Answer:
14 is the answer
Step-by-step explanation:
hope it helps
Answer:
When we have a=2, we can replace 2 instead of a in the expression.
⇒a²+8a-6
Replacing a with 2
⇒(2)²+8(2)-6
As 2² is 2×2=4 and8×2=16 we get
4+16-6
⇒20-6
⇒14
Thus,14 is the final answer when a=2
I NEED HELP ASAP!!
Consider events since the election and changing views of Americans to predict who would win this election if it was held again today. Defend your answer. ______________________________________________________________
Elections depend on numerous factors, including voter sentiment, campaign strategies, and current events, which can change dynamically.
Without specific information regarding the events that have taken place since the previous election, it is challenging to provide a definitive answer. However, I can offer some general considerations when predicting election outcomes based on changing views of Americans:
1. Current Approval Ratings: Analyzing the approval ratings of the incumbent government or the leading candidates can provide insights into their popularity among the electorate. Higher approval ratings generally indicate a higher likelihood of winning the election.
2. Key Policy Changes: Significant policy changes implemented by the current government and their impact on various sectors of society can influence voter preferences. Evaluating public sentiment towards these policy changes is essential in predicting election outcomes.
3. Economic Factors: The state of the economy, including indicators such as employment rates, GDP growth, and inflation, can significantly impact voter opinions. A strong economy usually benefits the incumbent party, while economic downturns can lead to a shift in support towards opposition parties.
4. Public Opinion and Polling Data: Examining recent public opinion polls and surveys can provide valuable information on the current preferences of the electorate. Analyzing trends and changes in public opinion can assist in predicting the election outcome.
5. Campaign Strategies and Candidate Appeal: Assessing the campaign strategies employed by candidates, their ability to connect with voters, and their overall appeal can play a significant role in determining the election outcome. Factors such as public speeches, debates, endorsements, and grassroots efforts can shape voter perceptions.
6. Historical Voting Patterns: Examining historical voting patterns, demographic shifts, and regional dynamics can offer insights into how specific voting blocs may impact the election outcome.
Considering these factors and conducting a thorough analysis of recent events, public sentiment, and key indicators will help in predicting the election outcome.
However, without specific information regarding the events and changing views of Americans, it is not possible to provide a definitive answer or defend a particular candidate's victory in an election held today.
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What is the value of x in the equation - - *?
0 32
18
18
0 32
Answer:
x= 18
Step-by-step explanation:
In the past, the output of a process had a mean of 2.050 and a standard deviation of 0.020 liters. If a current sample of output had these values {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, would that indicate that the process is still "in order" (as opposed to being "out of order")? What if the sample was {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}?
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."
To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:
Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):
Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.
Compare the sample mean to the known process mean (2.050):
The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."
Calculate the sample standard deviation using the formula:
Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))
Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.
Compare the sample standard deviation to the known process standard deviation (0.020):
The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."
For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:
Calculate the sample mean:
Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034
Compare the sample mean to the process mean (2.050):
The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."
Calculate the sample standard deviation:
The sample standard deviation is approximately 0.019 liters.
Compare the sample standard deviation to the process standard deviation (0.020):
The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.
In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.
However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.
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Find a basis of the subspace of R^4 consisting of all vectors of the form [x1 3x1+x2 -7x1+8x2 3x1-6x2 ]
The subspace of R⁴ consisting of all vectors of the form [x₁, 3x₁+x₂, -7x₁+8x₂, 3₁-6x₂] has a basis consisting of the vectors [1, 3, -7, 3] and [0, 1, 8, -6].
Vectors are an essential component of linear algebra and are used to represent quantities that have both magnitude and direction.
Now, let's consider the subspace of R⁴ consisting of all vectors of the form [x₁, 3x₁+x₂, -7x₁+8x₂, 3₁-6x₂].
To find a basis for this subspace, we need to find a set of vectors that are linearly independent and span the subspace.
Let's consider the equation a[1, 3, -7, 3] + b[0, 1, 8, -6] = [0, 0, 0, 0] for some coefficients a and b. This gives us the system of equations:
a = 0
3a + b = 0
-7a + 8b = 0
3a - 6b = 0
The first equation immediately gives us a = 0, and substituting this into the second equation gives us b = 0 as well. Therefore, the two vectors we found are linearly independent, and hence form a basis for the subspace.
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tres enteros pares consecutivos tienen una suma de 24. hallar los enteros
Los tres enteros pares consecutivos son 6, 8, y 10.
¿Como encontrar los 3 enteros consecutivos?Sabemos que 3 enteros pares consecutivos tienen una suma de 24.
Recordar que dos pares consecutivos se escribe como x y x + 2.
Entonces la suma de 3 pares consecutivos son:
x + (x + 2) + (x + 4)
Y eso es igual a 24, entonces podemos escribir:
x + (x + 2) + (x + 4) = 24
Ahora podemos resolver esto para x.
x + (x + 2) + (x + 4) = 24
3x + 6 = 24
3x = 24 - 6
3x = 18
x = 18/3
x = 6
Los enteros son:
x = 6
x + 2 = 8
x + 4 = 10
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a school filed trip took cars and buses to the beach. there were total of 8 vechicle used to carry the students. There were a totle of 110 students that went to the beach. cars carried 4 students and buses carried 30 students. how many of esch vechicle were used for the field trip.
Answer:
3 buses and 5 cars
Step-by-step explanation:
There were a total number of 8 vehicles used to carry the students and 110 students in total.
The maximum number of buses there could have been was 3 because 30 goes into 110 3 times so there is 3 buses.
This leaves 20 students remaining and each car could carry 4 students.
20 divided by 4 = 5 which meant there were 5 cars.
This means there must have been 5 cars and 3 buses taken to the beach.
1/4log81 - 1/2log9 = x
Answer:
Step-by-step explanation:
x=0
On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 miles? Part A Choose the symbol to complete an inequality to represent this situation. >≤<≥ 350d 1,400 Part B Solve the inequality. What does the solution represent in this situation?
Answer:
Inequality symbol = ≥
Solution = d≥4
Step-by-step explanation:
If a family drives 350 miles per day, then;
1 day = 350 miles
To determine the number of days they will use to reach at least 1400mles
d days = 1400miles
Divide both expressions
1/d = 350/1400
Cross multiply
350 * d = 1400
350d = 1400
Since we are told that it ia at least 1400miles, this means the total miles can be greater than 1400. Hence the correct inequality sign to use will be a greater than or equal to sign(≥).
The expression above becomes 350d ≥ 1400
Divide both sides by 3350
350d ≥ 1400/350
d≥ 4
Hence the solution that represent the situation is d≥ 4
help i will give brainliest
Answer:
1/9
Step-by-step explanation:
The area of a polygon is the old area multiplied by the scale factor squared
New area = old area ( SF) ^2
The scale factor is 1/3
(1/3) ^2 = 1/9
The fraction is 1/9
Find each value without using a calculator. If the expression is undefined, write undefined.
sec (-π)
The value of the expression sec (-π) is equal to -1 if the given expression is undefined.
As given in the question,
Given expression: sec (-π)
Standard position of unit circle: -π is representing semicircle with terminal point on negative x-axis with coordinates (-1, 0)
Hypotenuse = √ (-1)² + 0²
= 1
Value of the expression is given by
sec α = Hypotenuse / Base (x-coordinate)
⇒sec(-π) = 1 / -1
⇒sec(-π) = -1
Therefore, the value of the expression sec (-π) is equal to -1.
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Please answer
Will give point to the person who has the right answer
The value of x is \(\sqrt{2}/2\) in the given case.
How to find the value of x?Since point P lies on the unit circle centered at the origin (0, 0), its distance from the origin is 1. Therefore, we have:
\(\sqrt{x^2 + y^2}= 1\)
Squaring both sides of this equation, we get:
\(x^2 + y^2 = 1\)
Since point P also lies on the line y = x, we have:
y = x
Substituting y = x into the equation \(x^2 + y^2 = 1,\) we get:
\(x^2 + x^2 = 1\)
Simplifying this equation, we get:
\(2x^2 = 1\)
Dividing both sides by 2, we get:
\(x^2 = 1/2\)
Taking the square root of both sides, we get:
\(x = \pm \sqrt{(1/2)}\)
Since we want the simplest form, we take the positive square root:
\(x = \sqrt{(1/2)} = \sqrt{(2)}/2\)
Therefore, the value of x is \(\sqrt{(2)}/2\)
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(6) 5hrs 15min
- 3hrs 35min
Please show the work
PLEASE HELP!!
SEE PICTURES!
Answer: G=62, I = 62, H =54
Step-by-step explanation:
3x+26=4x+14
x=12
G=36+26 = 62
180-62-62=54
A printer company has two locations with a total of 23 employees. If four times the number of employees at the larger location is four greater than seven times the number of employees at the smaller location, how many employees are at each location?
A printer company has two locations with a total of 23 employees. Then, there are 08 employees are at smaller location and there are 15 employees in larger location.
System of Equation:
In algebra, a system of equations consists of two or more equations and finds a general solution to the equations. "A system of linear equations is a set of equations satisfied by the same set of variables."
The systems of equations discussed above are sets of equations that find general solutions for the variables involved. The following equation is an example of a system of equations.
2x - y = 12
x - 2y = 48
Let,
L = Number of employee at larger location.
S = Number of Employee at smaller location.
Since,
If Four times the number of employees at the larger location is four greater than seven times the number of employees at the smaller location.
Therefore,
4L = 7S +4 ------------------------- (1)
And, L+S = 23
⇒ S = 23- L
Putting S = 23-L in equation(1),
4L = 7(23-L) + 4
⇒ 4L = 161- 7L + 4
⇒ 4L +7L = 161 + 4
⇒ 11L = 165
⇒ L = 15
Therefore, in the larger location there are 15 employees.
Now,
Putting L = 15 in:
S = 23 -L
S = 23-15
S = 8
Therefore, there are 08 employees in the smaller location.
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Jess says that 6,408 cannot be written with only hundreds and ones because it has four digits. Is Jess correct? Why or why not?
Jess is correct because you don't need tens if there is a 0 in the tens place.
What is digit?
Noun with a count. Any of the ten numbers from 0 to 9 has a written symbol known as a digit. Her phone number is one digit different from mine. Alternative words: figure, number, numeral, integer More digit's opposites. 2. A digit is a component of a set that, when taken as a whole, makes up a numeration system. A digit is a number in that particular context. The elements of the set 0 through 9 make up the digits in the decimal (base-10) Arabic numbering system.
Given:
Jess says that 6,408 cannot be written with only hundreds and ones because it has four digits.
Jess is right; a 0 in the place of tens eliminates the need for tens.
Hence, Jess is correct because you don't need tens if there is a 0 in the tens place.
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The hypotenuse of a right triangle measures 16 cm and one of its legs measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
The measure of the other leg of right angled triangle is 15.5cm
What is Pythagoras theorem?The Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
According to the question
In a right angled triangle
Hypotenuse = 16 cm
Base = 4 cm
measure of the other leg or perpendicular is
Now ,
By applying Pythagoras theorem
\(Hypotenuse^{2} = Base^{2} + Perpendicular^{2}\)
substituting the values
\(16^{2} = 4^{2} + Perpendicular^{2}\)
256 = 16 \(+ Perpendicular^{2}\)
240 = \(Perpendicular^{2}\)
applying square root both side
Perpendicular = 15.5 cm
Hence, the measure of the other leg of right angled triangle is 15.5cm
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the sum of the ages of an uncle and nephew 2 years ago was 40.In 2 years time from now the age of the uncle will be 3 times that of his nephew by then.Find their ages now
Answer:
Uncle is 34. Nephew is 10.
Step-by-step explanation:
Let u equal the age of the uncle, and n equal the age of the nephew.
First, two years ago, the sum of their ages was 40. We can represent this by subtracting 2 from each variable. Thus:
\((u-2)+(n-2)=40\)
\(u+n-4=40\)
\(u+n=44\)
Next, in two years time, the uncle will be three times as old as his nephew. We can represent this by adding 2. Thus:
\(u+2=3(n+2)\)
We now have a system of equations and can solve accordingly.
First, from the first equation, we can determine that:
\(u=44-n\)
We can substitute this into the second equation.
\((44-n)+2=3(n+2)\)
\(46-n=3n+6\)
\(40=4n\)
\(n=10\)
Thus, the nephew's age is 10.
And the uncle's age is 44-10 or 34.
What is the radius?
Find the length of the radius of the circle with an equation of
(x + 3)2 + (y-7)2 = 289.
Answer:
Radius = 17.
Step-by-step explanation:
If(h,k) is centre and rradius, the eqn. of circle is :(−x h)2+(y−k)2=r2
Comparing with the given eqn. of circle, we find, r2=289 Hence, radius is 17
It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.)
Answer:
$4.76
Step-by-step explanation:
It costs $2.80 to make a sandwich at the local deli shop and the deli sells it at a price that is 170% of the cost.
We have to find 170% of the cost of making each sandwich ($2.80):
170/100 * 2.80 = $4.76
The sandwich sells for $4.76
Answer:
ben
Step-by-step explanation:
d chloe and their daughter zoe all have the same birthday. joey is 1 year older than chloe, and zoe is exactly 1 year old today. today is the first of the 9 birthdays on which chloe's age will be an integral multiple of zoe's age. what will be the sum of the two digits of joey's age the next time his age is a multiple of zoe's age?
11 years is the sum of Joey's two digits the next time his age is a multiple of Zoe's age.
Assume Chloe is c years old today, and Joey is c+1 years old today. Chloe and Zoe will be n+c and n+1 years old after n years.
Given,
(n + c) ÷ (n + 1) = 1 + ((c - 1) ÷ (n + 1))
For 9 non-negative integers, n is an integer. As a result, c - 1 has 9 positive divisors. c-1's prime factorization is either \(p^8\) or p²q². Because c - 1 < 100, the only possible solution is c - 1 = 2² × 3² = 36, from which c = 37. We may deduce that Joey is 38 years old today.
Assume Joey's age is a multiplier of Zoe's age after k years, resulting in Joey and Zoe being k + 38 and k + 1 years old, correspondingly.
Given,
(k + 38) ÷ (k + 1) = 1 + ((38 - 1) ÷ (k + 1))
For some positive integers, k is an integer. As 37 is divisible by k + 1, the only possible solution is k = 36. Infer that Joey will be k + 38 = 74 years old at that time, yielding the value 7 + 4 = 11.
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For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are [1 - 20x + 150x^2 + cx^3 ]. find c?
Using binomial theorem we can expand the equation but We are not given the value of a or n, so we cannot determine c exactly.
What is the difference between real and integer?Integers are real numbers that only comprise positive and negative whole integers as well as natural numbers. Because of rational and irrational numbers, real numbers may include fractions, whereas integers cannot.
What's a real number?A real number is a quantity in mathematics that may be expressed as an infinite decimal expansion. Real numbers, as opposed to natural numbers such as 1, 2, 3,..., which are generated from counting, are used in measures of continually changing quantities such as size and time.
by applying the binomial theorem:
\((1 + ax)^n = C(n, 0) + C(n, 1)(ax) + C(n, 2)(ax)^2 + C(n, 3)(ax)^3 + ...\)
where C(n, k) is the binomial coefficient, which equals\(n!/(k!(n-k)!).\)
The first few terms of this expansion are:
\((1 + ax)^n = 1 + nax + n(n-1)(a^2/2)x^2 + n(n-1)(n-2)(a^3/6)x^3 + ...\)
Comparing with the given expression [1 - 20x + 150x^2 + cx^3], we have:
\(1 - 20x + 150x^2 + cx^3 = 1 + nax + n(n-1)(a^2/2)x^2 + n(n-1)(n-2)(a^3/6)x^3 + ...\)
Equating coefficients of \(x^3\) on both sides, we get:
\(c = n(n-1)(n-2)(a^3/6)\)
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13. Zahra likes to go rock climbing with her friends. In the past, Zahra has climbed to the top of the
wall 7 times in 28 attempts. Determine the odds against Zahra climbing to the top.
A. 3:1
B. 4:1
C. 3:11
D. 3:4
Answer:
the odds against Zahra climbing to the top are,
B. 4:1
Step-by-step explanation:
Since she has climbed 7 times in 28 attempts,
the probability of a successful climb is,
P = 7/28
P = 1/4
So, the odds against Zahra climbing to the top are 4:1
i need help on this question
Answer:\(180\pi\)
Step-by-step explanation:
\(v=\pi rx^{2} h\\v=\pi 6^{2} 5\\\\v=180\pi\)
please help for 20 points
The answer will be 5.9°Fahrenheit
Which of the following is a characteristic of a binomial problem a. There are n identical trials, and all trials are independent has two possible outcomes which are traditionally labeled "failure" and "success" and the probability of success p is the same on each trial. c. We are interested in x, the number of successes observed during the n trials. d. All of these are characteristics of a binomial experiment. e. None of these
all the characteristics mentioned in options a, b, and c are true for a binomial experiment. Thus, the correct answer is d. All of these are characteristics of a binomial experiment.
The correct answer is d. All of these are characteristics of a binomial experiment.
A binomial experiment is characterized by the following:
a. There are n identical trials, and all trials are independent.
b. Each trial has two possible outcomes, traditionally labeled "failure" and "success."
c. The probability of success, denoted as p, is the same on each trial.
d. We are interested in the number of successes observed during the n trials.
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The line representing the equation part of the constraint 7x1 + 4x2 s 28 goes through the following two points (4,0) and (7,0) (0, 4) and (7,0) • (4,0) and (0,7) (0, 4) and (0,7) none of the above
Step-by-step explanation:
The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).
The model below is shaded to represent an expression. Which expression represnts the model?
Answer:
stop rushing me aaaaaaaaaahhhhhhhh
Step-by-step explanation:
Please select the correct answer from the group of answer choices for each part of the question:
1a. Consider the computing load of a sum of 100 scalar variables and one matrix subtraction of a pair of two-dimensional array with dimensions 100x100. Assume the matrix subtraction is fully parallelizable, calculate the speedup using 100 processors assuming 10 processors carry 20% of the load and the rest load is shared among the rest 90 processors evenly?
A: 101/3
B: 101/2
C: 101
D: 100
1b: For the following vector MIPS code DAXPY which performs Y=a x X+Y, fill the two blank instructions.
L.d $f1, a($sp) ;load scalar a
Lv $v0, 0($s0) ;load vector x
__________________ ;vector-scalar multiply
Lv $v2, 0($s1) ;load vector y
___________________ ;add y to product
Sv $v3, 0($s1) ; store the result
A:
mul.d $v1, $v0, $f1
add.d $v3, $v1, $v2
B:
mulvs.d $v1, $v0, $f1
addv.d $v3, $v1, $v2
C:
mul.d $v2, $v0, $f1
add.d $v3, $v1, $v2
D:
mulvs.d $v2, $v0, $f1
addv.d $v3, $v1, $v2
1c. Which of the following statement is incorrect?
A: Both multithreading and multicore rely on parallelism to get more efficiency from a chip.
B: In coarse-grained multithreading, switching between threads only happens after significant events such as last-level cache miss.
C: In fine-grained multithreading, switching between threads happens after every instruction.
D: Simultaneous multithreading (SMT) uses threads to improve resource utilization of statically scheduled processor.
1d. In the roofline model, the attainable GFLOPs/sec is set by _____?
A: Peak Memory BW x Arithmetic Intensity
B: Peak Floating-Point Performance
C: Min (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).
1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.
The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.
The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.
In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.
Therefore, the correct answer is C: 101.
1b. A:
mul.d $v1, $v0, $f1
add.d $v3, $v1, $v2
The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.
1c. C: In fine-grained multithreading, switching between threads happens after every instruction.
In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.
1d. B: Peak Floating-Point Performance
In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.
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Factorize using middle term:
x²-11x+24
Answer:
x²-11x+24
(x -8) * (x -3) =0
x = 8 and x =3
Step-by-step explanation:
there were x quarts of liquid in a con-tainer. first, 3 4 of the liquid in the container was removed. then another 1 2 quart was poured into the container. write an expression in terms of x for the number of quarts of liquid in the container at the end. then write another equivalent expres-sion.explain
The another equivalent expression of total liquid is (x+2)/4.
Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.
x quarts liquid in the container 3/4 part of liquid is removed
Then remaining liquid in container = X - \(\frac{3}{4}X\)
Then remaining liquid in container = x/4quarts
Another 1/2 quart is poured into container
Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts
total liquid = \(\frac{X+2}{4}\) quarts
So, then the another equivalent expression of total liquid is (x+2)/4.
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