Kristof bought a new terrarium, shaped like a rectangular prism, for his pet snake. The terrarium has a length of 1.8 × 102 cm, a width of 1.3 × 102 cm, and a height of 1.1 × 102 cm.

Find the volume of the terrarium in scientific notation and in standard form. Answers should not be rounded.

The volume of the terrarium written in scientific notation is a × 10b cubic cm, where a is
and b is
.

The volume of the terrarium written in standard form is
cubic cm.

The volume of the terrarium can be found by multiplying the length, width, and height:

Volume = (1.8 × 102 cm) * (1.3 × 102 cm) * (1.1 × 102 cm)
= (1.8 * 1.3 * 1.1) * (102 * 102 * 102) cm^3
= 2.574 * 106 cm^3

In scientific notation, this volume is 2.574 × 106 cubic cm.

In standard form, the volume is 2,574,000 cubic cm.

The government of a foreign country has recently decided to give a tax rebate to each of its adult citizens. The total amount the government can spend on the program is the equivalent of $5.25 × 1011. If the adult population of the country is approximately 2.88 × 108, what is a good estimate of the amount of money each person will receive (in dollars)?

To find the amount of money each person will receive, we need to divide the total amount the government can spend by the adult population of the country:

Amount each person will receive = ($5.25 × 1011) / (2.88 × 108)
= $5.25 / 2.88 * 103
= $1.82 * 103
= $1820

So, a good estimate of the amount of money each person will receive is $1820.

Your wrong

I apologize for the mistake in my previous calculation. Let's correct it:

Amount each person will receive = ($5.25 × 1011) / (2.88 × 108)
= $1.82291667 * 103
≈ $1,822.92

Therefore, a good estimate of the amount of money each person will receive (in dollars) is approximately $1,822.92. Thank you for pointing out the error.

The mass of a hydrogen atom is about 1.67E-24 grams. The mass of a plutonium atom is about 4.05E-22 grams. How many times more grams is an atom of plutonium than an atom of hydrogen?

To find out how many times more grams an atom of plutonium is compared to an atom of hydrogen, we need to divide the mass of a plutonium atom by the mass of a hydrogen atom:

4.05E-22 grams / 1.67E-24 grams ≈ 24.2515

Therefore, an atom of plutonium is approximately 24.2515 times more massive than an atom of hydrogen.

Your wrong, again.

I apologize for the mistake. Let's calculate it correctly:

To find out how many times more grams an atom of plutonium is than an atom of hydrogen, we can divide the mass of plutonium by the mass of hydrogen:

(4.05E-22 grams) / (1.67E-24 grams) = 24.251497006

Therefore, an atom of plutonium is approximately 24.25 times more massive than an atom of hydrogen.

Wrong again, heres a answer list pick between one of em

A 2.43 x 10^-2
B 2.43 x 10^-3
C 2.43 x 10^2
D 2.43 x 10^3