Answer:
The correct option is 1/4^2
Step-by-step explanation:
The given expression is:
4^6 * 4^-8
According to the same base rule if the exponents have the same base then the exponents will be added.
If we look at the given expression both the values have the same base.
Therefore we will add the exponents of the value.
= 4^6+(-8)
= 4^6-8
= 4^-2
Now to change the negative exponent into positive we will take it to the denominator.
4^-2 = 1/4^2
Thus the correct option is A....
Your answer would be 1/8.
The probability for getting a tail one time would be 1/2 because there are only 2 sides of a coin. Since tossing one coin doesn't affect the outcome of tossing the other coins, the probability for getting a tail on all of the coins is 1/2 each. We want this to happen 3 times, so the answer would be 1/2 × 1/2 × 1/2 = 1/8.
I hope this helps!
9514 1404 393
Answer:
a. 1.48 seconds
Step-by-step explanation:
You want to find the larger value of t such that h(t) = 10.
-16t^2 +25t +8 = 10
16t^2 -25t +2 = 0 . . . . subtract the left side to get standard form
Using the quadratic formula, we find the values of t to be ...
t = (-(-25) ± √((-25)^2 -4(16)(2)))/(2(16)) = (25±√497)/32
t ≈ 0.08 or 1.48
The ball goes in the hoop about 1.48 seconds after it is thrown.
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<em>Additional comment</em>
The quadratic formula tells us the solution to ...
ax² +bx +c = 0
is given by ...

Here, we have a=16, b=-25, c=2. Of course, our variable is t, not x, but the relation is the same.
Answer:
C. Because they have the same slopes and different y-intercepts
Step-by-step explanation:
Answer:
1/9
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