The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.

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Formula :

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Volume = Length x Width x Height

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Find volume :

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\(Volume=6 \frac{2}{3} *2*2\)  

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Change to improper fractions :

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\(Volume=\frac{18}{3}*\frac{2}{1} *\frac{2}{1}\)

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Combine into single fraction :

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\(Volume=\frac{24}{1}\)

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Simplify:

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\(Volume=24\)

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Answer: Volume = 24 cm³ (Answer B)

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The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).

Let's simplify the given expression step by step using the given terms:
Expression:

\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)

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The absolute value of the elasticity coefficient for Toasty Hands' gloves is 394,265.23.

The elasticity coefficient is calculated as follows:

Elasticity coefficient = (Change in demand)/(Change in price) * (Original price)/(Original demand)

In this case, the change in demand is 540,000 - 440,000 = 100,000 pairs. The change in price is 239 - 279 = -40. The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get:

Elasticity coefficient = (100,000)/(-40) * (279)/(440,000) = -394,265.23

The absolute value of the elasticity coefficient is 394,265.23. This means that the demand for Toasty Hands' gloves is elastic, meaning that a small change in price will lead to a large change in demand.

Here is a more detailed explanation of the calculation:

The change in demand is calculated by subtracting the original demand from the new demand. In this case, the new demand is 540,000 pairs, and the original demand is 440,000 pairs. So the change in demand is 540,000 - 440,000 = 100,000 pairs.

The change in price is calculated by subtracting the original price from the new price. In this case, the new price is $239, and the original price is $279. So the change in price is 239 - 279 = -40.

The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get the elasticity coefficient of -394,265.23.

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\((x+3)^{-1/2}\)2√(x+3) = -1, from the derivation we can conclude that 2√(x+3) will always be greater than zero and can never be equal to -1.

The power rule is a rule of differentiation in calculus that allows us to find the derivative of a function of the form f(x) = xⁿ, where n is a constant. The power rule states that:

d/dx (xⁿ) = n*xⁿ⁻¹

In words, this means that the derivative of x to the power of n is equal to n times x to the power of n minus 1.

f(x) = 2√(x+3) + 1

f'(x) = 2 * 1/2 * \((x+3)^{-1/2}\) * 1 + 0

= \((x+3)^{-1/2}\\\)

If you would like to find the zeros of the function, you can set the function equal to zero and solve for x:

2√(x+3) + 1 = 0

2√(x+3) = -1

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\((x+3)^{(-1/2)}\)  \(\sqrt[2]{(x+3)} =-1\), We can infer from the derivation that 2(x+3) will never equal -1 and will always be larger than zero.

A calculus differentiation method known as the power rule enables us to determine the derivative of a function with the formula f(x) = xn, where

n is a constant. As per the power law,

\(\frac{d}{dx}\ (x^{n} )=n*x^{n-1}\)

The derivative of x to the power of n is defined as n times x to the power of n minus 1.

f(x) = 2√(x+3) + 1

\(f'(x)=2*\frac{1}{2} *(x+3)^{(\frac{-1}{2} )} *1+0\\\\(x+3)^{(-1/2)}\)

You can put the function equal to zero and solve for x to determine the function's zeros:

2√(x+3) + 1 = 0

2√(x+3) = -1

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The complete question is,

What is the domain and range of \(F(x)=\sqrt[2]{(x+3)} +1\).

Answer:

b

Step-by-step explanation:

b

The constant of proportionality in the equation {y = x/9} is equivalent to (1/9).

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is the linear equation as follows -

y = x/9

This is the equation of a straight line, which is -

y = mx + c

{m} is slope and is also called the constant of proportionality.

We can write -

y = (1/9)x + 0

So, the constant of proportionality is equivalent to (1/9).

Therefore, the constant of proportionality in the equation {y = x/9} is equivalent to (1/9).

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Answer

\(168in^{2}\)

Step-by-step explanation:

SA=2(wl+hl+hw)

2·(6·2+9·2+9·6)

=168

The number of kilometres that are equivalent to 28.5 cm² is 2.85 × 10⁹ km². Hence, after careful consideration concerning every option, the required answer for the given question is Option A.

Here, we have to depend on the principles of conversation of units and using this principles derive a formula.

To convert 28.5 cm² to km², we have to implement the formula

Total number of square centimeters x 1.0 x \(E^{-10}\) = Total number of square kilometers .

The number of kilometres that are equivalent to 28.5 cm² is 2.85 × 10⁹ km². Hence, after careful consideration concerning every option, the required answer for the given question is Option A.

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The most important thing to notice about a table of q-sort correlates is d. general patterns that emerge.

Q-sorting is a method of ranking items in order of preference or importance, and Q-sort correlates are used to identify relationships between the ranked items. The correlations in the table represent how strongly the items are associated with each other based on their rankings.

While the exact value of the correlations is important for statistical analysis, the most valuable information in a table of q-sort correlates is the general patterns that emerge. These patterns can help to identify groups of items that are closely related to each other, as well as those that are more distantly related.

Understanding the wording of specific items may also be important, as it can impact how the items are ranked and how they relate to each other. However, the primary focus of a table of q-sort correlates is on the relationships between the items, rather than the items themselves.

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Answer:

f(5)=70

Step-by-step explanation:

what f(5) means is put 5 in for x

so, 3(5)^2-5

3(5*5)-5

3(25)-5

75-5

70

Answer:

xz=255

Step-by-step explanation:

17 is prime so yz has to be 1*17

if that's the case xy=15*1

so 15*17=255

Answer:

Step-by-step explanation:

Simplify:

31−(5−3⋅4)*2+26÷4=

31-(5-12)*2+6.5=

31-(-7)*2+6.5=

31+14+6.5=

51.5

Using algebra, we conclude that the dollar amount of meals Jerome served this weekend is $1150.

Given: The total amount Jerome earned this weekend is $252.50.

           He earned every weekend = $80.

            He earned 15% of the cost of meals as tips by serving them.

To find: The cost of meals served by Jerome in this weekend.

The total amount, $252.50,  is the sum of the tips amount Jerome earned from serving meals and sum of the amount Jerome earned every weekend. To solve this, we must first translate the conditions of the problem, into an algebraic expression with a variable referring to the unknown quantity. This expression is then converted to an equation to find the value of the unknown quantity.

Let x be the cost of meals that Jerome served this weekend.

The equation for the problem statement becomes

\(\$80 + \frac{15}{100} x = \$252.50\\\\\)

Keeping only the x term on the left side of the equation and constant terms on the right side we get

\(\frac{15}{100} x = \$252.50 - \$80\\\\\frac{15}{100} x = \$172.50\\\\\\\)

Multiply both the sides of the equation by 100

\(\frac{15}{100} x \times 100 = \$172.50 \times 100\\\\15x = \$17250\)

Divide both sides of the equation by 15

\(\frac{15x}{15} = \frac{\$17250}{15}\\\\x = \$1150\)

Algebra is a field of mathematics in which letters are substituted for numbers, and an algebraic equation depicts a scale in which what is done on one side of the scale is likewise done on the other side of the scale, with the numbers acting as constants.

An equation is a mathematical statement that two expressions are equal. If it is an algebraic equation, two algebraic expressions has to have the same value  on either side of the equal sign.

A meaningful collection of numbers, variables, and signs (positive or negative) of operations that must make mathematical and logical sense is referred to as an algebraic expression.

Expressions contain any number of algebraic terms. They use signs of operation like addition, subtraction, multiplication, and division and also do not contain an equality sign (=).

Using algebra, we conclude that the dollar amount of meals Jerome served this weekend is $1150.

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Answer:

The miles per day are: 3 1/12.

Step-by-step explanation:

With  the information provided, in order to find the miles per day you have to divide the number of miles he walked by 3 that is the number of days:

9 1/4÷3

In order to solve this, first you have to convert the mixed number to an improper fraction by multiplying the denominator for the whole number, add the numerator and this would be divided by the denominator:

(4*9)+1/4

36+1/4

37/4

Now, you divide this by 3:

37/4÷3

37/(4*3)

37/12

You can conver this fraction into a mixed number by dividing 37 by 12. 12 goes into 37 three times which would be the whole number. Then, three times 12 is 36 and the remainder is 1. So, 1 would be the numerator and the denominator stays th same which is 12. The mixed number is: 3 1/12.

According to this, the answer is that the miles per day are: 3 1/12.

This is the answer to your problem

Answer:

The answer is f(x) = -sin(x) as you can see in the graph below

Step-by-step explanation:

Answer: A. (Use a comma to separate answers as needed.). Given Event E: {11, 12, 13, 14, 15, 16}; Event F: {15, 16, 17, 18}. The outcomes in event E are 11, 12, 13, 14, 15, and 16. The outcomes in event F are 15, 16, 17, and 18.

To determine if events E and F are mutually exclusive, we need to check if they have any common outcomes. In this case, event E and event F have common outcomes, which are 15 and 16. Therefore, events E and F are not mutually exclusive.

Therefore, Answer: A. (Use a comma to separate answers as needed.)

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Answer:

(0,0) and (2,8)

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

x = 4 is where the parabola can be cut in half and reflected

Answer:

Commutative property of addition is the correct option.

Answer:

the answer commutative my friend

Answer:

x = 22, The length of BC is 22

Step-by-step explanation:

It is shown that angle ACB and angle ABC are congruent (The measure of angles are the same) in the picture. Since the angles are congruent, we can say that AC = AB because of base angle theorem converse. We can then substitute the given numbers in for AC and AB. We would then get 2x - 24 = x - 2. If you solve, you would get that x = 22 (The length of BC is 22).

Answer:

The +1 in f(x) is the y intercept

The +1 in g(x) is the y coordinate of the vertex

Step-by-step explanation:

For f(x), plugging in x = 0 leads to

f(x) = 2x^2+5x+1

f(0) = 2(0)^2+5(0)+1

f(0) = 1

Showing that (0,1) is the y intercept of f(x).

The same is not true for g(x)

g(x) = 2(x+5)^2+1

g(0) = 2(0+5)^2+1

g(0) = 51

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The +1 for g(x) represents the y coordinate of the vertex. Recall that vertex form in general is

y = a(x-h)^2+k

with (h,k) being the vertex. This means we can quickly spot the vertex for g(x) without having to graph. The same cannot be said for f(x) as we need to complete the square to get f(x) into vertex form. Currently, f(x) is in standard form.

The t-shirts she sell is 24.

What is profit and selling price?

Profit is considered as the gain amount from any business activity. Whenever a shopkeeper sells a product, his motive is to gain some benefit from the buyer in the name of profit.

The selling price is the price that the buyer pays to buy a product or goods. This is a price above cost and includes a profit ratio.

According to Question, Christine sold the t- shirts at $4 each and she earned a profit of $71 and his total expenses were $25

Let the total number of t- shirts sold by Christine be "x"

Profit = Selling price – Expenses

Selling price is given as:

selling price = total number to t-shirt sold ×price of each t shirt

selling price = n ×4

71 = (n×4) -24

71 + 25  = n×4

96/4 = n

n = 24

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Convert USD to THB, multiply amount of USD by the current exchange rate between USD and THB, which can be found on financial news or currency exchange websites, to get the equivalent amount in THB.

To convert US dollars (USD) to Thai baht (THB), you need to use the current exchange rate between the two currencies. Here are the steps to convert USD to THB:

Find the current exchange rate between USD and THB. This information can be found on financial news websites, currency exchange websites, or by contacting a bank or currency exchange service.

Multiply the amount of US dollars you want to convert by the current exchange rate to get the equivalent amount in Thai baht. For example, if the current exchange rate is 1 USD = 31.50 THB and you want to convert 100 USD to THB, the calculation would be:

100 USD x 31.50 THB/USD = 3,150 THB

Therefore, 100 USD is equal to 3,150 THB.

Note: The exchange rate between USD and THB can fluctuate over time, so make sure to use the current exchange rate for the most accurate conversion.

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Cases are on display OA 619,200 cubic inches.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.
To calculate the number of cubic inches needed for 360 cases of 12-ounce cans of soft drink, we need to multiply the number of cases (360) by the volume of each case. The volume of each case can be calculated by multiplying its length (16 inches), width (10.75 inches) and height (5 inches):

Volume = 16.00 inches x 10.75 inches x 5.00 inches = 828 cubic inches

Therefore, 360 cases of 12-ounce cans of soft drink require (360 x 828) = 619,200 cubic inches.

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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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