Chareese reflects figure RSUT over the y-axis and then rotates the reflected figure 180degree about the origin, resulting in figure A. She states that R S U T is congruent to Z Y W X. Which best describes the accuracy of her congruency statement?
On a coordinate plane, figure A with points Z Y W X has points (1, 2), (4, 1), (3, 4), (0, 4). Figure R S U T has points (1, negative 2), (4, negative 1), (3, negative 4), (0, negative 4).
Accurate. A reflection will change the direction the vertices trace around the figure. A rotation preserves the change.
Accurate. A reflection preserves the direction the vertices trace around the figure. A rotation changes that direction.
Inaccurate. The correct congruency statement is R S U T is congruent to Z X W Y.
Inaccurate. The correct congruency statement is R S U T is congruent to X W Y X.

The sales tax rate amount is $76.99.

The total purchased amount is $1476.99.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Cost of the digital surveyor's level = $1399.99

Sales tax rate = 5.5%

The amount of sales tax rate.

= 5.5/100 x 1399.99

= $76.99

The total purchased price.

= $76.99 + $1399.99

= $1476.99

Thus,

Sales tax is $76.99

The purchased amount is $1476.99.

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Using the provided questions with the values of sets A,B and C, Applying the cartesian product, The answer is {(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)} and so on.

A mathematical expression is a combination of numbers, variables, and mathematical operations that defines a specific value or a set of values. Examples of mathematical expressions include 2+3, x^2+y^2, and sin(x) + cos(y). These expressions can be evaluated to find a specific numerical value or they can be simplified, rearranged or manipulated using algebraic rules.

In set theory, the Cartesian product of two sets A and B, denoted A x B, is the set of all ordered pairs (a, b) where a belongs to A and b belongs to B. It is the set of all possible combinations of elements from the two sets. For example, if A = {1, 2} and B = {a, b}, then A x B = {(1, a), (1, b), (2, a), (2, b)}. The Cartesian product is a fundamental concept in set theory and is used in many branches of mathematics, including linear algebra, topology, and graph theory. It can be extended to more than two sets, for example, the Cartesian product of three sets A, B, and C is denoted A x B x C and is the set of all ordered triples (a, b, c) where a belongs to A, b belongs to B, and c belongs to C.

1. A = {1,2,3}, B = {4,5,6} C = {a, b}

a. A x B = {(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)}

b. B x C = {(4,a),(4,b),(5,a),(5,b),(6,a),(6,b)}

c. A x C = {(1,a),(1,b),(2,a),(2,b),(3,a),(3,b)}

2. A = (3,6,9), B = (4,5,6)

a. A x B = {(3,4),(3,5),(3,6),(6,4),(6,5),(6,6),(9,4),(9,5),(9,6)}

b. Required relation = {(3,4),(3,5),(3,6)}

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Answer: hope this helps

Let's call the interest rate i.

The formula for simple interest is: I = Prt, where P is the principal amount, r is the interest rate (expressed as a decimal), and t is the time in years.

Since Chris wants his investment to double in 20 years, we know that at the end of 20 years, the total amount in the account will be 2P = 9200*2 = 18400.

We can use the formula for simple interest to set up an equation:

I = Prt = 18400 - 9200 = 9200

Now we can solve for the interest rate:

r = I/Pt

r = 9200/ (9200*20)

r = 9200/18400

r = 0.5

The interest rate required for Chris's investment to double in value in 20 years is 0.5 or 50%. To express it as percentage and round it to the nearest tenth of a percent we can multiply by 100:

50% rounded to the nearest tenth is 50.0%

Step-by-step explanation:

Answer: After 8 days, Soyala will have approximately 3% of the chocolate left.

When Soyala eats 5% of the chocolate each day, the amount of chocolate left decreases by a factor of 1 - 0.05 = 0.95. Therefore, after 8 days, the amount of chocolate left is 0.95^8 = 0.0314 or 3.14%. Rounded to the nearest whole percent, this is 3%.

Step-by-step explanation:

902.44 million acres that are not federally owned. 902.44 million acres can be written as 902440000 acres.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of 100 in mathematics. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement.

Given that the western state consists of 2051 million acres of land.

56% of this land is federally owned.

Total percentage represented by 100%.

The percentage of area that is not federally owned is (100 - 56)% = 44%.

Now multiply 44% by 2051 million acres to find the area.

The area is not federally owned is 44% ×2051 million acres

= (44/100) × 2051 million acres

= 902.44 million acres

1 million = 1000,000

902.44 million acres = 902.44× 1000,000 million

902.44 million acres = 902.44× 1000,000 million

902.44 million acres = 902,440,000 million

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Answer: 145/4

Step-by-step explanation:

1. Convert mixed numbers to improper fractions

Base = [tex]\frac{15}{2}[/tex] feet and Height =        [tex]\frac{29}{6}[/tex]

2. Multiply the two fractions by multiplying the numerators and denominators separately

15 * 29 = 435
2  *   6  = 12

[tex]\frac{435}{12}[/tex]

3. Convert it into simplified form if required

[tex]\frac{435}{12}[/tex] = [tex]\frac{145}{4}[/tex]

Answer: 500 square feet

Step-by-step explanation: 20 x 25 = 500

The letters on the front side and left side of the rectangular prism when it is folded are;

C. The letter on the front will be C. The letter on the left side will be E.

A rectangular prism is a three dimensional figure with six faces, such that each face is parallel to the opposite face and all the faces are rectangles.

The volume of a rectangular prism is the product of its three dimensions of length, width and height, while the surface area is twice the sum of the surface area of the three perpendicular faces.

The letters on the six faces of the rectangular prism are;

A, B, C, D, E, and F

When the net is folded into the rectangular prism shown in the figure, the sides with letter B is on top and the side with letter F in front.

The face of the net that will be on the front of the rectangular prism when it is folded is therefore, adjacent to the letter B, which is the face with letter C and the face to the left of the rectangular prism is the face adjacent to the face in front, which is the face with the letter E.

The correct option is therefore option C.

C. The letter on the front will be C. The letter on the left side will be E.

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Answer:

2:25

Step-by-step explanation:

Answer:

2:25 pm

Step-by-step explanation:

7 hours from 8 AM to 3 PM* 5 mins= 35 mins :)))))))))

3:00 pm - 35 mins= 2:25 pm

Answer:

1g or 1 gram

Step-by-step explanation:

The two types of figures are open and closed, geometric figures respectively. Figures that don't end where they begin are said to be open figures.

Closed geometric shapes are made up of points, line segments, circles, and curves. All around us, we can observe these types of shapes. Circle, rectangle, triangle, and other geometric shapes are a few examples. The triangle-shaped slices of a pizza are round.

Straight lines have been drawn on the floor, the door, the window, and the zebra crossing by the roadside in the classrooms. Even though angles are used in building construction, they also have connections to disciplines like physics and chemistry.

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After the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121).

The coordinates of a triangle after rotation and translation can be found using the following steps:

       x' = (x - a) * cos(θ) - (y - b) * sin(θ) + a

       y' = (x - a) * sin(θ) + (y - b) * cos(θ) + b

        x' = x + dx

        y' = y + dy

       x' = (1 - 2) * cos(45) - (3 - 4) * sin(45) + 2 = -1.121 + 1.121 + 2 = 2.000

       y' = (1 - 2) * sin(45) + (3 - 4) * cos(45) + 4 = -0.707 - 0.707 + 4 = 2.586

      x' = 2 + 3 = 5

      y' = 2.586 + 4 = 6.586

     similarly for point B(2,5) will be (5.121,7.121)

     and for point C(3,3) will be (6.121,5.121)

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Answer:

B. The graph of the function is a parabola.

C. The graph of the function opens down.

E. The graph contains the point (0, 0).

Step-by-step explanation:

The reason why option (A) is incorrect is because f(-10) [tex]\neq[/tex] 82. We can see:  [tex]= x^2 - 5x + 12\\= (-10)^2 - 5(-10) + 12\\= 100 + 50 + 12\\= 162 \neq 82[/tex]

The reason why option (D) is incorrect because the graph does not contain the point (20, -8). You can verify this by plugging the x-value of 20 into the equation for f(x) and solving for y:

Answer:

I need this answer as well l. let me know

Answer:

65.7

Step-by-step explanation:

8^2 + 5/3

64 + 5/3

= 65.7

The value of a is (5c-9)/3

Word problem is expressing a mathematical problems in words . Looking at the problem above

the sum a,b,c is twice the sum a-b and a-c.

This means that a+b+c = 2( a-b+a-c)

a+ b + c = 2( 2a-b-c)

a+b+c = 4a-2b -2c

collect like terms

3a = 3b + 2c

a = b+⅔c

and the difference of a+b and a-c is 3. Therefore,

a+b-(a-c) = 3

a+ b - a + c = 3

b+ c = 3

b = c-3

therefore substitute c-3 for b in 3a = 3b + 2c

3a =3( c-3) + 2c

3a = 3c - 9 +2c

3a = 5c -9

Therefore the value of a

a = (5c -9)/3

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Answer: y=-9

Step-by-step explanation:

Answer:

y = -9

Step-by-step explanation:

This means that no matter what x is, y will be -9.  This will created a horizontal line.

Some points on the line

(-9,-9) (-5,-9) (0, -9) (-2,-9) (5,-9)

a

its just counting

i think its a

The angle across from the 9 inch side has a measure of 47.8 degress

To find the angle across from 9 we make use of the sine rule

The sine rule states that

Let the vertices of the triangle be  XYZ

Applying the sine rule we have

Sinx/9 = sin 65/11

Cross and multiply to get

11sinx = 9*sin65

⇒sin x = (9*0.9063)/11

This is given as sin x= 8.1567/11

Sin x = 0.7415

X = Sin⁻¹0.7415

m<X=47.8⁰

The angle that is proportional to 9 inch is 47.8 degress.

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In the quadratic function the interval(s) on which the function is increasing is x < 1

The terms increasing and decreasing intervals refer to the points when a function is increasing or decreasing. By examining the sign of each interval's first derivative of the function, these intervals can be assessed.

When a function's first derivative is:

For the quadratic graph, the vertex is the maxima having a value of (1, 3). The function is increasing from negative infinity to 1 as seen in the graph.

hence the correct answer is x < 1

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The graph will be of the form of an open circle at the point 1.3 tending towards right.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

The inequality is,

5/8 z > 5/6

Dividing both sides by 5/8,

5/8 z ÷ 5/8 > 5/6 ÷ 5/8

z > 5/6 × 8/5

z > 8/6

z > 4/3

z > 1.33

The graph will be of the form of fourth option where the open circle is at the number 1.3.

Hence the graph will be of the form of fourth line at the point 1.3 tending towards right.

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The statement which correctly describes the data set include the following: D. the data is bivariate and numerical.

In Mathematics, a bivariate data can be defined as a type of data set which comprises information that are based on two (2) variables, usually two types of related data.

In Mathematics and statistics, a numerical data can be defined as a type of data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data simply refers to a type of data set consisting of numbers (numerals), rather than words or letters.

In conclusion, we can logically deduce that the given data set is both bivariate and numerical.

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Answer:

A.

Step-by-step explanation:

There is a difference in collecting information about a number, such as height, versus a subjective value, such as favorite ice cream. One can be quantified, and the other is described. This is the difference between categorical and numerical variables. Categorical variables may also be described as qualitative variables. Numerical variables may also be described as quantitative variables.

Not all data that use numbers are truly numerical. For example, if you survey individuals to get their area code, the result will show a variety of numbers. However, area codes are not a value that is logical to use for analysis. It is not useful to take the average of a group of social security numbers either. Use caution when classifying variables.

A bar graph or bar chart is typically used to represent categorical data.

Bar charts are used to represent categorical univariate data.

Hey man, I studied hard and aced my exam which included this question. Sucks when someone doesn't know their stuff right? Here is the correct answer and my explanation is directly from my teachers mouth.

Answer: X= -22
multiply both sides then move constant to the right then calculate whats left.

In the given parallelogram, the value of a is 40 and b is -10.

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

Given a parallelogram ABCD

Since, two opposite angles of Parallelogram is equal

Thus, ∠ B = ∠ D and ∠ A = ∠ C

From above equations

3a + b = 110....(1)

Since, sum of all angles in quadrilateral is 360

Thus,

110 + 3a + b + 2(a - 3b) = 360

110 + 110 + 2(a -3b) = 360

2 (a - 3b) = 360 - 220 = 140

a- 3b = 70.....(2)

From equation 1 and equation 2

Multiply with 3  in equation 1 and then add with equation 2

9a + 3b + a - 3b = 330 + 70

10a = 400

a = 40

From equation 2

40 - 3b = 70

b = -10

therefore, The value of a is 40 and b is 10 in the given parallelogram.

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An equation of the form f(x) = abˣ for the function will be;

⇒ f (x) = 5 × 3ˣ

A relation between a set of inputs having one output each is called a function.

Given that;

The ordered pairs (0, 5) and (1, 15) satisfy an exponential growth function.

Now,

Let an exponential growth function is,

⇒ f (x) = a bˣ

Here, The ordered pairs (0, 5) and (1, 15) satisfy an exponential growth function.

Hence, Substitute f (x) = 5 , and x = 0,

⇒ f (x) = a bˣ

⇒ 5 = a × b⁰

⇒ 5 = a × 1

⇒ a = 5

And, Substitute f (x) = 15. x = 1 and a = 5, we get;

⇒ f (x) = a bˣ

⇒ 15 = 5 × b¹

⇒ 15 = 5 × b

⇒ b = 15/5

⇒ b = 3

Thus, The exponential growth function is,

⇒ f (x) = a bˣ

⇒ f (x) = 5 × 3ˣ

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The number of peaches, p, that Muriel has is 5 and can be found with this equation: p = (17 - 2)/3.

An equation is a mathematical statement that shows that two or more mathematical expressions share equality.

The equality of the expressions is denoted by the use of the equation sign (=).

Equations have equivalent values.

The number of peaches that Frances possesses = 17

We are told that 17 is 2 more than 3 times the number that Muriel has.

This implies that the number of peaches that Muriel has, p, = 17 - 2 all divided by 3.

Equation: p = (17 - 2)/3

Check:

p = (17 - 2)/3

p = 15/3

p = 5

3 x 5 + 2 = 17

Thus, Muriel has 5 peaches while Frances has 17 peaches.

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On solving the provided question, we can say that - the value of the percentage will be is = x = 10

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

X% of 90 is 9

[tex]x/100 X 90 = 9\\x = 9/90 X 100\\x = 10[/tex]

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The True statements are:

Each element of X is given exactly one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

For D (x) = 2 x:

- x is the independent variable,

- D ( 6 ) = 2 · 6 = 12.

10 = 2 · 5,     12 = 2 · 9,     - 4 = 2 · ( - 2 ).

True statements are:

A ) D ( x ) is a function.

D ) D ( x ) is a direct variation.

E ) D ( x ) is a rule for the set of points ( 5, 10), ( 6, 12 ) and ( -2, - 4 ).

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The numeric value of each composite function is given as follows:

The functions in this problem are defined as follows:

From the composition of q and p, we have that:

[tex](q \circ p)(x) = q(p(x)) = q(x^2 + 9) = \sqrt{x^2 + 9 + 8} = \sqrt{x^2 + 17}[/tex]

At x = 8, the numeric value is found replacing the lone instance of x by 8, hence:

[tex]\sqrt{8^2 + 17} = \sqrt{81} = 9[/tex]

From the composition of p and q, we have that:

[tex](p \circ q)(x) = p(q(x)) = p(\sqrt{x + 8}) = (\sqrt{x + 8})^2 + 9 = x + 8 + 9 = x + 17[/tex]

At x = 8, the the numeric value is found replacing the lone instance of x by 8, hence:

8 + 17 = 25.

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Answer: 50°

Step-by-step explanation:

Hi ! As you can see, the whole angle on which there are the three angles is plane, so it is 180°.

And with this information, you can guess that : C = 180 - ( 65 + 65)

                                                                              C = 180 - 130

                                                                              C = 50°

You verify : 65 + 65 + 50 = 180, which means it should be correct, and there you go, hope it helped !