The exponential equation that represents how many grams of the compound will remain after 8 hours is:
B: C=260(0.962)^8
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour, hence the equation for the mass after t hours is given by:
After 8 hours, the amount is given by:
Hence option B is correct.
More can be learned about exponential equations at brainly.com/question/25537936
Answer:
To find the value of missing exponent, we have to split the number which is in other side of equal sign (which is not having power) as the multiple of base of the missing exponent.
On both sides, powers have the same base, so their exponents must be equal.
Step-by-step explanation:
<h3>Problem 1:</h3>
Write the missing exponent:
25=5^x
Let x be the missing exponent.
To find the value missing exponent, we have to split the number which is in the left side as the multiple of the base of the missing exponent.
That is,
25=5*5 or 5^2
Now,
5^2=5^x
Powers have the same base so their exponent must be equal.
Hence the missing exponent is 2
Answer:
13, 15, 26
Step-by-step explanation
Let one side by "x". The longest side will be 2x, and the 3rd side will be 2x-11. Since they all have to add up to 54, we can form this equation: x+2x+2x-11=54, x=13.
You plug the values back in: (13), 2(13)=26, and 2(13)-11=15.
