Give your views on how the law, the citizens and the community are victims of can support and protect human rights violations.

Answer:

-1a(to the power of two)+ -1a+2

Step-by-step explanation:

can't explain to big brain

Answer:

- a² - a + 2

Step-by-step explanation:

Given

2a² + 5a - 6 - 3a² + 8 - 6a ← collect like terms

= (2a² - 3a² ) + (5a - 6a ) + (- 6 + 8 )

= - a² + (- a) + 2

= - a² - a + 2

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Relief refers to the highest and lowest point elevation in an area.

Relief

Relief is the term used for the differences in height from place to place on the land’s surface and it is greatly affected by the underlying geology. Relief relies on the hardness, permeability and structure of a rock.

elevation

The elevation of a geographic location is its height above or below a fixed reference point, most commonly a reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface.

geology

Geology describes the structure of the Earth on and beneath its surface, and the processes that have shaped that structure. It also provides tools to determine the relative and absolute ages of rocks found in a given location, and also to describe the histories of those rocks.

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Answer: Relief

Step-by-step explanation:

Relief refers to the highest and lowest point elevation in an area.

Slope is the measure of steepness

Topography refers to the arrangement of the land in an area

Elevation on the other hand is the distance above sea level

Answer:

117°

Step-by-step explanation:

The value of m∠3 and m∠5 will add up to 180, so you can do 180 - 63 to find the answer.

A student can ride his bicycle at an average speed of 6 mph. If he cycles for 4 hours, how far can he travel 24 miles.

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

We can use the formula:

\(Distance = rate * time\)

To solve this problem.

The rate is given as 6 miles per hour, and the time is given as 4 hours.

So, we have:

distance = 6 * 4

Simplifying, we get:

distance = 24 miles

So, the student can travel 24 miles if he cycles for 4 hours at an average speed of 6 mph.

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Answer:

Width __6___ cm

Length __12__ cm

Step-by-step explanation:

hello :

x : the width   and y : Length    P : the  perimeter

P=2(x+y )        but : P=36cm  and : y = 2x

36 = 2(x+2x)

36 = 2(3x)

6x =36   so : x=6 cm   and y = 2×6=12cm

Step-by-step explanation:

If breadth is b,then length will be 2b,so

Perimeter=36

2(2b+b)=36

3b=18

b=6,so,l=2×6=12

So,length is 12 and breadth is 6,

Hope it helps…

9514 1404 393

Answer:

  (6x+12)/x^2

Step-by-step explanation:

The product can be simplified by cancelling common factors from numerator and denominator.

  \(\dfrac{6x-18}{x^2}\times\dfrac{x^2+5x+6}{x^2-9}=\dfrac{6(x-3)}{x^2}\times\dfrac{(x+2)(x+3)}{(x-3)(x+3)}\\\\=\dfrac{6(x+2)}{x^2}=\boxed{\dfrac{6x+12}{x^2}}\)

Answer:

The margin of error for a 98% confidence interval around the sample mean is approximately 6.679 minutes.

Margin of error (E) = Zα/2 × σ/√n

Here,α = (1 - confidence level)/2

            = (1 - 0.98)/2

            = 0.01/2

            = 0.005

Zα/2 is the Z-score that corresponds to the given level of confidence (0.98).

Zα/2 can be calculated using a Z-table, which gives a value of

2.33.σ = population standard deviation = 15.7 minutes

n = sample size = 30

Putting the given values in the formula:

Margin of error (E) = 2.33 × 15.7/√30

                               ≈ 6.679

Therefore, the margin of error for a 98% confidence interval around the sample mean is approximately 6.679 minutes.

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The probability that a college student will get to work in 30 mins or less is 0.4 or 40%.

What does uniformly distributed probability mean?

Uniform distribution refers to a type of probability distribution in which all outcomes are equally likely to occur.

According to the given question:

Since the time is uniformly distributed, every possible travel time has the same likelihood of occurring.

Lower boundary (L) = 20 minutes

Upper boundary (U) = 45 minutes

The probability that a student finishes her trip in 30 minutes or less is:

P (t ≤ 30) = (30 - L)/(U - L)

              = (30 - 20)/(45 - 20)

              = 10/25

              = 0.4 or 40%

The probability that she will get to work in 30 mins or less is 0.4 or 40%

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Answer:

4/10 or 2/5 of a mile more.

Step-by-step explanation:

Since the denominators are the same, all you have to do is subtract the numerators.

9-5=10.

Therefore, Alisha hiked 2/5 of a mile further than Joseph.

The correct answer is 0.25.

Given P( B|A) i.e. the conditional probability as 0.6

and P( A and B) is 0.15

P(B|A) is known as conditional probability and it means the probability of event B that depends on another event A. It is also known as "the probability of B given A".

P(A) = Probability of event A happening.

P(B) = Probability of event B happening.

P(A∩B) = Probability of happening of both A and B.

Calculations ;

P(B|A) = P(A∩B) / P(A)

Thus,

P(A) = P(A∩B) / P(B)

P(A) = 0.15 / 0.6

P(A) = 0.25

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An x-bar and R-chart were constructed using the given data. The x-bar chart displays the sample averages, while the R-chart shows the sample ranges. By analyzing these charts, we can determine if the process is in control.

To construct the x-bar and R-charts, we use the sample averages and sample ranges provided in the table. The x-bar chart helps us monitor the central tendency of the process, while the R-chart monitors the variability or dispersion within the samples.

Plotting the x-bar chart:

   Calculate the overall mean (x-double bar) by averaging all the sample averages.

   Calculate the average range (R-bar) by averaging all the sample ranges.

   Calculate the control limits for the x-bar chart using the formulas: Upper control limit (UCL) = x-double bar + A2 * R-bar, Lower control limit (LCL) = x-double bar - A2 * R-bar, where A2 is a constant factor depending on the sample size.

   Plot the sample averages on the x-bar chart along with the control limits.

Plotting the R-chart:

   Calculate the control limits for the R-chart using the formulas: UCL = D4 * R-bar, LCL = D3 * R-bar, where D3 and D4 are constant factors depending on the sample size.

   Plot the sample ranges on the R-chart along with the control limits.

By examining the x-bar and R-charts, we can assess whether the process is in control. If the data points fall within the control limits, with no specific patterns or trends, the process is considered in control. If any data points fall outside the control limits or show non-random patterns, it suggests the process is out of control and further investigation is required.

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THIS QUESTION IS INCOMPLETE HERE IS THE GENERAL SOLUTION.

Answer:

C

Step-by-step explanation:

To find the volume of a cube, raise the value of one side to the third power. 2.5 centimeters to the third power is 15.625, which can also be expressed as the fraction 125/8

Answer: choice C

Step-by-step explanation:

Since V = s^3

And side length = 2.5

V = (2.5)^3

V = 15.625

V = 125/8 cm^3

A clockwise rotation of 144° about the origin will map the pentagon onto itself. Option(c) is the correct answer.

The number of sides (n) of the pentagon is:

n =5

The pentagon will not be plotted onto itself when reflected across the x-axis because the pentagon has 5 sides (an odd number of sides).

To draw the pentagon onto itself, the pentagon has to be rotated.

The angle of rotation is:

θ \(= \frac{360}{n}\)

θ  \(=\frac{360}{5} = 72\)

Other possible angles of rotation must be multiple of 72. i.e.

θ= 72, 144, 216, 288...

Hence, a clockwise rotation of 144° about the origin will map the pentagon onto itself.

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The complete question is:

A regular pentagon is centered about the origin and has a vertex at (0, 4). Which transformation maps the pentagon to itself?

a. A reflection across line m

b. A reflection across the x-axis

c) A clockwise rotation of 144 degrees about the origin

Answer:

2

Step-by-step explanation:

The question, is basically asking for the order of rotational symmetry for the parallelogram. This is 2, which means while spinning the parallelogram around its centre point 360 degrees, it looks exactly the same, or matches with its original at 2 points

Answer:

Step-by-step explanation:

D. supplementaryAn exterior angle is an angle that is supplementary when any of its side-extended with an interior angle of a triangle. In other words, when you extend one side of a triangle, you create an exterior angle that is adjacent to and supplementary (adds up to 180 degrees) with the interior angle next to it. This property is true for all triangles.

In scientific notation, we represent the number 978,000 as 9.78 × \(10^5\).

Scientific notation is a way to specific very massive or very small numbers in a compact and standardized format.

It consists of two parts: a coefficient and an exponent of 10.

In the given quantity 978,000, we begin by using transferring the decimal factor to the left till there is solely one non-zero digit to the left of the decimal point.

In this case, we can pass the decimal factor three locations to the left to get 9.78.

Next, we be counted the wide variety of locations we moved the decimal point.

Since we moved it three locations to the left, the exponent of 10 will be 3.

Finally, we categorical the range as the product of the coefficient (9.78) and 10 raised to the strength of the exponent (3):

978,000 = 9.78 × 10^5

In scientific notation, the coefficient is constantly a wide variety between 1 and 10 (excluding 10) to preserve the popular form.

The exponent represents the quantity of locations the decimal factor used to be moved, indicating the scale of the authentic number.

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Answer:

x = 3

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side, then

\(\frac{1}{2}\) × 2x = 3

x = 3

Answer:

1/2

Step-by-step explanation:

Answer:

a/2 or 1/2*a

Step-by-step explanation:

The expression rewrites the total 32 + 80 using the largest common factor and the distributive property, and the expression can be expressed as 16(2 + 5).

Option (c) is correct.

The least common multiple of two integers is defined as the lowest number that is a multiple of two or more numbers. The abbreviation LCM stands for least common multiple.

It is assumed that:

The mathematical formula is:

= 32 + 80

To identify the most prevalent factor:

GCF( 32, 80) ( 32, 80) ( 32, 80)

We can use Euclid's division lemma to find the GCF:

GCF(32,80)= 16

The phrase 32 + 80 can be expressed as follows:

= 32 + 80\s= 16(2 + 5)

As a result, the equation rewrites the total 32 + 80 using the largest common component and the distributive condition, and the expression can be expressed as 16(2 + 5).

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Answer:

35%

Step-by-step explanation:

The price it cost the site to buy the grills was $580 but they were selling them for $783. So for each grill, they get a profit of $203. (783-580=203).

35% of $580 is 203 which adds up to $783

So therefore the markup rate is 35% I hope this helps!

Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

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The integral is \(x¹⁹/19 + x²⁰/20 + C.\)

The given integral is \(∫(x + x²) x¹⁸ dx.\)

Integrate using the power rule:

\(∫(x + x²) x¹⁸ dx= ∫ x¹⁸ dx + ∫x² x¹⁸ dx= [x¹⁹/19] + [x²⁰/20] + C= x¹⁹/19 + x²⁰/20 + C.\)

The final answer is \(x¹⁹/19 + x²⁰/20 + C.\)

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We can write -

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is that -

{ 1 } -

We can write the slope of the line as -

m = 3

The equation will be -

y = 3x + c

For the point (2, 8), we can write -

8 = 6 + c

c = 2

So, the equation of line that passes through the point (2,8) and is parallel to y=3x+10 is -

y = 3x + 2

{ 2 } -

We can write the slope of the line as -

m = -1/2

The equation will be -

y = -x/2 + c

For the point (- 2, - 5), we can write -

-5 = -2 + c

c = - 3

So, the equation of line that passes through the point (-2,-5) and is perpendicular to the line -2x+y=9 is -

y = -x/2 + -3

Therefore, we can write -

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Answer:

Step-by-step explanation:

The circle represents a 360° angle.

Total spending corresponds to full circle and part of it spent on paper.

The ratio of paper over total is:

This is the part of circle which is:

Correct choice is B.

Answer:

b) 90 degrees

Step-by-step explanation:

Forming the expression,

→ 360° × (300/1200)

Let's solve given expression,

→ 360° × (300/1200)

→ 360° × (1/4)

→ (360°/4)

→ 90°

Hence, the answer is 90°.

Responder:

c = 15

Explicação passo a passo:

se -3 é a solução para a expressão x² - 7x - 2c = 0, para obter c, vamos substituir x = -3 na equação (uma vez que é uma raiz)

x² - 7x - 2c = 0

(-3) ² - 7 (-3) - 2c = 0

9 + 21 - 2c = 0

30 - 2c = 0

30 = 2c

Trocar

2c = 30

c = 30/2

c = 15

Portanto, o valor de c é 15

Answer: Reflection across the y-axis

Step-by-step explanation:

A reflection over a y-axis means that the original point (x, y) becomes (-x, y)

The original point (-2, 1) should become (-(-2), 1) which becomes just (2, 1).

(2, 1) is the reflected point hence it is a reflection across the y-axis

1. Proof that F is injective. Suppose that two different elements in the domain of F have the same image; that is, if x and y are elements of the domain of F and F(x)= F(y). We need to show that x=y. Let F(x) = F(y). This means that y1= x1/ (x1 + x2 + x3) = y1, y2= x2/ (x1 + x2 + x3) = y2 and y3= x3/ (x1 + x2 + x3) = y3.Now adding (1), (2), and (3), we have:y1+y2+y3= x1/ (x1 + x2 + x3) + x2/ (x1 + x2 + x3) + x3/ (x1 + x2 + x3)But this is equal to 1, therefore,x1 + x2 + x3= y1 + y2 + y3 = 1, or, equivalently, y1= 1- y2 - y3x1= (1- y2 - y3)(x1 + x2 + x3) = (1-y2 - y3), x2= y2(x1 + x2 + x3) = y2, and x3= y3(x1 + x2 + x3) = y3Thus, we have constructed an element of the domain of F, with different elements of the domain, that have the same image. Therefore, F is injective.

2. Find the investment directly without appealing to the Inverse Function Theorem. F(x1,x2,x3) = (y1,y2,y3)So, x1= (1- y2 - y3), x2= y2, and x3= y3Thus, the inverse of F is F-1(y1,y2,y3)= ((1-y2-y3),y2,y3)3. The domain of F. The domain of F is the set of all three-tuples, F(x1,x2,x3) where 0 ≤ xi ≤ ∞, and where at least one xi is positive. That is, Dom (F)={(x1,x2,x3)|x1≥0, x2≥0, x3≥0 and (x1,x2,x3)≠(0,0,0)}4. The range of F, which is the domain of F-1. The range of F is the set of all three-tuples, F(y1,y2,y3) where 0 ≤ yi ≤ 1, and where at least one yi is positive.

That is, Rng(F)={(y1,y2,y3)|y1≥0, y2≥0, y3≥0 and y1+y2+y3=1}5.  We have J_f(x) = ∣∣ ∂(y1,y2,y3) /∂(x1,x2,x3) ∣∣= ∣∣ ∂y1/∂x1 ∂y1/∂x2 ∂y1/∂x3 ∂y2/∂x1 ∂y2/∂x2 ∂y2/∂x3 ∂y3/∂x1 ∂y3/∂x2 ∂y3/∂x3 ∣∣= ∣∣ (1 / (x1 + x2 + x3) ) - (x1/ (x1 + x2 + x3)2) - (x1/ (x1 + x2 + x3)2) 0 1 / (x1 + x2 + x3) - (x2/ (x1 + x2 + x3)2) 0 0 1 / (x1 + x2 + x3) - (x3/ (x1 + x2 + x3)2) ∣∣= (1 / (x1 + x2 + x3) )((1 - y2 - y3) (1 - y2 - y3 - y3) - y2 (1 - y2 - y3) - y3(1 - y2 - y3)) = (1 / (x1 + x2 + x3) )((1 - y2 - y3 - y2 + 2y2y3 + y2 - y3 - 2y2y3 + y3 - y2y3 - y3 + y2y3)) = 1 / (x1 + x2 + x3) which is non-zero in the domain of F. Therefore, J_f(x) ≠ 0 when x ∈ Dom (F).

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Answer:

One possible equation is \(f(x) = (x + 3)\, (x - 5)\), which is equivalent to \(f(x) = x^{2} - 2\, x - 15\).

Step-by-step explanation:

The factor theorem states that if \(x = x_{0}\)  (where \(x_{0}\) is a constant) is a root of a function, \((x - x_{0})\) would be a factor of that function.

The question states that \((-3,\, 0)\) and \((5,\, 0)\) are \(x\)-intercepts of this function. In other words, \(x = -3\) and \(x = 5\) would both set the value of this quadratic function to \(0\). Thus, \(x = -3\!\) and \(x = 5\!\) would be two roots of this function.

By the factor theorem, \((x - (-3))\) and \((x - 5)\) would be two factors of this function.

Because the function in this question is quadratic, \((x - (-3))\) and \((x - 5)\) would be the only two factors of this function. In other words, for some constant \(a\) (\(a \ne 0\)):

\(f(x) = a\, (x - (-3))\, (x - 5)\).

Simplify to obtain:

\(f(x) = a\, (x + 3)\, (x - 5)\).

Expand this expression to obtain:

\(f(x) = a\, (x^{2} - 2\, x - 15)\).

(Quadratic functions are polynomials of degree two. If this function has any factor other than \((x - (-3))\) and \((x - 5)\), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of \(a\) corresponds to a distinct quadratic function with \(x\)-intercepts \((-3,\, 0)\) and \((5,\, 0)\). For example, with \(a = 1\):

\(f(x) = (x + 3)\, (x - 5)\), or equivalently,

\(f(x) = x^{2} - 2\, x - 15\).