The population of a large city can be calculated using the function P=345,000(1.01). What can you say about the rate of change from year 1 to year 2 compared to the rate of change from year 9 to year 10?

Answers

Answer 1

Rate of change (ROC) refers to how quickly something changes over time.

What is rate of change?The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or slowdown of changes (i.e., the pace). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.The ratio between the change in the values of the y variables and the change in the values of the x variables is known as the rate of change.

Given data :

The rate of change will be the same for all years. The rate of change is 7%. The . basic formula for this equation is: I(1+R)^T, where I = Initial amount, R = Rate of growth, and T = Time. So the R here is 0.07, or 7%. The growth RATE is constant, the growth AMOUNT will increase each year.

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Related Questions

3x² - 2x + 1 = [?]
x=4

Answers

Answer:

3x²-2x+1=?

3(4²)-2(4)+1=?

3(16)-8+1=?

48-8+1=?

40+1=41

what is the slope of the line through the points (-2,-1) and (8,-3)

Answers

Answer:

Step-by-step explanation:

Using slope m = y_2-y_1/x_2-x_1 to find the solution slope that passes through those two-point.

Point-slope form into y-intercept form.

Answer:

For finding slope

we have the formula

m = y2 - y1/ x2 - x1

x1 = (-2)

x2. = ( 8)

y1. = (-1)

y2 =(-3)

putting the value of this in the formula we get,

m = (-3)-(-1)/8-(-2)

m = (-3+1)/8 + 2.

m = (-2)/10

m = (-1)/5.

m = (-1)/5

From this diagram, select the
pair of lines that must be
parallel if 27 and 25 are
supplementary. If there is no
pair of lines, select "none."

Answers

Answer:

l

Step-by-step explanation:

Answer:

Lines L and n are parallel

Explanation -

In the question it is given that angle 7 and angle 5 are supplementary.

which means that sum of this angle is 180°

so line L and n are parallel

What are some limitations in using a line of best fit drawn on a scatter plot to make predictions?
a.
There may be too much information given on the scatter plot.
b.
The line may represent a negative or positive correlation.
c.
It is possible to draw different lines to approximate the same data. The line of best fit is only an estimate.
d.
The axes of the scatter plot may be labeled incorrectly.


Please select the best answer from the choices provided

A
B
C
D
Mark this and return

Answers

Answer: It is possible to draw different lines to approximate the same data. The line of best fit is only an estimate.

X= ABC+ AB+ ABC Simplify followings

Answers

Answer:

X = ABC+ AB+ ABC

X = AB(C+1+C)

X = AB(2C+1)

find the measure of angle S and angle TRS pls help

Answers

Answer:

60°

Step-by-step explanation:

since angle on straight line is 180° you take the sum of the exterior angle of R and its interior angle then divide both sides by the coefficient of y to find y then things get easier from there

Answer:

Step-by-step explanation:

Plan

7y and 5y are made on the same straight line. Therefore they are supplementary and add to 180 degrees. <s has to be found by finding 3x and 5y first. Find <s by solving 3y + 5y + x = 180 degrees.

Solution

7y + 5y = 180 degrees               Combine the left

12y = 180 degrees                      Divide by 12

12y/12 = 180/12

y = 15

3y + 5y + x = 180                         Combine the left side

8y + x = 180                                  Substitute 15 for y

8*15 + x = 180                               Combine

120 + x = 180                                Subtract 120 from both sides

120 -120 +x =180 - 120                 Combine

x  = 60

Answer

s = 60 degrees

<TRS = 5y = 75

For the first 8 months at his new job, James gets
an increase in pay. What is the rate at which
James receives a pay increase? Approximately
what was his starting pay? Write an equation to
model the relationship.

Answers

James receives a pay increase of 100% per month and has a starting salary of $500.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the rate of pay increase and a represent the initial pay.

Let us assume that he had received 128000 after the 8 months. hence:

128000 = ab⁸   (1)

Also in the 10th month, he had received 512000, hence:

512000 = ab¹⁰    (2)

From the both equations:

a = 500, b = 2

rate of increase = 200% - 100% = 100%

James receives a pay increase of 100% per month and has a starting salary of $500.

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Expression Math problem...help and get 15 pts!

Answers

When h = 0 ,  [f(x + h) - f(x)]/h  = 2x +2 for the given expression.

The missing expression is  f(x) = x² + 2x.

What is formula of difference quotient ?

f(x+h)-f(x)/h is called the formula of difference quotient.

When h---> 0 ,

the expression f'(x) = (f(x-h) - f(x)) / h is the equation for tangent to the line

Here the the expression is

f(x) = x² + 2x

Determining f(x + h) by substituting x = x + h on both sides of the given f(x).

Then f(x + h) = (x + h)² + 2(x + h)

= x² + 2xh + h² + 2x + 2h

the difference f(x + h) - f(x).

f(x + h) - f(x) = [x²  + 2xh + h²  + 2x + 2h] - [x² + 2x]

= 2xh + h² + 2h

Divide the difference from h as in the formula of difference coefficient

[f(x + h) - f(x)]/h = (2xh + h² + 2h) / h

= 2x + h + 2

So, when h = 0 ,  [f(x + h) - f(x)]/h  = 2x +2

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In(2e^9) in logarithmic expression

I’m having trouble with all of the “In” section and very confused

Answers

In logarithmic form, we get In(2e^9)= ln(2)+9.

LogarithmsWe define the logarithm as the power to which any number must be raised to get few other values.Exponentiation is the reverse process of logarithm.

We are given,

 ln(2[tex]e^{9}[/tex])

We know that, ln(ab) = ln(a) + ln(b)

So we get,

 ln(2[tex]e^{9}[/tex]) = ln(2)+ln([tex]e^{9}[/tex])

Since ln(m^n)=n ln(m)  

And ln(e)= 1, we will get,

ln(2[tex]e^{9}[/tex]) = ln(2) +9 ln(e)

          = ln(2) +9

Hence, the logarithmic form, we get In(2e^9)= ln(2)+9.

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Brainliest to whoever answers :) Highly appreciated

Answers

Answer:

the answer is L

Step-by-step explanation:

rounding up to any number/decimal requires the digit before the specified digit to be 5 or greater.
rounding down requires the digit to be 4 or less.
if the estimated time to the nearest 0.01 of a second is 35.20 then the actual race time could be from 35.195 to 35.205 since any number between could be rounded to 35.20

simplify. evaluate. ​

Answers

Answer:

[tex]\frac{1}{18}[/tex]

Step-by-step explanation:

The best way to solve this problem is to simplify each factorial one by one!

Starting at the numerator, the factorial for 2! is just 2, while the factorial for 5 is 120.

At the denominator, the factorial of 6! is 720, while the factorial for 3 is 6.

To write this out, we're given: [tex]\frac{(2) (120)}{(720) (6)}[/tex]

Just simply multiply and then divide, and we are given 1/18

Which line is perpendicular to a line that has a slope of -5/6?

Answers

Answer:

Line LM

Step-by-step explanation:

First, we need to know what the slope is of a line that would be perpendicular to a line with a slope of -5/6. To find this, we take the reciprocal and multiply it by -1. Therefore, the line we are looking for needs to have a slope of 6/5.

Based on the fact that the slope is positive, we can eliminate lines PQ and JK as they have a negative slope. This leaves us with lines LM and NO.

To find out whether or not it is between LM and NO, you could eyeball it by looking at the graph and simply counting which might be faster if you understand how to do that (rise/run), or you can use the pair of coordinates given to you on each line to calculate for slope.

Line LM - [tex]\frac{-3-3}{-5-0}=\frac{-6}{-5}=\frac{6}{5}[/tex]

Line NO - [tex]\frac{-5-0}{-6-0}=\frac{-5}{-6}=\frac{5}{6}[/tex]

Based on this, we know that line LM is perpendicular to a line that has a slope of -5/6.

If you need help on calculating slope from two points, I'd suggest watching this video: https://www.brightstorm.com/math/algebra/linear-equations-and-their-graphs/finding-the-slope-of-a-line-from-2-points-problem-1/#:~:text=Use%20the%20slope%20formula%20to,second%20points%20are%20x2%2C%20y2.

If a person is chosen at random in this survey, what is the P(decaf or sugar)?

HELP PLS!

Answers

The value of the probability P(decaf or sugar) is 0.41

How to determine the probability?

From the table, we have:

P(decaf) = 0.05 + 0.08 + 0.09 = 0.22

P(sugar) = 0.19 + 0.08 = 0.27

P(decaf and sugar) = 0.08

The required probability is:

P = P(decaf) + P(sugar) - P(decaf and sugar)

This gives

P = 0.22 + 0.27 - 0.08

Evaluate

P = 0.41

Hence, the value of the probability P(decaf or sugar) is 0.41

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Which of the following equations is equivalent to the formula for velocity

Answers

where are the answer choices?

but the answer either way has to be:
v = d/t . v is velocity, d is for distance, and t is for time

What is the domain of the given function?
{x|x = -6, -1, 0, 3}
{y ly=-7, -2, 1, 9}
{x|x=-7, -6, -2, -1, 0, 1, 3, 9}
y ly=-7, -6, -2, -1, 0, 1, 3, 9}

Answers

Step-by-step explanation:

Easy buddy....

_________________________________

Remember, from now on, wherever the function domain is asked

They mean the same inputs or xs of the function.

Now you can answer them yourself but I like to help you to do it buddy.

_________________________________

The first function's domain is :

D = { -6 , -1 , 0 , 3 }

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

The second function's domain is :

D = { -7 , -6 , -2 , -1 , 0 , 1 , 3 , 9 }

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

The domain of the function in the table given is:

A. {x|x = -6, -1, 0, 3}.

In any given function, all x-values (input) make up the domain of the function, while corresponding y-values (output) make up the range of the function.

In the table given, the x-values (input) are -6, -1, 0, and 3.

Therefore, the domain of the function in the table given is:

A. {x|x = -6, -1, 0, 3}.

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Find the equation of a line that contains the points (−2,−4) and (−5,4). Write the equation in slope-intercept form, using fractions when required.

Answers

The equation would be  y+ 3/8x+9/4.

Lets try to explain in the further steps to calculate the equation,

Slope formula: (y₂ - y₁) / (x₂ - x₁)

First, plug in these values of the two given points.

[tex]= > (-5+2) / (4+4)\\= > -3/8[/tex]

Slope = -3/8

To find the equation of the line, (y- y1) = m* (x-x1)

So by putting the values into the above equation we get,

[tex]= > (y-4) = -3/8(x+5)\\= > y-4 = -3/8x - 15/8\\= > y + 3/8x + 4 - 15/8\\= > y + 3/8x + 9/4[/tex]

Hence the equation is [tex]y+ 3/8x+9/4.[/tex]

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Find a solution to the linear equation 11x−y=−11.Find a solution to the linear equation 11x−y=−11.

Answers

Answer:

(0,11)

Step-by-step explanation:

If we let x=0, then -y = -11, and so y=11.

Thus, (0,11) is a solution to the linear equation.

which of the following are characteristics of the graph of the square root parent function

Answers

Answer:

C

Step-by-step explanation:

Simplify each expression.
10x³y²
5x³y
x = 0, y = 0

Answers

Step-by-step explanation:

Very easy the value are given apply the value for X and y

In a study designed to examine the association of breakfast intake and body mass index (BMI), the National Heart, Lung, and Blood Institute Growth and Health Study recruited 2,379 adolescent girls. Frequency of breakfast consumption, dietary calcium and fiber, and BMI were recorded over a period of nine years. The study found that girls who ate breakfast more often tended to have a lower BMI [Source: J Am Diet Assoc. (2005) 105(6):938–45].
Which of the following conclusions can you make on the basis of this study?

Answers

From the given study, we can tell that the conclusion is; The frequency of eating breakfast is associated with lower BMI in adolescent girls.

How to arrive at statistics conclusions?

From the study in the question, we see that a national institute is trying to examine the association of breakfast intake and body mass index (BMI).

Now, in the research we saw that the frequency is being counted about the type of foods being eaten by those surveyed to find out the impact on BMI.

From the study, we see that girls who ate breakfast more often tended to have a lower BMI. Thus, we can say that the conclusion is that The frequency of eating breakfast is associated with lower BMI in adolescent girls.

The missing options are;

A. The frequency of eating breakfast is associated with lower BMI in adolescent girls.

B. There is no relationship between eating breakfast and BMI in adolescent girls.

C. Eating breakfast makes adolescent girls thinner.

D. Skipping breakfast can contribute to obesity in adolescent girls.

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four times a number is 48 less than 6 times the number

Answers

Answer:

the answer is 24

Step-by-step explanation:

6x - 48 = 4x

6x - 4x - 48 = 0

2x - 48 = 0

2x = 0 + 48

2x = 48

x = 24

The answer is 24 I hope that helps you

what is the area of a triangle (-4,-5),(3,-3),(3,-7)?

i will give brainliest please help quick

Answers

The area of a triangle with vertices (-4,-5), (3,-3), and (3,-7) will be 7 square units.

What is the area of the triangle?

The vertices of the triangle are (x₁, y₁), (x₂, y₂), and (x₃, y₃).

Then the area of the triangle will be

Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]|

We have

(x₁, y₁) ⇒ (-4, -5)

(x₂, y₂) ⇒ (3, -3)

(x₃, y₃) ⇒ (3, -7)

Then the area will be

Area = 1/2[{(-4) x (-3) + (3) x (-7) + (3) x (-5)} – {(-5) x (3) + (-3) x (3) + (-7) x (-4)}]

Area = 1/2 [(12 – 9 – 21) – (- 15 – 9 + 28)]

Area = 1/2[-18 + 4]

Area = 1/2 × 14

Area = 7 square units

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The figure below is a scatterplot for paired data (x, y), with x values on the horizontal axis and y on the vertical axis. The tick marks are spaced 10 units apart on both axes. (Note that to answer the following questions you don't need the actual values for each tick mark, only differences between them.) 00 00 Oo oo 8 Oo oo (1) What are plausible values for the standard deviations of x and y, respectively? (2) What is a plausible value for the slope of the SD line? (3) Given your answer to part (b), what is a plausible value for the slope of the regression line?

Answers

The plausible values for the SD(x) are 6.67 and for SD(y) is 3.37, and the slope of the line is 0.5.

What is a scatter plot?

Scatter plots are graphs that represent individual points of data and are labeled with quantitative values on both the co-ordinate axes, meaning that there is only one projection on the x-axis and one projection on the y-axis for each point.

We have a scatter plot shown in the table:

1) As we can see in the scatter plot all data are within 3 standard deviations of the mean:

Standard deviation = SD

6SD(x) = 40

SD(x) = 40/6 = 6.67

6SD(y) = 20

SD(y) = 20/6 = 3.37

2) Slope of the line:

= SD(x)/SD(y) = (20/6)/(40/6) = 1/2 = 0.5

3) It is plausible to take the slope of the line as 0.5 because the slope of the line is the ratio of the change in y to the change in x.

Thus, the plausible values for the SD(x) are 6.67 and for SD(y) is 3.37, and the slope of the line is 0.5.

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A company decides to offer a monetary incentive for employees who log a specified number of hours spent exercising in an attempt to improve employee health. The average health score (higher = better) of the 75 employees who logged enough hours was 87. The mean health score for all employees (population) was 85, with a population standard deviation of 6.5. Calculate the standard error of the mean

Answers

The standard error will be equal to 0.75.

What is the standard error?

The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean.

The standard error will be calculated by using the formula:-

SE = [tex]\sigma[/tex] / √n

Here [tex]\sigma[/tex] is the standard deviation and n is the sample number.

SE = 6.5 / √75

SE = 0.75

Therefore the standard error will be equal to 0.75.

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Evaluate the expression.

Answers

Answer: 18


Explanation:

Answer:

18

Step-by-step explanation:

Using order of operations:

[tex] \frac{15 - 9}{3} (19 - 10)[/tex]

[tex] \frac{6}{3} (9)[/tex]

[tex]2(9) = 18[/tex]

Difficult one. Need help with work shown.

Answers

Answer:

the length of the fence = 420 ft

The total area = 8000 ft²

Step-by-step explanation:

the fence has the same length as the perimeter of the rectangle

then

the length of the fence = 2×(160+50) = 420 ft

………………………………………………………………

The total area enclosed by the fencing = the area of the rectangle

Then

The total area = 160×50 = 8000 ft²

Answer:

see explanation

Step-by-step explanation:

the perimeter (P) of a rectangle is calculated as

P = 2(length + width)

  = 2(160 + 50)

  = 2 × 210

  = 420 ft ← amount of fencing needed

the area (A) of a rectangle is calculated as

A = length × width = 160 × 50 = 8000 ft²

Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?

Answers

The true option about the system of linear equation is that the system can only be independent and consistent.

How to illustrate the equation?

It should be noted that the system is consistent as it can illustrate more than a solution.

Also, it can't be independent and dependent at the same time as depicted in some of the option given.

In this case, true option about the system is that the system can only be independent and consistent.

The complete question is:

Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?

The system can be either inconsistent or consistent.

The system can be either independent or dependent.

The system can only be independent and consistent.

The system can only be dependent and inconsistent.

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Find the area of the rectangle.
A rectangle is shown. The left side is labeled with the expression 8 x. The top side is labeled with the expression 7 x plus 1. (1 point)
15x + 1
56x2 + 8x
56x + 8
15x2 + 9x

Answers

Answer:

56x² + 8x

(second option listed)

Step-by-step explanation:

area: length × width

length: 7x + 1

width: 8x

(8x)(7x + 1)

{distribute 8x}:

(8x)(7x):  8x × 7x = 8 · 7 · x · x = 56 · x · x = 56x²

(8x)(1) = 8x

area = 56x² + 8x

so, the area of this rectangle is 56x² + 8x

Answer:

56x² + 8x

[answer B]

Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown below:

A coordinate grid is shown from negative 5 to 0 to 5 on both x- and y-axes. A polygon ABCD has A at ordered pair 2, 3, B at ordered pair 4, 4, C at ordered pair 3, 1, D at ordered pair 2, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 1, 3, B prime at ordered pair negative 3, 4, C prime at ordered pair negative 2, 1, D prime at ordered pair negative 1, 1.

Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?

Answers

The sequence of transformations used to obtain figure A'B'C'D'from figure ABCD are a reflection across the y-axis followed by a horizontal translation 1 unit right

Complete question

Figure ABCD is transformed to figure A'B'C'D', as shown below: (see attachment)

Which of the following sequences of transformations is used to obtain figure A'B'C'D'from figure ABCD?

How to determine the transformation?

From the attached figure, we can see that:

ABCD and A'B'C'D' are on either sides of the y-axis.

This means that ABCD is first reflected across the y-axis.

ABCD is 2 units from the y-axis, while A'B'C'D' is 1 unit from the y-axis.

This means that the reflection is followed by a translation.

The unit of translation is:

Unit = 2 - 1

Evaluate

Unit = 1

1 represents a right translation

Hence, the sequence of transformations are a reflection across the y-axis followed by a horizontal translation 1 unit right

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The tables represent the functions f(x) and g(x).
Which input value produces the same output value for the two functions?

x = –12
x = –9
x = –6
x = –3

Answers

A function assigns the values. The correct option is C, x=-6.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A.) When the value of x is -12,

f(-12) = 2/3(-12) + 7 = -1

g(-12) = 2(-12) + 15 = -9

B.) When the value of x is -9,

f(-9) = 2/3(-9) + 7 = 1

g(-9) = 2(-9) + 15 = -3

C.) When the value of x is -6,

f(-6) = 2/3(-6) + 7 = 3

g(-6) = 2(-6) + 15 = 3

D.) When the value of x is -3,

f(-9) = 2/3(-3) + 7 = 5

g(-9) = 2(-2) + 15 = 11

Hence, the correct option is C, x=-6.

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Im the years following World War II, the United States established a policy of containment toO keep the countries of Eastern Europe from becoming communist.O ensure that communism was contained to the Soviet Union only.O eliminate all communist governments throughout the world.O prevent the spread of communism outside of Eastern Europe. Is this correct? If not then whats the answer????? (image below) Solve equation -15+n=-9 Place these events in chronological order.task 1A"TilesThe OAS is established.The United States, Great Britain, and the Soviet Union sign the Limited Test Ban Treaty.The United States launches the Bay of Pigs Invasion.Fulgencio Batista rises to power in Cuba.The United States and the Soviet Union face off in the Cuban Missile Crisis.Fidel Castro establishes a communist government in Cuba.The Monroe Doctrine is created. Pam asks you to help with the catering for the funeral. You decide to use juice concentrate to serve as a refreshing drink. To create this delicious drink, you must dilute the concentrate in the ratio 1:4. You have 2 litres of concentrate. What is the volume of water needed? Which of these forms due to the force of compression?Which type of basin forms at divergent boundaries? Kegler Bowling buys scorekeeping equipment with an invoice cost of $165,000. The electrical work required for the installation costs $17,000. Additional costs are $3,400 for delivery and $11,865 for sales tax. During the installation, the equipment was damaged and the cost of repair was $1,600. What is the total recorded cost of the scorekeeping equipment? Read the excerpt from the end of paragraph two of Economy from Walden.As for the rest of my readers, they will accept such portions as apply to them. I trust that none will stretch the seams in putting on the coat, for it may do good service to him whom it fits.How does this imagery illustrate Thoreaus message to readers?It suggests that the philosophy provided in the essay is as easily forgotten as an old coat.It makes readers more comfortable with the idea of reading the essay if they can view it as if it were their own words.It suggests that adopting the philosophy in the essay should be as comfortable as putting on a well-tailored coat.It makes readers think more deeply about the fashions that are popular in society, such as coats. What is the coefficient in this expression?2/5O2/5Op0502 Internet service providers are an example of organizations that provide both products and services. true or false If x=0,what is the value of (8x)^0 Suppose a piece of equipment cost $35,000 and has accumulated depreciation of $10,000. It is sold for $15,000 cash. What is the journal entry to record the sale of the equipment what type of modulation does the omni-directional antenna transmit? let g(x) be a vertical shift of f(x)=-x up 4 units followed by a vertical stretch by a factor of 3. Write the rule for g(x). The atlantic cod (gadus callarias) is a fish which lays about 5 000 000 eggs in its lifetime. On average, only two of these eggs survive to become adult cod. How does this promote evolution? What is the set of real solutions for |x| ^2 - |x| -2 = 0 A disadvantage of extending credit to customers is that the cost may ______ the additional sales revenue received through credit transactions. Describe the position and attachments of the parietal pericardium of the heart of the fetal pig. Which graph represents y=12+2x Need help with this question!