The remainder when p(x) = -2x⁵+x⁴+5x³+4x+1 is divided by (x-2) is 1.
To solve the question above, we make use of the remainder theorem.
Remainder Theorem: It states that if a function F(x) is divided by (x-a), the remainder is F(a).
From the question,
Given:
Dividend ⇒ p(x) = -2x⁵+x⁴+5x³+4x+1Divisor ⇒ (x-2)in view of the above and applying the Remainder theorem, The remainder will be p(2)
p(2) = -2(2⁵)+2⁴+5(2³)+4(2)+1p(2) = -64+16+40+8+1p(2) = 1hence the remainder when p(x) = -2x⁵+x⁴+5x³+4x+1 is divided by (x-2) is 1
Learn more about the remainder theorem here: https://brainly.com/question/13328536
Select all the correct answers.
For a claim about the natural world to be considered scientific, what attributes must it have?
It must be consistent with only a small portion of relevant observations or data.
It must be open to modification if new evidence doesn't completely support it.
It must be based on scientific observations that can be repeated in a controlled setting.
It must be applicable to future events and occurrences.
(MUST BE MORE THAN ONE ANSWER)
Answer:
It must be consistent with only a small portion of relevant observations or data. It must be applicable to future events and occurrences. It ...
2 answers
·
30 votes:
It must be based on scientific observations that can be repeated in a controlled setting, ...
Explanation:
A zombie apocalypse wipes out almost the entire human species before the zombie threat is eliminated. It appears that only a group of 100 people who were at a family reunion on an uninhabited island survived. They returned to the mainland completely unaware of what had happened to everyone. Answer the following questions regarding the few survivors that now begin to rebuild the human population.
Certain traits will have been lost from the gene pool forever. Some may be obvious, like people with red hair and double jointed thumbs. Others will be less obvious, like the ability to process cholesterol or being allergic to peanuts.
a.) Which of the following best describes the mechanism of microevolution that has altered the human gene pool? Explain.
b.) Despite an abundance of habitat, why will it be difficult for the human species to recover in numbers?
c.) A straggler with green eyes stumbles into the last remaining human outpost. The green eye trait did not exist in the outpost before her arrival, but it does now. What is the name of this mechanism of evolution? Explain.
Answer and Explanation:
A. Hello. You did not enter answer options. However, we can state that mutation, natural selection and genetic drift will be the microevolution mechanisms that will affect the gene pool of these humans. This is because the new environment and the small number of living beings, will make this population completely susceptible to all these evolutionary factors, which will affect, in different ways, the gene frequencies in a population.
B. As the amount of living beings and human beings has become very small, the world will have a low genetic diversity. This will make it difficult for these humans to adapt to the new environment and will make them more susceptible to possible diseases that will arise in this new environment. This will make these humans more fragile and make it harder for them to multiply.
C. The evolution mechanism is the Gene Flow. Gene Flow refers to the exchange of genetic information between individuals in a population, through the donation of gametes that occur in reproductive processes. In this case, we can consider that the individual with green eyes, upon arriving in the community with individuals without green eyes, began to reproduce descendants, who, upon receiving the gametes responsible for green eyes, began to populate this community with this characteristic.
Can someone help me please?!
A family released their pet fish family into a local pond. The fish had no known local population. The impact of the fish on
the ecosystem is not yet known.
Which term would best define the fish added to the pond?
O invasive species
O introduced species
O native species
O symbiotic species
The term that would best define the fish added to the pond is INTRODUCED species. These species may be harmful to native species.
Introduced species are exotic species which has arrived there by human activity, which may be harmful to native species.
Introduced species may even be harmful to the entire ecosystem because they can break the delicate equilibrium of the ecosystem.
Introduced species may compete with native species for limited resources (e.g., water resources, foods, habitat, etc).
Learn more in:
https://brainly.com/question/21452505
Answer:
To sum it up, it's A "Introduced species"
Explanation:
It's correct. Have a blessed day <3
A snail moves 1.1 cm/min how far could it travel in 48 min
Answer:
52.8 centimeters
Explanation:
1.1 times 48 minutes is 52.8
Answer:
52.8 cm
Explanation:
1.1 cm/min multiplied by 48 equals 52.8
A scientist hypothesizes that increasing the amount of salt in a body of water will decrease the number of plants that can live in the water. What is the independent variable?
Group of answer choices
Amount of salt
Amount of water
Temperature of the water
Number of plants in the water
Dependent and Independent variables are regarded as variables in mathematical and statistical modeling and of course in some other aspects.
The independent variable is this case is the amount of salt.
In this kind of scenario, one can think of independent and dependent variables in terms of cause and effect. An independent variable is the variable we assume to be the cause, while a dependent variable is assumed as the effect. Therefore, with this case, the amount of salt would cause a decrease in the number of plants. While the effect of increasing the amount of salt would be seen in the number of plants.Learn more about dependent and independent variable: https://brainly.com/question/25223322
In deserts there’s a strong environmental pressure to conserve water. How did cactuses evolve to meet this pressure?
Answer:
Cacti evolved in the way that they are able to hold watter within themselves and their cells.
Explanation:
Cactuses have evolved in such a way that their roots and leaves hold water as long as possible. This gives the capability of cacti to meet this environmental pressure in order to conserve water.
What are the special adaptations of the cactus?Under desert climates, cacti have various numerous unique adaptations in order to facilitate their survival in the same habitat. It includes its roots, leaves as well as stems that enable it to thrive in desert environments.
These adaptations include: Leaves are reduced to spines to reduce water loss through transpiration. Wide and deep roots absorb rainwater on the surface and reach the underground deep water.
Therefore, cactuses have evolved in such a way that their roots and leaves hold water as long as possible.
To learn more about the Adaptation of cacti, refer to the link:
https://brainly.com/question/28106047
#SPJ2
Mountain chains in northern Europe and West Africa match the Appalachian Mountains in terms of their ages and the sequences of rock layers that make them up. in 3-5 sentences analyze these observations and explain what conclusions can be drawn from them.
According to the statement, it can be concluded that the three mountains were formed around the same geological era. Additionally, they have similar layers due to the sedimentation and metamorphization processes.
Since its emergence, the Earth has experienced different physical and chemical phenomena that have influenced changes in it. In the case of the lithosphere and the Earth's crust, they have been influenced by phenomena such as
Volcanism The rock cycle The wind The rainfall Among other
Additionally, geologists have developed methods of studying the crust to know the age and composition of the layers of the Earth's crust. According to this, it can be established that these three layers are of the same age because their composition of layers is studied and the materials and distribution of the layers match, that is, they were formed at the same time.
This coincidence in distribution is explained through the processes of sedimentation of materials and their metamorphization.
Learn more about lithosphere in: https://brainly.com/question/1176070
What percentage of red cross donations go to charity?
In an ecosystem, organisms use up
chemical energy and most of the
energy is then lost to the
environment as
A. light
B. heat
C. photons
A chemical agent that kills pathogenic microbes in general is a(n) sanitizer. fungicide. disinfectant. antiseptic. germicide.
Answer:
Disinfectant
Explanation:
What do you mean by hypometrophia?
Answer:
Hypermetropia is also referred to as hyperopia or long-sightedness or far-sightedness. Hypermetropia is the condition of the eyes where the image of a nearby object is formed behind the retina. Here, the light is focused behind the retina instead of focusing on the retina
Which substance, maple syrup or vegetable oil, has a higher viscosity? Explain how you know the answer.
Answer:
maple syrup
Explanation:
This is because viscosity is simply the resistance of a fluid to flow. A thicker fluid is more resistant than a lighter one. In this case maple syrup is thicker than vegetable oil thus more viscous than it.
who won the nobel prize for discovering the structure of dna
Answer:
James Watson, Francis Crick , Maurice Wilkins and Rosalind Franklin
An individual has a genotype of IBi. What is their blood type?
Answer:
type B
.................
Which of these is an advantage of factory farming?
O A. Less efficient operation than family farms
O B. More job opportunities than family farms
O C. Smaller profit margin than family farms
O D. More expensive products than family farms
Answer:
B
Explanation:
Answer is not A because this is not a benefit
Not C because it is also not a benefit
not D because it is not a benefit
B is the only benefit listed.
Help, please I'll give brainless but the answer got to make sense
Answer:it’s a machine to weave cloth
Reason: there was too much demand to do it by hand
Importance: it’s important because it changed the way people worked in the textile industry as they didn’t have to weave cloth by hand anymore and it saved tons of time
Reason: there was too much demand to do it by hand
Which Image shows what the cell would look like in the next step?
5
HELP PLEASE!!
Which among these places has the least vertebrates diodiversty?
A. Alaska
B. Amazon
C. Philippines
D. African Safari
Answer:
A. alaska
Explanation: plants don’t survive in the extreme cold and ice that cover these regions year-round.
cual es la energía que se encuentra ligada a la estructura de la materia.
Answer:La energía eléctrica o electricidad es un fenómeno físico que se produce a raíz de las cargas eléctricas y de la interacción entre ellas. De esta forma, son los electrones y los protones las principales partículas subatómicas responsables de su aparición.
Explanation:
the process of activating photoreceptors by altering the photopigments is known as __________.
The process of activating photoreceptors by altering the photopigments is known as PHOTOTRANSDUCTION. It involves the mechanism by which light can be converted into electrical signals.
Phototransduction refers to the mechanism by which light can be converted into electrical signals.
Visual phototransduction occurs in the part of the eye known as the retina, in specific cells called photoreceptors and ganglion cells.
Photoreceptor cells include rod cells and cone cells, which are sensitive to light.
Learn more in:
https://brainly.com/question/16204175
A lion chases an antelope, which narrowly escapes being eaten. Which
energy conversion saved the antelope's life?
Answer:
Chemical energy to kinetic energy.
Explanation:
Answer:
Chemical energy
Explanation:
i think this is your answer for your question i think maybe its correct if its correct pls tell ok
Which statement about US greenhouse gas emissions is supported by the bar graph? Emissions decreased every year between 2005 and 2014. Emissions increased substantially between 2005 and 2014. After peaking in 2007, emissions dropped every year through 2014. After peaking in 2007, emissions went up and down through 2014.
Countries often have records of gas emissions in their county. The statement about US greenhouse gas emissions is supported by the bar graph is that after peaking in 2007, emissions went up and down through 2014.
Greenhouse gas emissions often takes place due to the activities of human. These activities acts as a catalyst to powerup the greenhouse effect, causing climate changes.Recorded data of gas emissions has shown that after it peaked in 2007, reduction is said to be of averaged 1.3% per year but the data of U.S. energy-related CO2 emissions in 2019 shows that it was 1.8% greater than in 1990.
Learn more from
https://brainly.com/question/18525310
Answer:
D. After peaking in 2007, emissions went up and down through 2014.
Explanation:
EDGE2021
The separation of the colors occurs because each different ____ of light ______, or bends a different amount
A frequency, wavelength
B wavelength, reflects
C wavelength, refracts
Overpopulation can result from _____________
Answer: Overpopulation can result from low mortality rate.
Explanation: Population change is caused by a balance in birth rate and death rate. If the death rate decreases, it will cause a growth in population. I hope this answer helps.
Do you think the vacuum hose is an effective way to remove sea urchins? Why? Explain at least one way this technology can be improved.
Answer:
No, or at least not yet. there small and dont do much improvment. If they were much bigger and sucked better, including some touch-ups here and there, they would have a bigger effect on removing sea urchins.
Explanation:
No
vaccum hoses are quite small in size.They don't suck sea urchins as per requirement.If they would be bigger and have more sucking power then it can be yes.can you answer this?
Answer:
possibly the second one
Explanation:
not sure
system of layout refers to the design of planting trees
true or false
[tex] \: \: [/tex]
TRUEsystem of layout refers to the designs of planting trees.it is desirable planted in a systemic wayhope it helpsscience questions , may be out of order but please help asap ( about mitosis )
Answer:
1. 2 chromatids, centromere, kinetochore
2. 56
3. It is a haploid gamete
4. Synthesis stage
5. Anaphase
6. G2
7.Cytokenesis
What would happen to the rate of activity if you place Pepsin in the small intestine with a pH of 6?
Answer:
When it reaches the duodenum, though, it assumes an inactive form as the pH rises above 6. Pepsins are secreted by Brunner's glands of the duodenum, and the crypts of Lieberkühn of the small intestine secrete an aqueous fluid.
Which of the following structures is known as the power house or power generator of a cell?
оооо
mitochondria
rough ER
smooth ER
cytoskeleton
