The required values of x in the interval 0° ≤ x ≤ 360° are 146.1° and 326.1°, when the value of tan x is given.
The interval of angle is given as 0° ≤ x ≤ 360°.
The value of x for which tan x is given as, tan x = - 0. 6745.
We have tan negative in two of the four axes, they are second (90° - 180°) and fourth quadrants (270° - 360°).
So, tan x = - 0. 6745
x = tan⁻¹ (- 0. 6745) = -33.9
As periodicity of tan x is 180°, x = 180-33.9 = 146.1°
x = 360-33.9 = 326.1°
Thus, the required values of x in the interval 0° ≤ x ≤ 360° are 146.1° and 326.1°, when the value of tan x is given.
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Bobs gift shop sold a record number of cards for Mother’s Day. One salesman sold 36 cards, which was 4% of the cards sold for Mother’s Day. How many cards were sold for Mother’s Day
The number of cards were sold for mother's day is 900 cards.
How to calculate total number using percentage?To calculate a total number using a percentage, first identify the percentage and the total number. Then divide the percentage by 100 to convert it to a decimal fraction. Finally, multiply the total number by the decimal fraction to calculate the total number.
For example, if the percentage is 10% and the total number is 200, first divide 10% by 100 to get 0.1. Then multiply 0.1 by 200 to get 20. The total number is 20.
In another example, if the percentage is 25% and the total number is 500, divide 25% by 100 to get 0.25. Then multiply 0.25 by 500 to get 125. The total number is 125.
It is important to remember that percentages are based on a whole, which is usually 100. Therefore, to use percentages to calculate a total number, it is necessary to first convert the percentage to a decimal fraction by dividing it by 100. Then, multiply the total number by the decimal fraction to calculate the total number.
36 cards is 4% of the total cards sold for Mother's Day.
Total number of cards = 36 / 4%
Total number of cards = 36 x 100/4
Total number of cards = 900 cards.
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the equation above can be used to model the population, in thousands, of a certain city t years after 2000. according to the model, the population is predicted to increase by 0.5% every n months. what is the value of n ?
The value of n=36 months.
It is given that the population is predicted to increase by 0.5%. To know the value after the increment, 215 has to be multiplied by (1 + 0.005) or 1.005.
In the equation P = 215(1.005)t/3, the value of t/3 has to be equal to 1 for a 0.5% increase.
The population increases by 0.5 % every n month.
Initial Population = 215
Final Population:
=215+215*0.5/100
=215.1.074
=216.074
Substituting the value of, Initial and final Population
[tex]216.075=215*(1.005)^\frac{t}{3} \\\\(1.005)^\frac{t}{3} =\frac{216.075}{215}\\ \\(1.005)^\frac{t}{3}(1.005)^1\\\\\\frac{t}{3} =1[/tex]
t=3 years=>36 months.
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Solve for x and the missing angles in the diagram below: x = The missing angles are °, ° and °.
The measure of {x} equals to 8 and ∠WYZ is 32°.
What is a radian?The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics
Given is the figure as shown in the image.
It is given that ∠XYZ = 106°. We can write -
∠XYZ = ∠XYW + ∠WYZ
106 = 70 + 5x - 4
5x + 66 = 106
5x = 40
x = 8
∠WYZ = 5x - 8 = 5 x 8 - 8 = 32°.
Therefore, the measure of {x} equals to 8 and ∠WYZ is 32°.
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Someone please help! I'm in Algebra 1 and this is supposed to be a puzzle.
a^x a^y = a^88 x and y differs by 32
The solution of the system is x = 60 and y = 28.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
An algebraic equation,
[tex]a^{x} a^{y} = a^{88}[/tex]
When the base value is the same, we can add the exponents.
x + y = 88
And x - y = 32
Now, we have the system of equations,
Adding both the equations,
2x = 120
x = 60
And y = 28.
Therefore, the values are x = 60 and y = 28.
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Please help. I'm not sure how to solve these.
In a large corporation, the times that it takes its employers to commute from home to office are normally distributed with a mean commute time of 29 minutes and a standard deviation of 7 minutes. Using this information, answer the following questions.
What is the probability that a randomly selected employee will take less than 20 minutes to commute to work?
If an employee can drive to work in 37 minutes, at what percentile would his commuting time rank?
What percentage of the employees take between 25 and 45 minutes to drive to work?
If an employee drives an hour to get from home to work, is that considered an unusually long commute?
The required probability and percentage for the employee to commute from home to office is :
a. probability for less than 20 minutes is 0.09852.
b. percentile for 37 minutes is 64%
c. percentage of the commute between 25 and 45 minutes is 70.49%.
Normally distributed data for the employers to commute from home to office :
Mean 'μ' = 29 minutes
Standard deviation 'σ' = 7 minutes
let 'X' represents the time taken by employee to commute.
a. Employee take less than 20 minutes to commute
Probability of taking time less than 20 minutes is:
P ( X < 20 )
= P [ ( X -μ )/ σ < ( 20 - 29)/7 ]
= P( Z < -9/7)
= P( Z < -1.29 )
= 0.09852
b. Employee take 37 minutes then percentile is :
P ( X =37 )
= P [ ( X -μ )/ σ = ( 37 - 29)/7 ]
= P( Z = 8/7)
= P( Z = 1.14)
= 0.64
= 64%
c. P ( 25 < X < 45 )
=P ( 25 -29 /7 < X -μ /σ < 45 -29 /7 )
=P ( -4/7 < Z < 16/7 )
= P( -0.571 < Z < 2.29 )
= P ( Z <2.29 ) - [1 - P( Z < 0.571 ) ]
= 0.9889 - ( 1 - 0.7160 )
= 0.7049
= 70.49%
Therefore, when the employee commute from home to office :
a. Probability of commuting less than 20 minutes is 0.09852.
b. Percentile of taking 37 minutes is 64%
c. Percentage between 25 and 45 minutes is 70.49%.
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How many solutions can be found for the system of linear equations represented on the graph?
Responses
A one solutionone solution
B no solutionno solution
C infinitely many solutionsinfinitely many solutions
D two solutions
The graph has (c) infinitely many solutions
How to determine the number of solutionsFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have two equations represented by
y = x + 2
-3x + 3y = 6
On the graph, we can see that the equations have the same line
This means that there are lots of solutions in the system i.e. infinite many solutions
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researching hairstyle ideas for herself, when Rohan, her
older brother, appeared at her door.
"Veena, can you trim my hair? The basketball team is
taking pictures tomorrow."
Veena rolled her eyes playfully. "If I have to!" she
replied, already reaching for the scissors and trimmer she
kept in her dresser.
"Like you'd give up the opportunity!" he teased back,
disappearing into the living room.
All anyone had to do was mention needing a cut or
style and Veena would materialize. Family, friends, and
everyone on their Staten Island block knew Veena wanted
to run her own hair empire one day. She had gotten her
start in elementary school by working on her dolls and
graduated to actual people in middle school when her
brother agreed to a haircut on a dare. Before long, Veena
had transformed everyone's hair around her except one
person's her own. Veena's mother loved her long black,
wavy hair and had requested that she keep it that way.
Complete the sentences to
summarize the events in this part of
the story.
Everyone knows that Veena has a
of running a large hair
ss someday. She got her
hair
dream
promise
fear
s a child. Now, the only
person's hair she hasn't cut is her own
because
prefers it
S
her
long.
Veena has a dream of running her own hair empire one day. She started cutting hair as a child and has since transformed everyone's hair. Her mother loves her long, black, wavy hair and has requested that she keep it that way. Veena is already well on her way to making her dream come true.
What is a summary?A summary is a shortened version of the key ideas in an article, book, speech, or other type of literature. It is a concise repetition of the key ideas, conclusions, and/or facts contained in the original text. Summaries are frequently used to provide a fast summary of the essential points in a larger book, making it simpler to absorb the main concepts in less time.
Summarize the events of the story.Veena has a dream of running her own hair empire one day. She first started cutting hair as a child, working on her dolls. In middle school, her brother agreed to a haircut on a dare and before long she was transforming everyone's hair around her. The only person's hair she hasn't cut is her own, because her mother loves her long, black, wavy hair and has requested that she keep it that way. Everyone knows that Veena wants to have her own hair salon someday and she is already well on her way to making that dream come true.
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Transport truck carries stereo computer and television parts
. The mass of the truck and the parts is 28 t
. The mass of the empty truck is 6 t
. The mass of the computer parts is 2 t less than the mass of television parts
. The mass of stereo parts double the mass of television parts
What is the mass of each type of parts?
The mass of television is 6t, the mass of computer is 4t and the mass of stereo is 12t.
We have to determine the mass of each type of parts.
A transport truck transports television, computer, and stereo components
1. The mass of the truck and the parts is 28t.
2. The mass of the empty truck is 6t.
3. The mass of the computer parts is 2t less than the mass of television parts.
4. The mass of stereo parts double the mass of television parts.
truck = 6t
part = stereo + television + computer
computer = television - 2t
stereo = television × 2
truck + parts = 28t
part = 28t - 6t
part = 22t
part = computer + television + stereo
part = television - 2t + television + television × 2
part = 4 × television - 2t
22t = 4 × television - 2t
4 × television = 24t
television = 6t
computer = 6t -2t = 4t
stereo = 6t × 2 = 12t
television = 6t
computer =4t
stereo = 12t
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Two pools are being filled with water. To start, the first pool contains 1600 liters of water and the second pool contains 1186 liters of water. Water is being added to the first pool at a rate of 20.25 liters per minute. Water is being added to the second pool at a rate of 31.75 liters per minute. After how many minutes will the two pools have the same amount of water? How much water will be in each pool when they have the same amount?
At 36 minutes, the amount of water in both pools will be same. In amount, it will be 2329 liters.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that two pools are being filled with water. To start, the first pool contains 1600 liters of water and the second pool contains 1186 liters of water. Water is being added to the first pool at a rate of 20.25 liters per minute. Water is being added to the second pool at a rate of 31.75 liters per minute.
We can write the equation for the first pool as -
y{A} = 1600 + 20.25x
Similarly, for the second pool is -
y{B} = 1186 + 31.75x
For the same amount of water -
y{A} = y{B}
1600 + 20.25x = 1186 + 31.75x
1600 - 1186 = 31.75x - 20.25x
x = 36
Amount of water in each pool will be -
y = 1600 + 20.25 x 36
y = 2329 liters
Therefore, at 36 minutes, the amount of water in both pools will be same. In amount, it will be 2329 liters.
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Evaluate each expression using the Order of Operations. -4(-1)+4
Answer: 8
Step-by-step explanation:
First you multiply -4(-1) a negative times a negative is a positive so that is positive 4 then you simply add 4 which equals 8
What is the quotient of 7.584x 10^6 and 7.9x 10^2
Answer: the quotient is 957.07 x 10^4 which is equivalent to 957,070
Step-by-step explanation:
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 9 above 80 to 89, at 9 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Flower Town.
When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?
IQR, because Desert Landing is skewed
IQR, because Desert Landing is symmetric
Range, because Flower Town is skewed
Range, because Flower Town is symmetric
Range provides a precise measurement of variability for both sets of data because it compares the greatest and lowest values in a dataset.
It is a helpful measure of variability for comparing the constancy of temperature between Desert Landing and Flower Town because it is unaffected by skewness or symmetry.
A Histogram: What Is It?The graphic representation of data points arranged into user-specified ranges is called a histogram.
The histogram, which resembles a bar graph in appearance, condenses a data series into an intuitive visual by collecting numerous data points and organizing them into logical ranges or bins.
A histogram is a visual depiction of data distribution in statistics. The histogram is shown as a collection of neighboring rectangles, where each bar represents a certain type of data. Numerous fields use statistics, which is a branch of mathematics.
In a bar graph, the frequency is represented by the length of each bar, which are ranked from longest to shortest. To illustrate the relationship between two sets of data, scatter plots plot observations as points.
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PLEASE HURRY LIMITED TIME TEST QUESTION!!!!
Question Write the standard form equation of a circle given the center of (-7, -15) and an area of A = π. Show all work for your calculations using the equation editor.
The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.
What is the equation of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
The area of the circle is 9π. Then the radius of the circle is given as,
A = π
πr² = π
r² = 1
The center of the circle is at (-7, -15). Then the equation of the circle is given as,
(x + 7)² + (y + 15)² = 1
The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.
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pls pls pls help the second photo is the answer choices given
Answer
see attached
Step-by-step explanation:
x-2y = 8 means x = 8+2y. so when y =0, x = 8; when y=1, x =10. draw a line with these 2 points.
Same with x - 2y = 4 ==> x = 4+2y. so when y=0, x = 4, when y=1, x=6, draw a line with these 2 points.
could someone help me Q1
The complete statement is Δ MTS ≅ Δ RTS
What is Congruence?In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Given : Two triangles MTS and RTS
now in the triangles MTS and RTS
we have OM=RT , MN=SR , ON=ST
And therefore By SSS property of two triangles we can deduce that the two triangles are congruent.
Hence, The complete statement is Δ MTS ≅ Δ RTS
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Write a function g that determine's the point's x-coordinate in terms t.
g(t)=
A function g that determine the point's x-coordinate in terms t.
g(t) = r .cos (2.t).
Now, According to the question:
The input variable and output variable are also called the domain and the range. The domain of a function is the set of all values that will work in the function, which are the inputs. The range of a function is the set of all possible outputs produced by the function. In the example above, the 3 would be part of the range and the 8 would be part of the domain.
Input data
A point started at the location (-4, 0)
and, moves CCW along a circle centered at (0, 0)
angular speed = 2 rad/s
Procedure
The value of x is equal to the cosine of the swept angle time radius.
We can calculate the swept angle as 2×t
g(t) = r .cos (2.t).
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The given question is incomplete.
For the complete question, To see the attachment.
Jackson is working two summer jobs, making $10 per hour washing cars and $12 per hour landscaping. Last week Jackson worked a total of 14 hours and earned a total of $152. Determine the number of hours Jackson worked washing cars last week and the number of hours he worked landscaping last week
The number of hours Jackson worked washing cars last week is 8 hours
The number of hours Jackson worked landscaping cars last week is 6 hours
How to write the required equationThe problem is a simultaneous equation of two unknowns with two equations.
The equations are formed as follows
Jackson worked a total of 14 hours
let the washing cars be x and landscaping be yx + y = 14
Jackson earned a total of $152
$10 per hour washing cars and $12 per hour landscaping
10x + 12y = 152
The simultaneous equation
x + y = 14
10x + 12y = 152
using calculator to solve the equation we have that
x = 8 and y = 6
hence hours of washing cars is 8 hours while hour s of landscaping is 6 hours
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An equation is shown below:
3 (2 x - 7) = 3
Part A: How many solutions does this equation have?
Part B: What are the solutions to this equation? Show your work
The solution of the equation 3(2x - 7) = 3 is x = 4. The equation has only one solution.
What is an equation?An equation is a mathematical expression that shows that two mathematical expressions are equal. Equation shows the relationships between variables, numbers and constant.
Therefore, let's solve the equation 3(2x - 7) = 3 as follows
3(2x - 7) = 3
Open the parenthesis
3(2x - 7) = 3
6x - 21 = 3
add 21 to both sides of the equation
6x - 21 = 3
6x - 21 + 21 = 3 + 21
6x = 24
divide both sides of the equation by 6
6x / 6 = 24 / 6
x = 4
Therefore, the equation has one solution which is x = 4.
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Help me write an Original oratory speech
Answer: I will help you, but not write because it depends on the topic
Introduction: Begin by grabbing your audience's attention with an interesting fact, story, or statistic. Then, introduce the main topic of your speech and provide some background information on it.
Body: Divide the body of your speech into several main points, each of which will address a different aspect of the topic. Use evidence, examples, and anecdotes to support your points and make them more persuasive.
Counterargument: Address any potential objections or counterarguments to your main points. This will demonstrate that you have considered multiple perspectives and will make your argument more convincing.
Conclusion: Sum up your main points and reiterate the importance of the topic. End with a strong call to action or a memorable quote.
Practice: Practice delivering your speech in front of a mirror or with friends/family to become more comfortable with the material and delivery.
Here's an example of an introduction for an Original Oratory speech on the topic of the benefits of solar energy:
"Imagine a world where our energy needs are met by a clean, renewable source that never runs out. That world is not just a dream – it's a reality that we can create by embracing solar energy. Today, I want to talk to you about the many benefits of solar energy and why it's time for us to take a closer look at this powerful technology. From reducing our dependence on fossil fuels to creating jobs and driving economic growth, solar energy has the power to change our world for the better. So, let's explore the reasons why solar energy is the energy of the future."
The table represents a linear relationship. x −1 0 1 2 y 2 0 −2 −4 Which of the following graphs shows this relationship? Group of answer choices graph of a line passing through the points negative 2 comma negative 4 and 0 comma 0 graph of a line passing through the points negative 2 comma negative 1 and 0 comma 0 graph of a line passing through the points negative 2 comma 4 and 0 comma 0 graph of a line passing through the points negative 2 comma 1 and 0 comma 0
The graph of the linear function y = -2x is given by the image presented at the end of the answer.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.From the table, when x increases by 1, y decays by 2, hence the slope m is given as follows:
m = -2.
When x = 0, y = 0, hence the intercept b is given as follows:
b = 0.
Hence the function is:
y = -2x.
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Can someone help me with this please? I need help ASAP
A: Classify the triangle above by its sides
B: Classify the triangle above by its angles
C: Explain your answer to part a and b
please help this is for geometry
how would i solve for x here
Using the leg rule, the value of x in the right triangle is: 42.
What is the Leg Rule?The leg rule gives the relationship between the lengths of the segments formed on the hypotenuse of a right triangle by its altitude.
The leg rule is given as:
Hypotenuse/leg = leg/part.
In the image given, we have:
Hypotenuse = x + 8
Leg = 20
Part = 8
Plug in the values:
x + 8 / 20 = 20 / 8
8(x + 8) = (20)(20)
8x + 64 = 400
8x = 400 - 64
8x = 336
x = 336/8
x = 42
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The Students Athletes Club has a monthly budget ofxdollars. Every month $500 is spent on transportation. One-fourth the remaining budget is spent on monthly activities. Which function can be used to find the amount in dollars spent on monthly activities?
The function to find the amount in dollars spent on monthly activities can be represented as: A(x) = (x - 500) * 1/4
Let x be the total monthly budget in dollars and A(x) be the function of x that determines the amount in dollars spent on monthly activities.
To find the value of A(x), we follow the steps:
First, we subtract the fixed monthly transportation cost of $500 from the total budget.
The remaining budget is then divided by 4 to find the amount spent on monthly activities.
Therefore, the function A(x) can be written as: A(x)= (x-500)/4
Thus, the function (x - 500) * 1/4 can be used to find the amount in dollars spent on monthly activities.
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I need help. need answer I have one more try
Answer:
1/7
Step-by-step explanation:
5/7 was already traveled so that leaves 2/7.
Thye traveled 1/2 of 2/7 so we multiply them.
1/2 x 2/7 = 2/14
We can simplify this by dividing both sides by 2.
1/7 is the final answer.
Solve the equation 3x - 4/5 = - 1/2 What is the value of x? Enter your answer as a fraction, formatted like this: 42/53
HELP ME!!! QUICK!!
Answer:1/10 hope im right :)
Step-by-step explanation:
Answer: 1/10
Answer step by step:
1) 3x - 4/5 = - 1/2
2) 3x = -1/2 + 4/5 (move -4/5 to the right side of the equation and inverse the negative sign)
3) 3x = 0.3 (add the values)
4) 3x / 3 = 0.3 / 3 (divide both side with 3 to get rid of the constant value)
5) x = 0.1
6) x = 1/10 (the 1 in 0.1 is in the tenth place so we convert it to 1/10)
The table shows the relationship between r and s, where s is the independent variable 1 2 3 3 4 5 6 1 6 هما الا 1 2 2 3 5 6 1 Which equation represents the relationship between r and s? F. Os = GOr=8- 6 HOs=r- 1. Or = 1/2
The relationship between r and s represents by the equation r = 1/6 s. So the option D is correct.
We have to determine which equation represents the relationship between r and s.
When we analysis the table we see that
r(1) = 1 × 1/6 = 1/6
r(2) = 2 × 1/6 = 1/3
r(3) = 3 × 1/6 = 1/2
r(4) = 4 × 1/6 = 2/3
r(5) = 5 × 1/6 = 5/6
r(6) = 6 × 1/6 = 1
So we can say that
r = s × 1/6
So, r = 1/6 s
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The complete question is:
The table shows the relationship between r and s, where s is the independent variable.
s 1 2 3 4 5 6
r 1/6 1/3 1/2 2/3 5/6 1
Which equation represents the relationship between r and s?
A. 1/6 r
B. s - 5/6
C. r - 5/6
D. r = 1/6 s
The mass of a 45. 750 g piece of copper is measured four times on two different balances with the following results: Trial Balance 1 (g) Balance 2 (g) 1 45. 747 45. 76 2 45. 748 45. 74 3 45. 744 45. 73 4 45. 745 45. 77 a) Calculate the mean, deviation, % relative deviation, absolute error, and % relative error. Show all Work. B) Which balance is more precise
The mean of the copper measured is 45.747. when the mass of copper is 45.750.
Average Absolute Deviation:
The average deviation is a statistic that measures the absolute difference of each measurement from the mean value and then gets its average.
It also includes both the mean absolute deviation and the median absolute deviation and also defines the data set as the average of the absolute deviations from a central point.
This is given by the formula:
Average Deviation=∑ni=1|x−¯x|
where:
x is the observed value
¯x is the mean value
n is the number of observations
Computing for the mean of balance 1:
¯x=45.747+45.745+45.748/3
¯x=45.747
Computing for the mean of balance 2:
¯x=45.76+45.77+45.74/3
¯x=45.79
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children aged 12years,9 years and 4 years shareR500 in the same ratio as their ages
If children aged 12years,9 years and 4 years shareR500 in the same ratio as their ages. They each got R240, R180,R80.
How to find the amount they each got?Total number of years = 12 years + 9 years + 4 years
Total number of years = 25 years
Now let find the amount they each got
12 years
Shares = 12/25×500
Shares = R240
9 years
Shares = 9/25×500
Shares = 180
4 years
Shares =4/25×500
Shares = 80
Therefore they each got R240, R180,R80.
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The complete question is:
Children aged 12 years,9 years and 4 years share R500 in the same ratio as their ages .How much do they each get?
Determine the approximate ordered pair for f(x) =g(x).
=
○ (26,4)
O (18,4)
O (4.26)
○ (4,18)
-50
40
-30
-20
8
10
10
f(x)
g(x)
20
농
50
The approximate solution of the system of equations is given as follows:
(4, 26).
How to obtain the solution to the system of equations?We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.
For the point of intersection in this problem, we obtain the coordinates as follows:
x-coordinate of approximately 4, as it is less than the half way between 0 and 10.y-coordinate of 26, as it is a value between 20 and 30.This means that the correct option is given by the third option.
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John is starting a roofing business. He will need to buy a truck and some supplies to get his business going. The truck costs $13000 used. He gets three jobs right away. And hires 2 workers to help him. The materials for all three jobs cost $3000 total. The jobs will each take a week not including Saturday and Sunday and he pays his workers $125 per day per worker. How much will he have to charge for each job in order to break even at the end of the third job?
As per the unitary method, the charge for each job in order to break even at the end of the third job is $3,000
In math the term unitary method is known as a single unit and then multiply the value of a single unit to the number of units to get the necessary value.
Here we have given that John is starting a roofing business. He will need to buy a truck and some supplies to get his business going.
And here we we have also known as the truck costs $13000 used.
The value of truck is 13000 and material for all 3 jobs is 3000
Here we have also know that each job takes 5 days for a total of 15 days
workers get paid 125 dollars a day.
As we all know that each worker gets 125 a day.
Then here we have also know that each job requires 5 days so he pays each worker 625 per job.
Then he has them work on 3 jobs, and then he pays each worker 1875 for all 3 jobs.
Where here he has 2 workers so he pays out 3750 in total to the workers for all 3 jobs.
Then the total cost is calculated as,
=> $13,000 for the truck
=> $3,000 for the material
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