In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 9. Altogether, they hit 27 home runs. How many home runs did each player hit that season? Let h represent Alice's home runs. Alice hit home runs. Peter hit home runs.

There are approximately 8.958 moles of iron atoms in 500.0 g of iron, and this corresponds to about [tex]5.393 \times 10^{24}[/tex] iron atoms.

How to determine how many moles of Fe atoms?

Calculate the moles using the formula:

[tex]\text{Moles} = \frac{\text{Mass}}{\text{Molar Mass}}[/tex]

Substitute the values:

Moles = [tex]\frac{500.0 \, \text{g}}{55.845 \, \text{g/mol}}[/tex]

Moles ≈ 8.958 mol

So, there are approximately 8.958 moles of iron atoms in 500.0 g of iron.

To find the number of iron atoms, use Avogadro's number, [tex]\(6.022 \times 10^{23}\)[/tex] atoms/mol:

Number of atoms = Moles * Avogadro's number

Number of atoms = [tex]8.958 \, \text{mol} \times (6.022 \times 10^{23} \, \text{atoms/mol})[/tex]

Number of atoms ≈ 5.393 [tex]\times 10^{24}[/tex]

Therefore, there are approximately 5.393 [tex]\times 10^{24}[/tex] iron atoms in 500.0 g of iron.

Answer:

29%

Explanation:

Different people migrate to New England during the revolution era. Most of the people are from different regions, religions, races, and ethnic groups. This is because there was easy access for people to move to New England for work and other purposes. The number of English that moved to the place is approximately 29%.

The combinations of data types that is not possible is continuous and categorical

What is continuous and categorical data?

Continuous data, like weight, height, or temperature, is frequently measured on a continuous scale and can have any value within a specified range. Contrarily, discrete values that belong to certain categories or groups such as gender, ethnicity, or product types make up categorical data. Continuous data is made up of values that fall anywhere in a given range of numbers. Examples of continuous data include temperature, time, and individual height. These are measurable values that can be found among a range of potential values.

Groups or categories are represented by categorical data, sometimes referred to as qualitative data. There isn't a numerical value attached to it. Examples of categorical data are car type, gender, and educational background.

complete question;

Which of the following combinations of data types is not possible?

- discrete and categorical

- continuous and categorical

- discrete and numeric

- continuous and numeric

- all combinations of data types are possible

Answer: Categorization (option A)

Explanation: Categorization is the procedure in which possible causes and organs that can be affected by them are recognized differentiated and understood. Categorization implies that objects are grouped into categories usually for some specific purpose. Categorization is fundamental in prediction and decision making. Now we know what Categorization means and when listing the potential causes of heart diseases the doctor or researcher needs to categorize in order to determine the cause.

We know that there are 32,000 ounces in 1 ton. Therefore we use this conversion factor in our calculations. So to convert:

8.9 x 10^5 tons * (32,000 ounces / 1 ton) = 2.848 x 10^10 ounces

Writing in 2 significant figures:

2.85 x 10^10 ounces

Answer: 28.48x10^9 ounces.

Explanation:

We know that 1 ton = 32000 ounces.

Now, if we have 8.9x10^5 tons, how many ounces we have?

we know that each ton is equivalent to 32000 (or 3.2x10^4) ounces, so we need to multiply the number of tons by the number of ounces that each ton has:

8.9x10^5* 3.2x10^4 = (8.9*3.2)x(10^5*10^4) = (28.48)x10^(5+4) = 28.48x10^9

So 8.9x10^5 tons are equivalent to 28.48x10^9 ounces.

Several changes that would occur are:

- The type of goods and services that can be produced in the country would be determined by the government, not the market.

- There wouldn't be different price for a same product like in a capitalist system, since the product price would be set by the government as a national standard.

- Foreign investors would most likely turn away from countries with a command system since it provides very little rewards for products inventions.

Dimensional analysis, also known as factor-label method or unit-factor method, is a method used to convert one unit to a different unit.

Dimensional Analysis is a very basic aspect of measurement and has many applications such as in applied physics.

There are seven steps to do dimensional analysis:

1.35 kilometers per second= ? miles per hour

So first we identify the starting factor:

1.35 km/second * 0.621 miles/km = 0.838 miles/sec (the km cancel out)

Next, we need to convert from seconds into hours. There are 60 second in a minute and 60 minutes in an hour, so there are 60*60=3600 second/hour. Thus,

0.838 miles/second * 3600 second/hour = 3019.86 miles/hour.

Grade:  9

Subject: Advanced Placement (AP)

Chapter:  Dimensional analysis

Keywords:  Dimensional analysis

The new cultural traditions that arose were centered on one God/Unity of God or source and believed that all power is derived through that source.

while the earlier polytheism was a system built around multiple gods and goddesses including animism which believed that almost every element possesses a soul and a certain group worshiped certain elements.

Answer: a = 1/(g-2)

Explanation: We must solve the equation

g =  1 + 2a/a

if the equation is as written, then a/a cancels itself, because a/a = 1, and in that case we can not solve the equation for a:

g = 1 + 2a/a = 1 + 2 = 3

if the equation is, instead:

g = (1 + 2a)/a = 1/a + 2

we can solve it for a, wich means isolating a in one side of the equation, i will do it step by step.:

g = 1/a + 2

g - 2 = 1/a

a(g - 2) = 1

a = 1/(g-2)