if a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function.
Answers
It is true that if a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function.
What do you mean by the term matrix?Without further explanation, matrices represent linear maps and enable explicit computations in linear algebra. In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or a property of such an object. As a result, a significant portion of linear algebra involves the study of matrices, and the majority of the characteristics and operations of abstract linear algebra may be described in terms of matrices. The composition of linear maps, for instance, is represented by matrix multiplication.
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Related Questions
How are fractions divided?
Answers
Answer:
i use the KFC method
keep flip change
Step-by-step explanation:
5/10 divided by 2/5
so ya would keep the first fraction as 5/10
change divide to times
and flip 2/5 into 5/2
5/10 x 5/2
25/20
hope this helps :)
the area under a particular normal curve between and is . a normally distributed variable has the same mean and standard deviation as the parameters for this normal curve. what percentage of all possible observations of the variable lie between and ? chegg
Answers
This area by 100 will give us the percentage of observations that lie between the two values.
To find the percentage of observations that lie between two values in a normally distributed variable, we need to calculate the area under the normal curve between those two values. Since the area under the curve represents the probability, we can find the percentage by multiplying this probability by 100.
To solve this, we need to use the z-score formula. The z-score measures the number of standard deviations a particular observation is from the mean. We can then use the z-score to find the corresponding probability using a standard normal distribution table or a statistical calculator.
In this case, since the normally distributed variable has the same mean and standard deviation as the parameters for the given normal curve, we can use the z-score formula directly. The z-score formula is given by:
z = (x - μ) / σ
where z is the z-score, x is the observation, μ is the mean, and σ is the standard deviation.
By plugging in the given values, we can find the z-scores corresponding to the values and calculate the area under the normal curve between those z-scores. Finally, multiplying this area by 100 will give us the percentage of observations that lie between the two values.
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Hallie used a birthday check her mother gave her to start a savings account. She plans to save $25 per month as well. After 9 months, Hallie has $300.
Please write the equation in slope intercept form!
Answers
Answer:
Step-by-step explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope (the rate of change) and b is the y-intercept (the point where the line crosses the y-axis).
To write this equation, we need to know the y-intercept and the slope.
The y-intercept is the initial amount of money in the savings account, which is $300.
The slope is the amount of money added to the savings account each month, which is $25.
So the equation in slope-intercept form is:
y = $25x + $300
This equation shows that for every month that goes by, Hallie's savings account will increase by $25 and the starting point is $300
How do i solve this with work ..? i’m extremely confused
Answers
someone please help this person
(10*10)+(-34*22) who know the answer
Answers
Answer:
-648
Step-by-step explanation:
Answer:
-648
Step-by-step explanation:
(10 times 10) equals 100
(-34 times 22) equals -748
then add them both together
The formula for relating a man's shoe size S and the length of his foot L in inches is
S3L
26. Find the length of a man's foot if he wears a size 12 shoe.
Answers
Answer:
12 5/6 inches
Step-by-step explanation:
You want to find the value of L when S=12 1/2, using the formula S = 3L -26.
Foot lengthYou can substitute for S in the formula before or after you solve for L. Here, we'll solve for L first:
S +26 = 3L . . . . add 26 to both sides
(S +26)/3 = L . . . . divide both sides by 3
Substituting 12 1/2 for S, this becomes ...
L = (12 1/2 +26)/3 = (38 1/2)/3 = (77/2)/3 = 77/6 = 12 5/6
A man's foot is 12 5/6 inches long if he wears a size 12 1/2 shoe.
Answer:
the length of his foot in inches is 12
For each transformation in the table below, indicate which properties are true and false by selecting true or false from the drop down menus in each box
Answers
Translation, rotation, and reflection are three of the fundamental transformations.
What properties do transformations have?Translation, rotation, and reflection are three of the fundamental transformations.The four main categories of transformations are as follows :Rotation.Translation.Dilation.ReflectionA metamorphosis is a significant alteration in appearance or form. The only change that might provide similarity is dilation.Non-rigid transformations are those that dilate when length and angle measurements are not preserved.Since they maintain length, translation, reflection, and rotation are isometries. Congruency transformations are hence translation, reflection, and rotation.An image that is congruent to the preimage is produced through stiff or isometric transformation.To learn more about transformation refer to:
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A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while travelling 96 km in a lake. Find the speed of boat while it is travelling in the lake, if the current of the river is 3 km/hour.
Hii! If someone can like show how they got this I would really appreciate it! Thank you so much. I kinda need it quick
Answers
Answer:
24 km/hStep-by-step explanation:
The speed of the boat in the lake = xThe speed of the current = 3 km/hRequired equation:
54 / (x + 3) + 42 / (x - 3) = 96/x9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)9x² - 27x + 7x² + 21x = 16x² - 1446x = 144x = 144/6x = 24 km/hFind all values of the following roots and plot them in the complex plane. 1. √i
2. 4√(-7 + 24i)
3. √(-8i)
4. 4√-1
5. √(-7 – 24i)
6. 5√-1
7. 8√1
8. 3√(1+i)
Answers
To plot these roots on the complex plane, simply plot the real part on the x-axis and the imaginary part on the y-axis. For example, for the first root, √i, plot (1/√2, 1/√2) on the complex plane. Repeat this process for each of the roots to visualize them on the complex plane.
The roots of a complex number can be found using the formula √(a + bi) = √r * (cos(θ/2) + i*sin(θ/2)), where r = √(a² + b²) and θ = tan⁻¹(b/a). Once the roots are found, they can be plotted on the complex plane.
√i = √(0 + 1i) = √1 * (cos(π/4) + i*sin(π/4)) = (1/√2) + (1/√2)i
√(-7 + 24i) = 4√(√625 * (cos(1.2870) + i*sin(1.2870))) = 4 * (√625)^(1/4) * (cos(1.2870/4) + i*sin(1.2870/4)) = 2.2361 + 2.2361i
√(-8i) = √(0 - 8i) = √8 * (cos(3π/4) + i*sin(3π/4)) = (-2/√2) + (2/√2)i
4√-1 = 4√(0 - 1i) = 4√1 * (cos(3π/2) + i*sin(3π/2)) = 4 * (0 + i)
√(-7 – 24i) = √(√625 * (cos(-1.2870) + i*sin(-1.2870))) = (√625)^(1/2) * (cos(-1.2870/2) + i*sin(-1.2870/2)) = -2.2361 - 2.2361i
5√-1 = 5√(0 - 1i) = 5√1 * (cos(3π/2) + i*sin(3π/2)) = 5 * (0 + i)
8√1 = 8√(1 + 0i) = 8√1 * (cos(0) + i*sin(0)) = 8 * (1 + 0i)
3√(1+i) = 3√(√2 * (cos(π/4) + i*sin(π/4))) = 3 * (√2)^(1/3) * (cos(π/12) + i*sin(π/12)) = 1.6180 + 0.6180i
To plot these roots on the complex plane, simply plot the real part on the x-axis and the imaginary part on the y-axis. For example, for the first root, √i, plot (1/√2, 1/√2) on the complex plane. Repeat this process for each of the roots to visualize them on the complex plane.
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The z-score for a particular observation is z = -1.2. This means the observation is
Answers
The observation is located to the left of the mean by a distance of 1.2 standard deviations.
How to observe the mean of situation?The z-score of an observation represents the number of standard deviations the observation is away from the mean.
If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.
If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:
observation = μ + (z * σ)
observation = μ + (-1.2 * σ)
This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.
For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.
In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.
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a line passes through the point (-3,-5) and has a slope of 5 write an equation in point slope form for this line
Answers
Answer:
\(y=5x+10\)
Step-by-step explanation:
1) Plug numbers into slope formula to find \(b\).
\(y=mx+b\)
\(-5=5(-3)+b\)
2) Simplify to find \(b\).
\(-5=-15+b\)
\(10=b\)
3) Check work.
\(-5=-15+10\)
This statement is true.
4) Write equation.
\(y=5x+10\)
Please help.
Is algebra.
Answers
Answer:
The same as the person above me
Step-by-step explanation:
1.
- 2,3
2.
-X=2
Y=3
Very buys a basket of mangoes that is priced $14 before tax. The sales tax is 6%. What is the total price Avery pays for the basket of mangoes
Answers
Answer:
Avery needs to pay $14.84
Step-by-step explanation:
When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:
\(\frac{14}{x} = \frac{100}{6} \frac{\%}{\%}\)
Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:
\(x = \frac{14*6}{100}\\x = \frac{84}{100}\\x = 0.84\)
The value to be paid is the product value plus the tax, therefore:
\(\text{paid} = 14 + 0.84 = 14.84\)
Avery needs to pay $14.84
Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero. f(x)=2(x 2
+3)(x+1) 2
−3, multiplicity 1 , crosses the x-axis; −1, multiplicity 2 , crosses the x-axis None −1, multiplicity 2 , touches the x-axis and turns around -3, multiplicity 1 , crosses the x-axis; −1, multiplicity 2 , touches the x-axis and turns around. −1, multiplicity 2 , crosses the x-axis
Answers
The polynomial function \(\(f(x) = 2(x^2+3)(x+1)^2\)\) has zeros at -3 with multiplicity 1, and -1 with multiplicity 2. The graph of the function crosses the x-axis at -3 and -1.
To find the zeros and their multiplicities, we set \(\(f(x)\)\) equal to zero and solve for \(\(x\).\)
Setting \(\(f(x) = 0\),\) we have:
\(\[2(x^2+3)(x+1)^2 = 0\]\)
Since the product of two factors is zero, at least one of the factors must be zero. Thus, we solve for \(\(x\)\) in each factor separately:
1. \(\(x^2 + 3 = 0\):\)
This equation does not have real solutions since the square of a real number is always non-negative. Therefore, this factor does not contribute any real zeros.
2. \(\(x + 1 = 0\):\)
Solving for \(\(x\), we find \(x = -1\).\) This gives us a zero at -1 with multiplicity 1.
Since the factor \(\((x+1)^2\)\) is squared, the zero -1 has a multiplicity of 2.
Therefore, the zeros for the polynomial function are -3 with multiplicity 1 and -1 with multiplicity 2. The graph of the function crosses the x-axis at both zeros.
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Give the algebraic expression by using variables and constant and arithmetic operations: i. Sum of the squares of x and y. ii.Product of "x" and "y" subtracted from 9. Pls fast
Answers
Answer:
a) x^2 + y^2
b) 9-xy
Step-by-step explanation:
Here, we want to write the algebraic statements as expressions;
a) The sum of the squares of x and y
The square of x is x^2
The square of y is y^2
The sum of the squares is x^2 + y^2
ii) Product of x and y subtracted from 9
The product of x and y is x * y = xy
Subtracting these from 9, we have;
9-xy
Find the z score for each student and indicate which one is further from the mean. Art Major: x=72,bar (x)=70,s=4 Theater Major: x=29,bar (x)=23,s=6
Answers
The student who is further from the mean is the Theater Major student with a z-score of 1.
To find the z-score for each student and indicate which one is further from the mean, we use the formula; z = (x - μ) / σWhere;z is the z-score ,x is the score,μ is the mean,σ is the standard deviation
(a) Art Major: x = 72, μ (mean) = 70, s (standard deviation) = 4z = (x - μ) / σz = (72 - 70) / 4z = 0.5
(b) Theater Major: x = 29, μ (mean) = 23, s (standard deviation) = 6z = (x - μ) / σz = (29 - 23) / 6z = 1
Therefore, the student who is further from the mean is the Theater Major student with a z-score of 1.
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What is the surface area of the solid that this net can form? A net has 2 rectangles. One rectangle has a base of 25 millimeters and a height of 21 millimeters. The other rectangle has a base of 41 millimeters and height of 5 millimeters.
Answers
Answer:
S.A = 730mm²
Step-by-step explanation:
Since the solid is made up of two rectangles. Then the surface area (S.A) would be
S.A = area of first rectangle + area of second rectangle
Since the first rectangle has it's base to be 25mm and height to be 21mm, then it's area is
25mm x 21mm = 525mm²
Since the second rectangle has it's base to be 41mm and height to be 5mm, then it's area is
41mm x 5mm = 205mm²
Therefore
S.A = 525mm² + 205mm² = 730mm²
Answer:
730mm²
Step-by-step explanation:
At a certain car rental company, it costs $39.95 per day and $0.06 cents per mile to rent a car. How much would it cost to rent a car for 2 days and drive 150 miles?
Answers
Answer: $88.90
Step-by-step explanation:
$39.95 x 2 + 0.06 x 150
3. Calvin has a bucket of marbles. The table shows the number of marbles of each color Color Amount Red Blue 3 Yellow 4 Green Calvin will randomly select a marble at random. Based on the information in the table, which statement is NOT true? А. The probability of selecting a red is less likely than selecting a yellow or blue 2>7 fasle B The probability of selecting a blue is equal to the probability of selecting a green 3=3 true The probability of selecting a blue or yellow marble is less than the probability of selecting a red or green marblel 7
Answers
The false statement is (c) the probability of selecting a blue or yellow marble is less than the probability of selecting a red or green marble.
What are probabilities?Probabilities are used to determine the chances of events
The table entry is given as:
Red - 2Blue - 3 Yellow - 4 Green - 3From the list of options, the false statement is
(c) the probability of selecting a blue or yellow marble is less than the probability of selecting a red or green marble.
This is so because:
Blue or Yellow = 3 + 4 = 7Red or Green = 2 + 3 = 5Notice the count of blue or yellow marbles (7) is greater than the number of red or green marbles (5)
This means that, the probability of selecting a blue or yellow marble is greater than the probability of selecting a red or green marble.
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Mary, Jimmy, Jackson, Susan and Jeff are rank from #1 to #5 in playing ping pong in a class.
Teacher wants to finalize the best player and arrange some games to be played each between two players.
The rules are once a player lost a game then no more completion for the player, the other rule is a player always plays with the nearest rank player who is still in the competition and once the competition starts the rank never get changed.
What is the maximum number of ways for all these players to play?
Answers
The maximum number of ways for all these players to play in the given scenario is 12.
To determine the maximum number of ways for the players to play, we can consider the possible match-ups between the players. Since a player always plays with the nearest rank player who is still in the competition, we can start with the highest-ranked player (#1) and pair them with the next nearest player in rank (#2). This creates one match. Then, the remaining players (#3, #4, and #5) can be paired in different ways: (3, 4), (4, 5), and (3, 5). This results in three more matches. Therefore, in total, we have four matches.
For each match, the winner moves on to the next round, while the loser is eliminated. Following this process, we can have a maximum of three rounds of matches, resulting in a total of 12 possible ways for all the players to play.
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ASAP help thanks if you help I appreciate it
Answers
The circumference of the circle in terms of π whose radius is given would be = 63π. That is option D.
How to calculate the circumference of a circle?To calculate the circumference of a circle, the formula that should be used would be given below.
That is;
circumference of circle= 2πr
The radius = 31½
circumference = 2×π × 31½
= 2×π× 63/2
= 63π
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Calculate the volume of the composite figure. Round to the nearest tenth, if necessary.
Answers
Answer:
367
Step-by-step explanation:
l x w x h
=
6 x 4 x 15.3 = 367.2 ≈ 367
l = length
w = width
h = height
at a large university, data were collected on the number of sisters and brothers that each student had. let the random variable x represent the number of sisters and the random variable y represent the number of brothers. the distribution of x has mean 1.00 and standard deviation 0.94. the distribution of y has mean 1.07 and standard deviation 1.04. what is the mean of the distribution of x y ?
Answers
The required mean of the distribution of x + y for the given data is 2.07.
Explain mean distribution.A statistical distribution, or probability distribution, portrays how values are dispersed for a field. As such, the measurable dissemination shows which values are normal and exceptional. There are numerous sorts of measurable appropriations, including the chime formed typical conveyance.
According to question:We have,
mean = 1 and Standard deviation = 0.94
In distribution of Y
mean = 1.07 and standard deviation = 1.04
mean of distribution X + Y = ?
Then,
the mean of the distribution of X+Y
= mean of x + mean of y
= 1 + 1.07
= 2.07
Thus, the required mean is 2.07.
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Here are Ryan's scores in nine French tests.
4
6
4
7
8
a
6
7
7
The mean of Ryan's nine scores is 6
Work out the value of a.
Answers
Answer:
a = 5
Step-by-step explanation:
the mean is calculated as
mean = \(\frac{sum}{count}\)
= \(\frac{4+6+4+7+8+a+6+7+7}{9}\) = 6 ( multiply both sides by 9 to clear fraction )
49 + a = 54 ( subtract 49 from both sides )
a = 5
which of the following is (are) time series data? i. weekly receipts at a clothing boutique ii. monthly demand for an automotive part iii. quarterly sales of automobiles
Answers
i. weekly receipts at a clothing boutique
ii. monthly demand for an automotive part
Which data sets represent time series data?Time series data refers to information collected and recorded at regular intervals over a specific period. In the case of i. weekly receipts at a clothing boutique and ii. monthly demand for an automotive part, both data sets are examples of time series data.
Time series data consists of observations recorded over regular intervals, allowing for the analysis of patterns and trends over time. In i. weekly receipts at a clothing boutique, the data is collected on a weekly basis, providing insights into the boutique's revenue fluctuations over different weeks. Similarly, ii. monthly demand for an automotive part captures the demand for the part on a monthly basis, enabling analysis of monthly variations and seasonal patterns.
On the other hand, iii. quarterly sales of automobiles do not fall under time series data. While it represents sales data, the intervals between measurements are not consistent enough to qualify as time series. Quarterly intervals are less frequent and may not capture shorter-term trends or variations as effectively as weekly or monthly intervals.
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The sum is 16 and the difference is 12 what is the answer
Answers
Answer:
14 and 2 maybe?
Answer:
14, 2
Step-by-step explanation:
a + b = 16
a - b = 12
------------------
2a = 16 + 12
2a = 28
a = 14
14 + b = 16
b = 2
uppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. Find the probability that at most 1 student is a sports fan.
Answers
The probability that at most 1 student is a sports fan out of a sample of 10 college students is 0.9138, or 91.38%. This means there is a high likelihood that no more than one student in the sample is a sports fan.
To calculate these probabilities, we use the binomial probability formula, where n is the number of trials, p is the probability of success, and X is the random variable representing the number of successes. In this case, n = 10, p = 0.05, and we want to find P(X = 0) and P(X = 1).
\(P(X = 0) = (10\ choose\ 0) * (0.05)^0 * (1 - 0.05)^{10 - 0}\)
\(P(X = 1) = (10\ choose\ 1) * (0.05)^1 * (1 - 0.05)^{10 - 1}\)
Using the binomial probability formula, we can calculate these probabilities:
P(X = 0) = 0.5987
P(X = 1) = 0.3151
Therefore, the probability that at most 1 student is a sports fan out of a sample of 10 college students is:
P(X ≤ 1) = P(X = 0) + P(X = 1) = 0.5987 + 0.3151 = 0.9138.
So, there is a 91.38% probability that at most 1 student in the sample is a sports fan.
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Find the derivative of the function at P in the direction of A f(x,y,z):xy + yz + zx, (1,-1,-2), A = 3i + 2j - 6k (DAf) | 1(1,-1,-2) =
Answers
Therefore, the directional derivative of f at P=(1,-1,-2) in the direction of A=3i+2j-6k is -2.
To find the directional derivative of f(x,y,z) at P=(1,-1,-2) in the direction of A=3i+2j-6k, we first need to find the gradient of f at P, which is given by:
grad(f) = ∇f = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k
Here, f(x,y,z) = xy + yz + zx, so we have:
∂f/∂x = y + z
∂f/∂y = x + z
∂f/∂z = x + y
Thus, at P=(1,-1,-2), we have:
∇f(P) = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k
= (y+z)i + (x+z)j + (x+y)k
= (0+(-2))i + (1+(-2))j + (1+0)k
= -2i - 1j + 1k
Next, we need to find the unit vector in the direction of A:
|A| = sqrt(3^2 + 2^2 + (-6)^2) = 7
u = A/|A| = (3/7)i + (2/7)j - (6/7)k
Finally, we can compute the directional derivative of f at P in the direction of A as:
(DAf) | 1(1,-1,-2) = ∇f(P) · u
= (-2i - 1j + 1k) · (3/7)i + (2/7)j - (6/7)k
= -6/7 - 2/7 - 6/7
= -2
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the distances male long jumpers for state college jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches. suppose a male long jumper's jump ranked in the 75th percentile (75% of jumpers jumped less distance). how long was his jump?
Answers
The male long jumper's jump, which ranked in the 75th percentile, was approximately 272.436 inches long.
To find the length of the male long jumper's jump at the 75th percentile, we can use the concept of z-scores and the standard normal distribution.
The 75th percentile corresponds to a z-score of 0.674. Using this z-score, we can calculate the distance of the jump by multiplying it by the standard deviation and adding it to the mean:
Distance = (z-score * standard deviation) + mean
Distance = (0.674 * 14) + 263
Distance ≈ 9.436 + 263
Distance ≈ 272.436
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I don’t understand I’m struggling with it
Answers
Answer:
(B)
Step-by-step explanation:
If you count, there'd be 16 blue chairs.
Therefore, B
Answer:
The answer is b
Step-by-step explanation:
When there is only 2 squares it wil be 2(4) (for 2 squares) and then 2(2) for the single square lw
So adding in another square will make it 2(6)+2(2)
=16 chairs