The algebra shows that the line ax + y + c is perpendicular to the line x - by = d, then a/b = 1.
How to solve the algebra?Firstly, write the equations of line in the slope intercept form. The equation ax + y = can be rewritten as y = ax + c. The slope of the line is m = a.
The equation x - by = d can be written as y = 1/bx - d/b. Therefore, the second slope will be 1/b.
Then, we multiply the slopes. Therefore, (-a)(1/b) = -1.
In conclusion, a/b = 1.
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One of the largest quakes ever recorded in modern times took place in southern Chile and measured 9.5 on the Richter scale.
What does the Richter scale measure?
The Richter scale measures the largest wiggle (amplitude) on the recording, but other magnitude scales measure different parts of the earthquake. The USGS currently reports earthquake magnitudes using the Moment Magnitude scale, though many other magnitudes are calculated for research and comparison purposes.
Imagine that we randomly select a day from the past 10 years
Answer:
which day will you select?:-)
Among all pairs of numbers whose difference is 14 find a pair whose product is as small as possible
The pair two numbers whose difference is 14 and the product is as small as possible (i.e. -49) are (-7,7)
What are word problems?In mathematical concepts, word problems involve a crucial understanding of the problem and knowing which mathematical method and arithmetic operations are best suited to solving the problem.
If we assume that the smaller number should be = a and the larger number = a + 14.
Thus, their product (X) can be expressed as:
= a(a+14)
= a² + 14a
The smallest possible value implies the minimum value, i.e.
[tex]\mathbf{\dfrac{dX}{da} = 2a + 14}[/tex]
Thus,
2a + 14 = 0
a = - 14/2
a = -7
Therefore, we can conclude that the pair of two numbers whose difference is 14 and the product is as small as possible (i.e. -49) is (-7,7).
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Drag the numbers to put the following steps in the correct order
Answer:
Can you put the steps in the question or is it a trick ❓
A person has parents with high cholesterol. how will this impact the person's risk of developing a blood disease? brainly
Answer:
The person will have a higher risk for atherosclerosis regardless of his current or past lifestyle choices.
Explanation:
The person will have a higher risk for atherosclerosis regardless of his current or past lifestyle choices.
What is Lifestyle choices?
The phrase "lifestyle choices" is presumably something you've previously heard of before I said it a minute ago. A lifestyle decision is a conscious, individual decision to engage in a behaviour that may raise or lower the risk of illness or damage.
You have undoubtedly already chosen your lifestyle. You made a wise lifestyle decision to improve your physical health if you ride your bicycle for exercise every morning.
If you decide against drinking alcohol, you are making a decision to forgo potentially dangerous outcomes like a driving accident or internal organ damage, such as liver disease.
Therefore, The person will have a higher risk for atherosclerosis regardless of his current or past lifestyle choices.
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Use the mean value theorem to prove the inequality
Answer:
Proving inequalities, you often have to introduce one or more additional terms that fall between the two you're already looking at. This often means taking away or adding something, such that a third term slides in. Always check your textbook for inequalities you're supposed to know and see if any of them seem useful.
Of the 10,000 clocks from which the sample was chosen, about how many clocks are probably not defective?
The number of clocks that are not defective is an illustration of proportions
Of the 10000 clocks, 9250 are probably not defective
How to determine the number of clocks that are not defective?From the complete question, we have the following parameter:
15 out of 200 clocks are defective
The above means that the number of clocks that are not defective is:
Not defective = 200 - 15
Not defective = 185
Express as percentage
Not defective = 185/200
Not defective = 92.5%
In 10,000 the number of clocks that are not defective would be:
Not defective = 92.5% * 10000
Not defective = 9250
Hence, 9250 of the 10000 clocks are probably not defective
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Elaborate on whether this lewis structure represents an element or a compound.
Answer:
compound
Explanation:
its has two atoms
Choose the best answer. If i'm very good with numbers, which career should i probably choose? agricultor artista contador cantante
Answer:
contador
Explanation:
Answer:
i seak a littl spanish so contador is correct.
Explanation:
visibility is restricted due to fog. what should the vessel operator do to avoid the risk of a collision?
Answer:
Unless a risk of collision does not exist, an operator who hears the fog signal of another vessel ahead, is in a close-quarters situation with another vessel ahead, or detects the presence of another vessel by radar must reduce speed to the minimum at which the vessel can be kept on course.
Four-year-old rebecca states that the two lines in set a have the same number of dots but that the second line in set b has more dots than the first line has. rebecca’s inability to report that the two rows in set b contain the same number of dots reflects a lack of
An inability to report that the two (2) rows in set B contain the same number of dots by Rebecca reflects a lack of conservation.
What is cognitive development?Cognitive development refers to the development of learning skills, thought processes, knowledge and problem-solving abilities in living organisms such as humans, especially from infancy through adulthood.
In Psychology, conservation can be defined as a logical thinking ability that allows a living organism to understand that physical quantities such as lines, doesn't change in amount even when their appearance are altered.
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8-1 find a place to live financial algebra answers
An example of 8-1 financial algebra question is in stock market, what does the term Perspiration implies.
The term perspirations connote sweating or hard work.
What does financial algebra implies?The term Financial Algebra is known to be a type of course that is designed for student so as to have a good foundation in logical thinking and problem solving that will help them to make good decisions regarding money and finance.
The term perspirations connote sweating or hard work and as such, using the stock market definition, it implies that one being a genius is not just all about having good ideas, but it entails working hard and also having good idea along with it.
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which of the following is an effect of norepinephrine binding to beta 2 adrenergic receptors?
The effect of norepinephrine binding to beta 2 adrenergic receptors lead to vasodilation.
What is vasodilation?Vasodilation can be defined as the process in which the blood vessels enlarges because the blood vessel is inactive.
Vasolidation can occur due to the following:
ExerciseSide effect of medicationBody temperature etcTherefore when the norepinephrine is binding the blood vessels lead to what is called vasodilation.
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Kylie has been practicing repeating phrases such as, "i know i don’t wear the latest fashions, but i am comfortable. surely others feel like i do." her boss has also told her to consider meditation as it can help her practice these
Her boss has also told her to use meditation as it can help her practice self-affirmations.
What is self-affirmation?The term Self-affirmation is known to be some kind of words or that which helps and boasts a person's morale to think positively about the the key things in their life.
It is one that encourages people to think the right things about the the key areas of things in their life, such as family, career, or hobbies.
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How many ways are there to assign three jobs to five employees if each employee can be given more than one job?
The number of ways to assign three jobs to five employees if each employee can be given more than one job is 125 ways.
What does an assigned job implies?The term means the act of giving any duty or any assignment to a person, People are often assign to different jobs in the office.
Note that there are 3 jobs and 5 employees. So the equation will be
5³ =125
So, therefore, there are 125 ways to assign the job.
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Cross out the part of the concept circle that does not belong
Answer:
Can you post a picture or sum
Explanation:
According to lamarck’s theory of evolution, organisms change during their lifetime to survive then pass these changes to their offspring. what supports the hypothesis of lamarck?
Answer:
Lamarckism, a theory of evolution based on the principle that physical changes in organisms during their lifetime—such as greater development of an organ or a part through increased use—could be transmitted to their offspring.
Write each number in standard notation. see example. example 2.7 × 10− 6
A bag contains 6 red marbles, 4 blue marbles, 7 green marbles, and 3 yellow marbles
Answer:
20 marbles
Explanation:
6 red marbles
4 blue marbles
7 green marbles
3 yellow marbles
6+4+7+3=20sally really loves being outdoors. she likes to hike, do yoga in the warm sun, and go for long camping trips. she and her wife move to arizona from new york so that they can enjoy these activities in warmer weather for most of the year. this process of moving to an area that is most suited for one’s personality tendencies is called selective ________.
According to rational-emotive behavior therapists, the source of much unhappiness is the individual’s
Rational-emotive behavior therapists propose to review the thought patterns associated with emotional discomfort where the source of much unhappiness is the individual's system of inappropriate beliefs.
What is the rational-emotive-behavioral approach?It is an approach that considers that behavioral and emotional problems could have their genesis from three sources: thought, emotional and behavioral.
This affirmed that people are largely responsible for their disturbed feelings, therefore, those same people have all the resources to be able to modify their thoughts and bring lasting and stable states to their lives.
Therefore, we can conclude that rational-emotive behavior therapists propose to review the thought patterns associated with emotional discomfort where the source of much unhappiness is the individual's system of inappropriate beliefs.
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The lengths of the diagonals of a rhombus are 18 and 24
The length of each of the sides of the rhombus is 15.
This question is incomplete, the complete question is:
The length of the diagonals of a rhombus are 18 and 24. Find the length of each side of the rhombus
Given the data in the question;
Diagonal 1 of the rhombus; [tex]p = 18[/tex]Diagonal 2 of the rhombus; [tex]q = 24[/tex]Length of each side of the rhombus; [tex]a = \ ?[/tex]RhombusA Rhombus is simply a quadrilateral whose four sides are all equal in length i.e its an equilateral quadrilateral.
Now, to determine the length of each sides of the rhombus, we create ab expression from Pythagoras theorem:
[tex]a = \frac{\sqrt{p^2+q^2} }{2}[/tex]
Where a is the length of the sides and pq are the diagonals.
We substitute our given values into the expression above.
[tex]a = \frac{\sqrt{p^2 + q^2} }{2} \\\\a = \frac{\sqrt{18^2 + 24^2} }{2}\\ \\a = \frac{\sqrt{324 + 576} }{2}\\ \\a = \frac{\sqrt{900} }{2}\\ \\a = \frac{30}{2}\\ \\a = 15[/tex]
Therefore, the length of each of the sides of the rhombus is 15.
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Suppose that the rabbit population on mr. jenkins' farm follows the formula
Jenkins' farm tracks the procedure p(t)=3000tt+1. where t≥0 is the period (in months) since the start of the year.
As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.
We have,
Given formula: p(t) = 300t / (t + 1)
As time (t) increases, the denominator (t + 1) also increases.
The rabbit population (p(t)) is calculated by dividing 300t by (t + 1).
Now, let's examine the behaviour as t becomes larger:
When t is very small (close to 0), the population p(t) is also small, since the denominator (t + 1) is close to 1.
As t increases, the denominator (t + 1) grows, causing the value of p(t) to increase.
However, the rate of increase slows down as t gets larger.
This is because the denominator grows faster than the numerator (300t).
Eventually, as t becomes very large, the value of p(t) approaches but never quite reaches a maximum value.
This behaviour is characteristic of a rational function where the numerator's growth is outpaced by the denominator's growth, resulting in an asymptotic approach to a certain value.
Thus,
As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.
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The complete question:
Population Growth Suppose that the rabbit population on Mr. Jenkins’ farm follows the formula p(t) = 300t / (t + 1)
where t ≥ 0 is the time in months since the beginning of the year.
(a) Draw a graph of the rabbit population.
(b) What eventually happens to the rabbit populations.
Choose the best spanish word to complete the sentence. ________ (speak) más despacio, por favor.
Answer:
Habla
Explanation:
Habla means to speak.
A project whose positive exceed its is more likely to be enacted that one that is the opposite
It is true that a project whose positive exceeds its negative is more likely to be enacted than one that is the opposite.
What does project means?A project is defined as a sequence of tasks that must be completed to attain a certain outcome. The aim of any project should be to infuse positivity and valuable contributions to society.
If the pros of a project exceed its cons, it will most likely be accepted and utilized because of the usefulness it serves.
Hence, it is true that a project whose positive exceeds its negative will be more likely to be enacted.
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a team of programmers is designing software. one portion of the project presents a problem for which there is not an obvious solution. after some research, the team determines that the problem is undecidable. which of the following best explains the consequence of the problem being undecidable?
The option that best explains the consequence of the problem being undecidable is there is no possible algorithm that can be used to solve all instances of the problem.
What does it imply if a problem is undecidable?An undecidable problem is known to be a kind of problem where people or a person does not know if a "yes" or "no" answer, will be the most appropriate.
In the above context, when a response is undecided, it can lead to no possible algorithm that can be employed in the handling of all cases regarding all issues of the problem.
See options below
A. The problem can be solved algorithmically, but it will require an unreasonably long amount of time.
B. The problem can be solved algorithmically, but it will require an unreasonably large amount of data storage.
C. There is no possible algorithm that can be used to solve all instances of the problem.
D. There are several different possible algorithms that can solve the problem, but there is controversy about which is the most efficient.
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A company profit of $20,000 decreases by 13.4% each year.
Answer: Her return on investment is 20%
2. $40,000
Explanation:
20.1 justifying circumference and area of a circle answers
Answer:
c=2pir and A=2pir its answer i think so
A driver of a 1 000 kg jeepney travelling at a speed of 16,7 m/s bound for divisoria applies the car's brakes when he sees a red light along recto avenue. the car's brakes provide a frictional force of 8 000 n. determine the stopping distance of the car.
The stopping Distance of the Car with the given parameters is; 17.43 m
What is the stopping sight distance?
We are given;
mass; m = 1 000 kg
speed; u = 16.7 m/s
Frictional force; F = 8000 N
distance, s = ?
final velocity = 0 m/s (car stops)
Formula for final velocity is;
v² = u² + 2as
but a = negative (deceleration)
And F = ma
Thus;
a = F/m = 8000/1000
a = 8 m/s²
Thus;
0 = (16.7)² - 2(8)(s)
278.89 = 16s
s = 17.43 m
Stopping distance = 17.43 m
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Find the limit. use l’hospital’s rule where appropriate. if there is a more elementary method, consider using it. if l’hospital’s rule doesn’t apply, explain why.
The l’hospital’s rule states that when the limit of f(x)/g(x) is intermediate, it can be obtained by evaluating the limit of the quotient of the derivatives of f and g.
What is l’hospital’s rule?Your information is incomplete as the figures aren't given. Therefore an overview will be given.
It should be noted that l’hospital’s rule simply tells us that we've an intermediate value.
In this case, the l’hospital’s rule states that when the limit of f(x)/g(x) is intermediate, it can be obtained by evaluating the limit of the quotient of the derivatives of f and g. When the result is intermediate, the process can be repeated.
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