<u><em>Answer:</em></u>
x⁵y⁸
<u><em>Explanation:</em></u>
<u>Before we begin, remember that:</u>
xᵃ * xᵇ = xᵃ⁺ᵇ
<u>Now, for the given problem, we have:</u>
x⁴y⁵xy³
<u>This could be written as:</u>
(x⁴ * x¹) * (y⁵ * y³)
<u>Applying the above rule, we would get:</u>
x⁴⁺¹ y⁵⁺³
<u>Simplifying the above, we get:</u>
x⁵y⁸
Hope this helps :)
The probability is 1/12.
There are two outcomes for flipping a coin and 6 for rolling a 6-sided number cube. The sample space is:
(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)
(T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)
There are 12 total outcomes. Only one has heads and a 2, so the probability is 1/12.
Answer:
3t + 81
Step-by-step explanation:
1. First, let's simplify 7t+6w−4t+2w
2. As you can see, the first choice matches with our solution.
Therefore, 3t + 81 is equivalent to 7t+6w-4t+2w.
Answer:
- an = 3(-2)^(n-1)
- 3, -6, 12, -24, 48
Step-by-step explanation:
These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.
a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.
a1 = 3 (given)
a2 = a1×r = 3×(-2) = -6
a3 = a2×r = (-6)(-2) = 12
a4 = a3×r = (12)(-2) = -24
a5 = a4×r = (-24)(-2) = 48
The first 5 terms are 3, -6, 12, -24, 48.
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The explicit formula for the terms of a geometric sequence is ...
an = a1×r^(n -1)
Using the given values of a1 and r, the explicit formula for this sequence is ...
an = 3(-2)^(n -1)