boston thinks that the domain is all positive real numbers between 0-4 while caleb thinks it is all whole numbers between 0-4. who do you agree with, and why?

Step-by-step explanation:

y = 6x

..................

Answer:

The answer is D

Step-by-step explanation:

B/c when probability comes 0 it is impossible out comes

Answer:

3.) a. 9mm b. 10mm c. 8mm

Step-by-step explanation:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Formula:

a + b = (answer) > c

a + c = (answer) > b

b + c = (answer) > a

try to solve it yourself so you can do it on your own in the future.

Let's find the equivalent equation to:

4x + 2y = 12

2y = 12 - 4x

Dividng by 2 at both sides:

2y/2 = 12/2 - 4x/2

y = 6 - 2x

We can see that choices B and C are not correct because the signs.

If we multiply by 2 at both sides, we have:

2y = 12 - 4x

We can see that if we change the order at the right side of the equation, we have:

2y = -4x + 12

I think now you are ready to select the correct choice, Deppreso.

The solution is optimal since reduced cost for all the unallocated cells is greater than zero.

Spreadsheet: (Copy paste in excel)  Plants  Production cost per  units  Customers and Transportation Cost per units        Tacoma  San Diego  Dallas  Denver  St. Louis  Baltimore  Tampa        Macon  35.5  2.5  2.75  1.75  2  2.1  1.8  1.65        Louisville  37.5  1.85  1.9  1.5  1.6  1  1.9  1.85        Detroit  39  2.3  2.25  1.85  1.25  1.5  2.25  2        Phoenix  36.25  1.9  0.9  1.6  1.75  2  2.5  2.65                                      Customers and combined cost per units  Supply      Plants     Tacoma  San Diego  Dallas  Denver  St. Louis  Baltimore  Tampa      Macon     =+$B3+C3  =+$B3+D3  =+$B3+E3  =+$B3+F3  =+$B3+G3  =+$B3+H3  =+$B3+I3  18000      Louisville     =+$B4+C4  =+$B4+D4  =+$B4+E4  =+$B4+F4  =+$B4+G4  =+$B4+H4  =+$B4+I4  15000      Detroit     =+$B5+C5  =+$B5+D5  =+$B5+E5  =+$B5+F5  =+$B5+G5  =+$B5+H5  =+$B5+I5  25000      Phoenix     =+$B6+C6  =+$B6+D6  =+$B6+E6  =+$B6+F6  =+$B6+G6  =+$B6+H6  =+$B6+I6  20000      Demand     8500  14500  13500  12600  18000  15000  9000                                 Subject To:                        Plants     Customer Plant (TO)                        Tacoma  San Diego  Dallas  Denver  St. Louis  Baltimore  Tampa  Produced     Supply  Philadelphia, PA     69.0000000000002  0  0  0  0        =SUM(C19:I19)  <=  =+J10  Atlanta, GA     470  428  0  12.0000000000001  0        =SUM(C20:I20)  <=  =+J11  St. Louis, MO     0  0  939  261  0        =SUM(C21:I21)  <=  =+J12  Salt Lake City, UT     0  0  0  328  302        =SUM(C22:I22)  <=  =+J13  Shipped     =SUM(C19:C22)  =SUM(D19:D22)  =SUM(E19:E22)  =SUM(F19:F22)  =SUM(G19:G22)  =SUM(H19:H22)  =SUM(I19:I22)               >=  >=  >=  >=  >=  >=  >=        Demand     =0.8*C14  =0.8*D14  =0.8*E14  =0.8*F14  =0.8*G14  =0.8*H14  =0.8*I14                                Total Transportation + Production Cost  =SUMPRODUCT(C10:I13,C19:I22)           Excel Sheet and Solver Option:

Excel image is attached below.

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The quadrilateral ABCD is a square.

To show  that a quadrilateral is a square, we need to show that all four sides are equal in length and that the angles are all right angles.

So let's calculate the distances between the given points like this

AB  = √((3-0) ² + (0 -4)²)

= √(9  + 16) =   √(25)

= 5

BC = √((7-3)² + (3-0)²)

= √(16 + 9)

= √(25) = 5

CD = √((4-7) ² + (7-3) ²)

= √(9 + 16)

= √(25)

= 5

DA = √ ((0-4) ² + ( 4- 7) ²)

= √(16 + 9)

= √(25)

= 5

This shows that all the sides are equal in lenght. Now, lets solve for the slopes.

mAB = (0-4)/(3-0)

= -4/3

m BC

= (3- 7)/(0-3)

= 4/3

mCD  = ( 7-4)/(3- 0)

= 3/3 = 1

mDA = (0-4)/(4-0)

= -4/4 = -1

Since the slopes of opposites sides are reciprocals thus, the quadrilateral ABCD is a Square.

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Complete question is below

What type of quadrilateral is A B C D ? Explain your reasoning.

Answer:

sin Ф = \(\frac{\sqrt{2} }{2}\)

cos Ф = \(\frac{\sqrt{2} }{2}\)

tan Ф = \(\frac{\sqrt{2} }{\sqrt{2} }\)

csc Ф = \(\frac{2}{\sqrt{2} }\)

sec Ф = \(\frac{2}{\sqrt{2} }\)

cot Ф = \(\frac{\sqrt{2} }{\sqrt{2} }\)                                                    

Step-by-step explanation:

Given the provided coordinates of the points, The shape that is formed is a parallelogram because the slopes of the opposite sides are same.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

slope between (1,1) and (4,4),

m1 = 4-1/4-1 =3/3 =1

slope between (4,-2) and (7,1),

m2= 1+2/7-4 = 3/3 =1

m1=m2

similarly, slope between (1,1) and (4,-2),

m3= -2-1/4-1 = -3/3 =-1

slope between (7,1) and (4,4)

m4= 1-4/7-4 = -3/3 =-1

m3=m4

So, slopes of opposite sides are same that means they are parallel, The shape is parallelogram.

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Answer:

two

Step-by-step explanation:

It is true that statistical output provides a means for creating a picot question.

The letters PICOT stand for patient, intervention, comparison, outcome, and (occasionally) time, which are the components of a clinical research question. A case scenario is used to frame the question in the PICOT process in order to elicit an answer. A PICOT question's main objective is uncomplicated: It is a mechanism for determining the keywords to use when looking for the strongest evidence to address a pressing clinical question. In other words, the search plan is the PICOT question. The search strategy produces an objective and successful search.

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Answer:

 V = 706.86 cubic centimeters       \((225\pi )\)

Step-by-step explanation:

\(V=\pi r^{2} h=\pi( \frac{10}{2} )^{2} (9)=225\pi =706.86\)

Hope this helps

Answer:

V = 225 π  cm³

Step-by-step explanation:

V of a cylinder = π · r² · h

r is the radius, yet in the picture is given the diameter.

We know that d= 10 cm and that the radius is half of it so r = 5

h is the height of the cylinder and in the picture is given to be 9 cm

because we are asked to find the exact value we will live pi as a symbol π, rather then change it into a number that will not be exact

V = π · 5² · 9

V = π ·25·9

V = 225 π  cm³

If angle a is 50 degrees and angle c is 28 degrees, the measure of angle b is 102 degrees. Correct option is C.

To find the measure of angle b, we need to use the fact that the sum of the angles in a triangle is always 180 degrees. Therefore, we can set up an equation:

angle a + angle b + angle c = 180 degrees

Substituting the given values:

50 degrees + angle b + 28 degrees = 180 degrees

Simplifying:

angle b = 180 degrees - 50 degrees - 28 degrees

angle b = 102 degrees

Therefore, Option C is correct answer.

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Answer:

25mL

Step-by-step explanation:

Density of this irregular shaped object is 2gm/cm³

Amount of water displayed = 25 ml

Mass of solid = 50 grams

Density of this irregular shaped object

1 ml = 1 cubic centimeter

So,

Density of this irregular shaped object = Mass of object / Volume of object

Density of this irregular shaped object = 50 / 25

Density of this irregular shaped object = 2gm/cm³

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The value of JK is 14.28

Measurement of angle K is 90 degrees

To determine the measurement of the side, we need to note that;

The Pythagorean theorem is a mathematical theorem stating that the square of the longest side of a triangle, called the hypotenuse is equal to the sum of the squares of the other two sides of that triangle.

From the information given, we have that;

Hypotenuse = 20

Adjacent = 14

opposite = JK

Substitute the values

20² = 14² + JK²

find the square values

400 = 196 + JK²

collect like terms

JK² = 204

Find the square root of both sides

JK = 14. 28

The angle K takes the value of a right angle = 90 degrees

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Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).

A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.

By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).

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The kite is about 16.5 yards above the edge of the pond.

You are flying a dragon kite. It's connected to 36 yards string. The kite is directly above the end of the pond. The edge of the pond is 32 yards where the kite is tied to the ground.

Therefore, the height of the kite above the ground can be calculated as follows:

This situation form a right angle triangle. Hence, using Pythagoras's theorem,

Therefore,

h² = 36² - 32²

h² = 1296 - 1024

h = √272

h = 16.4924225025

Hence, the height of the kite is 16.5 yards.

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The first series, Συ, is an infinite geometric series with the common ratio of b. The second series, Σ b k-1, is an infinite series with terms that are just powers of b.

For the first series to converge, we need the absolute value of b to be less than 1, so -1 < b < 1. For any other value of b, the series will diverge.

The second series, on the other hand, will only converge if b is less than 1 in absolute value, so -1 < b < 1. If b is greater than or equal to 1, the series will diverge.

(a) The first series, Σu, is a constant series, meaning that every term in the series is the same constant value (u). The second series, Σ(b^k-1), is a geometric series with a common ratio of b.

(b) For the constant series Σu, it will only converge if the constant value is 0. Otherwise, the series will either grow infinitely or decrease infinitely, depending on the sign of the constant.

(c) For the geometric series Σ(b^k-1), it will converge if the common ratio (b) is between -1 and 1 (i.e., -1 < b < 1). If the common ratio is outside of this range, the series will not converge.

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The most basic distinction between types of data is that some data are quantitative while other data are qualitative. Quantitative data consists of numerical information that can be measured or counted, allowing for statistical analysis and objective comparisons. This type of data can be further classified into two subcategories: continuous data and discrete data.

Continuous data represent measurements that can take on any value within a specified range, such as height, weight, temperature, or time. These measurements can be represented using fractions or decimals and are typically collected using precise instruments like rulers or thermometers.

Discrete data, on the other hand, consist of distinct, separate values that can be counted or categorized. Examples of discrete data include the number of students in a class, the number of cars in a parking lot, or the number of books sold in a month. Discrete data is often collected through surveys or counting processes.

In contrast, qualitative data are non-numerical and describe attributes, characteristics, or experiences. This type of data is typically obtained through observation, interviews, or open-ended survey questions. Examples of qualitative data include feelings, opinions, beliefs, or descriptions of events.

In summary, the primary distinction between types of data lies in their nature: quantitative data is numerical and allows for objective measurement, while qualitative data is descriptive and explores subjective aspects. Understanding the difference between these two types of data is essential for conducting accurate and meaningful research.

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Answer:

D

Step-by-step explanation:

1/2x-2>0

+2 +2

2(1/2x)>(2)(2)

x>4

The correct response is c. 8√2 . The length of the diagonal if the side of the square is 8√2.

A polygon's opposed vertices (or corners) are connected by a line segment known as a diagonal. Or to put it another way, a diagonal is a line segment joining two polygonal vertices that are not neighbouring. With the exception of the figure's edges, it connects a polygon's vertices. For instance, a diagonal line or movement runs slopingly from one corner of a square to the other corner. a type of straight line called a diagonal. Straight up, down, or across are not possible on a diagonal line. It is a line that joins the corners of a form at two points. Instead of running straight up or across, a diagonal is formed by a straight line that is positioned at an angle.

Right isosceles triangles with both legs 8 feet long would make up each half.

The hypotenuse that both of those triangles would share is the diagonal.

We must determine the hypotenuse's length, d, in feet.

According to the Pythagorean theorem, the lengths of the legs' squares sum up to the length of the hypotenuse's square, so

\(8^{2} +8^{2} =8\sqrt{2}\)

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A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8ft? Leave your answer in simplest radical form.

a. 16√8

b. 2√8

c. 8√2

d. 4

Completing a square is a method for transforming a quadratic equation’s form so that its LHS becomes a perfect square, commonly known as vertex form. This is accomplished by rearranging the phrase.

X2 is x multiplied by itself, which is symbolized by and may be expressed as xx or x(x) as an algebraic term. 2 is an exponent in. It denotes that x has been multiplied by itself twice. x 2 = x .

heres the answer is, X squared is a helpful notation that we use in math. It can be used in different kinds of algebraic expressions. It simplifies our calculations and allows us to develop formulas to solve problems quicker!

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The average rate of change of the function over the interval -2 ≤ x ≤ 4 is given as follows:

4.

The average rate of change of a function is given by the change in the output divided by the change in the input.

The two points in this problem are given as follows:

(-2, -3) and (4,21).

Hence the change in the output is of:

21 - (-3) = 24.

The change in the input is of:

4 - (-2) = 6.

Hence the rate is of:

24/6 = 4.

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The word “quantity” indicate to use a variable

The phrase is given as:

quantity

In an algebraic expression, phrases are used to indicate variables

So, anywhere the word is used, it implies that we make use of a variable

Take for instance:

A quantity is more than 2 means x > 2

Hence, the word “quantity” indicate to use a variable

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The probability of getting all 4 cards from different suits is 0.267 or approximately 26.7%.

There are 4 suits in a standard deck of cards, and there are 13 cards in each suit. There are C(52,4) ways to choose 4 cards from a deck of 52 cards.

To calculate the probability of getting 4 cards from different suits, we can break it down into steps:

Choose 1 card from any suit (there are 52 possible cards to choose from).

Choose the next card from one of the 39 remaining cards of a different suit (there are 39 cards remaining after taking out the 13 cards from the first suit).

Choose the third card from one of the 26 remaining cards of a different suit (there are 26 cards remaining after taking out the 13 cards from the first and second suits).

Choose the fourth card from one of the 13 remaining cards of a different suit (there are 13 cards remaining after taking out the 13 cards from the first, second, and third suits).

The probability of getting all 4 cards from different suits can be calculated as:

P = (52/52) x (39/51) x (26/50) x (13/49) = 0.267

Therefore, the probability of getting all 4 cards from different suits is 0.267 or approximately 26.7%.

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a) 243= 3⁵

b) 1331= 11³

c) 343= 7³

Answer:

Option (2)

Step-by-step explanation:

Arrow shown on the left hand side of the number line represents the inequality,

x < 5 [No sign of 'equal to' because arrow starts with a hollow circle]

Arrow given on the right hand side of the number line will represent,

x > 18

And these arrows represent the two solution areas of x, so the composite inequality that represents the graph will be,

x < 5 or x > 18

Option (2) will be the answer.

Reflexive:

The relation R is not reflexive because for any positive integer x, (x,x) cannot be in R since |x-x| is not equal to 2.

Symmetric:

The relation R is not symmetric since if (x,y) is in R, then |x-y| = 2. But this does not imply that |y-x| = 2. Therefore, (y,x) may not be in R.

Antisymmetric:

The relation R is antisymmetric since if (x,y) and (y,x) are both in R, then |x-y| = 2 and |y-x| = 2. Therefore, x = y, which means that (x,y) and (y,x) refer to the same pair of integers.

Transitive:

The relation R is transitive since if (x,y) and (y,z) are both in R, then |x-y| = 2 and |y-z| = 2. Therefore, |x-z| = |x-y+y-z| = |x-y|+|y-z| = 4. Thus, (x,z) is in R.

Partial Order:

The relation R is a partial order since it is reflexive, antisymmetric, and transitive.

Total Order:

The relation R is not a total order since there are some pairs of positive integers that are not related by R. For example, (1,3) and (3,5) are both in R, but (1,5) is not in R.

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False , the variance and standard deviation are not measures of central location

Given data ,

The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset

Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset

The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.

In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.

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Answer: 50$

Step-by-step explanation:

15:3=5$

25:5=5$

30:6=5$

60:12=5$

5$ x 10=5=50$

Answer:

b=−5

Step-by-step explanation:

Subtract the numbers

b=2−7                                                            

b= −5

Answer:

b = -5

Step-by-step explanation:

b = 2 - 7

b = -5