The range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g is 0.1900 g to 0.2100 g.
What is analytical balance?The analytical balance is the device which is used to measure the mass or weight of the object with high level of precision.
Even using the analytical balance equipment, you do not get the accurate weight. For the measurement of the 0.2 g the precision level is ±0.1 mg.
For the positive number, the value will be 0.2100 gFor the negative number, the value will be 0.1900 g.The range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g is 0.1900 g to 0.2100 g.
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hey can someone help me pls *ANSWER ASAP*
This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,
Which is the translation applied?Remember that a vertical translation of N units is:
g(x) = f(x) + N
if N < 0 the translation is down.
if N > 0 the translation is up.
And a horizontal translation of N units is:
g(x) = f(x + N)
If N > 0 the translation is to the right.
if N < 0 the translation is to the left.
Here we have the transformation:
f(x) = x²
g(x) = (x + 2)² + 5
So this is a translation of 2 units to the left and 5 units up.
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Lizzie came up with a divisibility test for a certain number m ≠ 1 : Break a positive integer n into two-digit chunks, starting from the ones place. (For example, the number 354764 would break into the two-digit chunks 35, 47, and 64 ) Find the alternating sum of these two-digit numbers, by adding the first number, subtracting the second, adding the third, and so on. (In our example, this alternating sum would be 35-47+64 = 52 ) Find m and show that this is indeed a divisibility test for n (by showing that n is divisible by m if and only if the result of this process is divisible by m)
If and only if the alternating sum of the two-digit chunks of a number n is divisible by m, then n is divisible by m.
What value of m makes the alternating sum of two-digit chunks of a positive integer n divisible by m?Let's denote the two-digit chunks of n as a₁a₂, a₃a₄, ..., where a₁, a₂, a₃, a₄, ... are the digits from the ones place onward.
The alternating sum of these two-digit numbers is given by a₁a₂ - a₃a₄ + a₅a₆ - a₇a₈ + ...
We can rewrite n as (a₁a₂ × 100) + (a₃a₄ × 10) + (a₅a₆ × 1) + ...
The alternating sum expression can be written as (a₁a₂ × 100) - (a₃a₄ × 10) + (a₅a₆ × 1) - ...
If n is divisible by m, we have n ≡ 0 (mod m).
Rewriting n in terms of the alternating sum, we get (a₁a₂ × 100) - (a₃a₄ × 10) + (a₅a₆ × 1) - ... ≡ 0 (mod m).
Factoring out each two-digit chunk, we have (a₁a₂ - a₃a₄ + a₅a₆ - ...) ≡ 0 (mod m).
This implies that n is divisible by m if and only if the result of the alternating sum process is divisible by m.
m is the value that makes the alternating sum of the two-digit chunks of n a divisibility test for n.
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Which is not a characteristic of simple moving averages applied to time series data?
A.) smoothes random variations in tl
B.) weights each historical value equally
C.) lags changes in the data
D.) has minimal data storage requirements
E.) smoothes real variations in the data
Option (D) Has minimal data storage requirements
1. Answer the following questions using this data (Show your work):
75, 71, 42, 55, 67, 48, 80, 63, 67, 52, 49, 58,
Median:
Mean:
Max:
IQR:
Q1:
Range: 5.8
Answer: Q1, 50.5/ Q2 or Median, 60.5/ Q3, 69/ IQR, 18.5/ Min, 42/ Max, 80/ Range, 38
Step-by-step explanation: I'm very smart. (Also it will be to hard to explain).
Hope this helps : D
NEED HELP ASAP PLS WIL GIVE BRAINLIEST
Enter a rational number that is equivalent to −20/4.
Answer:
-5
Step-by-step explanation:
Answer:
- 5
Step-by-step explanation:
A rational number has the form
\(\frac{a}{b}\) ← where a and b are integers
Given
- \(\frac{20}{4}\) ( divide numerator/ denominator by 4 )
= - \(\frac{5}{1}\) ← a rational number
= - 5
Linette bought apples at $1.74 per pound. If she bought 5 pounds of apples, how
much did she pay?
Answer $ 8.70
Step-by-step explanation:
Multiply $1.74 by 5
solve this equation
-10+2x=-40
Answer: X= -15
Step-by-step explanation:
Add 10 from the left side to the right side to arrive at -30. Divide -30 by 2 to solve for X.
homer uses the moving walkway to get to his gate at the airport. he can travel when he is walking on the moving walkway in the same amount of time it would take for him to walk only on the floor next to it. if the walkway is moving at , how fast does homer walk?
If Homer can travel the same distance on the moving walkway as he can on the floor in the same amount of time, then his walking speed and the speed of the moving walkway must be the same. Therefore, Homer's walking speed is 4 mph.
Let's say that the distance Homer needs to travel to get to his gate is D. If he walks on the floor next to the moving walkway, he will travel this distance at his walking speed, which we'll call W. If he walks on the moving walkway, he will travel this distance at the speed of the walkway plus his walking speed, or W + 4 mph.
Since the time it takes for Homer to travel the distance D is the same in both cases, we can set the two equations equal to each other:
D/W = D/(W + 4)
Cross-multiplying gives us:
D(W + 4) = DW
Distributing the D gives us:
DW + 4D = DW
Subtracting DW from both sides gives us:
4D = 0
Dividing both sides by 4 gives us:
D = 0
Since the distance D cannot be zero, this means that the only way for the two equations to be equal is if W and the speed of the moving walkway are the same. Therefore, Homer's walking speed is 4 mph.
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How many hours of gaming a day is healthy?
Maximum two hours of gaming a day is healthy.
What is meaning of healthy?
Not just the absence of illness or infirmity, but also a complete condition of physical, mental, and social well-being, is what is meant by "health."
Additionally, twice as many parents of teen boys than teen girls report that their son plays video games daily. Teenage guys are also more likely to play video games for three or more hours.
The American Academy of Pediatrics advises limiting screen-based entertainment to no more than two hours each day. According to Radesky, parents should make a "media plan" that specifies how much time a kid can spend playing video games without having an impact on their behavior or their schoolwork.
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Ivy purchases 8 books at the used book store. Paperback books cost $4 each, and hardback books cost $8 each. If x represents the number of paperbacks purchased, which three statements are true when determining the number of each type of book purchased?.
From the given cost of paperback and hardback books in the question, only option (A) and (B) are correct
Total numbers of books purchased by Ivy is 8
Cost of each paperbacks books = $4
Cost of each hardback books = $8
Let X represents the number of paperback books purchased.
Then (8 - X ) represents the number of hardback books purchased
Therefore, according to the question
Total cost of purchasing the paperbacks will be 4X
Total cost of purchasing the hardback books will be 8(8 - X)
And, 4X + 8(8 - X ) will be the total cost for purchasing the 8 books by Ivy
Since the total amount spent on purchasing is not given, we can’t calculate the exact cost for buying hardback books and paperback books.
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Complete question:
Ivy purchases 8 books at the used book store. Paperback books cost $4 each, and hardback books cost $8 each. If x represents the number of paperbacks purchased, which three statements are true when determining the number of
each type of book purchased?
A)
4x represents the total cost of the paperbacks purchased.
B)
8(8 + x) represents the total cost of the hardbacks purchased.
C)
4x + 8(8 - x) = 44 can be used to solve the problem.
D)
Ivy spent $25 dollars on paperbacks.
E)
Ivy bought 3 hardback books.
6. Solve for x.
Х
6
15
Please help
solution
in a right angle triangle all angles are = 90
but since they did not give us any angle, we should know that the two angle that will make up 90 will be 45
so it will be = tan 45 = a
15
15tan45 = a
a = 15
so now x^2 = 15^2 + 6^2
x^2 = 225 + 36
x^2 = 261
x = 16.2
the graph of the function f is shown in the xyplane above the function f is define by f(x)=mx+b,where m and b are constant which of the following could be the graph of the function where g(x)=-mx-b?
Answer:
Option (C)
Step-by-step explanation:
We will apply the rules of transformations in this question.
Parent function of the given line in the graph is,
f(x) = mx
If the function is f'(x) = -mx
Then the line will be inverted of reflected across the x-axis.
If the function is g(x) = -mx - b
Then the line representing function g(x) = -mx will be shifted b units downwards, similar to the graph given in Option (C).
please in your own words explain "copyright" as one of the principles of professional ethics (NSPE) with example to illustrates the principle. kindly I want the CORRECT answer ASAP!!
"Copyright" as a principle of professional ethics refers to respecting and upholding the intellectual property rights of others.
It entails recognizing and acknowledging the original creators' rights to their work and ensuring that their work is not used, reproduced, or distributed without proper authorization or attribution.
For example, in the field of software development, adhering to copyright principles means that engineers should not copy or use proprietary code without permission from the copyright holder. They should respect software licenses and ensure that any code they develop or distribute complies with applicable copyright laws. This includes not plagiarizing or infringing upon the work of others, respecting open-source licenses, and properly attributing any external resources used in their projects.
By following the principle of copyright, engineers demonstrate integrity, professionalism, and ethical conduct by valuing and protecting the creative rights of others in their professional endeavors.
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Juan is a tennis player who has won 52% of his tennis matches.
What is the probability that he will lose his next tennis match?
48%
2%
52%
50%
The probability that Juan loses his next tennis match is 48%
How to determine the probability that he will lose his next tennis match?From the question, we have the following parameters
The proportion of tennis matches won
p = 52%
This proportion implies that the probability that the player will win his next tennis match
So, we have the following representations
Probability of winning, p = 52%
Express the percentage as decimal
So, we have the following representations
Probability of winning, p = 0.52
The probability of losing the next match is the complement of the probability of winning
This is represented as
Probability of losing = 1 - Probability of winning,
Substitute the known values in the above equation
So, we have the following equation
Probability of losing = 1 - 0.52
Evaluate
Probability of losing = 0.48
Hence, the probability is 0.48 or 48%
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(this isn't a question its an answer, you can add your answer if you think im wrong but you wont get many points.)
Consider the following pair of equations:
y = −2x + 8
y = x − 1
so we would substitute x - 1 for Y in the first equation and i would solve for x, x - 1 = -2x + 8
3x - 1 = 8, so three x is 9 meaning x = 3. Now I substitute the y = x minus one and I get 3-1=2, which is Y, so my solution is (3,2).
The solution to the system of equations is (3, 2). This means that the two equations intersect at the point (3, 2) on the coordinate plane. Your solution is correct.
To explain it further, the given system of equations is:
y = -2x + 8 ...(1)
y = x - 1 ...(2)
To solve the system, you substitute the expression for y from equation (2) into equation (1) to get: x - 1 = -2x + 8
Simplifying this equation gives: 3x = 9
Dividing both sides by 3 gives: x = 3
Now, you substitute this value of x back into equation (2) to get:
y = 3 - 1
Simplifying this equation gives:
y = 2
Therefore, the solution to the system of equations is (3, 2). This means that the two equations intersect at the point (3, 2) on the coordinate plane.
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Conall had a box of 36 candy bars to sell for a class
fundraiser. He sold 10 of the bars on his own, and
his mother sold half of the remaining bars to her
coworkers. If no other bars were sold, what fraction
of Conall’s original 36 bars remained unsold?
(A) 5/8
(B) 11/36
(C) 1/3
(D) 13/36
(E) 7/18
The correct option is (D) 13/36.
The fraction of Conall’s original 36 bars remained unsold is 13/36.
What is fraction?Fractions are defined as a numerical figure that represents a portion of a whole. A fraction is a component or sector of any quantity taken from the whole, which might be a number, a specified value, or an item.
Now, according to the question;
The total number of the bars Conall initially had = 36
After he sells 10 bars on his own,
Total number of the bars remaining = Number of bars Conall had − Number of bars he sold on his own
Total number of the bars remaining = 36 − 10
Total number of the bars remaining = 26
Now, as his mother sold half of the bars;
Total number of the bars remained unsold = Total number of the remaining bars − Total number of the bars his mother sold
= 26 - 26/2
= 13
Total number of the bars remained unsold = 13
Fraction of Conall's bars that remained unsold = (Total number of bars remained unsold)/(Total number of bars Conall had)
= 13/36
Therefore, the fraction of Conall’s original 36 bars remained unsold is 13/36.
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Question 1
Find the midpoint of the line segment with these
endpoints: (7,-6), (-6, -8)
A) (-18, -10)
B) (6.5, 1)
C) (0,5)
D) (.5, -7)
OB
OC
OA
OD
10 pts
Answer:
D
Step-by-step explanation:
(7+-6)/2
(7-6)/2
1/2
(-6+(-8)/2
(-6-8)/2
-14/2
-7
(.5,-7)
Maura spends $5.50 in materials to make a scarf. She sells each scarf for 600% of the cost of materials.
Complete the sentence by selecting the correct word from the drop down choices.
Maria sells each scarf for Choose... ✓ or
The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.
How to calculate the selling price of each scarf?To calculate the amount of money that Maura spends on each scarf the following is carried out.
The amount of money that she spends on the scarf material = $5.50
The percentage selling price of each scarf = 600% of $5.50
That is ;
= 600/100 × 5.50/1
= 3300/100
= $33.
Therefore, each price that is sold by Maura would probably cost a total of $33.
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Use the quadratic formula to find the exact solutions of x2 − 9x + 5 = 0.
x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Answer:
\(\frac{9\pm\sqrt{61}}{2}\)
Step-by-step explanation:
\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-(-9)\pm\sqrt{(-9)^2-4(1)(5)}}{2(1)}=\frac{9\pm\sqrt{81-20}}{2}\\\\=\frac{9\pm\sqrt{61}}{2}\)
What is the y-intercept of this graph?
Answer:
0,0
Step-by-step explanation:
To find y-intercept You look where the line touches the y-axis and vice-versa if you want to find teh x-intercept
(4.2x10^6)(1.1x10^7)
Answer:4.62x10^13
Step-by-step explanation:
Question 11
What transformation(s) will result in Triangle ABC mapping on to Triangle DEF completely?
A
Translation across the y-axis
B
Reflection across the y-acis
с
Translation across the x-axis
OD
Reflection across the x-axis
Answer:
B
It's a Reflection in the y-axis
Answer:
B. Reflection across the Y axis.Step-by-step explanation:
Translations on the coordinate plane has different coordinates of the shape, and reflect.
Reflections on coordinate plane have the same coordinates, they are just in different quadrants.
As you can see, the coordinates of the first triangle on the left is (-6, -2), (-2, -4), and (-4, -6).
On the right triangle, the coordinates are (6, -2), (2, -4), and (4, -6).
Your answer is B.
ASAPPP PLSSSS Both of the questions pls
Answer: Number 4 is the Bottom Bubble
Number 5 is the 2nd bubble
Step-by-step explanation:
0.012, 0.12, 1.2, 12
9.68, 9.7, 9.71, 9.90
Step-by-step explanation:
1 - (0.012 , 0.12 , 1.2 ,12)
2- (9.68 , 9.7 , 9.71 , 9.90)
Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to the line 4x – 3y = –8 and passes through the point (3, –2).
Alejandro made his first error in which step?
Step 1
Step 2
Step 3
Step 4
Alejandro stated -4/3 instead of -3/4 as the slope of the perpendicular line in step 2, therefore, his first error is in step 2.
What are the Equations of Perpendicular Lines?For any two given perpendicular lines, they must have slope (m) values that are negative reciprocals of each other. The equation of any line can be written in slope-intercept form as, y = mx + b, where m is the slope of the line.
Given the equation, 4x - 3y = -8, rewrite in slope-intercept form:
-3y = -4x - 8
-3y/-3 = -4x/-3 - 8/-3
y = 4/3x + 8/3
This means that the line has a slope of 4/3. Thus, the slope of the line that is perpendicular to the given line would be the negative reciprocal of 4/3, which is: -3/4.
Thus, we can see that Alejandro stated -4/3 instead of -3/4 as the slope of the perpendicular line in step 2, therefore, his first error is in step 2.
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A $250 item is reduced to $205. Find the percent discount
Answer:
18%
Step-by-step explanation:
Answer:
18% is your answer
How many observations are accounted for in the stem and leaf graph? What did you do to find the answer?
Answer:
i put 2
Step-by-step explanation:
which theory would best provide perspective on the question 'if i study for 12 hours, what is the probability that i'll get an a on the exam?'
Expectancy theory would best provide perspective on the question 'if i study for 12 hours, what is the probability that i'll get an on the exam?".
Understanding Expectancy TheoryExpectancy theory (expectancy theory of motivation) was put forward by Victor Vroom in 1964. Vroom put more emphasis on outcome factors, rather than needs as proposed by Maslow and Herzberg.
This theory states that the intensity of the tendency to perform in a certain way depends on the intensity of the expectation that performance will be followed by a definite outcome and on the attractiveness of the result to the individual.
Vroom argues that people will be motivated to do certain things to achieve goals if they believe that their actions will lead to the achievement of these goals.
There are three main assumptions of Vroom in expectancy theory. These assumptions are as follows:
-Every individual believes that if he behaves in a certain way, he will get certain things. This is called an outcome expectancy as a person's subjective assessment of the likelihood that a certain outcome will arise from that person's actions.
-Each outcome has value, or appeal to a particular person. This is called valence (valence) as the value that people give to an expected result.
-Each outcome is associated with a perception of how difficult it is to achieve that outcome. This is called effort expectancy as the possibility that one's efforts will result in the attainment of a certain goal.
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Suppose there are five processes, their arrival time and running time are listed as follows. Adopt FCFS and SJF, respectively, give the schedule order and average waiting time. (12) 1) Give the schedule order of FCFS. (3) 2) Compute the average waiting time of FCFS. (3) Give the schedule order of SJF. (3) 3) 4) Compute the average waiting time of SJF. (3) Process Arrival time Running time Pl 0 3 P2 3 10 P3 4 6 P4 5 1
Average waiting time for FCFS: 8.75
SJF schedule order: Pl -> P4 -> P3 -> P2Average waiting time for SJF: 4.75
To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:
Schedule order for FCFS:
The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:
Pl -> P2 -> P3 -> P4
Average waiting time for FCFS:
To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P2 | 3 | 10 | 3
P3 | 4 | 6 | 13
P4 | 5 | 1 | 19
Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75
Therefore, the average waiting time for FCFS is 8.75.
Schedule order for SJF:
The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:
Pl -> P4 -> P3 -> P2
Average waiting time for SJF:
To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P4 | 5 | 1 | 3
P3 | 4 | 6 | 6
P2 | 3 | 10 | 10
Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75
Therefore, the average waiting time for SJF is 4.75.
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If f(x)=x²-1, and
g(x)=x+2, then
Answer:
f(g(x) = 1x² + 4x + 3
Explanation:
Question: f(g(x))
Given following:
f(x) = x² - 1g(x) = x + 2While solving such function questions, solve from right to left.
⇒ f(x + 2)
⇒ (x + 2)² - 1
⇒ x² + 4x + 4 - 1
⇒ x² + 4x + 3
Given x=e−t and y=te8t, find the following derivatives as functions of t .
dy/dx = ________
d²y/dx² = ________
Answer:
\(\frac{dy}{dx}=-(8t+1)e^{9t}\\\frac{d^{2}y}{dx^{2}}=(72t+17)e^{10t}\)
Step-by-step explanation:
The explanation is attached below.
dy/dx = -te^(9t) (1 + 8t)
d²y/dx² = e^(8t) (16t + 1)
Firstly, we will find the value of dx/dt using the Chain rule as follows: dx/dt = - e^(-t)Then, the value of dy/dt can be calculated as
dy/dt = (d/dt) [t(e^(8t))] [Using product rule]= te^(8t) + t * 8e^(8t)
[Using the product rule again]= te^(8t) + 8te^(8t)
[Factoring out t]= te^(8t) (1 + 8t)So, we have obtained the first derivative of y w.r.t t.
Now, let's find the second derivative of y w.r.t t.d²y/dt² = (d/dt) [te^(8t) (1 + 8t)]
[Using the product rule]= e^(8t)(1 + 8t) + t * 8e^(8t)
[Using the product rule again]= e^(8t)(1 + 8t) + 8te^(8t)
[Factoring out 8e^(8t)]= e^(8t) (1 + 8t + 8t)
[Factorizing]= e^(8t) (16t + 1)
So, the value of the derivative dy/dx is:dy/dx = (dy/dt) / (dx/dt) = te^(8t) (1 + 8t) / - e^(-t) = -te^(9t) (1 + 8t)
Thus, the values of derivatives as functions of t are:
dy/dx = -te^(9t) (1 + 8t)
d²y/dx² = e^(8t) (16t + 1)
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