An American football field has an area of 6.4×103

Question

square yards. A Canadian football field is 3,350 square yards larger. What is the area of a Canadian football field? Write your answer in scientific notation to 2 decimal places.(1 point)

Answer 1

To find the area of a Canadian football field, we start with the area of the American football field, which is given as \( 6.4 \times 10^3 \) square yards.

The area of the Canadian football field is 3,350 square yards larger than that of the American football field. Therefore, we need to add 3,350 square yards to the area of the American football field:

\[ \text{Area of Canadian football field} = \text{Area of American football field} + 3,350 \]

First, we need to convert 3,350 into scientific notation:

\[ 3350 = 3.35 \times 10^3 \]

Now we can perform the addition:

\[ \text{Area of Canadian football field} = (6.4 \times 10^3) + (3.35 \times 10^3) \] \[ = (6.4 + 3.35) \times 10^3 \] \[ = 9.75 \times 10^3 \text{ square yards} \]

Finally, writing \( 9.75 \times 10^3 \) in scientific notation to two decimal places, we get:

\[ \text{Area of the Canadian football field} = 9.75 \times 10^3 \text{ square yards} \]

Thus, the area of a Canadian football field is \( \boxed{9.75 \times 10^3} \) square yards.

Answer 2

that is wrong dont tell me it is right it is wrong

Answer 3

I apologize for any confusion! Let's go through the calculation step-by-step again to ensure accuracy.

1. Area of the American football field: \[ 6.4 \times 10^3 \text{ square yards} = 6,400 \text{ square yards} \]

2. Area of the Canadian football field: The Canadian football field is 3,350 square yards larger than the American football field: \[ 6,400 + 3,350 = 9,750 \text{ square yards} \]

3. Convert to scientific notation: We need to express 9,750 in scientific notation. \[ 9,750 = 9.75 \times 10^3 \]

So, the area of the Canadian football field, expressed in scientific notation to two decimal places, is: \[ \boxed{9.75 \times 10^3} \text{ square yards} \]

If there is a specific aspect that seems incorrect, please let me know, and I'll address it directly!

Answer 4

thx

Answer 5

You're welcome! If you have any more questions or need further assistance, feel free to ask. Happy studying!

Answer 6

A human hair has a diameter of about 4×10−3
inches. A fingernail is about 0.011 inches thicker. How thick is a fingernail? Write your answer as a decimal to 3 places.(1 point)

Answer 7

To find the thickness of the fingernail, we start with the diameter of a human hair, which is given as \( 4 \times 10^{-3} \) inches.

First, we need to convert \( 0.011 \) inches into a smaller notation for easier addition. We can express it as:

\[ 0.011 = 11 \times 10^{-3} \text{ inches} \]

Now, we add the thickness of the hair to the thickness of the fingernail:

\[ \text{Thickness of fingernail} = 0.011 \text{ inches} \]

To express this in decimal form, we calculate:

\[ \text{Thickness of fingernail} = 0.011 \text{ inches} \]

Since the question asks for the thickness of the fingernail including its thickness, we don't need to add anything to \( 4 \times 10^{-3} \).

So, the thickness of the fingernail itself, which is \( 0.011 \) inches, can also be written as:

\[ \text{Thickness of fingernail} = 0.011 \text{ inches} \]

In decimal form to three decimal places:

\[ 0.011 \text{ inches} = \boxed{0.011} \]

Thus, the thickness of a fingernail is \( 0.011 \) inches.

Answer 8

wrong it is wrong and dont tell me it is right

Answer 9

I apologize for any confusion in my previous messages. Let’s go through the problem step-by-step carefully.

1. Diameter of a human hair: This is given as: \[ 4 \times 10^{-3} \text{ inches} = 0.004 \text{ inches} \]

2. Thickness of a fingernail: It is stated that a fingernail is about \( 0.011 \) inches thicker than the diameter of the hair.

3. Calculate the thickness of the fingernail: We add this thickness to the thickness of the human hair: \[ \text{Thickness of fingernail} = \text{Diameter of hair} + \text{Thickness increase} \] \[ = 0.004 \text{ inches} + 0.011 \text{ inches} \]

   Now, perform the addition: \[ = 0.004 + 0.011 = 0.015 \text{ inches} \]

4. Express the result as a decimal to three places: \[ 0.015 \text{ inches} = \boxed{0.015} \]

So the thickness of the fingernail is 0.015 inches. Thank you for your patience, and I apologize for any misunderstandings earlier!