 360

Arc EFC = 360 - 107

Arc EFC = 253

Therefore, Arc EFC = 253°

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The correct questions is:

Circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°

Answer:

Rewrite the expression using the negative exponent rule   [text]{b}^{-n } = 1/bn

Step-by-step explanation:

1/y^3

The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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Answer:

121

Step-by-step explanation:

Given

f(x) = - (x + 8)(x - 14) ← expand factors using FOIL

     = - (x² - 6x - 112) ← distribute by - 1

     = - x² + 6x + 112

Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

\(x_{vertex}\) = - \(\frac{b}{2a}\)

f(x) = - x² + 6x + 112 ← is in standard form

with a = - 1 and b = 6, thus

\(x_{vertex}\) = - \(\frac{6}{-2}\) = 3

Substitute x = 3 into f(x) for corresponding value of y

f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121

vertex = (3, 121 ) ← with y = 121

Answer:

D. 121

Step-by-step explanation:

B) generally accepted accounting principles.

Generally Accepted Accounting Principles (GAAP) refers to the common set of accounting standards and procedures that are widely recognized and followed in the field of financial accounting.

GAAP provides a framework for recording, reporting, and analyzing financial transactions and helps ensure consistency, comparability, and transparency in financial statements.

These principles are developed and maintained by accounting standard-setting bodies and regulatory authorities to promote accuracy, reliability, and integrity in financial reporting.

Adhering to GAAP is important for organizations to provide reliable and meaningful financial information to investors, creditors, and other stakeholders.

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The differentiations of the given functions is i. f'(x) = 18x⁵ + 2, ii. h'(x) = 4(x³ + 1)³(x⁴ + 3)²(3x²) + (x³ + 1)⁴(4x³ + 9), iii. h'(x) = 4(x³ + 1)³(x⁴ + 3)²(3x²) + (x³ + 1)⁴(4x³ + 9), iv.  I'(x) = 5[(4x - 3) / (2x - 1)]⁴(4 / (2x - 1)) - [(4x - 3) / (2x - 1)]⁵[4 / (2x - 1)], v.  (20x⁵ / 3)(2x⁶ + 1)⁴

Differentiation of given functions is explained below:

i) f(x) = 3x⁶ - 2² + 2x + 6

Differentiating w.r.t. x, we get:

f'(x) = 18x⁵ + 2

ii) g(x) = (2√7)⁸

Differentiating w.r.t. x, we get:

g'(x) = 0

iii) h(x) = (x³ + 1)⁴(x⁴ + 3)³

Differentiating w.r.t. x, we get:

h'(x) = 4(x³ + 1)³(x⁴ + 3)²(3x²) + (x³ + 1)⁴(4x³ + 9)

iv) I(x) = [(4x - 3) / (2x - 1)]⁵

Differentiating w.r.t. x, we get:

I'(x) = 5[(4x - 3) / (2x - 1)]⁴(4 / (2x - 1)) - [(4x - 3) / (2x - 1)]⁵[4 / (2x - 1)]

v) w(x) = [(2x⁶ + 1) / 3]⁵

Differentiating w.r.t. x, we get:

w'(x) = 5[(2x⁶ + 1) / 3]⁴[(12x⁵) / 3]

= (20x⁵ / 3)(2x⁶ + 1)⁴

Hence, the differentiations of the given functions is (20x⁵ / 3)(2x⁶ + 1)⁴

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Answer:

n=7 and p=2

Step-by-step explanation:

Graph is not given,

we have n=2p+3 and n=5+p

that's 2p+3=5+p

P=5 - 3

P=2

so the solution is n=7 and p=2

Answer:

(2,7)

Step-by-step explanation:

Answer:

if it's multiple it will take her 46.26

Answer:

120° or 300°

Step-by-step explanation:

Given,

Slope (m) = -√3

Inclination (α) = ?

Now,

We know,

m = tanα

or, -√3 = tanα

or, tan(120° or 300°)  = tanα

∴ α = 120° or 300°

∴ Inclination is 120° or 300°

The 2x5+18 = 18 is not correct, as the 2x does not apply to the +8 part (the whole equation). The equation Maria has given actually means they bought 2 drinks, but only 1 popcorn. The actual equation must be 2(5+8) = 26.

Answer:

a=6, b=59, c=28

Step-by-step explanation:

48/a+9=17       b-10/7=7             0.25c-5=2

48/a+9-9=17-9 7 (b-10/7) =7(7)    0.25c-5+5=2+5

48/a=8             10+ b-10=49+10   0.25c=7

a(48/a) = a (8)        b=59                 0.25c/0.25=7/0.25

48=8a                                            c=28

a=6

In summary d²y/dx² in terms of x and y is given by: d²y/dx² = 3/2 x + 1/4 y

Why is it?

To find d²y/dx², we need to differentiate the given differential equation with respect to x:

dy/dx = x² - 1/2 y

Differentiating both sides with respect to x:

d²y/dx² = d/dx(x² - 1/2 y)

d²y/dx² = d/dx(x²) - d/dx(1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

Now, we need to express d/dx(y) in terms of x and y. To do this, we differentiate the original differential equation with respect to x:

dy/dx = x² - 1/2 y

d/dx(dy/dx) = d/dx(x² - 1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

d²y/dx² = 2x - 1/2 (d²y/dx²)

Substituting this expression for d²y/dx² back into our previous equation, we get:

d²y/dx² = 2x - 1/2 (2x - 1/2 y)

d²y/dx² = 2x - x/2 + 1/4 y

d²y/dx² = 3/2 x + 1/4 y

Therefore, d²y/dx² in terms of x and y is given by:

d²y/dx² = 3/2 x + 1/4 y

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The formula A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 is used to find the area of a parallelogram whose vertices are given. The vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0). The area of the parallelogram is 11/2 square units.

To find the area of a parallelogram whose vertices are given, we use the formula

A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 .

Here, ax and ay are the x and y coordinates of vertex A, bx and by are the x and y coordinates of vertex B, and cx and cy are the x and y coordinates of vertex C. Given the vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0).We will use the above formula to find the area of the parallelogram.

Area = |(-2(3)-0(1)+1(0)) + (0(0)-3(-1)+(-1)(-2))|/2

=|(-6+0+0)+ (0+3+2)|/2

=11/2 square units.

Hence, the area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

Therefore, the answer is: The area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

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The required return for a stock with a beta of 2.20, a risk-free rate of 2%, and a market risk premium of 6% is 14.39%.  The correct option is c.

To calculate the required return, we can use the Capital Asset Pricing Model (CAPM), which relates the expected return of a stock to its beta, the risk-free rate, and the market risk premium. The formula for CAPM is as follows:

Required Return = Risk-Free Rate + (Beta × Market Risk Premium)

In this case, the risk-free rate is 2% and the market risk premium is 6%. The beta of the stock is given as 2.20. Plugging these values into the formula, we get:

Required Return = 2% + (2.20 × 6%) = 2% + 13.2% = 15.2%

Therefore, the correct answer is option C: 14.39%.

The CAPM is a widely used model in finance to estimate the required return on an investment. It takes into account the risk-free rate, which represents the return on a risk-free investment such as government bonds, and the market risk premium, which represents the additional return investors expect to receive for taking on the risk of investing in the overall market.

The beta of a stock measures its sensitivity to market movements, and multiplying it by the market risk premium gives us an estimate of the stock's additional required return. By summing this additional return with the risk-free rate, we obtain the required return for the stock.

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Answer:

41.6 m

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length ), then

s² = 108.16 ( take the square root of both sides )

s = \(\sqrt{108.16}\) = 10.4

Then

perimeter = 4s = 4 × 10.4 = 41.6 m

Answer:

A. (-13, -4)

Step-by-step explanation:

An equation is formed of two equal expressions. The ordered pair (a,b) which is the solution to the system of equations is (13,-4).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution

a - 4b=3

Solve the equation for a,

a = 3 + 4b

Substitute the value of a in the second equation,

-2a + 3b = 14

-2(3 + 4b) + 3b = 14

-6 - 8b + 3b = 14

-5b = 20

b = -4

Substitute the value of b,

a = 3 + 4(-4)

a = -13

Hence, the ordered pair (a,b) which is the solution to the system of equations is (13,-4).

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The company should use a warranty period that is equal to 67,467.5 miles.

To determine the warranty period, we need to find the value of the tire life that corresponds to 95% of the tires. We can use the standard normal distribution table to find the value of the z-score that corresponds to the 95th percentile. This value is approximately 1.645.

Now, we can use the formula for the normal distribution to find the tire life value that corresponds to the z-score of 1.645. This formula is:

X = μ + zσ

Where X is the tire life value, μ is the mean of the distribution (65,000 miles), z is the z-score (1.645), and σ is the standard deviation of the distribution (1500 miles).

Plugging in the values, we get:

X = 65,000 + 1.645(1500)

X = 67,467.5

This means that 95% of the tires will have a life of at least 67,467.5 miles.

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Answer:

x= 4.3125

Step-by-step explanation:

2^2 = 16x - 65

4= 16x- 65

+65      +65

69 = 16x

69/16 =16x/16

4.3125 = x

Answer:

ucg

Step-by-step explanation:

Answer:

2x+1=86

Step-by-step explanation:

I think thats the answer, Im not sure though

Answer:

\(\displaystyle 93,5\:in.^2 \approx A\)

Step-by-step explanation:

\(\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}\)

I am joyous to assist you at any time.

Answer:

40 students

Step-by-step explanation:

you have to minus 9 because of the cars then you have 320 divide 8 and you get 40.