Answer:
I. x = -3
II. y = -2
Explanation:
Given the following algebraic equation;
[tex] -6x + 5y = 8 [/tex] .........equation 1
[tex] 2x - 4y = 2 [/tex] ..........equation 2
We would solve the algebraic equation using the substitution method
From equation 1;
[tex] 5y = 8 + 6x [/tex]
[tex] y = \frac {8 + 6x}{5} [/tex] .....equation 3
Substituting eqn 3 into eqn 2, we have;
[tex] 2x - 4(\frac {8 + 6x}{5}) = 2 [/tex]
[tex] 2x - \frac{32 + 24x}{5} = 2 [/tex]
Multiplying all through by 5
[tex] 10x - 32 - 24x = 10 [/tex]
Rearranging the equation, we have:
[tex] 10x - 24x = 10 + 32 [/tex]
[tex] -14x = 42[/tex]
[tex] x = \frac {-42}{14} [/tex]
x = -3
Next we find the value of y;
From eqn 3;
[tex] y = \frac {8 + 6x}{5} [/tex]
Substituting the value of "x" into the equation, we have;
[tex] y = \frac {8 + 6*(-3)}{5} [/tex]
[tex] y = \frac {8 - 18}{5} [/tex]
[tex] y = \frac {-10}{5} [/tex]
y = -2
The half-life of carbon-14 is about 5700 years. If you left those 100 carbon-14 atoms to sit around for 5700 years, how many would you expect to decay during that time?
Answer:
50 atoms have decayed during that time
Explanation:
The radioactive decay is represented as
[tex]N = N_0 * \frac{1}{2}^X\\[/tex]
Where N is the amount of radioactive element after a certain time period
N0 is the amount of radioactive element during the initial time period
X is the half life of the radioactive element
Substituting the given values in above equation, we get:
[tex]N = 100 * \frac{1}{2}^1\\N = 50[/tex]atoms
So, 50 atoms of carbon-14 remain are left after decaying for 5700 years.
Hence, atoms of carbon-14 that decay during 5700 years are 100-50 - 50
An ancient Greek physician believed performing lobotomies helped release inner spirits that caused mental illness. T or f
Answer:
It is false on edge. Good luck with the test
Interventions in mental health and art therapy followed the initial taxonomy of mental diseases put out by Hippocrates.
What Greek physician believed performing lobotomies?The idea of stigma was initially expressed by the ancient Greeks, who noted that those with mental disease were frequently shunned, imprisoned, or, in very rare cases, executed.
People around persons with diseases that affected their conduct frequently avoided and dreaded them.
Every symptom was believed to be brought on by a certain deity, who, if prayed to, could kindly cure it. A holy symbol projected and gathered the human passions, the emotional pain caused by endopsychic conflicts, and the various mental disorders.
Therefore, it is false that An ancient Greek physician believed performing lobotomies helped release inner spirits that caused mental illness.
Learn more about Greek physician here:
https://brainly.com/question/6499189
#SPJ5
Give two differences between Artificial and Natural Selection.
Answer:
Natural selection and selective breeding can both cause changes in animals and plants. The difference between the two is that natural selection happens naturally, but selective breeding only occurs when humans intervene. For this reason selective breeding is sometimes called artificial selection
A consulting agency reports that only 30\%30%30, percent of a company's website users can successfully use a certain feature of the website. Skeptical of this claim, one of the website developers takes a simple random sample of 150150150 of the company's approximately 800080008000 users and tests whether they can use the feature successfully. The developer finds that 36\%36%36, percent of the sampled users use the feature successfully.
Assuming the agency's 30\%30%30, percent claim is correct, what is the approximate probability that more than 36\%36%36, percent of the sample would use the feature successfully?
Answer:
.36
.05
Explanation:
1) The probability is 0.0076
2) The probability is 0.2775
3) Yes it is reasonable because it indicates is that the igniters are more successful than already thought or it would be close to impossible to get those same results by chance.
How to find the probability?1) We are told that the overall failure rate which is the percent of all igniters that fail to operate correctly is 15 percent = 0.15\.
Thus, percentage of success = 85% = 0.85
The probability that the first 30 super igniters selected using the testing process successfully launch rockets is P(X = 30) = (0.85)³⁰
= 0.0076
2) Given that the first 30 super igniters successfully launch rockets, the probability that the 1st failure occurs on the 31st or the 32nd super igniter tested if the failure rate of the super igniters is 15 percent is;
P(Y = 31)/P(X = 30) + P(Y = 32)/P(X = 30)
= [(0.15 * 0.85³⁰)/0.85³⁰] + [(0.15 * 0.85³¹)/0.85³⁰]
= 0.2775
The probability in answer 1 above indicates is that the igniters are more successful than already thought or it would be close to impossible to get those same results by chance.
Therefore, 1) The probability is 0.0076
2) The probability is 0.2775
3) Yes it is reasonable because it indicates is that the igniters are more successful than already thought or it would be close to impossible to get those same results by chance.
Learn more about probability on:
https://brainly.com/question/30034780
#SPJ2
All of the following are stereotypes associated with mental illness except __________.
A.
the idea that mental illness is incurable
B.
a response of anger toward someone with a mental illness
C.
the belief that individuals with mental illness are dangerous
D.
the thought that all individuals with a mental illness are not capable of living independently
Answer:
a response of anger toward someone with a mental illness
Explanation:
this action is a prejudice not a stereotype
The stereotypes do not involve the anger response towards someone who suffers from mental illness.
What is a stereotype?Stereotype refers to non-fair or not true trust where various people should be done for all kind of people or it is the things that contain same kind of attributes. It involved the idea where that mental illness should be curable. It involved the trust that mental illness should be dangerous. And, it is not capable for living in an independent way.
Therefore, option b is considered.
Learn more about mental illness here: https://brainly.com/question/413709?referrer=searchResults
Refer to the passage.
"All the scientific resources of Germany have apparently been brought into play to produce a gas of so virulent and poisonous a nature that any human being brought into contact with it is first paralyzed and then meets with a lingering and agonizing death.”
Sir John French, commander in chief of the British Expeditionary Force (BEF), 1915
Which of the following novel aspects of World War I contributed to the action described in the passage?
The Allies’ ability to attack German forces with military aircraft
The capability of British tanks to repel machine-gun fire
The attempt to block supply shipments in the Atlantic by using submarines
The stalemate and high casualties caused by trench warfare on the western front
Answer:
The stalemate and high casualties caused by trench warfare on the western front
Explanation:
Find a real-life mention of a derivative.
- The source of your quotation: The name of the publication, the date it was published, and where you found it.
- Quote the sentence or sentences that mention the derivative. If necessary, you can paraphrase material from earlier in the article to give some context for your sentences. Note that the material need not mention the word "derivative" explicitly, but instead may just talk about "change."
- Identify the derivative, as you did in the previous assignment; include units, and define all your variables.
Note any other information you think is interesting about your find. For example, what's the target audience for the periodical, and would they be surprised to know that they were brushing up against calculus? Or, what conclusions did the authors draw with the help of this derivative? Or, why is this topic of particular interest to you?
Answer:
This page in a nutshell: Summarize in your own words instead of closely paraphrasing. Closely paraphrased material that infringes on the copyright of its source material should be rewritten or deleted to avoid infringement, and to ensure that it complies with Wikipedia policy. Public domain sources and CC-BY-SA-compatible sources may be closely paraphrased, and limited close paraphrasing of copyrighted sources may also be permitted as fair use. Attribution is always required.
For information on copy and pasting text, see Wikipedia:Copying text from other sources.
Close paraphrasing is the superficial modification of material from another source. Editors should generally summarize source material in their own words, adding inline citations as required by the sourcing policy.
Limited close paraphrasing is appropriate within reason, as is quoting, so long as the material is clearly attributed in the text – for example, by adding "John Smith wrote ...", together with a footnote containing the citation at the end of the clause, sentence or paragraph. Limited close paraphrasing is also appropriate if there are only a limited number of ways to say the same thing.
Close paraphrasing without in-text attribution may constitute plagiarism, and when extensive (with or without in-text attribution) may also violate Wikipedia's copyright policy, which forbids Wikipedia contributors from copying an excessive amount of material directly from other sources. Public domain material must likewise be attributed to avoid plagiarism. If the source material bears a free copyright license that is compatible with Wikipedia's licenses, copying or closely paraphrasing it is not a copyright violation so long as the source is attributed somewhere in the article, usually at the end.
The best way to prevent close paraphrasing is to understand clearly when it is a problem, how to avoid it, and how to address it when it appears.
A rock has a mass of 100 grams and a volume of 20 cm?. What is the density of the
rock?
Density is mass per volume [tex]D=m/V[/tex]
With data: [tex]D=100/20=\boxed{5\mathrm{g/cm}}[/tex].
Hope this helps.