Classify each number as a Natural number, Whole Number, Integer, Rational Number, or Irrational. (Write all that apply)

a)-40 b)5 c) -14/11 d)√34     e) -√16

Answer with Step-by-step explanation:

Prices for Soup

Price A                Price B                 Price C

$3.87 for 3        $2.38 for 2            $8.75 for 7

Price A=$3.87/3 for 1

           =$ 1.29   for 1

Price B=$2.38/2 for 1

           =$ 1.19   for 1

Price C=$8.75/7 for 1

           =$ 1.25   for 1

Prices in order, from greatest to least unit rate is:

Price A=$ 1.29

Price C=$ 1.25

Price B=$ 1.19

The correct step in constructing a circle circumscribed about a triangle is: Use the perpendicular bisectors to find the center of the circle.

The correct answer is an option (c)

"A triangle is a circumscribed triangle when a circle passes through all three vertices of the triangle."

"A line that intersects another line segment perpendicularly and divides it into two parts of equal measurement."

For given question,

Steps to construct a circle circumscribed about a triangle:

- Construct the perpendicular bisector of one side of triangle.

- Construct the perpendicular bisector of another side of the triangle.

- The point at which they intersect inside the triangle would be the center of the circumscribed circle

- Place compass on the center point, adjust its length to reach any corner of the triangle, and draw the circle.

Therefore, the correct step in constructing a circle circumscribed about a triangle is: Use the perpendicular bisectors to find the center of the circle.

The correct answer is an option (c)

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Answer:

The length is 33 and the Width is 27.

Step-by-step explanation:

So I made it easier by only looking at half of the rectangle. 120 divided by 2 is 60. So out of the length and width, it had to add to equal 60. I plugged in a few numbers and determined 27 and 33. SO, if you add those together it equals 60 while 33 is 6 more meters than 27 and two 27 and two 33 equals 120 for the whole rectangle

The correct answer is that tables can help to identify patterns in complex data sets, particularly when multiple variables are involved. They provide a linear organization that simplifies finding specific data points and can facilitate the calculation of conditional probabilities in regard to dependent variables.

Selecting the correct advantage of using tables among the given options, the correct response would be option B: Tables can help to see patterns in data. Tables are indeed important tools when dealing with data and statistical information. They organize data in a linear way, making it easier to locate specific points. They're capable of breaking down complex data points that might be hard to convey through written explanation or through other graphical data representation formats.

Furthermore, tables are particularly useful when displaying data associated with multiple variables - for example in Contingency Tables or Two-way tables. These tables simplify the process of calculating probabilities, especially when the variables involved are dependent on each other. These tables can facilitate calculating conditional probabilities easily by decisively organizing the data.

While tables are advantageous in their own right, it's not accurate to say, as in option A, that they automatically make the most difficult problems much easier, nor, as in option C, that all problems require tables to solve them. Instead, they represent a powerful, but specific tool among many others available for data analysis.

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Midpoint of diagonals: [tex]\( (3.5, 2.5) \)[/tex]. Using midpoint formula, [tex]\( C(5, 0) \) and \( D(-1, -3) \)[/tex].

Since [tex]\(ABCD\)[/tex] is a parallelogram, its diagonals bisect each other. So, the midpoint of the diagonals gives the center of the parallelogram, which is the midpoint of [tex]\(AC\) and \(BD\)[/tex].

Given that the midpoint of the diagonals is [tex]\((3.5, 2.5)\)[/tex], we can find the midpoint of [tex]\(AC\) and \(BD\)[/tex].

The midpoint formula is given by [tex]\(\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)\).[/tex]

For the midpoint of [tex]\(AC\)[/tex]:

[tex]\[\left(\frac{2+x_C}{2}, \frac{5+y_C}{2}\right) = (3.5, 2.5)\][/tex]

From this, we get:

[tex]\[2+x_C = 7 \quad \text{and} \quad 5+y_C = 5\][/tex]

which gives [tex]\(x_C = 5\) and \(y_C = 0\)[/tex].

For the midpoint of \(BD\):

[tex]\[\left(\frac{8+x_D}{2}, \frac{8+y_D}{2}\right) = (3.5, 2.5)\][/tex]

This yields:

[tex]\[8+x_D = 7 \quad \text{and} \quad 8+y_D = 5\][/tex]

which results in [tex]\(x_D = -1\) and \(y_D = -3\)[/tex].

So, the coordinates of [tex]\(C\) are \((5, 0)\)[/tex] and the coordinates of [tex]\(D\) are \((-1, -3)\)[/tex].

The perimeter of the woods behind Adam’s house, which is shaped as a rectangle, is calculated by the formula 2(length + width), substituting the given values we get 38 m.

The subject of this question involves calculating the perimeter of a rectangle, in this case, the size of the woods. Perimeter is calculated by adding all the sides of a figure, and for a rectangle, you can calculate it using the formula: 2(length + width).

Given that the length of the woods is 15 m and the width is 4 m, we can substitute these values into the formula like this: 2(15m + 4m) = 2(19m) which gives us a total perimeter of 38 m.

To visualize this, if an average male is about two meters tall, around 19 men laid end to end would cover the total perimeter of the woods.

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Answer:

b

Step-by-step explanation:

40*5 is 200 which would meet her goals

and 100 is the maximum number of cakes she has, she would make $500 dollars and it's the maximum since she can't sell cakes she doesn't have.

The domain of the compound function (f/g)(x) is all real numbers except x = 5, where the function g(x) would cause a division by zero.

To find the domain of the compound function (f/g)(x), we need to consider the domains of both f(x) and g(x), as well as where g(x) is not equal to zero, since we cannot divide by zero.

The function f(x) = x^2 - 25 is a quadratic function and its domain is all real numbers because a quadratic function is defined for every real number.

The function g(x) = x - 5 is a linear function, and its domain is also all real numbers. However, for the quotient (f/g)(x), we must exclude the value where g(x) = 0. Solving g(x) = 0 gives us the value x = 5.

Therefore, the domain of (f/g)(x) is all real numbers except x = 5, since at x = 5, the denominator g(x) would be zero, making the division undefined.

Final answer:

A font is a complete set of characters with the same typeface or design, crucial for typographic identity in various industries. Typefaces can be serif, conveying classical vibes, or sans serif, appearing modern. Digital advancements have made typefaces more accessible and diverse for designers.

Explanation:

Understanding Typeface in Typography

A font is a complete set of characters that uses the same typeface or design. This uniformity is a vital aspect of typographic identity and conveys different meanings and vibes, which can be crucial to a corporate image, for instance. The selection of an appropriate typeface is influenced by its use case; businesses might choose a typeface that reflects their industry and brand values. The character of a font can be greatly affected by factors such as whether it is serif or sans serif. A serif typeface, which includes small decorative lines at the end of the strokes that form the letters, like Times New Roman or Garamond, often conveys a classical or refined feeling. In contrast, sans serif typefaces, like Helvetica, lack these lines and therefore appear more modern.

The evolution from physical typesetting to digital design has vastly increased the availability and variety of typefaces, making them accessible and affordable, some even for free. In addition, digital typefaces can be created and distributed worldwide with minimal cost. This evolution has led to a proliferation of typefaces for designers to choose from in creating distinct and visually engaging texts.

Answer:

48° or 138°

Step-by-step explanation:

[tex]\displaystyle Complementary\:Anlges\:[Sum\:up\:to\:90°] \\ Supplementary\:Angles\:[Sum\:up\:to\:180°][/tex]

[tex]\displaystyle 90° = 42° + m∠4 \: \: \: \: \: 180°= 42° + m∠4[/tex]

[tex]\displaystyle 48° = m∠4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 138° = m∠4[/tex]

I am joyous to assist you anytime.

the equation would be:

C = 75+100w

Answer: Our required function would be

[tex]C=75+100w[/tex]

Step-by-step explanation:

Since we have given that

Charges of daycare = $175

Enrollment fee = $100 per week

Let C be the cost of daycare after a certain number of weeks.

Let w be the number of weeks.

So, function would be

[tex]C=75+100w[/tex]

Hence, our required function would be

[tex]C=75+100w[/tex]

Answer:

Step-by-step explanation:

Truman took approximately 51 minutes to get to work.

To calculate the total time it took Truman to travel to work, we need to consider the time he waited for the bus and the time it took to travel the distance.

Answer:

3.200×107   ​h

Step-by-step explanation:

The Prove of m∠KJL = m∠KML is shown below.

An "arc" is a smooth curve that connects two points in mathematics. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference. An arc is a type of curve.

We have,

KJL and ∠KML intercept arc KL.

Now, Angle made by arc at center is double the angle made on any point on the circle other than arc.

So, m <KJL = 1/2 < ( KL)

m <KML = 1/2 (KL)

By comparing the above statement

m <KML = m <KJL

Hence proved.

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it is C hope this helps