Mathematics High School

## Answers

**Answer 1**

a) On December 13, 2007, when one U.S. dollar was worth 10.83 Mexican pesos, using the dollar to pesos **exchange rate**, 149.23 pesos will be worth $13.78.

b) On December 13, 2007, when one U.S. dollar was worth 10.83 Mexican pesos, using the dollar to pesos **exchange rate**, 143.28 dollars will be worth 1,551.72 Mexican pesos.

What is the exchange rate?

The **exchange rate** refers to the **unit rate** at which one currency is exchanged for another country's currency.

The **exchange rate** provides the quantitative basis for the comparison of one currency currency against another.

The **exchange rate** between the U.S. dollar and Mexican pesos on December 13, 2007 = $1 = 10.83 Mexican pesos

a) With 149.23 pesos, the dollars = $13.78 (149.23/10.83)

b) With $143.28, the Mexican pesos = 1,551.72 MXN ($143.28 x 10.83)

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## Related Questions

At the nearest wholesale store, 3 bags of cereal cost $21.75. Which equation represents the proportional relationship?

### Answers

In **linear equation **, the given data states that 5 bags will cost $36.25.

**What in mathematics is a linear equation?**

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a **linear equation. **

Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are** the variables.**

By using proportionality method to solve the given statement. Put the price over the number of bags

21.75 x

3 bags 5 bags

Using cross products defined in standard mathematics,

21.75 * 5 = 3x

108.75 = 3x

Divide each side by 3

108.75/3 = 3x/3

36.25 =x

5 bags will cost 36.25

Hence, the cost of the 5 bags using proportionality method is: $36.25.

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help :))))

yall amazing

### Answers

**Answer:**

26 2/3%

**Step-by-step explanation:**

[tex]\frac{4}{15}[/tex] x 100%= 26 2/3 %

**11x=15**

**x=1.36363636364**

**36%**

What is the antiderivative of 1 Secx?

### Answers

The **antiderivative **of 1/sec(x) is **sinx+ C**, where C is an arbitrary constant of integration.

The **antiderivative**, also known as **indefinite integral**, of a function is the reverse process of differentiation, it gives the most **general solution **for the original function.

In this case, to find the **antiderivative** of 1/sec(x) = cos x we use the substitution u so the integral becomes **antiderivative** of cos x which is sinx .It's important to note that the** antiderivative **of a function is not unique, as it involves the arbitrary **constant of integration.**

Additionally, finding** antiderivatives **can be a tricky process and it might require a good understanding of the basic rules and techniques of integration, as well as some practice.

It's important to note that this result is valid for all x except x = (n+1/2)π, where n is an integer, because at those points, tan(x) is not defined, thus the integral should be handled separately at those points.

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help!!! please see attached

### Answers

The **speed** of the **runner** at a **time** of 2 hours is approximately 11 kilometers per hour.

How to estimate the speed of a runner by trangent line

In this question we find a smooth **curve** for runner's **distance**, in kilometers, in **time**, in hours, and the speed at t = 2 hours can be estimated by constructing a **line** tangent to the curve. The **speed** (v), in kilometers per hour, can be estimated by secant line formula:

v ≈ [x(3 h) - x(1 h)] / (3 h - 1 h)

Where:

x(1) - Distance at t = 1, in kilometers.x(3) - Distance at t = 3, in kilometers.

If we know that x(1 h) = 22 km and x(3 h) = 44 km, then the velocity of the runner is:

v ≈ (44 km - 22 km) / (3 h - 1 h)

v ≈ 22 km / 2 h

v ≈ 11 km / h

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Perform each of the following operation and report your final answer with the correct number of significant figures and in scientific notation. Explain. a) 7987.34 + 23.456 - 7.8

### Answers

The final answer is 8013.996 with 6 significant figures. In **scientific notation**, the answer is 8.013996 × 10³.

a) 7987.34 + 23.456 - 7.8

1. **Addition**: 7987.34 + 23.456 = 8020.796

The **number** of significant figures in 8020.796 is 6, which is the same as the number of significant **figures **in 7987.34 (the number with the least significant figures).

2. **Subtraction**: 8020.796 - 7.8 = 8013.996

The number of significant figures in 8013.996 is 6, which is the same as the number of significant **figures** in 8020.796 (the number with the least significant figures).

Hence, the **final **answer is 8013.996 with 6 significant figures. In **scientific notation**, the answer is 8.013996 × 10³.

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What is the area,,,,,,,,,,,,,,,,,,,,,,,,,,,,

### Answers

**Answer:=64 sq.**

**Step-by-step explanation:**

How do you solve a system of equations using a calculator?

### Answers

Input the **equations** into the **calculator,** making sure to use the correct syntax for the calculator.

Select the function or command for solving a system of equations. On a TI-83/84 calculator, this function is "Solve."

Input the variables that you want to solve for into the function.

Press "Enter" or "Calculate" to solve the system of equations.

A system of equations is a set of two or more **equations** with the same variables that must be solved simultaneously. Solving a system of equations can often be a difficult task, but using a calculator can make the process much easier and more efficient.

To solve a system of equations using a calculator, you need a **calculator **that has the capability to solve systems of equations. Most scientific or graphing calculators have this feature. To solve the system of equations, you need to input the equations into the calculator and then use a specific function or command to solve the system.

Here are the steps to solve a system of equations using a graphing calculator:

Input the equations into the calculator, making sure to use the correct syntax for the calculator.

Select the function or command for solving a system of equations. On a TI-83/84 calculator, this function is "Solve."

Input the variables that you want to solve for into the function.

Press "Enter" or "Calculate" to solve the system of equations.

The calculator will then display the solutions for the variables. The solutions represent the values of the variables that satisfy both equations in the system.

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trigonometric ratios in right triangles calculator is

### Answers

In the** right angled triangle** the calculation of **trigonometric ratio** can be done using following formula's :

sin α = **Altitude / Hypotenuse** cosec α = Hypotenuse / Altitude

cos α = **Base / Hypotenuse** sec α = Hypotenuse / Base

tan α =** Altitude / Base** cot α = Base / Altitude

In a right angle triangle,

let us consider ΔABC is right angled triangle with ∠B as right angle.

Now let ∠C = α

AC = **hypotenuse**

BC = Base

AB = Altitude

Calculation of** trigonometric ratio** in the right angle triangle are defined as:

sin α = Altitude / Hypotenuse

= AB / AC

cos α = Base / Hypotenuse

= BC / AC

tan α = Altitude / Base

= AB /BC

cosec α = 1 / sinα

= Hypotenuse / Altitude

= AC / AB

sec α = 1 / cosα

= Hypotenuse / Base

= AC / BC

cot α = 1 / tan α

= Base / Altitude

= BC / AB

Therefore, the **trigonometric ratio **calculation is done through :

sin α = AB / AC , cos α = BC / AC , tan α = AB / BC

cosec α = AC / AB , sec α = AC / BC , cot α = BC / AB.

The given question is incomplete, I answer the question in general according to my knowledge:

How to calculate trigonometric ratios in right triangles ?

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Each side of the base of a square pyramid measures 12 inches. The height of each lateral face of the pyramid is also 12 inches.

What is the surface area of the pyramid?

Enter your answer in the box.

in²

### Answers

The **surface area** of the **pyramid**, given the height of the faces and the sides of the bases, can be found to be 432 inches ²

How to find the area of a pyramid ?

When given a **square pyramid** as given in the question, the formula to find the** surface area **would be:

= 2bs + b² Square units

Where :

b = side length

s = slant **height **

The surface area of the pyramid is therefore:

= ( 2 x 12 x 12 ) + 12²

= 432 inches ²

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**Answer:**

**Step-by-step explanation:**

How many pounds in 12 Kilograms?

### Answers

There are approximately 26.45 **pounds** in 12 **kilograms**. To convert kilograms to pounds, you must multiply the number of kilograms by 2.2.

To convert **kilograms **to** pounds**, you can use the conversion factor of 2.20462. This means that for every kilogram, there are 2.20462 pounds. To convert 12 kilograms to pounds, simply multiply 12 by 2.20462. The result, 26.46 pounds, is the equivalent weight in pounds of 12 kilograms.

It's important to note that the **kilogram** and **pound** are both units of measurement for weight or mass. The kilogram is the standard unit of mass in the International System of Units (**SI**), while the pound is a unit of weight commonly used in the United States and some other countries.

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4

Solve the system of linear equations by graphing. (3 Pts)

y=x+3

y=-x-3

### Answers

**Answer:**

I believe it’s 2,1

Sorry if incorrect

Choose the best method for solving

and solve. Show your work

y=-x-6

x+3y=-18

### Answers

**Answer:**

x = -9 and y = -3

**Step-by-step explanation:**

One method for solving a system of equations is substitution. To use substitution, we can solve one equation for one variable in terms of the other, and then substitute that expression into the other equation.

Here is one way to solve the system using substitution:

Solve the first equation for y: y = x + 6

Substitute this expression for y into the second equation: x + 3(x + 6) = -18

Solve for x: x + 3x + 18 = -18

Simplify: 4x = -36

Solve for x: x = -9

Substitute this value of x back into the first equation to find y: y = (-9) + 6 = -3

So the solution to the system is x = -9 and y = -3.

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Shrimp salad with avacado

99 cents per 4 cups

$8.99 per pounds

$2.50 per 8 ounces

questions:

How much will 300 ounces of shrimp cost?

how much will 1,000 ounces of lettuce cost?

how much will 25 pounds of avocado's cost?

### Answers

According to the problem,300 ounces of shrimp would cost $75.00.1,000 ounces of lettuce would cost $25.00.25 **pounds **of avocado's would cost $212.50.

What is the pounds ?

The pound is the unit of currency used in the United Kingdom. It is represented by the symbol £ and is also known as the British pound, sterling, or GBP. It is one of the oldest **currencies **in the world, dating back to the 8th century. The pound is divided into 100 pence and is used to purchase goods and services in the UK. It is also used as a reserve currency in many other countries and is accepted as legal tender in many more.

300 ounces of shrimp would cost $75.00 (300 ounces x 8 ounces = 2400 ounces; 2400 ounces /4 cups = 600 cups; 600 cups x $2.50 = $75.00).

1,000 ounces of lettuce would cost $99.00 (1000 ounces / 4 cups = 250 cups; 250 cups x 99 cents = $99.00).

25 pounds of **avocados **would cost $212.50 (25 pounds x 8 ounces = 200 ounces; 200 ounces x $2.50 = $500; $500 / 2 = $250; $250 - $37.50 = $212.50).

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Find the total surface area of this cuboid. 4 cm 5 cm 2 cm

### Answers

Answer:40

Step-by-step explanation:

Width x length x height

4 x 2 = 8 x 5 = 40

Marissa is selling paintings for $12 each and bracelets for $6 each. Her goal is to sell at least $500 in products, and she must sell at least 40 bracelets. Which of the following combinations will satisfy these constraints?

30 paintings and 42 bracelets

20 paintings and 42 bracelets

15 paintings and 50 bracelets

10 paintings and 44 bracelets

### Answers

**the answer that works here is 30**

**Step-by-step explanation:**

a=612

b=492

the other two arnt an option

Need help finding the vertex for g(x)!!

### Answers

**Answer:**

**Step-by-step explanation:**

The vertex of g(x) is at the point (-1, -3)

Raul tried to evaluate an expression step by step 3-(-5)-7 =3+5-7 =3+2 =5

### Answers

**Answer:**

**Step-by-step explanation:**

Raul's steps are incorrect. The correct steps to evaluate the expression 3-(-5)-7 would be:

3-(-5)-7 = 3+5-7 (Using the order of operations, first we have to evaluate the parentheses, since the negation sign is inside it)

= 8-7 (After evaluating the parentheses)

= 1 (Subtracting 7 from 8)

So, the expression 3-(-5)-7 = 1

A cuanto equivale 17 kilos en libras

### Answers

Para **convertir** 17 kilogramos a libras se multiplica 17 por 2.205, dando como resultado 37.365 libras, y se puede redondear a 37.4 libras si se desea ser más preciso. Es importante tener en cuenta la relación de conversión y la precisión de las cifras al hacer conversiones de unidades de medida.

La **conversión** de unidades de medida es una habilidad importante en matemáticas y ciencias, y es especialmente útil cuando se trabaja con diferentes sistemas de medición en diferentes países o disciplinas. Una de las conversiones más comunes es la de kilogramos a libras.

Para convertir **kilogramos** a libras, se utiliza la relación de conversión de 1 kilogramo = 2.205 libras. Entonces, para convertir 17 kilogramos a libras, se multiplica 17 x 2.205 = 37.365 libras.

Es importante recordar que el sistema métrico utiliza el kilogramo como unidad de masa, mientras que el sistema inglés utiliza la libra.

Es importante también tener en **cuenta la precisión** de la conversión, en general se utilizan las cifras significativas para dar un resultado más preciso, en este caso 37.365 libras se puede redondear a 37.4 libras.

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AP Statistics TPS 8.3Q. Which of the following changes to a study would result in a narrower confidence interval?answer choices- increasing the confidence level, increasing the sample size- decreasing the confidence level, decreasing the sample size- increasing the confidence level, decreasing the sample size- decreasing the confidence level, increasing the sample size.

### Answers

**Answer:**

**Step-by-step explanation:**

The correct answer is decreasing the confidence level, increasing the sample size.

A narrower confidence interval means that the range of possible values for the true population parameter is smaller, indicating greater precision in the estimate.

Increasing the sample size will increase the precision of the estimate of the population parameter, thus resulting in a narrower confidence interval.

On the other hand, decreasing the confidence level will also result in a narrower interval. Since the confidence interval represents a range of values that are likely to contain the true population parameter, a lower confidence level means that there is less uncertainty in the estimate of the population parameter, which leads to a narrower interval.

Increasing the **sample size **and lowering the **confidence level **are the correct responses.

A** narrower confidence** interval denotes more accuracy in the estimate because it reduces the range of** potentia**l values for the true population parameter.

A narrower confidence interval will be produced by increasing the sample size because it will improve the estimate of the **population parameter's** precision.

On the other hand, a narrower** interval** will be produced by lowering the confidence level. A lower confidence level indicates that there is less uncertainty in the estimate of the population parameter, which results in a narrower interval. The confidence interval reflects a range of values that are likely to contain the true population parameter.

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5. Ue the number line to help you decide which tatement i true. 7/8 < 3/4

7/8=3/4 7/8 >3/4

### Answers

The **ordered **pair (-6, 8) in the first row of the table can be written using **function **notation as f(-6) = 8

In this question we have been given the table with two columns.

First **column **contains the values for x and the second column contains the values for f(x).

x : -6 7 4 3 -5

f(x) : 8 3 -5 -2 12

The first column represents the **input **values x which are independent. As the second column is f(x), it means all the values which we get as input values of x. This means, f(x) represent the output values.

The ordered pair given in the first row of the **table **is (-6, 8)

This can be written using function notation as f(-6) = 8

Therefore, from the given **function **table f(-6) = 8

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A________ is a number that can be written as a fraction. (It is not an actual number, just a vocab word.) :)

### Answers

**Rational Numbers** These are all numbers, including all integers and most decimals, that can be stated as fractions.

What is a number that can be written as a fraction?Any number that can be expressed as a fraction of two whole numbers (or their negatives), a and b, is said to be rational. Since 2 and 5 are integers, this indicates that is a rational number.All whole numbers are rational since they can all be **expressed** as fractions. As an illustration, the numbers 4 and 65 can both be written as 1 and 3,867 as 1 respectively.There are three main fraction kinds in mathematics. They come in three varieties: proper fractions, incorrect fractions, and mixed fractions.Given that a fraction is a piece of a whole, a whole number can be expressed as a **fraction** by placing it in the numerator and placing 1 in the denominator.

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Determine where on the coordinate plane the point (8, 0) would be located. How do you know?

### Answers

It would be located on the x axis and move over 8 spaces but don’t move up I know because 8 is on the x axis and 0 is the y axis so you move over but not up

**Answer: It would only be on the x-axis, because, x comes before y in the parenthesis, (X,Y). So you would go over to the right 8, and up 0.**

A unit cube has a length of

__ unit(s), a width of

__ unit(s), and a height of

__ unit(s).

### Answers

A unit cube is the one whose **length**,breadth and height are all equal to 1cm,which makes the volume of the cube 1cm3. A unit cube can be used as a standard to measure the volume of objects.

Define volume?Volume is a **three-dimensional **space measurement. It is frequently numerically quantified using SI-derived units or various imperial or US customary units. The definition of **length** is linked to the definition of volume.Volume is defined as the space occupied by an object within the boundaries of three-dimensional space. It is also known as the object's capacity.A solid has a definite volume and shape, a liquid has a definite volume but no definite shape, and a gas has neither.Volume is the amount of space occupied by a three-dimensional object and is measured in cubic units.A solid is the state of matter that has a definite shape and volume.

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A unit cube is the one whose length,breadth and height are all equal to 1cm,which makes the volume of the cube 1cm3. A unit cube can be used as a standard to measure the **volume of objects.**

**Define volume?**

Volume is a three-dimensional space measurement. It is frequently numerically quantified using** SI-derived **units or various imperial or US customary units.The definition of length is linked to the definition of volume.Volume is defined as the space occupied by an object within the boundaries of three-dimensional space. It is also known as the object's capacity.A solid has a definite volume and shape, a liquid has a definite volume but no definite shape, and a gas has neither.Volume is the amount of space occupied by a** three-dimensional **object and is measured in cubic units.A solid is the state of matter that has a definite shape and volume.

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Similar right triangles solve for x

### Answers

Using the **leg rule**, the value of x in the **right triangle** is: 6.6.

What is the Leg Rule?

The **leg rule **is a mathematical principle that connects the segments that are created by the legs of a **right triangle**, with the legs of the triangle that they are in contact with.

The formula is:

Hypotenuse / leg = leg / part

Given the following:

Hypotenuse = x + 15

leg = 18

Part = 15

Substitute:

(x + 15) / 18 = 18/15

15(x + 15) = (18)(18)

15x + 225 = 324

15x = 324 - 225

15x = 99

x = 99/15

x = 6.6

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help me please 100 points please

### Answers

Answer:

2(2W + W) = 60

Step-by-step explanation:

There are two lengths and two widths. The perimeter is the distance around the figure.

2(2w + w) = 60

4w + 2w = 60

6w = 60 Divide both sides by 6

w = 10

The width is 10. The length is twice as long 20

10 + 10+ 20 + 20 = 60

60= 60

**Answer:**

2(2W + W) = 60

**Step-by-step explanation:**

There are two lengths and two widths. The perimeter is the distance around the figure.

2(2w + w) = 60

4w + 2w = 60

6w = 60 Divide both sides by 6

w = 10

The width is 10. The length is twice as long 20

10 + 10+ 20 + 20 = 60

60= 60

calculate the area of a rectangle in cm2 with a width of 8.6 cm and height of 4.7 cm. be sure to include the proper number of significant figures.

### Answers

The **area** of a rectangle with a width of 8.6 cm and a height of 4.7 is 40.42 [tex]cm^{2}[/tex]. The total area of 40.42 [tex]cm^{2}[/tex] has 4 **significant figures**.

Area

By knowing the width and height of a rectangle we will be able to determine the **area** of the shape by multiplying them. Or the **area** of a rectangle can be found by multiplying the two sides.

Given,

Long square width : 8.6 cmLong square height : 4.7 cm

Then the area of the rectangle:

Area = Width x height

Area = 8.6 cm x 4.7 cm

Area = 40.42 [tex]cm^{2}[/tex]

So, the **area** of the rectangle above is 40.42 [tex]cm^{2}[/tex] and it has 4 **significant figures** provided that zeros located between non-zero numbers are significant figures.

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How much is 6000 Peso (MXN) in US Dollars?

### Answers

6000 **Mexican pesos** is equivalent to approximately $281.70 USD.

It's important to note that the exchange rate is not fixed and can fluctuate on a daily basis. So, if you need to convert a large sum of money, it's recommended to keep an eye on the exchange rate for a few days to make sure you get the** **best rate possible.

This rate is constantly changing due to many factors like inflation, **political stability,** and trade relations between the countries.

the **conversion rate of 6000 MXN to USD **is not a fixed value, and it's important to be aware of the current exchange rate to get the most accurate conversion.

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Bargain Buter ell four can of oup for £3. 76 Cot Cutter ell three can of oup for £2. 85 Which hop ell the cheapet oup? Explain your anwer

### Answers

The shop that sells the cheapest soup is Cutter, as they are offering three **number** of cans of soup for £2.85, which is **cheaper** than the £3.76 Butter is offering for four cans of soup.

The shop that sells the cheapest soup is Cutter, as they are offering three **number** of cans of soup for £2.85, which is cheaper than the £3.76 Butter is offering for four cans of soup.

1. First, we need to compare the two prices of the two shops.

2. Butter is offering four cans of soup for £3.76 while Cutter is offering three cans of soup for £2.85.

3. Therefore, Cutter is offering the **cheaper** price per can.

4. Therefore, **Cutter** is offering the cheapest soup.

The shop that sells the cheapest soup is Cutter, as they are offering three cans of soup for £2.85, which is cheaper than the £3.76 Butter is offering for **four cans of soup.**

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Let a,b,c is the positive numbers that a+b+b=6

Find Min P=a[tex]\frac{a}{4+b^{2} } +\frac{b}{4+c^{2} } +\frac{c}{4+a^{2} }[/tex]

### Answers

P = a = 3, since a, b, and c must add up to 6, and since a is the only **positive number**, it must be 3.

What is the positive number ?

A positive number is any real number greater than zero. Examples of positive numbers include 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so forth. Positive numbers can be expressed in scientific notation, as fractions, as decimals and as whole numbers. Positive numbers have a variety of applications in **mathematics**, science, economics and engineering.

P = a = 3, since a, b, and c must add up to 6, and **since **a is the only positive number, it must be 3.

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which information would you use to find out if a source is credible when researching the health benefits of standing desks? select two answers.(1 point) responses study sample size study sample size website popularity website popularity article publication date article publication date a friend's story about her standing desk a friend's story about her standing desk positive product reviews

### Answers

**Information **for use to find out if a source is credible when** researching the health benefits** of standing desks study sample size and article publication date is **study sample size** and **article publication date**.

Study Sample Size

Study sample size is an important factor in determining the credibility of research because a larger **sample size** increases the power of the study and reduces the likelihood of **random error**.

**Article publication date** is also important because research on a topic can become outdated over time and newer studies may have different or more robust findings.

A website popularity or positive product reviews do not necessarily indicate the credibility of the source or the validity of **the research**. A friend's story about her standing desk is also not considered a credible source of information in scientific research.

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