Starting with the equation 4(3b + 2)² = 64, if we divide both sides by 4 we obtain
(3b + 2)² = 16. By taking the square root of both sides,
we derive two cases: (3b + 2) = 4 and (3b + 2) = -4.
Solving each equation for b yields:
3b = 2 or 3b = -6,
leading to b values of 2/3 and -2. Ultimately, the results specify that b = 2/3 and b = -2.
Initially, we need to determine how fast he skis in a minute without considering any speed increase.
To do that, we'll divide the total distance by the time.
960 divided by 5 equals 192.
Therefore, his speed is 192 meters per second.
Now, let's add 20 to this figure.
192 plus 20 equals 212.
Now, to calculate how far he can travel in 10 minutes, we multiply 212 by 10.
212 times 10 equals 2120.
Thus, Alex can cover 2120 meters in 10 minutes.
<span>As the restaurant owner,
The likelihood of hiring Jun is 0.7 => p(J)
The likelihood of hiring Deron stands at 0.4 => p(D)
The chance of hiring at least one of them is 0.9 => p(J or D)
We can formulate the probability equation:
p(J or D) = p(J) + p(D) - p(J and D) => 0.9 = 0.7 + 0.4 - p(J and D)
p(J and D) = 1.1 - 0.9 = 0.2
Thus, the probability that both Jun and Deron are hired is 0.2.</span>
If a point is randomly selected within the larger circle, the chance that it also lies within the smaller circle is 0.25. Step-by-step explanation: i) The area of the smaller circle is calculated as

=

. ii) The area of the larger circle is given by 
. iii) The likelihood that a randomly selected point from the larger circle also resides in the smaller circle is expressed as 
.
To resolve this kind of question, we need to analyze it on a yearly basis.
At the end of the first year, the tree would experience a growth of 2% = 102% of its initial height.
Year 1: 102% x 50 = 51 feet
Year 2: 103% x 51 = 52.02 feet
I hope this was helpful!! xx