The sum of two integers with different signs is 8. Give two possible integers that fit this description
2 answers:
Answer: The two possible integers are -5 and 13 or -6 and 14.
Step-by-step explanation: We are given to find two integers with different signs and having sum equal to 8.
Let a and b represents the two integers.
Then, we can see that
a = -5 and b = 13, then we get
And, if a = -6 and b = 14, then
Thus, the two possible integers are -5 and 13 or -6 and 14.
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Answer:
Step-by-step explanation:
Substitute x = 2 and y = -4 into
2⁻² =
2⁻³ =
-4⁵ = -1024
×
× -1024 = -32
Answer:
Step-by-step explanation:
The formula you will need for this is:
where A is the amount after some decay has happened, A₀ is the intial amount, t is the time in hours, and H is the half-life in hours. Those values for us are:
A = 2 g
A₀ = 25 g
H = 4.95 hrs and
t = ?
Filling in:
Keep in mind that, because of the nature of the exponential form of this equation, you CANNOT simply multiply the 25 by the 1/2. Exponential equations don't work that way. Begin instead by dividing both sides by 25 to get
The goal is to get that t out from its exponential position. Do that by taking the natural log of both sides:
After you take the natural log of the right side, the property allows you to bring the exponent down out front:
Now divide both sides by ln(.5) to get
Simplify the left side out on your calculator to get
and then divide:
Finally, multiply both sides by 4.95 to get
3.643856(4.95) = t so
t = 18.0 hours which is choice C