f(x) = x2. What is g(x)?
g(x)
f(x) = x2
(4,1)
O A. g(x) = 1x2
9(x) = (3)
O B. 9(x) =
O ) (1)
C. g(x) =
( D. (x) = 42

The blanks in this two-column proof should be completed (filled) as follows:

Statements                                             Reasons_______________

m∠RST = 5x° and m∠UVW = 7x°                Given

∠RST and ∠UVW are supplementary

m∠RST = 5x° + m∠UVW = 180           definition of supplementary angles

5x + 7x = 180                                       substitution property of equality

12x = 180                                              addition property of equality

x = 15                                                    division property of equality

In Mathematics, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this context, we can logically deduce that the sum of angles RST and UVW are supplementary angles:

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Graph for the equation ( y = -300x +  1200 ) below

y-intercept = ( 0, 1200 )

x-intercept = ( 4, 0 )

Hope this helps! :)

The y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 ).

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Given:

y=-300x+ 1200

Now, for y- intercept put x=0

y= 1200

and, for x- intercept put y= 0

0 = -300x +1200

x= 4

Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 ).

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Answer:

31

Step-by-step explanation:

The solution of expression 20 divided by cos70° is,

⇒ 20 divided by cos70° = 58.82

We have to given that,

A number 20 divided by cos70°.

We can simplify the expression as,

20 divided by cos70°

⇒ 20 ÷ cos 70°

⇒ 20 / cos 70°

⇒ 20 / 0.34

⇒ 20 x 100 / 0.34x100

⇒ 2000/34

⇒ 58.82

Therefore, The solution of expression 20 divided by cos70° is,

⇒ 20 divided by cos70° = 58.82

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Answer:

both a and b

Step-by-step explanation:

It is because in the elimination method it does not matter whether you eliminate x or y so if you use option a which multiplies -2 by 1st equation so it will become:

-4x+6y=40

4x+6y=8

so the -4x and 4x cancels and a is a valid option.

If you use the b which multiplies the second with 3 it becomes:

2x-3y=-10

4x+3y=24

so -3y and 3y cancel which also makes this a valid option.

Answer: both a and b

For the given triangle, the value of x would be 12.

What is the geometric mean theorem of a triangle?

According to the geometric mean theorem, the length of an altitude drawn from a triangle's right angle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

For the given triangle, we can apply the geometric mean theorem,

                      By the geometric mean theorem, we can write

                                      6² = 3 * x

                                      36 =  3 * x

                                  ⇒ x = 36/3

                                  ⇒ x = 12.

Hence, for the given triangle, the value of x would be 12.

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Answer:

D.4y−x=4

Step-by-step explanation:

Perpendicual lines have a slope that is the negative inverse of the referenced line.  The reference here is:

       y = -4x-5

The slope is -4

The negative inverse of -4 would be +(1/4).  Any line that has a slope of +(1/4) will be perpendicular to y=-4x+5.

The equations in the answer options are not arranged according to the standard format of y=mx+b, where m is the slope and b the y-intercept.

We could graph all the equations and look for the one(s) that are perpendicualr, but it might be safer, and faster, to rearrange them in the standard format, and then note the slope:

                                  Slope     =+(1/4)?

A. x+4y=-32  

    4y= -x-32

     y = -(1/4)x-8        -(1/4)           NO

B.4x+y=3

     y = -4x + 3            -4                NO

C.4x−y=−4

     y = 4x + 4             4                 NO

D.4y−x=4              

     4y=x+4               +(1/4)      <==YES

      y=(1/4)x+1    [Option D has a slope of +(1/4).  It will be perpendicular]

See the attached graph.

The length of one of the legs of the triangle is 65 units.

An isosceles triangle has a base length of 126 units and a height of 16 units. We need to find out the length of one of the legs of the triangle.

First of all, we will consider a perpendicular bisector of the triangle. This divides the given triangle into two equal right-angled triangles. Now, in the smaller triangle, we will use the Pythagorean theorem.

Let the length of the leg be represented by the variable "x". The length of the base of the right-angled triangle is half the length of the base of the original triangle.

x² = (16)² + (126/2)²

x = √(256 + 3,969)

x = √4,225

x = 65

Hence, the length of one of the legs of the triangle is 65 units.

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Answer: r = 77.3 degrees

Step-by-step explanation:

-Add both numbers together.

- 46.2

+ 31.1

= 77.3

-That is the value of "r".

The area of wallpaper required is 0.98 [tex]m^{2}[/tex]

Mensuration is a division of mathematics that studies geometric figure calculation and its parameters such as area, length, volume, lateral surface area, surface area, etc. It outlines the principles of calculation and discusses all the essential equations and properties of various geometric shapes and figures. 

Mensuration is a subject of geometry. Mensuration deals with the size, region, and density of different forms both 2D and 3D. Now, in the introduction to Mensuration, let’s think about 2D and 3D forms and the distinction between them.

d = 0.26m

h = 1.2m

s = pi * d * h

 = 0.98 square meter

the area of wallpaper required is 0.98 [tex]m^{2}[/tex]

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Answer:

0.98 m²

Step-by-step explanation:

I got it right hope this helps.

Answer: b

Step-by-step explanation:

Answer:

He will save 1 cent per pound if he buys the Sweet Sugar brand

Answer: $195.70

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

∠ A and ∠ B are vertically opposite angles and are congruent. that is

∠ A and ∠ B are vertical angles

The correct value for the precision is found to be  0.0013 for the survey.

The formula for finding the precision  is-

Precision = E(closure)/ Perimeter

E(closure) = √(ed)² + (el)²

Where,

error in latitude (el) = 0.82 ft

error in departure (ed) = 0.35 ft.

Perimeter = 684.5 ft.

Find the E(closure)

E(closure) = √(0.82)² + (0.35)²

E(closure) = 0.89

Precision = 0.89/684.5

Precision = 0.0013

Thus, the correct value for the precision is found to be  0.0013 for the survey.

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Answer:

90 degrees is the amount of degrees in a right angle

The statement which could be true for the function, g as required in the task content is; Choice C; g(0) = 2.

It follows from the task content that the statement which could be true about the function g is to be identified.

Since the given function instances are; g(0) = -2 and g(-9) = 6.

Since the function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45.

Hence, the statement which could be true about the function, g is; Choice C; g(0) = 2.

This is so because, 0 is in the domain of the function and 2 is in the range of the function.

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Answer:

f(x) = |x-3| + 5

The likelihood of their next third child having additional digits of (six fingers on each hand and six toes on each foot) is 1/2.

For the given condition,

Because the father has the dominant feature as well as the mother is now in normal condition, there is a 50% chance that this deformity will be passed down to children.

Thus, the likelihood of their next (third) child having additional digits is 1/2.

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The algebraic expression is C(5) =2.5 * 5 + 1.4 and the total cost is $13.9

From the question, the equation of the total sales amount is given as

Equation = 2.3q + 1.4

Where q represents the number of days

Rewrite as

Cost = 2.3q + 1.4

Express the equation as a cost function

So, we have the following representations

C(q) = 2.3q + 1.4

When the number of days is 5, we have

q = 5

Substitute the known values in the above equation So, we have the following equation

C(5) =2.5 * 5 + 1.4

Evaluate the products

C(5) = 12.5+ 1.4

Evaluate the sum

C(5) = 13.9

Hence, the total cost for the 5 days is $13.9

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The value of 9 pounds of blueberries is $24.75.

The value of 5 pounds of blueberries is $13.75.

The fact that the Blueberry Farm sells 6 pounds of blueberries for $16.50 implies that the cost per pound will be:

= $16.50 / 6

= $2.75

Therefore, 9 pounds of blueberries cost:

= Cost per pound × 9

= $2.75 × 9

= $24.75

5 pounds of blueberries will cost:

= 5 × $2.75

= $13.75

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The correct answer is Option B. Parameters are defined as a group of numerical characteristics of a population.

Parameters are generally the numbers or values that represent the whole population's numerical characteristics. There is a difference between Statistics and Parameters.

Statistics is generally defined as the numerical characteristics of a sample. For example, a sample of standard mean or a sample of standard deviation is an example of statistics.

Parameters are the numerical representation of the characteristics of a population. For example, Population mean or Population standard deviation are examples of Parameters. These represent the data or the characteristics of the population in numerical.

Hence, the correct answer is Option B.

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The correct answer is Parameters are described as a group of numerical characteristics of a population.

In general, Parameters are the numerical values that represent the entire population's numerical characteristics. There is a variation between Statistics and Parameters. Statistics are defined as the numerical characteristics of a sample. A sample of standard mean deviation or a sample of standard deviation are examples of statistics.

               Parameters are the numerical portrayal of the characteristics of a population.  Population mean deviation or Population standard deviation are examples of Parameters. These depict the information or the characteristics of the population in a numerical way.

Hence, the correct answer is Parameters are described as a group of numerical characteristics of a population.

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Given the graph, the vertex does not exist and the transformations from are

The graph represents the given parameter

In the above graph, we can see that the graph is a cubic function

By definition, cubic functions do not have vertex. This is because they have no minimum or maximum

So, we can conclude that the graph has no vertex

In (a), we have

We can see that the graph is a cubic function

This function is represented as

y = ∛x

In this graph, we can see that the graph is 4 units to the left

i.e. y = ∛(x - 4)

And 2 units below the origin

i.e. y = ∛(x - 4) + 2

So, the transformation is (b) and (c)

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Answer:

Step-by-step explanation:

The locations of the destinations given by the angles formed between parallel lines and their common transversal in the question are;

1) US Capitol

2) CIA Building

3) US Capitol

4) US Treasury

5) Walmart

The relationship between the angles formed are;

1) The location that is at a corresponding angle to the White House is the Supreme Court

The location at the vertical angle to the Supreme Court is the Smithsonian Institute

The location that is at the angle right adjacent to the Smithsonian Institute is the US Capitol

2) The location that is vertical angles to the FBI Building is the National Zoo

The same side interior angle to the National Zoo is the National Coffee shop

The location at the alternate interior angle to the National Coffee Shop is the CIA Building

3) The location at the alternate exterior angles to Lincoln Memorial is Walmart

The adjacent location that is a right angle to Walmart is the White House Gardens

The location that is at the corresponding angle to the White House Gardens is the US Capitol

4) The location that is at the corresponding angle location to the Smithsonian Institute is the National Zoo Gift Shop

The location that is at the same side interior angle to the national gift shop is the US Capitol

The location that is at the vertical angle location to the US Capitol is the US Treasury

5) The location that is at alternate interior angle location to the Ford's theater is the US Capitol.

The location that is supplementary with the Vietnam War Memorial and the National Zoo is the National Coffee Shop

The location at the angle that is vertical from the National Coffee Shop is the Lincoln  Memorial

The location that is at alternate exterior angle with the Lincoln Memorial is Walmart

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The level of a independent variable known to as the "Control group" is designed to portray a neutral state.

The cause is the independent variable. Its value is unaffected by the other study variables.

You plan a study out whether variations in the room's temperature have an impact on students' math test results.

Consequently, "control group" refers to a level of such an independent variable that is meant to stand in for "no treatment" or a neutral circumstance.

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Answer:

74 square yards

Step-by-step explanation:

Area of rectangular garden:

                 l = 20 yds

                 w = 15 yds

     Area of the rectangular garden = l *w

                                                          = 20 * 15

                                                          = 300 square yards.

Area of the outer rectangle (rectangular garden and the sidewalk):

             length = 20 + 1 + 1 = 22 yds

            width   = 15 + 1 + 1  = 17 yds

       Area of outer rectangle = 22 * 17

                                               = 374 square yards

To find the area of the sidewalk, subtract the area of rectangular garden from the outer rectangle.

Area of the sidewalk = area of outer rectangle - area of sidewalk

                                  = 374 - 300

                                  = 74 square yards

Answer:123

Step-by-step explanation:

7328x3424

Steven battling average for the whole season he played was 0.45

An equation is an expression showing the relationship between two or more numbers and variables.

Steven hit the ball 12 times out of 26 at bats in the first half of the season and 6 times out of 14 at bats in the second half of the season.

Hence:

Batting average = (total number of time he hit the ball in both season half) / (total number of balls thrown)

Therefore:

Battling average = (12 + 6)/ (26 + 14) = 18 / 40 = 0.45

Steven battling average was 0.45

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x = -1 is the solution to the given inequality |x| - 2 ≤ -3.

The five steps to resolving inequalities are as follows?

When addressing an inequality, we can:

Isolate the variable on one side of the inequality and place all other constants on the other. To achieve this, alter the inequality by performing opposing procedures. First, multiply each side by two to isolate the x. Any action you take toward one side must also be taken toward the other.

C) If x = -1,

|x| - 2 ≤ -3

|-1| - 2 ≤ -3.

1 - 2 ≤ -3.

-1 ≤ -3 which is true.

Hence, x = -1 is the solution to the given inequality |x| - 2 ≤ -3.

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Answer:

2 swimming pool lengths

Step-by-step explanation:

to answer this we divide 1/2 by 1/4

1/2/1/4

1/2x4/1=4/2

2 swimming pool lengths

hopes this helps please mark brainliest