The answer is C! Have a great day!
Answer:

Step-by-step explanation:
The equations of the system are



From the graph it can be seen that points
and
falls in the bounded region.
The income will be


So, the person can do 3 small jobs and build 1 and a half cabinets per day.
The maximum income will be
.
Answer:
Step-by-step explanation:
(5^3/2)^-2/3 = 0.2 ⇒ E
(256^0.5)^1.25 = 32 ⇒ C
(81^1/6)^3/2 = 3 ⇒ F
(1024^0.03)^20 = 64 ⇒ D
(1000^4/7)^7/3 = 10,000 ⇒ B
(49^5/2)^0.2 = 7 ⇒ A
Step-by-step explanation:
* Lets explain how to solve the problem
- If we have base x to a power n and all to the power of m then we
multiply the two powers to be one power on the base
- [(x^n)^m] = x^(nm)
* Lets solve the problem
∵
∴ (5^3/2)^-2/3 = 0.2 ⇒ E
∵
∵ 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2^8
∴
∴ (256^0.5)^1.25 = 32 ⇒ C
∵
∵ 81 = 3 × 3 × 3 × 3 = 3^4
∴
∴ (81^1/6)^3/2 = 3 ⇒ F (answer F must be 3 not 0.333)
∵
∵ 1024 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2^10
∴
∴ (1024^0.03)^20 = 64 ⇒ D
∵
∵ 1000 = 10 × 10 × 10 = 10³
∴
∴ (1000^4/7)^7/3 = 10,000 ⇒ B
∵
∴ (49^5/2)^0.2 = 7 ⇒ A
The number of days in which the air quality index exceed 100 in the year 1988 is 75 days. Then the correct option is B.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The air quality index (AQI) is given by the function.

Where n be the number of days the AQI exceeds 100 in a given year.
For
, then we have

More about the function link is given below.
brainly.com/question/5245372
<span>100 is the correct answer.</span>