A solid with volume 12 cubic units is dilated by a scale factor of k. Find the volume of the image for 1/4

Answers

Answer 1

The volume of the image for 1/4 is 3/16 cubic units.

You can make use of the idea that the solid is composed of 12 cubes, each with a side length of one unit. For k = 1/4, the volume of the dilated solid's image is 3/16 cubic units.

Given that the initial solid had 12 cubic units. Its volume was the same as the sum of the volumes of 12 cubes with a unit side length. Given that the scale factor of the dilation is k, each cube's side length has been multiplied by k.

Now, V = 12 x k^3 gives the volume of a 12-cube pyramid whose sides are each k units long. Given that k = 1/4, we can calculate V as follows: 12 x (1/4)^3 = 3/16 unit3. Therefore, for k = 1//4, the volume of the dilated solid's image is 3/16 cubic units.

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Related Questions

Iconic maine species such as moose, canada lynx, loons, boreal chickadees, eastern brook trout, saltmarsh sparrows and atlantic puffins are under stress from climate change. A mutation in the boreal chickadees increases the ability of the bird to catch and eat certain insects. Which factor might determine whether the frequency of the new allele will increase?.

Answers

The frequency of the new allele may be determined by whether the mutation offers the chickadees better access to food sources than those without it.

Mutation:

A mutation is a permanent change in the genetic material (the genome) of a cell of a live creature or of a virus that may be passed on to the cell's or virus's progeny. (Organic genomes are all made of DNA, although viral genomes can be made of either DNA or RNA; see heredity. The Physical Basis of Heredity.) A mutation in the DNA of a body cell of a multicellular organism (somatic mutation) can be passed on to descendant cells via DNA replication, resulting in a sector or patch of cells with abnormal function, such as cancer.

Mutations occur as a result of errors during the regular chemical transactions of DNA, most commonly during replication, or as a result of exposure to high-energy electromagnetic radiation (e.g., ultraviolet light or X-rays), particle radiation, or highly reactive substances in the environment. Mutations are believed to be largely harmful since they are random alterations, although some may be advantageous in specific settings. In general, the mutation is the primary source of genetic variation, which serves as the raw material for natural selection evolution.

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Which of the following best describes the genetic material a person receives from each parent?

Answers

I'm pretty sure an x or y chromosome

What is the process in which an mrna molecule is used to synthesize a specific polypeptide on a ribosome?.

Answers

The process in which an m-RNA molecule is used to synthesize a specific polypeptide on a ribosome is called translation.

m-RNA stands for messenger RNA. It is the main coding enzyme that encodes the information from the DNA sequence to be translated to the protein. It is transcribed from the DNA with the help of enzyme RNA Polymerase II in eukaryotic cells.

Ribosome is a nucleoprotein. It is the main machinery for the synthesis of protein. The ribosome is composed of two subunits: a small subunit and  a large subunit. There are two types of ribosomes: 70 S type and 80 S type.

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Why is photosynthesis and cellular respiration considered a cycle?

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Answer:

Cellular respiration and photosynthesis are considered a cycle because the product (end material) of one reaction serves as the starting material for the other reaction

Explanation:

The starting material for cellular respiration is sugar and water and the products are carbon dioxide and water. Water and carbon dioxide are starting material for photosynthesis.

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What defines a substantial increase in a jellyfish population within a short time?.

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As a result of a greater reproductive rate, a jellyfish bloom is described as a significant rise in a jellyfish bloom within a short period of time.

What drives the growth in the number of jellyfish?

Because jellyfish can survive with less oxygen than many other marine animals, the rise in their population has been linked to hotter waters and even increasing pollution.

What does it signify when there are many jellyfish present?

The recent period of sunny skies and southerly winds may have increased the amount of nutrients in the water, enhancing the conditions for jellyfish repopulation. One aspect that contributes to enormous jellyfish spawning like those is eutrophication, which is the scientific word for an overabundance of nutrients.

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perspective that our genes and environmental influences work together to determine our characteristics

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Environmental factors often influence traits independently of genes. Either of these effects can change the proteins that are made from a gene, which in turn affects traits.

How do environment and gene determine our personality?

Some genes increase the characteristic and others work to decrease the same characteristic-complex relationship among the various genes, as well as a variety of random factors, produce the final outcome.

Because of their genetic makeup, individuals differ in their responsiveness to the qualities of the environment. There are unique, genetically influenced reactions to particular experiences to which we are exposed.

The presence of drugs and chemicals in an organism's environment can also influence gene expression in the organism. The environment can affect morphological and physiological development whereas genes influence morphology and physiology, creating a framework within which the environment acts to shape the behavior of an individual.

Hence in this way, genes and environmental influences work together to determine our characteristics.

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Which of the following is a basic type of vaccine?
Select all that apply.
a. nucleic acid vaccines
b. subunit vaccine
c. live, attenuated vaccine
d. antitoxin vaccines

Answers

The basic type of vaccines are:

nucleic acid vaccines

subunit vaccine

live, attenuated vaccine

An easy, secure, and reliable method of preventing hazardous infections before you are exposed to them is vaccination. It boosts your immune system and builds up your body's natural defenses against particular illnesses.

Your immune system is trained by vaccinations to produce antibodies, exactly as it does when it is exposed to a disease. However, because vaccinations only include dead or weakened versions of bacteria or viruses, they do not really cause the disease or increase your chance of developing its symptoms.

In order to create immunity, vaccines act in conjunction with your body's natural defenses. Your immune system reacts when you receive a vaccination.

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Earth has several nutrient cycles that share similarities, but also differ. Connect each feature of a cycle that relates to the phosphorus, nitrogen, or carbon cycle. You may use cycles, and the features of the cycles, more than one time each.

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Excess present in fertilizers can upset the balance of the cycle---- Nitrogen and phosphorus cycles.

Mostly in a form unusable by organisms--- nitrogen

Present in soil and organisms ---- carbon and nitrogen

Involved in respiration---- carbon

Fixed by bacteria from the atmosphere----- nitrogen

Often deposited on the ocean floor--- phosphorus

Excess present in the atmosphere can upset the balance of the cycle--- carbon.

How are the phosphorus, nitrogen, and carbon cycles interconnected?

Every living organism is made up of atoms of carbon, nitrogen, and phosphorus. Nitrogen and carbon are present in amino acids which are responsible for making proteins. Phosphates form DNA and ATP molecules. The availability of these elements has great importance to the existence of living things.

Nitrogen Cycle is a process in which nitrogen is converted into other forms that are passing from the atmosphere to the soil, then to organisms, and back into the atmosphere. It has several processes such as nitrogen fixation, nitrification, and denitrification, etc.

The carbon Cycle is a process of circulation of carbon through biotic and abiotic parts of the ecosystem. It is a type of gaseous cycle. Phosphorus Cycle is a process of circulation of phosphorus through biotic and abiotic parts of the ecosystem. It is considered a sedimentary cycle.

So we can conclude that the phosphorus, nitrogen, and carbon cycles are interconnected to each other because they are important for the survival of the organism.

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a(n) cell contains two sets of chromosomes, one set of chromosomes inherited from each parent. multiple choice question.

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A diploid cell contains two sets of chromosomes, one set of chromosomes inherited from each parent.

A diploid cell contains two full sets of chromosomes. With 23 chromosomal pairs totaling 46 chromosomes, diploid human cells predominate. 22 pairs of autosomes and a pair of sex chromosomes make up this.

Chromosomes are arranged in homologous pairs in diploid cells. The term "diploid chromosomal number" refers to how many chromosomes are present in a cell as a whole (2n). In a diploid human cell, there are 46 chromosomes altogether since in this case, 2n = 46.

The DNA from both of the organism's parents makes up the homologous chromosomal pairs; the mother and father each contribute one chromosome to each pair.

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one kind of plasmid in bacteria is called an r plasmid. what kinds of genes are typically present on such plasmids?

Answers

One type of bacterial plasmid is called an r-plasmid. Types of genes typically present in such plasmids Antibiotic resistance genes

Antibiotic resistance genes are often carried in plasmids or transposons and are transferred from cell to cell by conjugation, transformation, or transduction. This gene exchange allows rapid spread of resistance within bacterial populations and between different bacterial species. Some genetically modified plants contain genes that make the plant resistant to certain antibiotics. Scientists often then and can say that add these resistance genes during genetic modification. This allows GM plants and cells to be distinguished from non-GM plants and cells.

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Explain your understanding of a calorie, how energy is stored in the body and what factors make our individual energy requirements so unique. A portion of our consumed energy goes towards physical activity each day. Share some of the daily activities you perform that you think would require this energy.

Answers

Calorie, a unit of energy, is the amount of energy expelled when the body breaks down food, it is stored in the body as glycogen or fat and gender, body weight, and age make individual energy requirements unique.

Some daily activities that require physical energy are Riding a bicycle, walking fast, hiking, skating. dancing, workouts.

How are calories burned?

Calories are energy people get from foods and drink they consume. Apart from basic metabolism, the way the body uses food determines how much calories the body burns.

The body stores this energy as glycogen or fat. Body weight, age and gender are determinants of the body's use of energy. Energy requiring activities include workouts, dancing, hiking etc., to burn calories.

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A life cycle in which the only multicellular form is haploid is most typical of __________.

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A life cycle in which the only multicellular form is haploid is most typical of fungi.

In the lifecycle process of fungi, the haploid stage of lifecycle is known to be multicellular and it is te dominant stage.

As a result of the haploid multicellular stage, specialized cells that are also haploid are made.

The process through which these haploid cells will be made is mitosis as for meiosis sexual process has to take place.

After mitosis, the specialized haploid cells that were produced are fused so that a diploid zygote can be formed which will grow into a new fungus.

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Which statement best explains the function of the vesicles?
Select one:
O Delivering packaged materials to the Golgi apparatus for protein
synthesis
O Transporting packaged molecules from the Golgi apparatus to
be released out of the cell
O Exchanging genetic information between the Golgi apparatuses
of separate cells
Extracting portions of the Golgi apparatus to be regenerated for
growth within the cell

Answers

The statement that best explains the function of vesicles is: (b) Transporting packaged molecules from the Golgi apparatus to be released out of the cell.

Vesicles are the membrane enclosed spherical structures that are involved in the process of transportation. The vesicles transport  packaged proteins and lipids from the Golgi body to lysosomes, ER or cell membrane. These vesicles are coated with certain protein that direct the pathway for the transport.

Golgi apparatus is a single membranous cell organelle. It is involved in the packaging, sorting and transport of proteins and lipids. The structure of Golgi is composed of cisternae and vacuoles.

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What part of the circulatory system is responsible both for disposing of cellular waste and providing cellular fuel?.

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The lungs are responsible both for disposing of cellular waste and providing cellular fuel.

To obtain oxygen, the circulatory system (cardiovascular system) pumps blood from the heart to the lungs. The heart then sends oxygenated blood to the rest of the body via arteries. The veins return oxygen-depleted blood to the heart to restart the circulation process. Blood vessels in the circulatory system transport blood away from and towards the heart. Arteries transport blood away from the heart, while veins transport blood back to the heart. The circulatory system transports oxygen, nutrients, and hormones to cells while also removing waste products such as carbon dioxide.

The lungs are an important part of the circulatory system because they provide oxygen for cellular respiration and remove waste products.

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what is microbial antagonism?

Answers

Microbial antagonism is the competition between microbial organisms for food assets and territory. As a result, if one organism out competes the other, this leads to the inhibition of the organism that failed to thrive in the surroundings.

Microbial antagonists have an indirect advantageous effect on plant life due to the fact they lessen the pressure from soil borne pathogens on the crop vegetation. however there is also a brilliant quantity of microorganisms inside the soil, that have a right away high-quality impact on plant increase and health (Somers et al., 2004).

Microbial antagonism continues ordinary microbiota from colonizing a few parts of the human body. Microbial antagonism takes place whilst members of the regular microbiota prevent pathogens from colonizing and turning into mounted within the frame.

Antagonism, in ecology, an affiliation among organisms in which one benefits at the expense of the opposite. As existence has evolved, herbal choice has favoured organisms which can be capable of correctly extract electricity and nutrients from their surroundings.

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The ability to produce language is a function of _________, whereas the ability to understand language is a function of _________.

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The ability to produce language is a function of Broca's area, whereas the ability to understand language is a function of Wernicke's area.

What distinguishes Wernicke's territory from Broca's area?

In essence, Wernicke's area strives to ensure that the language makes sense, but Broca's area attempts to guarantee that the language is produced in a fluent manner. The Wernicke-Geschwind model, which was later suggested by neurologist Norman Geschwind, built on this understanding of language.

Broca's area is situated in the neocortex's posterior-inferior frontal convexity, whereas Wernicke's area is restricted to the general region where the parietal, occipital, and temporal lobes converge. For the majority of people, the left hemisphere is where these areas function predominantly in terms of language.

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A student is developing a model of sex cell formation.
X
X
XX
XX
X
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DI
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Which of the following conclusions can be made from the student's modol of why the dna of the daughter cells is different from the dna of the parent cell?

Answers

Answer:

Can you please include the answer choices....

Explanation:

Thanks. I'll answer it tho.

a farmer performs a cross between two species of flowers and expects a distribution of red, pink, and white flowers. out of flowers, the following numbers of red, pink, and white flowers were observed. calculate the expected number of each type of flower.

Answers

Due of the flowers' inability to consistently produce the necessary 1:2:1 ratio of bloom colors, the farmer will be unable to meet demand. There are 250, 500, and 250.

A common flower is what?

The most widespread and well-liked flower genus in the world is undoubtedly the rose. There are over least 360 species of flowers in the Rosa genus, which includes these blooms. These blooms naturally occur in a variety of hues, including red, pink, apricot, and white.

What kind of flower is lovely?

Rose. The rose is known as the "queen of the garden" since it is thought to be the most flower petal in the entire world. It is one of most well-liked flowers on the planet and is available in a variety of hues and sizes. They are also widely distributed around the world.

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A parallel circuit ha a 12V power pack. It ha 2 branche each with a light bulb on. What i the potential difference of each of the light bulb?

Answers

The potential difference between each of the light bulbs will be 6.

According to ohms law,

V=IR

V=12v

R=2 (2 branches draw current so they serve as resistance)

I=V/R

=12/2

=6 A

This current will serve as the voltage difference between each light bulb.

The potential difference may be a degree of the sum of vitality exchanged between two points in a circuit. Potential contrast is additionally known as voltage and is measured in volts (V).

The potential difference over a component is measured by employing a voltmeter set in parallel with the component. Voltage, moreover, known as electric weight, electric pressure, or (electric) potential contrast, is the distinction in electric potential between two focuses.

In an inactive electric field, it compares to the work required per unit of charge to move a test charge between the two focuses.

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Please help me
It’s due

Answers

The effect of shortage of the following factors on the rate of photosynthesis is given below:

CARBON DIOXIDE (CO₂) - Slows down photosynthesisOXYGEN (O₂) - No changeGLUCOSE (C₆H₁₂O₆) - No changeSUNLIGHT - Slows down photosynthesisWATER (H₂O) - Slows down photosynthesis

What is photosynthesis?

Photosynthesis is the process by which plants produce food from carbon dioxide and water using the energy of sunlight.

The rate of photosynthesis is affected by the following:

amount of sunlight - the greater the amount of sunlight, the faster the rate of photosynthesisamount of carbon dioxide - the greater the amount of carbon dioxide, the faster the rate of photosynthesisamount of water vapor in the atmosphere - the greater the amount of water vapor, the faster the rate of photosynthesis

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HELP PLEASE!!! Match the correct term with the corresponding definition or description.

AND ANSWER ALL!!!!

Answers

The image below has the solution. To read the text, enlarge it.

Which of the following compounds can be classified as a proteins?

Answers

Where’s the picture?

The cell membrane pulls away from the cell wall as the cell loses water and shrivels during.

Answers

Answer: plasmolysis

Explanation:n a hypertonic solution, a cell with a cell wall will lose water too

sustainable development must be considered during the developmental activities justify this statement​

Answers

Sustainable development has been defined as development that meets the needs of the present without compromising the ability of future generations to meet their own needs

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In an experiment, you test whether the number of times you rub a cloth against a balloon changes how long it will stick against the wall. You start by rubbing the balloon 10 times with the cloth and stick it to the wall. You repeat this three times and record your results in a table.


Observation
Number of Times Balloon is Rubbed by Cloth Trial #1 Trial #2 Trial #3
10 6 seconds 20 seconds 20 seconds


What statement best reflects why you should do repeated trials in an experiment?
Rubbing the balloon against a cloth 10 times produces very different results each time it is repeated.
The first trial is right because it is done with new materials that give the best results.
The second and third trials were wrong because they were very different from the first trial.
You would make a wrong conclusion if it were based on the first trial in the experiment.

Answers

The statement that best reflects why you should do repeated trials in an experiment is:

You would make a wrong conclusion if it were based on the first trial in the experiment; option D.

What are experiments?

Experiments are tests or procedures performed to test a given hypothesis or theory about a given observation.

In performing experiments, the procedure usually involves the repetition of steps in the reaction.

Repetition is necessary in order to remove bias in measurements and to lower sampling and random error.

The steps in conducting experiments include the following:

stating the research questionstating the aim of the experimenetmaterial and methodsresults ad discussionconclusion

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when a skeletal muscle fatigues, what happens to the contractile force over time?

Answers

When a skeletal muscle fatigues the contractile force declines due to previous contractile activity. Once the muscle has reached maximum tetanic tension, there is no longer an increase in force generated by the muscle. At this stage, the muscle becomes fatigued and contractile force starts to decrease over time.

Due to earlier contractile activity, skeletal muscle weariness results in a decrease in contractile force. The muscle no longer produces an increase in force after it has stretched to its maximal tetanic tension. At this point, the muscle starts to ache and its contractile force starts to gradually decline. A sign of this kind is muscular weariness, which over time reduces the muscles' capacity for work. Sleepiness is only one symptom of fatigue. It may be difficult to get out of bed in the morning due to fatigue. Additionally, it makes it difficult for someone to do everyday duties. Physical exhaustion and mental fatigue are the two main categories of fatigue.

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Why are soft-bodied organisms less likely to leave a fossil trace than hard-bodied organisms?.

Answers

The soft body parts of the organism are more likely to deteriorate when buried inside the earth and hence they do not leave any fossil trace than the hard-bodied organisms.

Fossils are the remains, traces or impressions of the animals and plants that dies millions of years ago and were buried deep down in the Earth. The fossils provide information about the organisms of those times and also help in establishing the ancestral history of current organisms and their evolution.

Evolution is the change in species that occurs in long periods of time for generations over generations. The term evolution is a population concept because evolution can never be seen in one individual but is visible in a population.

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What is the purpose of microtubules during Mitosis?

Answers

The main purpose of microtubles during Mitosis is responsible for the separation and distribution of chromosomes to daughter cells.

Proper segregation of plasmids into daughter cells may incorporate which of the following strategies? o Random partitioning due to high copy number
o Polymerization of a filament that binds to, and physically separates plasmids
o Post-segregational killing via toxin / antitoxin system

Answers

Random partitioning due to high copy number, Polymerization of a filament that binds to, and physically separates plasmids and Post-segregational killing via toxin/antitoxin system are the ways incorporated to Properly segregate the plasmids into daughter cells.

Plasmids not only replicate, copying across to a daughter cell when a bacterium divides, but they can also pass between unrelated bacteria via mechanisms such as cell-to-cell contact or a 'bridging connection' in a process known as 'conjugation,' which has been described as the bacterial equivalent of sex.

Plasmid purification consists of three basic steps: bacterial culture growth, bacterial harvesting and lysis, and plasmid DNA purification. Low-copy number plasmids require a segregation mechanism to ensure that one-half of the plasmid copies are distributed to each daughter cell during cell division. This can be accomplished directly by partitioning plasmid copies via a mechanism similar to eukaryotic mitosis.

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Explain how a change in breathing rate is a homeostatic mechanism for a person at a higher
altitude.

Answers

An increased breathing rate takes in more oxygen to the lungs and bloodstream to maintain oxygen levels.

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When you revised your track, how did the law od conservation of energy lead to less kinetic energy than your first track. Be sure to mention the connection to gravitational potential energy as well. HELPP PLEASEEEE Which statement best reflects the solutions of the equation X over X minus one minus one over X -2 equals 2X -5 over X squared minus 3X +2 In order to gain access to politicians, interest groups will often? James Madison is known asthe second president of the United States.the Father of the Constitution.the author of the Star-Spangled Bannerall of the aboveThe British military began impressing American sailors by forcing them into service in the British navy. TrueFalseWhat nickname were Americans given who wanted war with England?Old IronsidesLoyalistsWar HawksMercenariesMany in America wanted war with England so they could help France, capture ___________, and free American ships from fear of attack.CanadaWest IndiesMexico The War of 1812 began because the British were interfering with American trade and for what other reason?The British had placed an embargo on all American ships.The British were angry about the alliance the Americans had with Spain.The British were impressing American seamen.The British had declared war on the United States.As the British advanced on Washington during the summer of 1814, First Lady Dolley Madison saved ________________ before leaving the White House.the original Constitutionan oil painting of George Washingtonthe Star-Spangled Bannerthe signed Declaration of IndependenceThe British were not able to capture Fort _____________ during the assault on Baltimore.KnoxMcHenryJacksonMeyer___________________ is the author of the Star-Spangled Banner.Francis Scott KeyAndrew JacksonDolley Madison Which of the following best explains the situation in which the Star-Spangled Banner was written?It was written after the Treaty of Ghent ended the War of 1812.It was written after the victory of Jackson in the Battle of New Orleans.It was written during the defeat of the British at Fort McHenry.It was written by War Hawks to help further their cause.The battle of ___________________ was fought after the peace treaty was signed.BaltimoreWashingtonNew OrleansThe War of 1812 was between ______________ and the United States. FranceEnglandSpainFollowing the War of 1812 the United States gained the respect of European nations. TrueFalseHELP FAST PLEASEEE You buy a basket of 24 strawberries. You eat them as you walk to the beach. It takes the same amount of time to walk each block. When you are halfway there, half of the berries are gone. After walking 3 more blocks, you still have 5 blocks to go. You reach the beach 28 minutes after you began. One-sixth of your strawberries are left. You walked blocks in 28 minutes. At this rate you walk 1 block in minute(s) second(s). Complete these sentences with the right form of the verbs in the past tense in Spanish. How does the language in the second passage contribute to its effect? A commuter plane can carry 50 people per trip. At least How many times does the plane have to fly in order to carry 25,000 people? Identify the variable and answer the question. Please give details on how to set up problem. Thanks -4|w-16|+9=39 solve for w The figure shows the reflex angle BOD measures 3,5y and AOB measures y. Find the measure of the non-felex DOB in degrees. Given that4x:3=11:5Calculate the value of x. Addison and some friends are going to the movies. At the theater, they sell a bag ofpopcorn for $5 and a drink for $4.25. How much would it cost if they bought 8 bagsof popcorn and 4 drinks? How much would it cost if they bought p bags of popcornand d drinks? jocelyn stood in the middle of a trampoline causing the springs around the edge to stretch. Her identical twin, Jennifer, who has the same mass, joined her in the center of the trampoline. is 5,12,14 a pythagorean triple how can i simplify this? the term for including a gain or loss in taxable income is: psilocybe mexicana and psilocybe cubensis are examples of 1. anticholinergics. 2. psychoactive mushrooms. 3. plants containing mescaline. 4. poisonous fungi. which of the following molecules is thought to have been absent from the primitive reducing atmosphere of early earth? decide which element probably has a melting point most and least similar to the melting point of rubidium. Giovanni can read 250 words per minute. If there are approximately 300 words on a page, about how many pages can he read in 2 hours?