how to calculate the first hundred terms of a sequence
Answer:
Question: what is the sum of the first 100 whole numbers?? how am i supposed to work this out efficiently? thanks
The question you asked relates back to a famous mathematician, Gauss. In elementary school in the late 1700’s, Gauss was asked to find the sum of the numbers from 1 to 100. The question was assigned as “busy work” by the teacher, but Gauss found the answer rather quickly by discovering a pattern. His observation was as follows:
1 + 2 + 3 + 4 + … + 98 + 99 + 100
Gauss noticed that if he was to split the numbers into two groups (1 to 50 and 51 to 100), he could add them together vertically to get a sum of 101.
1 + 2 + 3 + 4 + 5 + … + 48 + 49 + 50
100 + 99 + 98 + 97 + 96 + … + 53 + 52 + 51
1 + 100 = 101
2 + 99 = 101
3 + 98 = 101
.
.
.
48 + 53 = 101
49 + 52 = 101
50 + 51 = 101
Gauss realized then that his final total would be 50(101) = 5050.
The sequence of numbers (1, 2, 3, … , 100) is arithmetic and when we are looking for the sum of a sequence, we call it a series. Thanks to Gauss, there is a special formula we can use to find the sum of a series:
S is the sum of the series and n is the number of terms in the series, in this case, 100.
Hope this helps!
the difference between bright-field microscope and fluorescent microscope
Answer:
As mentioned, light microscopes that are used for light microscopy employ visible light to view the samples. This light is in the 400-700 nm range, whereas fluorescence microscopy uses light with much higher intensity. ... This is typically a simpler technique than fluorescence microscopy.
#Carry on learning❤️Hope it helps :D❤️
Answer:
As mentioned, light microscopes that are used for light microscopy employ visible light to view the samples. This light is in the 400-700 nm range, whereas fluorescence microscopy uses light with much higher intensity. ... This is typically a simpler technique than fluorescence microscopy.
ATP synthesis in chloroplasts is very similar to that in mitochondria: Electron transport is coupled to the formation of a proton (H ) gradient across a membrane. The energy in this proton gradient is then used to power ATP synthesis. Two types of processes that contribute to the formation of the proton gradient are: processes that release H from compounds that contain hydrogen, and processes that transport H across the thylakoid membrane.
Complete question:
ATP synthesis in chloroplasts is very similar to that in mitochondria: Electron transport is coupled to the formation of a proton (H+) gradient across a membrane. The energy in this proton gradient is then used to power ATP synthesis.
Two types of processes that contribute to the formation of the proton gradient are:
processes that release H+ from compounds that contain hydrogen, and
processes that transport H+ across the thylakoid membrane.
Drag the labels to the appropriate locations on the diagram of the thylakoid membrane. Use only the blue labels for the blue targets, and only the pink labels for the pink targets.
Note: One blue target and one pink target should be left empty.
You will find the image and the labels in the attached files
Answer:
You will find the image and the answer in the attached files
Explanation:
Fosforilation of ADP to ATP occurs while electrons descend through the electron chain, from photosystem II to photosystem I.
Placed in the thylakoid membrane, there are molecules and complexes that participate in light-dependent reactions. The places that occupy these molecules in the membrane make possible ATP synthesis. Protons are released into the thylakoid space when the water molecules split in photosystem II. Membranes are impermeable to protons, so they can not leave the thylakoid space, nor enter without a protein transporter. Through the membrane, there is an electrochemical gradient as additional protons are pumped from the stroma to the thylakoid space, using the released energy as electrons move along the chain. ADP phosphorylates to ATP while protons move from the thylakoid space to the stroma in favor of the electrochemical gradient, through ATP synthase. ATP synthesis occurs in the stroma.
Humans and animals have critical periods. True or False?
Answer:
true
Explanation:
The development period of the animals and human beings starts after the birth when a person starts learning and development.
Answer:
False it the correct answer of Oddeyseyware
Explanation:
20. Some urea diffuses out of the collecting duct, because the tubule is permeable to urea. This adaptation allows the interstitial fluid of the inner kidney to become more concentrated than the filtrate. In turn, more water is reabsorbed by blood. What a perfect system! The filtrate reaching the collecting duct is called urine. Is urine more or less concentrated than the initial filtrate
Answer:
Urine is more concentrated than initial filtrate. Urine is, in fact, four times more concentrated than initial filtrate.
Explanation:
The urinary system is the one in charge of filtrate blood and propduce urine. The main stars in the system are kidneys and the functional unit of them are the nephrons.
There are many steps in producing urine. Fluid goes between different parts of the kidney: renal tubule, renal corpuscle, bowman's capsule, etc. We have through all these parts these following steps: filtration, reabsorption to blood, secretion from blood and excretion.
From filtrate, the boody reabsorbs sodium chloride, glucose, water and amino acids. When the fluids moves down the loop of Henle, it becomes less concentrated, so it is full of water. At the end, urine is four times more concentrated than initial filtrate.
Cellular differentiation progressively restricts cell fate because the unexpressed genes in the cell: Select all that apply. accumulate near the centromeres. are deleted from the genome. become more densely packed with nucleosomes. accumulate point mutations. undergo irreversible repression.
Answer:
The correct answer is ''undergo irreversible repression.''
Explanation:
The morphological and physiological transformation of meristematic cells into adult or differentiated tissues constitutes the process of cell differentiation. This, and the consequent specialization of the cell, bring about the division of labor, forming cells with specific functions. Differentiation occurs by differential activation of some genes and repression of others. Depending on the position it occupies, each cell receives certain stimuli to develop the corresponding activities. During the differentiation process, cells undergo a series of changes in their characteristics and there is a readjustment in their mutual relationships.Different molecular factors initiate and drive the programming / reprogramming of cell fate through the modulation of specific genomic and epigenomic patterns, which regulate the expression of activator / repressor genes of the main fundamental and specialized cellular processes. Thus, the differentiated cell will express certain genes and acquire certain functions.Adult stem cells are responsible for maintaining the different types of specialized cells that make up the body. Asymmetric cell division in stem cells has emerged as one of the main physiological mechanisms that regulate the number of cells and their diversity to maintain tissue homeostasis. A large number of molecules, generically called determinants of cell fate, participate in the regulation of asymmetric division. Asymmetric division of somatic stem cells produces both a stem cell and a progenitor. The initial progenitor cells, through new cycles of asymmetric cell division, finally reach their terminal state of cell differentiation, due to changes in intracellular and extracellular (environmental) signaling. After cells leave their mother state and begin to differentiate, they make exclusive selections for phenotypic pathways through secondary genomic / epigenomic modifications, mainly to different types and gradients of transcription factors (physiological programming of cell differentiation). This leads, for example, to activation of specialized biosynthetic pathways, remodeling of the cytoskeleton, and repression of cell proliferation signaling. The expression of genes is regulated mainly at the level of their transcription. Transcription factors correspond to proteins with the ability to interact with specific DNA sequences and trigger their transcriptional activity. Most transcriptional factors contain different domains that participate in different aspects of protein function; they generally contain two domains: a domain that binds to specific DNA sequences and an activation domain that regulates transcription by interacting with other proteins. In the regulation of gene transcription, in addition to transcription factors, coactivating and corepressor molecules participate, which bind to them, modifying their activity in a positive or negative sense. Each cell type has a characteristic pattern of gene transcription, which is determined by the binding of combinations of transcription factors to the regulatory regions of a gene.
Cellular differentiation progressively restricts cell fate because the unexpressed genes in the cell are undergoing irreversible repression.
What does the term gene repression mean?
Gene repression is the switching off of unique genes whose products are needed to support the function of the cell such as the production of vital enzymes or cofactors.
This is specifically important if the products of such genes are not long-lived and deteriorate, or are metabolized.
Thus, option "D" is undergo irreversible repression.
To learn more about gene repression click here:
https://brainly.com/question/14172124
PLEEASEEE IT IS URGENT I NEED THE ANSWER NOW!
Which best describes respiration?
A. a cell process that releases energy from food
B. a cell process that converts carbon dioxide into energy
D. a plant process where chlorophyll produces sugar energy
.... ..
..... .... ... ..
Answer:
A. a cell process that releases energy from food
Explanation:
Answer:
It would be B, hope that helped
What type of cell are plant and animal cells?
Answer:
eukaryotic
Explanation:
Help me out pls and thanks omgggg
Answer:
answer is A good luck on you're quiz
Beak of the Finch Summary
Instructions: Write 3 paragraphs (3-4 sentences each) about the beak of the finch video. Paragraph 1→ Summarize the video/ Paragraph 2→Explain a few interesting facts you learned from the video/ Paragraph 3→ Relate the video to what we have learned in class about evolution.
Plz ill brainlist you
Answer:
where is the video please show its
(giving brainiest)
brainly will ban you if you answer with a wrong absurd answer or copied answer if the question has over 50 points in it!
Answer:
Inner planets: Mercury, Venus, Earth, Mars
Outer planets: Jupiter, Saturn, Uranus, Neptune
They all orbit the sun, have a core, are round, and have gravity.
Jupiter vs. Venus: They both have reflective atmospheres. Jupiter is much larger and is a gas planet. Venus is smaller and has a rocky surface.
Explanation:
Hope this helps!
Bruce had a stroke, after which he could not move his left arm. However, after
physical therapy, he regained some control of that arm due to some brain neurons
growing new connections among themselves. This is an example of
Answer:
Brain Plasticity
Explanation:
This is an example of the brain's ability to adapt to changes in the body and loss of connections in the brain itself and is not fully understood. This is also why people that loss their vision can have much better hearing months or years later, as their brain adapts to the body's loss of a sense and compensates.
The example given explains neuroplasticity.
Neuroplasticity, is also referred to as brain plasticity and this occurs when there's a change in the nervous system as a result of a response to a particular stimuli.
In this case, the neural networks that are in the brain will change and the changes can bring about systematic adjustments in the body.
Read related link on:
https://brainly.com/question/16360885
A research scientist studied the effects of various treatments on the growth of poplar trees. He decided to treat a large sample of saplings with a fertilizer, continual irrigation, irrigation and fertilizer and a control group (non-continual irrigation and no fertilization). He placed one quarter of all saplings into each of the groups and then measured their mass differential after 3 weeks. Did the treatment have an effect on the growth of the trees
Answer:
hello your question is incomplete attached below is the screenshot of the missing part
answer : The treatment had an effect on the growth of the trees
Explanation:
H0 : No significant effect
Ha : At least one treatment has a significant effect
To confirm the above hypothesis ( conduct one way ANOVA )
From the one way Anova
( X represents each group; from control to Fertilizer and irrigation )
∑ X1^2 = 0.2338 , ∑ X2^2 = 1.8284, ∑X3^2 = 0.1982, ∑X4^2 = 11.8492
Also : ∑ N = 5 + 5 + 5 + 5 = 20 where N = number of trees in each group
also K represents number of groups i.e. = 4
Next calculate the sum of squares ( calculated using online tools )
i) Between sum of squares: value = 4.6824
ii) Within sum of squares : value = 4.3572
Next step : Calculate the degrees ( DF)
i) Between degrees of freedom
Dfb = k - 1 where K = 4 therefore Dfb = 3
ii) within degrees of freedom
Dfw = N - k , where N = 20 and K = 4 therefore Dfw = 16
Next : calculate mean sum of squares
i) Between mean sum of squares
= 4.6824 / 3 = 1.5608
ii) within mean sum of squares
= 4.3572 / 16 = 0.2723
Calculate the F-statistic value
[tex]F_{calculated }[/tex] = Between mean sum of squares / within mean sum of squares
= 1.5608 / 0.2723 = 5.73
determine the F critical value
Fcritical = [tex]F_{3,16,0.05}[/tex] = 3.2389 ( obtained from F table )
since [tex]F_{calculated } > F_{critical}[/tex] hence we can say The treatment had an effect on the growth of the trees i.e. Reject H0
PLEASE HELP (you’ll get 22 points for helping me). • 1 how an organism makes a living or fills a role
O B) habitat
O D) niche
O C) emigration
O A) endangered species
Answer:
habitat
Explanation:
I'm not that smart but I think when a organism adapts to a living is a habitat
True or false An organelle is made up of different tissues working together...
Answer:
False
Explanation:
Level of Organization is as follows:
Organelles --> Cells --> Tissues --> Organ --> Organ System
A population of birds contains 16 animals with red tail feathers and 34 animals with blue tail feathers. Blue tail feathers are the dominant trait.
Answer:
Yes they are becuase of mixed breeding pls sub to Beast_Building on yt since i helped :) !!!
Explanation:
Changes in Cytochrome b
G. G galloti G. galioti G galloti
atlantica palmae eisentrauti
G
stehlini
G.
bravoana
G.
simonyi
galioti
G
stehlini
36
atlantica
G. Galloti
palmae
41
25
G. galloti
hisentrauti
40
8
23 19
G. galloti
40
10
6
galloti
45
24
19
19
15
bravoana
49
28
19
G
simonyi
21
17
Which conclusion about the relatedness of the lizards do these data support?
A G. atlantica and G. Stehlini are the least closely related.
B G. simonyi and G. bravoana are the most closely related.
C G galloti eisentrauti and G. Galloti palmae are the most closely related.
D G galloti eisentrauti and G. galloti galloti are the least closely related.
Answer:
your answer is d
Explanation:
because if you dip an object into water it becomes acid fluids like gas
What is the connection between the Igneous rock In the picture of the volcano and the black sand beach? What are some steps n the process?
Answer:
There isn't a picture, but the black sand beach was created because of volcanoes. These beaches for over a long amount of time by erosion of volcanic minerals and lava. This is combined with the ebb and ocean waves.
Endangered species are species with decreasing populations that are
sudden loss of habitat
decreased number of natural predators
increased availability of reproductive mates
moving an individual organism into captivity
Answer: Sudden loss of habitat
Explanation:
Endangered species are animal or plant species that are in danger of going extinct.
This usually results from them suddenly losing their habitat and thus being exposed to unfamiliar conditions or threats that could end their existence. For instance, elephants losing their forest habitats in India and thus encroaching on farmland only to get shot for damaging farms.
A plastic bottle contains 32.5 L of gas at a pressure of 45.7 kPa and
is compressed to a volume of 4.1 L. What would be the new
pressure?
Answer:
Final pressure, P2 = 362.26 kPa
Explanation:
Given the following data;
Initial volume = 32.5 Liters
Initial pressure = 45.7 kPa
Final volume = 4.1 Liters
To find the final pressure, we would use Boyle's law;
Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.
Mathematically, Boyles law is given by;
[tex] PV = K[/tex]
[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]
Substituting into the equation, we have;
[tex] 45.7 * 32.5 = P_{2} * 4.1 [/tex]
[tex] 1485.25 = 4.1P_{2} [/tex]
[tex] P_{2} = \frac {1485.25}{4.1}[/tex]
[tex] P_{2} = 362.26 [/tex]
Final pressure, P2 = 362.26 kPa
Directions: Drag the nitrogenous bases to the correct locations on the image. Each base can be used more than once, but not all bases must be used. A section of a DNA molecule is shown in the diagram below, but only one strand is complete. Add the correct nitrogenous bases to the molecule to form two complementary DNA strands.
C T G U A
TG CTCA GACT
Answer:
GACTT ACGAGTCTGA
I’ll mark u as brainliest!
The cell looks identical on both sides of the second picture. This shows that the cell is getting ready to split into two separate cells.
How many chromosomes are there in
gametes?
HALF the amount of normal cells
The same amount as all other cells
DOUBLE the amount of normal cells
Answer:
HALF (23) the number of normal cells (46).
Explanation:
This biome has a cold harsh climate and short growing season.
A)Temperate Forest
B)Taiga
C)grasslands
Grassland biome has a cold harsh climate and short growing season.
What is Grassland?
Grasslands can be found in regions with regular rainfall levels that are insufficient for a forest to thrive but not so low that a desert develops. Indeed, meadows are frequently found between deserts and woods. Grasslands cover anywhere from 20 to 40% of the planet's geographical area, depending on how they are characterized.
They exist on every continent, with the exception of Antarctica, and are often open and flat, making them susceptible to pressure from burgeoning human populations.
Agriculture, excessive grazing, invasive species, unreported hunting, and climate change are some of the threats to natural grasslands and the wildlife that inhabits them.
Therefore, Grassland biome has a cold harsh climate and short growing season.
To learn more about Grasslands, refer to the link:
https://brainly.com/question/30948168
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plants are able to bend their stem so they are closer to a light source________
what adaption do they use?
structural
physiological
behavioral
Answer:
I think its physiological (B)
Explanation:
In phototropism a plant bends or grows directionally in response to light. Shoots usually move towards the light; roots usually move away from it.
Plants have a variety of developmental, physiological, and growth responses to light—sometimes only to particular wavelengths of light.
(Credits to Khan academy) Hope im right and hope it helps.
Maria and Sam are doing an investigation to see what happens if a vegetable is placed in salt water overnight. The next day, they notice that their sample appeared shrunken because salt water causes cells to lose water. Sam tells Maria that he thinks this is the reason why humans cannot drink salt water. Is he correct? A. Yes, Sam is correct. Animal and plant cells react the same way when exposed to salt water, so it is not safe to drink. B. Yes, Sam is correct. Animal cells can process salt water in small amounts, so it is safe for humans to drink salt water. C. No, Sam is not correct. Plant cells and animal cells act differently when exposed to salt water. D. No, Sam is not correct. Both animal and plant cells are made in the same way, but plant cells can process salt water.
Answer:
C
Explanation:
because it makes sense
Answer:
A. Yes, Sam is correct. Animal and plant cells react the same way when exposed to salt water, so it is not safe to drink.
Hope This Helps!!!!
What causes the difference in humidity between Florida and Las Vegas
Answer:
yep
Explanation:
Little or no humidity is not so true anymore, with the building up and more greenery. Las Vegas the humidly is not at all that low as it once once
The difference in humidity between Florida and Las Vegas is primarily due to their geographic locations and climate patterns.
What causes the difference in humidity between Florida and Las Vegas?Florida is located in the southeastern United States and is surrounded by water on three sides, with the Atlantic Ocean to the east, the Gulf of Mexico to the west, and the Straits of Florida to the south.
This proximity to water and the warm ocean currents that flow nearby create a humid subtropical climate, characterized by hot summers and mild winters with high levels of humidity throughout the year.
The low humidity in Las Vegas is due to the fact that the dry air has little moisture in it, leading to a lower amount of moisture in the atmosphere. Thus, there is a difference in humidity between Florida and Las Vegas.
Learn more about humidity, here:
https://brainly.com/question/22069910
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In pea plants, round peas are dominant over wrinkled peas. In a cross between a
heterozygous round pea plant and a wrinkled pea plant, what is the phenotypic ratio of
their potential offspring? Use a Punnett square to justify your answer
Answer:
2:2
Explanation:
2 offspring will be Rr, which is round
2 offspring will be rr, which is wrinked
Therefore, the ratio will be 2:2
Which protein is found in the dead epidermal cells? *
1 point
melanin
arrector pili
keratin
dermis
Answer: keratin beacuse thats the right answer
What
The differee between Riversible Inhibition and
irrversibel Inhibition
Answer:
Explanation:
Irreversible inhibitors usually react with the enzyme and change it chemically (e.g. via covalent bond formation)
In contrast, reversible inhibitors bind non-covalently and different types of inhibition are produced depending on whether these inhibitors bind to the enzyme, the enzyme-substrate complex, or both.