Add the following numbers. 26.89 + 34.5 + 68.6 o 12h99 118.89 130.09 36.10 NEXT QUESTION

A solution of \(y" + 2y' + 2y = 3f1(t) + f2(t)\) using the superposition principle is given by: \(y = ((3-f2(t))/8) y1 + ((1+3f1(t))/8) y2\)

It be found by taking a linear combination of the two given solutions y1 and y2. Let c1 and c2 be constants, then the solution y can be expressed as y = c1y1 + c2y2.  To find c1 and c2, we differentiate y twice and substitute it into the given differential equation:

\(y' = c1(2cos(3t) - 6tsin(3t)) + c2(-6e^-{t sin(6t)} - e^{-t cos(6t)})\)

\(y" = c1(-18sin(3t) - 36tcos(3t)) + c2(-36e^{-t sin(6t)} + 12e^{-t cos(6t)})\)

Substituting these expressions for y and its derivatives into the differential equation and simplifying, we get: \((3c1 + c2) f1(t) + (c1 + 3c2) f2(t) = 0\)

Since this must hold for all t, we can equate the coefficients of f1(t) and f2(t) to zero to get the system of equations: \(3c1 + c2 = 3, c1 + 3c2 = 1\)

Solving for c1 and c2, we get \(c1 = (3-f2(t))/8\) and \(c2 = (1+3f1(t))/8.\)

Note that this solution is valid only if f1(t) and f2(t) are continuous and differentiable.

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The answer is approximately 68% of the scores in a normally distributed set of data will fall within one standard deviation (-1 to +1) of the mean, according to the empirical rule.

According to the empirical rule, approximately 68% of the scores in a normally distributed set of data will fall within one standard deviation (i.e., within -1 to +1 standard deviation) of the mean. This is also known as the 68-95-99.7 rule or the three-sigma rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean. Approximately 95% of the data falls within two standard deviations of the mean. Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, the answer to the question is 68%.

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Answer:

46,145 yards

Step-by-step explanation:

convert miles to yards then add

The standard error is 0.0207.

What is standard error?

In statistics, the standard error (SE) is a measure of the variability or precision of the sample mean or sample proportion. It quantifies the amount of sampling variation in the estimate of the population parameter.

For example, suppose we want to estimate the average height of students in a school. We take a sample of students and calculate the sample mean height. The standard error tells us how much we should expect the sample mean to vary if we took repeated samples from the same population under the same conditions. A smaller standard error indicates that the sample mean is a more precise estimate of the population mean, while a larger standard error indicates that the sample mean is less precise.

The standard error is typically calculated using the sample size and the variability of the sample data. The formula for the standard error depends on the type of statistic being calculated (e.g., mean, proportion, difference between means, etc.).

The standard error of a sample proportion is calculated as:

\($$S E-\sqrt{\frac{p(1-p)}{\pi}}$$\)

where p is the sample proportion and n  is the sample size.

Substituting the given values, we have:

\($$S E-\sqrt{\frac{0.64(1-0.64)}{751}} \approx 0.0207$$\)

Rounded to four decimals.

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The change that Angie will receive from an $100 bill is $38.944.

Angie went to the store and bought 3 pairs of tennis shoes that each cost $24. The total cost will be:

= 3 × $24 = $72

Sales tax was then calculated at 6%. This will be:

= 6% × $72

= $4.32

Total cost = Cost + Tax

= $72 + $4.32

= $76.32

Coupon off = 20% × $76.32 = $15.264

Total amount paid = Cost - Coupon

= $76.32 - $15.264

= $61.056

The change gotten will be:

= $100 - $61.056

= $38.944

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The area of the triangle is 31.54 square units

From the question, we have the following parameters that can be used in our computation:

We have the following values

a = 7 units

c = 11 units

B = 55 degrees

The area of the triangle is calculated using the following area formula

Area = 1/2absin(C)

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 7 * 11 * sin(55 degrees)

Evaluate

Area = 31.54

Hence, the area is 31.54 square units

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Answer:

[4,infinity] for DECREASING

[negative infinity, 4] for INCREASING

Step-by-step explanation:

Answer:

original price was 64 dollars

Step-by-step explanation:

Answer:

$15.80

Step-by-step explanation:

20% of 16, or 1/5 of 16, is 3.2. So we subtract 3.2 from 16

16 - 3.2 = 15.8

So, in dollar form, it is $15.80

So the final cost of the pair of gloves is $15.80

Step-by-step explanation:

(x-2)^2

(x-2) (x-2)

x(x-2) -2(x-2)

x^2- 2x -2(x-2)

x^2-4x+4

Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function.

Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Important values that aid in defining a relation include domain and range. The collection of input values is the domain. These values are graphed on the axis of a coordinate graph and are represented by the independent variable. The collection of output values for a function is known as the range.

An further method to determine the domain and scope of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

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Answer:

504

Step-by-step explanation:

In order to solve, you have to isolate n.

first combine like terms on the right side.

48×42=2016

4n=2016

Now to isolate the n, divide each side by four.

n/4=2016/4

n=504

Frederick Taylor's theory is known as "scientific management," which aimed to improve workplace productivity by emphasizing efficiency and standardization.

Here are some pros and cons of his theory:

Pros:

1. Increased productivity and efficiency: Taylor's approach helped companies streamline their processes and make better use of their resources. This led to increased productivity and efficiency, which can lead to greater profits and growth.

2. Improved worker skills: By breaking down work into smaller tasks and optimizing them, Taylor's method allowed workers to learn new skills and become more specialized in their work. This can lead to a sense of mastery and increased job satisfaction.

3. Clear division of labor: Taylor's method led to a clear division of labor, which allowed companies to better organize their workers and maximize their output. This also helped to reduce conflict and confusion in the workplace.

Cons:

1. Dehumanization of workers: Taylor's approach viewed workers as mere cogs in a machine rather than as human beings. This led to a lack of respect and dignity for workers, which can lead to low morale and high turnover rates.

2. Lack of creativity and innovation: Taylor's method emphasized standardization and efficiency over creativity and innovation.

3. Potential for abuse: Taylor's approach can be abused by employers who are more concerned with profit than with worker welfare.

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Answer:

is c

Step-by-step explanation:

because inches are very bing in cm

MARK ME THE BRAINLIST PLEASE

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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Answer:

y = \(\frac{-8}{3}\) x + \(\frac{8}{3}\)

Step-by-step explanation:

The slope is the change in y over the change in x.

\(\frac{0-8}{1 - -2}\) = \(\frac{-8}{1+2}\) = \(\frac{-8}{3}\)

The slope (m) is \(\frac{-8}{3}\)

Use the slope and one of the points to find the y intercept

I will use the point (1,0)

x = 1

y = 0

m = \(\frac{-8}{3}\)

y = mx + b  Substitute in what you know and solve for b

0 = \(\frac{-8}{3}\)(1) + b

0 = \(\frac{-8}{3}\) + b  Add \(\frac{8}{3}\) to both sides

\(\frac{8}{3}\) = b

The y-intercept (b) is \(\frac{8}{3}\)

y = mx + b

y = \(\frac{-8}{3}\) x + \(\frac{8}{3}\)

Evaluating the expression under the conditions: cos 2theta; sin theta = - 8/17, theta in Quadrant III -

sin 5x cos 6x can be expressed as sin 11x / 2.

To evaluate the expression cos 2θ, we need to find the value of θ first.

We have,

sin θ = -8/17 and θ is in Quadrant III.

Since sin θ = -8/17, we know that the opposite side of the triangle is -8 and the hypotenuse is 17. Using the Pythagorean theorem, we can find the adjacent side:

adjacent^2 = hypotenuse^2 - opposite^2

adjacent^2 = 17^2 - (-8)^2

adjacent^2 = 289 - 64

adjacent^2 = 225

adjacent = 15

Now, we can use the definition of cosine to evaluate cos θ:

cos θ = adjacent / hypotenuse

cos θ = 15 / 17

Since cos 2θ is a double-angle identity, we can use the formula:

cos 2θ = cos^2 θ - sin^2 θ

Plugging in the values we found, we get:

cos 2θ = (15/17)^2 - (-8/17)^2

cos 2θ = 225/289 - 64/289

cos 2θ = (225 - 64) / 289

cos 2θ = 161/289

Therefore, cos 2θ is equal to 161/289.

To express sin 5x cos 6x as a sum, we can use the double-angle identity for sine:

sin 2θ = 2sin θ cos θ

Let's rewrite sin 5x cos 6x using the double-angle identity:

sin 5x cos 6x = (2sin 5x cos 6x) / 2

             = sin (5x + 6x) / 2

Simplifying further:

sin (5x + 6x) / 2 = sin 11x / 2

Therefore, sin 5x cos 6x can be expressed as sin 11x / 2.

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Step-by-step explanation:

Putting values of x and y.

5(6) / 3(-4) + 6

30 / - 12 + 6

10 / - 4 + 6

5 / - 2 + 6

= 3.5

Answer:

1/25

Step-by-step explanation:

If 3/5 have long hair, then 2/5 do not have long hair

So, the probability of no long hair, has blue eyes = 2/5(1/10) = 1/25

Answer:

bottom left

Step-by-step explanation:

0 because there is no 7 on a fair 6-sided die

Answer:

The probability of rolling a "7" on a fair 6-sided die is 0/6 or 0% because there is no value of 7 to be rolled on such a die. The probability of flipping a tails on a  fair coin is 1/2 or 50% because there are only two sides to a coin and tails is one of those sides.

Answer:

Two consecutive numbers can be written as x and x+1

if we add those two equations together we get 2x+1

And since any number times two is an even number if you add one to any even number you always get an odd number

Answer:

-18 y + 91 y = 73 y

(3, -7) y (-6, -13)  

{-18 y, 91 y}

For a logarithmic equation in Pareto's law for capitalist countries, log y = log b - k log x, the solution of this equation is equal to the y = b x⁻ᵏ or \(y = \frac{ b}{x^k}\).

A logarithmic equation is one of equation form that involves the logarithm of an expression containing a variable. We have Pareto's law for capitalist countries defines as the relationship between annual income, x and the number y of individuals whose income exceeds x is written as log y = log b - k log x --(1) , where b and k are positive constants. We have to solve this equation. As we see it is an logarithm equation. Using logarithm properties we can solve it. The equation is log y = log b - k log x

Using substraction property of logarithm,

\(log\: m - log\: n = log( \frac{ m}{n})\)

So, \(log y- log b= log(\frac{y}{b})\)

=> \(log(\frac{ y}{b }) = -k \: log(x) \)

Using the logarithm rule, log( x²) = 2log x

so, \(log( \frac{ y}{b }) = log(x^{-k}) \)

Taking anti-logarithm both sides

=> \(\frac{y}{b} = x^{-k} \)

=> y = b x⁻ᵏ

=>\(y = \frac{ b}{x^k}\).

Hence, required solution is \(y = \frac{ b}{x^k}\).

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Answer:

-2 = -6

Step-by-step explanation:

first, you type -2 in the left box and -6 in the middle box

Answer:

approximately 13.333333....

Step-by-step explanation:

2/3=0.66666...

80/0.66666...=13.333333..

quack quack quack (I'll help as best as I can...)

EHEM

I believe the answers are B and D

quack quack quack.. (hopefully this helps..)

The derivative of the given function is 72x³ + 186x² + 102x + 54.

To find the derivative of the given function, we can use the product rule and chain rule as follows:

y = x²+2(4x+1)(2x+3)³

y' = 2x + 2(4x+1)(2x+3)³ + x² + 2(4x+1)(3(2x+3)²(2))

= 2x + 2(4x+1)(2x+3)³ + x² + 36(4x+1)(2x+3)²

Simplifying this expression, we get:

y' = 72x³ + 186x² + 102x + 54

Therefore, the derivative of the given function is 72x³ + 186x² + 102x + 54.

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Answer:

11,56,57

Step-by-step explanation:

11 56 57 do not represent the sides of a right triangle