Let's assume a plane
[tex]ax+by+cz=1[/tex]
with each of a, b, and c greater than 0. Then the plane has intercepts with coordinates
[tex]y=z=0 \implies ax = 1 \implies x = \dfrac1a[/tex]
[tex]x=z=0 \implies by = 1 \implies y = \dfrac1b[/tex]
[tex]x=y=0 \implies cz = 1 \implies z = \dfrac1c[/tex]
The volume of the tetrahedron is then
[tex]\displaystyle \int_0^{\frac1a} \int_0^{\frac{1-ax}b} \int_0^{\frac{1-ax-by}c} dz \, dy \, dx = \boxed{\frac1{6abc}}[/tex]
i.e. 1/6 times the product of the intercepts' non-zero coordinates
A moose eats a lily pad. what is required to produce the atp the moose needs to performs cellular processes? choose all that apply.
Considering the image, oxygen and glucose as the products in D.
What is cellular processess?The term cellular processess refers to those processess that produce energy in an organism.
From the diagram, we can see that D refers to the products of photosynthesis. Hence, we have oxygen and glucose as the products in D.
Mising parts;
A moose eats a lily pad. The food the moose eats is used to make ATP energy that can be used in cellular processes. The products of photosynthesis are the reactants of cellular
respiration. What is included in D in the diagram above? Choose ALL that apply.
A) water
B) oxygen glucose
D) sunlight
E) carbon dioxide
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Which are examples of strategies used to win civil rights in the south in the 1960s? select three options. organizing sit-ins at lunch counters marching from one city to another holding violent protest marches hosting public gatherings moving to other parts of the country jailing white supremacists
The three examples of strategies used to win civil rights in the South in the 1960s include the following:
organizing sit-ins at lunch counters.marching from one city to another.hosting public gatherings.What is a Civil Rights movement?Civil Rights movement can be defined as a political and social campaign that was established in 1954 which comprises various activists and other group of people, in order to abolish institutional discrimination, racial segregation, and disenfranchisement of voters within the United States of America.
Based on historical records and information, there are various strategies that were adopted in the South in the 1960s in order to win the civil rights and it includes the following:
The organization of sit-ins at lunch counters.The organization of marches from city to city in the South.Public gatherings were hosted.Read more on civil rights here: https://brainly.com/question/14274154
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Answer:
A: organizing sit-ins at lunch counters.
B: marching from one city to another.
D: hosting public gatherings.
Explanation:
In negative self talk, polarizing is when a person _______. A. Focuses only on their problems, ignoring their successes b. Blames themselves for every problem, whether it was their fault or not c. Believes that every situation will end badly d. See themselves as a failure for not living up to impossible standards please select the best answer from the choices provided a b c d
Answer:
its d
Explanation:
took test
Manny is using a computer model to investigate the effects of substitution mutations. The model presents manny with a long base sequence for a gene. Manny then selects one base for a mutation, such as by substituting cytosine, "c", for adenine, "a". Manny completes many trials of mutations. In most trials, the result of the substitution mutation is either no effect, or a polypeptide in which one amino acid is altered. In one trial, however, the result is a truncated polypeptide. Many of its terminal amino acids are missing. What is the most likely explanation for the truncated polypeptide
The truncated polypeptide results in the computer simulations performed by Manny can be found with the alteration in the gene structure and the formation of the stop codon in between the chain sequence.
What is truncated polypeptide?The truncated polypeptide is the sequence of the amino acid that is modified in a way to enable the formation of the tertiary and the quaternary structure of the protein.
The truncation in the polypeptide chain can be attained with the alteration in the gene structure. The attempts of Manny to perform the substitution mutation may result in the change in the cytosine nucleotide at the C or the N terminal of the polypeptide chain.
This results in the formation of the termination in the elongation with the stop codon, and thereby forms the truncated polypeptide.
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During a rainfall, the depth of water in a rain gauge increases at a rate modeled by r(t)=0.5+tcos(πt380) r ( t ) = 0.5 + t cos ( π t 3 80 ) , where t is the time in hours since the start of the rainfall and r (t) r ( t ) is measured in centimeters per hour. how much did the depth of water in the rain gauge increase from t = 0 t = 0 to t = 3 t = 3 hours?
The function r(t)= 0.5 + t cos(πt³/80) is an illustration of a cosine function
The depth of water in the rain gauge increases by 1.466cm from t = 0 to t = 3
How to determine the increase in water depth?The function is given as:
r(t)= 0.5 + t cos(πt³/80)
When t = 0, the depth of water is:
r(0)= 0.5 + 0 * cos(π *0³/80)
Evaluate
r(0) = 0.5
When t = 3, the depth of water is:
r(3)= 0.5 + 3 * cos(π *3³/80)
Evaluate
r(3)= 1.966
Calculate the difference (d) in the depths
d = r(3) - r(0)
So, we have:
d = 1.966 - 0.5
Evaluate
d = 1.466
Hence, the depth of water in the rain gauge increases by 1.466cm from t = 0 to t = 3
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Which historical event is this passage most reminiscent of? bloody sunday the bolshevik revolution the rise of lenin collectivization
Answer:
A.Bloody Sunday
Explanation:
A teacher bought markers at a cost of $3 per set. The teacher had a $2-off coupon to use toward the total cost of the markers bought
Answer: A
Explanation:
if we look at the chart for A,
in the first row...
we see that the teacher brought 3 sets of markers.
If 1 set is $3, then 3 sets is $9 (<-- 3*3).
Now we know that the teacher has a $2-off coupon, so 9 - 2 = $7
we will repeat this with 12 sets
in the third row...
If 1 set is $3, then 12 sets is $36 (<--12*3)
We will use now the teacher's $2-off coupon, so 36 - 2 = $34
these values are correctly shown on chart A, therefore the correct answer is
A.Select the correct answer from the drop-down menu. the scatter plot shows the population of napa county from 1970 through 2010. there is association between the population of napa county and the year.
Answer:
A Positive
Explanation:
I got the question right on the test.
Answer:
A positive
Explanation:
As the y increases, the x increases as well
whats an elevator pitch?
Answer:
Elevator pitch (also known as an elevator speech) is a short, persuasive speech you use to introduce yourself, your product, or your company. Its purpose is to explain the concept quickly and clearly to spark interest in who you are and what you do. An elevator pitch should be 30-seconds long at maximum: short enough to get your message across anytime and anywhere—even during a quick elevator ride (hence the name).
Explanation:
Hope this helps :)
You can read more aobut it from the source I used: https://zety.com/blog/elevator-pitch
A person has a 30 percent chance of winning on a scratch-off lottery ticket. what is the probability she first wins of the fifth ticket?
Answer: Hi! To anyone who may need the answer it should be:
(0.70)^4 (0.30)
Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. the angle of elevation of the tree from one position on a flat path from the tree is and from a second position farther along this path it is what is the height of the tree?
The height of the tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.
What is right angle triangle property?In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.
[tex]\tan\theta=\dfrac{b}{a}[/tex]
Here, (b) is the opposite side, (a) is the base side.
Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence.
The angle of elevation of the tree from one position on a flat path from the tree is
[tex]H=40^o[/tex]
From a second position,
[tex]I=60\rm\; ft[/tex]
Farther along this path it is,
[tex]b=30^o[/tex]
Let the distance between tree and first position is x. Thus, from the trigonometry,
[tex]\tan 40=\dfrac{h}{x}\\h=x\tan 40[/tex] ....1
The distance between tree and second position is (x+60) ft. Thus, again from the trigonometry,
[tex]\tan 30=\dfrac{h}{x+60}\\h=(x+60)\tan 40[/tex] ......2
Compare the equation 1 and 2,
[tex]x\tan (40)=(x+60)\tan 30\\0.839x=0.577x+34.64\\0.839x-0.577x=34.64\\x=\dfrac{34.64}{0.262}\\x=132.25\rm\; ft[/tex]
Put this value in equation 1 as,
[tex]h=(132.25)\times \tan40\\h\approx111\rm\;ft[/tex]
Thus, the height of the tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.
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What occurs when a catalyst is added to a chemical reaction?
Answer:
A catalyst is a substance that can be added to a reaction to increase the reaction rate without getting consumed in the process.
What are the dimensions of the rectangle? 8 by 5 10 by 4 11 by 9 13 by 7
The dimensions of a rectangle with an area of 40 square units and the length is 6 more than the width is 10 by 4.
Area of a rectanglearea of a rectangle = lw
where
l = lengthw = widthTherefore,
area = 40 square units
The length is 6 unit greater than the width. Hence,
l = 6 + w
Therefore,
40 = w(6 + w)
40 = 6w + w²
w² + 6w - 40 = 0
w² - 4w + 10w - 40 = 0
w(w - 4) + 10(w - 4) = 0
(w + 10)(w - 4) = 0
w = - 10 or 4
We can only use the positive number.
Hence,
w = 4 units
l = 6 + 4 = 10 units
The dimension are 10 by 4.
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Answer: 10 by 4
Explanation:
Explain how to write an inequality to model the problem. The winning baseball team scored more than 5 runs
Answer: Any number higher than 5. It could be 6, 7, 8 anything and you would write it like 5 < 6 or 5 < 7. Anything like that.
Explanation:
It could be anything higher than 5 because it said the team scored more than 5 points.
Answer:
Identify the variable as the number of runs. Identify the inequality symbol needed as greater than. Identify the constant as 5 runs. Write the inequality as r > 5.
Explanation:
Introductory blurbs often contain valuable information. They'll always provide basic information about the passage, like title and author name, but they can also contain important definitions or pieces of useful background knowledge.
Based on the definitions provided in this introductory blurb, which of the following is true?
Choose 1 answer:
symbiosis is always mutually beneficial
symbiosis is not always mutually beneficial
Answer: symbiosis is not always mutually
Explanation:
Introductory blurbs often contain valuable information. They'll always provide basic information about the passage, like title and author name, but they can also contain important definitions or pieces of useful background knowledge.
A homogeneous mixture can be separated by all of the following methods except
A homogeneous mixture cannot be separated by the method of filteration because the components of the mixture are indispensible to each other.
What is a homogeneous mixture?A homogenous mixture is the combination or the mitxture of gases, solids, or liquids that are made up of an adequate proportion of each component throughout the mixture.
Therefore, filteration method cannot seperate homogenous mixture.
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How materials affect the technique in making philippine art
Answer:
Materials affect the technique used in making Philippine Art because the result of craftsmanship relies on the quality, durability, and authenticity of the materials being used. ... Every region has its own trademark of arts which makes the competition healthy that marks our talent and resourcefulness.
Which sequences are geometric? select three options. –2. 7, –9, –30, –100,. –1, 2. 5, –6. 25, 15. 625,. 9. 1, 9. 2, 9. 3, 9. 4,. 8, 0. 8, 0. 08, 0. 008,. 4, –4, –12, –20,
Answer:C,D,E
Explanation:
EDGE2022
An organization must have all of the following except _____________. A. Structure b. A group of people c. Many employees d. Compatible goals please select the best answer from the choices provided a b c d
The writer is considering adding the following sentence after sentence 13. Due to ethical considerations, sun and vazire did not release the audio files they collected, but they did make some transcripts available. Should the writer make this addition after sentence 13 ?
Answer:
The statement that best fit the writer addition after sentence 13 is No, because it detracts from the discussion of the implications of the study’s findings and thus interrupts the flow of the passage’s conclusion.
Explanation:
Enter the balanced complete ionic equation for the potentially unbalanced equation hcl(aq)+k2co3(aq)→h2o(l)+co2(g)+kcl(aq).
What are the symbols used to find the volume of a cylinder
Hi i believe the symbols used are:
πr2h.
---
Hope this helps you!
A capacitor has a capacitance of 2.00 pf. how much charge is stored when the potential difference is 2.5 v?
Given the values of the capacitance of the capacitor and the potential difference, the amount of charge that is stored is 5 picoCoulombs.
Capacitance of a CapacitorThe capacitance of a capacitor is simply the ratio of the maximum charge that can be stored in a capacitor to the applied voltage across its plates.
It is expressed as;
C = Q / V
Where Q is charge and V is potential difference.
Given the data in the question;
Capacitance C = 2.00 pF = 2.0 × 10⁻¹² FPotential difference V = 2.5VAmount of charge stored Q = ?To determine the amount of charge stored, we substitute our given values into the expression above.
C = Q / V
Q = CV
Q = (2.0 × 10⁻¹² F) × 2.5V
Q = 5 × 10⁻¹²C
Q = 5pC
Therefore, given the values of the capacitance of the capacitor and the potential difference, the amount of charge that is stored is 5 picoCoulombs.
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Which phrase best describes a quality of postmodernism
Answer:
Blurring fact and fiction to find an underlying truth.
Explanation:
Stan and kenya are investigating the properties of gases in the lab. Stan has a balloon filled with helium, and kenya has a balloon filled with hydrogen. Under which condition do the gases in the two balloons have the same kinetic energy?
The condition under which the gases in the two balloons have the same kinetic energy is same temperature.
What is kinetic energy?Kinetic energy can be defined as a form of energy that is possessed by a physical object (body) due to its motion or a change in velocity (acceleration).
According to the kinetic molecular theory of gases, the condition under which the gases (helium and hydrogen) in the two balloons have the same kinetic energy is same temperature because they're in constant random motion.
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Which of these are theme statements? check all that apply.
Answer:
?
Explanation:
i dont see any themes that ur giving out sorry!
Everybody knows the name of iqbal. (change into an interrogative sentence)
The interrogative of the sentence above is '' why is the name of Iqbal common to everyone?''.
What is an interrogative sentence?This is known to be a type of sentence that is often asked as a form of a question.
Note that an Interrogative sentences often comes in a direct or indirect manner such as why is the name of Iqbal common to everyone?
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How does gladwell develop readers' understanding of ladue's plans to commit a school shooting?
Gladwell interviewed students at LaDue’s school and pieced together a timeline to explain the events leading up to the school shooting.
What is the theme of the story?From the story title Thresholds of violence written by malcolm gladwell, we see a narrative about school shootings with a series of timelines of events.
Now, there were a series of interviews with the school students and there was a final police report where David LaDue also spoke of an incident when Austin Walters and John LaDue had gone deer hunting. John had reportedly shot a deer that had not died right away and had to be “finished off.”
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What are the active theater groups in the philippines specializing in original written in filipino
Answer:
Some active theater groups in the philippines specializing in original written in filipino are as given below:-
Gantimpala Theater FoundationTriumphant Peoples Evangelistic Theatre SocietyPhilippine Educational Theater Association Dulaang Unibersidad ng PilipinaTanghalang AteneoTeatro Tomasino.Explanation:
#hope it helped ya!!
How does the text develop the idea that getting less sleep likely has a negative impact on teenagers' mental health?
The idea that getting less sleep likely has a negative impact on teenagers' mental health because it reduce mental capacity of teenagers.
What is Mental health?Mental health serves as the cognitive as well as behavioral, and emotional well-being of individuals which control how people think and feel.
Therefore, based in research, Teenages that get less sleeping hours do have low mental capacity.
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