(WILL MARK THE BRAINLIEST)
Ap. Ex 5. 4. 3 Dry Lab: the effects of antibiotics
pre-lab planning

1. Independent Variable. What is the independent variable? What are you deliberately choosing or changing?

2. Dependent Variable. What is being measured?

3. Lab set-up

4. Control. What is the experimental group being compared to?

5. Hypothesis. Use an "if. [independent variable]. Then. [dependent variable]. " format. State the cause and effect relationship between the independent and dependent variables. It must be testable.

6. Lab title. The effect of independent variable on dependent variable.

7. Experimental constants. Name at least six variables NOT altered during the experiment.

8. Sketch of experimental set-up with labels.

9. Write out the procedure. Be sure to include the answers the following questions in your description:
How many plates are needed? What samples will be taken? What is on each plate? "What antibiotic discs will be used? ​

Answers

Answer 1

The independent variable is the factor deliberately chosen or changed in the experiment.The dependent variable is what is being measured or observed. The lab set-up should be described. The experimental group is being compared to the control group.The hypothesis should state the cause and effect relationship between the independent and dependent variables. The lab title should reflect the effect of the independent variable on the dependent variable. Experimental constants are variables that are not altered during the experiment. A sketch of the experimental set-up with labels should be provided. The procedure should include the number of plates needed, the samples to be taken, and the contents of each plate, including the antibiotic discs to be used.

The independent variable is the factor that the experimenter deliberately chooses or changes. For example, it could be the concentration of antibiotics or the type of antibiotics used in the experiment.

The dependent variable is what is being measured or observed as a result of the changes made to the independent variable. In this case, it could be the growth or inhibition of bacterial colonies on the agar plates.

The lab set-up should be described, including the materials and equipment needed, such as petri dishes, agar medium, and incubation conditions.

The experimental group is the group or condition being compared to the control group, which does not receive the independent variable. For instance, the experimental group might be the plates with antibiotics, while the control group could be the plates without antibiotics.

The hypothesis should state a cause and effect relationship between the independent and dependent variables. For example, "If the concentration of antibiotics increases, then the growth of bacterial colonies will decrease."

The lab title should reflect the effect of the independent variable on the dependent variable, such as "The Effect of Antibiotic Concentration on Bacterial Growth."

Experimental constants are variables that remain unchanged throughout the experiment, such as temperature, incubation time, volume of agar, the source of bacteria, the type of agar, and the method of inoculation.

A sketch of the experimental set-up should be provided, illustrating the placement of agar plates, antibiotic discs, and any other relevant details.

The procedure should include the number of plates needed, the samples to be taken (such as swabbing surfaces for bacterial samples), the contents of each plate (agar and bacterial samples), and the specific antibiotic discs that will be used and their placement on the agar plates.

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Related Questions

In ____________ , a double-stranded RNA molecule separates into single strands. One of the strands prevents a complementary mRNA from being translated.

Answers

The answer is RNA interference

Which of the following describes the PHOTIC ZONE of the open ocean?

A. the shallowest part of the ocean where there is enough light to support plant life

B. the part of the ocean that CANNOT support photosynthesis

C. the darkest part of the ocean, where NO light can penetrate​

Answers

Photic Zone of the open ocean is the shallowest part of the ocean where there is enough light to support plant life.

Therefore, the correct answer is Option A.

What is Photic Zone?Photic zone forms the top layer found near the surface of the ocean.It is also called the sunlight layer as it allows sunlight to penetrate which allows the organisms present in this layer to photosynthesize.In oceans, the photic zone may be as deep as 200 meters.Because of the availability of sunlight, many life forms are present in this zone like turtles, sharks, jellyfish, corals, phytoplanktons, zooplanktons etc.Below the photic zone is present the Disphotic zone or twilight layer where only small amount of light penetrates.Further below is the darkness or aphotic zone where there is no light. This forms about 90% of the ocean.

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How does oxygen binding change the quaternary structure of hemoglobin?

Answers

Answer: Oxygen binding causes a change in the quaternary structure of hemoglobin where hemoglobin changes quaternary structure from the T (tense) state that has a low affinity of oxygen to the R (relaxed) state that has a higher affinity of oxygen.

Explanation:

The image below shows the distribution of members of a population. What type of distribution is shown?
A) Uniform
B) Clumped
C) Random
D) Irregular

Answers

The population distribution shown in the image is uniform.

What is uniform distribution?

A population is said to be uniformly distributed when members of the population are uniformly distributed over the total area available for the population.

In the image, individuals in the population are more or less at an equal distance from one another and cover the entire area available to the population.

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The rectus abdominis is a __________ muscle, while the rectus femoris is a __________ muscle.

Answers

The rectus abdominis is a Parallel muscle, while the rectus femoris is a bipennate muscle.

Rectus abdominis

The long muscle of the anterior abdominal wall is the rectus abdominis, most commonly referred to as the "abs muscle." It is readily apparent beneath the skin, forming the "six pack," in people with low body fat. It reaches all the way to the pubic bone from the rib cage. Together with the pyramidalis muscle, the rectus abdominis is a member of the anterior abdominal muscles. However, when considering the functional architecture, these two muscles together with the three lateral abdominal muscles—the external oblique, internal oblique, and transversus abdominis—make up the anterolateral abdominal wall. The rectus sheath, which is made up of the aponeuroses of the lateral abdominal muscles, surrounds and protects the rectus abdominis muscle. The linea semilunaris is the outside, most lateral line defining the rectus.

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As compared to the neanderthals, middle stone age fossil humans found in africa reflect more:______

Answers

As com[pared to the neanderthals, middle stone age fossil humans founs in Africa reflect more Similarities with homo erectus.

Neanderthals and modern human differentiate by the measurement of our brain-case and pelvic shape can reliably separate both. Three tiny bones of our middle ear , vital in hearing, can be readily distinguished both .

Modern human and Neanderthals  both shared a common ancestors roughly half a million year ago.They both are split an devolve in parallel- human in Africa , Neanderthals on Eurasian continent.Neanderthals are an extinct species of ancient humans. We are not evolved from neanderthals, they are our most recent relatives.

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What are the biggest advantages of natural gas as a fuel source?

Answers

Due to its cleaner combustion, natural gas is the most environmentally safe fossil fuel. Natural gas doesn't have as many toxic combustion byproducts as other fossil fuels.

Natural gas is adaptable. Starting and stopping a gas-fired power plant is substantially faster than one that burns coal. Due to its flexibility, it complements renewable energy sources like solar and wind, which are only usable when the sun is out and the wind is blowing.When burned to produce power, natural gas is the cleanest-burning hydrocarbon, releasing about half as much carbon dioxide (CO2) and only one-tenth as much air pollutants as coal. By switching to natural gas from coal, there is a significant opportunity to cut CO2 emissions and air pollution in the near future.Because Natural gas is now so widely accessible through LNG, it can assist nations in coping with short-term supply interruptions.

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Which one of the following is an advantage of having production facilities to manufacture athletic footwear in all four geographic regions

Answers

Increased ability to lower expenditures for shipping/freight costs from the company's production operations to distribution centers in the various regions is the advantage of having production facilities to manufacture athletic footwear in all four geographic regions.

What is Manufacturing?

This is the process in which goods are created and involves the processing of raw materials into finished products through the use of labor and other forms of technology thereby making it easier.

Having production facilities in the four geographic regions means that it needs to ship fewer pairs of footwear from production facilities in one region to distribution centers in a different region from time to time. This is because running out of stock in one location will require appropriate distribution of the footwear to those areas.

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thick mucous gland secretions, elevated sweat electrolytes, meconium ileus, and diffculty maintaining and gaining weight are associated with which autosomal recessive disorder

Answers

thick mucous gland secretions, elevated sweat electrolytes, meconium ileus, and difficulty maintaining and gaining weight are associated with which autosomal recessive disorder Cystic fibrosis.

What is cystic fibrosis?The lungs, digestive system, and other body organs are severely harmed by cystic fibrosis (CF), a genetic condition. The cells that make mucus, perspiration, and digestive fluids are impacted by cystic fibrosis. Normally, these produced fluids are slick and thin.It is brought on by a gene defect that interferes with how salt and water enter and exit cells. This can lead to a build-up of thick, sticky mucus in the body's tubes and passages, particularly the lungs and digestive system, along with recurrent infections.As a result of cystic fibrosis, the lungs, pancreas, and intestines get clogged with thick mucus.

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What type of organism harvests energy to build organic molecules that support animals, fungi, and all the other levels of a food web

Answers

Primary producer type of organism harvests energy to build organic molecules that support animals, fungi, and all the other levels of a food web.

What is primary producer?The only organisms that can harvest energy from sunlight or chemicals and use it to create food are plants, some algae, and specific bacteria.With some plants releasing seeds that only germinate after a fierce fire, the chaparral vegetation is predominately made up of shrubs and is adapted to recurrent fires.Autotrophs include algae, plants, certain bacteria, and fungi. Autotrophs are the food chain's producers because they make their own energy and nutrients. Like the majority of autotrophs, kelp produces energy through a process known as photosynthesis.All fungi are heterotrophic, which means they draw their energy from other living things.

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Traditionally, primate characteristics have been explained as the result of adaptation to _____ environments.

Answers

Traditionally, primate characteristics have been explained as the result of adaptation to arboreal environments.

What are primate adaptations?

Because they are all descended from creatures that lived in trees, all primate species have adaptations for climbing. This arboreal heritage of primates has led to adaptations including, but not limited to: 1) a rotating shoulder joint; 2) a big toe that is widely separated from the other toes and thumbs, which are widely separated from fingers (except humans), which allow for grasping branches; and 3) stereoscopic vision, which consists of two overlapping fields of vision from the eyes and allows for the perception of depth and gauging distance.

Other traits of primates include larger brains than those of most other animals (greater brain/body ratio than similar-sized non-primates), claws that have evolved into flattened nails, the tendency to carry the body upright, and just one kid on average per pregnancy.

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Corticotropin-releasing hormone (CRH)-immunoreactive (IR) axon varicosities target a subset of growth hormone-releasing hormone (GHRH)-IR neurons in the human hypothalamus

Answers

It is well accepted that one of the key causes stifling growth is stress.

Previous research has shown that the catecholaminergic and neuropeptide Y (NPY) systems, which are involved in the activation of stress-related neural circuits, regulate growth hormone (GH) release through altering GHRH production.

Catecholaminergic and NPY-immunoreactive (IR) axon varicosities do, in fact, abut the surface of GHRH neurons, creating connections. These juxtapositions appear to be actual synapses and might be the morphological foundation of stress's influence on development.

Aside from catecholamines and NPY, there is a large body of evidence suggesting corticotropin-releasing hormone (CRH), a significant stress hormone, regulates GH secretion.

The architecture of these CRH-GHRH juxtapositions shows that, among other neurotransmitters/neuromodulators, CRH regulates development via direct synaptic processes via influencing hypothalamic GHRH production.

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Force in the liquid are the forces of attraction between the molecules within the liquid.

Answers

The surface tension of a liquid results from an imbalance of intermolecular attractive forces, the cohesive forces between molecules: A molecule in the bulk liquid experiences cohesive forces with other molecules in all directions. A molecule at the surface of a liquid experiences only net inward cohesive forces.

Miller is giving a lecture on the theories of aging. She explains that genetics, diet, lifestyle, activity, and exposure to pollutants all play a role in the aging process, and suggests that overall processing speed declines in the peripheral nervous system affecting your brain's ability to communicate with your muscles and organs. Dr Miller is trying to explain the ________.

Answers

According to the theories of aging, Dr Miller is trying to explain the peripheral slowing hypothesis.

What is the peripheral slowing hypothesis?

It states that people age because their nervous system's processing accumulates damage from the wear and tear of everyday life, and erodes the normal biochemical activities that occur in cells, tissues, and organs.

The nerves of the brain wear out naturally, directly affecting the mitochondria that provide energy for all cellular activities.

Therefore, we can conclude that Dr Miller is trying to explain the peripheral slowing hypothesis suggests that overall processing speed declines in the peripheral nervous system.

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Neural impulses are propogated down the axon by the movement of ions along the cell membrane. Specifically, ___________________ moves in and ________________ moves out of the cell.

Answers

The nerve impulse through the neuron is also called an action potential. The sodium ions move into the cell and the potassium ions leave the cell at action potential.

Conduction of nerve impulses:

The transmission of signals from one end of the neuron to another neuron is called nerve impulse conduction. The positive charges are inside the cell and the negative on the outside. There are three phases of an electric impulse: depolarization, overshoot, and repolarisation. The resting potential of the membrane is -70mV. During the depolarization phase, the membrane is depolarized and the sodium ions move into the cell and the potassium ions move outside the cell. The impulse is transmitted from the axon of the neuron with the release of neurotransmitters from the vesicles. These vesicles fuse with the plasma membrane and release the neurotransmitters into the synaptic cleft which then bind to the receptors on the dendrites of another neuron leading to the conduction of nerve impulses.

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Newborns are born with innate abilities to aid in their survival. _____ is an example of an innate ability.

Answers

Newborns are born with innate abilities to aid in their survival. Crying is an example of an innate ability.

Innate can be described as something that is in you from the time of birth and you don't have to acquire it in one lifetime. It is like an inbuilt feature of newborns.

Newborns are usually referred from birth to 2 months and they are very delicate in this period as they are exposed to a lot of external environment components and stimuli along with the human reactions towards them and their body and mind slowly learn to respond to them accordingly.

for example, we make weird faces in front of kinds which make them happy, sometimes even a normal activity makes them laugh aloud, walking, swinging, a quick round makes them feel good. Similarly, sometimes they may not like these activities and cry or do not even react to some other.

These reactions by newborns are inbuilt and we don't teach them these. They understand the things happening in their surroundings and respond to them according to their comfort.

Newborns don't have to learn to laugh and cry thus, these reactions are considered innate which is a part of our biological system that is done by the child on his own.

A baby cries immediately after birth. We don't have to teach him to cry that is why crying is considered the first language of babies.

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The ______ collects the urine produced by a single kidney lobe

Answers

Answer:

minor calyx

Explanation:

Which statement best describes how Nixon’s resignation speech and the Washington Post article on the resignation address the same subject in different ways?

A. In the speech, President Nixon describes the views of his family, friends, and staff, but the article does not include any information about those people’s feelings or beliefs.

B. While the article focuses only on the immediate events, the speech presents Nixon’s resignation within a broader context of world history.

C. The speech is intended to present President Nixon in the best possible way, while the article offers a neutral presentation of President Nixon.

D. The article offers a specific year-by-year list of President Nixon’s accomplishments during his presidency, while the speech focuses solely on what happened in his last year in office.

Answers

The speech is intended to present President Nixon in the best possible way, while the article offers a neutral presentation of President Nixon. Option C

Why did Nixon resign?

Nixon was forced to resign because he was indicted by  house committee that accused him of obstructing the course of justice and holding the congress in contempt.

The statement best describes how Nixon’s resignation speech and the Washington Post article on the resignation address the same subject in different ways is; "The speech is intended to present President Nixon in the best possible way, while the article offers a neutral presentation of President Nixon." Option C

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Synaptic potentials that do not depolarize membrane potential enough to reach threshold are known as ______.

Answers

Synaptic potentials that do not depolarize membrane potential enough to reach threshold are known as hyperpolarization.

Electrical signals that travel from one region of the nervous system to another define it. The signal must move along an axon, regardless of how close together or how far apart those locations are. The carefully regulated ion distribution across the membrane forms the foundation of the electrical signal. In a resting state, the membrane has stable Na+ and K+ concentrations on each side.

A stimulus will cause the membrane to depolarize, and voltage-gated channels will cause the membrane to depolarize even more before repolarizing. Action potentials finish with a slight overshoot of hyperpolarization.

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Gestures and body postures that are an important part of nonverbal communication are:_______

Answers

Gestures and body postures that are an important part of nonverbal communication are: Facial expressions, gestures, and movements of the body.

Nonverbal communication is the exchange of messages or signals through nonverbal cues including body language, gestures, and nonverbal cues like eye contact and facial expressions. It makes use of kinesics, distance, physical environments/appearance, voice, and touch in addition to social cues.The exchange of information through body language, gestures, facial emotions, created space, and other nonverbal cues is known as nonverbal communication. For instance, smiling at someone when you first meet them communicates warmth, acceptance, and openness.Whether they are aware of it or not, everyone uses nonverbal communication all the time.Face expressions, gestures, paralinguistics including volume and tone of voice, body language, proxemics or personal space, eye contact, haptics (touch), appearance, and artifacts are all examples of nonverbal communication.

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What is the process of turning water into ice known as?

Answers

The process of turning water into ice is known as Condensation.

Condensation converts a substance from a gaseous state to a liquid form, frequently with a reduction in volume. It happens when a gas or vapour comes into touch with a surface that radiates heat, causing the gas or vapour to cool and solidify. Ice is the solidified version of water, which is a liquid. Condensation is the process by which water changes from the liquid phase (which is water) to the solid phase (which is ice).

Hence, The process of turning water into ice is known as Condensation.

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Glycolysis requires an initial energy investment, which allows for the production of relatively larger quantities of atp during?

Answers

Glycolysis requires an initial energy investment, which allows for the production of relatively larger quantities of ATP during Substrate-level phosphorylation

The process of glycolysis starts with a single glucose molecule, which has a six-carbon ring structure, and finishes with two molecules of pyruvate, a three-carbon sugar. Two separate phases of glycolysis exist. Energy is utilized to alter the first step of the glycolysis process so that the six-carbon sugar molecule can divide equally into two three-carbon pyruvate molecules. ATP and nicotinamide-adenine dinucleotide (NADH) are created during the second phase of glycolysis.Substrate-level phosphorylation is the direct transfer of a high-energy phosphate group from a phosphorylated intermediate metabolic molecule in an exergonic catabolic pathway, which results in the generation of ATP from ADP.

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PLS HELP I CANT FAIL THIS

The chart shows four stages of demographic transition. Which situation best
describes the industrial stage (Stage 3)?
Rate per 1000
40
30
20
10
0
Stage 1
Preindustrial
stage
-
Stage 2
Transitional
stage
Total population
-
Stage 3
Industrial
stage
Death rate
A. High and stable total population
B. High birthrate and death rate
OC. Exponentially increasing death rate
D. Sharply dropping birthrate

Answers

The chart shows four stages of demographic transition, and the situation that best explains the industrial stage (Stage 3) is the sharply dropping birth rate that is in Option D. Option D is correct regarding the industrial stage.

What is the reason for the population increase?

The population increase or decrease depends upon the resources that are available for population growth, such as food, a place to live, etc., and if all these are present in abundance, then an increase in population growth is seen. Because there were not all of the resources available at the early time, such as proper food, sanitation, a place to live, and so on, population growth was slow. However, due to the development of the industrial sectors and improved living conditions, population growth is seen with a decrease in the death rate.

Hence, the situation that best explains the industrial stage (Stage 3) is the sharply dropping birth rate in Option D. Option D is correct regarding the industrial stage.

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The _______________ finned fish have strong fleshy limbs supported by strong bones that are attached to the body.

Answers

Answer:

Lobe finned fish

Explanation:

What is the second greatest color of light chlorophyll A absorbs?

Answers

Answer: Chlorophyll a absorbs violet and orange light the most. Chlorophyll b absorbs mostly blue and yellow light.

Explanation: They both also absorb light of other wavelengths with less intensity.

. Imagine that you are a doctor in a maternity ward. During your last shift, 20 babies were born. 10 had blue eyes, and 10 had brown eyes. Remember genotypes are the two alleles given for each trait, written with a letter. For this activity B

Answers

The potential genotypes for newborns with brown eyes are BB and Bb, whereas the potential genotype for newborns with blue eyes is bb.

According to the information provided above, b = allele for blue eyes is recessive while B = allele for brown eyes is dominant. A recessive allele is one that cannot express itself in the presence of a dominant allele, while a dominant allele conceals the effect of a recessive allele. A dominant allele expresses itself in the presence of a recessive allele. While a dominant allele can express itself in both a homozygous and heterozygous state, a recessive allele can only do so. Therefore, newborns with brown eyes will have two genotype options: BB and Bb, whereas those with blue eyes will only have one.

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Which structure is highlighted?
a. anterior cavity
b. pupil
c. posterior cavity
d. iris lens

Answers

Option (c) Posterior cavity is the highlighted structure.

The area behind the lens that extends to the retina's location on the back side of the internal eyeball is known as the posterior cavity. The vitreous humor, a more viscous fluid, fills the posterior cavity.

The posterior chamber is a crucial component in the creation and movement of aqueous humor.

The posterior chamber receives the aqueous humor secreted by the ciliary body's epithelium, which then flows through the pupil and into the anterior chamber.

The anterior hyaloid membrane and all of the optical components behind it, including the vitreous humor, retina, choroid, and optic nerve, are located in the posterior segment, also known as the posterior cavity, which makes up the back two-thirds of the eye.

Hence, Posterior cavity is the highlighted structure.

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Carbon can be found in which
of the following substances?
A. salt
B. water
C. helium
D. carbohydrates

Answers

Answer:

D, Carbohydrates

Explanation:

(C⋅H2O)n is the chemical compound of carbohydrates. The carbon is bonded with water. Carbohydrates literally means: Carbon hydrate, hence Carbon(C) and water(H2O).

Peptidoglycan in the bacterial cell envelope is an ideal target for antibiotics because ______.

Answers

Since antibiotics prevent bacterial growth and replication by interfering with the bacterial cell wall, peptidoglycan in the bacterial cell envelope makes a perfect target for them.

One of the antibiotics that attack the bacterial cell wall in order to work is penicillin. The drugs specifically prevent the bacteria from forming peptidoglycan, a substance that provides their cell walls the tenacity they require to survive inside of humans. Simply put, many antibiotics, including vancomycin, which like beta-lactam antibiotics targets the peptidoglycan in the cell wall, are ineffective against Gram-negative bacteria because they do not possess the molecular characteristics required to effectively use these pathways to breach the outer membrane.

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which of the following correctly states the proximal and distal attachments of the sternocleidomastoid

Answers

The following which correctly states the proximal and distal attachments of the sternocleidomastoid include:

Sternal manubrium and medial one-third of clavicleMastoid process and lateral half of superior nuchal line.

What is Sternocleidomastoid?

This is also known as musculus sternocleidomastoideus and is the superficial muscle present in the neck region. This thick and narrow muscle is also solely responsible for the division of the neck into what is referred to as anterior and posterior triangles.

The proximal and distal attachment of this muscle can be seen in the sternal manubrium and mastoid process and are responsible for certain actions such as rotation of the head etc.

This is therefore the reason why the aforelisted was chosen as the most appropriate choice.

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true/false. as a physical barrier, the flushing of sweat glands helps remove microbes as a part of the first line of defense In which circuit would ammeter A shows the greatest current? two gases (a and b) are at the same temperature. the pressure of gas a is 129000 pa and its volume 750 cm3, while the pressure of gas b is 104000 pa and its volume 534 cm3. geometric summations and their variations often occur because of the nature of recursion. what is a simple expression for the sum i=xn1 i=0 2 i ? How are Smart Pointer functions move(), reset(), and release() different from each other with code example? In the United States, currency includes? A) gold, silver, and paper money. B) checking and savings account deposits. paper money and coins in circulation D) traveler's checks. show that the following number is rational by writing it as a ratio of two integers. 17 3 Select the correct answer from each drop-down menu. The South favored the spread of slavery because its mining wanted skilled workers and opposed slavery. economy depended on enslaved labor. On the other hand, the Reset Next South West North blood osmolarity falls when na levels in the blood decline. hint: na is the major solute in blood plasma.T/F If a fair coin is tossed 7 times, what is the probability, rounded to the nearest thousandth, of getting at least 4 heads? What is the correct cell notation for Cd2+(aq) + Zn(s) ---> Cd(s) + Zn2+(aq) Under certain conditions, H_2O_2 can act as an oxidizing agent, under other conditions, as a reducing agent. What is the best theoretical explanation for this? (A) H_2O_2 is good bleaching agent. (B) Peroxides are stronger oxidizing agents than are oxides. (C) H_2O_2 will decolorize KMnO_4 solutions in the presence of an acid and will turn black lead sulfide to white compound. (D) An atom within a compound can sometimes attain a more stable electronic structure either by gaining or by losing electrons. Find the derivative of the function at Po in the direction of A. f(x,y) = 5xy + 3y2, Po(-9,1), A=-Si-j (Type an exact answer, using radicals as needed.) Sloane drives into Tire Service and asks to have a tire replaced on her car. After the service replaces the tire, but before Sloane pays for it, any contract between them isa. executed.b. executory.c. void.d. unenforceable. A particle has a rest mass of 6.6410^-27 kg and a momentum of 2.1010^-18 kg m/s.(a) What is the total energy (kinetic plus rest energy) of the particle?________ J(b) What is the kinetic energy of the particle?________ J(c) What is the ratio of the kinetic energy to the rest energy of the particle?K/Erest = ___________ Consider two parallel infinite vertical planes with fixed surface charge density to, placed a distance d apart in a vacuum. The positively charged plane is pierced by a circular opening of radius R. We choose a coordinate system such that the negatively charged plane is the r = -d plane; the positively charged plane is the r = 0 plane; and the circular opening is centered on x=y= 2 = 0. Calculate the electric field at points on the positive x-axis (x = xo > 0, y = 2 = 0). Lincoln's early actions as president indicated that he intended to:A) respect the traditions and dogmas of the past.B) act only with the sanction of Congress.C) rely heavily on his cabinet members' advice.D) take the advice of his wife seriously.E) take responsibility for running his own administration. a critical design decision that managers must always make inside supply chains is whether to: Given f(x) = {1, < x< 00, 0 < x< which has a period of 2 , show that theFourier series for f(x) on the interval - < x < is:1/2 2/ [sinx + 1/3 sin3x +1/5 sin5x + ...](Remember: f(x) = a0/2 + [cos x+ sin x]) Evaluate the Integral integral of ( square root of x^2-81)/(x^3) with respect to x