y-y, = m (x - x) if
Slope = 3
Passes though the point (2,-4)

The transformation given as A(-8,7) → A'(-8,-7) represents a reflection over x-axis .

In the reflection of the point (x,y) over x-axis transformation ,the x-coordinate of each point remains the same, but the y-coordinate is negated (changes sign).

Let's consider the coordinates of point A that is  (-8, 7).

The transformation takes this point to A' (-8, -7).

We can see that the x-coordinate of the point remains the same which is -8. but , the y-coordinate changes from 7 to -7.

We know that in a reflection over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign.

Therefore , the transformation that takes A to A' is a reflection over the x-axis.

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The given question is incomplete , the complete question is

Identify the Transformation given as A(-8,7) → A'(-8,-7)?

It is also the foundation of many important algorithms, such as Euclidean Algorithm, which is used to find the greatest common divisor of two integers.

The Quotient-Remainder Theorem is a basic and important theorem in the domain of number theory. It is also known as the division algorithm.

To prove the Quotient-Remainder Theorem, we can use the well-ordering principle, which states that every non-empty set of positive integers has a least element.

Suppose that there exists another pair of integers q' and r' such that

\(n = q'd + r',\)

where r' is greater than or equal to zero and less than d.

Then, we have: \(dq + r = q'd + r' = > d(q - q') = r' - r.\)

Since d is greater than zero, we have |d| is greater than or equal to one. Thus, we can write: |d| is less than or equal to \(|r' - r|\) is less than or equal to \((d - 1) + (d - 1) = 2d - 2\).

This implies that |d| is less than or equal to 2d - 2,

which is a contradiction.  q and r are unique. The Quotient-Remainder Theorem is a powerful tool that has numerous applications in number theory and other fields of mathematics.

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Answer:

whats your question...?

Step-by-step explanation:

Answer:

sec theta

Step-by-step explanation:

we have this as follows;

cos theta +cos theta tan^2 theta

= cos theta (1 + tan^2 theta)

Recall;

1 + tan^2 theta = sec^2 theta

= sec^2 theta * cos theta

Recall;

sec theta = 1/ cos theta

= 1/cos theta * cos theta * 1/cos theta

= 1/cos theta = sec theta

The different simplified two-level gate circuits are as follows:
F(a, b, c, d) = (a'c)(b'd) + (ac)(bd') + (ab'c') + (ab'd') + (a'b'c') + (a'b'd) + (a'bc') + (a'b'd')

(a) F(w, x, y, z) = (x + y′ + z)(x′ + y + z)w
From the expression F(w, x, y, z) = (x + y′ + z)(x′ + y + z)w, the truth table can be derived.

Then Karnaugh Maps (K-map) can be applied to make the equations smaller.

In order to make the equations smaller, there are eight different simplified two-level gate circuits that can be used.

K-Map for (a):

The K-Map above is created for the given function F(w, x, y, z). This K-Map is used to create Boolean equations using the following steps:
1. Combine 1’s wherever possible to get two terms of two variables.
2. There are eight possible combinations of two variable equations.
3. Put these two-variable equations with a common variable together to get four-variable equations.
4. Finally, use the K-Map again to create two-variable equations to use in two-level gate circuits.

The different simplified two-level gate circuits are as follows:

F(w, x, y, z) = (w'z)(xy') + (wz')(x'y)  + (wz)(x + y')  + (wx)(y + z')  + (wx')(y' + z)  + (wy)(x + z')  + (wy')(x' + z)  + (w'x'z)(y + z)

(b) F(a, b, c, d) = Σ m(4, 5, 8, 9, 13)
The given expression F(a, b, c, d) = Σ m(4, 5, 8, 9, 13) can be simplified by using Karnaugh Maps to make the equations smaller. There are eight different simplified two-level gate circuits that can be used for the simplified expressions. K-Map for (b):

The K-Map above is created for the given function F(a, b, c, d). This K-Map is used to create Boolean equations using the following steps:
1. Combine 1’s wherever possible to get two terms of two variables.
2. There are eight possible combinations of two variable equations.
3. Put these two-variable equations with a common variable together to get four-variable equations.
4. Finally, use the K-Map again to create two-variable equations to use in two-level gate circuits.

The different simplified two-level gate circuits are as follows:
F(a, b, c, d) = (a'c)(b'd) + (ac)(bd') + (ab'c') + (ab'd') + (a'b'c') + (a'b'd) + (a'bc') + (a'b'd')

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Converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters. By definition conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division. In maths, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.

If we want to calculate how many Grams are 1000 Milligrams we have to multiply 1000 by 1 and divide the product by 1000. So for 1000, we have (1000 × 1) ÷ 1000 = 1000 ÷ 1000 = 1 Gram.

So finally 1000 mg = 1 g

Thus, converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

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Answer:

88

Step-by-step explanation:

m<ACB is equal to m<ABC because when to split the triangle down the middle and reflect one half you would have the same open shape. So by knowing that, you add 46+46 to get 92. Also knowing a triangle is equal to 180, you would end up subtracting 92 from 180 to get 88.

hope this helps!

The missing side of the right triangle is as follows:

a = 22.7 units

b = 10.6 units

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The sides a and b can be found using trigonometric ratios as follows:

Hence,

sin 25 = opposite / hypotenuse

sin 25° = b / 25

cross multiply

b = 25 sin 25

b = 25 × 0.42261826174

b = 10.5654565435

b = 10.6 units

cos 25 = adjacent / hypotenuse

cos 25 = a / 25

cross multiply

a = 25 cos 25

a = 22.6576946759

a = 22.7 units

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\(\sqrt[3]{270}\qquad \begin{cases} 270=2\cdot 3\cdot 3\cdot 3\cdot 5\\ \qquad ~~ 2\cdot 3^3\cdot 5\\ \qquad ~~ 3^3\cdot 10 \end{cases}\qquad \implies \sqrt[3]{3^3\cdot 10}\implies 3\sqrt[3]{10}\)

The five-number summary first need to sort the data in ascending order. Then we can find the minimum value is the smallest data point and the maximum value is the largest data point.

Generally, the five-number summary is a set of descriptive statistics that summarizes a dataset.

It includes the minimum value the first quartile (Q1) the median (Q2) the third quartile (Q3) and the maximum value.

These statistics divide the dataset into four equal parts with the median being the middle value.

Q1 is the value below which 25% of the data falls and Q3 is the value below which 75% of the data falls.

The median is the middle value of the dataset or the average of the two middle values if the dataset has an even number of values.

Q1 is the median of the lower half of the dataset and Q3 is the median of the upper half of the dataset.

Once you provide the table or data I can help you find the five-number summary that matches the data.

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The difference in the account balances at the end of the loan terms is given as follows:

$1,686.87.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for the offer 2 are given as follows:

P = 75000, r = 0.035, n = 12, t = 62/12.

Hence the balance of the offer 2 is given as follows:

B = 75000 x (1 + 0.035/12)^(12 x 62/12)

B = $89,842.51.

The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:

91529.38 - 89842.51 = $1,686.87.

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Solution:

Given:

To get the central angle, we use the formula for the area of a sector;

Hence, substituting the given values into the formula,

Therefore, the measure of the central angle of the shaded sector is 45 degrees.

Using division of fractions, the equivalent expression is:

B. \(\frac{4}{d - 6}\).

To divide two fractions, we multiply the first by the inverse of the second.

In this problem, we have that:

Applying the multiplication, we have that:

\(\frac{2(d - 3)}{(d + 8)(d - 6)} \times \frac{2(d + 8)}{d - 3} = \frac{4}{d - 6}\).

Hence option B is correct.

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There are 1040 citizens in the community. x is the total number of citizens in the community.

Let's use x to represent the total number of citizens in the community. We know that 400 citizens did not agree with the analysis, which means that the remaining (1 - 5/13) = 8/13 of citizens did agree with the analysis. Therefore, we can set up the following equation:

(8/13)x = number of citizens who agreed with the analysis

We can solve for x by adding the number of citizens who did not agree with the analysis to the number who did agree:

x = (8/13)x + 400

Multiplying both sides by 13, we get:

13x = 8x + 5200

Simplifying, we get:

5x = 5200

Dividing both sides by 5, we get:

x = 1040

Therefore, there are 1040 citizens in the community.

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If 5/13 of citizens believe that difficulty with procrastination led to not agreeing with an analysis, and 400 citizens did not agree with this analysis, how many citizens live in the community?

Answer:

41 square units

Step-by-step explanation:

this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.

for me this split would be

1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.

2. a right-angled triangle ABF (the same F as for 1.).

the area of a square is the square of a side length.

the side length in 1. is 4.

so, its area is 4×4 = 16 square units.

the area of a right-angled triangle is

a×b/2

with a and b being the sides enclosing the 90 degree angle.

in our case here a = BF = 10, b = FA = 5

so the area of the triangle is 10×5/2 = 25 square units.

so, the total area is 16 + 25 = 41 square units.

Answer:

17cm

Step-by-step explanation:

With a 14.4 millimeter radius, the larger gear will rotate 115.2 degrees in relation to the smaller gear.

Since the gears are joined together by their teeth, their ratio of rotations to radii is inversely proportional. We can use the formula:

(radius of smaller gear)/ radius of bigger gear) equals (rotation of larger gear)/(rotation of smaller gear).

Let x represent the larger gear's rotation in degrees. Next, we have:

x/144º = 11.5 mm/14.4 mm

After finding x, we obtain:

x = (144º*11.5 mm)/14.4 mm

= 115.2º

Therefore, the larger gear will revolve 115.2º when the smaller gear turns 144º.

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Answer:

6 / 5

I hope it is correct.

Step-by-step explanation:

Slope is (y2 - y1) / (x2 - x1)

choose two points: (4, 6) and (-16, -18)

(-18 - 6) / (-16 - 4)

-24 / -20 (simplify by -4)  

6 / 5

Convergence is a technique used by a professional to gain the audience's trust by using speech they are unfamiliar with. This assertion is untrue.

As in the case of a convergence of plum as well as apricot genetic mutations in the plucot, convergence would be when multiple components combine to form a fresh fact that the entire.

What are convergence & divergence in speech?

Convergence refers to behavioral tactics used by speakers to alter their communication so that it resembles other people's. Divergence, on the reverse hand, relates to interpersonal strategies where a person speaking changes how they speak towards other people in order to emphasize or create differences.

There are three distinct kinds of convergent plate boundaries: oceanic-continental, oceanic-oceanic, as well as continental-continental.

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Answer:

x=5 ; x=1

Step-by-step explanation:

plug in:

2(x^2+2) -3 = (2x-3)^2 +2

simplify:

2x^2 + 1 = 4x^2- 12x + 10

Move everything to one side:

2x^2 + 1 = 4x^2- 12x + 10 ---> 0= 2x^2 -12x +10

Factor

2(x-5)(x-1)=0

x=5

x=1

It takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

It takes 100 seconds (20 * 5) for the entire caravan to receive service at the first toll booth.

Assuming that the cars line up at the second toll booth right after receiving service at the first toll booth, the time it takes for the entire caravan to line up before the second toll booth depends on the speed of the cars.

Since the speed of the cars is 10 kilometers per second, in the 100 seconds it takes for the entire caravan to receive service at the first toll booth, the entire caravan travels a distance of 1000 kilometers (100 * 10).

Since the distance between the first and second toll booths is 400 km, it takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

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It takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

It takes 100 seconds (20 * 5) for the entire caravan to receive service at the first toll booth.

Assuming that the cars line up at the second toll booth right after receiving service at the first toll booth, the time it takes for the entire caravan to line up before the second toll booth depends on the speed of the cars.

Since the speed of the cars is 10 kilometers per second, in the 100 seconds it takes for the entire caravan to receive service at the first toll booth, the entire caravan travels a distance of 1000 kilometers (100 * 10).

Since the distance between the first and second toll booths is 400 km, it takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

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Assuming timmy completes all chores, the number of dollars timmy will have 7 weeks after his birthday is 85 dollars.

In mathematics, an equation is a claim that two expressions are equivalent. It is a mathematical expression that employs the equals symbol, "=", to indicate that two quantities have values that are equal. Problems in algebra, geometry, calculus, and other branches of mathematics are frequently solved using equations. In algebra, equations are frequently used to depict the connection between variables and constants, as well as to discover the value of an unknown variable. For example, the equation x + 2 = 5 may be utilised to get the value of x, which is 3. Equations can be linear, quadratic, or higher-degree, and they can involve multiple variables.

How to solve?

Let x be the number of weeks after Timmy's birthday.

The total number of dollars Timmy will have after x weeks is 50 + 5x.

Therefore, Timmy will have 50 + 5(7) =85 dollars after 7 weeks

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Answer:

there is 27 percent In the class

Step-by-step explanation:

you need black bla bla times bla = ur racist

Answer:

d)decreases

Step-by-step explanation:

A probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is systematic sampling.

Therefore, a probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is systematic sampling.

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The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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Answer:

Step-by-step explanation:

The first two steps are for the purpose of eliminating fractions.  Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.

Perform the indicated multiplication, obtaining:

8x - 20 = 9x - 18.

Then combine like terms:  -2 = x, or

x = -2.

To complete the formal check, substitute -2 for x in the first equation.  This results in:

(1/3)(-4 - 5) = (3/4)(-2 -2), or

        -3       =        -3

... which is obviously true.