The pair two numbers whose difference is 14 and the product is as small as possible (i.e. -49) are (-7,7)
What are word problems?In mathematical concepts, word problems involve a crucial understanding of the problem and knowing which mathematical method and arithmetic operations are best suited to solving the problem.
If we assume that the smaller number should be = a and the larger number = a + 14.
Thus, their product (X) can be expressed as:
= a(a+14)
= a² + 14a
The smallest possible value implies the minimum value, i.e.
[tex]\mathbf{\dfrac{dX}{da} = 2a + 14}[/tex]
Thus,
2a + 14 = 0
a = - 14/2
a = -7
Therefore, we can conclude that the pair of two numbers whose difference is 14 and the product is as small as possible (i.e. -49) is (-7,7).
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What determines the genetic code of a region of dna?
Explanation:The sequence of the bases?, A, C, G and T, in DNA determines our unique genetic code and provides the instructions for producing molecules in the body. The cell reads the DNA code in groups of three bases.
projects s and l are equally risky, mutually exclusive, and have normal cash flows. project s has an irr of 15%, while project l’s irr is 12%. the two projects have the same npv when the wacc is 7%. which of the following statements is correct?
Based on the IRR of Projects S and L, their risk, and the WACC, the correct statement is b. If the WACC is 13%, Project S will have the higher NPV.
What happens when WACC is 13%?The IRR is rate of return that takes the NPV to zero. This means that if a project's WACC is less than IRR, then the NPV for that project will be less than 0.
Project L has an IRR of 12% which means that if the WACC is 13%, the NPV for this project will be negative.
Project S on the other hand would still have an IRR that is larger than the WACC and so would have a positive NPV.
In conclusion, option B is correct.
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Rachel, adam, michelle, hannah, and james are going to the movies. They have $65 to spend on tickets and snacks. Each movie ticket costs $9. 50, and each snack item costs $4. 50. How many snacks can they buy to split among them? this problem is modeled by the inequality 5(9. 5) + 4. 5x ≤ 65, which is equal to 47. 5 + 4. 5x ≤ 65. The first step in solving the inequality is to. The second step is to. The five friends will have to split snacks
Answer:
The first step in solving the inequality is to
✔ subtract 47.5 from both sides
.The second step is to
✔ divide both sides by 4.5
.The five friends will have to split
✔ 3
snacks.
Explanation:
Evaluate the extent to which african countries were able to conduct independent policies during the cold war period
The extent to which African countries were able to conduct independent policies during the cold war period was one that was rigorous.
It was found out that only two African states such as Ethiopia and Liberia survived while a lot of others failed but there were lots of agitations and movements by African countries against foreign policies and involvement.
What was the independence movements about?The Independence movement in Africa was one that began in the early 1960’s. It is one that brought about a lot of foreign policy opportunities to the United States as well as the Soviet Union.
A lot of African countries were able to conduct independent policies during the cold war period through the use of different movement such as the African nationalist movement and other forms of agitations.
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An executor should be willing and reliable because brainly
The reason why the executor should be reliable is because; such a person is dealing with a very delicate thing that loss could be devastating.
What is the role of an executor?An executor is simply a person named in a will whose job it is to sort out the estate of the person who has died. The estate includes everything owned such as money, property and possessions.
Before appointing someone as an executor, it is very vital to carry out a background checks to ensure that the person has not been found guilty of fraud, theft or unethical practices in the past. This is because the person must have integrity to carry out this role.
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Answer:
need to be trusted to carry out will instruction
Explanation:
What is ironic about this excerpt? the ballerina is described as beautiful, but she is actually hideous. the news bulletin being read on the television is about harrison. the ballerina is able to read the news bulletin flawlessly while wearing a mask and handicap bags. the handicaps devised to conceal the ballerina’s strength and beauty actually accentuate them.
Thes statement 'the handicaps devised to conceal the ballerina’s strength and beauty actually accentuate them' is ironic about this excerpt.
What is irony?The irony is a phrase used to express exactly the opposite that words want to indicate about a situation.
Generally, ironies are used by adding humorous effects or emphasis on the declaration and/or expression.
The irony is an excellent literacy resource to think about a situation and/or a given context.
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In the electrolysis of a molten mixture of rbcl and kbr. identify the product that forms at the negative electrode and at the positive electrode.
The product that are formed at the negatively charged electrode (cathode) and at the positively charged electrode (anode)
Strontium at cathode.Chlorine at anode.What is electrolysis?Electrolysis can be defined as the chemical decomposition of a chemical compound or substance into their respective elements by passing direct electric current through them in a solution (liquid) containing ions.
In the electrolysis of a molten mixture of rubidium chloride (RbCl) and Potassium bromide (KBr), the product that are formed at the negatively charged electrode (cathode) and at the positively charged electrode (anode)
Strontium at cathode.Chlorine at anode.Read more on ions here: https://brainly.com/question/11638999
China’s government discourages population growth through all of the following measures except __________. A. Subsidizing daycare for large families b. Fining couples with more than one child c. Offering maternity leave to one-child families d. Requiring that all couples in urban areas have only one child please select the best answer from the choices provided. A b c d
Answer:
the answer is A, for edge.
Explanation:
Envisionmath 2.0, additional practice workbook, accelerated grade 7 solutions
An example of Envision math 2.0, additional practice work is how many percussionists in the orchestra of 20% . 60.
What is this math book about?The Envision Math 2. 0 is known to be a kind of additional work that was made for Grade 7 by a man known as Scott Foresman so as to improve the math knowledge of the student.
To solve for the Percentages, note that 20% can still be written as 0.2.
To calculate the number of percussionists, we can say that:
20%.60
=0.2. 60
= 12
Therefore, there are 12 percussionists in the above orchestra.
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Lesson 27 making statistical inferences answer key
A statistical inference is a process through which a researcher or analyst makes inferences about a population based on the statistics calculated from the sample.
What is the use of Statistical Inference?The purpose of statistical inferences are:
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A board that is 12 feet long must be cut into two pieces
Answer:
6 feet
Explanation:
If you're asking how long each piece is it will be 6 feet.
12 divided by 2 is 6.
It is the amount of fat cells compared with lean cells in the body mass
Answer:
Lean Body Mass
Explanation:
is calculated as the difference between total body weight and body fat weight
High student loan payments can impact all of the following life decisions except _____.
High student loan payments can affect many decisions but not the decision of getting married.
What are the effects of high student loan payments?High student loan payments mainly affect the money people have every month after paying the loan. This factor can affect money-related decisions such as:
The money they can spend on food, housing, clothing, etc.The possibility of buying a house or a car.The amount of money they can save.What life decisions are not affected?Decisions that are not directly related to money such as getting married are not affected by high loan payments.
Note: This question is incomplete because the options are missing; here is the missing section:
a)getting married
b)buying a car
c)being able to afford food
d)buying a house
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Erin has weak feelings of ethnic identity with her Scottish heritage and a strong sense of acculturation with the United States, proclaiming that she is an American and that is that! Erin would be considered:
Separatist
Assimilated
Bicultural
Marginal
Answer:
Explanation:
If her country is currently the United States, then she is Assimilated. She is adamant about what she is. That means her heritage does not matter very much to her.
If you’ve insured a home for $200,000 and the home is only worth $150,000, you can only receive $150,000 at the most if you file a claim.
Answer:
yes,
Explanation:
200,000 - 150,000 = 150,000
Gerry bought two apples and five oranges for 4.75 Molly bought four apples and one orange from the same store for 2.75 what is the combined cost of one apple and one orange
Answer:
Try adding the amounts as a start?
Explanation:
I forget how to complete these equations. We went over this back in Algebra 1.
Scan the highlighted line by clicking on either an accent mark ( ) or breve ( ) and putting it in its correct position. symbols will be used more than once. use a dictionary for help.
The right position for the highlighted line are:
For U symbol over: the, has, r'd (in weathr'd) ry (in every) the, we, isFor ' symbol over: ship, weat (in weather'd) ev (in every) rack, prize, sought, wonWhich is an accent mark?Accent marks are known to be a kind of symbols that are often employed over letters, such as vowels.
These marks are known to help a person to show or emphasize the right or correct pronunciation of a word. They are the marks that are often found in languages such as French, German, etc.
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A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in the box. express your answer using π .
Assuming the radius is 5.4m. The exact length of an arc formed by a central angle measuring 60° is 1.8π or 5.65.
Length of an arcArc length of the circle=(theta)/360×pi×diameter
Diameter=2×radius
Where:
radius=5.4
Diameter=2×5.4=10.8
theta=60°
Arc length:
Arc length=60°/360°×π×10.8
Arc length=5.6548667765 or 1.8π
Inconclusion the exact length of an arc formed by a central angle measuring 60° is 1.8π or 5.65.
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Answer:
1.8π
Explanation:
central angle/360=x/2πr
60/360=x/2(5.4)(π)
36x/36=6x2x5.4xπ/36
x=64.8π/36
x=1.8π
Choose the best answer. If i'm very good with numbers, which career should i probably choose? agricultor artista contador cantante
Answer:
contador
Explanation:
Answer:
i seak a littl spanish so contador is correct.
Explanation:
15.5 angle relationships in circles evaluate homework and practice
The measure of angle MPK is acute angle between the intersecting lines
The measure of MPK is 86 degrees
How to determine the measure of the angle?To calculate the angle measure of MPK, we use the following equation:
MPK = 0.5 * (MK + LN)
From the figure, we have:
MK = 61
LN = 111
So, we have:
MPK = 0.5 * (61 + 111)
Evaluate the product
MPK = 86
Hence, the measure of MPK is 86 degrees
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According to the video, what are the purposes of the dodd-frank act? check all that apply
Answer:
where's the video?
Explanation:
where da video at gang?????
Choose the best spanish word to complete the sentence. ________ (speak) más despacio, por favor.
Answer:
Habla
Explanation:
Habla means to speak.
You work every saturday from 9:00 a.m. to 5:00 p.m. find the measure of the angle generated by the hour hand of a clock during this time in both degrees and radians. compare this angle with the angle generated by the minute hand from 9:00 a.m. to 5:00 p.m.
The angle generated by the hour hand measures -270° or -4.71 radians, and we will see that the angle generated by the minute hand is 12 times the one generated by the hour hand.
How to get the angle generated?Remember that in a complete rotation we have an angle of 360°, and in a complete rotation we have 12 hours, then there is a relation:
12 hours = 360°
1 hour = 360°/12 = 30°
From 9:00 a.m to 5:00 p.m. there are 9 hours, so the angle that the hour hand does is:
A = 9*(30°) = -270°
(the negative sign is because this angle is measured clockwise)
Now we can write this in radians, remember that:
3.14 radians = 180°
Then:
1 = (3.14 rad/180°)
Then:
270° = -270°*(3.14 rad/180°) = -4.71 rad
What is the angle generated by the minute hand?Each hour that passes, the minute hand does a complete revolution. Then in 9 hours, the minute hand does an angle of:
A = 9*(-360°) = -3,240°
To compare this angle to the one generated by the minute hand we take the quotient:
-3,240°/-270° = 12
So this angle generated by the minute hand is 12 times the one generated by the hour hand.
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What is the appropriate sequence of events for protein synthesis?
Answer:
transcription and translation.
Explanation:
Protein synthesis is the process in which cells make proteins. It occurs in two stages: transcription and translation. Transcription is the transfer of genetic instructions in DNA to mRNA in the nucleus.
hope this helps
have an awesome day -TJ :)
How many ways are there to assign three jobs to five employees if each employee can be given more than one job?
The number of ways to assign three jobs to five employees if each employee can be given more than one job is 125 ways.
What does an assigned job implies?The term means the act of giving any duty or any assignment to a person, People are often assign to different jobs in the office.
Note that there are 3 jobs and 5 employees. So the equation will be
5³ =125
So, therefore, there are 125 ways to assign the job.
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What do we have to do to the conversion factor if we are dealing with units that measure area?
You would cube it so if theres a cube it answer than use that
The conversion factor to the units of the measure of area is squared. Thus, option D is correct.
What is a conversion factor?A conversion factor is given as the number that enables the changing of one set of units to another with the help of mathematical operations such as division or multiplication.
The area can be given as the region that is found bounded within the shape. The unit of area has been measured in square units. Thereby the conversion factor dealing with the area made to be squared. Thus, option D is correct.
The complete question is attached in the image.
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Which type of climate can be found in the us between the appalachian and rocky mountains?
Answer:
temperate grasslands
hope this helps
Big ideas math geometry chapter 9 practice test answers
The decomposition of n2o5 can be described by the equation 2n2o5(soln)⟶4no2(soln)+o2(g) consider the data in the table for the reaction at 45 ∘c in carbon tetrachloride solution.
The reaction rate between 0 -195 seconds for the decomposition of N2O5 is 0.0006 M/s.
What is the rate of a reaction?The rate of reaction can be estimated in terms of the consumption of the reactants in the reaction.
From the given information, the equation N2O5 has been the reactant that has been used in 2 moles.
The rate of the reaction is expressed as:
[tex]\mathbf{Reaction \ rate = -\dfrac{1}{2} \times \dfrac{dN_2O_5}{dt}}[/tex]
The reaction rate for a time interval between (0 - 195) sec is expressed as follows:
[tex]\mathbf{Reaction rate = -\dfrac{1}{2} \times \dfrac{1.86556-2.10195}{195s - 0s}}[/tex]
[tex]\mathbf{Reaction \ rate = -\dfrac{1}{2} \times \dfrac{-0.23639}{195s}}[/tex]
= 0.0006 M/s.
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Thomas made use of bright and glaring font colors for his website. how does this practice affect the core message of the website?
Answer:
The answer is D :) on plato
Explanation: