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Tag Archives: function

Will a quantity increasing exponentially eventually exceeds a quantity increasing as a polynomial function?

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units. We are …

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what is the verticle asymptotes of the function f(x)=3/x+5

Answer: The answer is (C) Patricia is not correct because both 3 – 4i  and -11+√2i  must be roots. Step-by-step explanation:  Given that  (-11-√2i) , (3 + 4i), and 10 are the roots of the polynomial function f(x) that Patricia is studying. We know that the complex roots of a …

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If a hospital patient is given 50 milligrams of medicine which leaves the bloodstream at 10% per hour, how many milligrams of medicine will remain in the system after 6 hours? Use the function A(t) = Iert

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units. We are …

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Given below is the odd number function which of the fallowing are equal to O(24)

The basis to respond this question are: 1) Perpedicular lines form a 90° angle between them. 2) The product of the slopes of two any perpendicular lines is – 1. So, from that basic knowledge you can analyze each option: a.Lines s and t have slopes that are opposite reciprocals. …

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Consider the quadratic function that has x-intercepts of –1 and –7 and passes through the point (–2, –20). What is the value of a in the factored form of this function?

127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7. The statement is equivalent to120=0 (mod n), meaning that n divides 120. All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0. …

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In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x2 to the number of x-intercepts in the graph of g(x)= (x+2)2 +7. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answer: False Step-by-step explanation: Suposse that we are given a function f(x) and a constant value h. 1. Case: If we take the function g(x)=f(x)+h, then the graph of the function g(x) will be the graph of the funcion f(x) moved up or down. 2.Case: If we take the function …

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Which is the equation of the power function p(x) = ax3 where p(–2) = –64? p(x) = –32×3 p(x) = –16×3 p(x) = 8×3 p(x) = –8×3

Answer: Number of copy machines must be made to minimize the unit cost=160. Step-by-step explanation: We are given that the unit cost function C ( the cost in dollars to make each copy machine) If machines are made =x Then the unit cost function is given by We have to …

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For the function h defined by h(x)=2×2−2, find h(−12)

Answer: Number of copy machines must be made to minimize the unit cost=160. Step-by-step explanation: We are given that the unit cost function C ( the cost in dollars to make each copy machine) If machines are made =x Then the unit cost function is given by We have to …

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The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function p = 120i i2 + i + 9 where i is the light intensity (measured in thousands of foot-candles). for what light intensity is p a maximum?

The given function is: P = 120 i / (i^2 + i + 9) or P = 120 i (i^2 + i + 9)^-1 The maxima point is obtained by taking the 1st derivative of the function then equating dP / di = 0: dP / di = 120 (i^2 …

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Helper t cells ________. often function to decrease the immune response release b7 proteins function in the adaptive immune system activation bind tightly to target cells and release a lymphotoxin called perforin

In tropical rain forest, the animals will have to deal with higher temperatures and greater rainfall. One example of an adaptation they might need is a thin, water-proof coat. This will prevent heat from becoming trapped inside their fur/hair/feathers, and the water-absorbing coating will allow water to stick to the …

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What is the function of mucus in the stomach?

Answer: The correct match would be: Cerebrum – responsible for speech, emotion, and memory Cerebellum – responsible for muscle coordination and balance Brain stem – responsible for involuntary muscles like the heart The brain can be divided into three main parts: 1. Cerebrum: It is the largest part of the …

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A hotel chain charges $75 each night for the first two nights and $50 for each additional night’s stay. the total cost t is a function of the number of nights x that a guest stays.

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors. So, the …

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The daily profit p in dollars of a company making tables is described by the function upper p left parenthesis x right parenthesis equals negative 5 x squared plus 240 x minus 2475 p(x)=?5 x 2+240x?2475?, where x is the number of tables that are manufactured in 1 day. the maximum profit of the company occurs at the vertex of the parabola. how many tables should be made per day in order to obtain the maximum profit for the? company

The following equation of parabola is given: p(x)= – 5 x^2 + 240 x – 2475 where p(x) = y This is a standard form of the parabola. We need to convert this into vertex form of equation. The equation must be in the form: y – k = a (x …

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In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 -6. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answer: False Step-by-step explanation: Suposse that we are given a function f(x) and a constant value h. 1. Case: If we take the function g(x)=f(x)+h, then the graph of the function g(x) will be the graph of the funcion f(x) moved up or down. 2.Case: If we take the function …

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In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -(x-4)2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answer: False Step-by-step explanation: Suposse that we are given a function f(x) and a constant value h. 1. Case: If we take the function g(x)=f(x)+h, then the graph of the function g(x) will be the graph of the funcion f(x) moved up or down. 2.Case: If we take the function …

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The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?

Answer: The answer is (C) Patricia is not correct because both 3 – 4i  and -11+√2i  must be roots. Step-by-step explanation:  Given that  (-11-√2i) , (3 + 4i), and 10 are the roots of the polynomial function f(x) that Patricia is studying. We know that the complex roots of a …

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Why plants have specialized organelles animals and bacteria do not. Do those organelles serve a special function not needed in the other organisms?

Answer: The correct answer is all of these. Explanation: Organic compounds are defined as the chemical compounds where one or more carbon atoms are covalently bonded to other atoms of hydrogen, oxygen or nitrogen. They occur naturally in nature and the main sources of these organic compounds are petroleum, coal …

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The belief that sexual orientation is a function of hormones and other physiological processes is associated with which theory? A humanistic B Social learning C biological D androgyny

There are two systems in the human body that are responsible for the coordination between the functions of different systems to achieve the unity of the living organism’s body. These two systems are the nervous system and the endocrine system. The action of the nervous system is fast and takes …

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Marissa researched the cost to have custom T-shirts printed by several local and online vendors. She found that each store’s charge for the job could be modeled by a linear function that combined a flat charge for artwork with a per T-shirt rate. Marissa plotted the functions on a coordinate grid and found that two of the functions produced lines that had the same y-intercept. How should Marissa interpret this result? A:Those two vendors charge the same rate per shirt. B:Those two vendors charge the same flat rate for artwork. C:Those two vendors will have the same total cost to produce one shirt. D:Those two vendors will charge the same total cost for any size job.

Answer: C. Yes, because the population values appear to be normally distributed. Step-by-step explanation: Given is a graph which shows the distribution of values of a population The graph has the following characteristics i) Bell shaped ii) symmerical about mid vertical line iii) Unimodal with mode = median =mean iv) …

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What is the relationship between structure and function in the selected muscle? – Muscle – Human Cardiac – Smooth Muscle – Skeletal Muscle

There are two systems in the human body that are responsible for the coordination between the functions of different systems to achieve the unity of the living organism’s body. These two systems are the nervous system and the endocrine system. The action of the nervous system is fast and takes …

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Please state the function for the corresponding data set {({1,2,3,4,5,6,7}),({9,9.5,10.25,11.25,12.5,14,15.75}):} domain range

Given:x: [1      2         3        4      5    6        7]y: [9  9.5  10.25  11.25  12.5  14  15.75] Let the function which models the data bey(x) = ax² + bx + c Apply the function to the first …

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