Find the sum of the measures of exterior angles, one at each vertex, of an octagon.
180
360
1,080
1,440

If we have an angle equal to 175.5°, then its supplementary angle is equal to 4.5°.

To solve this problem we must know that an angle and its supplementary add up to 180º, that is, the following equality must be satisfied:

β + α = 180º

The measure of a supplementary angle is the difference between 180° and the given angle. In this case, the given angle is 175.5°. To find the measure of the supplementary angle, we will subtract 175.5° from 180°.
α = 180° - 175.5° = 4.5°

Therefore, the measure of the supplementary angle is 4.5°.

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Diego would have to put in 15 hours of labor to make the same amount of money as Mia does in just 6.

The unit method is a technique of challenge where you first measure the value of a specific unit, then multiply a certain value to get the answer. Simply expressed, a minimum unit value is extracted from with a specified multiple using the unit method. For contrast, 40 pens will cost you about 400 rupees, or $1.01. The method used to execute this might be standardized. a solitary nation. anything seems to have a distinctive component. (Mathematics, Algebra) Its capable of integrating and opposite are equivalent. (Molecular Algebra, Quantitative Analysis, Math and science of Matrix or Operators)

given

Diego need to work

105/7

=15$ per hour

150/15

=10$ per hour

Diego would have to put in 15 hours of labor to make the same amount of money as Mia does in just 6.

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Answer:

Both have 4 points, and sides.  

Squares have 4 even sides

Rectangles have 2 short sides and 2 long sides.

The number 31 is divisible by one and itself, which is the sign of prime number and hence 31 is a prime number.

As per the definition, a number to become prime number must follow two conditions. These are:

In other words, point 2 can be understood as it should not be divisible by any number. It remains the number to be divisible by one and itself.

We can see that 31 is the number which can be divided by any number to leave zero remainder. Hence, 31 is a prime number. Apart from this, 41, 97 and many other numbers are examples of prime number.

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Answer:

Angle 6 is 130 degrees

Vertical angles are 1 and 4, 2 and 3

Alt angles are 3 and 6, 4 and 5

Alt Exterior angles are 2 and 7, 8 and 1

Corresponding angles are 2 and 6, 1 and 5

Step-by-step explanation:

Answer:

$4.80

Step-by-step explanation:

The processing fee was 20% of the price after the discount, which would be 20% of $34 minus 30%, or 20% of $23.80. This is equal to $4.76, which rounded to the nearest cent is $4.80.

Hence, 10(5 + 3) is the equation that represents 50 + 30 written as the product of two elements.

It is able to multiply, divide, add, or deduct in mathematics. The follows is how an utterance is put together: Number, expression, and mathematical operator The components of a linear equation include numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast terms and phrases. An expression, usually known as an algebraic expression, is there any mathematical statement that contains variables, quantities, and an arithmetic function between them. For instance, the word m in the given equation is distinguished from the words 4m and 5 by the arithmetic symbol +, just like the variable m in the statement 4m + 5.

given

Check each choice.

(A) 5(10 + 7)

= 5(10) + 5(7) (7)

= 50 + 35

(B)5(10+ 3)

= 5(10) + 5(3) (3)

= 50 + 15

(C)10(5+ 2)

= 10(5) + 10(2) (2)

= 50 + 20

(D) 10(5 + 3)

= 10(5) + 10(3) (3)

= 50 + 30

Hence, 10(5 + 3) is the equation that represents 50 + 30 written as the product of two elements.

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Answer:

5 × 3.25 (3 1/4)=16.25 (16 1/4)

Step-by-step explanation:

If each batch requires 3 1/4 cups, and she bakes it repeatedly 5 times, then you multiply 3 1/4 by 5 to get 16 1/4.

The answer is 16 1/4 cups of flour she will use.

Answer:

To find out how much flour Kristen used in total, we can start by multiplying the amount of flour per batch by the number of batches.

First, we need to convert the mixed number 3 1/4 to an improper fraction, which is 13/4.

So, the amount of flour per batch is 13/4 cups.

To find out how much flour Kristen used in total for 5 batches of cookies, we can multiply the amount of flour per batch by the number of batches:

13/4 cups per batch x 5 batches = 65/4 cups

We can simplify this fraction by dividing both the numerator and denominator by 5, which gives us:

65/4 ÷ 5/1 = 13/4 ÷ 1/1 = 13/4 cups

Therefore, Kristen used 13 and 1/4 cups of flour in total for 5 batches of cookies.

Answer:

8

Step-by-step explanation:

To evaluate the expression for j = -2, we simply substitute -2 for j and simplify:

10l(-2)l - 12 = 10 * |-2| - 12 (Note that the absolute value of -2 is 2)

= 10 * 2 - 12

= 20 - 12

= 8

Therefore, the value of the expression 10lj| − 12 when j = -2 is 8.

Answer: 41.3386

Step-by-step explanation:

As a result, the probability that the next individual would buy more than one costume is 7/310, which can already be stated as a fraction in its most basic form.

A fraction is a way of representing a part of a whole or a ratio between two quantities. It is written as two numbers, one above the other, with a horizontal line separating them. The number above the line is called the numerator and the number below the line is called the denominator. For example, the fraction 3/4 represents three parts out of four equal parts, or the ratio of three to four. Fractions can be used to represent a wide range of values, including numbers between whole numbers (such as 1/2 or 3/5), ratios between quantities (such as 2/3 cups of flour to 1 cup of sugar), and percentages (such as 75/100, which is equivalent to 75%, or three-quarters). Fractions are an important concept in mathematics and are used in many different contexts, such as in cooking, measurement, and finance.

Here,

Out of the 93 visitors who did not purchase a costume, we do not have any information on how many of them might purchase more than one costume. So, we will ignore them for the purposes of this calculation.

Out of the 210 visitors who purchased exactly one costume, none of them purchased more than one costume.

Out of the 7 visitors who purchased more than one costume, we do not know how many costumes they actually purchased, but we do know that they purchased at least two.

So, out of a total of 93 + 210 + 7 = 310 visitors, we know that 7 purchased more than one costume, and we do not have any information on how many of the remaining 303 visitors might purchase more than one costume.

Therefore, the probability that the next person will purchase more than one costume is 7/310, which is already expressed as a fraction in simplest form.

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Answer: Malcolm can read 25 pages in 1 hour if he maintains the same reading speed.

Step-by-step explanation:

First, let's calculate how many pages Malcolm can read in 1 minute:

5 pages / 12 minutes = 0.4167 pages per minute (rounded to four decimal places)

To find out how many pages Malcolm can read in 1 hour, we need to multiply the number of pages he can read in 1 minute by the number of minutes in an hour:

0.4167 pages per minute * 60 minutes per hour = 25 pages per hour (rounded to the nearest whole number)

Therefore, Malcolm can read 25 pages in 1 hour if he maintains the same reading speed.

The correct answer will be V =8×6×3 & V= 48×3. The volume of a rectangular prism = Length x Width x Height.

Volume is the quantity of space a thing occupies, whereas capacity is a measure of the substance it can store, such as a solid, a liquid, or a gas. Although capacity can be measured in virtually any other unit, such as litres, gallons, pounds, etc., volume is determined in cubic units.

Capacity. The total volume of space an object occupies in three dimensions is indicated by its volume. The term "capacity" describes something's ability to contain, absorb, or absorb by an object (such as a solid substance, gas, or liquid).

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The volumes of the given cube and rectangular prisms in cubic centimeters are:

1) Cube with a side length of 2/5 cm: 8/125 cm^3

2) Rectangular prism with a length, width, and height of 3/5 cm, 4/5 cm, and 3/5 cm respectively: 36/125 cm^3

3) Rectangular prism with a length, width, and height of 1/5 cm, 2/5 cm, and 3.5 cm respectively: 6/125 cm^3

4) Cube with a side length of 1/5 cm: 1/125 cm^3

To find the volume of a cube or rectangular prism, you need to use the formula:

Volume = length x width x height

The length, width, and height represent the three dimensions of the object, which are measured in units such as centimeters, meters, or inches. To find the volume in cubic centimeters, you would use centimeters as your unit of measurement.

For example, let's say we have a cube with a side length of 2/5 cm. To find the volume, we would use the formula:

Volume = length x width x height

Volume = 2/5 cm x 2/5 cm x 2/5 cm

Volume = 8/125 cm^3

So the volume of this cube is 8/125 cubic centimeters.

Similarly, for the other pairs:

Rectangular prism with a length, width, and height of 3/5 cm, 4/5 cm, and 3/5 cm respectively:

Volume = length x width x height

Volume = 3/5 cm x 4/5 cm x 3/5 cm

Volume = 36/125 cm^3

Rectangular prism with a length, width, and height of 1/5 cm, 2/5 cm, and 3.5 cm respectively:

Volume = length x width x height

Volume = 1/5 cm x 2/5 cm x 3.5 cm

Volume = 6/125 cm^3

Cube with a side length of 1/5 cm:

Volume = length x width x height

Volume = 1/5 cm x 1/5 cm x 1/5 cm

Volume = 1/125 cm^3

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The given question is incomplete, the complete question is :

D rag the tiles to the correct boxes to complete the pairs. Find the volume of the cubes or rectangular prisms in cubic centimeter's answers: 6/125 cm^3, 36/125 cm^3, 8/125 cm^3, 1/125 cm^3.the pairing questions are :cube with a side length of 2/5 cm,,,, rectangular prism with a length width and height of 3/5 cm 4/5 cm and 3/5 cm respectively.,,, rectangular prism with a length width and height of 1/5 cm, 2/5 cm, and 3,5 cm respectively and cube with a side length of 1/5cm.

Answer:

R4700×5% = 235

total: R4700+235 = 4935

invest:R235 per month or year

Step-by-step explanation:

interest simple is increase your amount to addition increase from rate 5%

I use format a calculate that answer

The homogeneity of variance assumption in the independent measures t-test assumes that option (c) the variances of the two populations from which the samples are drawn are equal.

In mathematical terms, the t-test assumes that the two populations from which the samples are drawn have equal variances. The homogeneity of variance assumption is important because it affects the calculation of the t-statistic.

When the variances of the two populations are equal, the t-test uses a pooled estimate of the variance to calculate the standard error of the difference between the two sample means.

If the homogeneity of variance assumption is violated, meaning the variances of the two populations are not equal, the t-test may produce inaccurate results.

In this case, an alternative test such as Welch's t-test may be used. Welch's t-test does not assume equal variances and is therefore more robust when the homogeneity of variance assumption is violated.

Therefore, the right choice is option (c).

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We know that Angle-side-angle is one of the criterias to find congruent triangles, then with the given information we can make only one unique triangle.

Here we know two of the angles of a triangles and the length of the side between these two angles.

This can be written as an: Angle-Side-Angle.

Remember that this is one of the conditions for congruent triangles.

This means that A-S-A defines completely a single triangle, thus, there is only one triangle that we can make with that information.

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The mural has a height equal to 10 feet.

In this problem we find the case of a square mural, whose area is already known. The following conditions associated with the statement of the problem are described below:

A = 100 ft²

A = l²

Where:

Then, the height of the mural is equal to:

100 ft² = l²

l = 10 ft

The height of the mural is 10 feet.

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To summarize, the transformations from f(x) to g(x) and h(x) can be described as follows:

g(x) = f(x) - 1: a vertical shift downward by 1 unit

h(x) = f(x - 4): a horizontal shift to the right by 4 units

What did we do?

Starting with the function f(x) = -2x + 6, let's consider the transformations to the functions g(x) = f(x) - 1 and h(x) = f(x - 4).

For g(x) = f(x) - 1, we can see that the function is shifted downward by 1 unit from f(x). This means that every y-value of f(x) will be decreased by 1 to obtain the corresponding y-value of g(x). Therefore, the graph of g(x) will be the same as the graph of f(x), but shifted down by 1 unit.

For h(x) = f(x - 4), we can see that the function is shifted to the right by 4 units from f(x). This means that the input to f(x) will be increased by 4 to obtain the corresponding input to h(x). Therefore, the graph of h(x) will be the same as the graph of f(x), but shifted to the right by 4 units.

To summarize, the transformations from f(x) to g(x) and h(x) can be described as follows:

g(x) = f(x) - 1: a vertical shift downward by 1 unit

h(x) = f(x - 4): a horizontal shift to the right by 4 units

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The lateral surface area of the pyramid is 108 square feet.

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.

Given:
The shape is a square pyramid.

To find the lateral surface area of the square pyramid:
Use the formula,

the lateral surface area of the pyramid = 1/2 x (perimeter of the base x slant height)

Here, we have,

Slant height = 9 feet.

The side of the square = 6 feet.

So, the lateral surface area of the pyramid = 1/2 x (4 x 6 x 9)

= 108 square feet.

Therefore, the area is 108 square feet.

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The expression that refers the operation "0.04 divided by n" is written as 0.04/n

An expression is a mathematical statement that contains operators, variables, and constants.

In this case, we want to write an expression that will represent the division of 0.04 by n.

The expression for this would be 0.04/n, where n is the number being divided by 0.04.

This expression shows that when 0.04 is divided by n, the result is 0.04 divided by n.

The expression can be used to calculate the result of any division problem involving 0.04 and n

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[tex]{\qquad \qquad \huge \rm \underline { \underline{ Répondre}}}[/tex]

Standard equation of an ellipse is :

[tex]\qquad \rm\dashrightarrow \: \dfrac{ {(x - h)}^{2} }{ {a}^{2} } + \dfrac{ {(y - k)}^{2} }{ {b}^{2} } = 1[/tex]

If b is smaller than a, then it will be a horizontal ellipse, and if b is greater than a, it will be a vertical ellipse. and shifting depends upon coordinates of its centre.

Now, our given equation is :

[tex]\qquad \rm\dashrightarrow \: \dfrac{ {x}^{2} }{ 15 } + \dfrac{ {y }^{2} }{ {10} } = 1[/tex]

[tex]\qquad \rm\dashrightarrow \: \dfrac{ {x}^{2} }{ {(\sqrt{15})}^{2} } + \dfrac{ {y}^{2} }{ {(\sqrt{10}) {}^{2} } } = 1[/tex]

[ here, b = root 10 and a = root 15, hence a is greater than b here, which means : its a horizontal ellipse.

And since it is a horizontal ellipse with center at origin, it's major axis will lie on x - axis.

The range of the following graph is [-2, 3]

In mathematics, the range of a function is the set of all possible output values (also called the codomain) that the function can produce for its input values. The range is a subset of the codomain, and it describes the vertical extent of the function's graph. The range can be finite or infinite, and it can contain repeating values or be a continuous interval.

The values of y coordinate depicts the values of range

So, the range of the following graph is [-2, 3]

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The cook still needs 24 kilograms of beans to complete the recipe. The cook has a total of 2 bags of beans, each containing 7 kilograms of beans.

Therefore, the total weight of the beans he has is 2 * 7 = 14 kilograms.

To find out how many more kilograms of beans he needs, we can subtract the weight of the beans he has from the total amount he needs. Therefore:

Amount of beans the cook needs - Amount of beans the cook has = Amount of beans he still needs

Substituting the values we get:

38 - 14 = 24

Therefore, the cook still needs 24 kilograms of beans to complete the recipe.

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The value of ∫[1/(x² - 25)^3/2]dx when x = 5 secθ using integral by substitution, the answer is (1/2)[(x/5)^2 - 1]^-1/2 + C

To solve this problem, we simply need to use integration by substitution.

∫[1/(x² - 25)^3/2]dx when x = 5 secθ

We can start by making the substitution x = 5 secθ, which implies that dx/dθ = 5 secθ tanθ.

Substituting these expressions into the integral, we get:

∫[1/(x² - 25)^3/2]dx = ∫[1/(25sec²θ - 25)^3/2] (5 secθ tanθ)dθ

Simplifying the denominator inside the integral:

25sec²θ - 25 = 25(sec²θ - 1) = 25tan²θ

Substituting this back into the integral:

∫[1/(25tan²θ)^3/2] (5 secθ tanθ)dθ = ∫(5/125)tanθ/cos³θ dθ = ∫tanθ/cos³θ dθ

We can simplify this using the substitution u = cosθ, which implies that du/dθ = -sinθ and, therefore, -du = sinθdθ.

Substituting these expressions back into the integral, we get:

∫tanθ/cos³θ dθ = -∫(1/u³) du = u^-2/2 + C

Substituting back u = cosθ, we get:

u^-2/2 + C = cos^-2θ/2 + C

Therefore, the final answer in terms of x is:

cos^-2θ/2 + C = (1/2)[(x/5)^2 - 1]^-1/2 + C

Since the solution is not in the option, the answer is none of these

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Changing the order of the variables when computing the correlation coefficient has no effect on the value of "r" as it measures the strength and direction of the linear relationship between two variables.

The correlation coefficient denoted as "r", measures the energy and path of the linear dating between two variables. It ranges from -1 to one, in which -1 shows a perfect negative correlation, 0 indicates no correlation, and 1 shows an ideal advantageous correlation.

Whilst computing the correlation coefficient, the order of the variables does not have an effect on the cost of "r". This means that whether we calculate the correlation between variable x and variable y, or variable y and variable x, the resulting correlation coefficient will be equal.

That is due to the fact the correlation coefficient measures the degree of linear association between two variables, no matter which variable is taken into consideration because of the explanatory variable and which one is taken into consideration because of the response variable.

Therefore, the correlation between x and y could be similar to the correlation between y and x. But, it's important to observe that the translation of the correlation coefficient may additionally range depending on the research query and the context wherein it's far used.

The course of the connection among variables may also have one-of-a-kind implications relying on the specific state of affairs being analyzed.

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Answer:

See explanation below

Answer is 1/8

Step-by-step explanation:

The expression is:

[tex]\left(\dfrac{1}{512}\right)^{\dfrac{1}{3}}[/tex]

A number x raised to the power [tex]\dfrac{1}{3}[/tex] means it is the cube root of that number or [tex]\mbox{\large \sqrt[3]{x} }[/tex]

Also [tex]\left(\dfrac{1}{x}\right)^a = \dfrac{(1)^a}{x^a}[/tex]

Combining these two facts we get
[tex]\left(\dfrac{1}{512}\right)^{\frac{1}{3}} = \dfrac{1^{\frac{1}{3}}}{512^\frac{1}{3}}= \dfrac{\sqrt[3]{1} }{\sqrt[3]{512} } = \dfrac{1}{\sqrt[3]{512} }[/tex]

[tex]\sqrt[3]{512} = 8[/tex]

So
[tex]\left(\dfrac{1}{512}\right)^{\dfrac{1}{3}} = \dfrac{1}{8}[/tex]

Greg and Jason are the people  who are legally required to file a tax return.

An amount of money that a government requires people to pay according to their income

Amanda, who can be claimed as a dependent and earned $850 last year, is not required to file a tax return.

The minimum income requirement for filing taxes for dependents is $1,100 for 2022.

Greg, who can be claimed as a dependent and earned $12,650 last year, is required to file a tax return if his earned income (such as wages or salary) exceeds $12,400 in 2022.

However, if his earned income is less than $12,400 but he had any taxes withheld, he may want to file a tax return in order to claim a refund.

Jason, who cannot be claimed as a dependent and earned $1,500 last year, is required to file a tax return if his gross income exceeds $12,950 in 2022.

Lester, who cannot be claimed as a dependent and earned $1,000 last year, is not required to file a tax return.

The minimum income requirement for filing taxes for single taxpayers under age 65 is $12,950 for 2022.

Hence, Greg and Jason are the people  who are legally required to file a tax return.

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