The slope of the line tangent to the polar curve r = 3θ at the point where θ = π/2 is; Undefined
What is the slope of the line tangent?
By converting into parametric equations, we have;
x(θ) = r(θ) cos θ = cos 3θ cos θ
y(θ) = r(θ) sin θ = cos 3θ sin θ
By product rule;
x'(θ) = -sin 3θ cos θ - cos 3θ sin θ
x'(π/2) = -sin 3(π/2) cos (π/2) - cos 3(π/2) sin (π/2)
x'(π/2) = 0
y'(θ) = -sin 3θ sin θ + cos 3θ cos θ
y'(π/2) = -sin 3(π/2) sin (π/2) + cos 3(π/2) cos (π/2)
y'(π/2) = 1
The slope m of the curve is gotten from;
m = y'(π/2)/x'(π/2)
m = 1/0
Thus the slope is undefined
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Read the article and use the information to answer the following questions. puberty when does puberty occur? what causes the changes that occur during puberty?
Answer:
include this: For girls, puberty typically occurs between the ages of nine and thirteen
For boys, puberty typically occurs between the ages of ten and fifteen.
An increase in hormones – estrogen and progesterone in girls and testosterone in boys – causes the changes that happen during puberty.
Explanation:
Puberty appears differently in boys and girls. It happens between ages 10 to 14 in girls while 12 to 16 in boys. This stage of puberty relies on hormonal imbalances.
What do you mean by Puberty?Puberty may be described as the time in the life of any person when a boy/girl becomes erotically mature.
In boys, puberty relies on the hormone testosterone which generates some changes like beard growth, voice modification, etc. In girls, puberty relies on the hormones estrogen and progesterone which drives some changes like breast development, menstrual cycle, etc.
Therefore, above exist some changes that happen during puberty.
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If 25 a 9 b 3=75 and 15 a 6 b 2=45, then 16 a 8 b 2=?
Answer:
64
Explanation:
since 25 a 9 b 3 =75
9/3 =3
3×25 equal 75
then
16 a 8 b 2=
8÷2=4
4 ×16 =64
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.
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
Look carefully at all of the underlined words. based on the context of this quote, what does "elective franchise" mean?
Answer:
tbh I'm not really sure sorry ♂️
Answer:
C. Right to vote
Explanation:
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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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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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
There are 18 mathematics majors and 325 computer science majors at a college. in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major?
Answer:To pick one mathematic major we have 18 way, and o pick one computer science we have 325 ways, so we have 18 * 325 = 5850 ways to make a combination from them.
Explanation:
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
Which of the statements are evidence that gases do not always behave ideally?
Answer:
diffusion
Explanation:
diffusion, state of matter ,osmosis
What are the three reasons grasses dominate and trees do not in the grasslands biomes?
Answer:fire and drought
Explanation: i took the quiz :)
among florida regulations regarding obstructions to navigation, it is illegal to attach your vessel to which of the following?
it is illegal to attach your vessel to a lateral buoy or non-lateral marker
What is illegal to attach your vessel to?Note that it is illegal to attach a vessel to a buoy , beacon, etc. or any other form of navigational aid that is put into a public waters by the right authorities.
It has been stated that it is bad or illegal for on to Move, displace, alter, damage, or do away with any form of navigational aid and this can attract penalty.
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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
Water is boiled to make steam to turn a generator to send power to a house. the energy conversions involved include ___________________
Purvik and nisha spent a summer day at a popular amusement park with friends. they rode roller coasters, ate cotton candy, and played carnival games to win prizes. explain how each of the following might have played a role in their day
The way the different type of emotions might have played a role in their day is; As detailed in the explanations below
What are some of the roles in motion theory?The role of given thing that might have played in their day are as follows:
The Amygdala: This is an important part of the limbic system that is responsible for the processing of emotions like joy, wonder, fear e.t.c.The approach-approach conflict: This is one that takes place when there's conflict to decide between two appealing goals. It plays a role in deciding which activity to do first.Arousal theory: It is a theory that plays a major reason people are driven to perform any action is to maintain the optimal level of physiological arousal.Informational Social Influence: It is a psychological process in which people imitate of actions of others.Motion parallax: This is a monocular depth cue. It generates a feeling like an object that is closer moving faster than objects that are further away from us.Taste aversion; This is when our senses or mind develops resistance towards certain types of food.Vestibular sense; This involves the sensations of body rotation and of gravitation and movement arise in the inner ear.Read more about motion theory at; brainly.com/question/9138858
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
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 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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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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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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Hugo is standing in the top of st. louis' gateway arch
Lamarck's ideas about the process of evolution include each of the following except
Evolutionary relationships among organisms can be depicted by groupings based on similarity is an idea that isn't among Lamarck's process of evolution.
What is an evolution?Evolution refers to a biological process that involves a gradual change in the genetic make up and characteristics of species of an organism over several successive generations.
According to Lamarckism, it can be deduced that acquired characteristics in living organisms are inherited and all organisms arise through spontaneous generation.
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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:
When one group of species is replaced with others over time,it is called
Suppose the government in this economy decides to decrease government purchases by $250 billion. the decrease in government purchases will lead to a decrease in income, generating an initial change in consumption equal to . this decreases income yet again, causing a second change in consumption equal to . the total change in demand resulting from the initial change in government spending is .
When the government decides to decrease government purchases by $250 billion, this will lead to a $175 billion decrease in income.
How to calculate the decrease in income?From the information, the government decides to decrease government purchases by $250 billion. The decrease in income will be:
= $250 × 0.7
= $175 billion
This decrease in income yet again will cause a second change in consumption equal to:
= $175 × 0.7
= $122.5 billion
The total change in demand resulting from the initial change in government spending will be:
= $250 × (1/30%)
= $250 × 3.33
= $833 billion
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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!:)
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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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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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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