The true statement about the directrix is that each directrix of this ellipse is 31.25 units from the center on the major axis.
How to determine the distance of the directrix?The equation of the ellipse is given as:
[tex]\frac{(x - 5)^2}{625} -\frac{(y - 4)^2}{225} =1[/tex]
The above means that:
a^2 = 625
a = 25
b^2 = 225
b = 15
Calculate c using:
c^2 = a^2 - b^2
This gives
c^2 = 625 - 225
Evaluate the difference
c^2 = 400
Evaluate the square root
c = 20
The equation of the directrix is
x - x₀ = ± a²/c
So, we have:
x - x₀ = ± 625/20
Evaluate the quotient
x - x₀ = ± 31.25
This means that, each directrix is 31.25 units from the center on the major axis.
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Complete the concept map to compare and contrast the motor neurons in the somatic and autonomic nervous systems.
Somatic motor neurons are responsible for the electrical activity to the muscles that move at our will, in the autonomic system they innervate muscle fibers that we cannot move voluntarily.
What are the functions of the motor neurons in the somatic and autonomic nervous systems?Motor neurons in the somatic nervous system act on the skeletal muscles, so they have a transcendental role in locomotor skills.
On the other hand, motor neurons in the autonomic nervous system are responsible for innervating all those muscle fibers that we cannot move voluntarily; that is, the smooth muscles, for example, the movements of our heart.
Therefore, we can conclude that Somatic motor neurons are responsible for the electrical activity to the muscles that move at our will, in the autonomic system they innervate muscle fibers that we cannot move voluntarily.
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Luther operates an upscale restaurant in a wealthy golf club community. he actively discourages individuals who do not live in the neighborhood from making reservations even though the restaurant itself is public. luther's behavior is best described as an example of
Luther's behavior of actively discouraging certain individuals from making reservations is best described as an example of discrimination.
What is discrimination?Discrimination refers to a terminology that is primarily used to connote or describe a behavior that is characterized by an unfair and prejudicial treatment of certain individuals or group of people based on any of the following factors:
WealthSocial statusSe×ual orientationGenderAgeRace (color)In conclusion, we can deduce that Luther's behavior of actively discouraging certain individuals from making reservations is best described as an example of discrimination.
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A 5 n force is acting on the charge 6μc at any point. what is magnitude of the electric field at that point?
The magnitude of the electric field at the given point is 8.33 * 10⁵N/C.
Given the data in the question;
Electrostatic force exterted; [tex]F = 5N[/tex]Charge; [tex]q = 6uC = 6*10^{-6}C[/tex]Magnitude of electric field; [tex]E =\ ?[/tex]Electric FieldThe magnitude of electric field is simply referred to as the force per charge on a test charge.
It is expressed as;
[tex]E = \frac{F}{q}[/tex]
Here, F is electrostatic force exerted and q is the charge.
To determine the magnitude of the electric field at the given point, we substitute our given values into the expression above.
[tex]E = \frac{F}{q} \\\\E = \frac{5N}{6*10^{-6}C} \\\\E = 8.33 * 10^5N/C[/tex]
Therefore, the magnitude of the electric field at the given point is 8.33 * 10⁵N/C.
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What is the exact value of tan 30°? enter your answer, as a simplified fraction, by filling in the boxes.
Answer:
√3 / 3
Explanation:
Here,
tanx = sinx / cosx
By substituting the values , we get ,
tan ( 30 ) = 1/2
————
√3/2
Now,
By multiplying both numbers,
tan ( 30 ) = 1/√3
At Last,
Multiplying both numbers by square root 3,
tan ( 30 ) = √3/√3 * √3 = √3 / 3 . answer
Answer:
please see photo above for detailed analysis.
The united states postal service charges $0.55 to mail a first-class letter that weighs up to 1 ounce. each additional ounce costs $0.15. which equation represents the situation?
The equation that best represents the situation is =
y=0.15[x]+0.55
The equation for the postal service chargesThe amount that is charged for 1 ounce first-class letter=$0.55
The cost for any additional ounce = $0.15
Let X represent the additional ounce.
The total price which is represented by y should be=0.15[x]+0.55
Therefore, the equation that best represents the situation is y=0.15[x]+0.55
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Answer:
d
Explanation:
Consider the numerous pseudoscientific products and ideologies currently being marketed to the public, such as reiki, magnetic therapy, therapeutic touch, and homeopathy. what are the ethical concerns with the sale of these ideas to the public? should proponents of these various products and therapies be held accountable for any health concerns arising from the use of these products? what if the services or products do not cause health concerns or physical harm?
A) The ethical concerns with the sale of these ideas to the public is ;
Denial of informed choice
B) Proponents of these various products and therapies should be held accountable for any health concerns ( i.e Yes )
Pseudoscientific products and ideologiesPseudoscientific products such as reiki, magnetic therapy and therapeutic touch when used generates harmful radiations in the body which gradually damages vital internal organs in the body although homeopathy is not as harmful as other forms of treatment. Details of these treatments are not clearly given to the targeted consumer to avoid taking responsibilities of the damages.
Hence we can conclude that the answers to the question is as listed above.
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what is 94,104 divided by 12
Answer:
7841.75
Explanation:
Answer:
7841.75
Explanation:
Used a calculator
Grace thought of a number, added 7, multiplied by 3, took away 5 and divided by 4 to give an answer of 7. what was her starting number?
Answer: x=4
Explanation:
How does oiwa's work fit into the concepts of installation?
The way that oiwa's work fit into the concepts of installation is that; He inflates 360 space to immerse the viewer in his drawings.
What is the concept of the story?This question is taken from the life of a Japanese-Brazilian artist named Oscar Oiwa who created an incredible, immersive installation that brought canvas to life.
Oiwa worked only with simple black felt-tip pens and visualizes two opposite ideas or situations such as light and shadow or hot and cold.
This method entails an all-encompassing stream of consciousness that collides inside a massive bubble.
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You listen to the heart beating and you hear a ""lub-swish- dup"". the lub is caused by
Answer:
The heart sounds, "lub" and "dup," occur when the atria contract and subsequently when the ventricles contract
Explanation:
After listening to the heart beat, there is a sound that a person hears called "lub-swish- dup". This “lub” is caused when the valves close.
What does valve mean?
Throughout a system or process, a valve is a mechanical component that regulates fluid flow and pressure. By carrying out any of the following tasks, a valve regulates the flow and pressure of system or process fluids: fluid flow that is stopped and started. altering (throttling) the fluid flow's rate.
The flow coefficient (Cv) necessary for the system must be identified as the first step in determining the size of a valve. What is a CV factor? a fully open valve with a 1 pressure drop across it will allow 60°F water to pass through it at a rate of US gallons per minute.
The four heart valves that maintain proper blood flow are the mitral, tricuspid, pulmonary, and aortic valves. With each heartbeat, a leaflet (or flap) on each valve opens and closes.
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Which atom is bonded to the carbon atom in the functional group of a ketone?
For what purpose was the environmental protection agency established brainly
Answer:
The Environmental Protection Agency is an independent executive agency of the United States federal government tasked with environmental protection matters. President Richard Nixon proposed the establishment.
Explanation:
hope this helps
What is the ratio of the kinetic energy of an object of mass 3m moving at speed 2v to an object of mass m/2 moving at a speed v?
The ratio of kinetic engery between two objects having mass as 3m and m/2 along with the speed of 2v is 6.
What is kinetic energy?A kinetic energy is the engery generated by the movement or the motion of the moving objects. It is required for the acceleration of the moving body or the object.
Computation:
[tex]\begin{aligned}\dfrac{(\text{KE})_1}{(\text{KE})_2}&=\dfrac{\frac{1}{2}{m_1}\;{v_1^2}}{\frac{1}{2}{m_2}\;{v_2^2}}\\\\&=\dfrac{\frac{1}{2}{2m}\;{3v^2}}{\frac{1}{2}{3m}\;{v^2}}\\\\&=\dfrac{2\times9}{3}\\\\&=6\end{aligned}[/tex]
Therefore the ratio is 6.
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Jkl will be rotated 90 degrees clockwise around the origin to form jkl
JKL will be rotated 90 degrees clockwise around the origin to form J'K'L' using the rule (x, y) ⇒ (y, -x).
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
JKL will be rotated 90 degrees clockwise around the origin to form J'K'L' using the rule (x, y) ⇒ (y, -x).
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A galvanic (voltaic) cell consists of an electrode composed of nickel in a 1.0 m nickel(ii) ion solution and another electrode composed of silver in a 1.0 m silver ion solution, connected by a salt bridge. calculate the standard potential for this cell at 25 °c. refer to the list of standard reduction potentials.
What does lady bracknell say that makes light of marriage in this excerpt
Answer:
um is there supposed to be text?
Explanation:
Choose the best translation of the following sentence. for a girl, she's really tall. por ser chuica, es muy alta. para ser una chica, es muy alta.
The best translation of the sentence "for a girl, she's really tall" in Spanish is "Para ser chica, es muy alta".
What is Spanish language?Spanish language is a language spoken by the Spanish people (citizens of Spain). It has its origin from Latin words and it is spoken by over 500 million people all over the world.
The sentence, "for a girl, she's really tall" is speaking about a girl who has a tall height compared to other girls. The girl is having a gigantic height that can't be likened to other girls.
Therefore, the best translation of the sentence "for a girl, she's really tall" in Spanish is "Para ser chica, es muy alta".
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Answer:
Para ser una chica, es muy alta.
Explanation:
B
Calculate the average change of dissolved oxygen per year in the lake over the course of the study
The average change of dissolved oxygen per year in the lake over the course of the study is; 0.11 mg/L
What is dissolved oxygen?Dissolved oxygen is defined as the amount of oxygen gas that is present dissolved in a given volume of water as a solution.
Dissolved oxygen is very important for aquatic animals as it provides the main source of oxygen required for respiration by these animals.
Due to human activities arising from water pollution and heating of water bodies, the amount of dissolved oxygen in water bodies is on the decrease.
To calculate the average change of dissolved oxygen per year in a particular lake, the formula is;
Average change of dissolved oxygen per year = total change over the years/total number of year
Average change of dissolved oxygen per year = (8.6 mg/L - 3.3 mg/L)/(2014 - 1965) = 0.11 mg/L
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If you suspect your boss of unethical behavior, your first step should be to ______. a. document everything that happens b. begin to look for a new job c. confront your boss immediately d. go immediately to upper management please select the best answer from the choices provided a b c d
Answer:
a. document everything that happens
Explanation:
When suspecting your boss of unethical behavior, it is important to gather evidence and document any incidents or observations that support your suspicions. This documentation will be valuable if you need to address the issue later with higher authorities, such as human resources or upper management.
Which phrase best paraphrases the underlined text in the passage? stars so far away stars so small stars so close stars so large
Answer:
Stars so small
Explanation:
Jiminy’s cricket farm issued a 30-year, 6 percent semiannual bond three years ago. the bond currently sells for 93 percent of its face value. the book value of the debt issue is $95 million. in addition, the company has a second debt issue on the market, a zero coupon bond with eight years left to maturity; the book value of this issue is $40 million, and the bonds sell for 67 percent of par. the company’s tax rate is 22 percent. a. what is the company’s total book value of debt? (enter your answer in dollars, not millions of dollars, e.g. 1,234,567.) b. what is the company’s total market value of debt? (enter your answer in dollars, not millions of dollars, e.g. 1,234,567.) c. what is your best estimate of the aftertax cost of debt? (do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
The company’s total book value of debt is $135,000,000 and the company’s total market value of debt is :$115,150,000.
Total book value of debt and Total market value of debt
a. Book value of debts
Book value of debts=Book value of debt issue+Book value of this issue
Book value of debts= $95,000,000 + $40,000,000
Book value of debtsB =$135,000,000
b. Total market value of debt
Total market value of debt=[(.93)($95,000,000) + (.67)($40,000,000)]
Total market value of debt= $88,350,000+$26,800,000
Total market value of debt= $115,150,000
Therefore the company’s total book value of debt is $135,000,000 and the company’s total market value of debt is :$115,150,000.
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Why should i wrap my door knobs in aluminum foil when i'm home alone
The reason why one should wrap a door knobs in aluminum foil when one is home alone is to hinder (prevent) the door from latching.
What is the use of aluminum foil?An Aluminum foil is known to be a type of foil that helps to give a surface or object a form of full barrier against light, oxygen, etc.
Note that the foil is often used in food and also in pharmaceutical and the reason why one should wrap a door knobs in aluminum foil when one is home alone is to hinder (prevent) the door from latching.
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Which type of program is the spanish equivalent of a soap opera
Answer:
Telenovela
Explanation:
A telenovela is a type of a television serial drama or soap opera produced primarily in Latin America.
[The word combines tele (for "television") and novela (meaning "novel") ]
Which undefined term is used to define a ray? plane circle angle line
The undefined term that is used to define and describe a ray is called line.
What is a ray in Geometry?In Geometry, a ray is that part of a line that has a determinate initial starting point but no terminal endpoint. The ray is usually used in vector forms to identify points, in which one of the points is fixed and the other is infinite.
An example of a ray can be seen from the light that emanates from the sun. The symbol used for the identification of ray is: →
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Which best explains why companies use celebrities to endorse their products? to develop a brand to copy other companies to influence consumers to justify a quality claim
Answer:
its C
Explanation:
or is it
Answer:
CCCc
Explanation:
Fill in the table of values for the equation y=2-x
Answer:
if x=0
then y=2
if x=1
then y=1
if x=2
then y=0
Based on the audio, what made the natural disaster worse after the disaster? the showers the smoke the storm the wind
Based on the audio recording, the smoke made the natural disaster worse after it ended.
What is a natural disaster?A natural disaster refers to a natural occurrence that is beyond human control. Also, it's typically characterized by injuries, death or severe damage to both the living and non-living organisms staying within the impacted environment.
Based on the audio recording, we can deduce that a wildfire occured and as such the smoke produced thereafter, made the natural disaster worse even after it ended.
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Answer:
The Smoke
Explanation:
i got it right on flvs
Determine the ratio of offspring with the described trait to the total number of offspring:unattached earlobes and cleft chin :unattached earlobes and no cleft :attached earlobes and cleft chin :attached earlobes and no cleft :
Introduction to linear algebra 5th edition solutions pdf
Answer:
What is your questions? What do you need help on? Ive taken algebra but what pdf do u mention?
What x values are not included in the domain of the quotient of two functions
Any x value that makes the denominator equal to 0
Explanation:Rational Functions
The quotient of two functions can be rewritten as a rational function. All rational functions have discontinuities in the domain where the denominator equals 0. For this to make sense, remember that anything divided by 0 is undefined.
Examples
To show this idea, I will use the example [tex]\frac{x^3-2}{x+3}[/tex]. For this rational function or quotient of two functions, the x value -3 is not included in the domain. This is due to the fact that when x=-3, the denominator is equal to 0. Thus, the function is undefined at this value.