Answer:

Step-by-step explanation:
y = log (tan 2x)
Applying chain rule:


Now since 
∴
∴ 
Answer: 233 min
Step-by-step explanation:
This problem can be solved by the following equation:
(1)
Where:
is the quantity left after time 
is the initial quantity
is the time elapsed
is the constant of decay for the material
So, firstly we need to find the value of
from (1) in order to move to the next part of the problem:
(2)
Applying natural logarithm on both sides of the equation:
(3)
(4)
(5)
(6)
(7) Now that we have the value of
we can solve the other part of this problem: Find the time
for
.
In this case we need to isolate
from (1):
(8)
(9)
Finally:
Answer:
The additive inverse of -61 is 61. For additive inverse just reverse the sign.
Answer:
a) 17
b) 45
Step-by-step explanation:
a)
use pemdas first,
= 4
3x4 = 12
1x4 = 4
now the equation is 
9+12 = 21
that makes the equation 21-4
21-4 = 17
a) 17
now for b
b)
the equation would then be 
so youd use pemdas as always
start in the parenthases
= 4
4-1 = 3
the equation is now 
now, multiply 3x3x4
3x3 = 9
9x4 = 36
now the equation is 9+36
9+36 is 45
b) 45
hope this helped!
Question:
Sam is delivering two refrigerators that each weigh 105 kilograms. There is an
elevator with a weight limit of 1,000 pounds. Can he take both refrigerators on the
elevator in one trip? (1 kilogram 2.2 pounds)
Answer: yes he can
Step-by-step explanation:
Yes he can.
He can if the total weight of the 2 refrigerator didn't exceed the weight limit of the elevator.
Therefore:
Since 1 refrigerator weigh 105kg
2 refrigerator = 2 x 105kg = 210kg
The weight limit of the elevator 1000pounds convert to kg.
Since
2.2 pounds = 1kg
1000 pounds = 1000/2.2 kg
=454.55kg
Weight limit of the elevator = 454.55kg.
Since Weight of the 2 refrigerator is less than
weight limit of the elevator, he can take both refrigerators on the elevator in one trip