Answer:
=45x√5x
Step-by-step explanation:
The provided expression is: 3√5x×3√25x²
We can simplify 3√25x² because √25x²=5x
3×5x=15x
Combine with the rest of the expression through multiplication.
3√5x×15x
=45x√5x
The expression 3√5x×3√25x² is equivalent to 45x√5x.
The expected simplified answer is 45x√5x
Answer: You have a better chance if you do not replace the red marble.
Step-by-step explanation:
The bag has:
5 red marbles
8 blue marbles
4 yellow marbles
3 green marbles
A total of 5 + 8 + 4 + 3 = 20
You want to draw a red marble and then a blue marble.
The probability of drawing a red marble in your first attempt is the number of red marbles divided the total number of marbles:
P1 = 5/20
now you want to draw a blue marble.
If you replace the red marble, you have 20 marbles again in the bag, then the probability of drawing a blue marble is:
P2 = 8/20
The joint probability is P = P1*P2 = (5/20)*(8/20) = 0.1
If you do not replace the red marble, you have 19 total marbles in the bag, then the probability of taking a blue marble is:
P2 = 8/19
The joint probability is:
P = P1*P2 = (5/20)*(8/19) = 0.105
The probability is slightly bigger if you do not replace the red marble.
With annual compounding, the number of years for 1000 to become 1400 is 6.7 years
With continous compounding, the number of years for 1000 to become 1400 is 1.35 years
<h3>How long would it take $1000 to become $1,400?</h3>
With annual compounding, the formula that would be used is:
(In FV / PV) / r
Where:
- FV = future value
- PV = present value
- r = interest rate
(In 1400 / 1000) / 0.05 = 6.7 years
With continous compounding, the formula that would be used is:
(In 1400 / 1000) / (In e^r)
Where r = interest rate
((In 1400 / 1000) / (In e^0.05) = 1.35 years
To learn more about how to determine the number of years, please check: : brainly.com/question/21841217
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Answer:
Step-by-step explanation:
To find the inverse of a function you take it in y=f(x) form, switch x and y and then solve for the new y.
So I'll do the first one.
f(x) = 8x-10
y=8x-10 Now switch x and y
x = 8y-10 Now solve for y.
x+10=8y
(x+10)/8 = y
g(x) is not that, so it is not the inverse. Can you figure out the second one?
Answer:
Step-by-step explanation:
the lines weren't really clear so sorry if its a bit messy