Answer:
Minimum value of is 80 at (1.5,2.5)
Step-by-step explanation:
We are given
The objective function is, Minimize
With the constraints as,
So, upon plotting the constraints, we see that,
The boundary points of the solution region are,
(1,5), (1.5,2.5) and (4,2).
So, the minimum values at these points are,
Points
(1,5) i.e. p = 140
(1.5,2.5) i.e. p= 80
(4,2) i.e. p = 92
Thus, the minimum value of is 80 at (1.5,2.5).
X
(-1,-5)
What is the y-intercept of this graphed line?
PLEASE HELP!!!!!!
To find the y-intercept of the given linear function, first, the slope of the function is calculated using the provided points. Then, the slope and one pair of coordinates are substituted into the y = mx + b equation to solve for 'b', which is the y-intercept.
In mathematics, specifically in the context of linear functions, the y-intercept is the point at which the line crosses the y-axis. From the provided points, however, it's not immediately clear what the y-intercept is.
To find the y-intercept, we need to determine the line's equation first. The equation of a line can be represented in the form y = mx + b, where 'm' is the slope of the line and 'b' is the y-intercept. To find the slope, we use the formula (y2 - y1) / (x2 - x1), substituting the given points. After calculating the slope, we can plug one pair of the given coordinates into the equation y = mx + b, and solve for 'b', which gives us the y-intercept.
#SPJ3
Answer: Density = 0.23 tons per cubic meter.
Step-by-step explanation:
Formula :
1 ton = 32000 ounces
⇒ 1 ounce = 0.00003125 ton
⇒ 7 ounces = 7(0.00003125)= 0.00021875 ton
1 gallon = 0.00378541 cubic meter
2.5 gallons = 0.009475 cubic meter
Density=
Hence, Density = 0.23 tons per cubic meter.
Answer:
0.02 tons per cubic meter
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If then we can consider right triangle with adjacent leg 4 un. and opposite leg 3 un.. By the Pythagorean theorem,
So,
Answer:
The correct answer is option d
Step-by-step explanation:
Trigonometric ratio
Cot θ = Adjacent side/Opposite side
It is given that,
Cot θ = 4/3
Adjacent side = 4
Opposite side = 3
Csc θ = Hypotenuse/Opposite side
To find the Hypotenuse
Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²
Hypotenuse = √(3²+ 4²) = 5
To find Csc θ
Csc θ = Hypotenuse/Opposite side = 5/3
The correct answer is option d
Csc θ = 5/3