Answers
Related Questions
Determine which of the graphs represent the proportional relationships. Circle the appropriate response.
Answers
Alice, Bob, Carol, and Dave are playing a game. Each player has the cards {1,2, ...,n} where n ≥ 4 in their hands. The players play cards in order of Alice, Bob, Carol, then Dave, such that each player must play a card that none of the others have played. For example, suppose they have cards {1, 2, ...,5}, and suppose Alice plays 2, then Bob can play 1, 3, 4, or 5. If Bob then plays 5, then Carol can play 1, 3,
or 4. If Carol then plays 4 then Dave can play 1 or 3.
(a) Draw the game tree for n = 4 cards. (b) Consider the complete bipartite graph K4n. Prove a bijection between the set of valid games for n
cards and a particular subset of subgraphs of K4.n.
Answers
(a) The game tree for n = 4 cards can be represented as follows:
markdown
Alice
/ | | \
1 3 4 5
/ | \
Bob | Dave
/ \ | / \
3 4 5 1 3
b here is a bijection between the set of valid games for n cards and a particular subset of subgraphs of K4.n.
In this game tree, each level represents a player's turn, starting with Alice at the top. The numbers on the edges represent the cards played by each player. At each level, the player has multiple choices depending on the available cards. The game tree branches out as each player makes their move, and the game continues until all cards have been played or no valid moves are left.
(b) To prove the bijection between the set of valid games for n cards and a subset of subgraphs of K4.n, we can associate each player's move in the game with an edge in the bipartite graph. Let's consider a specific example with n = 4.
In the game, each player chooses a card from their hand that hasn't been played before. We can represent this choice by connecting the corresponding vertices of the bipartite graph. For example, if Alice plays card 2, we draw an edge between the vertex representing Alice and the vertex representing card 2. Similarly, Bob's move connects his vertex to the chosen card, and so on.
By following this process for each player's move, we create a subgraph of K4.n that represents a valid game. The set of all possible valid games for n cards corresponds to a subset of subgraphs of K4.n.
Therefore, there is a bijection between the set of valid games for n cards and a particular subset of subgraphs of K4.n.
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Find the slope of the line shown on the graph to the right.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
OA. The slope of the line is
(Simplify your answer. Type an integer or a fraction.)
K
OB. The slope is undefined.
di
42-
46
co
द
Answers
Answer:
1/2 or 0.5
Step-by-step explanation:
The slope formula is: y2-y1/x2-x1
The two coordinates shown in the graph: (-1,0) and (3, 2)
-
Now lets substitute:
m= 2-0/3-(-1)
m = 1/2 or 0.5
There are x cats and y dogs in a section of a judging competition. The judges will not allow more than 20 animals in this section of the competition. A. Write an inequation to show the above information.
Answers
Y+X=20
Or
20-Y=X
According to the National Institute of Literacy (2017). Staggering Illiteracy Statistics. nearly 44 million adults in the United States cannot read a simple story to their children. How does PLAIN language bridge the staggering illiteracy statistics in the United States?
Answers
PLAIN language helps bridge the staggering illiteracy statistics in the United States by making information and communication more accessible, understandable, and inclusive for individuals with low literacy skills. It simplifies complex language, uses plain and straightforward terms, and employs clear formatting to enhance comprehension and promote literacy.
PLAIN language is a communication approach that focuses on making written and spoken information easier to understand. It involves using clear and concise language, avoiding jargon, simplifying complex concepts, and organizing content in a logical manner. By employing PLAIN language principles, organizations and institutions can create materials, such as instructional guides, educational resources, and public information, that are more accessible to individuals with low literacy skills.
In the context of staggering illiteracy statistics, PLAIN language plays a crucial role in breaking down barriers to literacy. By using plain and simple language, individuals with limited reading abilities can better comprehend information, instructions, and stories. This enables them to actively participate in activities such as reading to their children, promoting early literacy development and fostering a love for reading. PLAIN language also empowers individuals with low literacy to navigate important documents, understand health information, engage in civic participation, and access essential services. Overall, PLAIN language helps bridge the gap caused by illiteracy, making information more inclusive and promoting literacy for all.
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Marginal Profit If MARGINAL PROFIT IS P ′
(x)=−0.02x+10 FIND THE GRIGINAL PROFIT P(x) IF AT x=10 THE TOTAL PROFI P(C) =90. (s) AN ASSET IS WORTH "SO,0OU AT THESTHRT ANO INCRENED AT A CONTNUDUS RATE OF 4% VYEAR a) Fino A(t) IF A(t)= Pert b FINO A'(t) THE RATE OF CHANGE FUNCTION c) FIND A'(2) THE RATE DF CHAME FOR t=2 (b) a) y=e 7x 3
−2x 2
+6 FIND y ′
Answers
a) \(P(x) is: P(x) = -0.01x^2 + 10x - 11\)
b) \(A'(t) = P * ln(1 + r) * (1 + r)^t\)
c) \(A'(t): A'(2) = P * ln(1 + r) * (1 + r)^2\)
To find the original profit function P(x), we need to integrate the marginal profit function P'(x) with respect to x:
\(P(x) = ∫ [P'(x) dx]\)
Given that P'(x) = -0.02x + 10, we can integrate this function:
P(x) = ∫ [-0.02x + 10 dx]
Integrating term by term, we get:
\(P(x) = -0.02 * (x^2 / 2) + 10x + C\)
Where C is the constant of integration.
To find the value of C, we can use the given information that at x = 10, the total profit P(x) is 90:
90 = -0.02 * (10^2 / 2) + 10 * 10 + C
90 = -1 + 100 + C
C = -1 - 100 + 90
C = -11
Therefore, the original profit function P(x) is:
P(x) = -0.01x^2 + 10x - 11
Now, let's move on to the next part of the question.
b) To find A'(t), the rate of change function for A(t), we can use the formula for continuous compound interest:
\(A(t) = P(1 + r)^t\)
Where A(t) is the asset worth at time t, P is the initial value, r is the interest rate per year (expressed as a decimal), and t is the time in years.
Taking the derivative of A(t) with respect to t, we have:
\(A'(t) = P * ln(1 + r) * (1 + r)^t\)
c) To find A'(2), the rate of change for t = 2 years, we substitute t = 2 into the equation A'(t):
\(A'(2) = P * ln(1 + r) * (1 + r)^2\)
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If r = 10 units and h = 5 units, then what is the volume of the cylinder?
Answers
Answer:
Volume of a cylinder=1/2πr^2h.
1/2×3.142×10^2×5.
1/2×3.142×100×5.
1/2×1571
=785.5
Answer:
About 1570.8
Step-by-step explanation:
Start by looking at the equation for solving a cylinder, which is V = π x r² x h. Since r = radius (5) and h = height (10), you add those numbers into the equation. Now you have to solve V = π x 5² x 10, which will get you your repeating decimal of 1570.79633...which then can be rounded your answer of 1570.8.
When an alternating current of frequency f and peak current I_0 passes through a resistance R, then the power delivered to the resistance at time t seconds is P = I^2_0 R sin^2 2 pi ft. Write an expression for the power in terms of csc^2 2 pi ft. P = I^2_0 R/(csc^2 2 pi ft) P = I^2_0 R (csc^2 2 pi ft) P = I^2_0/(1 - csc^2 2 pi ft) P = I^2_0 R(1 - csc^2 2 pi ft)
Answers
The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.
To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).
Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.
Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
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Sketch the parametric curve corresponding to the parametric equations x = t−2, y = t 2 , −2 ≤ t ≤ 2. Indicate with arrows the direction in which the curve is traced out as t increases. Eliminate the parameter to find a Cartesian equation of the curve
Answers
The sketch of the parametric curve corresponds to the equation y = x^2 + 4x + 4, and the curve traces out in the direction from left to right as t increases.
To sketch the parametric curve corresponding to the given parametric equations x = t - 2 and y = t^2, where -2 ≤ t ≤ 2, we can plot points on the xy-plane for various values of t within the given range.
Let's calculate the corresponding points for different values of t:
For t = -2:
x = -2 - 2 = -4
y = (-2)^2 = 4
For t = -1:
x = -1 - 2 = -3
y = (-1)^2 = 1
For t = 0:
x = 0 - 2 = -2
y = 0^2 = 0
For t = 1:
x = 1 - 2 = -1
y = 1^2 = 1
For t = 2:
x = 2 - 2 = 0
y = 2^2 = 4
Now, let's plot these points on the xy-plane:
(-4, 4), (-3, 1), (-2, 0), (-1, 1), (0, 4)
Connecting these points, we obtain a curve that resembles a parabola opening upwards.
To indicate the direction in which the curve is traced out as t increases, we can draw arrows along the curve. Since t increases from -2 to 2, the direction of the arrows will go from left to right on the xy-plane.
To eliminate the parameter t and find a Cartesian equation of the curve, we can isolate t in the first equation (x = t - 2) and substitute it into the second equation (y = t^2):
x = t - 2
t = x + 2
Substituting t = x + 2 into the equation y = t^2:
y = (x + 2)^2
y = x^2 + 4x + 4
The Cartesian equation of the curve is y = x^2 + 4x + 4.
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Wyatt is typing his science paper. He can type 50 words per minute. Write an equation that shows the relationship between the number of minutes Wyatt types, x, and the number of words he types, y. y=
Answers
Answer:
Step-by-step explanation:The equation that shows the relationship between the number of minutes Wyatt types, x, and the number of words he types, y, is:
y = 50x
This equation shows that the number of words Wyatt types is directly proportional to the number of minutes he types. For every 1 minute he types, he types 50 words.
This equation can also be read as "y is equal to 50 multiplied by x" which means that for any given number of minutes, x, that Wyatt types for, the number of words he types will be 50 times that value.
devon has 15 dollars to spend on snacks. the corner store has candy bars for $1 and sports drinks for $3. he only wants to purchase at most 10 items.
Answers
Devon can have 6 candy bars and 3 sports drinks when he has $15 to spend.
According to the question,
We have the following information:
Devon has $15.
Cost of 1 candy bar = $1
Cost of 1 sports drink = $3
Devon wants to purchase at most 10 items.
It means that the total items should be less than or equal to 10.
Now, we have to spend $15 in such a way that number of items should be less than or equal to 10.
Now, we will look for the number of items for sports drink and change the number of candy bars accordingly.
Let's take 1 sports drink:
$3
We are left with $12. Now, there will be 12 candy bars.
So, this can not satisfy our conditions.
Let's take 2 sports drink:
$6
We are left $9. Now, there will be 9 candy bars. And the number of items is 11.
(This is not satisfying our condition.)
Let's take 3 sports drink:
$9
We are left with $6. Now, there will be 6 candy bars. And the number of items is 9.
This is satisfying all the conditions.
Hence, Devon can have 6 candy bars and 3 sports drinks when he has $15 to spend on snacks.
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What is the
equivalent fraction
and explain your
thinking.
3/4 = 12/ ?
Answers
Since we multiplied the numerator by 4, we must multiply the denominator by 4 to get 16 as the denominator.
So, 3/4 is equal to 12/16.
Ask a question an dorms please solve this
Answers
Given the n™ term of a number sequence, write down the first three terms of the sequence..... n² - n
Answers
Given the n™ term of a number sequence, the first three terms of the sequence are 0, 2 and 6
How to write down the first three terms of the sequence.?The sequence is given as:
n^2 - n
To write down the first three terms of the sequence, we set n =1, 2 and 3
So, we have:
When n = 1
n^2 - n = 1^2 - 1
Evaluate
n^2 - n = 0
When n = 2
n^2 - n = 2^2 - 2
Evaluate
n^2 - n = 2
When n = 3
n^2 - n = 3^2 - 3
Evaluate
n^2 - n = 6
Hence, the first three terms of the sequence are 0, 2 and 6
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A population grows according to an exponential growth model, with P3 = 27 and P7 = 136.6875 Complete the recursive formula: Pn = x Pn-1 Write an explicit formula for Pr (Round to nearest hundredth if needed) Pn Add Work Submit Question MacBook A
Answers
The explicit formula for population (Pr) according to given exponential growth model is: Pr = 27 * (1 + 5.0568)^(r-1)
To find the recursive formula for the exponential growth model, we can use the given information.
Let's first consider the given values:
P3 = 27
P7 = 136.6875
The recursive formula for an exponential growth model is given by:
Pn = x * Pn-1
We need to determine the value of x in order to complete the recursive formula.
To find x, we can use the given values of P3 and P7:
P7 = x * P6 (substituting n = 7 and n-1 = 6)
136.6875 = x * P6
Similarly,
P6 = x * P5
P5 = x * P4
P4 = x * P3
Substituting the given value P3 = 27, we have:
P4 = x * 27
P5 = x * P4
P6 = x * P5
P7 = x * P6
Now, let's substitute these equations into the expression for P7:
136.6875 = x * (x * (x * (x * 27)))
Simplifying the equation, we have:
136.6875 = x^4 * 27
To solve for x, we divide both sides by 27:
136.6875 / 27 = x^4
x^4 ≈ 5.0568
Now, to find the explicit formula for Pr, we can use the general form of the explicit formula for exponential growth:
Pr = P0 * (1 + r)^n
In this case, since the growth model is exponential, we have P0 as the initial population, r as the growth rate, and n as the number of time periods.
Given that P0 is the population at time 0, we can substitute P0 = 27 into the explicit formula.
Thus, the explicit formula for Pr is:
Pr = 27 * (1 + 5.0568)^(r-1)
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Estimate the difference by first
rounding each number to the
nearest hundred thousand.
4,827,644 - 528,411
Answers
Answer:
4,300,000
Step-by-step explanation:
4,800,000 - 500,000
CAN SOMEONE PLEASE HELP ME!!!
Answers
Answer:
2/5, 3/7, and 2/11
Step-by-step explanation:
Drag each tile to the correct box.
Arrange the balls in order from greatest amount of gravitational potential energy to least.
A
B
C
A
0-
A
D
B
E
V
C
F
LL
>
D
LLIE
V
LL
F
V
Answers
Answer: Ball A, B, C, F, E, D
Step-by-step explanation:
An object has the greatest amount of Gravitational Potential Energy when it is furthest from the ground.
This means that Ball A has the most gravitational potential energy. This is followed by Ball B and Ball C. Then, Ball F is farthest from the ground, followed by Ball E. Ball D has the least gravitational potential energy.
So, the order is as follows: Ball A, B, C, F, E, D
Which of the following equations represent(s) a line that goes through the
points (2,3) and (1,1)?
1) y = 2(x-2) + 3
II) y = 2x - 1
III) y = 2(x-1) + 1
O I, II & III
O III only
OI and III
OI only
O II only
Answers
Answer:
O I, II & III
Step-by-step explanation:
(2, 3) and (1, 1)
m = (3 - 1)/(2 - 1) = 2
y = 2x + b
1 = 2(1) + b
b = -1
The equation of the line is
y = 2x - 1
I) y = 2(x - 2) + 3 = 2x - 4 + 3 = 2x - 1 Yes
II) y = 2x - 1 Yes
III) y = 2(x - 1) + 1 = 2x - 2 + 1 = 2x - 1 Yes
Answer: O I, II & III
At joe’s clown car rental agency, renting a car costs $35 plus $0.75 for every mile it is driven
Answers
Answer:
what's the question lollll
Step-by-step explanation:
Use the sample ACT test scores 24, 30, 17,
22, 22
Find the variance.
A.22
B.20
C.25
D.19
Answers
Use the sample ACT test scores 24, 30, 17, 22, 22 the variance is B.20.
Here, correct answer will be B.20.
The variance is a measurement of how far apart from the average or mean a group of statistics are. Finding the mean of the numbers is the first step in determining the variance of the set of numbers. The mean in this instance is 23.2. The result must then be squared after subtracting the mean from each of the integers.
For instance, since 24 - 23.2 = 0.8, 0.8 squared equals 0.64. After then, multiply the total number of numbers in the set by the sum of all the squared outcomes.
The total squared results in this example come out to 6.76. You get the variance of 1.352 when you divide the number 6.76 by the total number of numbers in the set, which is 5. It is ideal to utilise the variance in its purest form, which is a whole number, as this is a measure of how dispersed the data are. As a result, the variance is 1, and B. 20 is the right response.
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how many seconds in a week?
Answers
Answer:
604,800
Step-by-step explanation:
You want to know the number of seconds in a week.
CountingThere are 60 seconds in a minute. There are 60 minutes in an hour, so 60×60 = 3600 seconds in an hour.
There are 24 hours in a day, so 3600×24 = 86,400 seconds in a day.
There are 7 days in a week, so 86,400×7 = 604,800 seconds in a week.
In a week there are 604,800 seconds (second is unit of time).
What are units?
Units are the tools to measure and compare different things. Comparison becomes easy when all the units for the measurement are the same. Different units can be classified depending on their use.
There are two type of units
1. Fundamental Units: Fundamental units are all those units that do not depend on any other unit (including themselves). These units cannot be further reduced to the elementary level. In fact, these are elementary units. Only seven fundamental units exist in Metric System or SI system which are
Length (meter, m)
Mass (kilogram, kg)
Time (second, s)
Temperature (kelvin, K)
Amount of substance (mole, mole)
Electric current (ampere, A)
Luminous intensity (candela, cd)
2. Derived units: These units are all those units that are obtained by multiplying and/or dividing one or more fundamental units with or without introducing any other numerical factor. These units can be reduced to their elementary level, which is composed of fundamental units. There exist a large number of derived units in the Metric System.
Examples:
Velocity (m/s)
Acceleration (m/s2)
Momentum (kg-m/s)
Force (N)
Density (kg/m3)
Heat (J)
Energy (J)
Power (W), etc.
Now,
There are 60 seconds in a minute. There are 60 minutes in an hour, so 60×60 = 3600 seconds in an hour.
There are 24 hours in a day, so 3600×24 = 86,400 seconds in a day.
There are 7 days in a week, so 86,400×7 = 604,800 seconds in a week.
Hence,
In a week there are 604,800 seconds.
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A shade of green paint is to be mixed with 3 parts blue and 2 parts yellow. ten gallons of green paint are to be mixed.
how many gallons of yellow paint must be used?
04
02
05
06 and 2/3
Answers
Ten gallons of green will need 4 gallons of yellow
Dwayne buys 1 loaf of bread and 6 eggs for $4.45. Sheila buys 1 loaf of bread and 1 dozen eggs for $5.65. Let x be the cost, in dollars, of a loaf of bread. Let y be the cost, in dollars, of an egg.
Answers
Answer:
cost of bread = $3.25
Cost per egg = $0.2
Step-by-step explanation:
Given the following :
Cost of a loaf of bread and 6 eggs = $4.45 - - (1)
Cost of a loaf of bread and a dozen eggs ( 12 eggs) = $5.65 - - - (2)
Let x = cost of bread and y = cost of egg
x + 6y = 4.45
x + 12y = 5.65
Subtract 1 from 2
6y - 12y = 4.45 - 5.65
-6y = - 1.2
y = $0.2
Hence,
From x + 6y = $4.45
Where y = $0.2
x + 6($0.2) = $4.45
x + $1.2 = $4.45
x = $4.45 - $1.2
x = $3. 25
Hence, cost of bread = $3.25
Cost per egg = $0.2
PLEASE HELP WITH THIS MATH PROBLEM
Answers
Answer:
-2x<4
Step-by-step explanation:
using the x-values- look for where it starts going up (from left to right) (-2) to the point where it turns back downward (4)
If a triangle ABC is at: A = ( 2, 3 ) B = ( 5, 6 ) C = ( - 4, - 6 ) and if it is translated right 6 and down 3, find the new point B'.
Answers
Answer:
( 11 , 3 )
Step-by-step explanation:
going right means a positive change to the x value, and going down is a negative change to the y value.
What is the inverse of the given relation?
y = 4x + 12
Answers
9514 1404 393
Answer:
y = 1/4x -3
Step-by-step explanation:
The inverse relation can be found by interchanging y and x, then solving for y.
x = 4y +12
x = 4(y +3) . . . . factor out 4
x/4 = y + 3
x/4 -3 = y
y = (1/4)x -3 . . . . the inverse relation
The base of a solid is the region in the first quadrant bounded by the y-axis, the graph of y = ????????????-1x, the horizontal line y = 3 and the vertical line x = 1. For this solid, each cross section perpendicular to the x-axis is a square. What is the volume of the solid?
Answers
The volume of the solid is 9 cubic units, which is determined by the base in the first quadrant bounded by the y-axis, the graph of y = x-1, the horizontal line y = 3, and the vertical line x = 1. As the cross sections perpendicular to the x-axis are squares, the volume can be calculated.
The volume of the solid can be calculated by finding the area of the base and then multiplying it by the height of the solid. The base of the solid is in the first quadrant and is bounded by the y-axis, the graph of y = x-1, the horizontal line y = 3, and the vertical line x = 1. This region forms a trapezoid, with an area of 6. As the cross sections perpendicular to the x-axis are squares, the height of the solid is 3 units. Thus, the volume of the solid is 6 multiplied by 3, which gives us a total volume of 9 cubic units. To calculate the volume, it is important to identify the base of the solid and the shape of the cross sections perpendicular to the x-axis. This will allow us to calculate the area of the base, and multiply it by the height of the solid to determine the total volume.
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Please show step by step how to solve the problem in Excel with the formula and not in Excel.
1.) Kate wants to purchase a car for $505.76 monthly payments for the next 5 years. Kate qualifies for a 4.3% loan. How much does the car cost?
Answer: 27,261
Use Excel to find PV (present value) of these monthly payments.
Excel PV formula: =PV(rate,nper,pmt,fv)
Use the number of monthly payments (years *12) for the nper and the monthly interest rate (rate/12).
Please show step by step how to solve the problem in Excel with the formula and not in Excel.
Answer: 437
2.) M wants to buy a used car for $23,099. If M wants to pay it off in 5 years, how much will she have to pay each month with an annual interest rate of 5.1%? Post answer as a positive amount.
PVOA = PMT x [1 - (1 /(1 + k)n ) / k] x ( 1 + k)
or use the PMT function in Excel. =PMT(rate,nper,pv,fv)
Remember for monthly payments, the nper = years * 12 and the annual interest rate must be divided by 12.
Thank you.
Answers
Problem 1
PMT = 505.76 = monthly payment
k = monthly interest rate in decimal form
k = 0.043/12 = 0.003583333 (approximate)
n = 5*12 = 60 months
PVOA = present value of ordinary annuity
PVOA = PMT * ( 1 - (1+k)^(-n) )/k
PVOA = 505.76 * ( 1 - (1+0.003583333)^(-60) )/0.003583333
PVOA = 27,261.436358296
When rounding to the nearest dollar, we get $27,261
Your teacher made a mistake in choosing the formula. S/he mixed up present value ordinary annuity with annuity due. The (1+k) portion at the end is ignored. I rewrote the 1/( (1+k)^n ) sub-portion as (1+k)^(-n) to avoid a bit of clutter.
--------
To type this into excel we will write
=PV(0.043/12,5*12,505.76,0,0)
That will produce the result of -27,261.44. The negative is to indicate a cash outflow.
Don't forget about the equal sign up front when writing excel formulas.
=====================================================
Problem 2
L = loan amount = 23099
k = interest rate per month = 0.051/12 = 0.00425 exactly
n = number of months = 5*12 = 60 months
PMT = monthly payment
PMT = (Lk)/(1 - (1 + k)^(-n) )
This formula is the result of solving PVOA = PMT * ( 1 - (1+k)^(-n) )/k for "PMT". The PVOA value is the loan amount in this case.
Let's plug in the values mentioned
PMT = (Lk)/(1 - (1 + k)^(-n) )
PMT = (23099*0.00425)/(1 - (1 + 0.00425)^(-60) )
PMT = 436.965684557303
PMT = 437 when rounding to the nearest whole number
--------
To do this in excel, we type in
=PMT(0.051/12,5*12,23099,0,0)
The output should be -436.97 which rounds to -437.
The value is negative to represent a cash outflow, but your teacher mentions to post the answer as a positive value.
free bilirubin is transported by the blood to the liver. TRUE OR FALSE
Answers
True, free bilirubin is transported by the blood to the liver.
Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.
Bilirubin
Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.
Hemoglobin
Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.
Learn more about bilirubin here :-
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