It is 42 1/2 miles from Eaton to Baxter, and 37 4/5 miles from Baxter to Wellington. How far is it from Eaton to Wellington, if you go by way of Baxter?​

Answers

Answer 1

[tex]42 \frac{1}{2} + 37 \frac{4}{5} [/tex]

[tex]42 \frac{5}{10} + 37 \frac{8}{10} [/tex]

[tex] \frac{5}{10} + \frac{8}{10} = \frac{13}{10} = 1 \frac{3}{10} [/tex]

[tex]79 + 1 \frac{3}{10} = 80 \frac{3}{10} [/tex]

[tex]80 \frac{3}{10} \: \:miles \: or \: 80.3 \: miles[/tex]

//

Just double check that I did the right calculations


Related Questions

Mark bought a new car. The total amount he needs to borrow is $28,716. He plans on taking out a 4-year loan at an APR of 3.12%. What is the monthly payment?

Answers

The monthly payment with given simple interest will be $673.

What is simple interest?

Simple Interest is an easy method of calculating the interest for a loan/principal amount. Simple interest is a concept that is used in many sectors such as banking, finance, automobile, and so on. When you make a payment for a loan, first it goes to the monthly interest and the remaining goes towards the principal amount.

Simple interest formula is given as:

SI=P*R*T/100

Where SI = simple interest

P = principal

R = interest rate (in percentage)

T = time duration (in years)

In order to calculate the total amount, the following formula is used:

Amount (A) = Principal (P) + Simple Interest (SI)

Now,

Amount to Borrow=$28716

Rate=3.12%

Time=4 years

SI=28716*3.12*4/100

=$3584

Total amount to pay=28716+3584

=$32300

Hence,

        monthly payment for 4 years =32300/48

  monthly payment=$673

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Rewrite the following equation in slope-intercept form. 14x − y = –15

Answers

y = 14x + 15 would be the slope-intercept form

write a cosine function that has a midline of 4, an amplitude or 3 and a period of 7/3

Answers

The cosine function will be equal to f(x) = 3cos(π(6/7)x) + 4

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

A generic cosine function is written as:

f(x) = Acos(wx + p) + M

where:

A = amplitude

w = angular frequency

p = phase

M = midline.

We know that:

The midline is 4, then  M = 4

The amplitude is 3, then A  = 3

There is no information about the phase, so p = 0.

And we know that the period is 7/3.

The period is written as T, and the relation between the period and the angular frequency is:

T = 2π/w

Then we have:

7/3 = 2π/w

w = (2π)*(3/7) = π  x (6/7)

where π= 3.14

Then we have:

w =  π  x (6/7)

A = 3

M = 4

p = 0

Hence, the cosine function is: f(x) = 3cos(π(6/7)x) + 4

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Find the area of the floor of a quare room in quare meter whoe each ide i 800 cm

Answers

The area of the floor of a square room in square meter whose each side is 800 cm is 640000 cm ^ 2.

The area of a square or square shaped figures is:

area = side x side or (side) ^2

The length of the side of the floor of the given square room is:

800 cm

Therefore, area of the floor of the given square room is:

800 cm x 800 cm = 640000 cm ^ 2.

Thus, the area of the floor of the given square room in square meter whose each side is 800 cm is 640000 cm ^ 2.

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What does the factored form of a quadratic equation tell you?

Answers

Factored form helps us identify the x-intercepts or zeros of the function. Factored form, the result of combining two linear terms with a constant: or.

What does factored form of an equation mean?Factored form, the result of combining two linear terms with a constant: or. The roots of the function are the parameters and (the x-intercepts of the graph ). The process of factoring involves reducing a quadratic function to its factored form. The polynomial can be expressed as the product of its linear elements by factoring quadratics. It is a method that enables us to locate the roots of quadratic expressions, simplify them, and solve equations. A parenthesized algebraic expression is a factored form. A factored form is essentially a sum of products of sums or a product of sums of products of sums. Any factored form can serve as a representation for any logic function, and every factored form serves as a representation for some logic function.

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Jake has a shipping box with the following dimensions.

length: 12 inches
width: 4 inches
height: 8 inches

Havana has a shipping box similar to Jake's box, but each dimension is half as long.

How many times greater is the volume of Jake's box than Havana's box?

Answers

Jake's box is 8 times greater than Havana's box.

What is the volume of the cuboid?

The volume of a cuboid is found by multiplying the length by the breadth by the height.

Given here: Two boxes Jake's and Havana's with Havana's box with dimensions half of Jake's

Therefore the ratio of the volume is = 12× 4 ×8 /6× 2× 4

                                                             =8

Hence, ake's box is 8 times greater than Havana's box.

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i need some help. please help me

Answers

Answer:

HK and GJ is the diameter of circle L.

Step-by-step explanation:

Answer:

Either GJ or HK

Step-by-step explanation:

Im not sure if im reading ot correctly bit ye diameter is the full line in the moddle and they both are so it's probably those 2

A candle's height is modeled by the equation y=-5x+30, where x is the hours spent burning, and y is the height of the candle in centimeters. Interpret the slope, using a complete sentence. Please explain how you got the answer. I will mark you brainliest!!

Answers

The number -5 represents the rate of decreasing 5 centimeters per hour.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A candle's height is modeled by the equation y = -5x + 30, where x is the hours spent burning, and y is the height of the candle in centimeters.

The number -5 represents the rate of decreasing 5 centimeters per hour and 30 represents the initial length of the candle.

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plssss i’ll give points

Answers

The equation of this perpendicular line is Y=-4x+15

What is perpendicular line ?

In elementary geometry, two geometric objects are perpendicular if they intersect at a right angle. The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂. It can be defined between two lines, between a line and a plane, and between two planes.Lines that intersect each other forming a right angle are called perpendicular lines. Example: the steps of a straight ladder; the opposite sides of a rectangle.A perpendicular line is a straight line through a point. It makes an angle of 90 degrees with a particular point through which the line passes. Coordinates and line equation is the prerequisite to finding out the perpendicular line.the equation is : y = ax+bthe slope is a : a×(1/4) = -1......( perpendicular to a line with a slope of 1/4) becausey=x/4 -2  means y = (1/4)x -2... the slope is : 1/4but :   a×(1/4) = -1   so : a = - 4      y= - 4x+bthe line that passes through (4, -1)-1 =-4(4)+bb = 15the equation is :  y  = - 4x+15

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Jesse bought 24 gallons of gas for $45.58. What was the price per gallon?

Answers

Answer:

$1.899

Step-by-step explanation:

Divide $45.58 by 24 for the unit price of each gallon

Answer: Approx. $1.899

Step-by-step explanation:

let the price per gallons be G

24G = 45.58

G = 45.58/24 = 1.899

Ed found that the value of his new car is now $23,500, but it is expected to depreciate at a rate of 7.5% per year. What is the range of the exponential function in that represents this situation?

Answers

The decay factor for the car will be equal to 0.925 or 92.5%

What is an exponent?The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.The way of representing huge numbers in terms of powers is known as an exponent.Exponent, then, is the number of times a number has been multiplied by itself. The result of multiplying 6 by itself four times is 6 6 6 6. You can write this as 64. Exponentiation is a mathematical process that involves the base b and the exponent or power n. It is represented as bn and is pronounced as "b to the n."

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One tennis club charges $ 34 per session to play tennis. Another tennis club charges an annual fee of $ plus $ 22 per session. After how many sessions is the cost at the two clubs the same?

Answers

The cost of  the two clubs will be the same after 4 sessions

How to determine the number of  sessions at which the cost at the two clubs the same?

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation

Let x represent the number of session

Since One tennis club charges $ 34 per session to play tennis. We can write the cost as:

cost = 34x

And another tennis club charges an annual fee of $ plus $ 22 per session. We can write the cost as:

cost = 48 + 22x

At the same cost, we have:

34x = 48 + 22x

34x - 22x = 48

12x = 48

x = 48/12

x = 4

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Complete Question

One tennis club charges $30 per session to play tennis. Another tennis club charges an annual fee of $48 plus $22 per session. After how many sessions is the cost at the two clubs the same?

in exercises 25-28, three vertices of DEFG are given D(0,2), E(-1,5), G(4,0). Find the coordinates of the missing vertex

Answers

The coordinate of F is (3, 3).

What is the formula to find the midpoints?

Diagonals of a parallelogram bisect each other, meaning they divide each other into equal parts.

The formula is used to find the midpoints are as follows;

(x1 + x2)/2, (y1+y2)/2

DF and EG are diagonals of parallelogram DEFG, therefore:

The midpoint of DF = midpoint of E

Then,

The midpoint of D(0, 2) and F(x, y) is:

(0 + x)/2 , (2 + y)/2

The midpoint of E(-1, 5) and G(4, 0) is;

(-1 + 4)/2, (5 + 0)/2

Comparing the equation;

x/2 = 3/2

x = 3

2+y/2= 5/2

y = 3

Hence, the coordinate of F is (3, 3).

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Gerardo changed a $100 at the bank. He received $20 bills and $10 bills.
$20 bills was 2 more than the number of $10 bills. How many bills of each kind did he
receive?
Write using LESCA

Answers

Answer:

• Two $10 bills

• Four $20 bills

Step-by-step explanation:

We are told that Gerardo received a number of $20 and $10 bills upon changing a $100 bill at the bank. We are also told that he received 2 more $20 bills than $10. Then we are asked to find the number of each kind of bill.

To solve this problem, let's consider the number of $10 bills he received was [tex]x[/tex]. Since he received 2 more $20 bills, he got [tex](2 + x)[/tex] $20 bills. Therefore, in total he received:

[tex]10 \times x + 20 \times (x +2)[/tex]

This should add up to $100 since that is the amount he changed. Solving the resulting equation for [tex]x[/tex] will give us the number of $10 bills he received.

[tex]10 \times x + 20 \times (x +2) = 100[/tex]

⇒ [tex]10x + 20x + 40 = 100[/tex]

⇒ [tex]30x +40 = 100[/tex]

⇒ [tex]30x + 40 - 40 = 100 - 40[/tex] [Subtracting 40 from both sides of equation]

⇒ [tex]30x = 60[/tex]

⇒ [tex]\frac{30}{30}x = \frac{60}{30}[/tex]              [Dividing both sides of the equation by 30]

⇒ [tex]x = \bf 2[/tex]

Therefore, he received 2 $10 bills.

Since the number of $20 bills is 2 more than the number of $10 bills,

no. of $20 bills = 2 + 2

                         = 4

What are the 7 stages of problem-solving?

Answers

The 7 stages of problem-solving are a widely recognized framework for approaching and solving problems. The stages include identifying the problem, collecting information, developing the possible solutions, evaluating those solutions, choosing a solution, implementing it and evaluating the results.

Identifying the problem: This involves clearly defining and understanding the problem, including its scope and the factors that contribute to it.

Gathering information: This involves researching and collecting data to better understand the problem and potential solutions.

Developing possible solutions: This involves generating a list of potential solutions to the problem, including both traditional and creative options.

Evaluating possible solutions: This involves analysing each potential solution to determine its feasibility and potential impact.

Choosing a solution: This involves selecting the best solution based on the evaluation in the previous stage.

Implementing the solution: This involves putting the chosen solution into action, including any necessary planning and preparation.

Evaluating the results: This involves monitoring and assessing the effectiveness of the solution and making any necessary adjustments.

It's important to note that the problem-solving process is not always linear, and it's possible to move back and forth between the stages as new information is gathered or new issues arise. Additionally, it's important to be flexible and open-minded throughout the problem-solving process to consider different possibilities.

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QUICK PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
How can you solve two-step inequalities?
Explain shortly.

Answers

To solve a two-step inequality, you can follow these steps:

Isolate the variable on one side of the inequality by performing the same operation on both sides of the inequality.

If the inequality is a "greater than" or "less than" inequality, you will need to reverse the inequality if you multiply or divide by a negative number.

Solve the inequality by isolating the variable.

Check your solution by plugging it back into the inequality and making sure it is true.

Graph the solution in number line

Example:

x + 2 > 6

x > 4

(x+2) > 6

x > 4 (by isolating x)

It is important to remember that if we multiply or divide by a negative number, we have to reverse the inequality sign.

It is also important to remember that after solving the inequality, it is necessary to check the solution by substituting it back into the original inequality to make sure it works.

ABC and XYZ are similar. Find the missing side length.

Answers

Hello there!

∆ABC and ∆XYZ are simular so:

[tex] \displaystyle \frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ} \\ \\ \frac{2}{10} = \frac{5}{25} = \frac{AC}{20} \\ \\ \frac{1}{5} = \frac{1}{5} = \frac{AC}{20} \\ \\ \frac{AC}{20} = \frac{1}{5} \\ \\ AC = \frac{20 \times 1}{5} = 4[/tex]

Answer: 4

Answer:

4

Step-by-step explanation:

We have to find length of AC in ΔABC

Since ΔABC is similar to ΔXYZ, the corresponding sides of ΔABC to the corresponding sides of ΔXYZ should be of similar ratio

Equivalently stated

[tex]\dfrac{AB}{XY} = \dfrac{BC}{YZ} = \dfrac{AC}{XZ}[/tex]

Plugging in known values we get


[tex]\dfrac{AB}{XY} = \dfrac{2}{10} = \dfrac{1}{5}\\\\\dfrac{BC}{YZ} = \dfrac{5}{25} = \dfrac{1}{5}\\[/tex]

Thus we see that the length of each side of ΔABC is one-fifth the length of each corresponding side of ΔXYZ.

So

[tex]AC =\dfrac{1}{5} XZ = \dfrac{1}{5} \cdot 20 = 4[/tex]

f(x)=4x-3 find f-1(x)

Answers

Answer:

3 x −3

Step-by-step explanation:

Use the given functions to set up and simplify f−x.

help asap yall
What is the solution for x2 + 4x > 77?

x < –7 or x > 11
x < –11 or x > 7
–7 < x < 11
–11 < x < 7

Answers

Answer:

x <−11 or x >7

Step-by-step explanation:

Answer:

x < –11 or x > 7p

explanation:

I got it right on the test.

Question 3
Suppose you take a trip that covers 147.4 km and takes 8.6 hours.
What is your average speed (km/h)?
Question 4
1 pts
1 pts

Answers

Answer:

17.13953 mph

I just did it these ways with a speed calculator

Step-by-step explanation:

What are the 3 coordinates?

Answers

The three types of co-ordinates are:

(i) Cartesian co-ordinates

(ii) cylindrical co-ordinates

(iii) spherical co-ordinates

Which coordinate system is used?

Three digits are used to indicate distances in the three-dimensional flat space of the Cartesian coordinate system, often known as the "rectangular coordinate system." The East/West direction, North/South direction, and Elevation are represented by the first two digits, respectively.

The Cartesian coordinate system is a prime example of a coordinate system. Two perpendicular lines are picked in the plane, and a point's coordinates are assumed to be the signed distances between the lines.

So, three types of co-ordinates are:

(i) Cartesian co-ordinates

(ii) cylindrical co-ordinates

(iii) spherical co-ordinates

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Malik uses an app on his phone to track how far he rides his bike. Yesterday, he biked a new trail in a total of 57.5 minutes, including a 2.5-minute water break. The app notified Malik that he rode 10 miles. What was Malik's average pace while biking?

Answers

The average pace of Malik is 0.182 mile per minute.

What is Speed?

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Distance Malik rode on a trail = 10 miles

Malik biked a new trail in a total of 57.5 minutes.

But he took 2.5 minutes as water break.

Total time Malik took to cover the distance = 57.5 minutes - 2.5 minutes

                                                                        = 55 minutes

We have to calculate the average pace of Malik which is actually the speed.

Speed = Distance / Time

           = 10 miles / 55 minutes

           = 0.182 mile per minute

Hence Malik rides in an average pace of 0.182 mile per minute.

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is 333 is in the sequence 2,5,8,11,14...why​

Answers

No 333 is not in the sequence

What alternate for of genes do nucleic acids have that allows them to offer variability?

Answers

Nucleic acids offer variability through their ability to undergo mutations.

What is mutation?

Mutation is a process in which a gene or organism undergoes a change in its DNA sequence, resulting in a new trait or altered function. Mutations can occur naturally or be induced by environmental factors such as radiation, chemicals, or viruses. Mutations can be beneficial, harmful, or have no effect on the organism. Some mutations can cause genetic disorders or even cancer.

Mutations are changes in the sequence of nucleotides that make up a gene, resulting in a different form of the gene. These mutations can lead to different traits in the organism, providing a greater range of variability in the gene pool. Mutations can be caused by environmental factors such as radiation or chemicals, as well as random changes that occur as DNA is replicated. The range of variability offered by mutations is one of the main reasons why organisms are able to adapt to their environment.

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How do you tell if a graph is exponential growth or decay?

Answers

To tell if a log graph is a growth or decaying, look at the slope of the line. If the slope is positive, then it is growth; if the slope is negative, then it is decay.

A positive slope indicates that the value is increasing over time, while a negative slope indicates that the value is decreasing over time. To find the slope, take two points on the line and calculate the change in the y-value divided by the change in the x-value.

If the answer is positive, the graph is growth; if the answer is negative, the graph is decay. Additionally, you can look at the y-intercept of the graph, which is the value where the line meets the y-axis. If the y-intercept is positive, the graph is growth; if the y-intercept is negative, the graph is decay.

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what are the fact families for 4 4 4 4 and 16

Answers

4•4=16
4•4=16
16/4=4
16/4=4

If I’m not missing something

diagnosis codes are required to explain the ________ for the services provided.

Answers

Answer:

medical necessity

Is 904 divisible by 9?

Answers

No , 904 is not divisible by 3 because sum of 9+0+4 =13 which is not divisible by 3 so number 904 is not divisible by 3

There are 301 numbers less than 904 divisible by 3, as per arithmetic progression.

What is an arithmetic progression?

"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."

Let, there are 'n' terms less than 904 divisible by 3.

Now, the first term divisible by 3 is(a) = 3.

The second term divisible by 3 is = 6.

Therefore, the common difference between terms divisible by 3 is(d)

The last term that is less than 904 and divisible by 3 is() 903.

Now, if we compare it with arithmetic progression, then:

The required number is 301.

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please help i need this assigment done today!! ​

Answers

Answer:

Step-by-step explanation: Bro honestly math is some bull

n electrician invested $9,000 in an investment account paying 2.45% interest compounded semiannually. After 30 years, the value of the account will have a balance of $18,685.71. If the electrician's investment was compounded continuously instead of twice per year, what would be the difference in the account balance after 30 years?

$42.03
$80.38
$83.63
$165.55

Answers

The difference in the account balance after 30 years if the electrician's investment was compounded continuously instead of twice per year would be $83.63.

What is value?

Value is the worth of something that is measured in terms of its quality, importance, and usefulness. It is a fundamental concept in economics, finance, and business, as it reflects the perceived benefits of a good or service compared to its cost. Value can be subjective, as it is often based on personal opinion or preference. It can also be quantified and measured in terms of money, time, or resources.

Compound interest is the concept of earning interest on the initial principal and any interest previously earned. When the interest is compounded continuously, the interest is added to the principal more frequently than when it is compounded semiannually, resulting in a larger final balance.

The electrician's initial investment of $9,000 compounded semiannually at 2.45% for 30 years would have a balance of $18,685.71.

However, if the same investment had been compounded continuously at 2.45%, the balance after 30 years would be $18,769.34, which is $83.63 more than the semiannually compounded balance.

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Answer:

$83.63

Step-by-step explanation:

The rest are wrong.

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A nurse is explaining the pediatric unit's quality improvement (QI) program to a newly employed nurse. Which of the following would the nurse include as the primary purpose of QI programs?a. Evaluation of staff members' performancesb. Determination of the appropriateness of standardsc. Improvement in patient outcomesd. Preparation for accreditation of the organization by the Joint Commission on Accreditation of Healthcare Organizations (JCAHO) in the article by corina and blau, the authors describe some effects of right hemisphere damage on signing ability. the research reveals that prairie dogs are considered a keystone speciesbin the western u.s. because of thier extensive burrowing activities and their role as a prey animal. Explain why these characteristics would result in the keystone role of prairie dogs in their ecosystem.a. Prairie dogs provide protection and shelter for small animals and harm predator animals in the ecosystem.b. Without the prairie dogs, the ecosystem might collapse due to lack of protection and shelter for small animals and lack of prey to sustain large predator animals.c. Prairie dogs dig underground burrows, reducing aeration in the soil and preventing excessive growth of plants above ground.d. The burrows prairie dogs dig underground provide shelter for other species of animals as well as protection from predators, but prevent growth of plants above ground. What were the Aztec people well-known for?for being farmersfor being fishermenfor being sculptorsfor being warriors At age 15 Greg was about to enter his first long-distance race. If he succeeded in finishing hed be the first 15 year old in his city to have done so. Hed been training for months running between 50 and 60 miles each week. Now hed rest for a few days awaiting Sunday and the event that would surly make him famous He knew he was ready he could hawks wait Which word describes Gregs mood1. Confident 1. Confused1 silly Worried An electric current i = 0.55 a is flowing in a circular wire with radius r = 0.055 m. Express the magnetic field vector generated at the center in terms of the current the radius vector R. TRUE/FALSE. A context diagram shows the scope of the organizational system, system boundaries, external entities that interact with the system, and major information flows between entities and the system. you purchase one microsoft december $145 put contract for a premium of $8.10. what is your maximum possible profit? assume each contract is for 100 shares. refer to table 13-9. for the firm whose production function and costs are specified in the table, its total-cost curve is according to your textbook, the most common cause of long-term disability and death among young adults is Which of the following is not the solution of system of inqualities(1,0) (8,0). (0,4). (3,0) A person who experiences defensive self-esteem is ________ to demonstrate self-serving bias and is ________ to feel angry when criticized. the research on taste-aversion learning is noteworthy in the understanding of learning because it demonstrated that: If a function of a class is static, it is declared in the class definition using the keyword static in its ____.a. return type b. parametersc. heading d. main function besides detoxification of drugs such as acetaminophen, the liver is involved in and regulates several different biochemical pathways. which of the following is not a biochemical activity of the liver? question 34 answer choices a. regulation of carbohydrate metabolism such as glycogenolysis, glycogenesis, and gluconeogenesis b. production of lipases and bile for fat digestion c. deamination of amino acid and conversion of the resulting ammonia to urea d. lipid metabolism, including cholesterol and lipoprotein synthesis the eastern margin of north america has always been a passive continental margin. True or false a.5 - 10 points how does insertion sort work? what are the steps? which type of business would be most likely to use a job order costing system explain how each of the following policies redistributes income across generations. is the redistribution from young to old or from old to young? According to Miller, a fundamental problem of speech perception is A. speech is continuous rather than discreteB. perception of speech is noncategoricalC. we pay attention to certain acoustic properties of speech but ignore othersD. hearing is a less accurate sense than visionE. missing phonemes can render words incomprehensible