Answer:245+3*20
305points
Step-by-step explanation:
Answer:
1. The equation represent an exponential decay
2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)
Step-by-step explanation:
When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;
log a(t) = log(a₀) + x·log(1 + r)
Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;
log y = log(-3) + x·log(2.5)
Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation represents an exponential decay.
The rate of the exponential decay is given by the following equation;
Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)
Reduce the expression<span> by cancelling the </span><span>common factors</span><span>.
</span><span><span>7<span>a^11</span><span>b^7/</span></span><span><span>a^3</span>b
</span></span>Reduce the expression<span> by cancelling the </span><span>common factors</span><span>.
</span><span>7<span>a^8</span><span>b^7/</span></span>b
Reduce the expression<span> by cancelling the </span><span>common factors</span><span>.
</span>7<span>a^8</span><span>b^<span>6
</span></span>28a^11 b^7 divided by 4a^3b simplified is 7a^8b^6
Answer:
z = 188
Step-by-step explanation:
1. 10/13 = 8 - 2z/52 (simplify - 2z/52)
10/13 = 8 (- 1/26)*z
2. 10/13 = (- 1/26)*z + 8 (flip for ease in solving)
(- 1/26)*z + 8 = 10/13
3. (- 1/26)*z + 8 = 10/13 (inverse: subtract 8 from each side to isolate variable <em>z</em>)
(- 1/26)*z = 10/13 - (8*13)/(1*13) (common denominator needed for add/subtract)
(- 1/26)*z = - 94/13 (simplify)
4. (- 1/26)*z = - 94/13 (inverse: multiply both sides by -26/1 to isolate variable <em>z</em>)
<h2>z = 188</h2>
Answer:
38.9
Step-by-step explanation:
Sin x = opposite/hypotnuse
Sin-1 = 32/51
=38.86
=38.9
