Answer:
See answers and explanations below (along with a visual graph)
Step-by-step explanation:
For the function 
:
Amplitude: 
Period: 
Phase shift: 
Vertical shift: 
Therefore, for 
:
Amplitude: 
, which is 2 units above and below the midline (see d)
Period: 
, so the cycle will repeat every 3π units
Phase shift: 
, or π units to the left
Vertical shift: 
, or 1 unit down
132 problems because...
there are six 30 minutes in 3 hours so you would multiply 22 with 6 to get 132
(22*6=132)
Answer:
The change is a decrease of $2700.
Step-by-step explanation:
Given
Total Number of people = 27
Amount each person withdrew = $100
The total withdrawn amount by 27 people = 100 × 27
= $2700
Let M be the amount of money in the ATM at the beginning.
As $2700 was drawn from the ATM, therefore, the change the amount of money in the machine will be:
It means the change is a decrease of $2700.
Answer:
Ignacio can make 5 clockwise rotations.
Step-by-step explanation:
Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:
4.8r + 49.3 < 74.5 where 'r' is equal to the number of rotations
The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch. Now, solve for 'r':
Subtract 49.3 from both sides: 4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2
Divide 4.8 from both sides: 4.8r/4.8 < 25.2/4.8 or r < 5.25
Since the number of rotations must be less than 5.25, he can make 5 complete rotations.
Answer:
The simplified form is,
Step-by-step explanation:
The given expression is,
