HELP PLEASE
Acellus
Solve this system of equations by
using the elimination method.
Answer:
(2, 2)Step-by-step explanation:
Add up the equations, it will eliminate x as variable:
3x + 6y - 3x + 4y = 18 + 210y = 20y = 2Find the value of x:
3x + 6*2 = 183x + 12 = 183x = 6x = 2Given : -
3x + 6y = 18 ... (1)-3x + 4y = 2 ... (2)To find : -
Solution x and y?Solution : -
3x + 6y = 18
-3x + 4y = 2 +
10y = 20
y = 20/10 = 2\( \: \)
3x + 6y = 18
3x + 6(2) = 18
3x + 12 = 18
3x = 18 - 12
3x = 6
x = 6/3 = 2\( \: \)
(2 , 2)The city of London, England, has an
elevation of 11 meters.
Which of these describes the elevation
of London?
below sea level
at sea level
above sea level
Answer:
above sea level
Step-by-step explanation:
Does parallel programming always improve the performance of an application over sequential programming?
Parallel programming can improve the performance of an application over sequential programming in certain cases, but it is not a guarantee.
Explain about working of Parallel programming?Parallel programming allows for the use of multiple processors or cores to perform tasks simultaneously, which can improve the overall speed of an application. However, parallel programming can also introduce complexity and overhead, which can decrease performance. The potential for improved performance depends on the specific application and the design of the parallel implementation. Some applications may not benefit from parallel programming because they are not computationally intensive or because their data is not easily divided into parallelizable tasks. Additionally, the performance improvement also depends on the number of cores and the communication costs between them.
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0.75:x::5:8, Then find x
Answer:
1.2
Step-by-step explanation:
0.75 :x :: 5: 8
0.75 / x = 5 / 8
Cross multiply
5x = 0.75 * 8
x = 6/5
x = 1.2
Answer:
Step-by-step explanation:
0.75 :x :: 5: 8
0.75 / x = 5 / 8
5x = 0.75 * 8
x = 6/5
x = 1.2
hospital would like to determine the mean length of stay for its patients having abdominal surgery. a sample of 2222 patients revealed a sample mean of 5.75.7 days and a sample standard deviation of 1.61.6 days. assume that the lengths of stay are approximately normally distributed. find a 95�% confidence interval for the mean length of stay for patients with abdominal surgery. round the endpoints to two decimal places, if necessary.
Rounding to two decimal places, the confidence interval of the mean length of stay for patients who have had abdominal surgery is (5.03, 6.37).
To find the 95% confidence interval for the mean length of stay for patients with abdominal surgery, we can use the formula:
CI = \(\bar{X}\) ± Z * (σ / √n)
where:
CI = Confidence Interval
\(\bar{X}\) = Sample mean
Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of 1.96)
σ = Population standard deviation (since we don't have the population standard deviation, we'll use the sample standard deviation as an estimate)
n = Sample size
Given the information:
Sample mean (\(\bar{X}\)) = 5.7 days
Sample standard deviation (σ) = 1.6 days
Sample size (n) = 22
When the values are entered into the formula, we obtain:
CI = 5.7 ± 1.96 * (1.6 / √22)
Calculating this, we find:
CI = 5.7 ± 1.96 * (1.6 / 4.69)
CI = 5.7 ± 1.96 * 0.341
CI = 5.7 ± 0.668
Rounding to two decimal places, the confidence interval of the mean length of stay for patients who have had abdominal surgery is (5.03, 6.37).
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the coordinate of an object is given as a function of time by x = -2 12t, where x is in meters and t is in seconds. its average velocity over the interval from t = 1 to t = 6 s is
The average velocity of an object between two points can be determined by the following equation:
Average velocity = Δx/Δt
where Δx is the change in position or displacement of the object over the time interval Δt.
Here, the coordinate of an object is given as a function of time by x = -2 12t, where x is in meters and t is in seconds. Its average velocity over the interval from t = 1 to t = 6 s is calculated as follows:
Substituting t = 1 in the given equation x = -2 12t,x = -2 12(1) = -2 12 = -24 m
Substituting t = 6 in the given equation x = -2 12t,x = -2 12(6) = -2 72 = -144 m
Therefore, the change in position or displacement is given by Δx = (-144) - (-24) = -120 m. The time interval Δt between
t = 1 s and t = 6 s is given by Δt = 6 - 1 = 5 s. Therefore, the average velocity of the object over the time interval from t = 1 to t = 6 s is: Average velocity = Δx/Δt = (-120) / (5) = -24 m/s. The correct answer is -24.
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Instruction: Complete ALL questions from this section. Question 1 A. Given the following: A=(
0
2
1
−3
),B=(
−2
2
1
3
),C=(
−2
1
−1
1
). Find the value of 3BC−2AB. (5 marks) B. Using the matrix method or otherwise, solve the following system of simultancous equations.
x+2y−z=6
3x+5y−z=2
−2x−y−2z=4
(15 marks) (Total 20 marksy)
The value of 3BC - 2AB is a matrix obtained by performing scalar multiplication and matrix addition/subtraction. The solution to the given system of simultaneous equations is x = 2, y = -1, and z = -2.
A matrix multiplication is performed by multiplying the entries of one matrix by the corresponding entries of the other matrix and summing the results. To find the value of 3BC - 2AB, we first calculate the products 3BC and 2AB, and then subtract 2AB from 3BC.
The matrix BC is obtained by multiplying the matrix B by the matrix C:
BC =
[(−2)(−2) + (2)(−1) (−2)(1) + (2)(1) ]
[(1)(−2) + (3)(−1) (1)(1) + (3)(1) ]
Simplifying this expression gives us:
BC =
[2 0]
[-5 4]
Next, we calculate the product AB by multiplying the matrix A by the matrix B:
AB =
[(0)(−2) + (2)(1) (0)(2) + (2)(3) ]
[(1)(−2) + (−3)(1) (1)(2) + (−3)(3) ]
Simplifying this expression gives us:
AB =
[2 6]
[-5 -7]
Finally, we subtract 2AB from 3BC:
3BC - 2AB =
[3(2) - 2(2) 3(0) - 2(6) ]
[3(-5) - 2(-5) 3(4) - 2(-7) ]
Simplifying this expression gives us the final result:
3BC - 2AB =
[2 -12]
[-5 34]
Moving on to the second part of the question, to solve the given system of simultaneous equations, we can use the matrix method or any other appropriate method such as Gaussian elimination. Here, we'll use the matrix method.
We can represent the system of equations as a matrix equation AX = B, where:
A =
[1 2 -1]
[3 5 -1]
[-2 -1 -2]
X =
[x]
[y]
[z]
B =
[6]
[2]
[4]
To find X, we can solve the equation AX = B by multiplying both sides of the equation by the inverse of matrix A:
X =\(A^(-1) * B\)
Calculating the inverse of matrix A and multiplying it by B, we obtain:
X =
[2]
[-1]
[-2]
Therefore, the solution to the given system of simultaneous equations is x = 2, y = -1, and z = -2
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Look at the graph.
On a coordinate plane, a graph increases through (negative 1, 4), levels off at (0, negative 3), and then increases up through (2, 5).
Leslie analyzed the graph to determine if the function it represents is linear or non-linear. First she found three points on the graph to be (–1, –4), (0, -3), and (2, 5). Next, she determined the rate of change between the points (–1, –4) and (0, -3) to be StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction = StartFraction 1 Over 1 EndFraction = 1. and the rate of change between the points (0, -3) and (2, 5) to be StartFraction 5 minus (negative 3) Over 2 minus 0 EndFraction = StartFraction 8 Over 2 EndFraction = 4. Finally, she concluded that since the rate of change is not constant, the function must be linear. Why is Leslie wrong?
The points (–1, –4), (0, –3), and (2, 5) are not all on the graph.
The expressions StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction and StartFraction negative 3 minus (negative 5) Over 2 minus 0 EndFraction both equal 1.
She miscalculated the rates of change.
Her conclusion is wrong. If the rate of change is not constant, then the function cannot be linear.
Answerpizza:
Step-by-step explanation:
name the solid ?m
# of faces ?
# of edges?
# of vertices?
what’s the height ?
Answer:
rectangle
6 faces
12 edges
8 vertices
10ft height
hope this helps
What is the value of a in the equation a = 2 + 3a + 8? (5 points)
Group of answer choices
5
10
−5
−10
Step-by-step explanation:
a = 2 + 3a + 8
a = 10 + 3a
a - 3a = 10
-2a = 10
a = -5
One letter is chosen at random from the word THANKS. A letter is then chosen at random from the word STARK
1. Write out ALL of the outcomes in the sample space of this chance experiment.
. 2. How many outcomes are in the sample space?
3. What is the probability that the letters chosen are AA?
1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.
2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.
3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.
1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.
The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.
2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.
Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word
Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.
3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.
Probability of choosing AA = Number of favorable outcomes / Total number of outcomes
Probability of choosing AA = 0 / 30 = 0.
Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.
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You find a job that pays $14.25/hr working 25 hours per
week. How much will you make in 4 weeks?
Answer:
$1425
Step-by-step explanation:
To find how much money you would make, we would first have to multiply the number of weeks worked by how many hours you work per week.
4 · 25 = 100
What this tells us is that in 4 weeks, you worked 100 hours in total. Now we can multiply total hours worked by how much you are paid per hour to get our answer.
14.25 · 100 = 1425
After spending 5/9 of his money, David has
$36 left. How much money did he have at first?
A random variable is a. A variable that takes of values that are uncertain b. A variable that takes on known values c. A variable that is always zero d. A variable that takes on null values only
A random variable is a variable that takes on values that are uncertain or probabilistic in nature.
Therefore, the correct option is a) A variable that takes on values that are uncertain.
Random variables can be discrete, meaning they can only take on specific values, or continuous, meaning they can take on any value within a certain range.
These variables are commonly used in statistical analyses and probability theory to model various phenomena, such as the outcome of a dice roll or the height of individuals in a population.
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What is the quotient of 34,907 and 67?
Answer: 521
Step-by-step explanation:
34907/67=521
find the area of the triangle which has sides ~u = 〈3, 3, 3〉, ~v = 〈6, 0, 6〉, and ~u −~v.
The area of the triangle formed by the given sides is 9√2 square units.
To find the area of the triangle, we first need to find the length of the third side, ~u - ~v.
~u - ~v = 〈3, 3, 3〉 - 〈6, 0, 6〉 = 〈-3, 3, -3〉
Next, we can use the formula for the area of a triangle given the lengths of its sides:
Area = 1/4 * √(4a²b² - (a² + b² - c²)²)
where a, b, and c are the lengths of the sides.
Using this formula with the lengths of the sides ~u, ~v, and ~u - ~v, we get:
a = ||~u|| = √(3² + 3² + 3²) = 3√3
b = ||~v|| = √(6² + 0² + 6²) = 6√2
c = ||~u - ~v|| = √((-3)² + 3² + (-3)²) = 3√2
Plugging these values into the formula, we get:
Area = 1/4 * √(4(3√3)²(6√2)² - (3√3)² - (6√2)² - (3√2)²)
= 9√2
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Find the common difference of the arithmetic sequence 14, 10,6, ...
Answer: the common difference is 4
Step-by-step explanation:
Find the equation of the line below.
(3,1)
Answer:
B
Step-by-step explanation:
the answer is B.the equation of the line
suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. how many times would we have to flip the coin in order to obtain a 99% confidence interval of width of at most .18 for the probability of flipping a head? (note that the z-score was rounded to three decimal places in the calculation) a) 164 b) 205 c) 167 d) 212 e) 202 f) none of the above
The coin is flipped at least 52 times in order to obtain a 99% confidence interval of width of at most . 18 for the probability of flipping a head.
Hence, Option F is correct answer.
In a sample with a number n of people surveyed with a probability of a success of π , and a confidence level of (1-α), we have the following confidence interval of proportions.
\(\pi\) ± z\(\sqrt{\frac{\pi \p(1-\pi )}{n} }\)
z is the z-score that has a pvalue of \(1-\frac{\alpha }{2}\)
Since, the coin is fair, so \(\pi =0.5\).
The margin of error is:
\(M=z\sqrt{(\frac{\pi (1-\pi )}{n} )}\)
99% confidence level:
So \(\alpha =0.01\) ,z is the value of Z that has a p value of 1-\(\frac{0.01}{2}\)=0.995,
so Z= 2.575
How many times would we have to flip the coin ?
We have to flip the coin in order to obtain a 99% confidence interval of width of at most 18 for the probability of flipping a head at least n times.
n is found when M=0.18 .
So
M=\(z\sqrt{\frac{\pi (1-\pi )}{n} }\)
\(0.18=2.575\sqrt{\frac{0.5*0.5}{n} }\)
\(0.18\sqrt{n} =2.575*0.5\)
\(\sqrt{n}=\frac{2.575*0.5}{0.18}\)
\(\sqrt{n} ^{2} =(\frac{2.575*0.5}{0.18} )^{2}\)
n = 51.16
Thus, we have to flip the coin at least 52 times.
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Applications: Sarah's Pet Store never has more than a combined total of 16 cats and dogs. She also never has more than 9 cats. Write a system of inequalities and graph to show the possible number of cats and dogs in her store.
The possible solution is 12 cats and 4 dogs in Sarah's store.
Let x represent the number of cats and y represent the number of dogs.
Since Sarah's Pet Store never has more than a combined total of 16 cats and dogs. Hence:
x + y ≤ 16Also, She also never has more than 9 cats. Therefore:
x > 9The solution to the inequality is graphed. From the graph, the possible solution is 12 cats and 4 dogs
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help pls
Write the equation of the line in slope-intercept form that is perpendicular to
y = -x – 18 and passes through (-6, 11).
Hence, the slope which is perpendicular to the line to \(y = -x - 18\) and passes through \((-6, 11)\) is \(y=x+17\).
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
The line in slope-intercept form that is perpendicular to \(y = -x - 18\) and passes through \((-6, 11)\).
As we know the slope of line is
\(y=mx+c\)
where \(m\) is the slope and \(c\) is the y intercept.
Given points are \((-6,11)\).
If we want to describe the perpendicular line to the original line then the slope of line is
\(m_2=-\frac{1}{m_1}\)
In our given slope of line
\(y = -x -18\)
where \(m_1=-1\)
So,
\(m_2=-\frac{1}{m_1}\\\\m_2=-\frac{1}{-1}\\\\m_2=1\)
Now for the slope of second line we use the point slope from the construct equation then,
\(y-y_1=m_2(x-x_1)\\\\y-11=1(x-(-6))\\\\y-11=x+6\\\\y=x+6+11\\\\y=x+17\)
Hence, the slope which is perpendicular to the line to \(y = -x - 18\) and passes through \((-6, 11)\) is \(y=x+17\).
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how many grams of oxagen
are held in a 2.00l container
at a temperature of 270k
a
and pressure of 38.opsi
32 g/mol grams of oxygen are held in a 2.00L container at a temperature of 270K and a pressure of 38.0 psi.
We need to use the ideal gas law equation.
The ideal gas law equation is PV = nRT, where P represents pressure, V represents volume, n represents the number of moles of gas, R is the ideal gas constant, and T represents temperature. To find the number of moles of oxygen, we rearrange the equation to n = PV / RT.
First, we need to convert the pressure from psi to atmospheres, as the ideal gas constant is typically given in terms of atm. 1 atmosphere is approximately equal to 14.7 psi, so 38.0 psi is approximately 2.59 atmospheres. Next, we convert the volume from liters to moles using the ideal gas constant, R. The value of R is 0.0821 L·atm/(mol·K).
Using the given values, we can now calculate the number of moles of oxygen. Plugging the values into the equation, we have n = (2.59 atm) * (2.00 L) / (0.0821 L·atm/(mol·K) * 270K). This calculation gives us the number of moles of oxygen in the container.
To convert this to grams, we multiply the number of moles by the molar mass of oxygen, which is approximately 32 g/mol.
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pleas please help me !!
“A relation contains to points (-5,-10) (-2,-4) (-1,-2) (4,8) and (5,10) is this a function?
please explain how you did the work step by step pls!!!
Answer:
This is a function and there is no value of x for which we will get two or more different values of y.
Step-by-step explanation:
Now, this is a function and there is no value of x for which we will get two or more different values of y
The equation is y = 2x
bye
The value of a rare painting has increased each year since it was found at a garage sale. The value of the painting is modeled by the function f(x) = 799(1.03)x. What does the 799 represent? What will the painting be worth after five years? Round your answer to the nearest dollar.
A- 799 represents the value of the painting when it was found; the painting will be worth $926 after five years.
B- 799 represents the increase in the value of the painting; the painting will be worth $103 after five years.
C- 799 represents the value of the painting when it was found; the painting will be worth $804 after five years.
D- 799 represents the total value of the painting; the painting will be worth $926 after five years.
The science teacher is filling her new fish aquarium. The aquarium holds 28.5 gallons. If she fills the aquarium 2/5 of the way full, how many gallons will she need?
Answer:
11.4 gallons
Step-by-step explanation:
Divide 28.5 by 5 then multiply by 2:
(28.5 ÷ 5) x 2 = 5.7 x 2 = 11.4
udy was made of seat belt use among children who were involved in car crashes that caused them to be hospitalized. it was found that children not wearing any restraints had hospital stays with a mean of 7.37 days and a standard deviation of 2.60 days with an approximately normal distribution. (a) find the probability that their hospital stay is from 5 to 6 days, rounded to five decimal places.
the probability that the hospital stay of children not wearing any restraints is from 5 to 6 days is 0.10031, or about 10.03%.
To find the probability that the hospital stay of children not wearing any restraints is from 5 to 6 days, we need to standardize the interval by subtracting the mean and dividing by the standard deviation. Let X denote the hospital stay of a child not wearing any restraints, then we have:
Z = (X - μ) / σ
where μ = 7.37 and σ = 2.60.
To find the probability that X is from 5 to 6 days, we standardize the endpoints:
Z1 = (5 - 7.37) / 2.60 = -0.91
Z2 = (6 - 7.37) / 2.60 = -0.52
Using a standard normal table or a calculator, we can find the area under the standard normal curve between Z1 and Z2:
P(-0.91 < Z < -0.52) = 0.10031 (rounded to five decimal places)
Therefore, the probability that the hospital stay of children not wearing any restraints is from 5 to 6 days is 0.10031, or about 10.03%.
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Can anyone please help meee!!
Answer:
equilateral acute
Step-by-step explanation:
equilateral-- all the sides have the same length
acute-- all the angles are below 90 degree
Answer:
Step-by-step explanation:
You'r answer should be an equilateral acute.
A - Monomial
B - Binomial
C - Trinomial
D - none of the above
Answer:
the correct answer is option D
Identify the area of the circle. Use 22/7 for π
Answer:
The area of the given circle is,
\(A = 5819/350 cm^2 = 16.6257 cm^2\)
Step-by-step explanation:
Here, 4.6 cm is the diameter, d =4.6 cm
so, since the radius is d/2, we have,
r = 4.6/2 = 2.3
r = 2.3 cm
Now, the formula for area of a circle is,
A = π(r)^2 = π(r)(r)
Using 2.3 cm for r and 22/7 for π, we get,
\(A = \pi r^2\\A = (22/7)(2.3)^2\\\\A = 5819/350 cm^2 = 16.6257 cm^2\)
Hence we have found the area
FOR EACH SITUATION IDENTIFY IT AS AN EXPONENTIAL GROWTH OR EXPONENTIAL DECAY. town's population was 3800 in 2005 and growing at a rate of 2% every year.
The function of the town's population is an exponential growth
How to classify the function as growth or decayFrom the question, we have the following parameters that can be used in our computation:
Initial population = 3800
Growth rate = 2% every year
From the above, we understand that
There is a growth in the population by 2% every year
Using the above as a guide, we have the following:
This means that the function is an exponential growth
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