If an additional worker can produce an additional 20 units of output which can be sold for $4 per unit, what is the maximum wage that this perfectly competitive firm should pay to hire this worker?.

The coordinates of the midpoint of segment FG are (3,-1) which was found using midpoint formula.

When it comes to practical application, the midpoint formula is rather straightforward.

Step 1: Determine the line segment or the two ends.

Step 2: Determine their coordinates.

Step 3: Add the x coordinates of both ends and divide by 2.

Step 4: Adding the y coordinates of both endpoints, divide by 2, and complete the step.

Step 5: As you specify the coordinates of any point, write the values that were acquired in Steps 3 and 4.

Given: Endpoints of a line segment are F(2, -1) and G(-8, -1).

We need to find the coordinates of its midpoint.

Using midpoint formula,

(a,b) = (x₁ + x₂)/2,(y₁ + y₂)/2

       = (2-8)/2,(-1-1)/2

       = 3,-1

So, coordinates are (3,-1)

Therefore, the coordinates of the midpoint of segment FG are (3,-1) which was found using midpoint formula.

Learn more about midpoint formula here:

https://brainly.com/question/14687140

#SPJ1

150 cm

look at the beginning of the axis. it goes 140 to 160. then 160 to 170. it isnt in order. the missing mumber is 150

The amount in grams of food A and B she feeds this group of rats each day will be 2200003.84 gm and 1100006.4 gm respectively.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Given that, she provides a certain set of lab rats with a daily meal that contains exactly 32 units of niacin and 22000 units of retinol. She uses two different brands of industrial pellet food.

If food A has 100 units of retinol and 0,12 units of niacin per gram.Niacin 0.20 units and retinol 50 units are both included in Food B per gram. The grams of each food she feeds this group A of rats each day is,

=32×0.12+22000×100

=2200003.84 gm

If food B contains 0,20 units of niacin and 50 units of retinol per gram.The grams of each food she feeds this group A of rats each day is,

=32×0.20+22000×50

=1100006.4

Thus, the amount in grams of food A and B she feeds this group of rats each day will be 2200003.84 gm and 1100006.4 gm respectively.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

Applying the inscribed angle theorem, we have:

9. B. m∠ABC = 70°

10. F. m∠Z = 54°

11. According to the two-tangent theorem, x is: D. 8 m

An inscribed angle in a circle has a measure that is half of the measure of the intercepted arc, based on the inscribed angle theorem.

The two-tangent theorem states that if two tangents are drawn from a circle to meet at a point outside the circle, the two tangents are equal to each other.

9. Measure of arc AC = 360 - 120 - 100

Measure of arc AC = 140°

m∠ABC = 1/2(measure of arc AC) [inscribed angle theorem]

m∠ABC = 1/2(140)

m∠ABC = 70° [option B]

10. Arc XYZ = 2(m∠X) [inscribed angle theorem]

Arc XYZ = 2(126) = 252°

Arc WXY = 360 - arc XYZ

Arc WXY = 360 - 252

Arc WXY = 108°

m∠Z = 1/2(arc WXY) [inscribed angle theorem]

m∠Z = 1/2(108)

m∠Z = 54° [option F]

11. x = 10 - 2 [two-tangent theorem]

x = 8 m [option D]

Learn more about the inscribed angle theorem on:

https://brainly.com/question/3538263

#SPJ1

An equation to describe the relationship between g, the number of gems, and c, the number of chests is; g = 300c

In adventure A, when number of gems is 600, we see that number of chests is 2. Thus;

Rate of gems per chests = 600/2 = 300 g/c

In adventure B, when number of gems is 1500, we see that number of chests is 5. Thus;

Rate of gems per chests = 1500/5 = 300 g/c

In adventure C, when number of gems is 4800, we see that number of chests is 16. Thus;

Rate of gems per chests = 4800/16 = 300 g/c

Thus;

There is a constant rate and we can say that the equation that shows the relationship between the two variables is;

g = 300c

Read more about Linear Equation Word Problems at; https://brainly.com/question/20335698

#SPJ1

Complete question is;

Lulu the Lucky puts chests of gems into her treasure vault. Each chest holds the same number of gems. The table below shows the number of gems Lulu received from three different adventures and the number of chests she needed to hold the gems.

                      Number of gems(g)     Number of chests(c)

Adventure A    600                            2

Adventure B    1500                           5

Adventure C    4800                          16

Write an equation to describe the relationship between g, the number of gems, and c, the number of chests.

Note that because the graph is slightly deformed to the left, it is impossible to work out the exact bearing. Below, however, are steps on how to get the bearing of a map.

Calculate the angle clockwise from north to determine a bearing. Begin with the first site by drawing a vertical line symbolizing north. Draw a line from the starting point to the ending point. Calculate the clockwise angle formed by the north line and this line.

When measuring a bearing, three principles must be followed:

Note that a bearing is an angle in degrees calculated clockwise from north in mathematics. Bearings are often specified in three figures. 30° clockwise from north, for example, is generally represented as 030°.

Learn more about bearings:
https://brainly.com/question/16554301
#SPJ1

Answer:it will take him roughly 75 minutes or an hour and 15 minutes:)

Step-by-step explanation:

so you take 2 and multiply it by the 30 minuets and then divide 30 by 2 so it will look like this

2x30=60(1 hour)

30÷2=15

now add 60 + 15 and you get

75

Answer:

4x

Step-by-step explanation:

bcoz

y = 6 - 2x

6-2x = 4x

y=4x

The statement of Gabriella, “The graph will not have an inverse function.” is incorrect. Option B is correct.

Let us understand about the given graph:

The given graph is a graph of a cube root function.

So, the statement of Noelle, “The graph represents the function [tex]f(x)=\sqrt[3]{x}[/tex]." is correct.

So, option A is not correct.

The inverse of a cube root function is a cubic function.

So, the statement of Gabriella, “The graph will not have an inverse function.” is incorrect.

So, option B is correct.

The domain and range of the cube root function are all real numbers.

So, the statement of Julian, “The domain and range of the function is all real numbers.” is correct.

So, option C is not correct.

From the graph, we can see f(-1) = -1.

So, the statement of Yemen, “The value of f(-1) = -1.” is correct.

So, option D is not correct.

Thus, the statement of Gabriella, “The graph will not have an inverse function.” is incorrect. Option B is correct.

To learn more about the cube root function visit:

https://brainly.com/question/28212425

#SPJ1

Answer:

Have Dracula pay you $5

Step-by-step explanation:

This whole thing happened because Dracula was broke. If $5 is given to Dracula, he can give you back $5 so you can return 5$ to Frankenstein. Then Frankenstein can give $2 back to Dracula.

Answer:

Step-by-step explanation:

2y=-3x-5

y=-3/2x-5/2

Answer:

Y= -2.5

X= -1.6

Step-by-step explanation:

2y+3x= -5

2y+3(0)= -5

2y= -5

2y÷2=y

-5÷2= -2.5

Y=-2.5

2y+3x= -5

2(0)+3x= -5

3x= -5

3x÷3=x

-5÷3= -1.6

X= -1.6

Answer:

y>14/3

Step-by-step explanation:

Let's solve your inequality step-by-step.

8<3(y−2)

Step 1: Simplify both sides of the inequality.

8<3y−6

Step 2: Flip the equation.

3y−6>8

Step 3: Add 6 to both sides.

3y−6+6>8+6

3y>14

Step 4: Divide both sides by 3.

3y/3 > 14/3

Answer: y>14/3

Hope it helps!

Answer:

3.7 n^2 + 4n + 2.1

Step-by-step explanation:

2.7 n^2 + n^2 = 3.7 n^2

6n - 2n = 4n

7.8 - 5.7 = 2.1

Answer:

1

5z + 6z = 11z

2

9y + -6y = 3y

3

ANSWER ( 11z + 3y)

Answer:

1 2/3

Step-by-step explanation:

How much does 6 go into 10? Only 1 time so the whole number will be 1.

Next, subtract 6 from 10 and you get 4.

1 4/6 reduces to 1 2/3

Answer: 1 2/3 (pls give me brainiest not to be greedy but pls)

Step-by-step explanation:

Answer:

Opposite sides of a parallelogram are:

1. Congruent

2. Parallel

Step-by-step explanation:

Opposite parallel and congruent sides are the features of a parallelogram and are the criteria for a quadrilateral to be a parallelogram.

Answer:

-0.98

Step-by-step explanation:

Answer:-0.98

Step-by-step explanation:

The fraction that shows the number of hours Saide's dog sleeps every 4 hours in a day is 1/6.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

It should be noted that there are 24 hours in day. Since the dog sleeps for 4 hours in a day, the fraction will be:

= Number of hours slept / Total hours

= 4 / 24.

= 1/6

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Answer:

  8.75

Step-by-step explanation:

You want the greatest possible x-coordinate of point A such that for any point B on the y-axis between (-24) and 25, the segment AB has a common point with the line segment PQ, where P(5, -12), Q(5, 9).

If we designate the points on the y-axis as X(0, -24) and Y(0, 25), we find that point A must lie in the triangle bounded by lines XY, XP, and YQ. The x-coordinate of the point of intersection of lines XP and YQ will be the greatest x-coordinate that point A can have.

The line through points (x1, y1) and (x2, y2) can be written as ...

  (y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0

This equation is readily simplified to general form ax+by+c = 0.

Line XP

  (-12-(-24))(x -0) -(5-0)(y -(-24)) = 0

  12x -5y -120 = 0

Line YQ

  (9 -25)(x -0) -(5 -0)(y -(25)) = 0

  -16x -5y +125 = 0

We want the value of x that satisfies these equations. That can be found by subtracting the second equation from the first:

  (12 -5y -120) -(-16x -5y +125) = (0) -(0)

  28x -245 = 0

  x = 245/28 = 8.75

The greatest x-coordinate is x = 8.75.

The coordinates of the points dividing the line in 5:3 is (3/2, 3)

The section formula gives the coordinates of a point which divides the line joining two points in a ratio, internally or externally.

Given a line LM, passing through points  (-1,-2) and (3,6) a point is dividing it in a ratio of 5:3

According to section formula,

(x, y) = (5*3 - 3*1)/8, (5*6 - 3*2)/8

(x, y) = (3/2, 3)

Hence, The coordinates of the points dividing the line in 5:3 is (3/2, 3)

For more references on section formula, click;

https://brainly.com/question/11888968

#SPJ1

The time elapsed, to the nearest minute, until only 2 grams of the element remains is 15 minutes.

We have an element. The element has a mass of 400 grams. The element decays by 29.8% per minute. We need to find the time duration after which there will be only 2 grams of the element remaining. Let the initial mass of the element, the final mass of the element, the rate of decay, and the time elapsed be represented by the variables m, M, r, and t. We can write the equation as given below.

M = m(1 - r)^t

2 = 400(1 - 0.298)^t

0.005 = (0.702)^t

log(0.005) = t*log(0.702)

t = log(0.005)/log(0.702)

t = 14.97

The time taken, to the nearest minute, is 15 minutes.

To learn more about time, visit :

https://brainly.com/question/28050940

#SPJ1

Answer:

Step-by-step explanation:

314 inches  *  (1 foot / 12 inches) * ( 1 meter / 3.28084 foot) * ( 1 kilometer / 1000 meter)

0.0079755997 Km

Answer:

===========================

Answer:

Step-by-step explanation:

Forming the equation,

→ 2x + 3 = -3x + 3

Now the value of x will be,

→ 2x + 3 = -3x + 3

→ 2x + 3x = 3 - 3

→ 5x = 0

→ x = 0/5

→ [ x = 0 ]

Then the value of y will be,

→ y = -3x + 3

→ y = -3(0) + 3

→ y = 0 + 3

→ [ y = 3 ]

Hence, the value of y is 3.

Answer:

B

Step-by-step explanation:

[tex]\frac{1}{5}[/tex] b - 5( [tex]\frac{2}{5}[/tex] a - [tex]\frac{1}{10}[/tex] b ) + 4a ← distribute parenthesis by - 5

[tex]\frac{1}{5}[/tex] b - 2a + [tex]\frac{1}{2}[/tex] b + 4a ← collect like terms

= 2a + [tex]\frac{1}{5}[/tex] b + [tex]\frac{1}{2}[/tex] b ( express fractions with a common denominator of 10 )

= 2a + [tex]\frac{2}{10}[/tex] b + [tex]\frac{5}{10}[/tex] b

= 2a + [tex]\frac{7}{10}[/tex] b

Answer:

Step-by-step explanation:

1=88

2=42

3=42+25+x=180

3=180-67

well, we had a cylinder with 7mL of water, in the rock goes and kaboom the volume for the cylinder and its contents is 9 mL, well, the displaced water from the rock is equivalent to its volume, as Archimedes would properly point out, so since it was 7mL and now is 9mL well, the extra 2mL is the volume of the rock :).

sidenote:  Archimedes is Da Bomb!!!!

now, we know the rock weights 24 grams, and we also know its volume is 2mL, so its density is simply g/mL, or [tex]\cfrac{24g}{2mL}\implies 12~\frac{g}{mL}[/tex]

Answer:

x=22

Step-by-step explanation:

5x+6+3x-2=180

8x+4=180

8x=176

x=22

Answer: