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## Henry’s little brother has \$8\$ identical stickers and \$4\$ identical sheets of paper. how many ways are there for him to put all of the stickers on the sheets of paper, if only the number of stickers on each sheet matters?

The easiest way to visualize
and answer this is to list all possible combinations or arrangements on the 4 sheets of paper.

Take note that the arrangement is as following:

# of stickers on sheet 1 – # of stickers on sheet 2 – # of stickers on sheet 3 – # of stickers on sheet 4

8 – 0 – 0 – 0

7 – 1 – 0 – 0

6 – 2 – 0 – 0

6 – 1 – 1 – 0

5 – 3 – 0 – 0

5 – 2 – 1 – 0

5 – 1 – 1 – 1

4 – 4 – 0 – 0

4 – 3 – 1 – 0

4 – 2 – 2 – 0

4 – 2 – 1 – 1

3 – 3 – 2 – 0

3 – 3 – 1 – 1

3 – 2 – 2 – 1

2 – 2 – 2 – 2

Therefore there are a total
combinations of 15 arrangements of stickers on sheets of paper.

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## The weight of 10 identical samples of a substance is 0.1 pound. What is the weight of 1000 samples

The weight of 10 identical samples of a substance is 0.1 pound. What is the weight of 1000 samples

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## In asexual reproduction, the offspring are similar, but not identical, to the parents. True False

The integumentary system covers the surface of the body is true about the integumentry system.

Explanation:

The integumentary system includes the skin, nails, glands, hairs, and nerves. Its main role is to act as a barrier to protect the body from the outside environment. It also retains body fluids, regulates body temperature, eliminates waste products, and protects against disease.

The integumentary system is the largest organ in the body that covers the surface of the body.

Thus, The integumentary system covers the surface of the body is the true statement about the integumentry system.

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## The weight of 10 identical samples of a substance is 0.1 pound. What is the weight of 100 samples?

The weight of 10 identical samples of a substance is 0.1 pound. What is the weight of 100 samples?

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## There are many refranes in Spanish with similar or nearly identical translations in English.

You can stay connected to Spanish and its culture in the future by continuing to take Spanish classes, listen to Spanish music, cook Spanish recipes, or downloading the Duolingo app to further learn the language.

Learning the Spanish language makes you look diverse academically, you can cover your college language credits if you take enough in high school, too. Personally, you are helping your brain to grow and connect regions of your brain by learning and figuring out the language that can’t otherwise be connected except by learning a language. Socially, you can connect and talk to people in Spanish, professionally you may be the chosen hire and be paid double if you know a language such as Spanish. These are a few examples, I hope they help!!

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## WORTH 25 POINTS PLEASE ANWNSER AND DONT GUESS Fossils of the coelocanth, a primitive fish, date back about 140 million years. Modern coelacanths are virtually identical to their fossil ancestors. This species most likely evolves through the process of A. convergent evolution. B. punctuated equilibrium. C. coevolution. D. gradualism.

WORTH 25 POINTS PLEASE ANWNSER AND DONT GUESS Fossils of the coelocanth, a primitive fish, date back about 140 million years. Modern coelacanths are virtually identical to their fossil ancestors. This species most likely evolves through the process of A. convergent evolution. B. punctuated equilibrium. C. coevolution. D. gradualism.

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## Mitosis and binary fission are both forms of cell division that produce identical, or close to identical, daughter cells. What is a difference between these two processes?

Correct answer: C). Genetically different haploid cells

Meiosis is a type of cell division in which four haploid cells are produced, which are genetically different from the parent. It reduces the chromosome number exactly half as contained in the parent. That is why it is called as a reductional division.

In the first round of meiosis I homologous pairs of chromosome separate and the sister chromatids separate during meiosis II.

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## Scientists are able to use DNA to produce an identical copy of an organism's in this produreArtificial selection.Gene manipulationcloningGenetic engineering

Scientists are able to use DNA to produce an identical copy of an organism’s in this produreArtificial selection.Gene manipulationcloningGenetic engineering

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## Cell Division There are two types of cell division. The first (A) produces cells that are identical to the original cell. The second (B) produces cells that are different from the original cell. Which type of cell division do you think is responsible for these processes? replacement of damaged skin cells growth of an organism production of sperm and egg cells

The integumentary system covers the surface of the body is true about the integumentry system.

Explanation:

The integumentary system includes the skin, nails, glands, hairs, and nerves. Its main role is to act as a barrier to protect the body from the outside environment. It also retains body fluids, regulates body temperature, eliminates waste products, and protects against disease.

The integumentary system is the largest organ in the body that covers the surface of the body.

Thus, The integumentary system covers the surface of the body is the true statement about the integumentry system.

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## Rue or false: meiosis produces daughter cells that have half the number of chromosomes as the parent cell, but are genetically identical to the parent cell.

The correct answer to this would be:

“inability of many medium ground finches to feed on large,
hard seeds”

The medium ground finches feed on seeds. However, the birds
have two variations in the bill shape: some birds have wide, deep bills while others
have thinner bills. The large-billed birds feed more proficiently on large,
hard seeds, while the smaller billed birds feed more proficiently on small,
soft seeds. The reduction in number started in 1977, when a drought period
altered vegetation on the island. Due to this event, the number of seeds
declined dramatically; the decline in small, soft seeds was larger than the
decline in large, hard seeds. The large-billed birds were able to endure better
than the small-billed birds thus resulting in decline in number.

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## Producers A.convert inorganic material into energy B. convert sunlight into energy C.produce identical offspring D. are found only in tropical climates

Producers A.convert inorganic material into energy B. convert sunlight into energy C.produce identical offspring D. are found only in tropical climates

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## The cell cycle produces daughter cells that _________ select one: a. are genetically identical to the parent cell (assuming no mutation has occurred). b. have the same number of chromosomes as the parent cell but not the same genetic content. c. have a random assortment of maternal and paternal chromosomes. d. have the same number of chromatids as the parent cell had chromosomes. e. none of the above.

The correct answer to this would be:

“inability of many medium ground finches to feed on large,
hard seeds”

The medium ground finches feed on seeds. However, the birds
have two variations in the bill shape: some birds have wide, deep bills while others
have thinner bills. The large-billed birds feed more proficiently on large,
hard seeds, while the smaller billed birds feed more proficiently on small,
soft seeds. The reduction in number started in 1977, when a drought period
altered vegetation on the island. Due to this event, the number of seeds
declined dramatically; the decline in small, soft seeds was larger than the
decline in large, hard seeds. The large-billed birds were able to endure better
than the small-billed birds thus resulting in decline in number.

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## Six identical squares are cut from the corners and edges of an 80 cm by 50 cm cardboard rectangle. the remaining piece is folded into a closed box with 3 flaps. what is the largest possible volume of such a box?

Solution:

The Given Rectangle having dimensions

Length = 80 cm

Let the Six squares which has been cut from this rectangle have side of length a cm.

Area of each square = (Side)²= a²

Area of 6 Identical Squares = 6 × a²= 6 a²

If four squares are cut from four corners and two along Length,

then , Length of Box = (80 – 3 a)cm, Breadth of Box = (50 – 2 a)cm, Height = a cm

Volume of Box =V = Length × Breadth × Height

V = (80 – 3 a)× (50 – 2 a)× a

V   = 4000 a – 310 a² + 6 a³

For Maximum Volume

V’= 0 , where V’ = Derivative of V with respect to a.

V’= 4000 – 620 a + 18 a²

V’ =0

18 a² – 620 a + 4000= 0

9 a² – 310 a + 2000=0

using determinant method

cm

V”=1 8 a – 310 = -ve

which shows , when a = 8.6 cm , volume is maximum.

So, V = 4000×8.6 – 310×(8.6)²+6×(8.6)³=15288.736 cm³

OR

If four squares are cut from four corners and two along Breadth,

then , Length of Box = (80 – 2 a)cm, Breadth of Box = (50 –  3 a)cm, Height = a cm

Volume of Box =V = Length × Breadth × Height

V = (80 – 2 a)× (50 – 3 a)× a

V   = 4000 a – 340 a² + 6 a³

For Maximum Volume

V’= 0 , where V’ = Derivative of V with respect to a.

V’= 4000 – 680 a + 18 a²

V’ =0

18 a² – 680 a + 4000= 0

9 a² – 340 a + 2000=0

Using Determinant method

cm

V”=18 a -340= -ve value when a = 7.6 cm, shows volume is maximum when a = 7.6 cm

V= 4000×7.6 -340 × (7.6)² +6× (7.6)³=13395.456 cubic cm

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## The circuit to the right is constructed using 9 identical batteries and 9 identical resistors. the lower left corner of the circuit is grounded. determine whether the current through each resistor is zero or non-zero.

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

Explanation:

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t²      (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the  equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

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## Which describes the four cells that are produced at the end of meiosis? identical haploid cells genetically different diploid cells genetically different haploid cells identical diploid ce?

There are two systems in the human body that are responsible for the coordination between the functions of different systems to achieve the unity of the living organism’s body. These two systems are the nervous system and the endocrine system. The action of the nervous system is fast and takes a short time, while the action of the endocrine system is slow and takes a long time.

The functional unit of the nervous system is the nerve cell or the neuron. The neuron consists of a cell body and the axon. The cell body starts with the dendrites that receive the messages or the impulses from other neurons or from different sense organs or receptors. These impulses are then transmitted through the cell body. The cell body contains a nucleus and different organelles which help the nerve cell to perform its functions. The nerve impulse is then transmitted to the axon.

The axon is an extension from the cell body. There are some cells called Schwan cells that secrete a myelin sheath to insulate the axon from the surrounding medium. The insulated axons have more ability to conduct the impulses than non-insulated axons. The axon ends with the terminal arborizations. The terminal arborizations of a nerve cell connect to the dendrites of the next cell or to the afferent organ. The gaps between the dendrites and the terminal arborizations are called the synapses.

The nerve impulse is an electrochemical phenomenon i.e. an electrical phenomenon with a chemical nature. The membrane of the axon acts as a barrier between an outside positively charged medium and an inside negatively charged medium. This makes a potential difference of  -70mV. This state is called the resting potential. When the membrane is subjected to a stimulus, the positive charges enter to inside and the negative charges exit to the outside. The potential difference now becomes +40mV. This state is called the depolarization state. The point of stimulation acts as a new stimulus for the next point and so on. The membrane sooner gains its permeability again and the positive charges return to the outside and the negative charges to inside. This state is called repolarization.

The nerve impulse reaches the synapse. There are some neurotransmitters that are excited by the nerve impulse coming and carry the message across the membrane. Some receptors receive theses neurotransmitters on the dendrites of the next neuron. These receptors act as a stimulus for the new cell.

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## __________ who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code. A. Male siblings B. Adopted siblings C. Identical twins D. Fraternal twins Please select the best answer from the choices provided A B C D Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in __________ in small group settings. A. consensus democracy B. obedience and punishment C. law and order D. ethical behaviors Please select the best answer from the choices provided A B C D Which of the following is a method of scaffolding? A. explaining the correct way of doing something without errors B. correcting the mistakes of a learner without explaining why C. telling a learner that they have made a mistake D. showing a learner how to correct common mistakes Please select the best answer from the choices provided A B C D

“Identical twins” who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code.

Identical twins originate from a single fertilized egg that parts into two. Before it parts, it is either male or female. After it parts, there are either two guys or two females. The two sections of the fertilized egg embed in the uterus and every create one of the twins.

Identical twins have the equivalent hereditary source. No immediate reason for monozygotic twinning has been resolved; it isn’t innate. Monozygotic twins speak to around 33% all things considered. They may look strikingly comparative, and it might be hard to reveal to them separated.

Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in “consensus democracy” in small group settings.

Lawrence Kohlberg felt that the best way to support development through these stages was by discourse of good problems and by investment in consensus democracy inside small groups. Consensus democracy was rule by understanding of the gathering, not larger part rule. This would invigorate and widen the reasoning of youngsters and grown-ups, enabling them to advance starting with one phase then onto the next.

3. The answer is “D.  showing a learner how to correct common mistakes”.

The term scaffolding alludes to a procedure in which instructors display or exhibit how to take care of an issue, and afterward venture back, offering support as required. Analyst and instructional architect Jerome Bruner first utilized the term ‘scaffolding’ in this setting, harking back to the 1960s. The hypothesis is that when understudies are given the help they require while discovering some new information, they stand a superior possibility of utilizing that learning freely. Bruner suggests positive association and three methods of portrayal amid educating: activities, pictures, and dialect.

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## The weight of 100 identical samples of a substance is 0.01 pound. What is the weight of 10,000 samples?

A delivery of 3 large boxes and 5 small boxes has a total weight of 135 kilograms.
3l + 5s = 135A delivery of 9 large boxes and 7 small boxes has a total weight of 279 kilograms
9l + 7s = 279

Another of the same type of thing, two variables, two equations, enough info to suss out the details.  In this type of problem check the total against one of the factors to see if there’s an even division, that’s usually the avenue that leaves the prettiest whole numbers.  Here you could solve the first one for s, ending up with 135/5 and 3/5

3l + 5s = 135
5s = 135-3l
s=135/5-3/5l
s=27-0.6l

Sub that s into the other equation:

9l + 7s = 279
9l + 7(27-0.6l) = 279
9l + 189-4.2l = 279
4.8l+189=279
4.8l = 90
l = 18.75

Toss that into one of the equations and solve for exact s:
9l + 7s = 279
9(18.75) + 7s = 279
s=15.75

Hope it helps to learn it, you have many avenues to approach it, solving either equation for either variable to begin with.  If your numbers get ugly or you’re getting frustrated sometimes helps to start over, maybe start with the other equation or a different variable, maybe you’ll come across the method they designed the problem with that gives “pretty” numbers, but if you keep going even with irrational numbers like 8.6666666666666666666666, you’ll get the right answer no matter which place you start.

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## The weight of 100 identical samples of a substance is 1 pounds. What is the weight of 10 samples

The weight of 100 identical samples of a substance is 1 pounds. What is the weight of 10 samples

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## Once isolated, the identical population of shrimp began to evolve differently from one another. What factors may have caused these separated groups to physically change from their original parent species?

It’s option 3, The consumers on the web would likely starve.

Phytoplankton are at the bottom, which means they are the most important, they feed the krill, and if the plankton die off, the krill will starve, and when the krill starve, their population starts going down, leading to the zooplankton, fish, birds, seals, and pretty much everything else starving and more thank likely dying. This is why people are so concerned about certain endangered species dying out.

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## Eight identical shirts cost a total of \$152. how much does one shirt cost?

Ursula can make two batches (2) of brownies with fraction 1 over 2 cup of butter.

Step-by-step explanation:

A fraction of 1 over 2 is .

A fraction of 1 over 4 is .

Ursula has cup of butter available to make brownies, and we know that she uses cup of butter to make a batch of brownies.

We are obviously dealing here with fractions, and we have to remember:

• How to divide two fractions.
• If we compare two fractions with the same numerator, the fraction with the smaller denominator is the largest one.

Therefore, is larger than .

### Part A

How many batches of brownies can Ursula make with fraction 1 over 2 cup of butter?

Because Ursula uses cup of butter to make a batch of brownies, and she has cup of butter, then she needs to know how many times does fit into (we already know that is larger than ), or

÷ which is , or, equivalently:

.

That is, there are two into . So, if Ursula can make one batch of brownies with cup of butter, then she can make two batches of brownies with two cup of butter.

We can see that two is , which gives us the total of butter available or .

Then, the answer is that Ursula can make two batches of brownies with the cup of butter available.

### Part B

There is a sketch as an attachment of the total of butter that Ursula has to make brownies (see below) labeled Making a Batch of Brownies.

We can divide the cup of butter into four equal parts. Each part is equivalent to of the total of butter available. In other words, we divided the cup of butter into four equal parts.

We also know that Ursula has cup of butter available, and we can appreciate from the sketch that she only has two or two quarters of butter, which is equivalent to or a half of a cup of butter, because .

So, she can make two batches of brownies with the available butter because she uses cup of butter to make each one, which confirms the result obtained in the Part A.

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## Gary has a credit card with an APR of 13.57%, compounded monthly. He would like to pay off the \$1,847.42 card balance over the course of two and a half years by making identical monthly payments. Assuming that he makes no additional purchases on his card, how much must Gary pay every month to reach his goal? (Round all dollar values to the nearest cent.) a. \$72.96 b. \$137.45 c. \$61.58 d. \$86.29

1. When John received his W2, he received several copies. Why was he sent multiple copies of this form?

The different copies are for John and each tax return he may file

2. Who sent John this W-2?

John’s employer – ProperLiving Widget Engineering & Design

3. How much did John make in wages in the 2014 tax year? (assuming this was John’s only job)

I do not know

4. How much did John ‘take home’ in net pay? (assuming this was John’s only job)

I do not know

5. How much did John save in his 401(k) in the 2014 tax year?
I do not know

Yes

8. Select what would happen to your 1) taxable income and 2) tax liability when you are able to claim a deduction such as student loan interest?

1) lower 2) higher

9. Which are tax deductible?

Student loan payments

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## Which of the following statements is the best explanation of why siblings who are not identical twins are not exactly the same? A. Once a parent has passed traits to one child, that parent cannot pass the same traits to a second child. B. Parents choose which traits to pass to each child. C. Each child receives some traits from each parent. D. Each child receives all of his or her traits from only one parent.

The correct answer would be C) 1/4.

The genotype of both parents is Bb.

Thus, each parent would produce two types of gametes. One gamete would contain B and the other would contain b.

The cross would result in the production of offspring with three types of genotypes BB, Bb, and bb in the ratio 1:2:1.

The phenotype ratio would be 3(black fur): 1 (brown fur).

Thus, the frequency or probability of BB would be one out of four, that is, 1/4.