Question

A carbon atoms weights 1.99 x 10^-26 kg, and a helium atom weights 6.65 x 10^-27 kg. How many times heavier is an atom of carbon than an atom of helium? Round to the nearest whole number.

71

likes
353 views

Answer to a math question A carbon atoms weights 1.99 x 10^-26 kg, and a helium atom weights 6.65 x 10^-27 kg. How many times heavier is an atom of carbon than an atom of helium? Round to the nearest whole number.

Expert avatar
Jett
4.7
97 Answers
1. Weight of a carbon atom: 1.99 \times 10^{-26} kg

2. Weight of a helium atom: 6.65 \times 10^{-27} kg

3. Divide the weight of the carbon atom by the weight of the helium atom:

\frac{1.99 \times 10^{-26}}{6.65 \times 10^{-27}}

4. Calculate the ratio:

\frac{1.99}{6.65} \times \frac{10^{-26}}{10^{-27}} = \frac{1.99}{6.65} \times 10^{1}

5. Simplify the fraction:

\frac{1.99}{6.65} \approx 0.2992

6. Multiply by 10^{1} to shift the decimal place:

0.2992 \times 10 = 2.992

7. Round to the nearest whole number:

\approx3

Thus, an atom of carbon is approximately 3 times heavier than an atom of helium.

Frequently asked questions (FAQs)
What is the derivative of cos^3(x) + sin^2(2x) - tan(3x)?
+
Math Question: What is the equation of a circle with a center at (2, -3) and a radius of 5 units?
+
Math question: Graph the inequality 4x + 3y ≤ 12 on a two-variable coordinate plane.
+
New questions in Mathematics
A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.
A software company incurs a cost of $50 per license sold plus $5,000 in fixed costs. How many licenses should you sell to minimize total costs?
A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?
90 divided by 40
Let I ⊂ R be a bounded and nonempty interval. Show that there are numbers a, b ∈ R with a ≤ b and I =[a,b] or I =[a,b) or I =(a,b] or I =(a,b)
Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.
Find the root of x^4-10x^ 5=0 using Newton's method, with a precision of the smallest positive root.
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
41/39 - 1/38
The equation of the straight line that passes through the coordinate point (2,5) and is parallel to the straight line with equation x 2y 9 = 0 is
What is 28 marks out of 56 as a percentage
Express the trigonometric form of the complex z = -1 + i.
17. A loan for $104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
A 20-year old hopes to retire by age 65. To help with future expenses, they invest $6 500 today at an interest rate of 6.4% compounded annually. At age 65, what is the difference between the exact accumulated value and the approximate accumulated value (using the Rule of 72)?
The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is acceptable.
4m - 3t + 7 = 16
For how long does the principal amount of €7,537 bring the same interest as the principal amount of €12,345 invested for 8 months? Interest calculation is simple and decursive.
-1/3x+15=18
Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.
f(x)= 9-x^2 find (f(x+h)-f(x) )/h