a half-life of uranium-235 is 700,000,000 years. The half-life of uranium-238 is 4.463x10^11 years longer. What is the half-life of uranium-238? The answer should be in decimal form.
a. 516,300,000,000
b. 447,000,000,000
c. 11,463,000,000
To find the half-life of uranium-238, we can subtract the given difference in half-lives from the half-life of uranium-235.
The given difference in half-lives is 4.463x10^11 years longer.
So, the half-life of uranium-238 is 700,000,000 years + 4.463x10^11 years.
To write this in decimal form, we can evaluate the expression:
700,000,000 + 4.463x10^11 = 700,000,000 + 446,300,000,000 = 447,000,000,000.
Therefore, the half-life of uranium-238 is 447,000,000,000 years.
The correct answer is b. 447,000,000,000.
To determine the half-life of uranium-238, we need to add the extra length of time to the half-life of uranium-235.
The extra length of time for uranium-238 is given as 4.463x10^11 years.
To find the half-life of uranium-238, we add this value to the half-life of uranium-235.
Half-life of uranium-238 = Half-life of uranium-235 + Extra length of time of uranium-238
Half-life of uranium-238 = 700,000,000 years + 4.463x10^11 years
We convert the extra length of time from scientific notation to decimal form:
4.463x10^11 = 446,300,000,000
Half-life of uranium-238 = 700,000,000 + 446,300,000,000
Half-life of uranium-238 = 447,000,000,000
Therefore, the half-life of uranium-238 is 447,000,000,000 years.
The answer is option b.
To find the half-life of uranium-238, we need to add the extra time to the half-life of uranium-235.
Given: Half-life of uranium-235 = 700,000,000 years
Extra time for uranium-238 = 4.463x10^11 years
To add the extra time, we add the two values:
700,000,000 + 4.463x10^11
Now, we need to convert 4.463x10^11 into decimal form. To do this, we multiply the coefficient (4.463) by 10 raised to the power of the exponent (11):
4.463 * 10^11
Since 10 raised to the power of 11 is equal to 10,000,000,000, we multiply 4.463 by 10,000,000,000:
4.463 * 10,000,000,000
Now, we can add the two values:
700,000,000 + 4.463 * 10,000,000,000
Calculating this, we get:
516,300,000,000
Therefore, the half-life of uranium-238 is 516,300,000,000 years.
Hence, the correct answer is (a) 516,300,000,000.
A mobile phone holds 1.28x10^11 bytes of storage. You can also pay more money to get an additional 384,000,000,000 bytes, How much storage would your phone have if you buy the additional bytes? The answer should be in scientific notation.
To calculate the total storage of the phone if you buy the additional bytes, we need to add the two storage values:
1.28x10^11 bytes + 384,000,000,000 bytes
First, let's convert the second value into scientific notation. Notice that 384,000,000,000 is equal to 3.84x10^11. We can think of this as moving the decimal point 11 places to the left while increasing the exponent by 11:
384,000,000,000 = 3.84x10^11
Now we can add the two values:
1.28x10^11 bytes + 3.84x10^11 bytes
When we add these values, we keep the same exponent because we are adding numbers with the same power of 10:
1.28x10^11 + 3.84x10^11 = 5.12x10^11
Therefore, if you buy the additional bytes, your phone will have a total storage of 5.12x10^11 bytes.