A square has a side length that is decreasing at a rate of 8 cm per second. What is the rate of change of the area of the square when the side length is 7 cm

Answers

Answer 1

Answer:

112cm²/sec

Step-by-step explanation:

Area of a square is expressed as A = L² where L is the length of one side of the square.

The rate of change of area will be expressed  using chain rule as;

dA/dt = dA/dL * dL/dt where;

dL/dt is the rate at which the side length of the square is decreasing.

Given L = 7cm, dL/dt = 8cm/sec and dA/dL = 2L

dA/dL = 2(7)

dA/dL = 14cm

Substituting the given value into the chain rule expression above to get the rate of change of the area of the square, we will have;

dA/dt = dA/dL * dL/dt

dA/dt = 14cm * 8cm/sec

dA/dt = 112cm²/sec

Hence, the rate of change of the area of the square when the side length is 7 cm is 112cm²/sec


Related Questions

A detective knows what time of day it is based on the angle at which the sun is hitting a man. Suppose a detective is looking at a photograph of a 6-foot tall man with a shadow that is 3.5 feet. Find the angle at which the sun is hitting the ground.

Answers

Answer:

The angle [tex]\theta[/tex] at which the sun is hitting the ground is:

[tex]\theta\approx 59.74^o[/tex]

Step-by-step explanation:

You can use right angle trigonometry to solve this, since the man (6 ft tall) and the shadow on the ground (3.5 ft long) form a right angle triangle as shown on the attached image.

The use the tangent function to find the angle that the sun's rays make with the ground:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{6}{3.5} \\\theta=arctan(\frac{6}{3.5})\\\theta\approx 59.74^o[/tex]

What is 9.3 to the 8th power

Answers

Answer: 55958180.97

Step-by-step explanation:

9.3 x 9.3 x 9.3 x 9.3 x 9.3 x 9.3 x 9.3 x 9.3

86.49 x 86.49 x 86.49 x 86.49

= 55958180.97

From her purchased bags, Rory counted 110 red candies out of 550 total candies. Using a 90% confidence interval for the population proportion, what are the lower and upper limit of the interval? Answer choices are rounded to the thousandths place.

Answers

Answer:

The Confidence Interval = (0.172, 0.228)

Where:

The lower limit = 0.172

The upper limit = 0.228

Step-by-step explanation:

The formula to be applied or used to solve this question is :

Confidence Interval formula for proportion.

The formula is given as :

p ± z × √[p(1 - p)/n]

n = Total number of red candies = 550 red candles

p = proportion = Number of red candies counted/ Total number of red candies

= 110/550 = 1/5 = 0.2

z = z score for the given confidence interval.

We are given a confidence interval of 90%. Therefore, the z score = 1.6449

Confidence Interval = p ± z × √[p(1 - p)/n]

Confidence Interval = 0.2 ± 1.6449 × √[0.2(1 - 0.2)/550]

= 0.2 ± 1.6449 √0.2 × 0.8/550

= 0.2 ± 1.6449 × 0.0170560573

= 0.2 ± 0.0280555087

Hence, the Confidence Interval = 0.2 ± 0.0280555087

0.2 - 0.0280555087 = 0.1719444913

Approximately = 0.172

0.2 + 0.0280555087 = 0.2280555087

Approximately = 0.228

Therefore, the Confidence Interval = (0.172, 0.228)

Where:

The lower limit = 0.172

The upper limit = 0.228

Answer:

Lower Limit: 0.172

Upper Limit: 0.228

Step-by-step explanation:

Can anyone please help : show that cos^{2} (θ)= 1 + cos(2θ) / 2 , using the compound angle formula

Answers

Answer:

Below

Step-by-step explanation:

Let's prove that cos^2(O) = 1+ cos(2O)/2

We khow that cos(2O) = 2 cos^2-1

● cos(2O) = 2 cos^2-1

Add one to both sides:

● cos(2O) +1 = 2 cos^2-1+1

● cos(2O) +1 = 2 cos ^2

Divide both sides by 2

● [cos(2O)+1]/2 = cos^2

whats is 5% in words?​

Answers

Here are a few ways 5% could be written in words:

-five percent

-five thousandths (0.05)

Hope this helps! :)

Answer:

0.05

Step-by-step explanation:

Assuming you mean as a decimal...

5/100 = 0.05

ALTERNATIVELY

5% = Five Percent

0.05 = Five Thousandths, Zero Point Zero Five

In the following equation, when x=3, what is the value of y? -4x + 3y = 12 A. 9 B. 3 C. 0 D. 8 PLZ HURRY IM TIMED WILL MARK BRAINLIEST

Answers

Answer:

[tex]\huge\boxed{y = 8}[/tex]

Step-by-step explanation:

-4x + 3y = 12

Given that x = 3

-4 (3) + 3y = 12

-12 + 3y = 12

Adding 12 to both sides

3y = 12+12

3y = 24

Dividing both sides by 3

y = 8

Answer:

y =8

Step-by-step explanation:

-4x + 3y = 12

Let x = 3

-4(3) +3y = 12

-12+3y = 12

Add 12 to each side

-12+12+3y =12+12

3y =24

Divide each side by 3

3y/3 = 24/3

y =8

Find the value of x show your work

Answers

Answer:

x≈13.08

Step-by-step explanation:

We use the pythagora's theorem

[tex]a^{2} +b^2=c^2\\a=5\\b=x\\c=14\\5^2+x^2=14^2\\x^2=196-25\\x^2=171\\x=3\sqrt{19} =13.08[/tex]

At the end of the day of teaching the skill of cutting and sewing to make capes, Ms. Ironperson and Mr. Thoro decided to go to the Shawarma Mediterranean Grill. Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95. Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91. What is the cost of a chicken shawarma wrap? What is the cost of one order of spiced potatoes? If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?

Answers

Answer:

a) What is the cost of a chicken shawarma wrap?

$10.99

b) What is the cost of one order of spiced potatoes?

$4.99

c) If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?

3x + 2y = $42.95 .............Equation 1

5x + 4y = $74.91 ................Equation 2

Step-by-step explanation:

Let x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes,

Cost of a chicken sharwarma wrap = x

Cost of an order of spiced potatoes = y

Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95.

3x + 2y = $42.95 .............Equation 1

Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91.

5x + 4y = $74.91 ................Equation 2

Hence, the Equations needed to solve the question is:

3x + 2y = $42.95 .............Equation 1

5x + 4y = $74.91 ................Equation 2

We use Elimination method to solve for this.

Multiply Equation 1 by coefficient of x in Equation 2

Equation 2 by coefficient of x in Equation 1

3x + 2y = $42.95 .............Equation 1 × 5

5x + 4y = $74.91 ................Equation 2 × 3

15x + 10y = 214.75..............Equation 3

15x + 12y = 224.73..............Equation 4

Subtract Equation 3 from Equation 4

2y = 9.98

y = 9.98/2

y = 4.99

Therefore, y = Cost of an order of spiced potatoes = $4.99

Subtitute 4.99 for y in Equation 1

3x + 2y = $42.95 .............Equation 1

3x +2(4.99) = 42.95

3x + 9.98 = 42.95

3x = 42.95 - 9.98

3x = 32.97

x = 32.97/3

x = 10.99

x = Cost of a chicken sharwarma wrap = $10.99

Therefore,

The cost of a chicken sharwarma wrap = $10.99

The cost of an order of spiced potatoes = $4.99

A normal population has a mean of 65 and a standard deviation of 13. You select a random sample of 25. Compute the probability that the sample mean is: (Round your z values to 2 decimal places and final answers to 4 decimal places): Greater than 69.

Answers

Answer:

0.0618

Step-by-step explanation:

z = (x - μ)/σ, where

x is the raw score = 69

μ is the sample mean = population mean = 65

σ is the sample standard deviation

This is calculated as:

= Population standard deviation/√n

Where n = number of samples = 25

σ = 13/√25

σ = 13/5 = 2.6

Sample standard deviation = 2.6

z = (69 - 65) / 2.6

z = 4/2.6

z = 1.53846

Approximately to 2 decimal places = 1.54

Using the z score table to determine the probability,

P(x = 69) = P(z = 1.54)

= 0.93822.

The probability that the sample mean is greater than 69 is

P(x>Z) = 1 - 0.93822

P(x>Z) = 0.06178

Approximately to 4 decimal places = 0.0618

THE PRICE OF AN ITEM FROM $10 TO $17. WHAT WAS THE PERCENT INCREASE IN THE PRICE OF THE ITEM?

Answers

Answer:

70%

Step-by-step explanation:

The method to find out percentage increase is by subtracting the original price from the increased price and making it into a fractional form with the denominator as 10 (out of 100%). So it results to this.

(original price - increased price) / 10

(17 - 10) / 10 = 7/10

7/10 can be converted from its fractional form to 70% i.e.its percentage.

Hope this helps and please mark as the brainliest.

let f(x) = 9x - 2 and g(x) = -x + 3. find f(g(x)). a. -9x - 2 b. -9x + 5 c. -9x + 25 d. -9x + 27

Answers

Answer:

See below.

Step-by-step explanation:

[tex]f(x)=9x-2 \text{ and } g(x)=-x+3\\f(g(x))=f(-x+3)\\f(-x+3)=9(-x+3)-2\\\text{Distribute and Simplify}\\-9x+27-2\\=-9x+25\\\text{Therefore, f(g(x))=-9x+25}\\\text{The answer is C}[/tex]

Translate this sentence into a equation. 42 decreased by Jose’s savings is 16. Use the variable j to represent Jose’s savings.

Answers

Answer:

[tex]42-j=16[/tex]

Step-by-step explanation:

"Decreased by" means subtraction.

The information says 42 decreased "by Jose's savings", which is represented by j.

"Is" means equal to.

Put it all together:

[tex]42-j=16[/tex]

:Done

Answer:

j - 42 = 16

Step-by-step explanation:

J = Jose Savings

42 = the amount decreased

16 = the left amount

J-42 = 16

j = 16+42

J = 58

Jose's savings was $58.

-10 + 7x + 24 - 2x
Your answer

Answers

Answer=5x+14
Hope this helps

Say we decided to expand our study and asked ten more urban homeowners what they pay each month for rent. Assume the sample deviation remains the same. What will happen to our samples standard error

Answers

Complete Question

The  complete question is shown on the first uploaded image

Answer:

The correct option is  C

Step-by-step explanation:

Generally the sample standard error  is mathematically represented as

           [tex]\sigma_{\= x } = \frac{\sigma }{ \sqrt{n} }[/tex]

Where  [tex]\sigma[/tex] is the standard deviation and  n is the sample size

  Now looking at the formula we see that

             [tex]\sigma_{\= x } \ \ \ \alpha \ \ \ \frac{1}{ \sqrt{n} }[/tex]

So  at constant [tex]\sigma[/tex] if n increases [tex]\sigma_{\= x }[/tex] decreases

So from the question if ten more urban homeowners are asked the question the samples standard error decreases

HELP PLEASE 50 POINTS
A mechanic charges $125 plus $25 per hour of labor. The equation c=25n+125
describes the total she would charge for a service visit, where n represents the number of
hours of labor and c is the total cost. Graph the equation and using the graph, find how
much he charges when she works 3 hours.

Answers

Answer:

See Attachment for graph

Charges = $200 when number of she works for 3 hours

Step-by-step explanation:

Given

Charges = $25 per hour + $125 (c = 25n + 125)

Required

Graph the equation.

From the graph, determine c when n = 3

To plot the graph; first, we have to determine the points to use;

When n = 1

[tex]c = 25 * 1 + 125[/tex]

[tex]c = 25 + 125[/tex]

[tex]c = 150[/tex]

When n = 2

[tex]c = 25 * 2 + 125[/tex]

[tex]c = 50 + 125[/tex]

[tex]c = 175[/tex]

When n = 3

[tex]c = 25 * 3 + 125[/tex]

[tex]c = 75 + 125[/tex]

[tex]c = 200[/tex]

When n = 4

[tex]c = 25 * 4 + 125[/tex]

[tex]c = 100 + 125[/tex]

[tex]c = 225[/tex]

Plotting n on the x axis and c on the y axis; we have

c   ||   n

1    ||   150

2   ||   175

3   ||    200

4   ||    225

(See attachment)

From the attachment;

When she works for 3 hour; This implies that n = 3

And c = $200 when n = 3

See Proof

[tex]c = 25n + 125[/tex]

Substitute 3 for n

[tex]c = 25 * 3 + 125[/tex]

[tex]c = 75 + 125[/tex]

[tex]c = 200[/tex]

In the Olympic tennis event ( in which each tennis player gets eliminated from the tournament after the first defeat) there are 37 players participating. Can you − in 5 seconds − count how many matches there need to be until there is one

Answers

Answer:

approximately 19 matches for single player contest and 9 matches for double player contest

Step-by-step explanation:

However, it is important to note that a tennis match is usually between two players (one player to one) or two teams of players (two players to two players),

So, there may be approximately 19 matches for single player

([tex]\frac{37 players}{2}[/tex]) and approximately 9 matches ([tex]\frac{18.5}{2}[/tex]) for double player contest.

In Omarion's bag of M&Ms, 1/3 were red, 1/4 were yellow, 1/6 were blue, and 1/4 were orange. He picks out a candy without looking. What color candy is he least likely to choose?

Answers

Answer:

RED

Step-by-step explanation:

First of all, we will make all candies common, so we will expand the denominators.

1/3  

1/4

1/6

1/4

all equal at 12So there is a total of 12 candiesthen the new version of the candies is

4/12

3/12

2/12

3/12

the most red sugar

#achievements

Find the first term in the sequence when u(subscript)31=197 and d= 10.

Answers

Answer:

197 = 10(31-1) + a

197 = 300 + a

-103 = a

Explain how to perform a​ two-sample z-test for the difference between two population means using independent samples with known.

Answers

Answer:

The steps 1-7 have been explained

Step-by-step explanation:

The steps are;

1) We will verify that the population standard deviations are known and that the population is normally distributed which means the sample size must be a minimum of 30.

2) We will state the null and alternative hypothesis

3) We will determine the critical values from the relevant tables

4) From the critical values gotten, we will determine it's corresponding region where it can be rejected.

5)We will calculate the value of the test statistic from the formula;

z = [(x1' - x2') - (μ1 - μ2)]/√[((σ1)²/n1) + ((σ2)²/n2)]

6) If the value of the test statistic gotten from step 5 above falls in the region of rejection noted in step 4,then we will reject the null hypothesis

7) After rejection of the null hypothesis, we will now give a decision/conclusion on the claim.

2.1x10^8 is how many times the value of 4.2x 10^2

Answers

Answer:

500,000

Step-by-step explanation:

(2.1 * 10^8)/(4.2 * 10^2) =

= 2.1/4.2 * 10^8/10^2

= 0.5 * 10^6

= 500,000

The division of 2.1 × 10⁸ and 4.2 × 10² thus the exponent 2.1 × 10⁸ is 500000 times the exponent 4.2 × 10².

What is a number system?

The number system is a way to represent or express numbers.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

As per the given exponents 2.1 × 10⁸

Let's assume 2.1 × 10⁸ is x times 4.2 × 10².

2.1 × 10⁸ = x (4.2 × 10²)

x = 2.1 × 10⁸/4.2 × 10²

x = 500000

Hence "The division of 2.1 × 10⁸ and 4.2 × 10² thus the exponent 2.1 × 10⁸ is 500000 times the exponent 4.2 × 10²".

For more about the number system,

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can you help me with this homework please?​

Answers

Answer:

hey I was wondering if you still needed help?

what is the prime factorization of 7?

Answers

the prime factorization of 7 is 7

As Prime factorization is a process of writing all numbers as a product of primes then The prime factorization of number 7 is 7.

What is Number system?

A number system is defined as a system of writing to express numbers.

Prime factorization is a process of writing all numbers as a product of primes

The number 7 is a prime number, which means it is only divisible by 1 and itself.

Therefore, the prime factorization of 7 is simply 7 itself.

Hence, the prime factorization of number 7 is 7.

To learn more on Number system click:

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1) Find the volume and surface area of the composite figure below

2) Find the surface area of the composite figure below ​

Answers

1.

[tex]volume = 64(21 + 4\pi) = 2148.5714 \: cubic \: feets[/tex]

[tex]surface \: area = 752 + 64\pi = 953.143 \: square \: feets[/tex]

2.

[tex]surface \: area = 220 + 9\pi = 248.257 \: square \: feets[/tex]

Brady buys a 1 1/2 pound package of pulled pork for $12.60. From the choices below, select the unit price of the pulled pork in the package per pound.

Answers

Answer:

Since you did not post the the choice I'll go with out them.

Step-by-step explanation:

$12.60 ÷ 1 1/2=

12.60 ÷ 1.5= $8.40

Answer:

$8.40/lb

Step-by-step explanation:

           

                            $12.60                

The unit price is ------------ = $8.40/lb

                                1.5 lb

Need Help
Please Show Work​

Answers

Answer:

1= 65 degrees

2=115 degrees

3=115 degrees

Step-by-step explanation: supplementary angles where 115 + x = 180 so go backwards by 180 - 115=65 to find corresponding angles. Angle 3 is also corresponding with the given angle of 115. Angle 2 is opposite the 115 so they have to be equal

You have two lines. Line A measures 12/16, and line B measures 3/4.
a) Line A is longer
b) The lines are equal.
c) Line B is longer.

Answers

Answer:

B

Step-by-step explanation:

Let's compare the two values of 12/16 and 3/4.

Notice that 12/16 isn't a simplified fraction; both the numerator and denominator are divisible by 4. So divide the top and bottom by 4:

12 / 4 = 3

16 / 4 = 4

We are left with:

12/16 = 3/4

Now, we see that Line A and Line B are equal in length, so the answer is B.

~ an aesthetics lover

B


If you reduce 12 over 16 to its smallest form it changes to 3 over 4

Armando is baking 36 batches of brownies for the bake sale. Each batch of brownies takes cups of flour. What is a reasonable estimate of the amount of flour that he will need to bake all thirty-six batches of brownies?

Answers

Answer:

Well, let's assume that "cups" = 3 cups of flour.

Step-by-step explanation:

First, multiply 3x36.

If for some reason this is incorrect, try 2 cups instead of 3. Both are reasonable measurements when it comes to baking.

Ax + By = C for x. plz sove

Answers

Answer:

[tex]\boxed{\boxed{ x=\frac{C-By}{A}; A\neq 0}}[/tex]

Step-by-step explanation:

[tex]Ax+By=C\\\\Ax+By-By=C-By\\\\Ax=C-By\\\\\frac{Ax=C-By}{A}\\\\\boxed{ x=\frac{C-By}{A}; A\neq 0}[/tex]

Hope this helps.

Prove that if n is an integer, these four statements are equivalent: (i) n is even, (ii) n 1 is odd, (iii) 3n 1 is odd, (iv) 3n is even.

Answers

Answer:

Step-by-step explanation:

Hello,

If n is even, it means that we can find k integer such that n = 2 * k.

Then n+1=2*k+1 is odd.

3n+1=6k+1=2*(3k)+1 where 3k is an integer so 3n+1 is odd.

3n = 2*(3k) is even.

Besides, if n+1 is odd we can find an integer p so that n+1=2p+1 so n = 2p is even.

3n+1 is odd means that we can find an integer q such that 3n+1=2q+1 so 3n=2q as 3 is not dividable by 2, it means that n is a multiple of 2, then n is even.

3n is even means that we can write 3n = 2z where z is an integer and again it means that n is a multiple of 2 and then n is even.

Thank you.

2. Place the following values in scientific notation:
2020000 m
C. 0.003020 km
9901000 m/s
d. 0.001100 mm

Answers

Answer: a. [tex]2.02\times10^6\ m[/tex]

b. [tex]9.901\times10^6\ m/s[/tex]

c. [tex]3.02\times10 ^{-3}\ km[/tex]

d. [tex]1.1\times10^{-3}\ mm[/tex]

Step-by-step explanation:

Scientific notation is a technique to express a very big or a very small number in the product of a decimal form of number ( between 1 and 10) and powers of 10.

a.  [tex]2,020,000 m\ = 2.02\times1,000,000=2.02\times10^6\ m[/tex]

b. [tex]9,901,000\ m/s =9.901\times1000000=9.901\times10^6\ m/s[/tex]

c. [tex]0.003020\ km=\dfrac{3020}{1000000}[/tex]

[tex]=3.02\times10 ^{-3}\ km[/tex]

d. [tex]0.001100\ mm=\dfrac{1100}{1000000}=\dfrac{11}{10000}[/tex]

[tex]1.1\times10^{-3}\ mm[/tex]

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in what 4 ways are natural resources beneficial to Ghanian. average age of 15 students of iub 11years if teacher is also included average age becomes 13 years how old is teachers Determine the equation of the graph and select the correct answer below.(1, 1-3)Courtesy of Texas Instruments Read this excerpt from Federalist Paper No. 1 and answer the question that follows: Federalist Papers: No. 1 General Introduction For the Independent Journal Author: Alexander Hamilton AFTER an unequivocal experience of the inefficiency of the subsisting federal government, you are called upon to deliberate on a new Constitution for the United States of America. The subject speaks its own importance; comprehending in its consequences nothing less than the existence of the UNION, the safety and welfare of the parts of which it is composed, the fate of an empire in many respects the most interesting in the world. It has been frequently remarked that it seems to have been reserved to the people of this country, by their conduct and example, to decide the important question, whether societies of men are really capable or not of establishing good government from reflection and choice, or whether they are forever destined to depend for their political constitutions on accident and force. If there be any truth in the remark, the crisis at which we are arrived may with propriety be regarded as the era in which that decision is to be made; and a wrong election of the part we shall act may, in this view, deserve to be considered as the general misfortune of mankind. Based on this quote from the excerpt, with which of these statements would Hamilton agree? 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She had been told to make all observations that she could, so she held the beaker close to her nose and took a good whiff. explain why ply(ethene) can become a pollutant? A direct-mapped cache holds 64KB of useful data (not including tag or control bits). Assuming that the block size is 32-byte and the address is 32-bit, find the number of bits needed for tag, index, and byte select fields of the address. Which statement best explains the effect of the US occupation of Japan? The United States brought governmental reform but had little economic impact. The United States allowed Japans emperor to take control of a capitalist economy. The United States steered economic growth but could not affect Japans government. The United States helped Japan become a democratic country with a strong economy. x - (-20) = 5 _________________ Suppose that 80% of all registered California voters favor banning the release of information from exit polls in presidential elections until after the polls in California close. A random sample of 25 registered California voters is selected.Required:a. Calculate the mean and standard deviation of the number of voters who favor the ban.b. What is the probability that exactly 20 voters favor the ban? Let f(x) = - 4x + 5. Find and simplify f(x + 2). "The internal rate of return method differs from the net present value method in that it results in finding the" ___________________ of the potential investment. Hey I know it's a lot who ever answer all I'm going to give brainliest answer thxs 1) DNA is a microscopic molecule made up of only _____ chemicals. 2) In the __________ all that was known about life was what could be seen through a _________________________. 3) Chromosomes are made of _______________ and ______________. 4) The ingredients that make DNA are known by the letters _____________________. 5) The first pictures of DNA were taken using _______________ crystallography. 6) To determine the structure of DNA, Watson & Crick chose to build _______________. 7) Watson & Crick announced they had a DNA model on _____________________. 8) After seeing the model, Rosalind Franklin said that it was _____________________. 9) Chargaffs rule stated that the amount of _____ and the amount of _____ were equal and the amount of _____ and the amount of _____ were equal. 10) The X-pattern of DNA was the result of a shape known as a _________________________. 11) In a molecule of DNA there could be hundreds of millions of _____________________. 12) The letter ____ always combines with ____ and the letter ____ always combines with ____. 13) Watson & Crick produced their final model on _________________________. 14) Rosalind Franklin never received a Nobel prize because she _______________. 15) For DNA to be replicated it must first be _____________________. 16) The single strand of DNA is then ________________ and formed into a ________________. Why safe drinking water is important A portfolio to the right of the market portfolio on the CML is: Group of answer choices a lending portfolio. an inefficient portfolio. a borrowing portfolio. PLEASE HELP!!!! I'll mark Brainliest for whoever is first!!!!What does this snippet of code do? birds = ["robin", "finch", "grackle", "crow", "wren"] for i in birds: print(i) It counts the number of birds in the list. It prints the index and then each bird name. It prints each bird name on a separate line. It prints each index number on a separate line. ROI, Residual Income, and EVA with Different Bases Envision Company has a target return on capital of 12 percent. The following financial information is available for October ($ thousands):Software Division . Consulting Division Venture Capital Division(Value Base) (Value Base) (Value Base)Book Current Book Current Book CurrentSales $100,000 $100,000 $200,000 $200,000 $800,000 $800,000Income 12,250 11,700 16,400 20,020 56,730 51,920Assets 70,000 90,000 100,000 110,000 610,000 590,000Liabilities 10,000 10,000 14,000 14,000 40,000 40,000Requireda. Compute the return on investment using both book and current values for each division. Round answers to three decimal places.Book Value Current ValueSoftware Answer ? Answer ?Consulting Answer ? Answer ?Venture Capital Answer ? Answer ?b. Compute the residual income for both book and current values for each division. Use negative signs with answers, when appropriate.Book Value Current ValueSoftware $Answer 3,850 $Answer 900Consulting Answer 4,400 . Answer 6,820Venture Capital Answer (16,470) Answer (1,880)c. Compute the economic value added income for both book and current values for each division if the tax rate is 30 percent and the weighted average cost of capital is 10 percent. Use negative signs with answers, when appropriate. Book Value Current ValueSoftware $Answer ? $Answer ?Consulting Answer ? Answer ?Venture Capital Answer ? Answer ?