Answer:
17.2
Step-by-step explanation:
8 to the power of 2 is 64
19 to the power of 2 is 361
361 - 64 is 297
Square root of 297 is 17.2
Answer:
The solution is:
Part A.
which is sqrt(5)^7k/3[/tex]
Part B. k = 18/7
Step-by-step explanation:
Part A.
To solve this part, we're going two use THREE important properties of exponents:
1. 
2. 
3. ![\sqrt[n]{x^{m}} = x^{\frac{m}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D%20%3D%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%20%7D)
Let's work the numerator using the properties 1, 2 and 3:

Let's work the denominator using the properties 1, 2 and 3:

Now dividing the numerator by the denominator:

Part B
if 
Then:

So 
Solving for k, we have:
k = 18/7
Answer:
m < 38
Step-by-step explanation:
122
20 +
142
180-
142
m < 38
Answer:
<u>The first option is </u>
<u>The second option is:</u>
- B(0) = 1000
- B(1) = 1100
- The ratio is 1.1 and the zero term is 1000
<u>The equation for this option is:</u>
Now, which option is better?
It depends on the number of x. It is assumed the genie is offering money or similar reward.
For the values of x below 50 option A is better and option B is much better for x > 50.
See the graph in the attachment, where green line represents the option A and red line is option B.