compare using >, =, or <. 3 _____ -3

Answers

Answer 1

Answer:

=

Step-by-step explanation:


Related Questions

write the general antiderivative. (use c for the constant of integration. remember to use absolute values where appropriate.) 1 8 x 1 8x 1 8 x dx

Answers

The integration of the given function is as follows.

What is anti derivative?

In calculus, an antiderivative, inverse derivative, primitive perform, primitive integral or integral of a perform f could be a differentiable perform F whose spinoff is adequate to the initial perform f. this could be explicit symbolically as F' = f

Main body:

f (x) = x/8 +1/8x + (1/8)^x

to find the anti derivative , we need to integrate the function;

apply sum rule:

[tex]\int\ f{(x)} + g (x)\, dx[/tex] = [tex]\int\ f {(x)} \, dx + \int\ g {(x)} \, dx[/tex]

[tex]\int\ {(x/8)} \, dx[/tex] = x² /16

[tex]\int\ f {(1/8x)} \, dx[/tex] = 1/8 ln|x|

[tex]\int\ f {(1/8^x)} \, dx[/tex] = [tex]-\frac{1}{3\ln \left(2\right)\cdot \:8^x}[/tex]

hence

[tex]\int \frac{x}{8}+\frac{1}{8x}+\frac{1}{8^x}dx[/tex]= [tex]\frac{x^2}{16}+\frac{1}{8}\ln \left|x\right|-\frac{1}{3\ln \left(2\right)\cdot \:8^x}+C[/tex]

To know more about antiderivative , visit:

https://brainly.com/question/21627352

#SPJ4

Ignoring resistance, a sailboat starting from rest accelerates (dv/dt) at a rate proportional to the difference between the velocities of the wind and the boat. (a) The wind is blowing at 20 knots, and after 1 half-hour, the boat is moving at 10 knots. Write the velocity v as a function of time t. (b) Use the result of part (a) to write the distance traveled by the boat as a function of time.

Answers

V=Vw-ce^-kt is the velocity V as a function of time t when wind is blowing 20 knots and after 1 half hour the boat moves at 10 knots

What is acceleration?

Acceleration is a vector quantity that is defined as the rate at which an object's velocity varies. When an object's velocity changes, it is said to be accelerating.

On occasion, sports broadcasters will suggest that a person is accelerating if they are traveling quickly. But speed has nothing to do with acceleration. Even while traveling very quickly, a person may not be accelerating. Changing the speed at which an item is travelling is what acceleration is all about. A substance is not accelerating if its velocity is not changing. The information on the right depicts an object that is speeding as it moves northward. Throughout time, the velocity is shifting. Every second, the velocity is changing by a fixed amount of 10 m/s.

How to solve?

Based on the information from the exercise, we have the equation:

dt/dv=k(Vw−V)

where V is velocity of the boat in knots/hour, tt is time in hours, Vw is velocity of wind.

This equation can be written:

dv/dt = k(Vw -V)

dv/Vw-V =kdt

Now, the variables are separated, tt appears only on the right side, and v only on the left. Integrate the left side in relation to v, and the right side in relation to t:

dv/Vw-V =kdt

∫dv/Vw-V =∫kdt

let Vw -V = u

-dv=du

dv= -du

∫-du/u =k∫dt

-ln|u| =kt +C

-ln|Vw-V| = kt + C

V=Vw-ce^-kt

To learn more about acceleration, visit:

https://brainly.com/question/16988929

#SPJ4

if gear \text{a}astart text, a, end text is rotated by the motor at a rate of 100 \text{ rpm}100 rpm100, start text, space, r, p, m, end text, what is the number of revolutions per minute for gear \text{c}cstart text, c, end text ?

Answers

The number of revolution per minute for Gear C is 200 rpm

It is given that

The gear ratio r:s is ratio of number of teeth of two connected gear

Also , the gear A is rotated at rate of = 100rpm

Since, Gear A has 20 teeth and Gear B has 60

Ratio = r : s

=> 20 : 60

=> 1 : 3

Thus , the ratio of number of revolution per minute for two gear is s:r

=> 3 : 1

Means Gear A turns at 3 rpm , Gear B turns at 1 rpm

Similarly , for Gear B and Gear C

The ratio of rpms for these two will be =>

10 : 60

=> 1 : 6

That is , when Gear B turns at 1rpm , Gear C turns at 6rpms

Therefore, If Gear A turns at 100 rpms

the Gear B turns at = 100/3 rpms

Hence , Gear C turns at = 100/3 × 6

=> 200 rpms

I've answered the question in general as the question is incomplete

To know more about Ratio here

https://brainly.com/question/13419413

#SPJ4

Factoring trinomials 8x^2 + 2x -3

Answers

Answer:

(2x - 1) (4x + 3)

Step-by-step explanation:

a circle has a radius of 8 what is its circumference do not round

Please help me!

Answers

Answer:

C = 50.27

Step-by-step explanation:

Hope this helps!

Answer:

C = 16 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi * r

C = 2 * pi * 8

C = 16 pi

Kaitlynn needs 3 pounds of fruit for a salad.
She already has 3/4 pounds of apples and 1/3 pounds of grapes.

How many more pounds of fruit does she need to buy?

Answers

answer:

1.92 pounds or 23/12 lb

step-by-step explanation:

first convert 3/4 and 1/3 to fractions that have the same denominator such as 9/12 and 4/12. then add the two numbers together and subtract it by 3 to get the answer. hope that helps!

the price for bananas was 75 cents per pound over last month. today, we see that it's been marked up to 81 cents per pound. what is the increase in percent

Answers

The increase in the price of the bananas = 8%

We know that the formula for percent change:

percent change = [(new value - old value)/ old value ] * 100

Here, the price for bananas was 75 cents per pound over last month. today, we see that it's been marked up to 81 cents per pound.

old value = 75 cents per pound

new value = 81 cents per pound

So, the percent increase in the price of bananas would be,

percent increase in price = [(81 - 75)/ 75 ] * 100

percent change = (6/75) * 100

percent change = 8%

Therefore, the increase is 8%

Learn about percent here:

brainly.com/question/16797504

#SPJ4

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
16 ft to 36 ft

Answers

Answer:

Step-by-step explanation:

The easiest way to do this is to clear the decimal by multiplying the numerator and the denominator by

10

.

You can reduce the fraction later.

40

m

48

m

2) Reduce the fraction to its simplest form

Cancel out

8

from the top and the bottom

5

m

6

m

answer

This answer means that the numerator and denominator of the given fraction

4

m

4.8

m

are in a

5

:

6

ratio relationship with each other.

Check

Is

4

4.8

equal to

5

6

 

?

Cross multiply

(

4

)

(

6

)

should be equal to

(

5

)

(

4.8

)

24

is equal to

24.0

C

h

e

c

k

This graph shows the different gang-related activities reported in small and large communities.

A graph titled Report of Gang Related Criminal Activity shows activities on the horizontal axis and percentage of people reporting on the vertical axis. 15% reported aggravated assault. 10% reported burglary. 23% reported drug sales. 47% reported graffiti. 8% reported larceny/theft. 6% reported motor vehicle theft. 5% reported robbery.

According to the graph, which gang-related activity is least reported in a large community?

graffiti
robbery
drug sales
aggravated assault
Mark this and return

Answers

Based on the graph showing the different gang-related activities reported in small and large communities, a gang-related activity which is least reported in a large community is: B. robbery.

What is a pie chart?

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors.

Additionally, a pie chart is generally considered as the best graph to be used in graphically representing percentages and relative proportions.

According to the graph, we can logically deduce the following percentages of people that reported the different gang-related activities in small and large communities;

Aggravated assault = 15%.Burglary = 10%. Drug sales = 23% Graffiti = 47% Larceny/theft = 8% Motor vehicle theft = 6%Robbery = 5%

In conclusion, robbery is the least reported gang-related activity in a large community with a percentage of 5 percent (5%).

Read more on pie chart here: brainly.com/question/23608372

#SPJ1

ways 3 people can divide a 10 segment into a equal amount of shares

Answers

The number of ways to divide the shares into 10 equal segments is 120

How to determine the to divide the shares into equal segments?

from the question, we have the following parameters that can be used in our computation:

Total number of segments, n = 10

Numbers to people, r = 3

The number of ways of dividing the segment is then calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 10 and r = 3

Substitute the known values in the above equation, so, we have the following representation

Total = ¹⁰C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have the following representation

Total = 10!/7!3!

Evaluate the quotient

Total = 120

Hence, the number of ways is 120

Read more about combination at

brainly.com/question/11732255

#SPJ1

Write the rule for the mapping, x =,1,2,3,4 and y= 1,3,5,7

Answers

Answer: y=2x-1

Step-by-step explanation:

(1,1) (2,3) (3,5) (4,7)
1=2(1)-1
3=2(2)-1
5=2(3)-1
7=2(4)-1

An online tutoring company charges $25 per session plus an annual membership fee of $45. If a member is charged $545 for the year, how many sessions did they have that year?

Answers

The total number of sessions they did in that year will be equal to 20.

What is an equation?

Equations are mathematical expressions with two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be similar to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a simple fundamental equation.

As per the data given in the question,

The charge per session = $25

Annual membership charge = $45

Total money paid = $545

Money left after paying for the annual membership = $545 - $45= $500

The total number of sessions in $500 will be,

T = 500/25

T = 20 sessions.  

To know more about the equation:

https://brainly.com/question/29657983

#SPJ1

During a certain period of time, 2,000 penguins had an annual growth rate of 19%. What will the population of penguins be after 5 years?

Answers

1 year is 19% increase
19% of 2000 : 19x2000/100: 380
5y : (380x5) + 2000
: 3900?

Please help me solve this one.
Thank u!

Answers

Answer:

20 cm²

Step-by-step explanation:

It is a right triangle.

So, using Pythagorean theorem: OS² = OR² - RS²

OR = r (radius) + 8

OS = r

RS = 16

=> r² = (r+8)² - 16²

r² = r² + 16r + 64 - 256

r² = r² + 16r - 192

16r = 192

r = 192 / 16 = 12cm²

a) 12 cm²

b) 12 + 8 = 20 cm²

which of the following would be a correct interpretation of a​ 99% confidence interval such as 4.1​5.6? question content area bottom part 1 choose the correct answer below. a. it means that​ 99% of sample means fall between 4.1 and 5.6. b. we are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of . c. there is a​ 99% chance that will fall between 4.1 and 5.6. d. it means that​ 99% of a

Answers

We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of mu.

The correct interpretation of a 99% confidence interval is that we are 99% confident that the true population mean falls in it.

The probability that it contains the true population mean is 99%.

Given  99% confidence interval : 4.1 < μ < 5.6

Then, the correct interpretation is we are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of mu.

Hence the answer is We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of mu.

To learn more about confidence interval click here https://brainly.com/question/17212516

#SPJ4

Use the Distributive Property to write an expression equivalent to 0.4(-5-7y-13.8).​

Answers

Answer:

-2.8y-7.52

Step-by-step explanation:

multiply 0.4 by each of the numbers in the parentheses then simplify

Answer: -2.8y-7.52

Step-by-step explanation:

Which represents a side length of a square that has an area of 450 square inches?15 startroot 2 endroot inches in. 16 startroot 3 endroot inches in. 112. 5 in. 115. 5 in.

Answers

Using the area formula of the square we know that (A) 15√2 in inches represents a side length of a square that has an area of 450in².

What is the area?

A shape's area can be calculated by contrasting it with squares of a known size.

The square meter (abbreviated as m2), which is the area of a square whose sides are one meter long, is the common unit of area in the International System of Units (SI).

Three such squares would be the same size as a form with a three-square-meter area.

The area of any other shape or surface is a dimensionless real number, and the unit square is defined in mathematics to have area one.

So, the area of the square:

A = b²

Where B is the square's long side.

A = 450in²

A = b²

b² = 450

b = √450

b = 15√2 in

Therefore, using the area formula of the square we know that (A) 15√2 in inches represents a side length of a square that has an area of 450in².

Know more about the area here:

https://brainly.com/question/25292087


#SPJ4

Correct question:
Which represents a side length of a square that has an area of 450 square inches?

a. 15 start root 2 end root inches in.

b. 16 start root 3 end root inches in.

c. 112. 5 in.

d. 115. 5 in.

a right triangle has legs measuring 20 inches and 21 inches. what is the length of the hypotenuse, in inches?

Answers

Answer: 29 inches.

Step-by-step explanation:

The formula to find the hypotenuse is a^2 + b^2 = c^2.

20^2= 400, and 21^2=441. Together, it was 841. Square root that, and your answer is 29.

-

a^2 + b^2 = c^2

20^2 + 21^2 = c^2

400 + 441= c^2

881 = c^2

29=29

Find the radius of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 12.

Answers

A right circular cylinder with the largest volume that can fit inside a sphere with a radius of 12 has a radius of √7238/πh units.

What is a right circular cylinder?

The right circular cylinder is a cylinder with circular bases that are parallel to one another.

Three dimensions make up its form.

The two bases of the cylinder are joined at their centers by the cylinder's axis.

Sphere:

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.

The radius of the right circular cylinder will be:

The formula for the volume of a sphere: V = 4/3πr²

Now, substitute r = 12 as shown:

V = 4/3πr²

V = 4/3π12²

V = 4/3π144

V = 7238.22947

Rounding off: 7238 units³

Nw, the formula for the volume of a right circular cylinder:

V = πr²h

Substitute V = 7238 and calculate for r as follows:

V = πr²h

7238 = πr²h

r² = 7238/πh

r = √7238/πh

Therefore, a right circular cylinder with the largest volume that can fit inside a sphere with a radius of 12 has a radius of √7238/πh units.

Know more about the right circular cylinder here:

https://brainly.com/question/2762448

#SPJ4

A circle with radius of 2 cm sits inside a 7 cm x 11 cm rectangle

Answers

I believe the answer you seek would be that the area of the shaded region would be [tex]64.43 cm^2[/tex].

Hope this helps!

Which ordered pairs lie on the graph of the exponential function ​f(x)=3(14)x? Select each correct answer. (1, 0.75) (-3,-192) (0,1) (-1,12)

Answers

The ordered pair that lie on the graph of the exponential function ​f(x)=3(14)ˣ is (-1, 12)

What is exponential graph?

A curve that depicts an exponential function is known as an exponential graph.

The curve have a horizontal asymptote and either an increasing slope or a decreasing slope. this is to say that the curve begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates. It may or may not cut the x-axis, but it always cuts the y-axis at some point.

An exponential graph will almost always have a y-intercept but not necessarily an x-intercept.

The given function was plotted on a graph and the point that lie on the graph is (-1, 12).

the point (-3,-192)  is way out of the graph

Learn more about exponential function here:

https://brainly.com/question/12626186

#SPJ1

please help me asap it would help alot

Answers

X = 60

Adding x and 2x makes a line which is 180 degrees. 180/3 is 60.
This x is 60

a rectangular block of mass m has dimensions as shown. in terms of m, a, b and c, find the rotational inertia of the block about an axis of rotation through one of the corners of the block which is perpendicular to the large faces. b. let m

Answers

The rotational inertia of the block about an axis of rotation through one of the corners of the block which is perpendicular to the large faces will be M(a²+b²)/3.

What is rotational inertia?

Any item that can be rotated has the property of rotational inertia. It is a scalar value that indicates how challenging it is to alter an object's rotational velocity around a certain rotational axis. The role of mass in linear mechanics is analogous to that of rotational inertia in rotational mechanics. Because it measures moment of inertia as it is rotating, this property is also known as rotational inertia. A measurement of an object's resistance to changes in its angular velocity is called rotational inertia. Imagine turning an item with a specific torque. As the torque is being applied, measure the angular acceleration. The rotational inertia of the item increases as the resultant angular acceleration decreases.

Here,

The major calculations are attached in image.

Moment of Inertia of plate passing through O is I = Ma²/12

and, ly = Mb²/12

by perpendicular axis theorem I2 = Ma²/12+Mb²/12

The distance of edge and the center is d = √(a²+b²)/4

So by parallel axis theorem, IA = Ma²/12+ Mb²/12 + Md² = M(a²+b²)/3

M(a²+b²)/3 is the rotational inertia of the block about a rotating axis passing through one of its corners and perpendicular to its large faces.

To know more about rotational inertia,

https://brainly.com/question/22513079

#SPJ4

Please help!!! Needs done by tomorrow

Answers

The population of the small town in 2025 is 22234

How to determine the population in 2025?

The given parameters in the question are

Initial population =24597Rate of decay = 2%

These parameters can be represented as

a = 24597

r = 2%

The equation of the function can be represented as

P(t) = a(1 - r)^t

So, we have

P(t) = 24597 * (1 - 2%)^t

In 2025, we have

Year = 2025

This means that

t = 2025 - 2020

So, we have

t = 5

Substitute t = 5 in P(t) = 24597 * (1 - 2%)^t

P(5) = 24597 * (1 - 2%)^5

Evaluate the expression

P(5) = 22234

Hence, the population is 22234

Read more about exponential functions at

brainly.com/question/11464095

#SPJ1

which statement gives the best comparison between the number of defective parts produced by the machines during the first hour of operation on the 19 days?

Answers

The correct statement to represent the comparison between defective parts produced by machines is option d. Machine A usually, but not always, produced fewer defective parts than machine B.

As given in the question,

Number of machines in a factory = 2

Statement compares the :

Number of defective parts produced by machines during first 4 hours

for 19 days.

Observations from the given scatterplot are:

a. Machine A always produced the same number of defective parts as machine B.

False. Variation in producing number of defective parts.

b. Machine A always produced fewer defective parts than machine B.

False.

c. Machine A always produced more defective parts than machine B.

False.

d. Machine A usually, but not always, produced fewer defective parts than machine B.

True. Sometimes like when Machine A produce 7 defective parts machine B produce 5.

e. Machine A usually, but not always, produced more defective parts than machine B.

False.

Therefore, option d) Machine A usually, but not always, produced fewer defective parts than machine B is the correct answer.

The complete question is:

A factory has two machines, A and B, making the same part for refrigerators. The number of defective parts produced by each machine during the first hour of operation was recorded on 19 randomly selected days. The scatterplot below shows the number of defective parts produced by each machine on the selected days.

Which statement gives the best comparison between the number of defective parts produced by the machines during the first hour of operation on the 19 days?

a. Machine A always produced the same number of defective parts as machine B.

b. Machine A always produced fewer defective parts than machine B.

c. Machine A always produced more defective parts than machine B.

d. Machine A usually, but not always, produced fewer defective parts than machine B.

e. Machine A usually, but not always, produced more defective parts than machine B.

Learn more about defective parts here

brainly.com/question/14894467

#SPJ4

x + 2y = −4 please hurry

Answers

Answer:

x = -2y - 4

Step-by-step explanation:

x + 2y = -4

Subtract 2y from both sides.

x = -4 - 2y

Answer:

x = 2

this is the answer hope u pass

sketch the nyquist plot based on the bode plots for each of the following systems , and then compare your results whit that obtained by using the matlab command nyquist : dont be concerned with the details of exactly where the curve goes , but do make sure it crosses the real axis at the right spot , has the correct number of -1 encirclements and goes off to infinity in the correct direction. A). >KG ( s) a= K( s+2 ) / s + 10 B.>KG ( s) = K / ( s + 10 )(s+2)2 C).>KG ( s) = K (s+10)(s+10) / (s+100)(s+2)3 D). Usinng your plots , estimate the range of k for which each system is stable , and qualitatively verif your result by using a rough sketch of a root locus plot.

Answers

Sketching the nyquist plot based on the bode plots for the mentioned systems require a certain understanding of bode plots explained in detail.

What do you understand by bode plots?

In reality, Bode plots are a collection of graphs that display a system's frequency response. This system might be any system (not simply a circuit!) that changes its behavior when its frequency (cycles per second) changes.

Frequency Response simply describes how our system will alter in response to a specific input frequency. This collection of notes will be referred to as our input frequency.

Bode charts often have two graphs. We'll refer to one as the magnitude plot and the other as the phase angle plot.

We'll need something initially called a transfer function. Typically represented as H(s) or H(j). A transfer function often equates to the ratio of the output to the input.

A). >KG ( s) a= K( s+2 ) / s + 10 B.>KG ( s) = K / ( s + 10 )(s+2)2 C).>KG ( s) = K (s+10)(s+10) / (s+100)(s+2)3 D)

In order to learn more about bode plots, visit:

https://brainly.com/question/28565991

#SPJ4

how do you calculate degrees of freedom for goodness-of-fit chi-square tests versus chi-square tests for independence and homogeneity?

Answers

The degrees of freedom for goodness-of-fit chi-square tests are calculated with the formula: df=bins(or categories)−1−number of parameters of the distribution and the degrees of freedom for the chi-square are calculated using the following formula: df = (r-1)(c-1) .

In the given question we have to calculate degrees of freedom for goodness-of-fit chi-square tests versus chi-square tests for independence and homogeneity.

When a categorical variable has more than two levels, a chi-square goodness-of-fit test can be performed. A one proportion z test may be performed if there are precisely two categories. There must be no overlap between those category variable's levels. To put it another way, every situation must fall into exactly one group.

The degrees of freedom in this case are calculated with the formula:

df=bins(or categories)−1−number of parameters of the distribution.

The degrees of freedom for the chi-square are calculated using the following formula:

df = (r-1)(c-1)

where r is the number of rows and c is the number of columns.

The null hypothesis can be rejected if the observed chi-square test statistic is higher than the crucial value.

To learn more about goodness-of-fit chi-square tests or chi-square tests link is here

brainly.com/question/16865619

#SPJ4

if a woman's first child is a girl and her second child is also a girl, what is the probability that her third child would be a girl?

Answers

The probability that her third child would be a girl is 50%.

Probability:

In math probability means the possible of happening a particular event amount the total number of event.

Given,

Here we need to find if a woman's first child is a girl and her second child is also a girl, what is the probability that her third child would be a girl.

We already know that, there are two sex chromosomes X and Y.

And in the humans are diploid having two sex chromosomes, in females a pair of the X chromosome is found while in males an X and Y chromosome is present.

So, there is  50% chance that the subsequent child is going to be a girl because it entirely depends upon the chromosome of the sperm which fertilizes the ovum.

For each pregnancy features a  50% chance of leading to a boy or girl and this doesn't include the likelihood of multiples.

Here already having 2 girls previously doesn't affect the probabilities of any resulting pregnancy.

Therefore, the prospect of getting a girl remains at  50%.

To know more about Probability here,

https://brainly.com/question/11234923

#SPJ4

best answer gets brain award thing!

Answers

Look at the point in which the x-value is equal to -1

k(-1) = 7

Other Questions
Can you please help me with this question The mitotic spindle is part of a cell that allows for the movement of sister chromatids to opposite poles of the cell during the later stages of mitosis. Which problem would most likely occur if the mitotic spindle stopped functioning in a cell? which classical prison reformer and philosopher believed that the law should accomplish some utilitarian purpose, while the socially desirable outcome from punishment should be the protection of society? explain the difference between the if then block and the if then else block: how does each work? how do we know which to use? which african american performance artist won considerable acclaim for portraying real people in pieces like twilight: los angeles 1992? 3. Find the length of the bridge.20 ft160 ft32.5 ft information on the statement of cash flows helps users answer all of the following questions except: multiple choice question. why was there a change in the cash balance? why did the company invest in long-term assets? where does a company spend its cash? how does a company obtain its cash? a newborn is found to have transient hypothyroidism following a cesarean birth. which nursing intervention could have induced the transient hypothyroidism as the staff prepared the mother for the surgical procedure? most of the substances we use for fuel are hydrocarbons that burn easily in the presence of oxygen.which two elements are found in these substances?responseshydrogen and carbonhydrogen and carboncarbon and oxygencarbon and oxygenhydrogen and oxygen A rectangle has a length of 72cm and a width of 56cm. A second rectangle has the same area as this one, but its width is 21cm. What is the constant of variation. c write the code that creates an object of type rectangle named box1 using a no argument constructor. two species of antelope ground squirrels live on the two sides of the grand canyon. they are hypothesized to descend from a common ancestor species, populations of which were separated as the canyon formed. if this hypothesis is correct, it would be an example of: what would be the equilibrium price and quantity in cameroon and nigeria if free trade existed between the two countries? Which statement describes the relationship between the function and its inverse? The range of both f(x) and f1(x) is all real numbers. The domain of both f(x) and f1(x) is all real numbers. The range of f(x) is y > 0 and the domain of f1(x) is x > 0. The domain of f(x) is x > 0 and the range of f1(x) is y > 0. mary is looking for a job cutting hair. one option is self-employment at the manchester salon, where she would pay $840 per month to rent a station and keep all of her earnings. another option is to work at a franchise, where she would just have to pay the salon $8 for every haircut. if she performed a certain number of haircuts every month, the amount paid to either salon would be the same. how much would mary pay? how many haircuts would that be? What kind of claim is used for billing provider fee-for-service claims to commercial health insurance companies?. Find the product.(wz + 8) = what evidence suggests that the protogalactic cloud that formed the milky way resulted from several collisions among smaller clouds? Reflective Essay Assignment Complete all lessons prior to this assignment.Frederic Henry's perspective and attitude about war changes drastically in this story by Hemingway. How and why does Henry's change happen? Write a reflective essay in which you explain Henry's change in thinking about war and connect this to a personal experience where you underwent a significant change of perspective, how and why this change happened, and how this benefited your life. The essay's thesis statement and body contents should refer to A Farewell to Arms and clearly state the connection. The conclusion should refer back to A Farewell to Arms too. Note: Henry's change in perspective about war has nothing to do with Catherine or romance! Thesis statement: Your introduction's thesis statement must include story title and author (A Farewell to Arms by Hemingway), the controlling ideas of Henry's change and your change, and why this is important. Do not use announcements such as "In this essay...".The essay should be 1 typed page in length and include essay structure with an introduction, body and conclusion paragraphs. Proofread and edit carefully for correct grammar, spelling, and punctuation. participating in the subculture that elijah anderson describes as "the code of the streets" raises the risk that young people will end up