A suit is being sold for 194.49, discount is 73% from the original price.

What’s the original price?

Answer: 3√14 units

Step-by-step explanation:

Let the length of the other leg equal to x

Hence, according to Pythagoras' theorem

[tex]x^2+(9\sqrt{2} )^2=(12\sqrt{2})^2 \\\\x^2+9^2(\sqrt{2)^2}=12^2(\sqrt{2})^2\\\\x^2+81(2)=144(2)\\\\x^2+162=288\\\\x^2+162-162=288-162\\\\x^2=126[/tex]

Extract the square root of both parts of the equation:

[tex]x=\sqrt{126} \\\\x=\sqrt{9(14)} \\\\x=3\sqrt{14}\ units[/tex]

The image of the point (-4, -1) after a rotation of 270 counterclockwise about the origin will be (-4, 1).

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The point (- 4, -1) is in the fourth quadrant. After a rotation of 270 counterclockwise about the origin, then the coordinate would be in the third quadrant.  

Let the coordinate of (-x, -y) be the fourth quadrant. Then the coordinate in the third quadrant will be (-y, -x)

Therefore, The image of the point (-4, -1) after a rotation of 270 counterclockwise about the origin will be (-4, 1).

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By applying the exterior angle of a triangle theorem, m<WUV = 19°

What is an exterior angle of a triangle?

The angle created by one side of a triangle and the subsequently extended side is known as the external angle of a triangle. A triangle has three exterior angles, and the sum of those three external angles is always 360 degrees.

Here, we have

The given parameters are;

ΔUVW with side UW extended to X

m∠UVW = (x + 19)°

m∠VWX = (5x +14)°

m∠WUV = (x + 13)°

Applying the exterior angle of a triangle theorem:

m∠WUV + m∠UVW = m∠VWX

(x + 13)° + (x + 19)° = (5x +14)°

2x + 32 = 5x + 14

32 - 14 = 5x - 2x

18 = 3x

x = 6°

Now, we put the value of x in m∠WUV = (x + 13)° and we get

m∠WUV = (6+13)°

m∠WUV = 19°

Hence, by applying the exterior angle of a triangle theorem, m<WUV = 19°

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Answer:

∠ 1 = 25° , ∠ 2 = 155°

Step-by-step explanation:

∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is

x - 6 + 5x = 180

6x - 6 = 180 ( add 6 to both sides )

6x = 186 ( divide both sides by 6 )

x = 31

Then

∠ 1 = x - 6 = 31 - 6 = 25°

∠ 2 = 5x = 5 × 31 = 155°

The equation of a line perpendicular to y 7 = - 4/3x that pass through the point (-8, -1) is 3x-4y=20 where x-intercept is 3 and y-intercept is -4.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables.

The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.

Given line ;

y 7 = - 4/3x

now comparing it with y=mx+c to find the value of m and we found;

m1=-4/3

now if two lines are perpendicular then,

m1.m2=-1

m2=3/4

now finding the equation of line passing through the point (-8, -1)

x1=-8

y1=-1

(y−y1)=m(x−x1)

Y+1=(3/4)(x+8)

Y+1=(3x/4)+(24/4)

Y=(3x/4)+(6)-1

Y=(3x+20)/4

4y=3x+20

rearrange;

3x-4y=20

this is our required value.

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Answer:

[tex]log_{9} 59,049=5[/tex]

Step-by-step explanation:

The equation in logarithmic form is ㏒₉59,049 = 5

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given is an equation, 9⁵ = 59,049, we need to convert it into logarithmic form.

So,

y = aˣ, then x = ㏒ₐY

Applying the same,

9⁵ = 59,049

㏒₉59,049 = 5

Hence, the equation in logarithmic form is ㏒₉59,049 = 5

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the area will be fall in between 100≤ 20x ≤1000.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral,A quadrilateral should be closed shape with 4 sides

All the internal angles of a quadrilateral sum up to 360°.

The area of a rectangle is A = a*b

Here in the figure the length is given 4x and the breadth is 5.

The area is given in between 100≤A≤1000

So this area will be A = 5x*4 = 20x

Now the area will be lie in between 100≤ 20x ≤1000

hence, the area will be fall in between 100≤ 20x ≤1000.

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As an object's mass and the energy difference between it and the barrier's energy increase, the probability that it will tunnel through the barrier diminishes.

And although while the functionality shows that the wave function never fully hits zero, this explains why tunneling is common at the nanoscale but insignificant at the larger scale. The probability of tunneling declines exponentially with the square root of the mass of the particle (smaller particles may more easily tunnel through barriers than larger ones) and the barrier thickness.

Three requirements must be satisfied for a quantum particle to appreciably tunnel through a barrier ,

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Answer: n= 1

Step-by-step explanation:

8n+7=-4n+19

First, subtract 7 from both sides

8n = 4n +12

Then add 4n from both sides

12n = 12

Then divide by 12 from both sides

n= 1

If you can please give me a Brainliest, thank you!

Answer: n = 1

Step-by-step explanation:

First, you could start off by bringing the -4n to the left side:

8n + 7 = -4n+19  →  12n + 7 = 19

Next, you take the 7 on the left side of the equals sign and subtract it from the 19:

12n + 7 = 19 → 12n = 12

Finally, you divide the 12 on the right by the 12 on the left:

12n = 12  →  n = 12/12

A number over itself will always be 1, so n = 1.

Practicing mathematics will bring Peace and Harmony in your life It provides us with a method for comprehending patterns, quantifying relationships, and making future predictions.

In the absence of animosity and violence, peace is the idea of communal friendship and harmony.

Critical thinking about our surroundings is referred to as analytical thinking. Our capacity for reasoning is what allows us to approach problems logically. The ability to think critically and rationally is crucial since it aids in issue solving and solution seeking.

Understanding the world through mathematics also helps us develop mental discipline. Math fosters logical reasoning, critical analysis, inventiveness, abstract or spatial thinking, problem-solving aptitude, and even good communication abilities.

Therefore, It gives us a way of understanding patterns, measuring relationships, and forecasting the future.

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Answer:

No.

Step-by-step explanation:

Don't worry. Yes, your grade will decrease but won't go to 0.

Answer: It all depends on how weighted your final exam is on your overall grade compared to other assignments.

The ascending order of the given numbers will be 0.4, 0.43, 0.52 and 0.81 and the final number after performing all the indicated operations is 260.

According to the question,

We have the following information:

0.4, 0.52, 0.81 and 0.43

Now, we know that in ascending order we order from the smallest to the largest.

Ascending order of the given numbers:

0.4, 0.43, 0.52 and 0.81

Now, the first number is 0.4.

Adding 2 to this number:

0.4+2

2.4

Subtracting the number from 5:

5-2.4

2.6

Now, multiplying it by 100:

2.6*100

260

Hence, the ascending order of the given numbers will be 0.4, 0.43, 0.52 and 0.81 and the final number after performing all the indicated operations is 260.

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In linear equation, Clark rode 2 kilometres more than Denise .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

                       Equations whose variables have a power of one are called linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

Denise rode 3 kilometres .

Clark rode 5000 metres which is 5 kilometres .

So , Clark rode 2 kilometres more than Denise .

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The value of h(-5) for the given function h(x) = −3|x − 1| + 4 is h(-5) = -14.

How to solve function?

h(x) = −3|x − 1| + 4

Substitute x = -5

h(-5) = −3|(-5) − 1| + 4

= -3|-6| + 4

= -18 + 4

= -14

h(-5) = -14

Hence, The value of h(-5) for the given function h(x) = −3|x − 1| + 4 is h(-5) = -14.

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Answer: $4

Step-by-step explanation:

75% = 3/4

If 4/4 = full price,

subtract 3/4

4/4 - 3/4 = 1/4 = 25% of the original price

25% = $1

75% = $3

$1 + $3 = $4

The required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.

The expressions that have identical values are called to be equivalent expressions.

The expression is given in the question following as:

⇒ 3 + 2x − 9 − 4x + 11 + 5x − x

We have to determine the equivalent expression to the given expression

As per the question, we have

⇒ 3 + 2x − 9 − 4x + 11 + 5x − x

Combine the like terms together in the above expression,

⇒ 2x - 4x + 5x - x + 3 - 9 + 11

⇒ 2x  + 5

Thus, the required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.

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Answer:

a - April

b - may

c - they neither made nor lost money that month

hope that helps :)

Step-by-step explanation:

Answer: a) - March

              b) - May

              c)- it neither made nor lost money that month

Step-by-step explanation:

a) - because -386 is the least out of all of them

b) - because 271 was the most out of all of them

c) - it didn't lose or make it just stayed the same as it was

The dividend yield per stock share per year is 9.88 %

What Is the Dividend Yield?

The dividend yield, expressed as a percentage, is a financial ratio (dividend/price) that shows how much a company pays out in dividends each year relative to its stock price.

Given,

The stock price per share is = $85

Quarterly dividend is = $2.10

Now, for to find Dividend yield

Dividend Yield = Annual Dividends Per Share / Price per share

Annual Dividends Per Share = 4 * $2. 10

                                                = $8.4

Price per share = $85

Now, plug in the values

Dividend Yield = 8.4 / 85

                         = 0.0988

Now, in percentage is

Dividend Yield = 0.0988 * 100

                          = 9.88 %

Hence, the dividend yield per stock share per year is 9.88 %

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Based on the residual plot, is a linear model is not appropriate for summarizing this relationship. Therefore, the correct answer option is: C. A linear model is not appropriate because the residual plot shows a clear pattern.

In Mathematics, a residual plot is sometimes referred to as scatter plot and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association or correlation (relationship) between the data set.

Mathematically, a linear model can be represented by this mathematical expression; y = mx + b.

Where:

By critically observing the residual plot (scatter plot) which shows a relationship between the residuals and quarters since January 2011, we can reasonably infer and logically deduce that a linear model is not appropriate because there is a clear pattern between the data points.

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Step-by-step explanation:

First, you should translate everything into math. So,

"∠B is 2 more than 3 times the measure of ∠C" translates into B = 3C + 2....(1)

"...∠B and ∠C are complementary angles" translates to B + C = 90...............(2)

Now, all that's left to do is to solve for B and C. So, we'll take equation (1) and substitute it into equation (2) as follows:

(3C + 2) + C = 90

4C + 2 = 90

4C = 88

C = 22

Plugging C = 22 back into either equation (1) or (2) gives us

B = 90 - 22 = 68 (or B = 3(22) + 2 = 68)

Thus, ∠B = 68º; ∠C = 22º

hope this helps

a) Using a system of equations, the amount invested in the mutual fund that earned 6% was $1,600.

b) The amount invested in the mutual fund that earned 4% was $200.

A system of equations is two or more equations solved concurrently.

A system of equations is also called simultaneous equations.

Total investment = $1,800

Profit from investment A = 6%

Profit from investment B = 4%

The total investment profit = $76

Let A = Investment A and B = Investment B

A + B = 1,800

A = 1,800 - B

0.06A + 0.04B = 76

0.06(1,800 - B) + 0.04B = 76

108 - 0.06B + 0.04B = 76

108 - 0.02B = 76

-0.02B = -32

B = 1,600

A = 200 (1,800 - 1,600)

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Hello,

I hope you and your family are doing well!

To find the total area of all four walls of the room, you need to find the area of each wall separately and then add them all together. The area of a wall is the product of its height and width.

The width of each wall is 50 meters, and the height of each wall is 10 meters, so the area of each wall is 50 * 10 = 500 square meters. There are four walls in the room, so the total area of all four walls is 500 * 4 = 2000 square meters.

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Happy Holidays!

Answer: 2200

Step-by-step explanation: I looked it up

Let the cost of each gift card be x.

Three of them will cost 3x.

We need the total cost be no more than $2 above or below $60.

This can be represented as:

and

or as combined inequality:

Answer:

The series -1+2+(-4)+8+... is an arithmetic series because it has a common difference between consecutive terms. Specifically, the common difference is -4 - 2 = -6.

To determine whether the series is convergent or divergent, we need to find its sum. The sum of an arithmetic series is given by the formula:

sum = (n/2)(a1 + an)

where n is the number of terms in the series, a1 is the first term, and an is the nth term.

Since the series is infinite, we cannot determine its sum using this formula. However, we can determine its sum by taking the limit as n approaches infinity. Using the formula above, we find that the sum is equal to:

sum = (infinity/2)(-1 + infinity)

Since the series contains an infinite number of negative terms, it is divergent.

Answer:

The answer is x= -2/3

Step-by-step explanation:

Step-by-step explanation:

The diagram is very helpful, so really go off of that. Coordinates are written in the form (x,y). If you look at the signs (either there's a negative sign, - , or no sign at all, meaning it's +) for each number in a coordinate pair, you can see where each coordinate should go.

If you look at the last example (3, -3), the first digit is positive + and the second digit is negative - . When you look at the diagram, coordinates in the form of (+, -) are put in quadrant 4.

If m is the centroid of triangle abc, am = 44, ce =54, and dm = 23, then each missing measure fm=88 and ce=44.

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.

Step 1: Identify each vertex's coordinates.

Step 2: Add together and divide by three all the x values from the coordinates of the three vertices.

Step 3: Add together all the y values from the three vertices and divide the result by three.

Step 4: The centroid coordinate is determined from the values collected in stages 2 and 3.

the ratio of both segments is 2:1.

where;

am = 44 and dm = 23

the longer segment is double of shorter one:

2*23 = 46.

Therefore,

fm = 46-23

= <<23=23>>23

now finding ce:

= 2*44

= 88, so

ce measures

= 88-44

=44.

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When reflected across a line of symmetry, a shape having that line of symmetry will fall on itself. These are the actual claims:

(1) The rectangle's diagonals will line up exactly with one another.

(2) A rectangle's diagonals are symmetry lines.

We deduce from the question that the rectangle is mirrored across the symmetry line.

When done, the rectangle's half will fall directly on the other half.

This indicates that the rectangle's diagonal will line up perfectly with the opposite diagonal.

According to the aforementioned claim, a rectangle's diagonal is also its line of symmetry.

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