True, the links in the blockchain are created using an algorithm.
What is blockchain? Blockchain is a decentralized ledger technology that enables the secure exchange of digital assets across a network of participants without the need for a centralized authority or intermediary. The blockchain is created using an algorithm to secure the network and ensure that all transactions are transparent and verifiable.
In a blockchain, each block contains a cryptographic hash of the previous block, forming a chain of blocks (hence the name "blockchain"). The algorithm used to create the blockchain is a consensus algorithm, which ensures that all participants on the network agree on the same state of the ledger.
This consensus algorithm also ensures that no single participant can manipulate the ledger or change the contents of a block without being detected.
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mitchels room measures 10 inches by 6 inches on a scale drawing. what are the actual measermets of his room (in feet) of he uses a scale of 1 to 24?
width height
Answer:
20 ft by 12 ft
Step-by-step explanation:
(10 in x 24) / 12 ft = (240 in / 12 ft) = 20 ft
(6 in x 24) / 12 ft = (144 in / 12 ft) = 12 ft
Storage container J has a diameter of 5.25 and a hight of 6.25 centimeters. Which value is closest to the volume of storage container J?
A.51
B.103
C.135
D.540
Answer:
im not sure
Step-by-step explanation:
Answer:
the answer is 135
Step-by-step explanation:
Which is the length of the hypotenuse of the right triangle? Round your answer to the nearest tenth of a centimeter.
Hint: Pythagorean Theorem: a^2+ b^2 = c^2
Answer:
Length of hypotenuse of given triangle
= sqrt(356) (exact value)
= 18.87 (to 2 decimal places)
Step-by-step explanation:
Using the pythagorean Theorem,
The hypotenuse
c = sqrt(a^2+b^2)
= sqrt(16^2+10^2)
= sqrt(356) (exact value)
= 18.87 (to 2 decimal places)
The length of the hypotenuse of the right triangle is approximately
18.9 cm.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem:
c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides (the base and the height in this case).
Plugging in the given values, we get:
c² = 16² + 10²
c² = 256 + 100
c² = 356
c ≈ 18.9
Rounding the answer to the nearest tenth of a centimeter, we get:
c ≈ 18.9 cm
Therefore,
The length of the hypotenuse of the right triangle is approximately
18.9 cm.
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if 8x ≤ g(x) ≤ 4x4 − 4x2 + 8 for all x, evaluate lim x→1 g(x).
If 8x ≤ g(x) ≤ 4x4 − 4x2 + 8 for all x, x will be evaluated as lim x→1 g(x), 1 is 8.
To evaluate the limit of g(x) as x approaches 1, we must first examine the given inequality. It states that if 8x is less than or equal to g(x), and g(x) is less than or equal to 4x4 - 4x2 + 8, then this is true for all x.
Calculating the limit of g(x) as x approaches 1, we start by substituting x = 1 into the given inequality. This gives us 8(1) ≤ g(1) ≤ 4(1)4 - 4(1)2 + 8. Simplifying, this gives us 8 ≤ g(1) ≤ 8, so g(1) must be equal to 8.
Therefore, the limit of g(x) as x approaches 1 is 8.
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Left after party and you want to split it into four pieces what fraction of the original cake is each slice? A) 1/8. B) 1/4. C) 1/2. D) 2/1
Answer:
1/4
Step-by-step explanation:
because you are spitting it into fourths
Answer:
1/8
Step-by-step explanation:
A project has an initial cost of $30 million.The project is expected to generate a cash flow of $2.85 million at the end of the first year.All the subsequent cash flows will grow at a constant growth rate of 3.85% forever in future.If the appropriate discount rate of the project is 11%,what is the profitability index of the project? a.1.917 b.1.328 c.1.387 d.1.114 ortcehov e. None of the above
Profitability index is 1.387. Thus, the correct option is (c) 1.387.
The formula for calculating the profitability index is:
P.I = PV of Future Cash Flows / Initial Investment
Where,
P.I is the profitability index
PV is the present value of future cash flows
The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.
The present value of cash flows can be calculated using the formula:
PV = CF / (1 + r)ⁿ
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
n is the number of periods
For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.
Substituting the values, we get:
PV = 2.85 / (1 + 0.11)¹ = $2.56 million
To calculate the present value of all future cash flows, we can use the formula:
PV = CF / (r - g)
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
g is the constant growth rate
For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.
Substituting the values, we get:
PV = 2.85 / (0.11 - 0.0385) = $39.90 million
The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.
PV of future cash flows = $39.90 million + $2.56 million = $42.46 million
Profitability index (P.I) = PV of future cash flows / Initial investment
= 42.46 / 30
= 1.387
Therefore, the correct option is (c) 1.387.
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the sum of three nonnegative numbers is 36, and one of the numbers is twice one of the other numbers. what is the maximum value of the product of these three num- bers?
324 is the maximum value of the product of these three numbers
What is maxima and minima?
The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, and minima will be its lowest.
The extrema of a function are the maxima and minima. The maximum and minimum values of a function inside the specified ranges are known as maxima and minima, respectively. Absolute maxima and absolute minima are terms used to describe the function's maximum and minimum values, respectively, over its full range.
Let the three nonnegative numbers are x,y,z
According to the question
x+y+z=36
and y=2x
therefore, 3x+z=36--------------------------------------------------(1)
z=36-3x
Let 3xz= u--------------------------------------------------------------(2)
differentiating equation 2
du/dx=3z + 3xdz/dx
or
du/dx= z + xdz/dx
differentiating equation 1
3 + dz/dx = 0
dz/dx = -3
du/dz = 36-3x + x(-3)
du/dx = 12 - 2x--------------------------------------------------------------(3)
for maxima put du/dx = 0
x=6-------------------------------------------------------------------------------(4)
again differentiating du/dx = 12 - 2x
d2u/dx2=-2
which means 3xz= u is maximum at x=6
from equation 1 and 4
we get 18+z=36
z=18
Therefore 3xz= 3(6)(18)=324
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Translate each inequality
"18 less than the quotient of a number and -5 is no less than 31"
Answer:61
Step-by-step explanation:
A circle has a diameter of 12 units, and its center lies on the x-axis. what could be the equation of the circle? check all that apply. (x – 12)2 y2 = 12 (x – 6)² y² = 36 x² y² = 12 x² y² = 144 (x 6)² y² = 36 (x 12)² y² = 144
The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The circle has a diameter of 12 units. Hence, radius = 12/2 = 6 units.
The center of the circle is at x axis (*, 0), the equation could be:
(x - 6)² + (y - 0)² = 6²
(x - 6)² + y² = 36
The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36
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(4x-5)+(2x+1) CAn anyone help with this
Answer:
6x -4
Step-by-step explanation:
(4x-5)+(2x+1)
Combine like terms
4x+2x -5 +1
6x -4
If you multiply the age
of ann with 3 and
If you multiply
multiply the age
Subtract 1 from the result, you get the age
of her father. If you multiply the age of Ann
in 12 years with 2 and Subtract one from the
result you get the age of her father in 12 years,
How old is Ann now?
using linear approximation, estimate δf for a change in x from x=a to x=b. use the estimate to approximate f(b), and find the error using the calculator. f(x)=1x√, a=100, b=107.
The estimated value of f(b) using linear approximation is -24.44, and the error in the approximation is approximately 24.54.
Given, f(x) = 1/x^(1/2)We have to use linear approximation to estimate δf for a change in x from x = a to x = b, and then use the estimate to approximate f(b), and find the error using the calculator
.To find the δf using the linear approximation, we have to first find the first derivative of the function and then use it in the formula.
Differentiating f(x) w.r.t x, we get:f'(x) = -1/2x^(3/2)
Now, using the formula for linear approximation, we have:δf ≈ f'(a) * δxδx = b - a
Now, substituting the values, we get:δf ≈ f'(a) * δxδx = b - a = 107 - 100 = 7Thus,δf ≈ f'(100) * 7f'(100) = -1/2 * 100^(3/2)δf ≈ -35 * 7δf ≈ -245
To approximate f(b), we have:f(b) ≈ f(a) + δff(a) = f(100) = 1/100^(1/2)f(b) ≈ f(a) + δf = 1/100^(1/2) - 245 ≈ -24.44
To find the error, we can use the actual value of f(b) and the estimated value of f(b) that we found above:
Actual value of f(b) is:f(107) = 1/107^(1/2) ≈ 0.0948Thus, the error is given by: Error = |f(b) - Approximation|Error = |0.0948 - (-24.44)| ≈ 24.54
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help its mathhhhhhh ASAP
Assume the economy is experiencing low and stable inflation, averaging 2% a year. Nadia loans her good friend Brett $12,000 to buy a car . Nadia and Brett agreed that he would repay the loan over the next 5 years at a 5% fixed interest rate. How would Nadia and Brett be affected if next year the inflation rate unexpectedly rises to 6%?
If next year the inflation rate unexpectedly rises to 6%, Nadia will be losing annually 1% of the capital that she loaned to Brett.
Given that the economy is experiencing low and stable inflation, averaging 2% a year, and Nadia loans her good friend Brett $ 12,000 to buy a car, and he would repay the loan over the next 5 years at a 5% fixed interest rate to determine how would Nadia and Brett be affected if next year the inflation rate unexpectedly rises to 6% the following calculation should be performed:
Real interest = interest rate - inflation rate Interest pre inflationary increase = 5 - 2 = 3% per annum Interest post inflationary increase = 5 - 6 = -1% per annum
Thus, if next year the inflation rate unexpectedly rises to 6%, Nadia will be losing annually 1% of the capital that she loaned to Brett.
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Find the difference.
(−2g+7)−(g+11) =
Answer:
-3g-4
Step-by-step explanation:
(-2g+7)-(g+11)= -2g+7-g-11= -3g-4
Identify: Expressions that are equivalent by using _______ of operations?
Help Me!!!!! Please.
Answer:
commutative
Step-by-step explanation:
im pretty sure this is correct but sorry if im wrong
Create a table to show how the number of days is related to the number of hours. Show at least 5 days.
Answer:
Days Hours
1 24
2 48
3 72
4 96
5 120
6 144
Step-by-step explanation:
hope this helped:) just add lines and it will be a table
help meh...............
Answer:
Angles 6, 4, and 2 are congruent to angle 8.
Step-by-step explanation:
By the Opposite Angles Theorem, angle 6 is congruent to angle 8.
By the Corresponding Angles Theorem, angle 4 is congruent to angle 8.
By the Corresponding Angles Theorem, angle 2 is congruent to angle 6, and angle 6 is congruent to angle 8, so angle 2 is congruent to angle 8 by the Transitive Property.
If ~q → ~p and ~p → ~r, then —
If the premises ~q → ~p and ~p → ~r are true, then the logical conclusion is that if ~r is true, then both ~p and ~q must also be true.
From ~q → ~p, we can infer that if ~p is true, then ~q must also be true. This is because the conditional statement implies that whenever the antecedent (~q) is false, the consequent (~p) must also be false.
Similarly, from ~p → ~r, we can conclude that if ~r is true, then ~p must also be true. Again, the conditional statement states that whenever the antecedent (~p) is false, the consequent (~r) must also be false.
Combining these two conclusions, we can say that if ~r is true, then both ~p and ~q must also be true. This follows from the fact that if ~r is true, then ~p is true (from ~p → ~r), and if ~p is true, then ~q is true (from ~q → ~p).
Therefore, the logical deduction from the given premises is that if ~r is true, then both ~p and ~q are true. This can be represented symbolically as:
~r → (~p ∧ ~q)
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quadratic graphs
y=x squared - 4x
This is one way of doing it.
We want to get the function into vertex form.
y = x2 - 4x + 2 Subtract 2 from both sides.
y - 2 = x2 - 4x Add (-4/2)2 , or 4, to both sides.
y - 2 + 4 = x2 - 4x + 4 Now that the right hand side is a perfect square trinomial, factor it.
y + 2 = (x - 2)(x - 2)
y + 2 = (x - 2)2 Subtract 2 from both sides.
y = (x - 2)2 - 2
When the equation is in this form, we can see that this is the graph of y = x2 shifted to the right 2 units and shifted down 2 units. The vertex is at (2, -2). So plot the first point at (2, -2) and go up just like a basic parabola from there. :)
At 2:00pm a car's speedometer reads 50mph, and at 2:10pm it reads 70mph. Use the Mean Value Theorem to find an acceleration the car must achieve.
Answer(in mi/hr^2) =?????
The car must achieve an acceleration of 120 mi/hr^2 during the 10-minute interval according to the Mean Value Theorem. To find the acceleration of the car, we can use the Mean Value Theorem, which states that there must be a point in time between 2:00pm and 2:10pm where the instantaneous velocity of the car is equal to the average velocity over that time period.
The average velocity of the car over this time period is: Average velocity = (change in distance) / (change in time)
Average velocity = (70 - 50) / 10 minutes = 2 mi/min
To convert mi/min to mi/hr, we multiply by 60:
Average velocity = 2 mi/min * 60 min/hr = 120 mi/hr
So, there must be a point in time where the instantaneous velocity of the car is equal to 120 mi/hr. Now, we can use the formula for acceleration: Acceleration = (change in velocity) / (change in time)
We know the change in velocity is 70 - 50 = 20 mi/hr, and the change in time is 10 minutes, or 1/6 hour.
Acceleration = (20 mi/hr) / (1/6 hour) = 120 mi/hr^2
Therefore, the acceleration the car must achieve is 120 mi/hr^2.
Using the Mean Value Theorem and the formula for acceleration, we found that the car must achieve an acceleration of 120 mi/hr^2 between 2:00pm and 2:10pm.
Answer: Using the Mean Value Theorem, we can determine the acceleration the car must achieve between 2:00 pm and 2:10 pm. In the given scenario, the car's speed changes from 50 mph to 70 mph over a 10-minute time interval. To apply the Mean Value Theorem, first, we need to convert the time interval to hours. Ten minutes is equal to 1/6 of an hour (10/60). Now, we can find the average rate of change in speed (also known as acceleration) by dividing the change in speed by the change in time. The change in speed is 70 mph - 50 mph = 20 mph. The change in time is 1/6 of an hour. Therefore, the acceleration is: Acceleration = (Change in Speed) / (Change in Time) = 20 mph / (1/6 hr) = 120 mi/hr^2.
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Imagine the island of St. Elsewhere off the coast of Alaska. In
1900, 52 reindeer are introduced. If the growth rate is .12, what
will be the number of reindeer in 1920 (20 years later)
The number of reindeer in St. Elsewhere in 1920 will be approximately 475.
The growth rate of .12 indicates an annual increase of 12%, meaning that each year the number of reindeer will be multiplied by 1.12. To find the number of reindeer in 1920, we need to use this growth rate over the 20-year period from 1900 to 1920.
Starting with the initial 52 reindeer, we can multiply by 1.12 for each year. This gives us:
Year 1: 52 * 1.12 = 58.24
Year 2: 58.24 * 1.12 = 65.10
Year 3: 65.10 * 1.12 = 72.90
Year 4: 72.90 * 1.12 = 81.60
Year 5: 81.60 * 1.12 = 91.15
Year 6: 91.15 * 1.12 = 101.66
Year 7: 101.66 * 1.12 = 113.27
Year 8: 113.27 * 1.12 = 126.13
Year 9: 126.13 * 1.12 = 140.43
Year 10: 140.43 * 1.12 = 156.36
Year 11: 156.36 * 1.12 = 174.16
Year 12: 174.16 * 1.12 = 194.10
Year 13: 194.10 * 1.12 = 216.45
Year 14: 216.45 * 1.12 = 241.58
Year 15: 241.58 * 1.12 = 269.87
Year 16: 269.87 * 1.12 = 301.72
Year 17: 301.72 * 1.12 = 337.62
Year 18: 337.62 * 1.12 = 378.10
Year 19: 378.10 * 1.12 = 423.77
Year 20: 423.77 * 1.12 = 475.30
Therefore, the number of reindeer in St. Elsewhere in 1920 will be approximately 475.
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evaluate the impact of risky behaviour on your personal expectations in relation to your career help with maths too
Step-by-step explanation:
In triangle ADE:
sum of all angles is 180.
3x-10+58+42=180
3x+90=180
3x=180-90
3x=90
x=90/3
x=30
As line DA and CB are parallel:
angle D=angle C
angle y=58
In angle BCE, sum of angles is 180.
z+58+42=180
z+100=180
z=180-100
z=80
given the first layer of a convolutional neural network with units, and which inputs in grayscale images that have pixel dimensions, what is the size of the weight matrix for this cnn? describe what the rows/columns represent
To determine the size of the weight matrix for the given convolutional neural network (CNN), we need to consider the number of units in the first layer and the dimensions of the input grayscale images.
In a CNN, the weight matrix is used to perform the convolution operation, which involves applying filters to the input images. Each unit in the first layer corresponds to a specific filter or kernel. The size of the weight matrix will depend on the number of units in the layer and the dimensions of the filters.Let's assume that the number of units in the first layer is N, and the input grayscale images have pixel dimensions MxM. In this case, the weight matrix will have dimensions N x (K x K), where K represents the kernel size. Each row of the weight matrix corresponds to the weights associated with a specific unit in the first layer.The number of columns in the weight matrix is determined by the kernel size, which is typically a square matrix.
The values in the weight matrix represent the learnable parameters of the CNN. By adjusting the weights in the matrix, the CNN can learn to extract meaningful features from the input images and make accurate predictions. Overall, the size of the weight matrix for the given CNN is N x (K x K), where N is the number of units in the first layer, and K is the kernel size. The rows of the weight matrix correspond to the units in the first layer, and the columns represent the weights associated with each pixel in the kernel used for convolution.
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If a tractor trailer heading away from town traveling at 86 km/hour, brakes to a stop at an acceleration of -11.25 km/hr/s. How many seconds will it take for the tractor trailer to stop?
Answer:
185
Step-by-step explanation:
What is difference between internal and external trade
Answer:
Trade which takes place inside a country is known as internal trade. If trade takes place with other countries of the world, it is known as external trade.
Step-by-step explanation:
Answer:Internal refers to trade within the country itself while
External refers to trade with other countries whether foreign or bordering countries
Step-by-step explanation:
''Internal'' trade-Trade within the locals of the country itself
''External'' trade-refers to ;outside of the country...trade with other countries
Calculate each Poisson probability: a. P(X = 7), λ = 6 (Round your answer to 4 decimal places.) b. P(X = 11), λ = 12 (Round your answer to 4 decimal places.) c. P(X = 6), λ = 8 (Round your answer to 4 decimal places.)
P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.
The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.
To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!
Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.
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outside temperature over a day can be modeled as a sinusoidal function. suppose you know the temperature is 55 degrees at midnight and the high and low temperature during the day are 71 and 39 degrees, respectively. assuming t is the number of hours since midnight, find an equation for the temperature, d, in terms of t.
The equation for the temperature, d, in terms of t (the number of hours since midnight), is: d = 16 × sin((π/12) × t) + 55
To find an equation for the temperature, we need to determine the amplitude, period, phase shift, and vertical shift of the sinusoidal function.
The amplitude is half the difference between the high and low temperatures, which is (71 - 39) / 2 = 16 degrees. The period is the number of hours in a day, which is 24 hours. Since the temperature is at its highest point at 12:00 PM (midday), there is no phase shift. The vertical shift is the average of the high and low temperatures, which is (71 + 39) / 2 = 55 degrees.
Putting these values together, the equation for the temperature, d, in terms of t can be written as:
d = 16 × sin((2π/24) × t) + 55
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What is the sign of the product of three integers with the same sign? Explain your thinking
Answer:
The same sign that the integers have
Step-by-step explanation:
When 3 positive numbers are multiplied together, the product will be positive. In fact, when any number of positive numbers are multiplied together, the product will always be positive.
Examples: 5*7*14=490
1*2*3*4*5*6*7=5040
When 3 negative numbers are multiplied together, the product will be negative. Two negatives make a positive and a negative and a positive will make a negative. Because the product of the first two numbers will be positive, the final product will be negative.
Examples:
(-9)(-2)(-5)
Two negatives make a positive
= 18(-5)
A negative and a positive make a negative
= -90
I hope this helps! Please comment if you have any questions :)
A 2-kg sausage is divided into several 100-g portions. How many portions are there?
Answer:
20 portions
Step-by-step explanation:
2 kg = 2000 g
2000 / 100 = 20
Hope this helped! :)