The Coal Utility Company is burning coal to produce electricity. The following cost function illustrates the cost in dollars (C) of removing t% of the hazardous toxins generated from burning coal. What happens to the cost as t approaches 100?
C= 55,000t/100-t for 0 ≤ t < 100

A The cost continues to increase.
B The cost continues to decrease.
C The cost approaches $0.
D The cost approaches $55,000.

Answers

Answer 1

Answer:

the cost continues to increase

Step-by-step explanation:

Answer 2

the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.

To determine what happens to the cost (C) as t approaches 100%, we can take the limit of the cost function as t approaches 100.

The cost function is given as: [tex]\[ C = \frac{55,000t}{100 - t} \][/tex]

Now, let's find the limit of C as t approaches 100:[tex]\[ \lim_{{t \to 100}} C = \lim_{{t \to 100}} \frac{55,000t}{100 - t} \][/tex]

To find this limit, we can use direct substitution:[tex]\[ \lim_{{t \to 100}} \frac{55,000 \times 100}{100 - 100} = \lim_{{t \to 100}} \frac{5,500,000}{0} \][/tex]

Since the denominator approaches 0 as t approaches 100, the limit is undefined (infinite).

Therefore, the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.

To know more about infinity:

https://brainly.com/question/31331496

#SPJ3


Related Questions

Please help I’ll mark brainlist

Answers

Answer:

⚪ 4: three right triangles and one acute-angled triangle.

Step-by-step explanation:

[tex].[/tex]

Answer: 3 right triangles and one acute triangle

Find the greatest commonFoctor for these
numbers 18, 42, 96​

Answers

Answer:

The greatest common factor for 18,42 and 96 is 6.

Step-by-step explanation:

6 X 3 = 18

6 X 7 = 42

6 X 16 = 96  

making 6 your largest common factor.

Expand and simplify 5)3x+2)-2(4x-1)

Answers

Answer:

It is 7x + 12

Step-by-step explanation:

[tex]5(3x + 2) - 2(4x - 1)[/tex]

open brackets:

[tex] = 15x + 10 - 8x + 2[/tex]

group like terms together:

[tex] = (15x - 8x) + (10 + 2)[/tex]

factorise out x :

[tex] = x(15 - 8) + 12 \\ = 7x + 12[/tex]

What is Slope=2, y-intercept =5

Answers

y = 2x + 5

x= -3 , y= -11x= -2 , y= -9x= -1 ,  y= -7x=  0 , y= 5x=  1 ,  y= 7x=  2 , y= 9x=  3 , y= 13

The area of triangle ABC is
square units.

Answers

Answer: Area = 17.5 unit²

Concept:

Here, we need to know how to calculate the area of a triangle.

Area (triangle) = b · h · (1/2)

b = base

h = height

Solve:

Given information (By counting grids on the graph)

b (AB) = 7

h (BC) = 5

Given expression

Area = b · h · (1/2)

Substitute values into the expression

Area = (7) · (5) · (1/2)

Simplify by multiplication

Area = (35) · (1/2)

Area = [tex]\boxed{17.5}[/tex]

Hope this helps!! :)

Please let me know if you have any quesitons

What statement is true about these two triangles?

Answers

Answer:

Step-by-step explanation:

c

In the following statement, change the percent to a reduced fraction. Then diagram the statement and answer the questions.
Twenty-five percent of three dozen plants are blooming.
a. What fraction of the total number of plants are not blooming?
b. How many plants are not blooming?

Answers

Answer:

a. 3/4  b. 27

Step-by-step explanation:

We know 25% percent are blooming, since 100-25 = 75, 75% aren't blooming.

Since 1 / 4 = 0.25, 3/4 = 0.75, so for question a. 3/4 of the plants aren't blooming.

For question b, we know there are three dozen plants, which is 3 * 12 = 36 plants.

75% of 36 = 36 * 0.75 = 27 plants aren't blooming.

find the cube root of 5832​

Answers

Answer:

18

hope it helps

The equation of a line in the point-slope form is show below. 4 – 9 = (x – 2) What is the slope of this line?​

Answers

Answer:

undefined

Step-by-step explanation:

4 - 9 = x - 2

-5 = x - 2

-3 = x

this is a vertical line (parallel to the y-axis) at x = -3.

that means the slope of this line is "undefined". or some would call it "infinite".

as the slope is the ratio of y/x describing how many units y changes, when x changes a certain amount of units.

now the change of x for this line is constant 0.

so, we have a slope y/0, which is undefined.

Genese Girer Gervis just hard the gossip about the latest scandal. He wants to make sure his fifteen buddies leam the gorp as quickly as possible. All the gossiping must take place by telephone, and every telephone conversation lasts an hour. How long will it take for all of Gervis's buddies to learn about the scandal?​

Answers

15 hours right? If I’m correct at least correct me if I’m incorrect.

The first person to answer this correctly gets Branilist!

Answers

Step-by-step explanation:

1)8x-2x=35-17

6x=18

x=18/6

x=3

2)7k-2k=-37-8

5k=-45

k=-45/5

k=-9

3)m-9m=-13-3

-8m=-16

8m=16

m=16/8

m=2

4)-4y+3y=12-6

-y=6

y=-6

5)6a-2a=-40

4a=-40

a=-40/4

a=-10

6)5w+2w=55+29

7w=84

w=84/7

w=12

7)5p-13p=-43+11

-8p=-32

8p=32

p=32/8

p=4

8)-c-5c=-2+50

-6c=48

c=-48/6

c=-8

Hi guy.

8x+17= 2x+35
-2x + 8x = -17 + 35
6x = 18
x = *3*


7k+8 = 2k-37
-2k + 7k = -8+-37
5k = -45
K = *-9*


m+3 = 9m-13
-9m + m = 13+3
-8m = 16
m = *-2*

-4y+6 = -3y+12
-4y + 3y = -6 + 12
-y = 6
y = *-6*

6a+40 = 2a
-2a + 6a = 40
4a = 40
a = *10*

5w-29 = 55-2w
2w + 5w = 29 + 55
7w = 84
w = *12*

5p-11 = 13p-43
-13p +5p = 11+43
-8p = 56
p= -7*

-50-c = 5c-2
+c + 5c = 2+-50
6c= -48

C = -8


I hope I can help. By the way I'm from turkey ❤️

can someone help me with this ?

Answers

Answer:

The answer is 14.28cm

Which describes the process that could be used as the first step in solving this equation? 6x = 4 + 5(x + 8) A) Combine like terms by adding 4 + 5. B) Use distributive property to multiply 5(x + 8). C) Use division property of equality to divide both sides of the equation by 6. D) Use subtraction property of equality to subtract 6x from both sides of the equation.

Answers

Answer: B) Use distributive property to multiply 5(x + 8).

Step-by-step explanation:

trust me its right

The first step in solving this equation 6x = 4 + 5(x + 8) is,

⇒ Use distributive property to multiply 5(x + 8).

Option B is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 6x = 4 + 5(x + 8)

Now, We can solve the expression as;

⇒ 6x = 4 + 5(x + 8)

⇒ 6x = 4 + 5x + 40

⇒ 6x - 5x = 44

⇒ x = 44

Thus, The first step in solving this equation is,

⇒ Use distributive property to multiply 5(x + 8).

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

log(12), round to the nearest thousandths?​

Answers

Answer:

1.079.

Step-by-step explanation:

Use ur calculator.

find the complement of the B in universe U. U is the set of natural numbers less than or equal to 8. B is the set of even factors of 8.

Answers

Answer:

{1,3,5,6,7,8}

Step-by-step explanation:

U={1,2,3,4,5,6,7,8}

B={2,4}

B is even factors so you won't start with one

The complement of set B will be {1, 3, 5, 6, 7}

A set is an arrangement or collection of numbers. Given the universal sets:

Natural numbers are positive integers starting from 1. Hence the universal set will be:

U = {1, 2, 3, 4, 5, 6, 7, 8}

Factors of 8 are 1, 2, 4 and 8

Set of even factors of 8 will be 2, 4 and 8

B = {2, 4, 8}

Compliment of a set B are sets that are in the universal set but not in set B. Hence the complement of B will be {1, 3, 5, 6, 7}

Learn more here: https://brainly.com/question/18203375

how do you find x the problem is 9x = -22

Answers

Answer:

x = -22/9 or, x = -2.44 in decimal form

Step-by-step explanation:

9x = -22

/9      /9      (divide both sides by 9)

-------------

x = -22/9     (when converted to decimal form, you get x = -2.44)

Solve the following complex equation

18+22i=3x-2yi

Answers

Answer:

[tex]this \: a \: complex \: equation \: so \: compare \\ \: real \: term \: and \: imaginary \: term \\ so \\ 18 = 3x \: \: and \: 22i = - 2yi \\ x = \frac{18}{3} \: \: \: \: and \: y = \frac{22i}{ - 2i} \\ x = 6 \: \: \: y = - 11 \\ then \: 6 \times 3 - - 2 \times 11i \\ = 18 + 22i \\ thank \: you[/tex]

What is the sum of a rational number but a product of an irrational one.

Answers

I'm going to only focus on part B

If 'a' and 'b' are rational numbers, then

a = p/qb = r/s

where p,q,r,s are integers. Also, q and s are nonzero. In fact, this context would make sense to also have p and r to be nonzero as well.

The perimeter of this rectangle is

P = 2*(length+width)

P = 2*(a+b)

P = 2*(p/q + r/s)

P = 2*(ps/qs + qr/qs)

P = 2*( (ps+qr)/qs )

P = (2ps+2qr)/qs

P = integer/integer = some rational number

We see that the perimeter P is rational if and only if 'a' and 'b' are rational.

From this, notice that the area is

area = length*width = a*b = (p/q)*(r/s) = (pr)/(qs)

Showing that the area is also rational.

If we wanted the area to be irrational, then we'd have to have either 'a' and/or 'b' irrational; this would then make the perimeter irrational as well. This contradiction is sufficient to show that case B is not possible.

There is no way to have a rational perimeter but an irrational area.

A set of Numbers is shown below.

Answers

Answer: A

Step-by-step explanation:

1458 smallest whole number by which it should be multiplied so as to get a perfect square number.also find the square root of the square number obtained

Answers

9514 1404 393

Answer:

254

Step-by-step explanation:

The prime factorization of 1458 is ...

  1458 = 2·3^6

The exponent of 3 is even, but we need another factor of 2 to make the exponent of that factor even. You will get a perfect square by multiplying by 2.

  √(2·1458) = √2916 = 54

Multiplying by 2 will give the square of 54.

please answer this correctly dont answer it wrong please:):):):)

Answers

Answer:

the difference is £0.3 because I have calculated 25% of £1.20 and got£0.3 meaning the Doughnuts at the second shop costs £1.5 which is the sum of 25% of £1.2 and £1.2 and the difference between£1.5 and £1.2 is £0.3

1) (3x-5)^2
2) (3xy-1/3)^2

Answers

1)

=(3x)² - 2 × 3x × 5+5²

=3²x²2 × 3x × 5+5²

=9x² -2 × 3x × 5 + 5²

=9x² -2 x 3x x 5 + 25

=9x²30x + 25

Plz answer this is very important

Answers

P=2₶R
P=2*3.14*19cm = 119.38cm
Circumference of a circle=2πr
2×π×19=38π≈119.38≈119.4
Hope my answer helped u :)

Please Help I really need this to not get behind in my math class.

I would award more points but I fear people are just gonna answer with no actual answer and just for points….

Answers

Answer:

1. 12x+19

2.11x+16

3.54

4.3x+5x+8

Step-by-step explanation:

I first wrote the question and grouped like terms.So after grouping these you will get x+2x+8x +x +7 + 2+10 .When you simplify you wil get 12x+19 . If you don't understand comment me

3a + 2b = 17, b = 4a - 30

Answers

Hope it helps !!!!!!

Find the perimeter in units of a polygon with the given vertices (4,-3),(7,10)(-8,2)

Answers

Answer:

take the length of each side, and multiply it by the number of sides I'm not sure why you have coordinates

Step-by-step explanation:

35n^2+371n+882. Factor

Answers

Answer:

7(x+7)(5x+18)

Step-by-step explanation:

Answer:

factors are (5n + 8)(n + 7)

Step-by-step explanation:

[tex] {35n}^{2} + 371n + 882 \\{ \sf{sum = \frac{371}{35} \: and \: product = \frac{882}{35} }} \\ factors= (5n + 8)(n + 7)[/tex]

Help please. Domain ASAP

Answers

Answer:

x ≥ -1

Step-by-step explanation:

The domain is all the possible x-values of the function.

Reading from left to right, the first x-value is x = -1 (which is included because the dot is filled in.) From there, the graph goes to the right, towards infinity.

So x is greater than or equal to -1.

x ≥ -1

I AM SO CONFUSED HELP PLS​

Answers

Answer:

x goes up 1 and f(x) is subtracting 3

What is the solution to this system of equations using the linear combination method?

Please help!!

Answers

Answer:

x= -3, y= 13

Step-by-step explanation:

The idea is that x and y in both equations are the same numbers and that the equations are like rules that need to be followed both in the same time.

We take the y from one equation and use it in the other equation because is the same y .

3x+y =4 , subtract 3x from both sides

y=  -3x+4

2x+y =7 , substitute y with the y = -3x+4 from the first equation

2x -3x+4 = 7, subtract 4 from both sides

2x-3x = 7-4, combine like terms

-x = 3  so x = -3

We know that x= -3 so we can substitute it in y= -3x+4 to find y

y=  -3x+4

y= -3 (-3) +4

y= 9+4 = 13

y= 13

Other Questions
I need help on #5 please and thank you 1016. There are 36 tables set up for the graduation reception. Each table is8 feet long. The tables will be covered with paper tablecloths that extendan extra 3 inches over each end (so they can be taped underneath). Whatis the total length of paper needed to cover all the tables? Mrs. Perez has 28 students and 5/7of those students participate in school sports. How many of Mrs. Perez'sstudents participate in school sports?To solve this problem, use multiplicatioof Mrs. Perez's students participate in school sports. Given (x - 1)2 = 50, select the values of x.X = -49x = 51x = 1+5./x = 1-5V Find the perimeter of the following figures and circle the figure with the greatest perimeter In the single replacement reaction between magnesium and HCl what reaction resulted from inserting the lit splint into the test tube mouth ? Three of the following statements are fused sentences. Choose the one correctlypunctuated statement that is not a fused sentence.Select one:O a. The average 2016 university graduate has almost $40,000 in student loandebt consequently lawmakers are discussing how to make higher educationmore affordable.Ob. The average 2016 university graduate has almost $40,000 in student loandebt lawmakers are discussing how to make higher education moreaffordableOC. The average 2016 university graduate has almost $40,000 in student loandebt; consequently, lawmakers are discussing how to make higher educationmore affordable.O d. The average 2016 university graduate has almost $40,000 in student loan Express the formula V=l x w x h in terms of the width, w. Use your formula to find the width when the volume is 192, the length is 8, and the height is 4 If x = 2y then solve 5y-x in terms of y find the values of these expressions when y =2 In a chemical reaction, reactants are the substances that you _________ with and the products are the substances that you _________ with What is the equation of a line that passes through (4, 3) and has a slope of 2?Oy= 2x 11Oy=2x-1Oy= 22 5y= 22 - 7 What is the smallest power of 10 that would exceed 987,654,321,098,765,432?Use the ^ symbol to represent an exponent.For example, 52 would be written as 5^2. Evidence of a turquoise trade indicates that the Aztec people probably migrated to central Mexico from what area? What percent of the world's freshwater is in Antarctica? Electron microscopes are the best tool for use on living things. Find the area of this shape. How to multi step equations Which of these areas of technology best classifies television? a. Information and Communicationb. Bio-related and Agriculturalc. Medicald. Environmentale. Production, which includes manufacturing and constructionf. Transportationg. Energy and Powerh. Nanotechnology My name is Jeff in French two example of solid -solid solution