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.
Answer:
the cost continues to increase
Step-by-step explanation:
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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i need helpp !! ill mark brainliest !
393/1000. i think, sorry. :c
When a number is subtracted from 52 and the result is divided by 6, the answer obtained is twice the original number. What is the number?
arrange 7 people into group(s) such that a group must have at least 3 people?
7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.
Given the value of B in the attached photo ,
1. Find the cofactor of matrix B
2. Hence, find the inverse of matrix B
Answer:
answer is in attachment
In the past year Abdul watched 18 movies that he thought were very good. He watched 40 movies over the whole year. Of the movies he watched, what percentage did he rate as very good?
Answer:
45%
Step-by-step explanation:
18/40
You multiply this by 10/10 to get
180/400
And then you divide by 4 to get
45/100
= 0.45
= 45%
solve for x
8x = y
PLEASE HELPPPPPP
Hi ;-)
[tex]8x=y \ \ /:8\\\\\boxed{x=\frac{y}{8}}[/tex]
Simplify each expression
1. 2x + (x - 4) + (2y - 5)
2. 3(x - 2) + 4(x + 3)
Answer:
1. 3x-9+2y
2. 7x+6
Step-by-step explanation:
1. 2x + (x - 4) + (2y - 5)
2x+x-4+2y-5
3x-9+2y
2. 3(x - 2) + 4(x + 3)
3x+4x-6+12
7x+6
Answer:
1. 3x - 9 + 2y 2. 7x + 6
Step-by-step explanation:
1.
2x + (x - 4) + (2y - 5) =
3x - 9 + 2y
2.
3(x - 2) + 4(x + 3) =
3x - 6 + 4x + 12 =
7x + 6
What is 1.83333333333 as a fraction?
Answer:
1 83/99
Step-by-step explanation:
This is how u do it
Answer:
[tex]\frac{183333333333}{100000000000}[/tex]
Step-by-step explanation:
1.83333333333 as fraction
we need to divide the fraction by the number of digits it have before decimal point to convert it to fraction
here we have 11 digits before decimal point so we need to divide it by 100000000000
so
[tex]\frac{183333333333}{100000000000}[/tex]
7) Find EC
16
E-
B
D
С
49
30
111011100 (2) write down the value in decimal system ans is 476(100) write the process.....
Answer:
here are the steps
multiply is binary number with its position value with the terms of power to starting from the extreme right digit
increase the power 1 by 1 keeping the base fixed as 2
calculate the sum of all the products to get a decimal number
PS. also see the attachment for better understanding :)
have a great day ahead!
(PLEASE HELP ASAP I JUST NEED TO SEE IF I GOT THE RIGHT ANSWER)PLEASE EXPLAIN AS WELL
Answer:
MONEY ON MONDAY=36.
MONEY ON TUESDAY =36+20=56
MONEY ON WEDNESDAY =56-19=37
MONEY LEFT ON THURSDAY=37
please help me with this ixl i beg you
Answer:
plot these points on the graph and connect them
Step-by-step explanation:
V(2,0)
T(5,-10)
U(9,-10)
Which of the following points lies on the line defined by y = -3x – 7?
A. (2, -1)
B.(-2, 1)
C. (-2,-1)
D. (1,8)
E. (2, 1)
=========================================================
Explanation:
If we tried the x coordinate of choice A, then,
y = -3x-7
y = -3*2-7
y = -6-7
y = -13
This shows that the point (2,-13) is on the line and not (2,-1). This rules out choice A, and also choice E.
Let's try x = -2
y = -3x-7
y = -3*(-2)-7
y = 6-7
y = -1
This shows that (-2,-1) is a point on the line, and it points us to choice C being the final answer. This rules out choice B.
If we tried x = 1, then,
y = -3x-7
y = -3*1-7
y = -3-7
y = -10
Which shows that (1,-10) is a point on this line, which rules out choice D.
The visual summary is shown below as a graph. Only point C is on the red line.
A) Addition
B) Subtraction
C) Multiplication
D) Exponent
3+16 divided by 4
4 x 7 - 2 x 6 divided by 3
5 (power of 2) - 4 x (2 power of 3) -3)
(-3 (power of 4) divided 9 x (4-5 (power of 3) + 8
Answer:
3+16 divided by 4 is 4.75
4×7-2×6..... is5.33
168
Three numbers are C, BC, and ADC. The digits B and C are multiples of 3. If C×BC=ADC and A+D=B, find the numbers C, BC, and ADC.
Write the equation y=-4x+7 passing through the point (-6,-8) in point slope intercept form?
Answer:
y + 8 = -4 (x + 6)
Step-by-step explanation:
y + 8 = -4 (x + 6)
Drag the black dots to move the
like terms next to each other.
Then simplify the expression.
4x-2y + 7-y +5-3x
Answer:
4x - 3x - 2y -y +7 + 5
Step-by-step explanation:
4x-3x =x
-2y-y = (-3y)
7+5 = 12
x-3y+12
Seth bought a 12 ounce jar of peanut butter for 3.60 what is the unit price
Answer:
12 ÷ 3.60 = 3.33¢
Step-by-step explanation:
$3.33 per ounce
Which of the graphs model the equation y= x^2?
Answer:
Step-by-step explanation:
The general equation for a parabola is y=4(x^2). The given eqn is y=x^2.
The equation resembles a parabola.
So clearly the answer is either B or C.
Now substitute some values. The value of y can't be negative because x^2 will always be positive.
The answer is B.
When 7 is subtracted from four times a certain number, the answer is 37. What is the
number?
Answer:
brainliest is appreciated
the area of a square is below. A= 40in^2 find the length of the side. round your answer to the nearest tenth
Answer:
6.3
Step-by-step explanation
Each side of a square is equal; therefore, to find the length of one side, we can find the square root of the area, which, rounded, is 6.3.
Answer:
a=A=40≈6.32456in
what is the odd number?
Step-by-step explanation:
A whole number that is not able to be divided by two into two equal whole numbers. Example: 1, 3, 5, and 7 are odd numbers
X/6 = 8 what is the answer
Answer:
x = 48
Step-by-step explanation:
Multiply both sides by 6
x = 6 * 8
x = 48
Check:
48/6 = 8
8 = 8
Answer:
[tex] \frac{x}{6} = 8 \\ \\ x = 8 \times 6 \\ \\ x = 48[/tex]
what is the midpoint of (4,5) and (9,17)
Answer:
Step-by-step explanation:
Midpoint formula: ( (x1+x2)/2, (y1+y2)/2)
where (x1, y1) and (x2, y2) are our points
Let (x1, y1) = (4, 5)
and (x2, y2) = (9, 17)
x1 = 4
x2 = 9
y1 = 5
y2 = 17
Then ( (4+9)/2, (5+17)/2 ) = (13/2, 22/2) = (13/2, 11)
I really need some help again
can someone explain
The can contains 15.7 g of sugar per 100 mL. So if the can holds 330 mL of soft drink, then overall it contains
(15.7 g) / (100 mL) × (330 mL) = 51.81 g
of sugar, and this is
(51.81 g) / (90 g) ≈ 0.575667 ≈ 57.6%
so Tom's friend is correct.
what’s the value of n?
Answer:
n=1
Step-by-step explanation:
(√5^5)^5 =5^n
5^1/5×5=5^n
1/5×5=n
5/5=n
n=1
Help anyone can help me do this question,I will mark brainlest.
Answer:
Step-by-step explanation:
E ⊂ F ⊂ G
Your house is located at point L. Your friend's house is located at point N.
M is the midpoint of IN. How far do you need to travel to walk home from
your friend's house?
3x
2x+ 2
M
N
Answer: 12 units
Replace "units" with "feet", "meters", etc. if your teacher instructs it.
==============================================================
Explanation:
M is the midpoint, which means segments LM and MN are the same length. This is because M cut LN in half.
So,
LM = MN
3x = 2x+2
3x-2x = 2
x = 2
Use this x value to then say
LM = 3x = 3*2 = 6MN = 2x+2 = 2*2+2 = 4+2 = 6Segments LM and MN are 6 units each.
From that, we know,
LN = LM+MN = 6+6 = 12
The distance from your house to your friends house is 12 units.