Instructions: Find the measure of the indicated angle to the nearest
1 answer:
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Answer:
k = -4
Step-by-step explanation:
The remainder theorem tells you that the remainder from division f(x)/(x -k) is f(k). You want the value of k such that ...
f(k) = -15
Looking on the given graph, you find that k must be -4. That is, ...
f(-4) = -15
k = -4
_____
The divisor with k=-4 is (x -(-4)) = (x +4). The second attachment shows the division of f(x) by (x+4). The remainder is shown on the bottom line.
From the description we can infer that we have the expression: 
.
Now, to write our expression as a as a root, we are going to apply the law of exponents:
first
Next, we are going to apply the law about fractional exponents:![x^{ \frac{m}{n}}= \sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%20%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%20)
![\frac{1}{41^{ \frac{2}{5} }}= \frac{1}{ \sqrt[5]{41^2} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B41%5E%7B%20%5Cfrac%7B2%7D%7B5%7D%20%7D%7D%3D%20%5Cfrac%7B1%7D%7B%20%5Csqrt%5B5%5D%7B41%5E2%7D%20%7D%20)
We can conclude that the value of B is 2.
Now, to write our expression as a as a root, we are going to apply the law of exponents:
Next, we are going to apply the law about fractional exponents:
We can conclude that the value of B is 2.
Answer: 1211.6585 years
<u>Step-by-step explanation:</u>
The equation for exponential growth is:
- P: final population
- P₀: initial population
- k: rate of decay (or growth)
- t: time
Use the half life information to find k:
Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.