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:

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Related Questions

If 2 – x > x – 2 then the solution of x is

Answers

[tex]\\ \sf\longmapsto 2-x\gt x-2[/tex]

[tex]\\ \sf\longmapsto 2+2\gt x+x[/tex]

[tex]\\ \sf\longmapsto 4\gt 2x[/tex]

[tex]\\ \sf\longmapsto x\lt \dfrac{4}{2}[/tex]

[tex]\\ \sf\longmapsto x\lt 2[/tex]

Add x + 2 to both sides
2 + 2 > x + x
2x < 4
x < 2

María va de compras a una tienda departamental y adquiere los siguientes productos: 2 pantalones, 4 blusas, 3 pares de calcetas y 2 pares de tenis. El precio de los artículos por unidad es: pantalones $ 600.00, blusas: $350.00, calcetas: $120.00 y tenis: $ 950.00. Si María contaba con $5000.00, calcula cuánto dinero le sobró después de las compras realizadas.

Answers

Answer:

Pantalones = $600.00 × 2

$ 1,200.00

Blusas = $350.00 × 4

$ 1,400.00

Calcetas = $120.00 × 3

$ 360.00

Par de tenis = $950.00 × 2

$ 1,900.00

Total a pagar = $4,850.00

$5,000.00

- $4,860.00

Sobrante = $140.00

13 Points Plz Help Me

Answers

Step-by-step explanation:

y+x-2-6x = y-5x-2

2x+3-x-4 = x-1

5xy+4x-5xy-3 = x

Determine if the expression 8a – a4 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
The given expression
va polynomial.

represents
does NOT
represent
attempt 1 out of 2 / problem 1 out of max 1

Answers

Answer:

Represents

Step-by-step explanation:

Going over the basic definition of polynomial, an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division, we can see that the expression is indeed a polynomial.

Two-thirds a numberx plus 4 is 8.

Answers

Answer:

n = 6

Step-by-step explanation:

To solve this you can use an equation such as:

[tex]\frac{2}{3} n+4=8\\\\[/tex]

We need to so for n. Subtract 4 from both sides to get the variable (n) alone. 4 - 4 and 8 - 4 equals:

[tex]\frac{2}{3}n=4[/tex]

So now we divide both sides by 2/3.

This now equals:

[tex]n=6[/tex]

At a charity​ fund-raiser, adult tickets were sold for ​$10 each and​ children's tickets were sold for $4 each. Write an algebraic expression for the total amount of money raised from the sale of tickets. How much money was raised if the fundraiser sold 244 adult tickets and 387 ​children's tickets?

Answers

Answer:

the all adult tickets made out 2440$

the all children tickets made out 1548

Solve for W.
4w=5.12

Answers

Answer:

x =1.28

Step-by-step explanation:

4w=5.12

Divide each side by 4

4w/4 = 5.12/4

x =1.28

The answer is w=1.28

Write the conjugate of the following complex
number:
-6i

Answers

Answer:

[tex]6i[/tex]

Step-by-step explanation:

We want to write the conjugate of the complex number:

[tex]-6i[/tex]

Recall that the conjugate of a complex number in the form a + bi is a - bi, and vice versa.

We can rewrite our complex number as:

[tex]\displaystyle 0 - 6i[/tex]

Hence, a = 0 and b = 6.

Then its conjugate will be:

[tex]0 + 6i = 6i[/tex]

How would I prove the congruency of these triangles?

Answers

Step-by-step explanation:

the radius cuts the segment into two equal parts because it is perpendicular to the chord

Answer:

Step-by-step explanation:

As O is the mid point of the circle

Similarly, B also becomes the mid point of the line AC.

So, line OB divides AB and BC equally.

Hence, lines AB = AC, but they are asking to prove congruency of triangles.

So, u have to join OA and OC.

Same way,   line OB divides ∠OBA and ∠OBC.

So it is proved that AB = AC

Write the equation of the line that passes through the points
(3,-2) and (6, 1).
y=x-5
y = 5x + 1
y = -x + 5

Answers

Answer:

It is y = x - 5

Step-by-step explanation:

General equation of a line:

[tex]{ \bf{y = mx + c}}[/tex]

m is the gradient, and c is y-intercept.

For gradient:

[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1}} [/tex]

substitute:

[tex]slope = \frac{1 - ( - 2)}{6 - 3} \\ \\ = \frac{3}{3} \\ slope \: = 1[/tex]

m = 1

for y-intercept:

consider point (6, 1):

[tex]y = mx + c \\ 1 = (6 \times 1) + c \\ 1 = 6 + c \\ c = 1 - 6 = - 5[/tex]

therefore:

[tex]{ \sf{equation \: is \: \{y = x - 5 \}}}[/tex]

someone help me asap

Answers

Answer:

19/20 cups

Step-by-step explanation:

Add the amounts together

1/4 + 7/10

Get a common denominator of 20

1/4 *5/5   + 7/10 *2/2

5/20 + 14/20

19/20

Answer:

19/20

Step-by-step explanation:

find a common denominator then do the same with the numerator then add.

Answer question worth 25 points plz help!

Answers

Answer:

B

Step-by-step explanation:

l find it difficult to solve this problem. Please help.​

Answers

Answer:

27 square are there in the given figure

36 square are in the picture

PLEASE HELP!!! I really need help with this.

Answers

Answer:

M.  2.5n - (-8.2) = 26. 7

to find n transpose

2.5n + 8.2 = 26. 7

2.5n = 26. 7 - 8.2

2.5n = 18.5

n = 18.5 ÷ 2.5

n = 7.4

L.  [tex]\frac{7a + 1}{2}[/tex] = 18

7a + 1 = 18 ×2

7a + 1 = 36

7a = 36 - 1

7a = 35

a = 35 ÷ 7

a = 5

N.     [tex]\frac{2}{5}[/tex] b + 1 = -11

[tex]\frac{2}{5}[/tex] b   = -11 -1

[tex]\frac{2}{5}[/tex] b   = -12

b = -12 - [tex]\frac{5}{2}[/tex]

b = 20

H.   5 - [tex]\frac{9}{2}[/tex] d = 32

- [tex]\frac{9}{2}[/tex] d = 32 - 5

- [tex]\frac{9}{2}[/tex] d = 27

d =  27 + [tex]\frac{2}{9}[/tex]

d = 6

What is the answer ?

Answers

Answer:

27

Step-by-step explanation:

36 divided by 4 equals 9 which is what the sea turtle can swim in 1 second. Multiply 9 by 3 and you'll get 27.

Answer:

Step-by-step explanation:

please help easy maths gradient thanks so much

Answers

Answer:

Y-2x=8

Y-x=8/2

Yx=4

Maths gradients

Answer:

b

Step-by-step explanation:

What type of number is 80i?

Answers

Imaginary number because of the i !!!

Write -93.74 as a mixed number.

Answers

As a mixed number, -93.74 would be -93 74/100 or -93 37/50

please help me is for my homework​

Answers

Answer:

126/100

Step-by-step explanation:

126% / 100

= 1.26

Answer:

1.26

Step-by-step explanation:

divide 126 by 100 first

[tex]\frac{126}{100}[/tex]

you will get

1.26

(−2x + 8) + (−8x^2− 8x)

Answers

Answer:

-8x^2 -10x + 8

Step-by-step explanation:

there is no multiplying just adding

PLEASE HELP!! i can’t figure this out!

Given the point A(-3,-3) and B(5,1), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio of 3:1.

Answers

Answer:

1,-1

Step-by-step explanation:

midpoint is (-3)+5÷2 ; (-3)+1÷2

=1;-1

20 PTS + Brainliest. Please find the size of the blue area, explain your work.

Answers

here is answer, hope u understand:)

2(k + 1) = -4(k - 2)​

Answers

Answer:

1

Step-by-step explanation:

2(k + 1) = -4(k - 2)

2k + 2 = --4k+8

2k+4k=8-2

6k=6

k=6/6

k=1

(
a. Find the distance around the park to the nearest yard.
39
The distance is about
yards.
b. A new path and a bridge are constructed from point Q to the midpoint M of PR Find QM to the nearest yard.
QM
yd
c. A man jogs from P to Q to M to R to Q and back to P at an average speed of 150 yards per minute. To the neare
long does it take him to travel the entire distance?
It takes about
minutes
Type here to con

Answers

We have that the distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as

[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]

From the Question we are told that

[tex]PQ=(50-10)=40\\\\QR=(80-10)70[/tex]

Generally the equation for the Resultant PR is mathematically given as

[tex]PR=\sqrt{PQ^2+QR^2}\\\\PR=\sqrt{70^2+40^2}\\\\PR=80yd[/tex]

a)

Generally the equation for the Distance around they park is mathematically given as

[tex]X=PQ+QR+PR\\\\X=80+70+40\\\\[/tex]

[tex]X=190yd[/tex]

b)

Generally the equation for the Path QM is mathematically given as

From the diagram we see that

[tex]QM=PM=MR\\\\QM=\frac{80}{2}\\\\[/tex]

[tex]QM=40yd[/tex]

c)

From the question we are told

Average speed of [tex]150yd/m[/tex]

Total distance traveled

[tex]D_t=40+40+40+70+40\\\\D_t=230yd[/tex]

Therefore

Time

[tex]T=\frac{D_t}{V}\\\\T=\frac{230}{150}[/tex]

[tex]T=1.5minutes.[/tex]

in conclusion

The distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as

[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]

For more information on this visit

https://brainly.com/question/15356513

1. Write each of these products as a quadratic
expression of the form x2+bx+c. That is, write
each product in standard form.
a. (x+3)(x + 5)
b. (x – 4)(x + 7)
C. (x-6)(x - 2)

Answers

Step-by-step explanation:

maybe I am wrong sorry for that but try to understand it

have a great day

I think a is 15x
I think b is -28x
Do you want to try C or do you want me to tell you?
It’s been a while since I’ve done math, so anyone can correct me if I’m wrong

Marley made three full pitchers of lemonade. Eachpitcher holds exactly five cups of liquid. How many ounces of lemonade did Marley make?

Answers

Answer:

120 fluid ounces

Step-by-step explanation:

1 cup = 8 fluid oz

Multiply 15 on both sides (since there is 3 pitchers and each is 5 cups, so 3 * 5 = 15 cups in total for all 3 pitchers) and we get 15 cups = 120 fluid oz.

So that's our answer

Hope this helped!

[I know this is a bit rude asking, but can I please have a Brainliest?]

there are 60 teams attend a chess tournament. every team will play with every other team exactly once. Supposed each team has a 50% chances of winning any games it plays and no ties occue which is the probability that no two teams win the same number of games

Answers

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

The reason for arriving at the above probability is as follows:

The given parameters are;

The number of teams in the tournament, n = 60

The chance of a team winning a game = 50% = 0.5

The number of ties = No ties

The required parameter:

The probability that no two teams win the same number of games

Method:

Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes

Solution:

The number of matches played, n = [tex]\dbinom {60} {2}[/tex] = 1,770

The possible outcomes = 2; Winning or losing

The total number of possible outcomes, [tex]n_p[/tex] = 2¹⁷⁷⁰

The number of games won by each team is between 0 and 59

The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59

Therefore, the number of ways no two teams won the same number of games, the required outcomes, [tex]n_k[/tex] = 59!

[tex]Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}[/tex]

The probability that no two teams win the same number of games is given as follows;

[tex]\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}[/tex]

Therefore;

[tex]P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}[/tex]

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

Learn more about probability theory here:

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Jaulas father throws Kayla a graduation party that costs $773. He pays the DJ $250, $75 for the cake, and $4 per party guest for food. How many guests were at the party?

Answers

Answer:

112 guests

Step-by-step explanation:

I. If her total cost is 773$

When Total = DJ + Cake + Guest

            773 = 250 + 75 + 4(x)

            773 = 325 + 4(x)

            773 - 325 = 4(x)

            448 = 4x

               x = 448/4

               x = 112

That makes guests are 112

Help me bro like this is difficult

Answers

The answer is B I think

solve 4m plus 2n equals 5n for m.

Answers

Answer:

m = (3/4) n

Step-by-step explanation:

4m + 2n = 5n

The subtraction property of equality states that we can subtract 2n from both sides to isolate the m and its coefficient to get

4m = 3n

The division property of equality states that we can divide 4 from both sides to isolate only the m (we divide by 4 because anything divided by itself equals 1) to get

m = (3/4) n

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