the use-dilution test is useful in evaluating the effectiveness of both bactericidal agents and bacteriostatic agents. the use-dilution test is useful in evaluating the effectiveness of both bactericidal agents and bacteriostatic agents. true false

Answers

Answer 1

True The use-dilution test is a technique for figuring out how well an antimicrobial agent works against a certain bacteria.

In order to conduct the test, an antimicrobial agent is serially diluted in a broth culture medium, and each dilution is then supplemented with a known quantity of bacteria. The amount of surviving bacteria is then counted after the tubes have been incubated. The minimal bactericidal concentration (MBC) is the lowest concentration of the antimicrobial agent that kills 99.9% of the bacteria.

The use-dilution test can be used to assess agents that are both bactericidal and bacteriostatic. At a concentration equal to or greater than the MBC, bactericidal drugs will eradicate all of the bacteria in the tubes. Despite not killing the germs, bacteriostatic agents will stop their growth.

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Related Questions

list two examples of biotechnology that involve recombinant dna technology

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Recombinant DNA technology is a technique that involves joining DNA molecules from two different sources, and is commonly used in biotechnology.

Two examples of biotechnology that involve recombinant DNA technology are:1. Genetic engineering of crops:In agriculture, recombinant DNA technology has been used to create genetically modified crops that are resistant to pests and diseases, as well as to produce higher yields. For example, scientists have used recombinant DNA technology to insert genes into crops that make them resistant to herbicides or to produce higher levels of vitamin A.2. Production of pharmaceuticals:Recombinant DNA technology is also used to produce pharmaceuticals, such as insulin. Scientists can use recombinant DNA technology to produce human insulin in bacteria, which can then be harvested and used to treat diabetes. Other pharmaceuticals produced using recombinant DNA technology include vaccines, growth hormone, and clotting factors.

Genetic engineering of crops:In agriculture, recombinant DNA technology has been used to create genetically modified crops that are resistant to pests and diseases, as well as to produce higher yields.

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explain the inheritance of blood types (ABO)

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The inheritance of the blood types (ABO) is based on properties of the red blood cells.

What is ABO blood system?

The ABO blood group system is simply the classification of the human blood based on the inherited properties of red blood cells known as the erythrocytes.

It is known by the presence or absence of the blood antigens A and B, and O which are found on the surface of the red cells.

Persons could have either the type A, type B, type O, or type AB blood.

Therefore, the inheritance of the blood types is based on the properties of the red cells.

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What solution is 2(x + 4) = 4x + 3 - 2x + 5

Answers

Answer:the answer is 8

Explanation:

2(x+4)= 8

4x+3-2x+5 also = 8

If the controlling variable is a verbal stimulus, does have point-to-point correspondence, but does not have formal similarity, then the verbal relation is a codic. True or false?

Answers

True. Codic relations are verbal relations between two items in which the relationship is not based on physical similarity or resemblance, but instead on a shared mental association.

For example, when someone asks why the sky is blue, a codic relation would be used to answer "the Earth's atmosphere scatters short-wavelength light, making the sky appear blue." This type of relation is unique in that it does not rely on physical similarity, but instead on a shared concept or memory. In terms of a controlling variable, a codic relation could be used when the researcher wants to test how participants respond to different stimuli, such as words or phrases, which are not formally similar in terms of pronunciation or spelling.

For example, a researcher might present participants with the phrases "forget me not" and "never forget me" and measure how they respond to each phrase. In this case, the codic relation between the two phrases has point-to-point correspondence, but is not based on formal similarity.

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nociceptors group of answer choices are rare in joint capsules. have large receptive fields. are widely distributed in all tissues. increase in sensitivity in the presence of a constant stimulus. carry fast pain sensations through unmyelinated fibers.

Answers

The correct answer is that nociceptors has have large receptive fields.

All pain-sensitive neurons have rather broad receptive fields, especially at the thalamic and cortical levels, indicating that the detection of pain is more significant than its exact localisation.

Transmission of harmful information through the A delta and C fibres. A delta fibres (group III fibres) have a diameter of 2 to 5 mm, are myelinated, have a high conduction velocity of 5 to 40 m/s, and primarily transmit information from nociceptors that are mechanically sensitive or mechanothermally focused. Small receptive fields characterise them.

The majority of nociceptors react to unpleasant chemical stimuli, noxious thermal stimuli (hot or extreme cold), and noxious mechanical stimuli (painful pressure, squeezing, or cutting the tissue).

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list three classes of substances normally found dissolved in plasma

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Three classes of substances normally found dissolved in plasma are:

Electrolytes: These are ions such as sodium, potassium, calcium, magnesium, chloride, and bicarbonate. They play essential roles in maintaining fluid balance, nerve conduction, muscle contraction, and pH regulation.

Plasma, the liquid component of blood, contains various substances dissolved in it. One class of substances found in plasma is electrolytes. Electrolytes are ions that carry an electric charge and are crucial for maintaining the body's physiological functions.

Sodium (Na+) is the primary extracellular ion and plays a vital role in regulating fluid balance and osmotic pressure. Potassium (K+) is the primary intracellular ion and is essential for maintaining cell membrane potential and muscle contractions, including heart rhythm. Calcium (Ca2+) is involved in muscle contractions, blood clotting, and bone health. Magnesium (Mg2+) is necessary for enzymatic reactions, nerve function, and muscle relaxation.

Chloride (Cl-) is the major extracellular anion and works in tandem with sodium to maintain electrical neutrality and osmotic pressure. Bicarbonate (HCO3-) is a critical component of the bicarbonate buffer system, which helps regulate blood pH.

Imbalances in electrolyte concentrations can have significant health consequences. For example, low sodium levels (hyponatremia) can lead to confusion and seizures, while high levels (hypernatremia) can cause excessive thirst and neurological symptoms. Similarly, imbalances in potassium, calcium, magnesium, chloride, or bicarbonate levels can disrupt normal cellular function and lead to various disorders.

Overall, the presence and balance of electrolytes in plasma are essential for maintaining proper physiological function and ensuring the overall health and well-being of an individual.

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Why do cells continue to divide in adult organisms?

Answers

Answer:

In addition some cells divide continuously throughout life to replace cells that have a high rate of turnover in adult animals Cell proliferation is thus carefully balanced with cell death to maintain a constant number of cells in adult tissues and organs

Explanation:

The thylakoid membrane contains a protein called atp synthase. As hydrogen ions pass through the protein, adp and a phosphate group are combined to form atp. What is the direct energy source, if any, for the movement of hydrogen ions and the formation of atp? a. The energy source is the high-energy electrons that accompany the hydrogen ions. B. The energy source is the concentration difference of hydrogen ions across the membrane. C. The energy source is a set of atp molecules that gather inside the thylakoid. D. There is no energy source; the process occurs without an energy input.

Answers

The energy source is the concentration difference of hydrogen ions across the membrane.

The photochemical and electron transport reactions of oxygenic photosynthesis occur at the thylakoid membrane. The lipid composition of the thylakoid membrane is highly conserved among oxygenic photosynthetic organisms, with two galactolipids, one sulfolipid, and one phospholipid.

The primary functions of thylakoids are to trap light energy and convert it into chemical energy forms such as ATP and NADPH. Water is oxidized and oxygen is released during this process. Inside chloroplasts and cyanobacteria, thylakoids are membrane-bound compartments. They are the site of photosynthesis's light-dependent reactions. Both stages of photosynthesis involve the chloroplast. The light reactions occur in the thylakoid.

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A neuron in the aorta detects oxygen content in the blood and relays this information to the brain. this neuron is an __________ fiber in the __________ nervous system.

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"A neuron in the aorta detects oxygen content in the blood and relays this information to the brain. This neuron is an afferent fiber in the peripheral nervous system."

A branch of the vagus nerve is the aortic nerve. It provides peripheral baroreceptors and chemoreceptors located in the aortic arch with autonomic afferent nerve fibers. "The tenth cranial nerve is the vagus nerve." Except for the first and the second cranial nerve which is the part of the central nervous system the rest of the cranial nerves are a part of the peripheral nervous system.

Since this nerve fiber detects the oxygen content in the blood and relays this information to the brain it serves a sensory function. These nerves are known as the afferent nerves that transmit the impulse towards the information processing center.

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A high relative humidity and sunshine hinder heat loss from the body by their adverse effects on the body, respectively, as:

Answers

The correct option (C)   decreased evaporation and increased radiation.

Why does relative humidity climb the most just before dawn?

The ability of the air to hold water vapor increases with temperature. As a result, relative humidity rises as the temperature rises and reduces as it approaches the dew point. Around daybreak, when the nighttime low temperature is generally quite close to the dew point, the relative humidity is typically at its peak.

How does a high relative humidity affect things?

The "Heat Index" is the name given to this combined impact. The heat index increases with increasing air temperature and/or relative humidity, making the outside air seem hotter to our bodies.

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A high relative humidity and sunshine hinder heat loss from the body by their adverse effects on the body, respectively, as:

A. increased condensation and radiation

B. increased convection and radiation

C. decreased evaporation and increased radiation

D. decreased condensation and decreased radiation

E. increased evaporation and increased convection

what is pre. existing cell.

Answers

Answer:

hey, here is your answer mate..!

Explanation:

All known living things are made up of one or more cells. All living cells arise from pre-existing cells by division. The cell is the fundamental unit of structure and function in all living organisms.

hope it helps mark as brainlist please

Answer:

The third part of the cell theory definition states that all cells come from preexisting cells. This means that cells don't just appear out of thin air (known as “spontaneous generation”). New cells are always made from current cells.

Carbon dioxide is least soluble in ocean water
A .None of these answers are correct.
B . in the Arctic Ocean.
C .in the North Atlantic Ocean.
D . near the South Pole.
E . at the equator.

Answers

Answer:

it's either be or see because it's more soluble with water the sense the Arctic Ocean is you know near the Arctic which would be like more North Pole and it be really cold and Frozen it's more contact with just normal water so I'm pretty sure the North Atlantic Ocean so c

NOVA: What Darwin Never Knew Video Questions 1. What is meant by the diversity of life" and how does that relate to evolution? 2. Describe Darwin as a young man. What experiences shaped him into a scientist? 3. Describe Darwin's experiences on the voyage of the HMS Beagle.

Answers

The diversity of life refers to the vast array of different organisms that exist on Earth, from the smallest bacteria to the largest whales. This diversity is a central concept in evolution, as it is the result of millions of years of genetic change and natural selection.

As organisms adapt to their environments, they develop new traits and characteristics that help them survive and reproduce, leading to the incredible diversity of life we see today.

2. Darwin was a curious and observant young man, who was fascinated by the natural world from a young age. He grew up in a wealthy family in England, and spent much of his youth exploring the countryside and collecting specimens of plants and animals. He was also deeply interested in science and natural history, and spent many hours reading and studying scientific texts.

3. Darwin's experiences on the voyage of the HMS Beagle were a key turning point in his life, and ultimately led him to develop his theory of evolution. During the five-year voyage, Darwin had the opportunity to explore many different parts of the world, from the tropical rainforests of South America to the desolate shores of Patagonia. He collected thousands of specimens of plants and animals, and made detailed observations about their behavior and ecology. These experiences helped him to develop his understanding of the natural world, and ultimately led him to the revolutionary insights that would shape modern biology.

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DNA is a macromolecule (a nucleic acid). DNA codes for all of your traits (characteristics). It’s what makes you, you. A human cheek cell has so much DNA in it that if it was stretched out it would be about 6 feet long. If it’s so long, how can it fit in a microscopic cell do you think?

Answers

Answer:

The DNA is not 1 dimensional, all of the DNA fits inside of a 3-d microscopic  cell allowing it to have 3 squared amount the times of space.

Explanation:

a straight line will have more length than 3-d sphere because the sphere has to account for width and depth as well.

Cardiorespiratory endurance measures the fitness and efficiency of which body system?.

Answers

Cardiorespiratory endurance refers to how well the circulatory and respiratory systems of the human body can supply oxygen and nutrients to the body itself during prolonged physical activity.

The respiratory system supplies oxygen to the blood and eliminates carbon dioxide.Meanwhile, the chemicals and nutrients are transported to and from the body tissues through the circulatory system.By increasing our physical activity, we will strengthen our heart muscle, circulatory system, and lungs. This will give us a better feeling, help us to move more effortlessly, and allow us to live a longer life.

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A patient presents with memory loss and partial paralysis. There is a syndrome with these symptoms. Metabolically speaking, what is the cause of this? The malfunctioning enzyme has lost affinity for a cofactor. The malfunctioning enzyme has lost affinity for its substrate. The malfunctioning enzyme is absent from the patient. The malfunctioning enzyme has gained affinity for its substrate

Answers

The cause of memory loss and partial paralysis is likely due to a syndrome. Metabolically speaking, the cause is likely that the malfunctioning enzyme has lost affinity for a cofactor. The correct answer is option a.

This can result in a decrease in the enzyme's activity, which can have detrimental effects on various metabolic pathways.

The other options presented in the question are not likely to be the cause of the syndrome.

If the enzyme has lost affinity for its substrate, it may have a decreased ability to convert the substrate to the product. However, this would not necessarily lead to the given symptoms.

If the enzyme is absent from the patient, it would result in a complete loss of activity for the enzyme, which may have more severe effects than the given symptoms. If the enzyme has gained affinity for its substrate, it may result in an increase in activity.

However, this is unlikely to be the cause of the given symptoms.

The correct answer is option a.

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Complete question

A patient presents with memory loss and partial paralysis. There is a syndrome with these symptoms. Metabolically speaking, what is the cause of this?

a. The malfunctioning enzyme has lost affinity for a cofactor.

b. The malfunctioning enzyme has lost affinity for its substrate.

c. The malfunctioning enzyme is absent from the patient.

d. The malfunctioning enzyme has gained affinity for its substrate

The oxygen is then combined with complex carbon-containing molecules in the ____ in a chemical reaction.

1) air they breathe

2) food they eat

3) water they drink

Answers

Answer: 1

Explanation: We are taking oxygen out of the air to breathe carbon is oxygen!

Which substance would have the highest viscosity?


a.
Liquid water


b.
Maple syrup


c.
Olive oil


d.
Solid rock

Answers

Answer:

It would be b - Maple Sryrup.

Explanation:

Viscosity is essentially the thickness and transparency of a liquid. It cannot be rock due to the fact that a rock is a solid object and not a liquid. The other answers are eliminated via the process of elimination.

the answer would be B, maple syrup

How can we determine the age of fossils?

Answers

In order to estimate the age of fossils, two methods must be used: relative dating and objective dating.

As a rule, fossils themselves cannot be directly dated because most of them have little or no organic material left, and carbon-14 dating is only useful up to approximately 35000–50000 years in age. Those that are more ancient than that must be dated using the rock strata in which they were discovered.

For the most part, scientists have been studying rock strata for at than 300 years, and they have been able to determine with great precision the sequence in which the rock layers were formed. Rocks are classified into eras, with the oldest being the oldest and the youngest being the youngest:

PreCambrian, Cambrian, Ordovician, Silurian, Devonian, Carboniferous, Permian, Triassic, Jurassic, Cretaceous, Paleogene, and Neogene are the geologic periods represented by the following names: PreCambrian, Cambrian, Ordovician, Silurian, Devonian, Carboniferous, Permian, and Neogene. Unless there has been an obvious disturbance, rocks are always found in this sequence all across the planet, regardless of where they are found. A fossil discovered within a particular rock layer can then be assigned to one of these age ranges, allowing scientists to locate the fossil within the appropriate age bracket.

There is only one flaw in this approach: knowing one layer is older than the next does not provide us with an objective date for the rock layer in question. Because of everything we've learned so far, we can only conclude that a cretaceous fossil is younger than a Jurassic one.

Radiometric dating is the method that scientists use to establish an objective date. Sedimentary rock, which contains the vast majority of fossils, cannot be directly dated, whereas igneous rock, on the other hand, can be. By analyzing the quantity of radioactive decay in specific elements since the igneous rock crystallized, it is possible to determine the age of the rock to a pretty exact level of accuracy. 2.4 million-year-old igneous layer found on top of sedimentary rock indicates that the sedimentary rock was laid down before the 2.4 million-year-old volcanic layer appeared. You can identify that the sediment was set down between 3.2 and 2.4 million years ago by the presence of a second igneous layer below it that has a 3.2 million-year age. A fossil found inside that stratum must be older than 2.4 million years and younger than 3.2 million years in order to be considered ancient.

Among the most widely utilized elements for radiometric dating of rocks are argon, uranium, potassium, and rubidium since their half lives are quite long compared to those of other radioactive elements. Carbon is not utilized for dating rocks because its half-life is too short, making it ineffective.

how does the weather caused by a warm front compare to the weather caused by a cold frount?

Answers

Warm fronts and cold fronts are two different types of weather systems that can bring about distinct weather patterns. Warm fronts occur when a mass of warm air moves into an area of colder air, while cold fronts occur when a mass of cold air moves into an area of warmer air.

The weather associated with a warm front typically includes gradual temperature increases, rising humidity, and an increase in cloud cover. Precipitation associated with a warm front is generally less intense and longer-lasting than that associated with a cold front, and may include light rain, drizzle, or snow.

In contrast, the weather associated with a cold front typically includes a rapid temperature drop, strong winds, and thunderstorms with heavy rainfall or snowfall. Cold fronts generally move more quickly than warm fronts and can bring about sudden changes in weather conditions.

Overall, while both warm fronts and cold fronts can bring about changes in weather conditions, the specific patterns of precipitation, temperature, and wind associated with each type of front can differ significantly.

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what two element where found in the sun

Answers

Answer:

Hydrogen and Helium

Explanation:

The sun is composed of layers made up almost entirely of hydrogen and helium. These gases carry out different functions in each layer, and the sun's layers are measured by their percentage of the sun's total radius.

Answer:

Hydrogen and Helium!!

Explanation:

lol

You started a transfusion of packed red blood cells about 1 hour ago. Your patient has suddenly developed shaking chills, muscle stiffness, and a temperature of 101.4° F (38.6° C). He appears flushed and reports a headache and "nervousness." Your patient has most likely developed which type of transfusion reaction?

Answers

The patient is most likely experiencing an acute hemolytic transfusion reaction.

An acute hemolytic transfusion reaction is a serious and potentially life-threatening immune response that occurs when there is a mismatch between the recipient's blood and the transfused blood. It is characterized by the destruction (hemolysis) of red blood cells, leading to the release of hemoglobin and the activation of inflammatory responses.

The symptoms exhibited by the patient, including shaking chills, muscle stiffness, elevated temperature, flushing, headache, and nervousness, are consistent with an acute hemolytic transfusion reaction. The sudden onset of symptoms shortly after starting the transfusion suggests an immune-mediated response.

Acute hemolytic transfusion reactions typically occur due to ABO blood group incompatibility, where the recipient's immune system recognizes the transfused red blood cells as foreign and mounts an immune response against them. The destruction of red blood cells can lead to the release of various substances, such as cytokines, which can cause systemic symptoms like fever, chills, and muscle stiffness.

Immediate management of an acute hemolytic transfusion reaction involves stopping the transfusion, providing supportive care, and closely monitoring the patient's vital signs. Additional treatments, such as intravenous fluids and medications to manage symptoms, may be necessary.

It is crucial for healthcare providers to identify and manage transfusion reactions promptly to prevent further complications and ensure the well-being of the patient.

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The intensity of sunlight on Earth is affected by

A.) the mass of Earth
B.) the speed of Earth
C.) the number of rotations of Earth
D.) the curved surface of Earth

Answers

Answer:

The correct answer is D.) the curved surface of Earth.

Explanation:

The intensity of sunlight on Earth is affected by the curved surface of Earth, which causes the sunlight to spread out over a larger area. As a result, the intensity of sunlight is less at any given point on Earth's surface than it would be if Earth had a flat surface. This also explains why the poles receive less sunlight than the equator, as sunlight is spread out over a larger area near the poles due to the curvature of the Earth.

Factors such as the mass of Earth, the speed of Earth, and the number of rotations of Earth do not directly affect the intensity of sunlight on Earth.

which stage of urine production involves adding ammonia, uric acid, and other waste substances directly into the renal tubule?

Answers

Secretion stage of urine production involves adding ammonia, uric acid, and other waste substances directly into the renal tubule.

Filtration is the first step in the urine production,  where water and other substances leave the blood and enter the renal tubule. Secretion is the process where substances that is not filtered out of the blood are moved into the fluid within renal tubule.

Hence, Urine formation occurs in three main steps like glomerular filtration, reabsorption and secretion. Urine comprises of  95 % water and 5% wastes such as ions of sodium, potassium and calcium, and nitrogenous wastes such as creatinine, urea and ammonia.

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***PLEASE HELP IT'S TIMED***
Apomixis is a form of sexual reproduction. True False

Answers

Answer:

true

Explanation:

i would say yes due to the fact that apomixis is a replacement of the normal sexual reproduction by asexual reproduction without fertilization

meiosis, a stage in the cell cycle, is important for what reason

Answers

It ensures you have the correct number of chromosomes

Answer:

Meiosis is important for sexual reproduction.

Explanation:

It is a stage in the cell cycle where a single cell divides into four daughter cells. During meiosis, genetic information is shuffled and recombined, allowing for variation in the gene pool. This variation is essential for sexual reproduction and the production of new, genetically distinct individuals.

What could a human living now and a dinosaur living millions of years ago
have in common?

Answers

Answer:

They both can eat the same thing.

Explanation:

Not sure if this si what your looking for. But hope it helps!

Most experiments in ecology are quick and can be done in a lab.
true or false

Answers

Answer:

The answer is true b/C can be done in lab

Why do you think engineers working on the Venice Tide Barrier project are following the Engineering and Design Process?

A. A creative, effective solution an be developed
B. The Engineering and Design Process costs more time and money
C. It eliminates the need for creativity
D. Over time, there will be no need to brainstorm or test ideas

Answers

Answer:

Please correct me if I’m wrong but I believe it’s cause it’s A

Explanation:

sorry If I answered your question wrong I didn’t mean to I really tried

Answer:

listening the money by the drums

Explanation:

A. Mitochondria and chloroplasts are found inside all cell types.

B. Mitochondria and chloroplasts each have a membrane around them just like a cell would.

C. There are ribosomes found inside mitochondria and chloroplasts just like there are Inside cells.

D. Looking inside mitochondria and chloroplasts , one will find that they each contain their own DNA .

A. Mitochondria and chloroplasts are found inside all cell types. B. Mitochondria and chloroplasts each

Answers

Answer:

B, C and D

Explanation:

Mitochondria and chloroplasts are not found in prokaryotes, since they prokaryotes do not contain any membrane-bound organelles. Chloroplasts are not found in animal cells either, so A is incorrect.

Other Questions
Read each question carefully. Determine the best answer to the question from the four answer choicesprovided1The three branches of government as described in Articles 1-III of the Constitution illustrate theprinciple ofABDindividual rights.republicanismpopular sovereigntyseparation of powers. letter of credit a good or service ? What type of pressure is indicated in this METAR? KDFW 250353Z 34009KT 10SM OVC005 16/15 A2992 RMK AO2 SLP124 T01610150 o a) STANDARD b) HIGH b c) LOW How are scientific questions answered? OA. Through feelings and guesses B. Through likes and dislikes C. Through beliefs and opinions D. Through measuring and observing Which scientist from the Renaissance period made significant scientific discoveries that bald the basis for scientists of the Scientific Revolution? Can someone please help :( a drug like nicotine that produces a biological response in the brain is called a(n) . Is automation just a manufacturing aspect of Operations Management?a . At first yes. However, automation has moved into both for manufacturing of products and in the aspects of creating services and overall Operations.b. It is just a manufacturing thing.c. Automation is not a concept in Operations Management. d. It is just a concept in automotive manufacturing. Given the phase diagram above, what phase would water be in if it had the following properties:a. 50 C, and 0.5 atm pressureb. -50C, and 0.5 atm pressurec. 125 C, and 1.0 atm pressure 4. at what temperature does your line intersect the x-axis? what volume corresponds to this temperature? Underline two things that settlers needed. Why did they need these things? Phlex Plastic has a very strong set of corporate values. In fact, Phlex has been known to discourage the emergence of alternative values. Phlex is most likely: switching costs due to brand loyalty to a first-mover company are a barrier to entry for late entrants to a country. a. true b. false Pleasediscuss how price and output are determined in a perfectlycompetitive market. Please explain your answer and support youranswer with reliable sources. Is true that women suffer to their skin pigmentation In the short run, when marginal product is positive and increasing the firm is in a. stage 1 production O b. stage 2 production O c. stage 3 production O d. stage 4 production Below is annual stock return data on Hollenbeck Corp and Luzzi Edit, Inc. What is the average return and standard deviation for each stock? (Round answers to 2 decimal places, e.g. 52.75.) eTextbook and Media Attempts: 0 of 2 used (b) What is the expected portfolio return on a portfolio comprised of i. 25\% Hollenbeck Corp and 75\% Luzzi Edit? ii. 50\% Hollenbeck Corp and 50\% Luzzi Edit? iii. 75\% Hollenbeck Corp and 25\% Luzzi Edit? (Round answers to 3 decimal places, e.g. 5.275.) Choose Yes or No to tell whether the expressions are equivalent. 4(5c + 3) and 90 + 7| Choose... Choose. 108-10 and 2(8f-5) Choose... 12g + 21 and 3(4g + 7) Choose... 6(4] - 6) and 24 - 36; ] Let R(x),C(X) and P(x) be, respectively, the revenue, cost, and proft, in dollars, from the production and sale of x items. If R(x) 8x and Cox)=0001x.5 2x + 60, find each of the following.a. P(x)b. R(50), C(50), and P(50)c. R'(x), C'(x), and P'(x)d. R'(50), C'(50), and P'(50) A bicycle has a listed price of 887.95 before tax. If the sales tax rate is 9 .75% , find the total cost of the bicycle with sales tax included.