Jared sells square frames of various sizes made of wood. To find the area of a frame, Jared uses the formula A = s^2 - (s - 2w)^2, where s is the length of a side of the frame and w is the width of the frame.

Part B.) Find the area of a frame that measures 20 inches on each side and has a width of 3 inches

Part C.) Jared charges 18 cents per square inch for his frames. How much will he charge for a frame that measures 16 inches on each side and has a width of 2 inches?

The Scientific notation of numbers is,

⇒ 3.7 × 10⁻⁴

We have to give that,

A standard form of number is,

⇒ 0.00037

Since Scientific notation is a way of writing very large or very small numbers.

For example; 230,000,000 can be written in scientific notation as

2.3 x 10⁸.

Hence, the Scientific notation of numbers is,

⇒ 0.00037

⇒ 3.7 × 10⁻⁴

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The requried, at the beginning of May (the fifth month), the niece will have $162 in her account.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In the first month, the niece has $1 in her account.

In the second month, she triples that amount to have $3, and Mr. Howard doubles it to $6.

In the third month, she triples $3 to have $9, and Mr. Howard doubles it to $18.

In the fourth month, she triples $9 to have $27, and Mr. Howard doubles it to $54.

So at the beginning of May (the fifth month), the niece will have 54×3 = $162 in her account.

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Answer:

To find the quotient of 2 fractions, you have to change the division sign too a multiplication sign, and flip the second fraction, and multiply.

An example (the answer to the first question)

1/2 ÷ 1/4 = 1/2 * 4/1 = 2

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The pressure of 1036.0 mb converts to 30.59 inches of mercury (in. Hg) using the conversion factor that 1 inch of Hg is approximately 33.8639 mb.

A pressure of 1036.0 mb (millibars) when converted to inches of mercury (in. Hg) is equivalent to 30.59 inches. This conversion is relevant in fields like meteorology and aviation where pressure readings are essential. To convert millibars to inches of mercury, one must use the conversion factor that 1 inch of Hg is approximately equal to 33.8639 mb. Therefore, the calculation would look like this:

This means the correct answer is B. 30.59 in.

Answer:

83

Step-by-step explanation:

Answer:

Hayden

Step-by-step explanation:

Financial responsibility involves cutting your spending back to less than your income, paying your bills on time and trying to minimize credit usage.

Hallie has multiple loans at the same time; this is not financially responsible.

Hayden has more income than the amount of debt; this is financially responsible.

Alison made payments less than the minimum amount due; this is not financially responsible.

Joel made late payments several times; this is not financially responsible.

Hayden is financial responsible.

Financial responsibility involves cutting your spending back to less than your income, paying your bills on time and trying to minimize credit usage.

As, Hallie has multiple loans at the same time which is not financially responsible.

Hayden has more income than the amount of deb which is financially responsible.

Alison made payments less than the minimum amount due which is not financially responsible.

Joel made late payments several time which is not financially responsible.

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Answer: The point slope form of the equation for this line is given by

[tex]y-8=-(x+3)[/tex]

Step-by-step explanation:

Since we have given that

The slope intercept form of the equation of a line is given by

[tex]y=-x+6-------------------(1)[/tex]

Line passing through a point is given by

(-3,8)

So, from the equation (1), we get that

m = Slope of line = -1

So, Point slope form of the equation of the line is given by

[tex]y-y_0=m(x-x_0)\\\\(y-8)=-1(x+3)\\\\y-8=-(x+3)[/tex]

Hence, the point slope form of the equation for this line is given by

[tex]y-8=-(x+3)[/tex]

−6.4+3.7  is equivalent to 3.7−6.4

Decimal numbers are numbers in which there are commas or decimal points.

The value of each number in decimal numbers is based on a comparison of the number 10

In a decimal system, the numbers have the following consecutive values ​​(the place value of the digits in a number): hundred thousands, ten thousands, one thousands, hundreds, tens, ones, decimal points, tenths, hundredths, thousandths, ten thousandths , hundred thousandths

Between ones and tenth values ​​separated by commas (decimal points)

Decimal numbers can also be expressed as proper or mixed fractions

The position of each digit in decimal numbers is important.

Because the decimal number is based on the number 10, As we move left, each position is 10 times bigger, and As we move right, each position is 10 times smaller

On the left of the decimal point is a whole number

"Equivalent to" mean having the same value.

In the decimal addition operation, we must pay attention to the place value

Addition between decimal numbers must be the same place value, for example between hundreds with hundreds, ten with ten and so on

Or if we use a vertical addition system, one under the other, pay attention to the decimal point, must be straight from top to bottom

In this addition operation we check the results of the addition of each decimal number operation

3.7−6.4 = - 2.7

a. 6.4 + 3.7 = 10.1

b. 6.4 - 3.7 = 2.7

c. -6.4 + 3.7 = -2.7

d. - 6.4 - 3.7 = -10.1

Answer choices that have the same result is option C

Or simply this is the commutative form of addition operations

a + b = b + a (a = -6.4, b=3.7)

-6.4+3.7 = 3.7 +(-6.4)

-6.4+3.7 = 3.7 - 6.4

place value

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the place value: 12,354,897  

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Round 141,999 to the nearest tenth, hundredth, ten, and hundred.

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Keywords: decimal, decimal point, addition, equivalent to

The equivalent expression of [tex]3.7 - 6.4[/tex] is [tex]\boxed{ - 6.4 + 3.7}[/tex]. Option (c) is correct.

Further explanation:

Given:

The options are as follows,

A. [tex]- 17 + 2x[/tex]

B. [tex]- 2x + 17[/tex]

C. [tex]- 2x -17[/tex]

D. [tex]17 + 2x[/tex]

Explanation:

The associative property is defined as a grouping of multiplication, addition, subtraction and division.

[tex]\boxed{a + \left( {b + c} \right) = \left( {a + b} \right) + c}[/tex]

In commutative property we interchange the numbers or digits.

This property can be used for multiplication and addition. It cannot be used in division and subtraction.

Commutative property for addition is [tex]\boxed{x + y = y + x}[/tex]

The expression is [tex]3.7 - 6.4.[/tex]

[tex]A = 3.7 - 6.4[/tex]

By commutative property of addition the expression can also be expressed as follows,

[tex]\begin{aligned}A&= 3.7 - 6.4\\&= - 6.4 + 3.7\\\end{aligned}[/tex]

The equivalent expression of [tex]3.7 - 6.4[/tex] is [tex]\boxed{ - 6.4 + 3.7}[/tex]. Option (c) is correct.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: expression, equivalent, division, equation, multiplication, exponents, parenthesis.

Answer:

$1797914.419

Step-by-step explanation:

Given : Revenue in 2000 for a bakery chain totaled $10 billion from 5,562 shops nationwide

To Find:What was the average revenue in 2000 per shop?

Solution:

Revenue in 2000 for a bakery chain totaled $10 billion from 5,562 shops

So, the average revenue in 2000 per shop =[tex]\frac{10000000000}{5562}[/tex]

                                                                         =[tex]1797914.419[/tex]

Hence the average revenue in 2000 per shop was $1797914.419

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{12 \dfrac{2}{3} \times 3 \dfrac{1}{4}}[/tex]

[tex]\huge\textbf{Simplifying:}[/tex]

[tex]\mathsf{12 \dfrac{2}{3} \times 3 \dfrac{1}{4}}[/tex]

[tex]\mathsf{= \dfrac{12\times3 + 2}{3}\times\dfrac{3\times4+1}{4}}[/tex]

[tex]\mathsf{= \dfrac{36 + 2}{3}\times\dfrac{12 + 1}{4}}[/tex]

[tex]\mathsf{= \dfrac{38}{3}\times \dfrac{13}{4}}[/tex]

[tex]\mathsf{= \dfrac{38\times13}{3\times4}}[/tex]

[tex]\mathsf{= \dfrac{494}{12}}[/tex]

[tex]\mathsf{= \dfrac{494\div2}{12\div2}}[/tex]

[tex]\mathsf{= \dfrac{247}{6}}[/tex]

[tex]\mathsf{\approx 41 \dfrac{1}{6}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{41 \dfrac{1}{6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Convert \ 12\frac{2}{3} \ to \ an \ improper \ fraction. Use \ this \ rule: a \frac{b}{c}=\frac{ac+b}{c}. \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{12\times3+2}{3}\times3\frac{1}{4} \ \to \ \ Multiply \ 12\times 3 }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{36+2}{3}\times3\frac{1}{4} \ \to \ \ Add \ 36+2 }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times3\frac{1}{4} }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Convert \ 3\frac{1}{4} \ to \ an \ improper \ fraction. Use \ this \ rule: a \frac{b}{c}=\frac{ac+b}{c}. \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{3\times4+1}{4} \ \ \to \ \ Multiply \ 3\times 4}} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{12+1}{4} \ \ \to \ \ Add \ 12+1}} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{13}{4}}} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule:\frac{a}{b}\times\frac{c}{d}=\frac{ac}{bd}. \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38\times13}{3\times4} \ \ \to \ \ Multiply }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Simplify \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{492}{12}=\frac{247}{6}= }} \end{gathered}$}\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{41\frac{1}{6} }} \end{gathered}$}}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Therefore,the \ \bf{\underline{correct \ option}} \end{gathered}$}\large\displaystyle\text{$\begin{gathered}\sf is \ \bf{\underline{"D"}.} \end{gathered}$}[/tex]