Evaluating 36^(-3/2) utilizes the laws of exponents. Raising a number by a negative exponent is raising the reciprocal of the number by the exponent: 36^(-3/2) = (1/36)^(3/2).
We could separate 3/2 into 3/2 = 1/2 * 3, and further simplify the expression
= ((1/36)^(1/2))^3= (1/6)^3= 1/216
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Answer: n = 130
Step-by-step explanation:
The sequence is an Arithmetic progression ( AP )
The last term of the sequence is (L) is 394 with the formula
L = a + ( n- 1 )d . From the sequence, a = 7, d ( common difference ) = 3 and L ( last term ) = 394, and n = ?
Put those values in the formula above and solve for n.
a + ( n - 1 )d = L
7 + ( n - 1 ) x 3 = 394
7 + 3n - 3 = 394
4 + 3n = 394
3n = 394 - 4
3n = 390
n = 130
N-1(-1/2) is the formula because the sequence is taking half of the previous number and changing its sign
Answer:
B. x
Step-by-step explanation:
-3x+8y=-6
3x-2y=-12
if we add these
-3x+3x+8y-2y=-6-12
6y=-12 so x will be eliminated
(12x^4 + 17x^3 + 8x - 40) ÷ (x + 2)
<span> =<span><span><span><span><span><span><span>12<span>x^4</span></span>+<span>17<span>x^3</span></span></span>+<span>8x</span></span>−40 / </span><span>x+2</span></span></span></span></span><span> =<span><span><span><span><span>(<span>x+2</span>)</span><span>(<span><span><span><span>12<span>x^3</span></span>−<span>7<span>x^2</span></span></span>+<span>14x</span></span>−20</span>) / </span></span><span>x+2</span></span></span></span></span><span> =<span><span><span><span>12<span>x^3</span></span>−<span>7<span>x^2</span></span></span>+<span>14x</span></span>−<span>20</span></span></span>
