Given that the age of the discovered bone is 8000 years, The original amount of carbon 14 that is in this bone is 38.29%
What is carbon 14?This is a method of radiocarbon that isused in the age determination of substances. That is after the dacay of nitrogen.
The formula that is used to determine the original amount of carbon 14 in the bone is given as:
[tex]y = ae^-^0^.^0^0^0^1^2^t[/tex]
The value of t is given as 8000.
What is to be done is to solve the equation using the value of t
[tex]y = ae^-^0^.^0^0^0^1^2^(^8^0^0^0^)[/tex]
= ae⁻⁰.⁹⁶
Solve for exp(-0.96)
y = 0.3829a
= 38.29%
Therefore the amount of carbon 14 that is in the bone is 38.29%
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17.1 equation of a circle evaluate homework and practice
Based on the calculations, the radius of this circle with the given equation is equal to 5 units.
Given the following data:
[tex]x^2+y^2+8x-6y+21=0[/tex]The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where:
h and k represents the coordinates at the center.r is the radius of a circle.Expanding the equation, we have:
[tex]x^2+y^2-2hx-2ky+(h^2+k^2-r^2)=0\\\\r=\sqrt{h^2+k^2}[/tex]
Comparing the terms, we have:
[tex]-2hx = 8x\\\\-2h=8\\\\h=\frac{8}{-2}[/tex]
h = -4
[tex]-2ky = -6y\\\\-2k=6\\\\k=\frac{6}{-2}[/tex]
k = 3.
Now, we can determine the radius:
[tex]r=\sqrt{-4^2+3^2}\\\\r=\sqrt{16+9} \\\\r=\sqrt{25}[/tex]
r = 5 units.
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According to this credit report how many accounts has lily had sent to collections
According to this credit report the number of accounts lily had sent to collections is zero.
What are collections on credit report?Collections are known to be a form of a continuation of debt owed and it is one that can stay on a person's credit report for like 7 years from the date the debt was said to first has become delinquent.
Based on the information that was given, there was no account that Lillie had sent to the collections and thus it is 0.
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Lesson 16 solve problems with equations answer key
Based on the calculations, the value of x and y in this equation are both equal to 5.
What is a system of linear equations?A system of linear equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).
Given the following data:
x + y = 10 .....equation 1.
x = 5. .....equation 2.
How to evaluate an equation.In order to evaluate the given mathematical equation, we would substitute equation 2 into equation 1 as follows:
[tex]5+y=10\\\\y=10-5[/tex]
y = 5.
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8-2 skills practice adding and subtracting rational expressions
The expressions 3/x + 5/y and 3/(8p^2r) + 5/(4p^2r) are algebraic expressions
The simplified expressions are (3y + 5x)/xy and 13/(4p^2r)
How to solve the rational expressions?From the complete question (see attachment), we have:
3/x + 5/y
Take the LCM
3/x + 5/y = (3y + 5x)/xy
Also, we have:
3/(8p^2r) + 5/(4p^2r)
Take the LCM
3/(8p^2r) + 5/(4p^2r) = (3 + 10)/(4p^2r)
Evaluate the sum
3/(8p^2r) + 5/(4p^2r) = 13/(4p^2r)
Hence, the simplified expressions are (3y + 5x)/xy and 13/(4p^2r)
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To the heated water 0.5 kg of water at t3 = 20° c is added. what is the final temperature of the water, in kelvin?
The final temperature of the water after addition to the heated water at 20° C in degree kelvins' is calculated as; 295.23 K
What is the Final Temperature?We are given;
mass of the initial water; m₁ = 2.5 kg
specific heat capacity of water; c = 4189 J/kg.K
initial temperature of water; T₁ = 13.5 ⁰C
final temperature of the water; T₂ = 22.5 ⁰C
mass of the final water; m₂ = 0.5 kg
initial temperature of the final water; T₁,i = 20 ⁰C
If the system is isolated, then we have;
m₁*c*(T_f - T₂) + m₂*c*(T_f - T₁,i) = 0
c will cancel out to give;
[2.5T_f - (2.5*22.5)] + [0.5T_f - (0.5*20)] = 0
2.5T_f - 56.25 + 0.5T_f - 10 = 0
3T_f = 66.25
T_f = 66.25/3
T_f = 22.08°C = 295.23 K
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Probability and statistics for engineers and scientists 9th
Probability and Statistics for Engineers and Scientist is known to be a 9th Edition that was written by Walpole and Mayers, Ye. It is a book that address all questions related to Probability and Statistics.
What is Probability and statistics?The term probability and statistics is known to be an aspect or a branches of mathematics that helps to depicts the different laws that monitors random events, such as the collection.
Probability and Statistics for Engineers and Scientist is known to be a well defined and explained book that can help students in the field of engineering and it is said to be trusted.
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6-5 additional practice properties of special parallelograms
The properties of parallelograms are contained below:
They have opposite sides which are congruent to each other. BC = EDThey have Opposite angles which are congruent also.Consecutive angles are known to sum up to 180 degrees. They are supplementary.If an angle is right, all other angles are right.The diagonals are said to bisect each other.What is a parallelogram?This is a shape that is known to have four sides. Each of the sides is parallel to the side that is oppositev it.
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Go math grade 7 practice and skills fluency workbook answer key
There are a lot of math for grade 7. An example of practice and skills fluency work is Adding and Subtracting Integers.
An example of Adding and Subtracting Integers is: Solve for -5+(-3)
−5+(−3).
What is the rule for adding integers?Note that to add integers having the same sign, one has to keep the same sign and then they can add the absolute value of each number.
We are given the expression −5+(−3)
The next step is to use counters to stand in place of the numbers -5 and -3:
Note that there are 5+3 - -8 counters and all the counters stands as negative integer.
To evaluate the expression, on can see that there are:
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Christopher runs a farm stand that sells apples and bananas. Yesterday christopher sold 35 pounds of apples and 34 pounds of bananas for a total revenue of $163. 50. Today he sold 15 pounds of apples and 17 pounds of bananas for a total revenue of $76. 75. Determine the price of each pound of apples and the price of each pound of bananas
The equation computed shows that the price of apple is $2 and the price of banana will be $2.75.
How to compute the equation?Christopher sold 35 pounds of apples and 34 pounds of bananas for a total revenue of $163.50. This will be:.
35a + 34b = 163.50
He also sold 15 pounds of apples and 17 pounds of bananas for a total revenue of $76.75. This will be:
15a + 17b = 76.75
Equate both equations
35a + 34b = 163.50 ..... i
15a + 17b = 76.75 ...... ii
Multiply equation i by 15.
Multiply equation ii by 35
525a + 510b = 2452.50 .... iii
525a + 595b = 2686.25 .... iv
Subtract equation iii from iv
85b = 233.75
b = 233.75/85
b = 2.75.
The price of banana is $2.75.
The price of apple will be:
35a + 34b = 163.50
35a + 34(2.75) = 163.50
35a + 93.50 = 163.60
35a = 163.50 - 93.50
35a = 70
a = 70/35
a = 2
The price of apple is $2.
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Question 1 with 1 blank si la puerta no está abierta, está 1 of 1. Question 2 with 1 blank marco está 1 of 1 porque tiene un examen hoy. Question 3 with 1 blank juan necesita dormir porque está 1 of 1. Question 4 with 1 blank felipe está 1 of 1 porque no encuentra nada interesante que hacer. Question 5 with 1 blank ana está 1 of 1 porque no encuentra el libro que busca. Question 6 with 1 blank debes limpiar (clean) el piso porque está 1 of 1
The missing words in the presented sentences are:
cerradapreocupadocansadoaburridoenojadasucioHow to identify missing words?To identify the missing words in each sentence, we must review its basic structure, making sure that it has a subject, verb, and complement.
Additionally, we must identify to which category the missing words correspond, in this case they are adjectives. According to the above, the complete sentences would look like this:
1. Si la puerta no está abierta, está cerrada.
2. Marco está preocupado porque tiene un examen hoy.
3. Juan necesita dormir porque está cansado.
4. Felipe está aburrido porque no encuentra nada interesante que hacer.
5. Ana está enojada porque no encuentra el libro que busca.
6. Debes limpiar el piso porque está sucio.
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A wave of infrared light has a speed of 6 m/s and a wavelength of 12 m. What is the frequency of this wave? 0. 5 hz 2. 0 hz 18 hz 72 hz
Answer:
0.5hz
Explanation:
What would be the best search terms to use for a research project about the health benefits of exercise?
Answer: health benefits, exercise
Explanation:
Answer:
health benefits, exercise
Explanation:
Search terms are the words and phrases you enter into a search engine.
15.1 central angles and inscribed angles evaluate homework and practice
An example of 15.1 central angles and inscribed angles practice is is what is the name of the given chord, inscribed angle and central angle in the image ( attached)
What are central angles?This angle is known to be often called central based on the fact that its vertex is at the center.
The names of the chord is _AB and _BD
The name of the central angle is ∠ACD
the name of the Inscribed angle is ∠ABD
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classify each item as either part of the m2 measure of the money supply or as not part of the money supply.
The classification of each item as either part of the M2 measure of the money supply or as not part of the money supply is; detailed below
What is the classification of each item?M2
- $900 billion in checkable deposits
- $2 trillion in savings accounts
- $1.25 trillion in small time deposits
- $900 billion in cash held by the public
- $650 billion in money market accounts
Not in the money supply
- $3trillion in government securities belonging to the Federal Reserve
- $4.5 trillion in credit card debt
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Which of these is not a reason for percent yield to be less than theoretical yield?
Answer:>incomplete reactions, in which some of the reactants do not react to form the product
practical losses during the experiment
->side reactions (unwanted reactions that compete with the desired reaction)
->reversible reactions
->impurities in reactants
explantion
not a reason? if you ask a reason ,i can say An actual yield is the mass of a product actually obtained from the reaction. It is usually less than the theoretical yield. The reasons for this include:
Exercise will help you prepare for the material covered in the next section. solve: −2x − 4 = x 5
Answer:
-4/7
Explanation:
5x+2x=-4
x=-4/7
i think its the answer
the elastic rebound theory for the origin of earthquakes was first proposed by ________ following the ________ earthquake.
Answer:
1. 1906 2. San Francisco
a persistent pattern of disregard for and violation of the rights of others; callousness, or lack of empathy; deceitful; aggressive, manipulative; little to no capacity for intimacy in personal relationships; failure to confirm to social norms and laws; disregard for work, school, and family obligations; commonly referred to as sociopath.
A persistent pattern of disregard for and violation of the rights of others which is commonly known as sociopath is an: antisocial personality disorder (ASPD).
What is ASPD?ASPD is an acronym for antisocial personality disorder can be defined as a type of personality disorder that is primarily characterized by disregard for people, destruction, violation of people's rights, infliction of injuries on others and a lack of close friendships or relationships.
In Psychology, an antisocial personality disorder (ASPD) includes the following characteristics and signs:
Lack of empathy.CallousnessDisregard for school, work and family obligations.Non-conformance to social norms and laws.Read more on personality disorder here: https://brainly.com/question/25764595
help pls hurry time ticking hurry plsssssssssss
Answer:
option 1
Explanation:
cuz and open circle means a greater than or less sign and the down shaded part means 22 is greater
hope it helps :D
Answer:
The answer is C
Explanation:
It matches the graph shown.
Based on the excerpt, what inferences can be made about the story’s setting? it is located on a farm with many field hands and employees. It is located on a wide, isolated expanse of farmland. It is in a small town where everyone is friendly toward one another. It is in a deserted town in which mysterious events occur
The inference that can be made from the story setting is "It is located on a wide, isolated expanse of farmland".
What is the setting of the story?The setting of a story is known to be the exact location where a story was said to have occurred.
Note that the setting can be anywhere such as home, school, etc. The story setting from the above excerpt is that it is located on a wide, isolated expanse of farmland".
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Answer:
B) It is located on a wide, isolated expanse of farmland
Explanation:
i read the text above
At which event must special care be taken when preparing food
Answer:
occasions
Explanation:
During occasions such as Easter, Christmas etc when preparing a food take risk and measures make it delicious
A swimsuit is on sale for $ 29.75 . if the original price of the swimsuit is $ 35 , what is the percent of the discount?
The percentage of the discount of the swimsuit with original price of $35 and current price of $29.75 is; 15%
What is the discount percentage?We are given;
Current price of swimsuit = $29.75
Original price of swim suit = $35
Thus;
Difference in price = $35 - $29.75
Difference in price = $5.25
Percentage discount = 5.25/35 * 100%
Percentage discount = 15%
In conclusion, the percentage of the discount of the swimsuit is 15%
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The writer is considering deleting the underlined independent clause in sentence 7 (reproduced below), adjusting the punctuation as necessary. In a classic experiment, students who watched their schools compete in a football game subsequently remembered the adversary’s team performing worse than their own: confirmation bias caused the students, who already believed in their own school’s superiority, to interpret what they had seen as support for their preexisting beliefs. Should the writer keep or delete the underlined text?
The answer to whether the writer should keep or delete the underlined text is; Keep it, because it provides an example that explains how confirmation bias affects memory
What are clauses and punctuations?In language, a clause is a constituent that connects a semantic predicand and a semantic predicate. A common clause is made up of a subject and a syntactic predicate, the last ordinarily an action word with any items and different modifiers.
A modifier clause depicts or gives more data about the action word lets us know when, where, how, how much, or under what condition something is going on. Model she cried in light of the fact that her shell was broken. A thing clause replaces a thing in the sentence.
Punctuation fills our composition with quiet inflection. We stop, stop, underline, or question utilizing a comma, a period, an interjection point or a question mark.
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According to the law of supply, sellers are likely to reduce their supply of a good when
Answer:
sellers all suppliers are likely to reduce the supply of goods when there is a a decrease in the prices of the complementary goods. similarly the prices can be lowered when there is an exhaust supplies in the market. this means that when the supply is higher the prices tends to be lower and the demand decreases.
Answer: the goods selling price has gone down
Explanation: just took test
Does a geometric series always have a finite value?
Answer:
Yes.
Explanation:
A geometric series has a finite value only when the common ratio, r, is – 1. What is the sum of infinite series? An infinite series has an infinite number of terms. The sum of the first n terms, Sn, is called a partial sum.
Algebra 2 volume 2 houghton mifflin harcourt answers pdf
Algebra is a way we solve mathematical equations and the solution to the Algebra 2 in volume 2 exercise in the Hughton Mifflin pdf is 6.
What is algebra?Algebra is a field of mathematics that aids in the presentation of word problems using mathematical expressions.
To construct a meaningful mathematical expression, variables (e.g. a,b, and c, etc) are combined with mathematical operations such as addition, subtraction, division, and multiplication.
From Algebra 2 volume 2 Mathematics: Chapter 12, Excercise 6, we have:
Find f(3) in f(x) = 0.75(2)ˣWe will replace x with (3) wherever we find (x)
So, f(3) = 0.75(2)³f(3) = 0.75(8)f(3) = 6Learn more about algebra here:
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Why can’t the moon be eclipsed when it is halfway between nodes of its orbit?
Answer: Because the moon's orbit is at it's maximum deviation, meaning that it is leaving it's course from the sun's path, which would make the shadow fall way below or above the moon. So, because of that, the moon can't eclipsed.
Hope this helps!
a A force of 100N is required to stretch a string that obeys Hooks law by 50cm. What is the work done in stretching the spring?
Answer:
[tex]workdone \: in \: stretching \: a \: spring \: = \frac{1}{2}ke {}^{2} \\ workdone = \frac{1}{2}fe \\ beause \: f = ke \\ f = 1000 \: \: x = 50cm \: = 0.5m \\ w = \frac{1}{2} (100)(0 .5) { }^{2} \\w = 12.5 \: newtonpermetre[/tex]
What is the temperature of 12.20 mol of gas in a 18.35 l tank at 16.40 atm? round your answer to the tenths place.
Based on the calculations, the temperature of this ideal gas is equal to 300.5 K.
How to calculate the temperature.Mathematically, the temperature of an ideal gas is given by this formula:
[tex]PV=nRT\\\\T=\frac{PV}{nR}[/tex]
Where:
P is the pressure.R is the ideal gas constant.T is the temperature.n is the number of moles.V is the volume.Given the following data:
Number of moles = 12.20 moles.
Volume = 18.35 L.
Pressure = 16.40 atm.
Substituting the given parameters into the formula, we have;
[tex]T=\frac{16.40 \times 18.35}{12.20 \times 0.0821}\\\\T=\frac{300.94}{1.00162}[/tex]
T = 300.5 K.
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15.1 central angles and inscribed angles homework answers
The central and inscribed angle theorem is used to solve angles and arc measure in a circle.
What is the Central and Inscribed Angles Theorem?The theorem shows the relationship of the measures of an inscribed angle, central angle, and their intercepted arc.
It states that:
central angle measure = measure of inscribed angle.inscribed angle measure = 1/2(measure of inscribed angle)Therefore, the central and inscribed angle theorem is used to solve angles and arc measure in a circle.
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