Choose the correct approximate doubling time formula for a quantity growing exponentially at a rate of P% per time period. A. 70+P OB. P/70 OC. 70 x P OD. 70/P Under which conditions does the approximate doubling formula work well? OA. The approximation works best for large growth rates. OB. The approximation works best for growth rates over 100%. OC. The approximation works best for small growth rates. D. The approximation works best for positive growth rates.​

Answers

Answer 1

The correct approximate doubling time formula for a quantity growing exponentially at a rate of P% per time period is option B: P/70.

The approximate doubling formula works well under the condition stated in option OC: The approximation works best for small growth rates.

This is because the doubling time is inversely proportional to the growth rate. When the growth rate is small, the doubling time becomes larger, and the approximation formula P/70 provides a reasonable estimate. However, for larger growth rates, the approximation becomes less accurate.

Therefore, the correct answers are:

- Approximate doubling time formula: P/70

- The approximation works best for small growth rates.


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Related Questions

Your uncle suffers a traumatic brain injury in which the part of his brain critical for reward processing is damaged. Which of the following is injured?

pituitary

amygdala

nucleus accumbens

Hypothalamus

Answers

Answer:

nucleus accumbens

Explanation:

The nucleus accumbens is a key component of the brain's reward system and is involved in processing rewarding and reinforcing stimuli. Damage to the nucleus accumbens can result in changes in motivation, pleasure, and decision-making.The pituitary, amygdala, and hypothalamus are all important structures in the brain, but they are not specifically known as the primary centers for reward processing. The pituitary gland is responsible for regulating various hormones, the amygdala plays a role in emotions and fear processing, and the hypothalamus is involved in numerous functions such as regulating body temperature, hunger, and thirst.

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A fly has two alleles for the color of its eyes. The green allele is recessive, and
is represented by q. The blue allele is dominant, and is represented by p. If 28
of 100 organisms are green, what is p?
Homozygous dominant+ Heterozygous + Homozygous recessive = 1
OA. 0.72
B. 0.28
C. 0.53
D. 0.47

p+2pq+q² = 1

Answers

The frequency of the dominant blue allele, represented by p, is D. 0.47. This means that 47% of the creatures in the population have the blue eye colour allele.

The equation p + 2pq + q² = 1 represents the Hardy-Weinberg equilibrium equation, which describes the frequencies of alleles in a population.

In this case, p represents the frequency of the dominant blue allele, q represents the frequency of the recessive green allele, and p + q = 1 because these are the only two alleles in the population.

Given that 28 out of 100 organisms are green (q² = 28/100), we can find the value of q. Taking the square root of q², we get q = √(28/100) = 0.53.

Since p + q = 1, we can substitute the value of q to find p. Therefore, p = 1 - q = 1 - 0.53 = 0.47.

So, the value of p, representing the frequency of the dominant blue allele, is 0.47. This indicates that 47% of the organisms in the population have the blue allele for eye color. Therefore, Option D is correct.

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All of the following are essential amino acids except a) Arginine b) Alanine c) Histidine d) Lysine.​

Answers

All of the following are essential amino acids except: b) Alanine.

What is Alanine?

Since alanine is a non-essential amino acid, the body can produce it on its own and does not need to be consumed in the diet. From other amino acids and metabolic processes the body may make alanine.

The amino acids indicated in alternatives a), c), and d), on the other hand, are essential amino acids which means that the body cannot produce them and that they must be received from diet. These amino acids are essential for the production of proteins as well as other physiological processes.

Therefore the correct option is b.

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Which organisms can reproduce using the process of fragmentation

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Fragmentation is a form of asexual reproduction and is seen in annelids, fungi, cyanobacteria, sponges, and flatworms.

In Fragmentation, an organism divides itself into a number of fragments. It occurs when an organism completely breaks down independently irrespective of the other parts. Each one of these fragments matures into fully grown adults that are clones of the original organism.

Asexual reproduction usually involves the participation of a single parent alone can produce new offspring. The newly produced individual is genetically identical to one another and its parent. Both multicellular and unicellular organisms divide by fragmentation which is asexual reproduction.

Fragmentation is the most common method of reproduction in lower invertebrates. It is seen in many organisms including filamentous cyanobacteria, algae, lichens, molds, many plants, and animals such as flatworms,  annelid worms, sponges, and sea stars.

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The organisms that can reproduce by fragmentation are Option d Sponges and Sea anemones.

Fragmentation is a form of asexual reproduction in which an organism breaks into two or more fragments, and each fragment develops into a new individual. Both sponges and sea anemones are examples of organisms that exhibit this mode of reproduction.

Sponges are simple multicellular animals that lack true tissues and organs. They possess a porous body structure, and when a sponge is fragmented, each fragment has the potential to develop into a new sponge through regeneration. These fragments contain specialized cells called archaeocytes that can differentiate into various cell types required for the formation of a new sponge.

Sea anemones, on the other hand, are marine animals belonging to the phylum Cnidaria. They have a cylindrical body with tentacles surrounding their mouth. When a sea anemone is fragmented, each piece can regenerate into a complete individual. The process involves the differentiation of cells within the fragments, leading to the development of new tentacles, body parts, and eventually a mature sea anemone.

Both sponges and sea anemones have remarkable regenerative abilities, allowing them to reproduce through fragmentation. This form of asexual reproduction enables them to colonize new areas, expand their population, and adapt to changing environmental conditions. Therefore the correct option is D

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The Question was Incomplete, Find the full content below :

The organisms which can reproduce by fragmentation are:

(a) Corals and Sponges

(b) Corals and Spirogyra

(c) Sea anemone and Spirogyra

(d) Sponges and Sea anemones.

Scarification is a process that scratches up the surfaces of seeds that pass through the guts of birds. A student wanted to see if scarified seeds grew better than those that were not scarified. He simulated scarification by rubbing 20 cherry seeds with sandpaper. Another set of 20 cherry seeds were left alone. The student planted each of the seeds into separate pots and gave them the same amount of water daily. The pots were placed in a location with a constant temperature of approximately 25 degrees C. The number of seeds that germinated each group was recorded daily for three weeks. Which is the control group?
Which is the experimental group?
What is the independent variable?
What is the dependent variable?
Name at least one controlled variable?
Was quantitative or qualitative data collected?

Answers

The control group is the set of non-scarified seeds. The experimental group is the set of scarified seeds. The independent variable is scarification process. The dependent variable. is the number of seeds that germinated in each group.

Controlled variables are the amount of water supplied daily, the constant temperature of the growing environment, the type of cherry seeds used and the size of the planting pots.

Quantitative data are the daily count of the number of seeds that germinated in each group over three weeks.

The study does not have qualitative data.

Differences between dependent and independent variablesThe independent variable needs no stimulus to generate results.The dependent variable needs to be stimulated by the independent variable to generate results.

A scientific experiment needs to feature all of the elements represented above to be effective and reliable. This is because these elements prove that the experiment was carried out methodically, specifically, and with care in each variable and presented data.

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Which part of the brain is indicated by the arrow
below?

Answers

The part of the brain is indicated by the arrow is called Pons.

What is pons in the brain?

The pons, situated at the foundation of the brain within the brainstem, assumes a pivotal role in an array of functions, encompassing:

Governing respirationRegulating the cycles of sleep and wakefulnessOrchestrating movement coordinationFacilitating the transmission of messages between the cerebellum and the cerebrumServing as a conduit for nerve fibers connecting the spinal cord and the brain

Furthermore, the pons actively participates in the synthesis of cerebrospinal fluid, a transparent fluid that envelops and safeguards the brain and spinal cord.

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1. You have been hired to help assess water quality within your watershed as shown in the picture below. Label the point sources and non-point sources in the drawing.

2. What are the potential pollutants of concern in this picture? List as many as you can?

Answers

1. The point sources are the factories and Animal feedlot and non-point sources is water treatment plant.

2.The potential pollutants of concern are fac and factories and city streets.

What are the point source and nonpoint sources of water pollution?

Point sources, such as municipal and industrial discharge pipes where pollutants reach the water supply, are easily recognized sources or locations of pollution.

Non-point sources of pollution include agricultural runoff, acid rain, and other situations where it is difficult to pinpoint the source of the pollution. Pollution with a clear source, like a spill or discharge, is referred to as point source pollution. Non-point source contamination occurs when there is no way to identify the source of the pollution or when there may be several sources.

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Hello can someone help fill in these two blanks?

Answers

We can see here that filling the two blanks, we have:

1g of hydrogen = 1 mole.

7g of lithium = 1 mole.

What is mole?

In chemistry, a mole (symbol: mol) is a unit used to measure the amount of a substance. It is a fundamental concept in chemistry and plays a crucial role in quantitative calculations and understanding the relationships between mass, number of particles, and volume.

The mole is defined as the amount of a substance that contains as many elementary entities (such as atoms, molecules, ions, or formula units) as there are atoms in exactly 12 grams of carbon-12.

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what happens in meiosis during telophase 2​

Answers

Answer:

Meiosis can be described as a sort of cell division in which a single parent cell divides into four daughters. The number of chromosomes in the resultant daughter cells is half that of the parent cell. Reduction division is another name for this kind of division.

Telophase 2 results in the production of four daughter cells as the nuclear membrane forms, the chromosomes shift to their opposite poles, and the cell follows cytokineses.

Explanation:

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What are the celluar activities that sustain a single cell organism through its lifetime

Answers

The cellular activities that sustain a single-cell organism through its lifetime include nutrient uptake, metabolism, growth, reproduction, and waste elimination. These processes ensure the organism's survival and allow it to carry out essential functions.

To elaborate, single-cell organisms obtain nutrients from their environment through various means, such as diffusion, active transport, or phagocytosis. Once inside the cell, these nutrients undergo metabolic processes like glycolysis, the Krebs cycle, and oxidative phosphorylation to generate ATP. This energy is utilised for growth, repair, and maintenance of cellular structures.

Additionally, single-cell organisms reproduce through processes like binary fission or budding, enabling them to proliferate and pass on their genetic material. Waste products generated during metabolism are eliminated through exocytosis or diffusion to maintain cellular homeostasis.

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A room of 2650ft3 contains air at 77 F and 14.5psi at a relative humidity of 75% Determine: a) the partial pressure of dry air, b) the specific humidity, c) the enthalpy per unit mass of the dry air, and d) the masses of the dry air and water vapor in the room. Select an expression that is equivalent to V(6x). (6x5) A. 32/6x7/5 B. 32/37/3 C. 62/37/3 D. 62/6x7/5 Bonus Problem 3.16: Give an example showing that if we remove the assumption that \( G \) is finite in Problem \( 3.15 \), then the conclusion need no longer follow, For the fixed order quantity system if the mean daily demand is 30 with the standard deviation of 3 , the lead time in days is 3 . The manager wants to keep the service rate 95%. What is the reorder point? 98.00 90.55 100.00 98.55 Fill in the Blank: a. The entire collection of objects being studied is called the ________________. b. A small subset from the set of all 2013 minivans is called a ________________. c. Consider the amount of sugar in breakfast cereals. This characteristic of breakfast cereal (objects) is called a ________________. What is the pH of the buffer made by mixing 100 mL1.0M acetic acid with 100 mL0.5M sodium acetate? Ka=1.7410 5(pH 4.46) 0 mL 0.30 14. What is the pH of the buffer made by mixing 250 mL0.30M phosphoric acid with 150 mL 0.80MNaH 2PO 4? Ka=7.2410 3(pH 2.34) sam wants the browser to load a background image and repeat the image in both the vertical and horizontal directions until the background is filled. this process is known as _____. Explain the importance of the project charter and what should be included in the charter? Discuss how IT projects are identified and prioritize within an organization. Discuss NPV, ROI and payback analysis. How are they used to help identify which projects are chosen. What should be included in a Project management plan? La escucha activa introduccin which of the following correctly describes the stereospecific formation of a citric acid cycle intermediate? Prove that if P(A]B) = 1, then P(B' (A') = 1 according to co-cultural communication theory, euro-americans are the dominant culture in the united states and, therefore, have more power what s the single most important factor in determining survival from cardiac arrest? Graph the parabola. y=x^22 the largest and most sophisticated molecules in a cell are _____. a)proteins b)fats c)nucleic acids d)carbohydrates A random sample of 400 college students revealed that 232 have eaten fast food within the past week. Make the confidence statement. the gas in the interstellar space between stars is very tenuous (thin) but can be heated to a very high temperature in the vicinity of a hot star. this hot, tenuous gas will emit People addicted to heroin are likely to show ____ when compared to non-addicted individuals.A. a steep reward discounting functionB. a more shallow reward discounting functionC. a discounting function with more peaksD. a discounting function with fewer peaks _________, a hormone that triggers feelings of sleepiness, is released at higher levels when you are in dark surroundings.a. Melatoninb. Estrogenc. Serotonind. Testosterone Describe verbally the transformations that can be used to obtain the graph of g from the graph of f . g(x)=4^{x+3} ; f(x)=4^{x} Select the correct choice below and, if necessary, fill