Calculate the area and perimeter of the polygon.

Answer:

8, 26 and 19

Step-by-step explanation:

Perimeter is the length of all sides of a polygon. It is simply the length of the boundary around a closed shape. Perimeter of a triangle = Sum of all three sides.

Hence,

\(\Rightarrow\) n + 3n + 2 + 4n - 13 = 69 (acc. to Q)

\(\Rightarrow\) n + 3n + 4n + 2 - 13 = 69

\(\Rightarrow\) 8n - 11 = 69

\(\Rightarrow\) 8n = 80

\(\Rightarrow\) n = 80/10

\(\Rightarrow\) n = 8

Length of all three sides:

Answer:

Automatic Method: 6000

Exact Method: 5625

Step-by-step explanation:

I dont have one, sorry.

We have to find the value of  `(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)`

Let's find all trigonometric ratios:

We can say that:

\($$\tan \theta= \frac{opp}{adj}= \frac{-4}{3}$$$$\text\)

{Using the Pythagorean Theorem we can find the hypotenuse }

\($$$$\text{Hypotenuse = } \sqrt{(-4)^2+(3)^2}\)

\(= \sqrt{16+9}\)

= \(\sqrt{25}\)

=\(5$$$$\)

Substituting the values of sinθ, cosθ and tanθ in `

\(= \frac{\frac{3}{5} + \frac{-4}{5} - \frac{-4}{3}}{\frac{-4}{5} + \frac{5}{3} - \frac{-3}{4}}$$$$\)

\(=\frac{\frac{9}{15} + \frac{-12}{15} + \frac{20}{15}}{\frac{-16}{20} + \frac{25}{12} + \frac{3}{4}}$$$$\)

\(=\frac{\frac{17}{15}}{\frac{-14}{15}}$$$$\)

\(=-\frac{17}{14}$$\)

Therefore, \(`(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)\)` is equal to

`-17/14` when `tanθ=−43` (Quadrant II).

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Answer:

2, -2, and 0.

Explanation:

First, we need to factorize the left side of the equation as:

(x² + 4)² + 32 = 12x² + 48

(x² + 4)² + 32 = 12( x² + 4)

Now, we need to substitute a = x² + 4, so:

a² + 32 = 12a

So, solving for a, we get:

a² + 32 - 12a = 12a - 12a

a² + 32 - 12a = 0

a² - 12a + 32 = 0

(a - 8)(a - 4) = 0

Then:

a - 8 = 0

a - 8 + 8 = 0 + 8

a = 8

or

a - 4 = 0

a - 4 + 4 = 0 + 4

a = 4

Then, a is equal to x² + 4, so replacing a by x² + 4 on each solution for a, we get:

For a = 8:

x² + 4 = 8

x² + 4 - 4 = 8 - 4

x² = 4

x = ±√4

x = ± 2

For a = 4:

x² + 4 = 4

x² + 4 - 4 = 4 - 4

x² = 0

x = 0

Therefore, the solutions for x are 2, -2, and 0.

Answer:

..........

..........

....

x

i

an

Answer:

119.1

Step-by-step explanation:

Pt+1=1.06x100

P3=106^3x100

=119.1016

Answer:

An equation that satisfies all three pairs of a and b values listed in the table include the following: C. 3a - b = 10

Step-by-step explanation:

How to determine an equation that satisfies all three pairs of a and b values listed in the table?

In order to determine an equation that satisfies all three pairs of a and b values listed in the table, we would substitute each of the numerical values corresponding to each variable into the given equations and then evaluate as follows;

a - 3b = 10

0 - 3(-10) = 30 (False).

3a + b = 10

3(0) - 10 = -10 (False).

3a - b = 10

3(0) - (-10)

0 + 10 = 10 (True).

3a - b = 10

3(1) - (-7)

3 + 7 = 10 (True).

3a - b = 10

3(2) - (-4)

6 + 4 = 10 (True)

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Complete Question:

Which equation satisfies all three pairs of a and b values listed in the table?

a b

0 -10

1 -7

2 -4

The equation is?

A.) a-3b=10

B.) 3a+b=10

C.) 3a-b=10

D.) a+3b=10

The output word of BATS into the machine, the output would be AZSR.

What is logical reasoning?

In logical reasoning, premises and the relationships between them are rigorously employed to infer conclusions that are suggested (or contended) by the premises and the relationships. Technology and artificial intelligence philosophy diagnoses various varieties of logical reasoning.

By using reasoning skills to take an unbiased look at any issue, logical questioning aids in reaching a logical conclusion about how to move forward. For instance, if we are having problems at work, we will use the information at our disposal and our logical thinking skills to solve the problem.

Explanation:

If the letter is ‘A’, it changes it to ‘Z’.

like the same way,

‘B’, it changes to ‘A’

‘A’, it changes to ‘Z’

‘T’, it changes to ‘S’

‘S’, it changes to ‘R’

Therefore, The output word of BATS into the machine, the output would be AZSR.

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The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

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Answer:

one-hundred six-thousand four-hundred fifty-one

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

no it is not

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Because if you draw a vertical line anywhere it should not intersect the graph more than once if is a function

Answer:

400

Step-by-step explanation:

4*10^6=4,000,000 and 1*10^4=10,000

4,000,000/10,000 is 400

Answer:

-1/3 or 1/2.

Step-by-step explanation:

Second term = ar, the third = ar^2 and the fourth = ar^3.

So we have the equation:

ar + ar^2 = 6ar^3

r + r^2 = 6r^3

6r^3 - r^2 - r = 0

r(6r^2 - r - 1) = 0

(3r + 1 )(2r -1) = 0

r = -1/3, 1/2.

the average waiting time cannot be determined when all five checkout lanes are being used.

To calculate the average waiting time when all five checkout lanes are being used, we can use queuing theory and the Little's Law formula.

Little's Law states that the average number of customers in a system (L) is equal to the average arrival rate (λ) multiplied by the average time a customer spends in the system (W).

L = λ * W

Given:

Number of checkout lanes (m) = 5

Average checkout time per customer (μ) = 3 minutes (since each clerk takes 3 minutes on average to checkout a customer)

Arrival rate (λ) = 70 customers per hour

First, we need to calculate the arrival rate per lane when all five lanes are being used. Since there are five lanes, the arrival rate per lane will be λ/m:

Arrival rate per lane = λ / m

= 70 customers per hour / 5 lanes

= 14 customers per hour per lane

Next, we can calculate the average time a customer spends in the system (W) using the formula:

W = 1 / (μ - λ)

where μ is the average service rate and λ is the arrival rate per lane.

W = 1 / (3 - 14)

W = 1 / (-11)

W = -1/11 (since the service rate is smaller than the arrival rate, resulting in negative waiting time)

However, negative waiting time is not meaningful in this context. It indicates that the system is not stable or the service rate is insufficient.

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Answer:

.1km

Step-by-step explanation:

The tractor can move .01 km in a second so 10 times .01 is .1

so the tractor can move .1km every 10 seconds

1 hour = 3600 seconds

10 seconds is 10/3600 = 1/360 of an hour

36 km per hour x 1/360 of an hour = 0.1 km (100 meters)

Answer:

1x+5

Step-by-step explanation:

Answer:

fjhghjjjjjjjf

Step-by-step explanation:

教えて 教えてよ その仕組みを 僕の中に誰がいるの?

壊れた 壊れたよ この世界で 君が笑う 何も見えずに

壊れた僕なんてさ 息を止めて

ほどけない もう ほどけないよ 真実さえ freeze

壊せる 壊せない 狂える 狂えない

あなたを見つけて 揺れた

歪んだ世界にだんだん僕は 透き通って見えなくなって

見つけないで 僕のことを 見つめないで

誰かが描いた世界の中で あなたを傷つけたくはないよ

覚えていて 僕のことを

鮮やかなまま

無限に広がる孤独が絡まる 無邪気に笑った記憶が刺さって

動けない 動けない 動けない 動けない 動けない 動けないよ

Unravelling the world

変わってしまった 変えられなかった

2つが絡まる 2人が滅びる

壊せる 壊せない 狂える 狂えない

あなたを汚せないよ 揺れた教えて 教えてよ その仕組みを 僕の中に誰がいるの?

壊れた 壊れたよ この世界で 君が笑う 何も見えずに

壊れた僕なんてさ 息を止めて

ほどけない もう ほどけないよ 真実さえ freeze

壊せる 壊せない 狂える 狂えない

あなたを見つけて 揺れた

歪んだ世界にだんだん僕は 透き通って見えなくなって

見つけないで 僕のことを 見つめないで

誰かが描いた世界の中で あなたを傷つけたくはないよ

覚えていて 僕のことを

鮮やかなまま

無限に広がる孤独が絡まる 無邪気に笑った記憶が刺さって

動けない 動けない 動けない 動けない 動けない 動けないよ

Unravelling the world

変わってしまった 変えられなかった

2つが絡まる 2人が滅びる

壊せる 壊せない 狂える 狂えない

あなたを汚せないよ 揺れた

The number of solutions of the equation that goes with the graph shown is given as follows:

One.

The zeros of a function are the values of the input x for which the output y of the function assumes a value of y.

On the graph of a function, the zeros of a function are the values of x for which the graph either touches or crosses the x-axis.

The zeros of a function also give the number of solutions that the given function has.

Hence, in this problem, the function has one solution, which is of x = -1, where the graph of the function touches the x-axis.

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Answer:

Slope of line A= -1/3

B=-1

C= -5/4

Step-by-step explanation:

Use: slope m= y-y1/ x-x1

For the function f(x) = 16 - x²/³, there are no values of c in the interval (64, 64) such that f'(c) = 0. In other words, there are no critical points in that interval.

For the function f(x) = (x - 3)⁻², there are no values of c in the interval (2, 5) such that f(5) - f(2) = f(c)(5 - 2). In this case, the equation does not hold for any value of c in the given interval.

1. For the function f(x) = 16 - x²/³, we need to find the critical points by finding the values of c where f'(c) = 0. Taking the derivative of f(x) with respect to x, we get:

f'(x) = -2x^(1/3)

Setting f'(x) = 0, we have:

-2x^(1/3) = 0

This equation has no real solutions, which means there are no critical points in the interval (64, 64).

2. For the function f(x) = (x - 3)⁻², we are given the equation f(5) - f(2) = f(c)(5 - 2). Let's evaluate the expressions:

f(5) = (5 - 3)⁻² = 1/4

f(2) = (2 - 3)⁻² = 1

Substituting these values into the equation, we have:

1/4 - 1 = f(c)(5 - 2)

-3/4 = 3f(c)

f(c) = -1/4

Now, we need to find the value(s) of c in the interval (2, 5) that satisfy f(c) = -1/4. However, when we solve for c, we find that there is no solution. Therefore, there are no values of c in the given interval that satisfy the equation.

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The meaning to translate a triangle type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Lets take an example:

ΔXYZ with coordinates,

X(-9,6) , Y(2,3) AND Z(-2,-8).

Translation:

X - 3 units in x direction

Y - 3 units in x direction

Z - 3 units in x direction

After translation:

New coordinates are represented in yellow dots in the figure uploaded.

X(-9,6)→X(-9+3,6)→X(-6,6)

Y(2,3)→Y(2+3,3)→Y(5,3)

Z(-2,-8)→Z(-2+3,-8)→Z(1,-8)

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When performance on a single dimension affects the evaluation of other performance dimensions, the rater is committing a halo error. The term that refers to the degree to which a predictor variable produces consistent results over time is reliability. The extent to which a measure (intelligence test) is predictive of an outcome measure (performance) is known as criterion-related validity.

A halo error occurs when a rater's evaluation on one specific dimension influences their evaluation on other dimensions. This happens when an overall positive or negative impression of an individual's performance leads to biased evaluations across different dimensions. Therefore, the correct answer is option (d) - halo error.

Reliability refers to the consistency and dependability of a predictor variable in producing similar results over time. It indicates the degree to which measurements or assessments can be trusted and replicated. Thus, option (c) - reliability - is the appropriate choice.

Criterion-related validity is the term used to describe the extent to which a measure is predictive of a specific outcome or criterion. It examines the relationship between the measure (such as an intelligence test) and the performance or outcome it is intended to predict. Therefore, option (a) - criterion-related validity - is the correct answer.

In summary, a halo error occurs when performance on one dimension affects the evaluation of other dimensions, reliability refers to the consistency of a predictor variable's results over time, and criterion-related validity measures the extent to which a measure is predictive of an outcome.

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Answer:

Equation of the line (slope-intercept form):  y = 2/3x + 4

Step-by-step explanation:

We can find the equation in slope-intercept form, whose general form is

y = mx + b, where

y-intercept, b:  We see on the graph that the line intersects the y-axis at the point (0, 4).  Thus, the y-intercept (b in the slope-intercept equation) is 4.

Slope, m:  We can find the slope using the slope formula, which is

m = (y2 - y1) / (x2 - x1), where

We see from the line intersects the x-axis at (-6, 0).  Thus, we can allow (-6, 0) to be our (x1, y1) point and (0, 4) to be our (x2, y2) point:

m = (4 - 0) / (0 - (-6))

m = (4) / (0 + 6)

m = 4 / 6

m = 2/3

Since the slope of the line is 2/3 and the y-intercept is 4, the equation of the line is y = 2/3x + 4

Answer:

What are all the other numbers for up there

Step-by-step explanation:

In an analysis of variance, you reject the null hypothesis when the F ratio is:
b. much larger than 1.

Here's a step-by-step explanation:
1. The null hypothesis states that there are no significant differences among the groups being compared.
2. Variance is the measure of how much the individual data points in a dataset vary from the mean.
3. The F ratio is the ratio of two variances, specifically, the variance between group means and the variance within groups.
4. When the F ratio is much larger than 1, it indicates that the variance between group means is much larger than the variance within groups.
5. This suggests that there is a significant difference among the group means, leading to the rejection of the null hypothesis.

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Answer:

  (x, y) = (-1/6, 1/4)

Step-by-step explanation:

This is a system of equations in expressions of two variables. You could solve it by expanding the expressions to the base variables, or you could solve it by first finding the values of the expressions.

Let's see what happens when we expand the equations all the way.

First equation:

  \(\dfrac{1}{2}(x +2y)+\dfrac{5}{3}(3x-2y)=-\dfrac{3}{2}\\\\3(x+2y)+10(3x-2y)=-9\qquad\text{multiply by 6}\\\\3x+6y+30x-20y=-9\qquad\text{eliminate parentheses}\\\\\boxed{33x-14y+9=0}\qquad\text{collect terms, add $9$ to get general form}\)

__

Second equation:

  \(\dfrac{5}{4}(x+2y)-\dfrac{3}{5}(3x-2y)=\dfrac{61}{60}\\\\75(x+2y)-36(3x-2y)=61\qquad\text{multiply by 60}\\\\75x+150y-108x+72y=61\qquad\text{eliminate parentheses}\\\\-33x +222y = 61\qquad\text{collect terms}\\\\\boxed{33x-222y+61=0}\qquad\text{write in general form}\)

__

The solution process looks like it might be messy for either substitution or elimination, so we choose to solve these equations using the cross-multiplication method.

  Δ1 = (33)(-222) -(33)(-14) = -6864

  Δ2 = (-14)(61) -(-222)(9) = 1144

  Δ3 = (9)(33) -(61)(33) = -1716

  x = Δ2/Δ1 = 1144/-6864 = -1/6

  y = Δ3/Δ1 = -1716/-6864 = 1/4

The solution is (x, y) = (-1/6, 1/4).

_____

Additional comment

The weird numbers notwithstanding, the solution by elimination might be easily achieved by subtracting the second equation from the first. This would give ...

   208y -52 = 0   ⇒   y = 52/208 = 1/4

Direct substitution of this into either equation will require arithmetic with fractions to obtain the solution for x.

This system can be directly solved by a graphing calculator using the equations as given.

__

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Step-by-step explanation:

Given equation are: [1/{2(x+2y)}] + [5/{3(3x-2y)}] = -3/2 →Eqn(1)

[5/{4(x+2y)}] - [3/{5(3x-2y)}] = 61/60 →Eqn(2)

Let {1/(x+2y)} = a ; {1/(3x-2y)} = b then

{1/(2a)} + {5/(3b)} = -3/2 →Eqn(3) * 5/2

{5/(4a)} - {3/(5b)} = 61/60 →Eqn(4) * 1

__________________________________

{5/(4a)} + {25/(6b)} = -15/4

{5/(4a)} - {3/(5b)} = 61/60

(-) (+) (-)

______________________

{23/(6b)} + {3/(5b)} = -(15/4) - (61/60)

⇛{(125b + 18b)/(30b²)} = {(-225 - 61)/60}

⇛{(143b)/(30b²)} = -286/60

⇛{143/(30b)} = -286/60

⇛1/b = -1

Therefore, b = -1

Substitute the value of b in equation (3) then we have

{1/(2a)} + (5/3) = -3/2

⇛{1/(2a)} = -(3/2) - (5/3)

= (-9-10)/6

⇛{1/(2a)} = -19/6

⇛1/a = -19/3

a = -3/19

Now, {1/(x+2y)} = a ⇛-3/19

⇛x+2y = -19/3. ⇛3x + 6y = -19 →Eqn(5)

{1/(3x-2y)} = 1⇛ 3x - 2y = 1 →Eqn(6)

(-) (+) (-)

______________

8y = -20

y = -20/8

From equation (6)

3x - 2 * (-5/2) = 1

⇛3x - 5 = 1

⇛3x = 1+5

⇛3x = 6

⇛x = 6/3

Answer: Hence, the required value of x and y with be -5/2 and 2 respectively.

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The solution is the area between the three lines, a triangle with vertices marked (see attached).

Prediction problems where the variables have numeric values are most accurately defined as regressions.

Regression analysis is a set of statistical processes used in statistical modeling to estimate the relationships between a dependent variable and one or more independent variables.

Researchers can use regression to predict or explain variation in one variable based on another variable. Definitions include: The response variable is the variable that researchers are attempting to explain or predict. It is also known as the dependent variable because it is dependent on another variable.

Understanding linear regression is critical because it provides a scientific method for identifying and forecasting future outcomes. The ability to find and evaluate predictions can help many businesses and individuals by providing benefits such as optimized operations and detailed research materials.

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By integrating and solving a system of equations, we will see that the function is:

f(x) = (1/6)*x³ - x² -1.5*x + 2.3

We know that the second derivate is:

f''(x) = x - 2

If we integrate that, we will get:

f'(x) = (1/2)*x² - 2x + c

Where c is a constant of integration.

If we integrate again, we will get:

f(x) = (1/6)*x³ - x² + c*x + d

Where d is another constant of integration.

Now we know that:

f(1) = 0 and f(7) = 0

So we can write:

f(1) = (1/6)*1³ - 1² + c*1 + d = 0

f(7) = (1/6)*7³ - 7² + c*7 + d = 0

So we have a little system of equations:

(1/6) - 1 + c + d = 0

57.2 - 49 + 7c + d = 0

c + d = 5/6

7c + d = -8.2

If we subtract the first equation from the second one we will get:

(7c + d) - (c + d) = -8.2 - 5/6

6c = (-8.2 - 5/6)

c = (-8.2 - 5/6)/6 = -1.5

c + d = 5/6

-1.5 + d = 5/6

d = 5/6 + 1.5 = 2.3

The function is:

f(x) = (1/6)*x³ - x² -1.5*x + 2.3

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