How long will it take for 475 mg of a sample of radium-225, which has a half-life of about 15 days, to decay to 30 mg

Answers

Answer 1
Answer:

60 days

Explanation:

Half-life is the amount of time it takes half of a substance to decay away.

Guess and Check

One method for solving half-life problems like this is to guess and check. To do this, we can continue to divide 475mg by 2 until we get to 30mg.

475 ÷ 2 = 237.5237.5 ÷ 2 = 118.75118.75 ÷ 2 = 59.37559.375 ÷ 2 = 29.6875

As seen here, it takes approximately 4 half-lives for this sample of Ra-225 to decay to 30mg. Now, we can multiply 4 by the length of the half-life, 15 days.

4 * 15 = 60 days.

Fractions

Another way to solve this is to use fractions.

30 is about 1/16 of 47516 is equivalent to [tex]2^{4}[/tex].

This means that it takes 4 half-lives for 475mg to decay to 30mg. Using the same method above, we can tell that 4 half-lives are 60 days.

Important Note

In this question, I rounded occasionally. So, not all of the values are exact, but they are all very close.


Related Questions

Read the statement from a paper on The Importance of Being Earnest. The Importance of Being Earnest contains the features of a comedy of manners. Which excerpt from the play best supports the statement

Answers

The excerpt from the play best supports the statement is; c. Miss Prism. No married man is ever attractive except to his wife.

What is the correct Excerpt of the Play?

"The Importance of Being Earnest" is a play written by Oscar Wilde. This play has a story line that revolves around characters who pretend to be other people in order to deceive those around them. This means that these characters lie when they feel like escaping society.

This play is the most famous comedy of manners of all time because it features manners that satirizes society, criticizes social standards and manners. It's full of dialogs, witty remarks and sarcasm.

Option C is the correct option because it is a remark made by the character Miss Prism, who had a love interest named Reverend Chasuble and She tried convincing him that he should marry.

The missing options are;

a. Merriman. Mr. Ernest Worthing has just driven over from the station.

b. Algernon. It is much pleasanter being here with you.

c. Miss Prism. No married man is ever attractive except to his wife.

d. Chasuble. Mr. Worthing, I offer you my sincere condolence.

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Jeffrey operates a high-volume, fine-dining restaurant called the Baroness. His labor productivity ratio of choice is guests served per labor hour. His standards for both servers and bus persons are as follows: Servers

Answers

Based on the calculations, the server labor hours is equal to 17.5 hours.

How to calculate the server labor hours?

Since the Jeffrey' standards for both servers and bus persons are listed as follows:

Servers = 10 guests per labor hour.Bus persons = 25 guests per labor hour.

Also, the forecasted number of guests served from 12:00 to 1:00 is 175. Thus, the server labor hours is given by:

Server labor hours = 175/10

Server labor hours = 17.5 hours.

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Complete Question:

Jeffrey operates a high volume, fine dining restaurant called the Baroness. His labor productivity ratio of choice is guests served per labor hour. His standards for both servers and bus persons are as follows:

Servers = 10 guests per labor hour

Buspersons = 25 guests per labor hour

Use the Guest Forecast chart below to answer the following question.

How many server labor hours should Jeffrey schedule for the time period from 12:00 to 1:00?

If y=(x+2)(x+8)y=(x+2)(x+8)y, equals, left parenthesis, x, plus, 2, right parenthesis, left parenthesis, x, plus, 8, right parenthesis is graphed in the xyxyx, y-plane, which of the following characteristics of the graph is displayed as a constant in the equation?

Answers

The characteristics of the graph that is displayed as a constant in the equation is the y-intercept

How to determine the characteristics?

The function is given as:

y = (x + 2)(x + 8)

Set x = 0 to determine the constant

y = (0 + 2)(0 + 8)

Evaluate

y = 16

The above represents the y-intercept

Hence, the characteristics of the graph that is displayed as a constant in the equation is the y-intercept

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For each compound, determine the direction of bond polarity. Leave the box blank for a nonpolar bond.

Answers

For H - Cl, the direction is towards the chlorine atom (Cl)

For F - CH₃, the direction is towards the fluorine atom (F)

How to find the direction of bond polarity?

The compounds we want to find the directions are given as;

Br - Br

H - Cl

F - CH₃

Br - Br is non - polar because, in this molecule, both bromine atoms have the same electronegativity due to which both atoms have equal charge distribution and results in a net-zero dipole moment. Thus, it has no direction of bond polarity.

The dipole moment is a vector quantity. This means that it has both magnitude and direction.

Thus, the direction of the dipole moment always points from the positive atom towards the negative atom.

In H - Cl, Cl is the negative atom while H is the positive and so the direction will be towards chlorine (Cl).

Meanwhile, for F - CH₃, Fluorine is the negative atom and as such the direction of bond polarity will be towards F(Fluorine)

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avantages and disadvantaes of dsm v criteria for substance abuse

Answers

Explanation:

it can be a advantage for medical reasons and be a disadvantage because overerdoseage

[tex]y=100(0.5)^{x/13}[/tex]

The given equation models the relationship between the predicted value y, in dollars, of a certain piece of technology and the time, x, since it was purchased. Assuming there are 52 weeks in a year, which of the following equations models the relationship between the predicted value, y, of the technology and time t, in number of years, since it was purchased?

Answer: [tex]y=100(0.5)^{4t}[/tex]

Can someone explain why the above is the answer?

Answers

The equation that models the relationship between the predicted value, y, of the technology and time t, in number of years, since it was purchased is; y = 100(0.5)^(4t)

How to interpret Exponential Growth Function?

We are given the exponential growth function as;

y = 100(0.5)^(x/13)

where;

y is the predicted value of a certain piece of technology in dollars.

x is the time, x in weeks since it was purchased.

Now, we are told that there are 52 weeks in a year and if t years have passed, then it means that time in weeks that have passed will be 52t weeks. Thus, our equation is now;

y = 100(0.5)^(52t/13)

y = 100(0.5)^(4t)

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Draft Summary of the Business Model Canvas ENT 436 week 5

Answers

The summary or business model is known to be the conceptual framework on which acts as a pillar of support to the the viability of a business, and it is made up of its purpose, its goals and its current plans for achieving them.

What Is a Business Model?

The term business model is known to be the factor that entails a company's plan for them to be able to make a profit.

Hence, The summary or business model is known to be the conceptual framework on which acts as a pillar of support to the the viability of a business, and it is made up of its purpose, its goals and its current plans for achieving them.

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which activity places a client at risk for hyperthermia

Answers

One activity that can place a client at a risk of hyperthermia is d. Performing strenuous activity in high humidity.

What can lead to hyperthermia?

When we person strenuous activity, the body is forced to expend a lot of energy which leads to the production of heat.

If done in a humid environment, the body will lose heat due to weating which would allow for hyperthermia to happen.

Options for this question include:

a. Snowmobiling

b. Skiing in the winter

c. Hiking Alaskan mountains

d. Performing strenuous activity in high humidity

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Action movies often present what George Gerbner calls "happy violence." Which of the following is a good example of "happy violence" as Gerbner uses the term? quizlet

Answers

The example of "happy violence" that George Gerbner describes is c. Mean-world syndrome.

What is the mean-world syndrome?

The mean-world syndrome is a belief by people that the world is more dangerous than it actually is.

As a result, they enjoy action movies which reinforce this belief and leads to happy violence where people are glad that the danger in the world is being taken care of.

Options for this question include:

A. Entertainomericials

B. Cultivation Theory

C, Mean-world syndrome

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A nurse is caring for a client who has poison ivy and dermatitis and is started on diphenhydramine (Benadryl). Which of the following nursing recommendations is appropriate for decreasing the dry mouth associated with the use of diphenhydramine

Answers

The nursing recommendation that is appropriate for decreasing the dry mouth associated with the use of diphenhydramine is to chew (sugarless) gum, drink water, or use a saliva substitute.

What is Nursing Care?

This refers to the care that is given to patients by a trained and registered nurse to nurse them back to good health.

Hence, we can see that the dry mouth that is caused by the use of diphenhydramine can be decreased through the drinking of water or chewing gum.

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Use the information above and the trigonometric identities to prove that Asin(wt

Answers

Using sum and difference identities from trigonometric identities shows that; Asin(ωt)cos(φ) +Acos(ωt)sin(φ) =  Asin(ωt + φ)

How to prove Trigonometric Identities?

We know from sum and difference identities that;

sin (α + β) = sin(α)cos(β) + cos(α)sin(β)

sin (α - β) = sin(α)cos(β) - cos(α)sin(β)

c₂ = Acos(φ)

c₁ = Asin(φ)

The Pythagorean identity can be invoked to simplify the sum of squares:

c₁² + c₂² =

(Asin(φ))² + (Acos(φ))²

= A²(sin(φ)² +cos(φ)²)

= A² * 1

= A²

Using common factor as shown in the trigonometric identity above for Asin(ωt)cos(φ) +Acos(ωt)sin(φ) gives us;  Asin(ωt + φ)

Complete Question is;

y(t) = distance of weight from equilibrium position

ω = Angular Frequency (measured in radians per second)

A = Amplitude

φ = Phase shift

c₂ = Acos(φ)

c₁ = Asin(φ)

Use the information above and the trigonometric identities to prove that

Asin(ωt + φ) = Asin(ωt)cos(φ) +Acos(ωt)sin(φ)

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Consider the competitive market for sports jackets. The following graph shows the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves for a typical firm in the industry.

Answers

The marginal cost is the additional cost incurred for a extra unit of production.

How to illustrate the information?

The average total cost is simply the total cost divided by the number of units.

Based on the table attached, the number of jackets is used to depict whether the producer should shut down or produce.

The short run supply curve is also illustrated.

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Which two items do you need to access a shared resource

Answers

The two (2) items which an end user would need to access a shared resource are: authentication and permissions.

What is ESP?

ESP is an abbreviation for encapsulating security payload (ESP) protocol and it can be defined as a standard protocol that is designed and developed to provide secrecy for the data (contents or resources) that are transmitted through network communications, as well as system-to-system authentication and data integrity verification so as to prevent any unauthorized access.

In Computer technology, the encapsulating security payload (ESP) protocol is a transport layer protocol which is designed and developed to provide data authentication, confidentiality, and integrity in IPv6 and IPv4 protocols.

In this context, we can infer and logically deduce that the two (2) items which an end user would need to access a shared resource are

Authentication Permissions.

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Complete Question:

Which two items do you need to access a shared resource?

ipconfig and nslookup

DNS and icons

Authentication and permissions

Name and IP address

The symbols $\triangle$, $\square$, $\diamond$, $\clubsuit$ represent four different integers from $1$ to $9$. Using the equations below, what is the value of $\square$

Answers

The value of the four integers are; Triangle = 1; Diamond = 5; Square = 2; Clubsuit = 7

How to solve simultaneous equations?

We are given the equations;

Triangle + Triangle + Triangle + Triangle + Triangle = Diamond

Triangle + Square + Square = Diamond

Square + Diamond = Clubsuit

If triangle is T, Diamond is D, Square is S and Clubsuit is C, then we have;

5T = D    ..... (eq 1)

T + 2S = D  .... (eq 2)

S + D = C   ......(eq 3)

Equations (1) and (2) are equal. Thus;

5T = T + 2S

4T = 2S

2T = S

T = S/2

Put T + 2S for D in equation (3):

S + T + 2S = C

3S + T = C

3S + S/2 = C

7S/2 = C

Since they are all integers from 1 to 9, it means that T cannot be more than 1 because 5T = D. Thus; T = 1

1 = S/2

S = 2

C = 7 * 2/2

C = 7

D = 5

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nih sciencedirect b6 cabergoline prolactin

Answers

Vitamin B6 is able to reduce serum Prolactin concentration by exerting dopaminergic effects.

What are dopaminergic effects?

Dopaminergic effects are those that resemble to the action of the neurotransmitter dopamine in the brain.

Vitamin B6 (also called pyridoxine) is able to reduce prolactin levels, which is particularly important in hyperprolactinemic patients.

In conclusion, Vitamin B6 is able to reduce serum Prolactin by exerting dopaminergic effects.

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idrivesafely The percent of alcohol-related fatalities declined to __________ in 2016.

Answers

The percent of alcohol-related fatalities declined to 20% in 2016.

What is alcohol-related fatalities?

This refers to the fatalities from accident that are induced by the driver's use of alcohol.

Statistics of bureau shown that percent of alcohol-related fatalities declined to 20% in 2016.

Also, the Alcohol fatalities accounted for about 32% of the total motor car traffic fatalities in the United States.

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susan has discovered that the smart card-based locks used to keep the facility secure are not

Answers

Based on the fact that Susan posted signs to remind the staff to close the door, this is a C. Compensation control.

What control did Susan use?

Susan used the compensation control because she posted signs that aimed to remind the staff of the security risks if they failed to close the door.

An argument can be made that the alarms were a physical control which they are, but the signs make it a compensation control entirely.

The full question is:

Susan has discovered that the smart card-based locks used to keep the facility she works at secure are not effective because staff members are propping the doors open. She places signs on the doors reminding staff that leaving the door open creates a security issue, and adds alarms that will sound if the doors are left open for more than five minutes. What type of controls has she put into place?

a. Physical

b. Administrative

c. Compensation

d. Recovery

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frameworks for internal medicine pdf reddit

Answers

The Frameworks for internal medicine is known to be those factors on which internal medicine is built and it is said to be given in the image attached.

What is  Internal medicine?

This is known to be a field of practice that is known to be based on the  treatment of adults.

Note that it is one where Doctors are known to often prevent, and also diagnose, as well as treat diseases that are known to often affect all adults, such as chronically ill patients, to those who need short-term care.

Note that if or wen a doctor completes an internal medicine residency, they are said to be called or referred to as internist.

Hence, The Frameworks for internal medicine is known to be those factors on which internal medicine is built and it is said to be given in the image attached.

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Answer the following questions on price controls. a) Does a price ceiling change the equilibrium price

Answers

Please be well informed that a price ceiling does not change the equilibrium price

This is simply because a price ceiling is just a legal restriction while an equilibrium is an economic condition.

What is equilibrium price?

An equilibrium price is simply defined as the consumer cost assigned to some product or service such that supply and demand are equal, or close to equal.

So therefore, please be well informed that a price ceiling does not change the equilibrium price

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Which reproductive combination produces hybrids

Answers

A reproductive combination between living parent organisms which produces hybrids is: c. when members of closely related species reproduce.

What is reproduction?

Reproduction can be defined as a biological process through which all living parent organisms produce their offspring, especially through mating.

What is a species?

A species is a biological classification of related organisms that have the same or similar characteristics, and they are capable of mating (breeding) with one another in a cycle or different seasons.

During the reproduction process, a reproductive combination between living parent organisms which would produce hybrids is usually when members of closely-related species reproduce.

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Complete Question:

Which reproductive combination produces hybrids?

a. when individuals of the same species in different geographical areas reproduce

b. when any two individuals sharing the same habitat reproduce

c. when members of closely related species reproduce

d. when offspring of the same parents reproduce

Multiple choice questions

Which one is bridge animal?
1 Archaeopteryx
2 horse
3 platypus
4 ii and ii

Which one is the homologous organ in the human hand?
1 wing of insect
2 forearm of horse
3 forelimb of seal
4 ii and ii

Which one is the vestigial organ in our body

1 right hand
2 right kidney
3 right eye
4 appendix

Please answer my hands are dead typing this long help if ur genius this is of science btw

Answers

Answer:

The answer for "which one is bridge animal?" is 4. I think it is i and ii not ii and ii.

The answer for the homologous organ is forelimb of seal.

The vestigial organ is appendix.

What statement is true of gossip and story-telling

Answers

The  statement that is true of gossip and story-telling is  As a story is retold, the stereotypical information is likely to be dropped out of the retelling.

What is gossip and story-telling ?

Gossip and story-telling is a literary term that involves the giving out information in terms of a story which is a work of an author.

It should be noted that in story telling, As a story is retold, the stereotypical information is likely to be dropped out of the retelling.

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All of the following are effective countermeasures of fatigue except:

Answers

All of the following are effective countermeasures of fatigue except: D. Allowing your eyes to lose focus.

What is a countermeasure?

This is the term that helps to describe something that helps a person to fight against another thing. The counter measure is usually what is taken in order to prevent something from happening or occurring.

Here fatigue has to do with the fact that a person is tired, worn out and they need to rest well in order to continue functioning properly in the chores or the tasks that they are known to indulge in.

When a person is tired they would have issues with their eyes enabling them to focus on what they are doing.

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Sort each feature to the appropriate worm phylum.

Answers

The features for each appropriate worm phylum are not found here but they include terrestrial (Oligochaeta) or true leeches (Hirudinea).

What are worms?

Worms are invertebrates that exhibit bilateral symmetry, having a head and a tail end.

Worms are classified into terrestrial members (Oligochaeta) and leeches parasitic worms (Hirudinea).

In conclusion, the features for each appropriate worm phylum are not found here but they include terrestrial (Oligochaeta) or true leeches (Hirudinea).

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Draw a single Venn diagram to describe sets A, B, and C and element x that satisfy all of these conditions: A BC BA C x B C

Answers

The attached figure represents the Venn diagram

How to draw the diagram?

The set notations are given as:

A ⊆ B, C ⊂ B, A ∩ C ≠ ∅ and x ∈ B - C

The meanings of the above set notations are:

A ⊆ B: Set A is a proper subset of set B i.e. all elements of set A are in BC ⊂ B: Set C is a subset of set B i.e. all elements of set C are in BA ∩ C ≠ ∅: The intersection of sets A and C is not an empty setx ∈ B - C: The element x is in set B but not in set C

See attached image for the Venn diagram that depicts the above highlights

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If the interest rate rises from 5% to 9%, the number of new businesses will:

Answers

If the interest rate rises from 5% to 9%, then it means that the number of new businesses will decrease.

What is Interest rate?

This can be defined as the amount charged by a lender to a borrower on any type of debt given.

Most businesses take loans to start which which is why an increase in interest rate means more charges and difficulty in accessing them therefore leading to a decrease in number of new businesses by individuals.

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Which of the following is a metabolic consequence of obesity that precedes type 2 diabetes

Answers

A metabolic consequence of obesity that precedes type 2 diabetes is metabolic syndrome

What is Metabolic Syndrome?

This refers to the medical condition that leads to pro-inflammatory states that is as a result of risk factors that are common in people that suffer from cardiovascular diseases and obesity..

Obesity is the presence of excess fat in the body and this leads to serious health complications.

Some of the main factors of obesity are:

Eating too much Too little physical activities Sedentary lifestylePoor dietLittle sleep, etc.

Hence, we can see that based on the fact that obesity has to do with an unhealthy weight that a person accumulates that makes him prone to sicknesses and heart diseases, one of the consequences is metabolic syndrome.

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Which of these statements best describes the concept of procuring cause

Answers

The statement that best describes the concept of procuring cause is option A: the Actions that demonstrate the unbroken efforts of an agent that are responsible for the buyer making a decision to complete the sale.

What Is Procuring Cause?

A procuring cause in terms of real estate transactions is known to be  the real estate agent or broker that  his or her actions brought about the sale of the property.

Note that based on their actions, that real estate professional is known to be compensated with a commission from the sale of the property and as such, the statement that best describes the concept of procuring cause is option A: the Actions that demonstrate the unbroken efforts of an agent that are responsible for the buyer making a decision to complete the sale.

See full question below

Which of the following best defines the term procuring cause?

A.) Actions that demonstrate the unbroken efforts of an agent that are responsible for the buyer making a decision to complete the sale

B.) Being involved at some point in the transaction

C.) Scheduling and conducting open house tours

D.) Establishing a marketing plan for the listing

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Sandbox Sally's, Inc. is making some changes to the work schedules of its employees. Some of the employees are not happy with the changes. As their manager, Harry tells them that they can accept it or leave. Which of the following approaches to change implementation is Harry using

Answers

The approach to change implementation that Harry is using is:

Coercion

What is Coercion?

Coercion refers to the forceful approach to issues. Instead of using dialogue or some form of incentive, Harry forces his colleagues to do his bidding.

He asks them to either accept the condition or leave it. Their opinions do not count in this matter. Coercion is not a very good way for any manager to handle matters. It worsens instead of alleviates the problem at hand.

Better results will be recorded if Harry tries to deliberate on matters with his employees and seek better methods to improve things. If a manager forces his employees to do something, they will do it grudgingly and this will not be good for the organization in question.

To be a better manager, Harry should study his employees to understand the things that work for them. With this understanding, he will come up with better ways to handle difficult situations rather than coercing them to do his bidding.

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Before the switch is closed in the figure, the potential across the capacitor is 200 V. At some instant after the switch is closed, the instantaneous current is 0.70 A. What is the energy in the capacitor at this instant

Answers

The energy in the capacitor at the instant after the switch is closed, based on the potential across the capacitor is 31 mJ

What is the energy amount in the capacitor?

Because total energy is constant, this can be found by the formula:

= Initial energy in capacitor - Energy in inductor

The initial energy in the capacitor is:

= 0.5 x 4 x 10⁻⁶ x 200²

= 0.08J

The energy in the inductor is:

= 0.5 x 0.2 x 0.7²

= 0.049

The energy in the capacitor at that instant is:

= 0.08 - 0.049

=0.031 j

= 31 J

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What is the best approach when you are faced with an unexpected roadblock in your fitness plan? pls help ill give brainliest According to plato, when the intellect itself is governed by reason, we exhibit: ________A. Temperance. B. Courage. C. Wisdom. D. All of these answers are correct A linear machine is connected as shown in Fig. 1. The input source voltage Vin=10V, the internal resistance Rin=0.05. The applied force F=10N. The magnetic field density B=0.5T. The rail width l=200mm. (50 pts) Proponents of "no taxation without representation" claimed that although trade regulation was a legal means for parliament to raise revenue, direct internal taxes such as the stamp act were an illegitimate extension of parliamentary power. True or false?. Why do folklores get adapted over time? Give two examples of how your interaction with others is affected at BAC increases. A nurse is caring for a client who is in the transition phase of labor and reports a pain level of 7 on a scale of 0 to 10. Which of the following actions should the nurse take Shaysa's rebellion was significant because it demonstrated? Angle 1 and Angle 2 are complementary angles. Angle 1 is 5x degrees. Angle 2 is 50 degrees. Find the value of x. Type ONLY the number. ) Suppose that we have a bucket of 30 red balls and 70 blue balls. If we pick 20 balls uniformly out of the bucket, what is the probability of getting exactly k red balls Simplify the expression 3(x + 2)(x2 x 8). (6 points) A vector is 14.4 m long andpoints in a 133 degreedirection.Find the x-component of thevector. A corporation is offering 300,000 shares to the public at $15 per share. The manager's fee is $.15 per share, the underwriter's fee is $.20 per share, and the concession is $.65 per share. Participations are 100,000 shares for the manager and 200,000 shares for the underwriting syndicate. Retentions are 100% for the manager and 75% for the syndicate members. How much does the public pay per share What are two purposes of a free press Please help!You release a pendulum of mass 1 kg from a height of 0.75 m.A. If there is no air resistance, how fast is the pendulum going when it reaches the bottom?B. If the pendulum loses 18% of its initial energy by the time it reaches the bottom, how fast is it going when it reaches the bottom?C. If the pendulum loses another 7% of its remaining energy by the time it reaches the other side, how high does it go?D. After a few minutes, the pendulum is no longer swinging at all explain why this happens, in terms of energy. . If f(x)=3x^2+x-2, then f(-2)= The process of ""systematically gathering and analyzing quantitative and qualitative information to determine whose interests should be taken into account throughout the project"" is called:_________. A soil test recommends applying 193 lbs N per acre. Using a 36-6-18 fertilizer, how much fertilizer is needed to meet the recommendation? Round your answer to nearest whole number. Wayfair is deciding between two different catalogs to customers. one catalog costs $0.50 to produce, is 50 pages long, has a 5% conversion rate, and the average converted customer brings in $315. the second catalog costs $0.95 to produce, is 100 pages long, and a converted customer brings in $300. what does the conversion rate of the second catalog need to be in order to make the same amount of profit as the first catalog