An electric filter purifies air at the rate of 35 liters per minute and uses energy at the rate of 0.8 Joules per minute. It also purifies water at the rate of 25
liters per minute and uses energy at the rate of 1.3
Joules per minute.
The filter is expected to purify more than
1000 liters of air and water while using less than 170 Joules of energy.

Let A denote the number of minutes it spends purifying air and W
the number of minutes it spends purifying water.

Write an inequality that represents the condition based on the number of liters of air. Write an inequality that represents the condition based on the number of Joules of energy. d water.

linear

step-by-step explanation:

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58