Divide both sides by 5
e^x=3.152 take the natural log of both sides...
x=ln(3.152)
x≈1.148
Answer:
A. You may set the variables in either order. But for argument sake, let's set as follows:
x = Amount of bookshelves
y = Amount of tables
B. Because of the amount of things you need to make, the following is an inequality using those variables.
x + y > 25
Plus you can determine a second inequality based on the amount of money that you have to spend.
20x + 45y < 675
Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.
C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.
(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding.
Step-by-step explanation: Good luck and hope this helps :)
18/7 or 2 4/7 bc 3/7 times 6 is 18/7 or 2 and 4/7
Answer: 
<u>Step-by-step explanation:</u>
Note the following identities: tan² x = sec²x - 1

tan² x + sec x = 1
(sec² x -1) + sec x = 1
sec² x + sec x - 2 = 0
(sec x + 2)(sec x - 1) = 0
sec x + 2 = 0 sec x - 1 = 0
sec x = -2 sec x = 1

Given:
The train has 6 passenger cars
Each car has 4 columns
And 1 column hold 50 passengers
So, total of seats will be = 6 * 4 * 50 = 1200
Now, there are 25 empty seats,
therefore the correct equation will be :
Number of seats per car: 4 × 50 = 200
Total number of seats: 200 × 6 = 1,200
Number of passengers: 1,200 − 25 = p