What goes in the blanks for "Table: Constant change across the _____ and constant change of the _____."

Step-by-step explanation:

Area of circle= Πr²

Πr² = 132² m

r²=132²/Π m

=5546.23m

r =√5546.23

=74.473 m

Answer:

C. To make predictions about the values of y for a given​ x-value (I THINK)

Rounded to the nearest cent, the total job cost for Randi is $6,138.99.

To calculate the total cost for Randi's carpeting job, we need to consider the cost of the carpet, foam padding, and labor.

1. Carpet cost:

The total square yards of carpet needed is:

Downstairs: 109.41 square yards

Halls: 30.41 square yards

Upstairs bedrooms: 160.51 square yards

The total square yards of carpet required is the sum of these areas:

109.41 + 30.41 + 160.51 = 300.33 square yards

The cost of the carpet per square yard is $13.60.

Therefore, the cost of the carpet is:

300.33 * $13.60 = $4,080.19

2. Foam padding cost:

The total square yards of foam padding needed is the same as the carpet area: 300.33 square yards.

The cost of the foam padding per square yard is $3.10.

Therefore, the cost of the foam padding is:

300.33 * $3.10 = $930.81

3. Labor cost:

The labor cost is quoted at $3.75 per square yard.

Therefore, the labor cost is:

300.33 * $3.75 = $1,126.99

4. Total job cost:

The total cost is the sum of the carpet cost, foam padding cost, and labor cost:

$4,080.19 + $930.81 + $1,126.99 = $6,138.99

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Answer: 26.6 repeating number or 26 2/3

Step-by-step explanation:

A) Figure RST is congruent to figure R′S′T′.

Answer:

a

Step-by-step explanation:

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

Sorry bro, Even I need to know this anwer

Step-by-step explanation:

Answer:

The lateral surface area is 510 \(ft^{2}\)

Step-by-step explanation:

The lateral surface area is the area of the "tunnel" part of the triangle

Answer:

honestly i got 273.6 so i'm thinking that he would have to pay about 273 times........

Step-by-step explanation:

Answer:

15$

Step-by-step explanation:

The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

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Answer: A.

\(H_0:p=0.12\\\\H_a:p<0.12\)

Step-by-step explanation:

Null hypothesis\((H_0)\) : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.  

Alternative hypothesis \((H_a)\): A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.

Let p be the proportion of screens that will be rejected.

12 percent of the screens manufactured using a previous process were rejected at the final inspection.

(i.e. p= 0.12)

Objective of the study = whether the new process reduces the population proportion of screens that will be rejected

i.e. p< 0.12

So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:

\(H_0:p=0.12\\\\H_a:p<0.12\)

Answer:

15%

Step-by-step explanation:

0.15 x 100 = 15%

Answer:

20 pounds

Step-by-step explanation:

To know the number of pounds it will take for UPS and FedEx to cost the same, we will equal both the equations. Hence, it will take 20 pounds to make both equal.

Answer:

28

Step-by-step explanation:

4/65 then ?/455

divide 455 by 65 to get 7

4/65=4x7/65x7(455)

4/65=28/455

therefore there are 28 boxes with the coupon out 455

It is being proved that the value of angle 3 in the diagram given is 70°.

We are given that:

∠2 ≅ ∠ 4

∠ 2 = 110°

We need to prove that:

∠ 3 = 70°

Now, we can see from the diagram that:

∠2 = ∠ 4 ( alternate exterior angles)

∠ 4 = 110°

Also,

∠ 4 + ∠ 3 = 180 ° ( linear pair)

Substituting the value of ∠  4 in the above equation, we get that:

110° + ∠ 3 = 180°

∠ 3 = 180° - 110°

Solving the equation, we get the value of ∠ 3 as:

∠ 3 = 70°

Hence proved.

Therefore, it is being proved that the value of angle 3 in the diagram given is 70°.

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Answer:

$.20 × (x) + $79

Step-by-step explanation:

To find out how much needs to be paid, subtract the 500 from the total amount of minutes used to find the amount of minutes used over 500. Then, multiply the additional minute cost by the additional minutes and the add the normal price to that.

Say they used 560 minutes in a month. You would subtract 500 from 560 to get to get 60. Then, you would multiply 60 by $.20 to get $12. Then, add $12 to the original price of $79 to get $91, and that would be the total cost that month.

560 - 500 = 60 × $.20 = $12 + $79 = $91

To construct a confidence interval for the proportion of defectives, we should use the plus four method.

Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes. 

The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.

To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.

This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.

The equation for the certainty interim utilizing the also four strategies is:

p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)

where:

p is the test extent (number of defectives/test estimate)

zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2

n is the test estimate (counting the included four nonexistent perceptions)

Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

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Answer:

q > 3

Step-by-step explanation:

12q>36

Divide each side by 12

12q/12>36/12

q > 3

Answer:

The answer is A

Step-by-step explanation:

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.

The name of each midpoint and the segment it bisects include the following:

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

In this scenario, the name of each midpoint and the segment it bisects include the following:

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Complete Question:

Name each midpoint and the segment it bisects.

Answer:

It's a line parallel to the y-axis

Step-by-step explanation:

Note that the similar x value in both coordinates.

Then it's a line drawn parallel to the y-axis

Therefore, the slope is infinite as it makes a right angle with the x-axis.

The coordinates of G which divides EF in the ratio 1:2 is (-6,1)

Coordinates: In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

given that EF with E(-7, 4) and F(-4,-5),

and if G lies on EF such that the ratio of EG to GF is 1:2

Now here we need to find the coordinates of G which divides EF in the ratio 1:2

to find the value of G once refer the graph from the diagram

here lets take the ratio in the form of fraction

which mean EG:GF

                   =1/1+2:2/1+2

                   =1/3:2/3

there, firstly find the difference between the coordinates of E and F

⇒ (-7-(-4),4-(-5)) = (-3,9)

secondly find 2/3rd of the distance using the above points

(here we can take 1/3rd too if we use 1/3rd then we have to use E coordinates)

2/3(-3)=-2

2/3(9)=6

Add these to the coordinates of F

which is equal to= (-4+(-2),-5+6)

                           = (-6,1)

the coordinates of G which divides EF in the ratio 1:2 is (-6,1)

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Answer:4,050

Step-by-step explanation:

The volume of the rectangular prism is 4050 centimeter cube

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

In geometry, a rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles

Height of the rectangular prism =15 cm

Area of the base =270 centimeter square

Volume of the rectangular prism = Area of the base × Height

=270×15

=4050 centimeter cube

Hence, the volume of the rectangular prism is 4050 centimeter cube

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Answer:

13.05

Step-by-step explanation:

Answer:

42.875

Step-by-step explanation:

First you find the x-intercepts and the vertex of the equation.

(-5, 0), (-2, 0), (-3/2, 49/4)

You use those coordinates to find the sides of the triangle and then you use the lengths to find the semiperimeter.

Lastly, you use Heron's formula to compute the area.

The area of the triangle is required.

The area of the triangle is \(42.875\ \text{units}^2\)

\(y=-x^2-3x+10\)

The x intercepts are

\(-x^2-3x+10=0\\\Rightarrow x=\dfrac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\left(-1\right)\times 10}}{2\left(-1\right)}\\\Rightarrow x=-5,2\)

The x intercepts are

\((-5,0),(2,0)\)

Distance between them is

\(2-(-5)=7\ \text{units}\)

Vertex of a parabola is given by

\(x=-\dfrac{b}{2a}\\ =-\dfrac{-3}{2\times -1}\\ =-1.5\)

\(y=-(-1.5)^2-3(-1.5)+10=12.25\)

So,

Base = b = 7 units

Height = h = 12.25 units

Area is

\(A=\dfrac{1}{2}bh\\\Rightarrow A=\dfrac{1}{2}\times 7\times 12.25\\\Rightarrow A=42.875\ \text{units}^2\)

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Answer:

The one in the bottom left

Step-by-step explanation:

I suppose you mean to convert 58₁₀ to base 2, and not 5810₁₀ to base 2.

Write 58 as the sum of the largest powers of 2 that you can:

58 = 32 + 26

58 = 32 + 16 + 10

58 = 32 + 16 + 8 + 2

58 = 2⁵ + 2⁴ + 2³ + 2¹

58 = 1×2⁵ + 1×2⁴ + 1×2³ + 0×2² + 1×2¹ + 0×2⁰

⇒   58₁₀ = 111010₂

To convert from base 2 to base 10, write out and simplify the decimal expansion as in the last line of the previous example.

10111₂ = 1×2⁴ + 0×2³ + 1×2² + 1×2¹ + 1×2⁰

10111₂ = 16 + 0 + 4 + 2 + 1

⇒   10111₂ = 23₁₀

#a

\(\\ \sf\Rrightarrow (58)_{10}\)

\(\\ \sf\Rrightarrow (2+8+16+32)_{10}\)

\(\\ \sf\Rrightarrow (2^1+2^3+2^4+2^5)_{10}\)

\(\\ \sf\Rrightarrow 0(2^0) 1(2^1)+0(2^2)+1(2^3)+1(2^4)+1(2^5)\)

\(\\ \sf\Rrightarrow (111010)_2\)

#b

\(\\ \sf\Rrightarrow (10111)_2\)

\(\\ \sf\Rrightarrow 1\times 2^0+1\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4\)

\(\\ \sf\Rrightarrow 1+2+4+16\)

\(\\ \sf\Rrightarrow (23)_{10}\)

Answer: 4 blocks west, 6 blocks south

Step-by-step explanation: east and west are opposites 5-1=4 blocks west. 4+2=6 blocks south. the direction would be south-west.

The 95% tolerance limits that contain 95% of the diameters is 2.262

Diameter:

In math, the straight line passing through the center of a circle or sphere and meeting the circumference or surface at each end is known as diameter.

Given,

Here we need to find the 95% tolerance limits that contain 95% of the diameters estimation of the mean diameter, while important, is not nearly as important as trying to pin down the location of the majority of the distribution of diameters.

According to the given question we have identified the following values,

Tolerance percentage = 95%

Diameter percentage = 95%

x = 61,492

n = 10

s = 3035

c = 95% = 0.95

Now, the value of t is determine by looking in the row starting with degrees of freedom 

=> df = n−1 = 10−1 = 9 and in the column with 

=> α/2 = (1−c)/2

=>0.025 

Then as per the table of the Student’s T distribution:

=> tα​=2.262

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Problem

Solution

We want to find the sum of 3/10 and 1/3 so we can do the following operation:

(3*3 + 1*10)/ (10*3)

And if we solve we got:

(9 +10)/ 30 = 19/30

And our final solution would be 19/30