The minimum number of hard disks that can be used for implementing a RAID 10 solution is four (option c).
The minimum number of hard disks that can be used for implementing a RAID 10 solution on the video editor's desktop workstation is four (option c). RAID 10, also known as RAID 1+0, combines elements of RAID 1 (mirroring) and RAID 0 (striping) to provide both data redundancy and improved performance.
In RAID 10, data is mirrored across multiple drives to ensure redundancy. To implement RAID 10, we need at least two sets of mirrored drives, where each set contains a minimum of two hard disks.
The data is striped across these mirrored sets to enhance performance.
With four hard disks, you can create two mirrored sets, each consisting of two drives.
The data is then striped across these mirrored sets, providing both redundancy and improved read/write speeds.
If one drive fails in each mirrored set, the system can still function without data loss due to the mirroring.
This setup provides a balance between data protection and performance.
While more hard disks can be used in RAID 10 for larger capacities and better performance, the minimum requirement is four hard disks.
Using fewer drives would not allow for the necessary mirrored sets and striping required for RAID 10.
By implementing a RAID 10 solution with four hard disks on the video editor's workstation, you can help safeguard against data loss in case of drive failure, ensuring the integrity and availability of important video editing data.
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10y=10y
what is the property of equality
Answer: Reflexive property of equality
This property says that any expression is equal to itself.
The reflexive property of congruence is a similar property, but it deals with congruences.
Answer:
The property will equal itself
Step-by-step explanation:
PLEASE HELP 25 POINTS PLUS BRAINLIEST
The missing length of the triangle using Pythagoras theorem is; x = 3
How to use Pythagoras Theorem?Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle. The right angle triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
The formula to find the sides is;
hypotenuse² = opposite + adjacent²
We are given;
Hypotenuse = 5
Opposite = x
adjacent = 4
Thus;
5² = x² + 4²
x² = 5² - 4²
x² = 25 - 16
x = √9
x = 3
We conclude that it is the missing length of the triangle
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if f(x)=x23 is an antiderivative of f(x), find ∫(4f(x)−5x3)dx.
The integral of \((4f(x) - 5x^3)\) dx is equal to\(2x^24 - (5/4)x^4 + C\), where C is the constant of integration.
Given that f(x) =x^23 is an antiderivative of f(x), we can find the integral of (4f(x) - 5x^3) dx as follows:
∫(4f(x) - \(5x^3\))dx
= ∫4(x^23 ) dx - ∫5(\(x^3\)) dx [using linearity of integration]
= 4∫(x^23) dx - 5∫ (\(x^3\)) dx
= 4(2x^24/4 + C1) - 5(\(x^4/4\) + C2) [using the power rule of integration]
= 2x^24 - \((5/4)x^4\) + C, where C = 4C1 - 5C2 is the constant of integration.
Therefore, the antiderivative of (4f(x) - \(5x^3)\) is 2x^24 - \((5/4)x^4\) + C. This means that if we differentiate 2x^24 -\((5/4)x^4\) + C with respect to x, we will get (4f(x) -\(5x^3\)). The constant of integration, C, is not uniquely determined by the given integral, and its value depends on the initial conditions of the problem.
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f(x)=\left\{\begin{array}{ll}x+4&\quad-4\le x < 3\\2x-1&\quad3\le x < 6\end{array}\right.
This is a piecewise defined function. For input values of x between -4 and 3 (exclusive), the function is defined as f(x) = x + 4. For input values of x between 3 and 6 (exclusive), the function is defined as f(x) = 2x - 1.
You are going grocery shopping and want to spend less than $90. You have already bought $40 worth of
food and are wondering how many cartons of eggs you can get if they are each $4.49 each
Answer:
Total=$90
Used=$40
Left=($90-$40)=$50
1 carton = $4.49
$50÷$4.49
=11.135857 ≈ $11 10¢
*URGENT*
I’ve been stuck on these for the past two days please help
The value of x would be 1496 m.
What is trigonometry?
Trigonometry is based on the study of the six basic trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). These functions are defined in terms of the ratios of the sides of a right triangle. For example, the sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In the given figure, we can apply the trigonometric ratio, we get
sin22 = x/4000
0.374 = x/ 4000
x = 0.374 * 4000
x = 1496m
Hence, the value of x would be 1496 m.
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If f(3) = 9, what is f(1)
Answer:
3
Step-by-step explanation:
3*3=9
1*3=3
Answer:
3
Step-by-step explanation:
divide both sides by 3
A survey was conducted in which 125 families were asked how many cats lived in their households. The results are shown below. a) What is the probability that a randomly selected family has onecat? b) What is the probability that a randomly selected family has more than one cat? c) What is the probability that a randomly selected family has cats? d) Is this an example of classical, empirical, or subjective probability?
Number of Cats Number of Households
0 79
1 25
2 11
3 6
4 4
Total 125
a) The probability that a randomly selected family has one cat is 0.2 or 20%.
b) The probability that a randomly selected family has more than one cat is 0.21 or 21%.
c) The probability that a randomly selected family has cats (one or more) is 0.79 or 79%.
d) This is an example of empirical probability.
a) To find the probability that a randomly selected family has one cat, we divide the number of households with one cat (25) by the total number of households (125). This gives us a probability of 0.2 or 20%.
b) To calculate the probability that a randomly selected family has more than one cat, we add up the number of households with two, three, and four cats (11 + 6 + 4 = 21) and divide it by the total number of households (125). This gives us a probability of 0.21 or 21%.
c) The probability that a randomly selected family has cats (one or more) can be found by dividing the number of households with one or more cats (125 - 79 = 46) by the total number of households (125). This gives us a probability of 0.79 or 79%.
d) This is an example of empirical probability because it is based on observed data from the survey. Empirical probability involves using the frequency or relative frequency of an event occurring in a sample to estimate its probability. In this case, we calculate the probabilities based on the actual counts of households with different numbers of cats.
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Y = -(X +5) + X +4 if X = -4. Y = ?
Answer:
y=-1
Step-by-step explanation:
The midpoint of AB is M(6, 1). If the coordinates of A are (4, 8), what are the
coordinates of B?
Solve:
\(0=x^{5}+x^{4}-20x^{3}-68x^{2}-80x-32\)
The solution to the equation is x = -2, -1.46, -1, x = 5.46
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
0 = x^{5}+x^{4}-20x^{3}-68x^{2}-80x-32
Express properly
So, we have
x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0
Next, we plot the graph of x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0 to determine the solution graphically
See attachment for graph
From the graph, we have
x = -2, -1.46, -1, x = 5.46
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Sylvia earns commission on insurance sales. She sold a plan that costs 6,000 per year. Based on the chart, how much commission will Sylvia earn from this sale over the first three years?
The total commission Sylvia will earn over the first three years is $1,500.
Let's assume the commission rates are X% for the first year, Y% for the second year, and Z% for the third year.
Calculate the yearly commission amounts
To calculate Sylvia's yearly commission, we'll multiply the insurance plan cost (6,000) by the respective commission rate for each year.
First-year commission = 6,000 * (X / 100)
Second-year commission = 6,000 * (Y / 100)
Third-year commission = 6,000 * (Z / 100).
Calculate the total commission over three years
To find the total commission Sylvia will earn over the first three years, we'll add the yearly commission amounts calculated.
Total commission = First-year commission + Second-year commission + Third-year commission.
To calculate the commission Sylvia will earn over the first three years, we need to use the commission rates for each year:
In the first year, Sylvia will earn a 10% commission on the $6,000 plan, which is $600.
In the second year, Sylvia will earn an 8% commission on the $6,000 plan, which is $480.
In the third year, Sylvia will earn a 7% commission on the $6,000 plan, which is $420.
Therefore, the total commission Sylvia will earn over the first three years is:
$600 + $480 + $420 = $1,500
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Question: Sylvia earns commission on insurance sales. She sold a plan that costs 6,000 per year. Based on the chart, how much commission will Sylvia earn from this sale over the first three years?
Commission Schedule.
Year Rate
1 st 10
2 nd 8%
3 rd 7%
P rad
= 8
η 0
I 0
2
( λ
ℓ
) 2
2π 3
4
. This infinitesimal dipole is one of the few cases where we not only know the far field information, but also the near field information. These complete fields were also developed in one of the presentations and are repeated here for convenience: 1) H
ϕ
( r
)= a
^
ϕ
4π
ℓI 0
k 2
e −jkr
[ kr
j
+ (kr) 2
1
]sin(θ) 2) E
r
( r
)= a
^
r
4π
2ℓI 0
k 2
η 0
e −jkr
[ (kr) 2
1
− (kr) 3
j
]cos(θ) 3) E
θ
( r
)= a
^
θ
4π
ℓI 0
k 2
η 0
e −jkr
[ kr
j
+ (kr) 2
1
− (kr) 3
j
]sin(θ) 4) H
ϕ
( r
)= a
^
ϕ
jk 4π
ℓI 0
r
e −jkr
sin(θ) 5) E
θ
( r
)= a
^
θ
jkη 0
4π
ℓI 0
r
e −jkr
sin(θ) In the presentation on the small dipole, we found the real power passing through a sphere surrounding the dipole (in the far field) using equations 4 and 5. If we assume the sphere surrounding the dipole is NOT in the far field, we must use equations 1, 2, and 3. Show that we can still find the same power using equations 1,2 , and 3 WITHOUT presuming the 1/r 2
and 1/r 3
terms may be ignored. Hint: Write out the time-average Poynting vector using H
ϕ
( r
), E
r
( r
), and E
θ
( r
) without explicitly using all the terms on the right-hand sides of equations 1,2, and 3. Now, take the dot produce with d s
as required befo integrating. This should immediately reduce the complexity of the integrations. As we are in the near field, w must use: W
avg
= 2
1
Re( E
( r
)× H
∗
( r
))
Using equations 1, 2, and 3, we can find the same power passing through the sphere surrounding the dipole in the near field without neglecting the 1/r^2 and 1/r^3 terms. Simplifying the integrations by taking the dot product with ds ensures accuracy.
In the near-field region, we cannot neglect the 1/r^2 and 1/r^3 terms when calculating the power passing through a sphere surrounding the dipole. By considering equations 1, 2, and 3, we can write out the time-average Poynting vector, which represents the power flow. Taking the dot product of the Poynting vector with ds simplifies the integrations and allows us to find the power accurately, without making assumptions about neglecting certain terms.
This approach ensures that we account for all the relevant components of the electromagnetic fields in the near-field region, considering the complete expressions provided by equations 1, 2, and 3. By carefully calculating the dot product and integrating, we can obtain the same power value as we would in the far-field region.
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Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping.
Answer:
$177
Step-by-step explanation:
Answer:
117
Step-by-step explanation:
184+38=222
222-45=117
Graph the following system of inequalities.
Y≥x - 2
Y ≤ 4x - 2
A bus moves at the speed of 40 km/hr for a distance of 10km. How long did the bus travel?
Answer:
sorry i donk knows this question
suppose you want to encrypt the message 10101111 by encrypting the decimal number that corresponds to the message. what is the decimal number
To find the decimal number that corresponds to the message "10101111", you can convert the binary number to decimal.
By using the following formula:
decimal = \(sum(binary[i] X 2^{(n-i-1)})\)
binary = converting binary number
i = index of the current digit in the binary number
n = total number of digits in the binary number
\(2^{(n-i-1)}\) is the corresponding power of 2
use the following steps to convert the binary number "10101111"
Calculate the decimal value for each digit in the binary number:
binary[0] = 1, \(2^{(8-0-1)}\) = \(2^7\) = 128
binary[1] = 0, \(2^{(8-1-1)}\) = \(2^6\) = 64
binary[2] = 1, \(2^{(8-2-1)}\) = \(2^5\) = 32
binary[3] = 0, \(2^{(8-3-1)}\) = \(2^4\) = 16
binary[4] = 1, \(2^{(8-4-1)}\) = \(2^3\) = 8
binary[5] = 1, \(2^{(8-5-1)}\) = \(2^2\) = 4
binary[6] = 1, \(2^{(8-6-1)}\) = \(2^1\) = 2
binary[7] = 1, \(2^{(8-7-1)}\) = \(2^0\) = 1
Adding decimal values for each digit
Total decimal value = 1128 + 064 + 132 + 016 + 18 + 14 + 12 + 11
= 128 + 0 + 32 + 0 + 8 + 4 + 2 + 1
= 175
Hence, the decimal number that corresponds to the binary number "10101111" is 175.
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Please answer!
No links. No links to pictures, no fake answers. Please don’t make my day worse than what it is. Please answer correctly thank you!!
Answer:
essentially the fourth option is the best
Answer:
option 3
Step-by-step explanation:
If ABC~ DEF, what is the scale factor of ABC to DEF?
Answer:
that would be 1/2 because its the only one that could reduce the numbers.
Step-by-step explanation:
hope this helps,
kleann
The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The triangle ΔABC is similar to the triangle ΔDEF. Then the ratio of the corresponding sides will be constant. Then the scale factor is calculated as,
SF = 10 / 20
SF = 1 / 2
The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.
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4,2,1,3,51) What was the mean?2) What was the median?3) What was the minimum?4) What was the maximum?5) What was the range?6) What was the Q, (first quartile)?7) What was the Q, (third quartile)?
1. Mean = Sum of Numbers / Number of elements
Mean = (4 + 2 + 1 + 3 + 5) / 5 = 15 / 5 = 3
2. Arrange the numbers in ascending order
1, 2, 3, 4, 5
Median is the middle number
Since there are 5 elements that make up this data set, the median is the third element
Median = 3
3. Minimum = 1
4. Maximum = 5
5. Range = Maximum - Minimum = 5 - 1 = 4
6. Q (first quartile) is the median of the lower half of the data set or the middle value between the median and the lowest value of the data set
1, 2, 3, 4, 5
Q (first quartile) = 2
7. Q (third quartile) is the median of the upper half of the data set or the middle value between the median and the highest value of the data set
1, 2, 3, 4, 5
Q (third quartile) = 4
interquartile range = third quartile - first quartile = 4 - 2 = 2
help please much appreciated if you attempt to help
196 36 correct answer is 232
Answer:
728 cm²
Step-by-step explanation:
the surface area is the area of the 6 faces.
the opposite rectangular faces are congruent , then
SA = front/ back + sides + top/ bottom
= 2(14 × 14) + 2(6 × 14) + 2(14 × 6)
= 2 × 196 + 2 × 84 + 2 × 84
= 392 + 168 + 168
= 728 cm²
1.) Write a word problem that can be described by the division expression 3 divided by 1/4.
2.) Solve your word problem using a model. Use complete sentences to describe your model, and interpret the quotient in the context of your word problem. If you wish, you may upload a copy of your model.
3.) Use multiplication to check your answer in question #2. Show or explain all of your work.
The word problem can be:
"let's say that you have $3, and there is an item that costs $(1/4), how many of these items can you buy?"
And the solution is N = 12.
How to write the word problem?We want a problem that can be described by 3 divided by 1/4.
So, let's say that you have $3, and there is an item that costs $(1/4), how many of these items can you buy?
The solution to that question is given by:
\(N = \frac{3}{1/4}\)
2) To solve this, we can use a really simple model.
In one unit, we have 4 fourts.
Then in 3 units, we have 3*4 = 12 fourts.
Then the answer is 12.
3) How to use multiplication?
Remember that dividing by a fraction is equivalent to multiplying by the inverse of said fraction, then:
\(N = \frac{3}{1/4} = 3*(4/1) = 12\)
We got the same thing as above.
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Please help I don’t understand how to solve 13 and 14
Answer:
b. 4x + 22
Step-by-step explanation:
(x+5) + (x+5) + (x+6) + (x+6) = 4x + 22
how do u do number 10?
Answer:
C is the correct option
Question 2(Multiple Choice Worth 4 points)
(01.04 LC)
Given the linear functions f(x) = x -2 and g(x)=-3x + 4, determine (f- g)(x).
(f-g)(x) = -3x - 8
(f-g)(x)=-3x²-8
(f-g)(x) = -3x² + 10x - 8
(f-g)(x) = -3x² - 2x - 8
The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.
What is linear function?A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.
According to given information:To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).
The expression for (f - g)(x) can be found by subtracting g(x) from f(x):
(f - g)(x) = f(x) - g(x)
Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:
(f - g)(x) = f(x) - g(x)
= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]
= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]
= 4x - 6 [Combine like terms]
Therefore, (f - g)(x) = 4x - 6.
Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.
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I need help seeing if I’m correct with my answers .please and thank you
Answer:
Step-by-step explanation:
13) 5.38 Slightly off
14) 10.4 Correct
15) Can't read the numbers
16) 11.7 slightly off
17) Can't read (be careful with which side goes where in the Pythagorean Theorem calculation. a^2 + b^2 = c^2 where a and b are the two sides and c is the hypotenuse (across from the right angle).
18) 16.46
19) 10.57
20) 7.04
21) 4.87 It seems that the hypotenuse is given as 7.2, so the equation should be 5.3^2 + x^2 = 7.2^2
22) Same as in 21: 2.7^2 + x^2 = 6.5^2 x = 5.91
[But I'm having difficulty reading the problems due to fuzziness]
In AVWX, m V = (7x - 1)", mW = (4x + 16), and mZX = (3x – 17)". Find mZX.
The variables a and b vary inversely. Use the given values for a and b to write an equation relating a and
b.
a=2; b=5
Answer:
xy=10
Step-by-step explanation:
Vary inversely means x and y have a constant product. The graph is not a straight line. We find the product from the given set of values a=2, b=5 to get ab=10. Therefore xy=10 is the equation.
Sam's fish tank has a base area of 187in.? and a height of 16 inches. His fish tank is shown.
16 in.
A = 187 in 2
The tank is currently full of water. How many cubic inches of water should be added to completely fill the tank?
3
® 997 in.
2
B 1,994-
4,488in.3
D 2,992in.
Answer:
D. 2992 cubic inches of water
Step-by-step explanation:
Given data
Base Area= 187in^2
Height of 16 inches
The expression for the volume of a rectangular shaped tank is
V= Area*Height
substiute
V= 187*16
V=2992 in^3
Hence the volume is 2992 cubic inches of water
Project Profit (in million $) Investment (in million $)1 0.50 22 1.40 53 1.70 124 1.10 25 4.00 156 0.60 37 2.50 108 1.10 1BeFair wants to decide which projects to fund so that the total profit will be maximized. Formulate this problem in the space provided on the answer sheet.
The total profit will be maximized by using the objective function Z = 22x₁ + 53x₂ + 124x₃ + 25x₄ + 156x₅ + 37x₆ + 108x₇ + x₈
To formulate this problem mathematically, we need to define the decision variables, objective function, and constraints.
We will define a binary decision variable, \(x_i\), which indicates whether or not to invest in project i. If \(x_i\) = 1, the project i will be funded, and if \(x_i\) = 0, the project i will not be funded.
The objective is to maximize the total profit earned by investing in the selected projects. Thus, the objective function can be written as:
Maximize Z = 22x₁ + 53x₂ + 124x₃ + 25x₄ + 156x₅ + 37x₆ + 108x₇ + x₈
This objective function adds the profit of all the projects that will be funded based on the decision variable \(x_i\).
The total investment cannot exceed the available investment budget of $1 million, which can be written as:
0.50x₁ + 1.40x₂ + 1.70x₃ + 1.10x₄ + 4.00x₅ + 0.60x₆ + 2.50x₇ + 1.10x₈ <= 1
Additionally, the decision variables are binary, which means that x_i can only be either 0 or 1. Therefore, we can add binary constraints for each decision variable as follows:
x_i = 0 or 1 for i = 1,2,3,4,5,6,7,8
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