In the figure, the vertices of are ( 0, 6 ), ( 8, 0 )and ( 5, 8 ). If ⊥ , then find
the length of altitude �

Answer:

x = 4

y = 2

Step-by-step explanation:

{y = x - 2,

{5x + 4y = 28;

Replace y in the second equation with the 1st equation's value:

5x + 4(x - 2) = 28

5x + 4x - 8 = 28

9x = 28 + 8

9x = 36 / : 9

x = 4

y = 4 - 2 = 2

The solutions for y are:

We can simplify the expression sqrt(160) by factoring 160 into its prime factors:

160 = 2^5 * 5

Taking the square root of each factor, we get:

sqrt(160) = sqrt(2^5 * 5) = sqrt(2^4 * 2 * 5) = 2^2 * sqrt(2 * 5) = 4 * sqrt(10)

Therefore, we can simplify the expression for y as follows:

y = (7 +- sqrt(160))/10 = (7 +- 4sqrt(10))/10

So the solutions for y are:

y = (7 + 4sqrt(10))/10

y = (7 - 4sqrt(10))/10

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Answer:

the total answer is 41.89 ft square

Step-by-step explanation:

i dont have it separately sorry

Answer:

I think the answer is

1760

The given statement, points that minimize a nonlinear function are inherently less accurately determined than points for which a nonlinear function has a zero value is FALSE.

In mathematics, a nonlinear function is a function that is not linear, i.e. a function whose graph is not a straight line. Simplest non-linear functions are quadratic function, exponential function and logarithmic functions. Nonlinear functions do not follow the superposition principle, which is fundamental to linear systems, which states that if the input is scaled by any factor, then the output will also be scaled by that factor.

Points that minimize a nonlinear function are inherently less accurately determined than points for which a nonlinear function has a zero value. The above statement is false because the points that minimize a nonlinear function can be determined more accurately than the points where the nonlinear function has zero value.

Also, there is no such rule that the points that minimize a nonlinear function are less accurate than points for which a nonlinear function has a zero value.

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No, a non-complex equation cannot have two horizontal asymptotes. A horizontal asymptote is a line that a function approaches as the input variable increases or decreases without bounds.

Since a non-complex equation represents a single function, it cannot have more than one horizontal asymptote. A non-complex equation cannot have two vertical asymptotes. A vertical asymptote is a vertical line that a function approaches as the input variable approaches a certain value. Again, since a non-complex equation represents a single function, it cannot have more than one vertical asymptote. If a complex number is used as the input variable in an equation, the equation can pass through a vertical asymptote since the notion of "approaching" a point does not apply to complex numbers. However, the concept of a horizontal asymptote does not apply to complex numbers since there is no notion of "increasing" or "decreasing" in the complex plane.

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Answer:

381.7 cubic inches.

The brace must be approximately 38.1 cm long.

To find the length of the brace for the closet rod holder,

we can use the Pythagorean theorem,

which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the vertical side is 15 cm and the horizontal side is 35 cm.

Let's call the length of the brace (the hypotenuse) "c".

According to the Pythagorean theorem:
[tex]c^2 = (15 cm)^2 + (35 cm)^2[/tex]
[tex]c^2 = 225 cm^2 + 1225 cm^2[/tex]
[tex]c^2 = 1450 cm^2[/tex]
Now, to find the length of the brace, we need to take the square root of both sides:
[tex]c = \sqrt{(1450 cm^2)}[/tex]
c ≈ 38.1 cm.

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Answer:

y in (7,y) = 14

Step-by-step explanation:

A General Linear function is as the following:

y = mx + c, Where: m: slope of the line, c: y-intercept

Given that:

Point 1 (P1) = (1,5)

Point 2 (P2) = (3, 11)

Point 3 (P3) = (7,y)

By substituting in the linear function with P1:

5 = m + c  ---> (1)

By substituting in the linear function with P2:

11 = 3m + c   ---> (2)

By multiplying equation (1) times 3 and subtracting eq. (2) from it:

(15 = 3m + 3c) - (11 = 3m + c) =

4 = 2c

Then, c = 2

By substituting with "c" in eq. (1):

5 = m + 2

Then, m = 3

Hence,

the function of this line is:

y = 3x + 2

So,

to get "y" in P3, we are going to substitute with 7:

y = 3(7) + 2

then "y" in P3 = 23


Another Solution:

by getting the slope of the line:

[tex]Slope = \frac{\triangle y}{\triangle x}[/tex] Where: Δy: change in y points, Δx: change in x points

by utilizing P1 & P2 in slope formula:

[tex]slope = \frac{11 - 5}{3 - 1} = \frac{6}{2} = 3[/tex]

By substituting with P1 in the linear function:

5 = 3 + c

Then, c = 2

the function of the line is:

y = 3x + 2

So,

to get "y" in P3, we are going to substitute with 7:

y = 3(7) + 2

then "y" in P3 = 23



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a) Ratio analysis is a financial analysis tool that helps to evaluate the financial performance and health of a business by comparing different financial figures

b) There are three categories of ratios in ratio analysis: liquidity ratios, profitability ratios, and solvency ratios.

c) Ratio analysis is important because it helps to provide a quick snapshot of a company's financial health and performance.

Ratio analysis is a financial analysis tool that helps to evaluate the financial performance and health of a business by comparing different financial figures. It involves calculating and interpreting various ratios that provide insight into the financial position, profitability, and liquidity of a company.

There are three categories of ratios in ratio analysis

Liquidity ratios: These ratios help to determine a company's ability to meet its short-term financial obligations. Examples include the current ratio and the quick ratio.

Profitability ratios: These ratios help to evaluate a company's ability to generate profit in relation to its revenue, assets, and equity. Examples include the gross profit margin, net profit margin, and return on assets.

Solvency ratios: These ratios help to assess a company's ability to meet its long-term financial obligations. Examples include the debt-to-equity ratio and the interest coverage ratio.

Ratio analysis is important because it helps to provide a quick snapshot of a company's financial health and performance. It is useful for investors, lenders, and other stakeholders in making informed decisions about investing in or lending to a company.

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Answer: the value of x is 29

Step-by-step explanation:

Answer:

it's in the attachment

Step-by-step explanation:

the one that are the same value as the given value on the transversals are either opposite interior angles or opposite exterior angles

the ones that have different values as the given value on the transversal are subtracted from 180⁰

According the given question the slοpe is 3/4.

Calculated using the slοpe οf a line fοrmula, the ratiο οf "vertical change" tο "hοrizοntal change" between twο different lοcatiοns οn a line is determined. The difference between the line's y and x cοοrdinate changes is knοwn as the slοpe οf the line.Any twο distinct places alοng the line can be used tο determine the slοpe οf any line.

Here the accοrding to the table , let us take any twο coordinates are,

[tex](x_1,y_1)=(4,6) , (x_2,y_2)=(8,3)[/tex]

Nοw using slope formula then,

=> Slοpe m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> Slοpe m = [tex]\frac{6-3}{8-4}=\frac{3}{4}[/tex]

Hence the slοpe οf the linear function is 3/4.

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Therefore, the probability that a student who did not complete the homework passed the test is 2/5 or 0.4 (or 40%).

Probability is a measure of the likelihood of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

To calculate the probability of an event, we divide the number of favorable outcomes by the total number of possible outcomes. For example, if we toss a fair coin, the probability of getting heads is 1/2 because there is one favorable outcome (getting heads) out of two possible outcomes (getting heads or tails).

Let's define the following events:

A: passing the test

B: completing the assignment

We know that:

[tex]P(A) = 18/28 = 9/14[/tex] (since 18 students out of 28 passed the test)

[tex]P(B) = 19/28[/tex] (since 19 students out of 28 completed the assignment)

P (A ∩ B) = P(B) = 19/28 (since every student who completed the assignment also took the test)

We want to find P (A | not B), which represents the probability of passing the test given that the student did not complete the assignment.

Using Bayes' theorem, we have:

P (A | not B) = P (not B | A) * P (A) / P (not B)

We know that:

P (not B | A) = P (A' ∩ B') / P(A') = 7/28 / 10/28 = 7/10 (since 7 students failed the test and did not complete the assignment)

P (not B) = 1 - P(B) = 9/28 (since not completing the assignment is the complement of completing the assignment)

Plugging in these values, we get:

[tex]P(A | not B) = (7/10) * (9/14) / (9/28)[/tex]

[tex]P(A | not B) = 2/5[/tex]

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The solution to the equation is 3[tex]z^{2}[/tex] - [tex]z^{3}[/tex] = 5z + 1 and it has been obtained by using the arithmetic operations.

What are arithmetic operations?

All real numbers can be described by the four fundamental operations, sometimes known as "arithmetic operations." Operations like quotient, product, sum, and difference come before operations like division, multiplication, addition, and subtraction in mathematics.

We are given an equation as:

[tex]\frac{z+1}{z-1}[/tex] - [tex]\frac{z}{3}[/tex] = [tex]\frac{2}{z-1}[/tex]

Now, we will simplify the equation first.

⇒ [tex]\frac{z+1}{z-1}[/tex] - [tex]\frac{z}{3}[/tex] = [tex]\frac{2}{z-1}[/tex]

⇒ [tex]\frac{3(z+1) - z(z-1)}{3 (z-1)}[/tex] = [tex]\frac{2}{z-1}[/tex]

Now, on cross multiplying we get,

⇒[3 (z + 1) - z (z - 1)] * (z - 1)  = 2 (3z - 1)

⇒[3z + 3 - [tex]z^{2}[/tex] - z] * (z - 1)  = 6z - 2

⇒3[tex]z^{2}[/tex] + 3z - [tex]z^{3}[/tex] - [tex]z^{2}[/tex] - 3z - 3 + [tex]z^{2}[/tex] + z = 6z - 2

⇒3[tex]z^{2}[/tex] - [tex]z^{3}[/tex] - 3 + z = 6z - 2

⇒3[tex]z^{2}[/tex] - [tex]z^{3}[/tex] = 5z + 1

Hence, the required solution has been obtained.

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Answer:  42

Step-by-step explanation:

  6x7=42 ft

The probability that the shipment came from company X, given one ineffective vial was found, is 0.4 or 40%.

To find the probability ,we will use the Bayes' theorem.

Determine the prior probabilities.

P(X) = Probability that the shipment is from company X = 1/5

P(Y) = Probability that the shipment is from other companies = 1 - 1/5 = 4/5

Determine the likelihood probabilities.

P(I|X) = Probability of finding an ineffective vial given the shipment is from company X = 8%

P(I|Y) = Probability of finding an ineffective vial given the shipment is from other companies = 3%

Determine the probability of finding an ineffective vial.

P(I) = P(I|X) × P(X) + P(I|Y) × P(Y) = (8% × 1/5) + (3% × 4/5)

     = 0.08 × 0.2 + 0.03 × 0.8 = 0.016 + 0.024

     = 0.04

Use Bayes' theorem to find the probability that the shipment is from company X given an ineffective vial.

P(X|I) = (P(I|X) × P(X)) / P(I)

        = (0.08 × 0.2) / 0.04 = 0.016 / 0.04

        = 0.4

The probability that the shipment came from company X, given one ineffective vial was found, is 0.4 or 40%.

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classify the different measurement systems into one of the four types

of scales. (Exercise)

1. Your checking account number as a name for your account.

2. Your checking account balance as a measure of the amount of money you

have in that account

3. The order in which you were eliminated in a spelling bee as a measure of your

spelling ability.

4. Your score on the first statistics test as a measure of your knowledge of

statistics.

5. Your score on an individual intelligence test as a measure of your

intelligence.

6. The distance around your forehead measured with a tape measure as a

measure of your intelligence.

7. A response to the statement "Abortion is a woman's right" where "Strongly

Disagree" = 1, "Disagree" = 2, "No Opinion" = 3, "Agree" = 4, and "Strongly

Agree" = 5, as a measure of attitude toward abortion.

8. Times for swimmers to complete a 50-meter race

9. Months of the year Meskerm, Tikimit…

10.Socioeconomic status of a family when classified as low, middle and upper

classes.

11. Blood type of individuals, A, B, AB and O.

12.Pollen counts provided as numbers between 1 and 10 where 1 implies there is

almost no pollen and 10 that it is rampant, but for which the values do not

represent an actual counts of grains of pollen.

13.Regions numbers of Ethiopia (1, 2, 3 etc.)

14.The number of students in a college;

15.the net wages of a group of workers;

16.the height of the men in the same town;

Account I.

$822.12

$17.88

The answer of the given question based on expression is  the value of p that satisfies the given condition is -2.

The binomial theorem is a fundamental concept in algebra that provides a formula for expanding expressions of the form (a + b)ⁿ, where n is a non-negative integer and a and b are real numbers. The formula is as follows:

(a + b)ⁿ = C(n, 0)aⁿ b⁰ + C(n, 1)a⁽ⁿ⁻¹⁾ b¹ + ... + C(n, r)a⁽ⁿ⁻r⁾ b^r + ... + C(n, n)a⁰bⁿ

The binomial theorem states that the nth power of a binomial can be expanded as the sum of the products of each term in the binomial raised to a power and the corresponding binomial coefficient. The binomial coefficient represents the number of ways of choosing r objects from a set of n objects, and is often denoted by "n choose r" or written as a combination symbol, (nCr).

We can use the binomial theorem to expand the given expression as:

(2-3px) (4x⁴ + 5x₃ - x) = 8x⁴ + 10x³ - 2x - 12px⁵ - 15px⁴ + 3px²

To find the coefficient of x⁴ in this expansion, we need to look at the terms that contain x⁴. There are two such terms: 8x⁴ and -15px⁴. Therefore, the coefficient of x⁴ is 8 - 15p.

We are given that this coefficient is 38, so we can set up the equation:

8 - 15p = 38

Solving for p, we get:

-15p = 30

p = -2

Therefore, the value of p that satisfies the given condition is -2.

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f(x) = 12x and  [tex]g(x)= \sqrt{x-12}[/tex] both include domain values of [12, ∞), and both functions increase over the interval (12, ∞).

The set containing all input values is known as a function's domain while a function's range is the collection of all possible output values.

Function f(x) is defined by: f(x) = 12x.

Function g(x) is defined by: [tex]g(x)= \sqrt{x-12}[/tex]

Therefore, the correct option is (d) Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).

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the values that represent the probability of the team not winning.

b) 0.25

d) 25%

e) 3/4

f) 1/4

These values represent the probability of the team not winning, which is the complement of the probability of winning (75%).

b) 0.25 is the decimal representation of the probability of not winning, which is 1-0.75.      

d) 25% is the percentage representation of the probability of not winning, which is also 100%-75%.

e) 3/4 is the fraction representation of the probability of winning, so 1-3/4 gives the probability of not winning.

f) 1/4 is the fraction representation of the probability of not winning, which is the complement of the probability of winning (3/4).

These are the options that represent the probability of the team not winning.

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A sportscaster predicted that the local high school baseball team has a 75% chance of winning tonight. Select all of the values that represent the probability of the team not winning.

a)0.75 b)25% c)0.25d) 75%e)3/4f)1/4

Answer:

The solution to the system of equations is (-1/2, 3).

Step-by-step explanation:

To solve this system of equations using substitution method, we first need to solve one of the equations for one of the variables in terms of the other variable. Let's solve the first equation for y:

-2x + y = 4

y = 2x + 4

Now we can substitute 2x + 4 for y in the second equation:

-2x + 2y = 7

-2x + 2(2x + 4) = 7

Simplifying the equation:

-2x + 4x + 8 = 7

2x = -1

x = -1/2

Now we can use this value of x to find the value of y:

y = 2x + 4

y = 2(-1/2) + 4

y = 3

The correct representations of the inequality –3(2x – 5) < 5(2 – x) are:

-6x - 5 < 10 - x

-6x + 15 < 10 - 5x

Therefore, the first and second options are the correct representations.

For the number line, we first need to solve the inequality for x:

-3(2x - 5) < 5(2 - x)

-6x + 15 < 10 - 5x

-x < -5

x > 5

Using this solution, we can plot the open circle at 5 and the bold line pointing to the right on a number line from -3 to 3 in increments of 1. This matches the first option provided. The second option represents a number line with an open circle at -5 and a bold line pointing to the left, which does not correctly represent the solution to the inequality.

Answer:

[tex] \frac{25}{121} [/tex]

Step-by-step explanation:

Given:

r (dartboard) = 11 m

r (shaded area) = 5 m

π = 3,14

First, let's find the area of the dartboard:

A (dartboard) = πr^2 = 3,14 × 121 = 379,94 m^2

A (shaded area) = 3,14 × 25 = 78,5 m^2

Let's call this event A:

A - "A dart must hit the shaded area":

All outcomes:

n = 379,94

Favorable outcomes:

m(A) = 78,5

[tex]p(a) = \frac{78.5}{379.94} = \frac{25}{121} [/tex]

I assume, this is the right answer

a=b, The curve approaches the line y=a as x approaches infinity or negative infinity.

since the y-intercept is the point where the curve intersects the y-axis, i.e., x=0.

Since we have (0, a) as our y-intercept, then a=b, where a and b are constants.

The y-intercept, as indicated in the question, is (0, a) meaning that for the function f(x), when x=0, then f(x) = a.

The horizontal asymptote of a function is a horizontal line that the graph approaches as x approaches infinity or

negative infinity.

If the horizontal asymptote is y=b, it means that the value of y approaches b as x approaches infinity or negative infinity.

Therefore, since a=b, the curve approaches the line y=a as x approaches infinity or negative infinity.

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The relatiοn is nοt a functiοn. The cοrrect answer is "Nο, because fοr each input there is nοt exactly οne οutput."

Lοοking at the given pοints, we can see that the input x = -5 has an οutput y = 1, and the input x = 5 alsο has an οutput y = 1.

This means that there are twο different inputs (x-values) that cοrrespοnd tο the same οutput (y-value), viοlating the definitiοn οf a functiοn.

Tο determine if the relatiοn is a functiοn, we need tο check if fοr each input (x-value), there is exactly οne οutput (y-value).

Therefοre, the relatiοn is nοt a functiοn. The cοrrect answer is "Nο, because fοr each input there is nοt exactly οne οutput."

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The graph which shows a system of linear-equations with one unique solution at (0,5) is option-B which shows lines, intersecting at (0,5).

What is system of linear equations?

The collection of two or more linear equations is called as system of linear equations. The linear equations have the degree of variable as one. Though a single linear equation can have infinite number of solutions, but a pair of linear equation can be classified as consistent or inconsistent. The equations which are consistent have either one solution or infinte solutions. The intersecting pair of consistent equations have unique solution whereas the coinciding pair of consistent equations have infinite number of solutions. The equations which are inconsistent are the parallel lines which do not have any solution.

Here the system must have one unique solution as (0,5)

a)graph as parallel lines: which means they are inconsistent & do not have any solution.

b)The graph shows lines intersecting at (0,5): which means the system is consistent with unique solution (0,5)

c)The graph shows lines intersecting at (1,6): which means the system is consistent with unique solution (1,6)

d)graph shows two lines which appear as one: means the lines are coinciding with infinite solutions.

So the answer is option-B

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In terms of using specific terms in your answer, you should incorporate any keywords or phrases from the student's question that are relevant to your response.

For example, in response to the question "a restaurant wants to know if its customers like its new menu. in surveys 100 randomly selected customers over one week. what is the population in this study?" you might write:"

In this study, the population refers to the entire group of customers who might potentially like or dislike the restaurant's new menu.

While the study only surveyed 100 randomly selected customers over one week, the population could include all customers who visited the restaurant during that time period or even a larger group of potential customers who have not yet visited the restaurant."

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