How do I find dy/dx of the following?

How Do I Find Dy/dx Of The Following?

Answers

Answer 1

Answer:

[tex]\displaystyle\frac{dy}{dx} \ = \ 3x^{2} \ + \ \displaystyle\frac{1}{2\sqrt{x^{3}}} \ - \ \displaystyle\frac{12}{x^{5}}[/tex]

Step-by-step explanation:

                      [tex]y \ = \ x^{3} \ - \ \displaystyle\frac{1}{\sqrt{x}} \ + \ \displaystyle\frac{3}{x^{4}} \\ \\ y \ = \ x^{3} \ - \ x^{-\frac{1}{2}} \ + \ 3x^{-4} \\ \\ \displaystyle\frac{dy}{dx} \ = \ 3x^{3 \ - \ 1} \ - \ \left(-\displaystyle\frac{1}{2}\right)x^{-\frac{1}{2} \ - \ 1} \ + \ \left(-4 \ \times \ 3\right)x^{-4-1}[/tex]

                       [tex]\displaystyle\frac{dy}{dx} \ = \ 3x^{2} \ + \ \displaystyle\frac{1}{2}x^{-\frac{3}{2}} \ - \ 12x^{-5} \\ \\ \displaystyle\frac{dy}{dx} \ = \ 3x^{2} \ + \ \displaystyle\frac{1}{2\sqrt{x^{3}}} \ - \ \displaystyle\frac{12}{x^{5}}[/tex]


Related Questions

9 out of 10 students prefer maths class over lunch how many students do not prefer math if 200 students were asked?​

Answers

Answer: 180

Step-by-step explanation: 200 % 2 = 100

9/10 = 90/100

90 * 2 = 180

Answer:

20 students

If 9 out of 10 student prefer math over lunch, then 1 out of ten DO NOT. With this information you can set up a simple proportion: [tex]\frac{1}{10} =\frac{x}{200}[/tex].

To solve for x, you cross multiply as follows:

1*200=10x

200=10x

20=x

Hence, x equals 20, and 20 students do not prefer math over lunch.

Hope I helped!!!!!!!!!!!!!:)

A tea shop owner is mixing a blend of two teas, one of which costs $6.50 per pound, the other costing $4.00 per pound. The owner wants to have 20 pounds of a mixture that will sell for $5.50 per pound. How much of each type of teach should be used?

Answers

Answer:

12 pounds of tea-1 and 8 pounds of tea-2 should be used.

Step-by-step explanation:

Write the number below as a fraction in its simplest form
0.125 the 1 and 5 are recurring

Answers

If we write 0.125 in the fraction form then we will get 7/20.

Given Number which is 0.125

We are given a number 0.125 and we have to write this in fraction form.

0.125 can be written as 125/1000 it can be written as 7/20 by cutting on the numerator and denominator.

Fraction is a combination of numerator and denominator. If a fraction is solved then it comes in the decimal form. Recurring means the numbers which are coming again and again after the decimal.

In this fraction we have to ignore 1 and 5 because we have no idea how many times it is coming after decimal.

Hence the number 0.125 can be written as 7/20 in the fraction form.

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A clinical psychologist is administering the Hamilton Rating Scale for Depression (Hamilton, 1967). The scale ranges from 0 to 52. Scoring is based on the 17-item scale and scores of 0–7 are considered as being normal, 8–16 suggest mild depression, 17–23 moderate depression and scores over 24 are indicative of severe depression (Zimmerman, Martinez, Young, Chelminski, & Dalrymple, 2013).

We have some evidence about the mean score for the Hamilton Rating Scale for Depression among the population of adolescents: μ = 6 with a standard deviation of σ =1.5. The clinical psychologist’s patient, a 14-year old girl, scores a 10 on the scale. How would you describe her score relative to the population of adolescents? (Please use your knowledge of z-scores to answer this question.)

Answers

Using the normal distribution, it is found that the girl's score of 10 is higher than 99.62% of the population.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 6, \sigma = 1.5[/tex].

Her z-score is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10 - 6}{1.5}[/tex]

Z = 2.67

Z = 2.67 has a p-value of 0.9962.

Hence her score is higher than 99.62% of the population.

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Houses in an real estate are all identical however a person can purchase a new house with some all or none of a set of options as indicated by the set below
how many options are there for purchasing a house in this community

{ pool , alarm , lake view , balcony }

Answers

Considering the number of subsets of the set of options, it is found that there are 16 options for purchasing a house in this community.

What is the number os subsets of a set of cardinality n?

The number of subsets is given by:

[tex]N_s = 2^n [/tex]

The set of options is given by:

O = { pool , alarm , lake view , balcony }

Which has cardinality n = 4.

The number of options for the purchased home is the number of subsets of set O, hence:

[tex]N_s = 2^4 = 16[/tex]

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Follow the steps to find the
area of the shaded region.
First, use the formula
below to find the area
of the whole sector.
=
angle of sector
360
¹) πr²
Sector Area = [?] cm²
Round to four decimal places.
Sector Area
14 cm
46°
14 cm
Enter

Answers

Based on the calculations, the area of the whole sector is equal to 4,508 cm².

Given the following data:

Angle of sector = 46°.Radius of circle = 14 cm.

How to calculate the area of a sector?

Mathematically, the area of a sector can be calculated by using this formula:

Area of sector = θr²/2

Where:

r is the radius.θ is the central angle.

Substituting the given parameters into the formula, we have;

Area of sector = 46 × 14²/2

Area of sector = 46 × 196/2

Area of sector = 9016/2

Area of sector = 4,508 cm².

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please help to answer with working.​

Answers

Answer:

When r=0.2, m=0.016g

When m=0.25, r=0.5cm

When r=0.7, m=0.686g

When m=11.664, r=1.8cm

Step-by-step explanation:

General outline of steps for proportionality problems:

Identify the type or proportionality.Find the proportionality constant using a known input/output pair.Use the proportionality equation to find other unknowns.

Background on proportionality relationships

There are two main types of proportionality, "direct" and "inverse", and then there are modifications that can be made to them.  Several examples are listed below:

Direct proportionality examples

y is directly proportional to x:  [tex]y=kx[/tex]y is directly proportional to the square of x:  [tex]y=kx^2[/tex]y is directly proportional to the cube of x:  [tex]y=kx^3[/tex]

Inverse proportionality examples

y is inversely proportional to x:  [tex]y=\dfrac{k}{x}[/tex]y is inversely proportional to the square of x:  [tex]y=\dfrac{k}{x^2}[/tex]

In each case, irregardless of which type, the two quantities are related with some extra letter "k", called the proportionality constant.  Either way, the proportionality constant "k" is always in the numerator, and the quantity is either multiplied to or divided from the proportionality constant "k".

Notice that for direct proportionality, in each case, the equation always ends up as "k times" the quantity.

On the other hand, notice that for inverse proportionality, in each case, the equation always ends up as "k divided by" the quantity.

Step 1.  Identify the type or proportionality (Setting up our proportionality equation)

The problem says "... the mass, m g, of a sphere is directly proportional to the cube of its radius, r cm...", so our equation will look like [tex]m=kr^3[/tex].

Step 2.  Finding the proportionality constant

To find the proportionality constant for our situation, one must know a full input/output pair.  Notice that in the 4th column, [tex]r=1.5[/tex] and [tex]m=6.75[/tex].

Substituting these values into our equation, we can find "k".

[tex](6.75)=k(1.5)^3[/tex]

[tex]6.75=k*3.375[/tex]

[tex]\dfrac{6.75}{3.375}= \dfrac{k*3.375}{3.375}[/tex]

[tex]2=k[/tex]

So, the proportionality constant for this situation is 2, and our equation for this situation becomes: [tex]m=2r^3[/tex]

Step 3. Finding the other inputs/outputs

Now that we know the proportionality constant for this situation, if we have either the input OR the output, we can solve for the other unknown.

r=0.2

[tex]m=2r^3[/tex]

[tex]m=2(0.2)^3[/tex]

[tex]m=2(0.008)[/tex]

[tex]m=0.016[/tex]

Recall the the question said that the mass, m, was measured in grams, and the radius, r, was measured in centimeters.  So, if the radius is 0.2cm, then the mass of the sphere would be 0.016g.

m=0.25

[tex]m=2r^3[/tex]

[tex](0.25)=2r^3[/tex]

[tex]\dfrac{0.25}{2}=\dfrac{2r^3}{2}[/tex]

[tex]0.125=r^3[/tex]

[tex]\sqrt[3]{0.125} = \sqrt[3]{r^3}[/tex]

[tex]0.5=r[/tex]

So, if the mass of the sphere were 0.25g, the radius of the sphere would be 0.5cm.

r=0.7

[tex]m=2r^3[/tex]

[tex]m=2(0.7)^3[/tex]

[tex]m=2(0.343)[/tex]

[tex]m=0.686[/tex]

So, if the radius is 0.7cm, then the mass of the sphere would be 0.686g.

m=11.664

[tex]m=2r^3[/tex]

[tex](11.664)=2r^3[/tex]

[tex]\dfrac{11.664}{2}=\dfrac{2r^3}{2}[/tex]

[tex]5.832=r^3[/tex]

[tex]\sqrt[3]{5.832} = \sqrt[3]{r^3}[/tex]

[tex]1.8=r[/tex]

So, if the mass of the sphere were 11.664g, the radius of the sphere would be 1.8cm.

I don’t get this question
Simplify 4.5:9.9:8.1
Please help

Answers

Answer:

5:11:9

Step-by-step explanation:

Change the decimal to fractions

45/10:99/10:81/10

Multiply through by the Lowest Common Factor 10

10×45/10:10×99/10:10×81/10

Which makes it

45:99:81

They have a common factor which is 9, so divide through by 9

45/9:99/9:81/9

Your answer is

5:11:9

Hope it helps

On a walk through the woods, Mr. Finley saw 16 blue jays and 25 purple finches. Write the ratio of finches to blue jays three different ways.

Answers

Answer:

25:16

50:32

100:64

Step-by-step explanation:

Hi supreme turtle this is the question

Answers

Answer:

< $0 --------------$35------ $50>

Step-by-step explanation:

wait that's not the full question but uh I assume that's 30% off $50?

it would be 0.3x50 which is 15 and 50-15 is 35.

the range is 0 - $50 if I'm not mistaken
< $0 -------------------------- $50> scuffed number line
but 35 is somewhere around here?
< $0 --------------$35------ $50>

Each phrase in the table describes two variables whick are strongly correlated. Select all phases that imply correlation without causation.

Answers

The complete question is attached below.

The most correct phases that imply correlation without causation are 1, 5, and 6.

What is correlation?

The correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when another data value is increased or decreased respectively.

The most correct phases imply correlation without causation are;

The number of stuffed animals produced at a factory and the number of newborn babies.

The number of videos rented and the number of films in the theater.

The number of pets in the neighborhood and the amount of grass nearby.

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the angle is 36.2 less than it’s complementary angle

Answers

Answer:

below

Step-by-step explanation:

Measure of each angle is 27 and 63 degrees.

Wei Xun bought 8 pieces of chocolates and 10 lollipops for $17. The average price of a piece of chocolate was S$1. What was the average price of a lollipop?​

Answers

Answer:

$0.90

Step-by-step explanation:

If each piece of chocolate is $1, then 8 pieces is $8. Wei Xun bought 8 pieces of chocolate and 10 lollipops, which came out to $17. The chocolate was $8 total, leaving $9 for the 10 lollipops. 9/10 = 0.9. So, each lollipop was $0.90, or 90 cents.

please help

0.06/1.71

Answers

Answer:

0.04

Step-by-step explanation:

0.03508772

How many solutions exist for the given equation?
3(x - 2) = 22 -x

Answers

There is only one solution because it is a linear equation.
3x - 6 = 22 - x
3x + x = 22 + 6
4x = 28
X = 7

Answer:

One solution

Step-by-step explanation:

The equation can be rewrite as 3x - 6 = 22 - x

so we try to get all the x on one side so we add x and 6 to both sides so we get 4x = 28 then we divide by 4 both side and get x=7

An electrician charges a $40 fee to make a house call plus an hourly rate for labor. If the total bill that takes 2 hours comes to $99 what is the electrician hourly labor rate?

Answers

Answer $29.50
Reason
You can use the formula y=mx+b for this
We know y is the total bill of $99
We know b is the $40 fee (y intercept or starting point)
We know x is 2 hours
We are looking for m or rate
Substitute numbers for letters in formula
99= m(2) +40
Subtract 40 from both sides to isolate m
59=2m
Divide both sides by 2 to solve for m
M=$29.50
We can prove our answer by inserting our answer for “m” in the formula
99=29.50x2+40
99=99
Answer is correct

The points (-15, r) and (-3, 16) lie on a line with slope 5/4. Find the missing coordinate r.

Answers

Answer:

r = 1

Step-by-step explanation:

we know that :

[tex]Slope=\frac{y_{B}-y_{A}}{x_{B}-x_A}[/tex]

Then

[tex]\frac{5}{4} =\frac{16-r}{-3-(-15)}[/tex]

Then

[tex]\frac{5}{4} =\frac{16-r}{12}[/tex]

Then

5×12 = 4×(16-r)

Then

60 = 64 - 4r

Then

4r = 64 - 60

Then

4r = 4

Then

r = 1

90ft×7ft requires1/2 ounces toof solution per square ft to clean.How much solution is necessary to clean floor

Answers

The amount of the cleaning solution is required to clean the hallway will be 315 ounces.

The complete question is given below.

A hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot. How much cleaning solution is required to clean the hallway?

What is the area of the rectangle?

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L × W square units

A hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot.

Then the amount of the cleaning solution is required to clean the hallway will be

Amount of cleaning solution = 1/2 × area of hallway

Amount of cleaning solution = 0.5 × (90 × 7)

Amount of cleaning solution = 315 ounces

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5=1 2/3x how do I solve for x?

Answers

You'll first Cross multiply: 5× 3x

that'll give you 15x.

15x=12(12 is a numerical constant).

Divide both sides by the the coefficient of X .That is 15x/15= 12/15

Therefore the answer is 12/15= x

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathsf{5 = 1 \dfrac{2}{3}x}[/tex]

[tex]\mathsf{1 \dfrac{2}{3}x = 5}[/tex]

[tex]\mathsf{\dfrac{1\times3 + 2}{3}x= 5}[/tex]

[tex]\mathsf{\dfrac{3 + 2}{3}x = 5}[/tex]

[tex]\mathsf{\dfrac{5}{3}x = 5}[/tex]

[tex]\large\text{MULTIPLY }\rm{\dfrac{3}{5}}\large\text{ to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3}{5}\times\dfrac{5}{3}x = \dfrac{3}{5}\times5}[/tex]

[tex]\large\text{SIMPLIFY IT!}[/tex]

[tex]\mathsf{x = \dfrac{3}{5}\times5}[/tex]

[tex]\mathsf{x = \dfrac{3}{5}\times\dfrac{5}{1}}[/tex]

[tex]\mathsf{x = \dfrac{3\times5}{5\times1}}[/tex]

[tex]\mathsf{x = \dfrac{15}{5}}[/tex]

[tex]\mathsf{x = \dfrac{15\div5}{5\div5}}[/tex]

[tex]\mathsf{x = \dfrac{3}{1}}[/tex]

[tex]\mathsf{x = 3\div1}[/tex]

[tex]\mathsf{x = 3}[/tex]

[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x = 3}}}\huge\checkmark[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

If $4500 is invested at 10% annual interest, which is compounded continuously, what is the account balance after 3 years, assuming no additional deposits or withdrawals are made?

Answers

Answer:

$6074.36

Step-by-step explanation:

The formula for continuous compounding is

F = Pe^(rt)

F = $4500 × e^(0.1 × 3)

F = $6074.36

Answer: $6074.36

use interval notation to express the following: the set of all numbers greater than or equal to 5 and less than or equal to 7​

Answers

[5, +∞) ∪ (-∞,7] is the notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7​.

We need to use interval notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7​.

What is a set?

A set is a mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

Let x belong to the set of real numbers (R)

Now, x≥5 and x≤7.

So, x≥5⇒[5, +∞) and x≤7⇒(-∞,7]

Therefore, the notation will be [5, +∞) ∪ (-∞,7].

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for
If a study determines the difference in average salary
subpopulations of mechanical engineers and civil
engineers is NOT significant, then the subpopulations
of mechanical and civil engineers are
different
salaries.
A
Guaranteed not to be earning
B
Not earning
C) Earning very
D Definitely earning

Answers

A mean is an arithmetic average of a set of observations. The correct option is B.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The average pay does not differ significantly since the average wage for subpopulations is not significant. As a result,  the subpopulations of mechanical and civil engineers are Not earning different salaries.

Hence, the correct option is B.

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Based on local population projections for 2010, school district 31 will lose 5 teaching positions, district 222 will lose 5 teachers, and district 225 will lose 2. Write a
signed number that represents the total number of teachers that these three school districts are projected to lose.
What is the signed number that represents the total number of positions that these three districts are projected to lose?

Answers

Answer:

2+3+4 = 9

Add the three numbers of the three school districts that project to lose.

Which number is irrational?
C
-4
C
2
g
O 11
O 8.26

Answers

The irrational number in the given options is √11

What is an irrational number?

Irrational numbers are set of all real numbers in mathematics that are not rational numbers in nature. By the word rational, we mean that they cannot be expressed or represented in a fraction of a/b.

where;

a = numeratorb = denominator

In other words, it is impossible to describe an irrational number as the ratio of two integers.

From the given options, the square root of 11 is the only number that cannot be expressed as a fraction, therefore, we can conclude that it is considered the only irrational number in the given options.

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What graph best represents the data

Answers

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct option is A.

What is a graph?

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

A histogram is a statistical information presentation that employs rectangles to illustrate the frequency of data items in equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most frequent kind of histogram.

The best graph that can represent the given situation is Histogram. Hence, the correct option is A.

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Factor: 120u² + 125u + 30.

Answers

Answer:

5(3u+2)(8u+3)

Step-by-step explanation:

lmk if you want an explanation

Answer:

5(3u+2)(8u+3)

Step-by-step explanation:

Well you first want to factor out any GCF which in this case is 5

5(24u² + 25u + 6)

so now a, b, c = 24, 25, 6.

ac = 144

factors of 144 that add up to 25 are 9 and 16

rewrite equation

(24u² + 9u) + (16u + 6)

factor out GCF

3u(8u+3) + 2(8u + 3)

(3u+2)(8u+3)

plug that back into entire equation

5(3u+2)(8u+3)

Rewrite each of the following expressions without using absolute value: |x-5|+|x+5| if x<-5

Answers

For [tex]x < -5[/tex]:

[tex]x-5 < 0 \Rightarrow |x-5|=-(x-5)=-x+5\\x+5 < 0\Rightarrow |x+5|=-(x+5)=-x-5[/tex]

So

[tex]|x-5|+|x+5|=-x+5-x-5=-2x[/tex]

Sampling is used in the situations

A. Cooking rice in an utensil
B. Purchase of food commodity from
C. shopkeeper
D. All the above
E. Blood test of the patients​

Answers

Answer:

all of the above

Step-by-step explanation:

please mark me as brainliest

Write the integral and solve for the area under the curve:

Answers

Answer:

Integral: [tex]\int\limits^\pi _0 {3sinx} \, dx[/tex]

Area: 6

Step-by-step explanation:

[tex]\int\limits^\pi _0 {3sinx} \, dx = -3[cosx]_{0} ^{\pi} = 6[/tex]

2 more than product of a number and 9 is 8. variable w

Answers

I don’t really know if this is a question but if ur asking the variable of an unknown number then it’s x??

Answer:

w (number)  = 2/3

Step-by-step explanation:

Variable w means use the letter w as the unknown number :

This is the equation made from the question :

2+(9w) = 8

Let's subtract 2 from both sides :

9w = 6

Divide both sides by 9 :

w = 6/9

Simplify fraction :

w = 2/3

Hope this helped and have a good day

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The multiplier principle indicates that if business decision makers become more optimistic about the future and, as a result, increase their investment expenditures by $82 billion, real GDP a. will increase by more than $82 billion if the economy was initially operating at full-employment capacity. b. will decline if the marginal propensity to consume is less than 1. c. will increase by less than $82 billion if the economy was initially operating well below capacity. d. will increase by more than $82 billion if the economy was initially operating well below capacity. Given the functions, fx) = 3x-6 and g(x)= x + 5x+7, perform the indicated operation. When applicable, state thedomain restriction.f(g(x)) What are the molecules that make up the cytoskeleton? What do we call risks in the absence of controls and after controls have been implemented?. Lee y escoge la mejor respuesta basada en la lectura. 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El tema principal es queA hubo ms trauma y ms sobrevivientes de trauma el ao pasado que en aos anterioresB el mundo se enfrenta a una nueva crisis y se necesitan ms profesionales para manejar las demandasC el bola fue una crisis sorprendente e inolvidable que afect a varios pases mundialmenteD los sobrevivientes de trauma tienen acceso a los servicios que necesitan para mejorar su situacin Mr. Tan, a manufacturer who producesmore medium-sized shirts than eitherlarge-sized or small-sized T-shirts,bases his decision on?O A. InstinctO B. MeanO C. MedianO D. Mode Unlike the ancient Greek system of democracy, American democracy __________.A) uses a system of representativesB) does not allow women to be citizensC) is based on the tyrant-run government of city-states Why is this concept important in the field of sociology? describe the importance of the sociological imagination. Why is this concept important to keep in mind while studying society, personal struggles, societal issues and how does it help us understand personal experiences of others? FDR had several reasons for making the defeat of Germany the Allies' toppriority, EXCEPT(Joseph Stalin, now an Ally, was desperate for help)(FDR always considered Adolf Hitler the United States' No. 1 enemy)(Germany had fired the first shots at the U.S. during its u-boat blockades)(the United States could not count on Britain and the Soviet Union for help indefeating Japan until Germany was defeated) Read the following excerpt from The Gift of the Magi and answer the question."For there lay The Combs--the set of combs, side and back, that Della had worshipped long in a Broadway window. Beautiful combs, pure tortoise shell, with jewelled rims--just the shade to wear in the beautiful vanished hair. They were expensive combs, she knew, and her heart had simply craved and yearned over them without the least hope of possession. And now, they were hers, but the tresses that should have adorned the coveted adornments were gone.But she hugged them to her bosom, and at length she was able to look up with dim eyes and a smile and say: "My hair grows so fast, Jim! And them Della leaped up like a little singed cat and cried, "Oh, oh!" Jim had not yet seen his beautiful present. She held it out to him eagerly upon her open palm. The dull precious metal seemed to flash with a reflection of her bright and ardent spirit."Isn't it a dandy, Jim? I hunted all over town to find it. You'll have to look at the time a hundred times a day now. Give me your watch. I want to see how it looks on it."Instead of obeying, Jim tumbled down on the couch and put his hands under the back of his head and smiled."Della," said he, "let's put our Christmas presents away and keep 'em a while. They're too nice to use just at present. I sold the watch to get the money to buy your combs. And now suppose you put the chops on."The magi, as you know, were wise men--wonderfully wise men--who brought gifts to the Babe in the manger. They invented the art of giving Christmas presents. Being wise, their gifts were no doubt wise ones, possibly bearing the privilege of exchange in case of duplication. And here I have lamely related to you the uneventful chronicle of two foolish children in a flat who most unwisely sacrificed for each other the greatest treasures of their house. But in a last word to the wise of these days let it be said that of all who give gifts these two were the wisest. O all who give and receive gifts, such as they are wisest. Everywhere they are wisest. They are the magi."What is the purpose of the authors description of the beauty of the combs?The author wants the reader to understand Jims disappointment in Della.The author is emphasizing the sense of loss that Della must feel when she realizes she cant use them.The author is contrasting Della's poverty with her extravagant tastes.This description is included as a part of the setting of the story. A strand of mRNA has the bases cytosine-cytosine-uracil. Which amino acid corresponds to these bases? A. leuB. proC. serD. phe What is the length of pR?40a110110X A. 11 B. 13 C. 81 D. 9 Select the letter of the term that identifies the order in which the following sentence is written: You need four other tools for collecting. a. normal b. inverted c. command How does nuclear fission occur?A) Protons gather in the nucleus of Uranium atoms and cause the nucleus to explode and release energy in the form of heat. B) Neutrons smash into the nucleus of Uranium atoms. The neutrons are then split in half and release the energy in the form of heat . Suppose that one of Pasteur's swan neck flasks had broken, such that the neck came off. What would be the likely result? Maggots would have appeared on the meat The broth would have remained sterile Bacteria would not have been isolated in pure culture The animalcules would have escaped The liquid would have become contaminated You have a mixture of bacteria, archaea, fungi, protists, and algae. Which of the following would be most definitive in determining which of these cells are archaea? Size in a bright field microscope Structure in a scanning electron microscope Fluorescence in situ hybridization Super resolution microscopySimple staining Please help me i would really appreciate it, worth 11 points What is the nth term rule of the linear sequence below?27, 25, 23, 21, 19, ... A summary of a piece of writing always _____.restates its main idea and most important detailsrestates its main idea and every detailincludes every detailincludes no details