Two secant segments are drawn to a circle from a point outside the circle. The external segment of the first secant segment is 8 centimeters and its internal segment is 6 centimeters. If the entire length of the second secant segment is 28 centimeters, what is the length of its external segment?

Answer:

- 5√2 / 2   ,   - √2

Step-by-step explanation:

√2 x² + 7x + 5√2 = 0

√2          5

1              √2

(√2 x + 5) (x + √2) = 0

√2 x + 5 =0            x = - 5/√2 = - 5√2 / 2

or x + √2 = 0          x = -√2

Answer:

4

Step-by-step explanation:

Percentage Calculator: 160 is what percent of 4000? = 4.

The term that completes the blank in this question is "contradiction." A contradiction is a statement that is logically inconsistent with other statements, making it impossible for all of them to be true at the same time. In the context of arguments, a contradiction can be used to show that a certain assumption or conclusion is false.

The type of argument described in the question is known as a reductio ad absurdum, which translates to "reduction to absurdity" in Latin. In this type of argument, the arguer assumes the opposite of the conclusion they want to prove, and then shows that this assumption leads to a contradiction. This contradiction then proves that the original assumption was false, and therefore the original conclusion is true.

For example, if someone argued that all cats are black, someone could use reductio ad absurdum to show that this is not true. They would assume that all cats are black, and then show that this assumption leads to a contradiction. They might point out that some cats are white, which contradicts the original assumption. Therefore, the original assumption must be false, and the conclusion that all cats are black is also false.

Overall, reductio ad absurdum is a powerful tool in logical reasoning, allowing us to prove that certain assumptions or conclusions are false by demonstrating that they lead to logical contradictions.

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Answer:

C. 3 workbooks and 5 dry erase boards

Total is $46. The rest exceed her budget.

Answer:

y = -12/11

Step-by-step explanation:

-8y - 13 = 14y + 11

-8y - 14y = 11 + 13

-22y = 24

y = 24/-22

y = -12/11

Check:

-8*-12/11  -  13 = 14*-12/11 + 11

96/11  -  13 = -168/11  +  11

96/11 - 143/11 = -168/11 + 121/11 = -47/11

The set of observations on a variable measured at successive points in time or over successive periods of (c) time series .

A Time Series is a set of observations on a variable that is measured at successive points in time or over successive periods.

Which means that the values of the variable that are recorded at regular intervals or successive points, such as daily, weekly, monthly, or annually, and are analyzed to identify the patterns, trends, and relationships over time.

The Time series analysis can be used in various fields, including economics, finance, engineering, and the natural sciences, to make predictions, identify cause-and-effect relationships, and inform decision-making.

The given question is incomplete , the complete question is

A set of observations on a variable measured at successive points in time or over successive periods of

(a) geometric series

(b) time invariant set

(c) time series

(d) logarithmic series

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To solve this problem, we can use the Poisson distribution formula.

The formula is P(X ≤ 10) = e^(-λ) ∑(k=0 to 10) (λ^k / k!) where λ is the average rate of customers per hour, which is 17.

Substituting the values,

we get P(X ≤ 10) = e^(-17) ∑(k=0 to 10) (17^k / k!)

Using a calculator, we get P(X ≤ 10) = 0.2588 or 25.88%. This means that during a given hour, the probability that 10 or fewer customers will arrive at the drive-thru is 25.88%.

It is important to note that the Poisson distribution assumes that the arrival rate is random and constant. In reality, there may be factors that affect the arrival rate, such as time of day, day of the week, and weather conditions. However, the Poisson distribution can still be a useful tool in predicting customer arrivals and managing staffing levels.

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The value for which the probability is 95.05% that the length of stay will be less than this value is approximately 5.4 hours.

Given that X follows a lognormal distribution with parameters theta = 1.5 (shape parameter) and omega = 0.4 (scale parameter), we can use these values to calculate the desired quantile.

The quantile function for the lognormal distribution is given by:

Q(p) = exp(θ + ω * Φ^(-1)(p))

Where:

Q(p) is the quantile for probability p,

θ is the shape parameter (1.5 in this case),

ω is the scale parameter (0.4 in this case),

Φ^(-1)(p) is the inverse cumulative distribution function (CDF) of the standard normal distribution evaluated at p.

To find the value for which the probability is 95.05%, we substitute p = 0.9505 into the quantile function:

Q(0.9505) = exp(1.5 + 0.4 * Φ^(-1)(0.9505))

Using a standard normal table or statistical software, we can find Φ^(-1)(0.9505) ≈ 1.6449.

Calculating the value:

Q(0.9505) = exp(1.5 + 0.4 * 1.6449) ≈ 5.4

Therefore, the value for which the probability is 95.05% that the length of stay will be less than this value is approximately 5.4 hours.

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Answer:

subtract 4from each side

According to economists, her opportunity cost of consuming caramel-coated popcorn would be the forgone peanut butter pretzels.

Opportunity costs are the possible advantages that a person, investor, or company forgoes while deciding between two options. Opportunity costs are by definition invisible, making it simple to ignore them.

Better choices can be made by being aware of the opportunities that might be lost when a company or person chooses one investment over another. It is necessary to weigh the advantages and disadvantages of each choice offered in order to correctly assess opportunity costs.

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No, it is not possible to have a connected graph with six vertices of degrees 1, 1, 2, 2, 2, and 3.

As we know that the sum of the degrees of the vertices in a connected graph must be equal to twice the number of edges.

So, in this case, the sum of the degrees must be equal to 2 * K, where K is the number of edges in the graph.

Since the degrees of the vertices are 1, 1, 2, 2, 2, and 3,

the sum of the degrees is 1 + 1 + 2 + 2 + 2 + 3 = 11.

The number of edges must be K = 11 / 2 = 5.5,

which is not possible as the number of edges must be a positive integer.

Therefore, it is not possible to have a connected graph with six vertices of degrees 1, 1, 2, 2, 2, and 3.

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Answer:

20?

Step-by-step explanation:

Answer:

The slope = 3

Step-by-step explanation:

The points are:

( 1, 2 ) = x₁ , y₁

( 3, 8 ) = x₂ , y₂

The slope is calculates as follows:

slope = \(\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)

= \(=\frac{8 - 2}{3-1} \\=\frac{6}{2} \\=3\)

Answer: The slope of the line is 3

Step-by-step explanation: first you take the points (1,2) and (3,8) then you put then in to the slope formula y2-y1 over x2-x1 which would be 8-2 over 3-1 which 8-2 is 6 and 3-1 is 2 therefore it would be 6/2 which simplified is 3 so the slope is three I hope this helps  

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

0.8892

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/4 × 1/4 = (2×1)/(4×4) = 2/16 = 1/8

Answer:

1/8

Step-by-step explanation:

2/4 times 1/4 is 0.125, which as a fraction is 1/8

The Taylor polynomial error bound provides an upper bound on the error between a Taylor polynomial approximation and the actual function value within a given interval.

Specifically, it guarantees that the absolute value of the difference between the actual function value and the Taylor polynomial approximation is no more than the maximum value of the absolute value of the (n+1)th derivative of the function within that interval, multiplied by the maximum distance between the point of approximation and the center of the Taylor series expansion. In other words, the error bound guarantees that the error in using the Taylor polynomial approximation is no larger than a certain value, which can be computed using the given formula.

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Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Answer:

Step-by-step explanation:

Given the expression \((\frac{1}{23} )^{1000} \\\), for us to know the closest integer, the following step must be carried out;

\((\frac{1}{23} )^{1000} \\=\frac{1^{1000} }{23^{1000} } \\= \frac{1}{23^{1000}} \\= \frac{1}{5.34 * 10^{1361} }} \\= 1.87*10^{-1362}\)

The value gotten is a very small value which is close to 0

Answer:

The remainder will be 3.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).

We can rewrite the binomial as (x - (-1)).

Therefore, a = -1.

Then the remainder will be P(-1).

Looking at the graph, we can see that P(-1) = 3.

Thus, the remainder when P(x) is divided by (x + 1) is 3.

Answer:

The remainder is 3 :)

Step-by-step explanation:

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The portfolio beta of the share in which $900 is invested is 1.4

Given: Amount invested in share with a portfolio beta of 1.4 = $900.

Amount invested in share with a portfolio beta of 1.4 = $2100Total amount invested = $900 + $2100 = $3000We know that,Weighted average of portfolio beta = ∑wᵢβᵢ / ∑wᵢwhere, w = weight or amount invested and β = portfolio beta.,

Putting the values, we get,1.4 = 900/3000 * x + 2100/3000 * 1.4where x is the portfolio beta of the $900 invested share.Simplifying the equation, we get,1.4 = 0.3x + 0.98.

Multiplying by 10 on both sides, we get,14 = 3x + 9.8Solving for x, we get,x = (14 - 9.8)/3= 1.4.

Therefore, the portfolio beta of the share in which $900 is invested is 1.4. To get this result, we have calculated the weighted average of the portfolio beta using the formula:

Weighted average of portfolio beta = ∑wᵢβᵢ / ∑wᵢwhere, w = weight or amount invested and β = portfolio beta. We have also shown the steps of simplifying the equation and solving for x.

Thus, the portfolio beta of the share in which $900 is invested is 1.4.

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The statement that is true is:

The probability that a randomly selected player on Team C is 10 years old is 5/16.

Option A is the correct answer.

We have,

The probability that a randomly selected player on Team C is 10 years old.

= Number of 10 years old players in Team C / Total players in Team C

= 5./16

The probability that a randomly selected player on Team A is 8 years old.

= Number of 8 years old players in Team A / Total players in Team A

= 4/15

The probability that a randomly selected 8-year-old player is on Team C.

= Number of 8 years old players in Team C / Total  8 years old players

= 8/21

The probability that a randomly selected 10-year-old player is on Team B.

= Number of 10 years old players in Team C / Total 10 years old players

= 5/14

Thus,

The probability that a randomly selected player on Team C is 10 years old is 5/16.

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Answer:

Step-by-step explanation:

1 1/3 cups peanut butter

proof:

1 1/3 +1 1/3+1 1/3+1 1/3+1 1/3+1 1/3 = 8 cups

The average rate of change in the stock's price between 2014 and 2020 would be $ 1. 89

The formula to find the average rate of change between the two periods is :

Average rate of change = (Stock price in 2020 - Stock price in 2014) / Number of years

The question gives the following details :

Stock price in 2020 = $ 37 .22

Stock price in 2014 = $ 25 .86

The average rate of change is;

= (  37. 22 - 25. 86 ) / 6

= 11. 36 / 6

= $ 1. 89

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The distance between the points (0, 0, 0) and (-2, 6, 3) is 7 units.

To find the distance between the two given points, (0, 0, 0) and (-2, 6, 3), we can utilize the distance formula in three-dimensional space.

The distance formula between two points (x1, y1, z1) and (x2, y2, z2) is given by:

\(d = \sqrt{[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2] }\)

Using this formula, we can calculate the distance between the points (0, 0, 0) and (-2, 6, 3):

\(d = \sqrt{[(-2 - 0)^2 + (6 - 0)^2 + (3 - 0)^2] }\)

\(= \sqrt{[(-2)^2 + 6^2 + 3^2] }\)

\(= \sqrt{[4 + 36 + 9] }\)

\(= \sqrt{49}\)

= 7

Therefore, the distance between the points (0, 0, 0) and (-2, 6, 3) is 7 units.

This calculation involves finding the differences in the x, y, and z coordinates of the two points, squaring each difference, summing them, and finally taking the square root to obtain the distance.

The result indicates that the points are 7 units apart from each other in space.

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The sum in summation notation of the expression (a) 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is ΣX from 1 to 4. In other words, it represents the summation of X over the range 1 to 4.

In summation notation, the expression (a) 1 + 2 + 3 + 4 + X5 can be written as ΣX, where X takes the values from 1 to 4. The capital sigma (Σ) represents the summation operator, and the variable X is summed over the range 1 to 4. This means that we need to substitute X with each value from 1 to 4 and add them together.

When we evaluate the expression, we have:

ΣX = 1 + 2 + 3 + 4 = 10

However, the expression also includes X5, indicating that X takes the value 5 as well. Therefore, we add 5 to the sum:

ΣX = 10 + 5 = 15

So, the sum of 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is equal to 15.

Moving on to expression (b) y2 + y3 + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, we can express it in summation notation as ΣY from 1 to 3. This represents the summation of Y over the range 1 to 3.

Since Y has a different value for each term, we simply substitute Y with each value from 1 to 3 and add them together:

ΣY = y₁ + y₂ + y₃ = -1 + (-0.5) + 0 = -1.5

Hence, the sum of y₂ + y₃ + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, is equal to -1.5.

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