A n example of Lesson 16.2 modeling exponential growth and decay is find out if y =5(2)ˣ is exponential growth or decay.
How do you know an exponential growth or decay?One can know if a function is an exponential growth or decay when it has a as positive and b is said to be greater than 1 (to be exponential growth).
If a is said to be positive and b is said to be lower than 1 but when it is also greater than 0, we can say that it is an exponential decay.
From the above, y =5(2)ˣ is an exponential growth because the base is said to be greater than 1 and the exponent contain a positive notation.
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What are the solutions of x2 = 8 – 5x? startfraction 5 minus startroot 57 endroot over 2 endfraction comma startfraction 5 + startroot 57 endroot over 2 endfraction startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction startfraction negative 47 over 4 endfraction comma startfraction 67 over 4 endfraction startfraction negative 67 over 4 endfraction comma startfraction 47 over 4 endfraction
The solution of the equation x² = 8 - 5x is startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction
How to solve quadratic equation?x² = 8 - 5x
x² + 5x - 8 = 0
Using quadratic formula
x = -b ± √b² - 4ac / 2a
= -5 ± √5² - 4(1)(-8) / 2(1)
= -5 ± √25 -(-32) / 2
= -5 ± √25 + 32 / 2
= -5 ± √57 / 2
= -5 + √57 /2 or -5 -√57/2
Therefore, the correct answer is; startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction
-5 - √57 / 2, -5 + √57 / 2
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Answer:
B)
Image to help is below here, sorry if its bad quality but good luck <3
What roles are most important in a text-based discussion? check all that apply.
Answer:
The roles which are most important in a text-based discussion is:
B) Summarizing the text that the group has read
C) Sharing an idea, claim, or theory about the story
D) Asking other participants questions about what they feel.
Text-based educating includes express educating of the construction of various text types and an informative methodology in which the instructor presents the message and its motivation highlights, guides understudies through the creation of messages however the most common way of framework.
Explanation:
i hope this helped
Answer:
B) Summarizing the text that the group has read
C) Sharing an idea, claim, or theory about the story
D) Asking other participants questions about what they feel.
Explanation: the one above is correct
The doppler effect indicates that the universe is expanding because_________. which phrase best completes the sentence.
Answer: light from other galaxies is red.
Explanation: Astronomers have observed that light from the distant object in the universe is shifted towards the frequency of red color which indicates that those object are receding or moving away from the planet earth.This phenomena was termed as Red shift .Same thing goes for galaxies which are very far away from the planet earth.
Where as if galaxies were moving towards the the planet earth their light would have shifted toward the frequency of blue color termed as blue shift.
True or false if a and b are square matrices, then ab =ba,
yes
Explanation:
it is true because it's the formula of mathematics
In a joint family couples are encouraged to produce more children.justify
Answer:
because the grand parents who are old and there mind also old.
Explanation:
the previous people think that children is a source of money. But they don't know it will be the lack of money for their education, shopping, and their needs
Because factories were usually located in cities, industrialization went hand-in-hand with –. the industrial economy helped create robust growth in the united states for many decades. plentiful manufacturing and industrial jobs meant that – could enter the job market making a good wage. but as the economy began to transform once more, from an industrial to a postindustrial system, the nature of work changed as well. – led to a decline in manufacturing jobs: with about – jobs lost since 1980
The up-menu list for the sentence which explains the industralization and its impact on the economy includes:
urbanizationhigh school graduatesOffshoring7.5 millionWhat is industralization?An industralization means the development of industries in a region which plays an instrumental role in the economic development of the world
Correct drop-downs includes:Industrialization went hand-in-hand with urbanization. The industrial economy helped create robust growth in the united states for many decades. plentiful manufacturing and industrial jobs meant that high school graduates could enter the job market making a good wage. But as the economy began to transform once more, from an industrial to a postindustrial system, the nature of work changed as well. Offshoring led to a decline in manufacturing jobs: with about 7.5 million jobs lost since 1980.
In conclusion, the emergence of Industrialization is an imporant event that impact the world economy at large.
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nicole is socially inhibited and oversensitive to negative evaluation
Answer:
avoidant personality disorder
All of the following have been associated with feelings of hope except __________.
Answer:
What Are the Answer Choices
Explanation:
I believe I know the answer, but I need the answer choices.
When data are categorized as, for example, places of residence (rural, suburban, urban), the most appropriate measure of central tendency is the
If data are categorized as, for example, places of residence, the measure of central tendency to use is the median
What is the median?This is known to be the middle number in a group of sorted numbers, that are said to be ascending or descending.
From the above statement, the data of distributions that extreme values, the median is a best measure of central tendency as it will give the right accuracy we need.
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You can divide a segment into n congruent segments by bisecting segments repeatedly what are some of
Answer:
A segment can be divided into n congruent segments by bisecting segments repeatedly.
Explanation:
Calculus early transcendentals 7th edition solutions
The Calculus early transcendentals 7th edition text book is known to help build your mathematical confidence and thus assist you in the achievement of your goals in terms of the course.
What is the Calculus: Early Transcendentals edition?This is known to be a text book that was written by Stewart James. The Early Transcendentals Seventh Edition is one that helps to conveys some of the utility of calculus to aid student to have a good technical competence.
Note that it gives you a background knowledge on calculus, exponential function, linear functions and thus boast your level of knowledge.
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Hugo is standing in the top of st. louis' gateway arch
Find the mass of a football player who weighs 1250 n of force and has an acceleration of 1.5 m/s2
What can you say about the series an in each of the following cases?
The exercise is related to the Ratio Test for Convergence. The rules for this kind of test are given below.
What are the rules for Ratio Test for Convergence?The rules are:
Using this knowledge, we are able to state that
A is not conclusive.C's convergence is absolute.There is divergence with D and E.B and F appear to be employing the nth-term test. The nth-term involves determining the sequence's limit as it approaches infinity.The nth-term test determines whether a series is divergent if the limit is bigger than 0, thus, both B and F are divergent series.
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What are the three reasons grasses dominate and trees do not in the grasslands biomes?
Answer:fire and drought
Explanation: i took the quiz :)
Which of the statements are evidence that gases do not always behave ideally?
Answer:
diffusion
Explanation:
diffusion, state of matter ,osmosis
Based on the passage, what inference can be made about why president eisenhower supported the civil rights act of 1957? he wanted to protect the rights of minority voters. he wanted to ensure that all people had the right to run for political office. he wanted to stop voters from breaking the law. he wanted to manipulate the election process so only certain candidates were elected.
Answer:
A. he wanted to protect the rights of minority voters.
Explanation:
A: He wanted to protect the rights of minority voters.
Explanation: Got it correct in adgenuity
65g of nitric acid are produced in a reaction. 2. 5g of platinum are added to the reaction vessel at the start of the reaction to act as a catalyst. how much platinum will there be left in the vessel at the end of the reaction?
Answer:
2. 5g of platinum
Explanation:
catalyst gets the reaction going faster
its not part of the reaction
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65g of nitric acid are produced in a reaction. 2. 5g of platinum are added to the reaction vessel at the start of the reaction to act as a catalyst, 2. 5g platinum will there be left in the vessel at the end of the reaction.
What do you mean by catalyst ?The term catalyst is defined as a substance that changes the rate of a chemical reaction but is itself unchanged at the end of the process. Catalysis is the process of facilitating a reaction by adding a catalyst.
A catalyst is a substance that accelerates or reduces the temperature or pressure required to initiate a chemical reaction without being consumed in the process.
65g of nitric acid are produced in a reaction. 2. 5g of platinum are added to the reaction vessel at the start of the reaction to act as a catalyst, 2. 5g platinum will there be left in the vessel at the end of the reaction. Because catalyst increased the rate of reaction, it does not involve.
Thus, 2. 5g platinum will there be left in the vessel at the end of the reaction.
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Use the drop-down menus to identify the case of the underlined pronoun in each example. katie’s dog likes to swim. mathew’s dog doesn’t. hers is in the water now. the dogs waited patiently. katie and mathew usually walked them after dinner. at the end of the day, the dogs were tired. they went to bed.
Answer:
Katie’s dog likes to swim. Mathew’s dog doesn’t. Hers is in the water now.
✔ possessive
The dogs waited patiently. Katie and Mathew usually walked them after dinner.
✔ objective
At the end of the day, the dogs were tired. They went to bed.
✔ subjective
You are given a sample of metal and asked to determine its specific heat. you weigh the sample and find that its weight is 28.4 n. you carefully add 1.25 x 104 j of heat energy to the sample and find that its temperature rises to 18.0 °c. what is the sample’s specific heat?
The specific heat of the given sample of metal is 14.32 J/kg.K.
What is the Specific heat of a sample?The specific heat of a sample is the amount of heat needed or required to raise the temperature of that sample by 1K. It is given by the formula:
Q = mCΔT
where;
Q = Heat transferredm = Mass of the substanceC = Specific heat ΔT= Change in temperature.Recall that:
weight of a substance = mass × gravity
mass = 28.4 N/ 9.8 m/s²mass = 3 N/m/s² = 3 kgFrom the equation:
Q = mCΔT
[tex]\mathbf{C = \dfrac{1.25 \times 10^4 \ J}{3 \ Kg \times 291 \ K }}}[/tex]
C = 14.32 J/kg.K
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nematodes and arthropods are the largest ecdysozoan phyla. which of the following statements are true? select all that apply.
Nematodes are elongated worms that are either parasitic to living things or free-living in soil while arthropods are invertebrates that has segmented bodies and joined appendages.
True statements about nematodes and arthropodsNematodes and arthropods are the largest ecdysozoan phyla the following statements about them is true.
Both nematodes and arthropods possess an external covering, or cuticle.Arthropods possess an open circulatory system.Some nematodes are parasitic on humans.Both nematodes and arthropods must molt in order to increase in size.Arthropods are named for their jointed appendages.Learn more about nematodes here:
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When one group of species is replaced with others over time,it is called
A student walks 2 km in 30 minutes. what is the student's average speed in km/hr?
Answer:
15 minutes per km
Explanation:
Divide 30 by 2 because your getting the rate of change hope this helps!:)
What is the topic of this passage? jim makes friends with a cooter. an enslaved man believes a talking cooter will help him gain his freedom. a talking cooter wants to meet jim. jim is a talking cooter who wants to be a dreamer like his owner.
We can see that the topic of this passage is: An enslaved man believes a talking cooter will help him gain his freedom.
What is passage?A passage actually refers to a piece of writing that actually contains sentences and paragraphs. Passages are written to relay information or stories that took place.
We can see here that Jim is a slave. So, he believes that a talking cooter will help him gain his freedom. This is actually the topic of the passage.
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The topic of the given passage is B). An enslaved man believes a talking cooter will help him gain his freedom.
What is Topic?This refers to the subject of what is being discussed in a given passage or text.
In this case, the passage talks about Jim believing when he allows the owner of the plantation meet the cooter he will regain freedom which is why option B was chosen.
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Alyssa opened a retirement account with 7.25% apr in the year 2000. her initial deposit was $13,500. how much will the account be worth in 2025 if interest compounds monthly? how much more would she make if interest compounded continuously?
The total amount accrued, principal plus interest, with compound interest on a principal of $13,500.00 is $19,377.24.
Compound InterestGiven Data
Principal P = $13500Rate r = 7.25%Time = 5 yearsA = P + I where
P (principal) = $13,500.00
I (interest) = $5,877.24
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 7.25/100
r = 0.0725 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 13,500.00(1 + 0.0725/12)^(12)(5)
A = 13,500.00(1 + 0.0060416666666667)^(60)
A = $19,377.24
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what are the three basic steps in the nsc collision prevention formula
Answer:
Read the road ahead. Reduce your speed. Drive to the Right. Ride off the road if necessary.
Explanation:
I had this on a test and i got it right hope it works
The three basic steps in the NSC collision prevention formula are that Collisions or injuries may be avoided via way of means of following protection regulations and following protection mechanisms.
What are the 3 primary steps of the DDC collision?The 3 primary steps of the DDC collision prevention formulation are to Recognize, Understand, and Act correctly.
Recognize the risks such that, the driving force need to be alert approximately the surroundings and test the mirrors each five to ten seconds Understand the protection such that the driving force need to appear out for any risks, hazardous driving, and different viable risks at the road. The driving force needs to be capable of recognizing the outcomes of risks.Always use signals, manipulate the speed, and keep enough distance from the cars to keep away from a collision.
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Use series to approximate the definite integral i to within the indicated accuracy. i = 1/2 x3 arctan(x) dx 0 (four decimal places)
The expression [tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx[/tex] is an illustration of definite integrals
The approximated value of the definite integral is 0.0059
How to evaluate the definite integral?The definite integral is given as:
[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx[/tex]
For arctan(x), we have the following series equation:
[tex]\arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 1}}{2n + 1}}[/tex]
Multiply both sides of the equation by x^3.
So, we have:
[tex]x^3 * \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 1}}{2n + 1}} * x^3[/tex]
Apply the law of indices
[tex]x^3 * \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 1 + 3}}{2n + 1}}[/tex]
[tex]x^3 * \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}}[/tex]
Evaluate the product
[tex]x^3 \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}}[/tex]
Introduce the integral sign to the equation
[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =\int\limits^{1/2}_{0} \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}}[/tex]
Integrate the right hand side
[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =[ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}} ]\limits^{1/2}_{0}[/tex]
Expand the equation by substituting 1/2 and 0 for x
[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =[ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{(1/2)^{2n + 4}}{2n + 1}} ] - [ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{0^{2n + 4}}{2n + 1}} ][/tex]
Evaluate the power
[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =[ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{(1/2)^{2n + 4}}{2n + 1}} ] - 0[/tex]
[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{(1/2)^{2n + 4}}{2n + 1}}[/tex]
The nth term of the series is then represented as:
[tex]T_n = \frac{(-1)^n}{2^{2n + 5} * (2n + 4)(2n + 1)}[/tex]
Solve the series by setting n = 0, 1, 2, 3 ..........
[tex]T_0 = \frac{(-1)^0}{2^{2(0) + 5} * (2(0) + 4)(2(0) + 1)} = \frac{1}{2^5 * 4 * 1} = 0.00625[/tex]
[tex]T_1 = \frac{(-1)^1}{2^{2(1) + 5} * (2(1) + 4)(2(1) + 1)} = \frac{-1}{2^7 * 6 * 3} = -0.0003720238[/tex]
[tex]T_2 = \frac{(-1)^2}{2^{2(2) + 5} * (2(2) + 4)(2(2) + 1)} = \frac{1}{2^9 * 8 * 5} = 0.00004340277[/tex]
[tex]T_3 = \frac{(-1)^3}{2^{2(3) + 5} * (2(3) + 4)(2(3) + 1)} = \frac{-1}{2^{11} * 10 * 7} = -0.00000634131[/tex]
..............
At n = 2, we can see that the value of the series has 4 zeros before the first non-zero digit
This means that we add the terms before n = 2
This means that the value of [tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx[/tex] to 4 decimal points is
[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx = 0.00625 - 0.0003720238[/tex]
Evaluate the difference
[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx = 0.0058779762[/tex]
Approximate to four decimal places
[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx = 0.0059[/tex]
Hence, the approximated value of the definite integral is 0.0059
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which of the following is/are contained within the spermatic cord?
Answer:
The spermatic cord contains the ductus deferens (vas deferens), the testicular artery and the pampiniform plexus of veins. Other structures in the cord are the cremasteric artery, the artery to the vas, nerve to the cremaster, sympathetic nerves and the lymphatics of the testis and epididymis.
Explanation:
The spermatic cord contains the ductus deferens (vas deferens), the testicular artery and the pampiniform plexus of veins. Other structures in the cord are the cremasteric artery, the artery to the vas, nerve to the cremaster, sympathetic nerves and the lymphatics of the testis and epididymis.
What is the name for a spermatic cord vein abnormal dilation?
A varicocele is an abnormal enlargement and tortuosity of the spermatic cord veins. Although varicoceles are frequently discovered during routine physical examinations and are common in the general population, they are the most frequently treatable cause of male factor infertility.
In the veins located in the scrotum, directly above the testicles, it is thought that varicoceles are brought on by faulty valves. These valves typically control how much blood is sent to and received from the testicles. Blood backs up when normal flow doesn't happen, which causes the veins to enlarge.
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Two identical blocks a and b are connected by a lightweight rope. block a is pulled to the right by a constant force f0. the blocks are moving to the right across a rough surface and approach point p, where the rough surface transitions to a surface with negligible friction. how does the tension, t, in the rope connecting the blocks change, if at all, as block a passes point p?
When block A passes point P, the negligible friction will lead to the tension, T, between the two blooks A and B increasing.
What happens to the tension after point P?The tension in the rope can be found by the formula:
= Coefficient of friction x Mass x Acceleration
Thanks to the transition to the surface after point P, the friction is now negligible which means that there will be an increase in acceleration.
This will increase the tension as shown by the formula for tension.
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Introduction to linear algebra 4th edition solutions
Answer:
Whats your question?
What do you need help on?
I took algebra a while ago so I may be able to help you.
