Simplify for s (s2 + 1) (-2) – (-2s) 2 (s2 + 1) /(25) (s2 +1)*

Answer:

6%

Step-by-step explanation:

The average rate is approximately 2%

The formula for calculating the average rate of return under continuous compounding is expressed as \(A=Pe^{rt\)

Given the following parameters

\(P = \$50,000\)

A = $175,222.57

t = 20 years

Substitute the given parameters into the formula to get the rat\(175,222.57 = 5000e^{20r}\\e^{20r}=\frac{175,222.57.}{5000}\\e^{20r}= 35.155514\\lne^{2r}=ln 35.155514\\2r = 3.5597\\r = 3.5597/2\\r =1.779 \%\)

Hence the average rate is approximately 2%

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To estimate the probability that a randomly selected person would pass the driving test on the first attempt, we can divide the number of people who passed on the first attempt (6500) by the total number of people who took the test (10,000).

Probability = Number of favorable outcomes / Total number of possible outcomes.In this case, the favorable outcome is passing the test on the first attempt, and the possible outcomes are all the people who took the test.

Probability = 6500 / 10000= 0.65

Therefore, the estimated probability that a randomly selected person would pass the driving test on the first attempt is 0.65 or 65%. This means that there is a 65% chance that a randomly selected person from the group of 10,000 would pass the driving test on their first try.

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Answer: \(m=\frac{360^{\circ}}{n}\)

Step-by-step explanation:

This is a standard result.

The second option is the segment addition postulate.

The third option is the sum of the angles of a polygon with n sides.

The fourth option is the measure of each interior angle of a regular polygon with n sides.

The fifth option is the angle addition postulate.

The empty boxes of the numerators for the given rational expression is to be filled with 4x and 2 respectively.

Rational expression is a division of two polynomials. Which implies that the numerator and denominator of the fraction consists of polynomials.

To solve this, we will first factorise the expression of the denominator as follows;

x² - 9x + 8 = x² - 8x - x + 8

x² - 9x + 8 = x(x - 8) -1(x - 8)

x² - 9x + 8 = (x - 1)(x - 8)

Hence, we can rewrite the rational expression as:

(4x + 2)/[(x - 1)(x - 8)]

we can break the expression further by dividing each term of the numerator with the expression (x - 1)(x - 8) as follows;

(4x + 2)/[(x - 1)(x - 8] = [4x/(x - 1)(x - 8)] + [2/(x - 1)(x - 8)]

Therefore, 4x and 2 will be the appropriate values to be filled in the empty boxes equated to the rational expression.

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The vector parameterization for the line passing through the points (1, 1, -1) and (6, -9, 4) is:

x = 1 + 5t

y = 1 - 10t

z = -1 + 5t

To find a vector parameterization for the line passing through the points (1, 1, -1) and (6, -9, 4), we can use the vector equation of a line:

r = a + t * d

where r is the position vector of any point on the line, a is a known point on the line, t is a parameter, and d is the direction vector of the line.

First, let's find the direction vector d. We can subtract the coordinates of the two points to obtain the direction vector:

d = (6, -9, 4) - (1, 1, -1)

= (5, -10, 5)

Now, we can choose one of the given points, say (1, 1, -1), as our known point a.

Substituting these values into the vector equation, we have:

r = (1, 1, -1) + t * (5, -10, 5)

So, the vector parameterization for the line passing through the points (1, 1, -1) and (6, -9, 4) is:

x = 1 + 5t

y = 1 - 10t

z = -1 + 5t

where t is a real number that can vary to give different points along the line.

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Answer:

x=5

Step-by-step explanation:

They are vertical angles, so they are equal.

22x+5=23x

minus 22x from each side

5=x

and you can switch it around :)

x=5

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Step-by-step explanation:

the set of ordered pairs :

a. {(-9,5),(4,8),(7,8)}

b. {(4,1),(4,8),(7,5)}

Answer: 75%

Step-by-step explanation:

common sense

Answer:

it’s the first one- 9x-3=60

Step-by-step explanation:

The Justice Policy Institute suggests expanding the use of mathematical principles, particularly probability theory, in the health and human services sector to promote positive outcomes instead of relying on suppression.

Probability theory is a branch of mathematics that deals with the analysis of uncertain events. By applying probability theory, we can quantify the likelihood of different outcomes and make informed decisions based on evidence. In the context of health and human services, expanding the use of probability theory can provide valuable insights and guide policy decisions towards positive outcomes.

Instead of relying on suppression, which often focuses on punitive measures or attempts to control behavior through strict enforcement, a probabilistic approach can offer a more nuanced and comprehensive perspective. It allows us to understand the underlying factors contributing to certain behaviors or outcomes and design interventions accordingly.

This model can help identify the factors that increase the risk of substance abuse and those that promote positive behaviors. By incorporating statistical techniques, such as regression analysis or machine learning algorithms, we can identify significant predictors and develop tailored interventions to mitigate risks and enhance protective factors.

By expanding the use of probability theory and other mathematical concepts in the health and human services sector, we can move away from suppression and towards a more proactive and evidence-based approach. This approach allows us to understand the underlying mechanisms driving certain behaviors and design interventions that have a higher likelihood of success.

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The system that can help to model this are

We have the following equation. Remember that a good understanding of the question is what would help us to write the equation

The condition says:

The square of first number is equal to the sum of the second number and 16:

First number = x. Square of x = x²

second number = y + 16

For the second

The difference of 4 times the second number and 1 is equal to the first number multiplied by 7:

second number is y

4*y - 1= x*7

= 4y - 1 = 7x

Hence we would have the following as our equations

x² = y + 16

4y - 1 = 7x

The solution to the equation when graphed = 5, 9

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Answer:

La respuesta correcta es la opción C: 91 cm³.

Step-by-step explanation:

La fórmula del volumen de un cubo es la siguiente:

\( V = a^{3} \)

En dónde:

a: es cada lado del cubo = 4,5 cm

Entonces, el volumen del cubo es:

\( V = a^{3} = (4,5 cm)^{3} = 91.1 cm^{3} \approx 91 cm^{3} \)

Por lo tanto, la respuesta correcta es la opción C: 91 cm³.  

Espero que te sea de utilidad!

There are six possible ways a person can choose two balls at random from an urn containing five balls numbered 1, 2, 2, 6, and 6.

To understand how to calculate the number of combinations, let's break it down into two parts: selecting the first ball, and then selecting the second ball. Since there are five balls in the urn, the first ball can be chosen in five possible ways. Then, when selecting the second ball, the number of possible selections is reduced to four because one ball has already been selected. This can be expressed mathematically as: n(A)=5x4.

To calculate the total number of combinations, we then multiply the two numbers: 5x4=20. This result is then divided by two because the order of selection does not matter. As a result, 20/2=10, which means that there are ten possible combinations when choosing two balls at random from the urn. In conclusion, if an urn contains five balls numbered 1, 2, 2, 6, and 6, there are six possible ways a person can choose two balls at random. This can be expressed mathematically as n(A)=6 or n(A)=5x4/2.

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Answer:

A ladder leans against the wall of a building. The ladder measures 66 inches and forms an angle of 45 degrees with the ground. How far from the ground, in inches, is the top of the ladder? How far from the wall, in inches, is the base of the ladder?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard form of writing the linear equation of a line is expressed as;

f(x) = mx + c where;

m is the slope

c is the intercept

Given the function  f(x) = 3x − 12

x intercept occurs at f(x) = 0

0 = 3x - 12

3x = 12

x = 12/3

x = 4

Hence the x intercept is 4

y intercept occurs at x = 0

f(x) = 3(0) - 12

f(x) = -12

Hence the y intercept is at -12

Answer:

3 mph

Step-by-step explanation:

So the average speed is simply: \(\frac{distance}{time}\). In case, the total time is 25 minutes + 55 minutes which is a total of 80 minutes, or 1.33 hours. The total distance traveled is two miles + two miles, since he jogged two miles to the park, and then he turns around and walks the same path. So in total he traveled 4 miles. Plugging this in to the formula gives you the equation: \(\overline{v}=\frac{4 \text{ miles}}{\frac{4}{3}\text {hours}}=\frac{4\text{ miles}}{1}*\frac{3}{4}\text{ hours} = 3mph\)

Answer:

Im pretty sure its 8.

Step-by-step explanation:

32/1 x 1/4= 32/4 = 8

If im right please give me brainliest :)

Answer:

y = x - 3

Explanation:

take two points: (1, -2), (2, -1)

Find slope:

\(\boxed{\sf \frac{y_2 - y_1}{x_2 - x_1} }\) where (x1, y1), (x2, y2)

\(\sf \rightarrow \dfrac{-1-(-2)}{2-1}\)

\(\sf \rightarrow 1\)

Equation:

y - y1 = m(x -x1)

y - (-2) = 1(x-1)

y + 2 = x - 1

y = x - 3

Answer:

\(\huge \boxed{\bf{y = x - 3}}\)

Step-by-step explanation:

Given:-

Take two point:

To find:-

Ans:-

~Find slope in two point:

\(\sf \to m = \frac{y_2 - y_1}{x_2 - x_1} \)

\(\sf \to m = \frac{-1 - (-2)}{2 - 1} \)

\(\sf \to m = \frac{1}{1} \)

\(\sf \to m = 1 \)

\( \: \)

~Find equation:

\( \sf \to y - y_1 = m(x - x_1) \)

\( \sf \to y - (-2) = 1(x - 1) \)

\( \sf \to y + 2 = x - 1 \)

\( \sf \to y = x - 1 - 2 \)

\( \sf \to y = x - 3 \)

\( \: \)

\( \huge\colorbox{blue}{BlackPain} \)

Answer and Step-by-step explanation:

To find the derivative of sec(2x), we need to use the chain rule.

The chain rule is as follows:

\(\frac{d}{dx}\)[f(g(x))] = f'(g(x)) * g'(x)

What this means is that the derivative of a function with another "function" on the inside is equal to the derivative of the outside function f(x) with the inside function g(x) put back inside of f'(x), multiplied by the derivative of the inside function g(x).

Let's put this into action.

The inside function is 2x, and the outside function is sec( ).

The derivative of sec( ) is tan( )sec( ), and the derivative of 2x is 2.

\(\frac{d}{dx} sec(2x) = tan(2x)sec(2x) * 2\)

Thus, we have our answer to be 2tan(2x)sec(2x).

I hope this helps!
#teamseas #PAW (Plant And Water)

Answer:

Step-by-step explanation:

y - 2 = 3(x - 0)

y - 2 = 3x - 0

y = 3x + 2

The amount of sales tax on Desmond's purchase of a printer and an ink cartridge with a total cost of $84 and a sales tax rate of 7.25% is $6.09.

The total cost of Desmond's purchase is the sum of the cost of the printer and the ink cartridge.

Total cost = Cost of printer + Cost of ink cartridge

= $64.75 + $19.25

= $84

The sales tax rate is 7.25%, which means that Desmond will need to pay an additional 7.25% of the total cost as sales tax. To calculate the amount of sales tax, we can first find the percentage of the total cost that is the sales tax:

Sales tax percentage = 7.25% of $84

= 0.0725 x $84

= $6.09

Therefore, the amount of sales tax on Desmond's purchase will be $6.09.

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Answer:

0.02381

Step-by-step explanation:

As we know that

We have 10 digits i.e 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 out of these 5 are odd digits 1, 3, 5, 7, 9.

A security alarm needs a code of four digits that includes only odd values

In the first position of the code is 1 digit from 5 odd digits.

In the second position of the code is 1 digit from 4 digits left.

In the third place it is 1 from 3 digits left

And the last fourth position is 1 from 2 odd digits left

Now we can generate 5: 4: 3: 2 = 120 distinct four-digit code only with odd different numbers in total.

Likewise we can count how much of different codes you can generated from all digits

In the first position of the code it is 1 digit from 10 digits,

In the second position of the code it is 1 digit from 9 digits left,

In the third place it is 8 digits left

And the last fourth position it is 7 digits left.

Now overall you can generate 10:9:8:7 = 5040 that contains different four-digit code by considering different digits.

So, the probability is

\(Pr=\dfrac{120}{5040}\)

\(=\dfrac{1}{42}\)

\(\approx 0.02381 .\)

ANSWER:

D = 0.02381

Step-by-step explanation:

Just took the exam :)

but basically, math. (edg 2020)

The given vectors in R3 (2-10).(31 2) and ( 1 0 1) are linearly independent.

Explanation: Two vectors in R3 are said to be linearly independent if no linear combination of the vectors can result in the zero vector, except when all the coefficients are zero. In other words, if the only solution to the equation a(2,-10) + b(3,1) + c(1,0,1) = (0,0,0) is a = b = c = 0, then the vectors are linearly independent.

To determine whether the given vectors are linearly independent, we set up the equation:

a(2,-10) + b(3,1) + c(1,0,1) = (0,0,0)

Expanding this equation, we get:

(2a + 3b + c, -10a + b, -10c + b) = (0,0,0)

To find the values of a, b, and c that satisfy this equation, we solve the system of equations:

2a + 3b + c = 0

-10a + b = 0

-10c + b = 0

Solving this system of equations, we find that the only solution is a = b = c = 0, indicating that the given vectors are linearly independent. Therefore, the statement "The given vectors in R3 (2-10).(31 2) and ( 1 0 1) are linearly independent" is true.

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The correct option is :

A package that weighs 7 pounds will cost $17 for both options.

The declaration that shows that the provided variables exist is a mathematical equation. When describing the scenario in this circumstance, two or more factors are taken into account.

The equation can be used to symbolize the price, y: Y is equal to 3 plus 2 times the weight of the package, x.

Another choice is for the buyer to pay a one-time price of $17, which is represented by the equation y = 17, in order to send the package.

We'll compare the equation as a whole.

In this case,

3 + 2x = 17

Compile similar terms

2x = 17 - 3

2x = 14

x = 14 divided by 2x = 7

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Answer:

the answer is 42

Step-by-step explanation:

i used the calculator yup