Solve the lp problem. if no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. hint [see example 1.] (enter empty if the region is empty. enter unbounded if the function is unbounded.) maximize p = x − 2y subject to x + 4y ≤ 9 x − 5y ≤ 0 6x − 3y ≥ 0 x ≥ 0, y ≥ 0.

Answer:

[tex]\frac{1.98}{11+g}=\frac{12}{100}[/tex]

Step-by-step explanation:

Given,

Total quantity of solution = 11 gallons

Initial detergent in the solution = 18 % of 11 gallons

[tex]=\frac{18\times 11}{100}[/tex]

[tex]=\frac{198}{100}[/tex]

[tex]=1.98\text{ gallons}[/tex]

Now, here g represents the number of gallons of water she should add to make 12 % detergent solution,

Final quantity of solution = ( 11 + g ) gallons

Thus, we can write,

The part of detergent in (11+g) gallons of water = The final percentage of detergent

[tex]\frac{1.98}{11+g}=\frac{12}{100}[/tex]

Which is the required equation.

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

We are asked to find the value of k used to determine the coordinates of a point that partitions a segment into a ratio of 5:3.

The value of k would be 5 divided by the sum of 5 and 3.

[tex]k=\frac{5}{3+5}[/tex]

[tex]k=\frac{5}{8}[/tex]

Therefore, the value of k is [tex]\frac{5}{8}[/tex].

Answer:0.1587

Step-by-step explanation:

z = (x-μ)/σ

mean, μ= 15.2

standard deviation, σ = 0.9

To find the probability that x is greater than 16.1,

x = 16.1

z = (16.1-15.2)/0.9

= 1

Looking at the normal distribution table, the area covered by 0 to 1

=0.8413

Therefore, the probability that x is greater than 16.1, = 11- probability that x = 16.1

= 1-0.8413

= 0.1587

The answer is b because if you multiplied 0.42 and.4.73 that equals to   1.9866

Callie's error in evaluating the expression was due to incorrectly placing the decimal point in the product. The correct placement of the decimal results in the final answer: 1.9866. Callie should ensure correct placement of the decimal by counting the total decimal places in the original numbers.

Callie made an error when evaluating the expression 0.42 * 4.73 due to incorrectly placing the decimal.

Let's break down the correct steps:

Therefore, the correctly placed decimal in the product gives the final answer: 1.9866.

The most appropriate explanation for Callie's error is that she incorrectly placed the decimal.

Complete Question:- Callie evaluated the expression 0.42* 4.73 using the steps shown below. frac beginarrayr 042 * 473 126endarray 126 beginarrayr 2940 +18800 hline 19866endarray Which best explains Callie's error? Callie incorrectly placed the decimal. Callie multiplied incorrectly. Callie added incorrectly. Callie incorrectly used placeholder zeros.

Answer:The answer is D. 5.88kPa

Step-by-step explanation:

Answer:

Decompose the figure into two rectangles and add the areas.

Step-by-step explanation:

We can draw a vertical line segment from the smaller section of the rectangle straight down.  This would cut the rectangle into 2 smaller rectangles.  We can then find the area of each rectangle and add them to find the area of the composite figure.

The given equation can be converted into a system of equations by setting each side of the given equation to equal zero separately. The system of equations will then be x² - x + 2 = 0 and x² + 3x + 1 = 0.

The given equation, x²+3x+1=2x²+2x+3, can be set as a system of equations by getting each side of the equation to equal zero. Begin by subtracting the entire left-hand side of the equation from the right-hand side which gives us:

2x² + 2x + 3 - (x² + 3x + 1) = 0

This simplifies to x² - x + 2 = 0. That's your first equation.

Now, take the left-hand side of the original equation and set it equal to zero: x² + 3x + 1 = 0. That's your second equation. So the system of equations from the original equation are:

https://brainly.com/question/21620502

#SPJ3

Answer:

Answer is A plz mark me as branliest like u said

Step-by-step explanation:

Answer:

This function has two x-intercepts.

Step-by-step explanation:

The number of x-intercepts of a function is given by the number of REAL ROOTS of the function. A complex root does not intercept x.

In this function, we have

Two real roots: x = -2 and a x = 1

Two complex roots: x = -4 + 3i and x = -4 - 3i

So this function has two x-intercepts.

The neighbor needs to buy approximately 89.6 feet of fencing to surround her 500 square feet garden, which is a square. This is calculated by taking the square root of the area to find the length of one side and then multiplying by four to get the perimeter.

To determine how much fence the neighbor needs to buy to surround her square garden, we need to calculate the perimeter of the square. The area of a square is given by the formula Area = side × side or Area = side². Since the area is 500 square feet, we first find the length of one side of the square by taking the square root of the area:

Side = √Area = √500 ft²

The square root of 500 is approximately 22.4 feet. Now, we calculate the perimeter, which is the sum of all four sides of the square:

Perimeter = 4 × side = 4 × 22.4 ft = 89.6 ft

Rounded to the nearest tenth of a foot, the neighbor needs to buy approximately 89.6 feet of fencing to surround her garden.

A radius and an angle between 0 and 360 degrees are the two components needed to define a point on a circle in polar coordinates in trigonometry. The angle is the polar angle and the radius is the distance from the center of the circle to the point.

In mathematics, specifically in trigonometry, a radius and an angle measure between 0 and 360 degrees are the two key components needed to define a point on a circle in polar coordinates. The angle is known as the polar angle, often denoted as θ (theta), and the radius is the distance from the center of the circle to the point. For example, a point with a radius of 1 and an angle of 90 degrees would be located at the top of the circle, as the polar angle is measured counterclockwise from the positive x-axis.

https://brainly.com/question/36617145

#SPJ2