They are essentially asking us to solve:

Solving this equation for x tells us that it will take around 80.1 years for the materials in the vault to reduce to 357 pounds.
Answer:
3
Step-by-step explanation:
Remember the order of operations using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). So, you get 18 - 6 / 5-1 = 12/4 = 3
Step-by-step explanation:
8^x= 64
8²= 64
In logarithmic form,
log(base 8) 64= 2
Answer:
<em>58.7 ft/sec</em>
Step-by-step explanation:
The train traveled half a mile.
1 mile = 5280 ft
0.5 mile = 0.5 * 5280 ft = 2640 ft
A time from 10 sec to 55 sec is 55 sec - 10 sec = 45 seconds.
2640 ft in 45 seconds
speed = distance/time
speed = 2640 ft / 45 sec = 58.6666... ft/sec
Answer: speed = 58.7 ft/sec
The value of the 24th term is 16.
<h3>Arithmetic progression:</h3>
where
a = first term
d = common difference
n = number of terms
Therefore,
6 = a + 3d
8 = a + 7d
let's find a and d
2 = 4d
d = 2 / 4
d = 1 / 2
6 = a + 3 / 2
a = 6 - 3 /2
a = 4.5
Therefore, the 24th term can be found as follows;
24th term = 4.5 + 23(0.5)
24th term = 4.5 + 11.5
24th term = 16
learn more on arithmetic progression here; brainly.com/question/9882454