Please I need help I mark brainless!! The population of a certain city increased by 18,000 people.
Write a signed number to represent this population change.

Given:

The objective function, [tex]C=2x+3y[/tex],

Constraints,

[tex]2x+3y\leq 24[/tex]

[tex]3x+y\leq 15[/tex]

[tex]x\geq 2[/tex]

[tex]y\geq 3[/tex]

To find:

The minimum value of the given objective function.

Solution:

We have,

Objective function, [tex]C=2x+3y[/tex]            ....(i)

The related equations of given constraints are

[tex]2x+3y=24[/tex]       ...(ii)

[tex]3x+y=15[/tex]              ...(iii)

[tex]x=2[/tex], it is a vertical line parallel to y-axis and 2 units left from y-axis.

[tex]y=3[/tex], it is a horizontal line parallel to x-axis and 4 units above from y-axis.

Table of value for (i),

x :   0     12

y :   8     0

Table of value for (ii),

x :   0      5

y :   15     0

Plot these points on a coordinate plane and draw these 4 related lines.

The sign of inequality of [tex]2x+3y\leq 24[/tex] and [tex]3x+y\leq 15[/tex] is ≤, it means the related lines are solid lines and the shaded region lie below the related line.

For [tex]x\geq 2[/tex], left side of the line [tex]x=2[/tex] is shaded.

For [tex]y\geq 3[/tex], shaded region is above the line [tex]y=3[/tex].

From the below graph it is clear that the vertices of the feasible (common shaded region) are (2,3), (4,3), (3,6) and (2,6.667).

Points                     [tex]C=2x+3y[/tex]    

(2,3)                        [tex]C=2(2)+3(3)=4+9=13[/tex]    (Minimum)

(4,3)                        [tex]C=2(4)+3(3)=8+9=17[/tex]    

(3,6)                        [tex]C=2(3)+3(6)=6+18=24[/tex]    

(2,6.667)                 [tex]C=2(2)+3(6.667)=4+20=24[/tex]

Therefore, the objective function is minimum at point (2,3).

Answer:

The answer is A

Step-by-step explanation:

Answer:

The answer would be C

Step-by-step explanation:

The reason it is C, is because, if you add 13 to 3, you would get 16. Then, by dividing that by 2, you would get the desired answer of 8.

Answer:

c

Step-by-step explanation:

I just know because I worked it out on paper

Answer:

4

Step-by-step explanation:

12 feet divided by 3 hours is 4

Answer:

4 feet per hour

Step-by-step explanation:

12 feet in 3 hours

12/3 = 4

4 feet in 1 hour

Answer:

73

Step-by-step explanation:

yes it is 73dddfmsmxk

Answer:

a = 16

w = 125

x = 120

y = 55

Step-by-step explanation:

FINDING 'a'

31 = a + 46 / 2

62 = a + 46

16 = a

FINDING 'w'

* This section looks Non-Isosceles trapezoid so I will be following the rule according it

w + 55 = 180

w = 125

FINDING 'y'

y = 55

- Because of corresponding angles

FINDING 'x'

* In this case it looks like we are still dealing w/ an non-isosceles trapezoid.

x + 60 = 180

x = 120

Hope this helped ^^

(Please inform me of any mistakes or misunderstandings!)

Answer: all my caculations are leading me to B

Answer:

I think its either C or D. Hope this helps, give brainliest if correct!

Answer:

5/3

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

Answer:

Option D

Step-by-step explanation:

Answer:

[tex]Scale\ Factor = \frac{1}{2}[/tex]

ABC dilated

Step-by-step explanation:

Given

Triangles ABC and DEF

Required

Determine the scale of dilation

First, we pick a side on ABC

[tex]AB = 6[/tex]

Pick a corresponding side on DEF

[tex]DE = 3[/tex]

The scale factor is then calculated as:

[tex]Scale\ Factor = \frac{DE}{AB}[/tex]

[tex]Scale\ Factor = \frac{1}{2}[/tex]

i.e. ABC was dilated by 1/2

Answer:

4 : 39

5 : 52

6 : 67

7 : 77

Step-by-step explanation:

The scale factor of the drawing is 200.

The first step to take when looking for the scale factor of a drawing is to ensure both measurements are on the same unit.

Given a scale for a drawing to be:  1 mm: 20 cm

1 cm = 10 m

Therefore:

20 cm = 200 mm

Scale factor = 200/1 = 200.

Therefore, the scale factor of the drawing is 200.

Learn more about scale factor on:

https://brainly.com/question/2826496

Answer:

32

Step-by-step explanation:

first multiply 6×1.

1/2×(6×7)+11

Then multiply 6×7

1/2×42+11

Third you multiply 1/2 and 42

1/2×42= 21

finally you add together 21+11

21+11= 32

Answer: 47.06

Step-by-step explanation: math

I believe the answer is 1in

Answer: I said 1 inch. I am not 100% sure.

Step-by-step explanation:

Answer:the answer is A: (0,80)

Step-by-step explanation:

This question is incomplete, the complete question is;

For integers a, b and k, we know that a > 12, b < 20 and a < b. If b=7k, what is the value of k ?

Answer: the value of k = 2

Step-by-step explanation:

Given that;

a > 12

b < 20

a < b

If b = 7k

Now if k = 1      {b = 7k = 7}

b would be equal to 7 but b has to be greater than 20

IT CANT BE

if k = 2        { b = 7k = 14}

b would be equal to 14, a is greater than 12, b has to be less than b; 14 < 20,

a has to be less than than b ( 12 < 14 )

IT IS

if k = 3      {b = 7k = 21}  

b would be equal to 21, so b is greater than 20 and a is less than 21

IT CANT BE

Therefore the value of k = 2

Answer:

X=0 {multiplicity of 1}

X=2 {multiplicity of 1}

X=7/3 {multiplicity of 1}

Step-by-step explanation:

Answer:

d. 770

Step-by-step explanation:

35 gallons per min

after 12 mins there is 350 gallons of water

35 x 12 = 420

how much water was in the tank BEFORE the valve was opened

350 + 420 = 770

Answer:

3

−

5

+

4

+

5

=

1

4

0

3d{\color{#c92786}{-5}}+4d+{\color{#c92786}{5}}=140

3d−5+4d+5=140

3

+

4

=

1

4

0

3d+4d=140

3d+4d=140

2

Combine like terms

3

+

4

=

1

4

0

{\color{#c92786}{3d}}+{\color{#c92786}{4d}}=140

3d+4d=140

7

=

1

4

0

{\color{#c92786}{7d}}=140

7d=140

3

Divide both sides of the equation by the same term

7

=

1

4

0

7d=140

7d=140

7

7

=

1

4

0

7

\frac{7d}{{\color{#c92786}{7}}}=\frac{140}{{\color{#c92786}{7}}}

77d​=7140​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

2

0

d=20

d=20

Solution

=

2

0

hope it help

Step-by-step explanation:

Answer:

the answer is 20

Step-by-step explanation: combine like terms

7d = 140

then divide

140/7

20

Answer: I believe the answer is 2,3, and 4. If not, then it is just 2 and 4.

Step-by-step explanation:

Answer:

The answer is 37

Answer: the awnser is B

Answer:

-1.4

Step-by-step explanation:

There are five increments between -2 and -1, so we find the difference between -2 and -1, which is 1. Divide 1 by five (increments)=.2

This means that every increment is worth 0.2.

If we see it from the left to right, from -2, there are 3 increments to the right, so multiply three by 0.2 which is 0.6, add 0.6 to -2, which is -1.4.

Hope this helps!

Answer:  The answer is 50.24 SQAURE INCHES.

Step-by-step explanation: So this circle is even. 8 up and down. * to the right and left. Now the area needs to be found. If the diameter is 8 inches, your answer should be 50.24 SQUARE INCHES.

Answer:

Right triangle

Step-by-step explanation:

[tex] {5}^{2} + {(5 \sqrt{3} )}^{2} = 25 + 75 = 100 \\ \\ {10}^{2} = 100 \\ \\ \implies \: {5}^{2} + {(5 \sqrt{3} )}^{2} = {10}^{2} \\ [/tex]

So, by converse of Pythagoras theorem given side lengths form a right triangle

Answer:

Right

Step-by-step explanation:

The side lengths are 5, 5√3, and 10. This tells me this is a 30° 60° 90° triangle. In a 30° 60° 90° triangle, the relationship between the side lengths are a, a√3, and 2a. a represents the side length of the first leg of the triangle. a√3 represents the second side length, which is the first leg's side length multiplied by √3. Finally, 2a represents the hypotenuse which is two times bigger than the first leg's side length.

Aneser:

+98

Step-by-step explanation:

when you are adding something to something to something else u put a plus sign to add it hope this helps