-2/3 -5x
What is the slope of the line represented by the equation y

Combining three popular technologies, blockchain: keys for cryptography. a network of peers that uses a shared ledger. a method of computation for storing exchanges and records.

Blockchain technology sets itself apart from conventional networks by offering transparency and integrity.

Integrity: When a user retrieves data from a network, he or she may be sure that the data is accurate and unaffected.

Transparency: Every user on the network may confirm any modifications made to the blockchain technology.

The read, write, create, and update operations to databases are provided by the traditional network, however the blockchain technology only enables users to attach the structure and already stored data cannot be changed.

When a new transaction is created, the blockchain makes sure to record it and perform transaction validation.

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The equation of the line will be 8x+10y=0

The equation of a line when two points are given is

y-y₁=m(x-x₁)

where,m=(y₂-y₁)/(x₂-x₁)

Here, m=(4--4)/(-5-5)

            =8/-10

Now,

 y-(-4)  = (8/-10)(x-5)

-10y-40=8x-40

8x+10y=0

The equation is 8x+10y=0

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Answer:

I think it might be a constant

Answer:

Your answer is 2 1/2.

Step-by-step explanation:

Divide 9 pounds of sand into 4 buckets, or 9÷4. This equals 2.5 pounds of sand in each bucket.

Answer:

2 1/4

Step-by-step explanation:

Based on the given conditions, formulate: 9/4

Evaluate the equation/expression: 2.25

get the result: 2.25

Answer: 2.25

2 1/4

Answer:

2,075 = 5 × 5 × 83

√2,075 = 5√83 = about 45.55

The overlapping event is (c) drawing a jack and diamond from a standard deck of cards.

The overlapping event is drawing a jack and diamond from a standard deck of cards

This is because drawing a jack and drawing a diamond are two separate events, but they can both happen at the same time if the jack of diamonds is drawn from the deck.

Drawing a face card and drawing a 3 from a standard deck of cards

These events are mutually exclusive, as a face card cannot be a 3, and a 3 cannot be a face card.

Drawing an ace and drawing an 8 from a standard deck of cards

These events are also mutually exclusive, as an ace cannot be an 8, and an 8 cannot be an ace.

Drawing a black card and drawing a diamond from a standard deck of cards

These events are also mutually exclusive, as diamonds are always red in a standard deck of cards, so a diamond cannot be a black card.

Therefore, the correct option is (c) drawing a jack and diamond from a standard deck of cards.

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Answer:75

Step-by-step explanation:

since there are 15 students and they each need 5 plates you just do 15x5 and get 75

A'(-2, 2), B'(-2, 4) and C'(-5, 3) are the coordinates of the new triangle which obtained by reflection across the y-axis

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given triangle is ABC.

The coordinates of A are (2, 2).

The coordinates of B are (2, 4)

The coordinates of C are (5, 3)

Now we have to plot the triangle reflection across the y-axis.

The rule for reflection across the y-axis.

(x, y)---->(-x,y)

So the new triangle will have coordinates A'(-2, 2), B'(-2, 4) and C'(-5, 3).

Hence, A'(-2, 2), B'(-2, 4) and C'(-5, 3) are the coordinates of the new triangle which obtained by reflection across the y-axis

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Using the compound interest formula A = P\((1 + r/n)^{(nt)}\) it is deduced that t will take approximately 16.8 years for your account to catch up to your friend's account.

We can use the formula for compound interest to solve this problem:

A = P\((1 + r/n)^{(nt)}\)

where:

A = the amount of money at the end of the investment period

P = the principal (initial amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time in years

For your account:

P = 1000

r = 0.08/12 = 0.00666667 (monthly interest rate)

n = 12 (compounded monthly)

A = P\((1 + r/n)^{(nt)}\) = 1000\((1 + 0.00666667/12)^{(12t)}\)

For your friend's account:

P = 2000

r = 0.05/12 = 0.00416667 (monthly interest rate)

n = 12 (compounded monthly)

A = P\((1 + r/n)^{(nt)}\) = 2000\((1 + 0.00416667/12)^{(12t)}\)

We want to find the time t when the two accounts have the same value:

1000\((1 + 0.00666667/12)^{(12t)}\) = 2000\((1 + 0.00416667/12)^{(12t)}\)

Dividing both sides by 1000 and simplifying, we get:

\((1 + 0.00666667/12)^{(12t)}\) = 2\((1 + 0.00416667/12)^{(12t)}\)

\((1.00055556)^{(12t)}\) = 2\((1.00034722)^{(12t)}\)

Taking the natural logarithm of both sides:

12t × ln(1.00055556) = ln(2) + 12t × ln(1.00034722)

12t = ln(2)/(ln(1.00034722) - ln(1.00055556))

t = 16.8 years (rounded to the nearest tenth of a year)

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Answer:

y=-6.

Step-by-step explanation:

1) the condition f(-1)=-6 and f(4)=-6 mean points A and B have coordinates (-1;-6) and (4;-6);

2) the points A and B has the same y-coordinate, it means, the required line is parallel to the x-axis and the required function is: y=-6.

P.S. the suggested way is not the only one.

The linear function f is f(x) = -6.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(-1) = -6

f(4) = -6

The linear function f can be in the form of f(x) = mx + c.

Now,

m = (-6 + 6) / (4 - 1)

m = 0/3

m = 0

Now,

f(-1) = -6

x = -1

f(x) = mx + c

f(-1) = 0 x -1 + c

-6 = 0 + c

c = -6

Now,

f(x) = -6

Thus,

The function f is a constant function.

f(x) = -6

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We have solved the equation AB=BC for A, assuming that A, B, and C are square matrices and B is invertible, then the solution is A=C B⁻¹.

First, let's take a look at the equation AB=BC. This is an equation that involves matrices, which are essentially rectangular arrays of numbers. In this case, we have three matrices: A, B, and C. The equation tells us that the product of A and B is equal to the product of B and C.

Now, we want to solve this equation for A. This means that we want to isolate A on one side of the equation and have everything else on the other side. To do this, we can use matrix algebra.

One property of matrices is that we can multiply both sides of an equation by the inverse of a matrix without changing the solution. Since we know that B is invertible, we can multiply both sides of the equation by B⁻¹, the inverse of B:

AB B⁻¹ = BC B⁻¹

Now, we can simplify the left side of the equation, because B times its inverse gives us the identity matrix I:

A I = C B⁻¹

Again, we can simplify the left side of the equation, because anything multiplied by the identity matrix stays the same:

A = C B⁻¹

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The graph passes through the point (0, 2), which is the y-intercept, and it increases rapidly as x increases, since the base is 3. As such, the graph of the given function is exponential with a base of 3 and a coefficient of 2.

The given function is f(x)=2(3)x, which can be written as f(x)=2(3)x . In this function, the base is 3, and the coefficient is 2. To graph this function, we can use a table of values to plot the points and connect them with a smooth curve.

First, we will choose a few values for x and find their corresponding values for y using the function. Let's choose x values of -1, 0, and 1, and find the corresponding y values. We get:

f(-1)=2(3)-1=2/3
f(0)=2(3)0=2
f(1)=2(3)1=6

Therefore, the table of values for the given function f(x) is as follows:

x f(x)
-1 2/3
0 2
1 6

Now, we can plot these points on a graph with the x values on the horizontal axis and the y values on the vertical axis. The points are (-1, 2/3), (0, 2), and (1, 6). We can then connect these points with a smooth curve to get the graph of f(x)=2(3)x as shown in option A.

The graph passes through the point (0, 2), which is the y-intercept, and it increases rapidly as x increases, since the base is 3. As such, the graph of the given function is exponential with a base of 3 and a coefficient of 2.

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Answer:

Australian dollar = n * 100 / 88

Step-by-step explanation:

n = American dollars

1 Australian dollar = 88 cents American

Answer:

\(x=3, JM=9\)

Step-by-step explanation:

The triangles are congruent by SAS. Using CPCTC,

\(9x-18=3x \\ \\ -18=-6x \\ \\ x=3 \\ \\ \\ \\ JM=9(3)-18=9\)

The statistics are as follows:

- Test Statistic: The calculated test statistic is approximately 1.02.

- P-value: The P-value associated with the test statistic of 1.02 is approximately 0.154.

- Confidence Interval: The 95% confidence interval for the difference in proportions is approximately -0.0186 to 0.0786.

To solve the problem completely, let's go through each step in detail:

1. Test Statistic:

The test statistic can be calculated using the formula:

z = (p1 - p2) / √[(p_cap1 * (1 - p-cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

Substituting these values into the formula, we get:

z = (0.55 - 0.53) / √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

z = 0.02 / √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

z ≈ 0.02 / √(0.0001386 + 0.0002493)

z ≈ 0.02 / √0.0003879

z ≈ 0.02 / 0.0197

z ≈ 1.02 (rounded to two decimal places)

Therefore, the test statistic is approximately 1.02.

2. P-value:

To find the P-value, we need to determine the probability of observing a test statistic as extreme as 1.02 or more extreme under the null hypothesis. We can consult a standard normal distribution table or use statistical software.

The P-value associated with a test statistic of 1.02 is approximately 0.154, which means there is a 15.4% chance of observing a difference in proportions as extreme as 1.02 or greater under the null hypothesis.

3. Confidence Interval:

To estimate the difference in proportions with a 95% confidence interval, we can use the formula:

(p1 - p2) ± z * √[(p_cap1 * (1 - p_cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

z = 1.96 (for a 95% confidence interval)

Substituting these values into the formula, we get:

(0.55 - 0.53) ± 1.96 * √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

0.02 ± 1.96 * √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

0.02 ± 1.96 * √(0.0001386 + 0.0002493)

0.02 ± 1.96 * √0.0003879

0.02 ± 1.96 * 0.0197

0.02 ± 0.0386

The 95% confidence interval for the difference in proportions is approximately (0.02 - 0.0386) to (0.02 + 0.0386), which simplifies to (-0.0186 to 0.0786).

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The cost to border the outside of the mural using 1-centimeter square tiles is 600 dollars.

The area of Rectangle is length times of width.

We have been given that a rectangular mural has a length of 90 centimeters and a width of 30 centimeters less than its length.

Length = 90 cm

Width = 90 - 30 = 60 cm

The formula to calculate the perimeter of a rectangle,

Perimeter = 2(length + breadth)

Perimeter = 2(90 + 60)

Perimeter = 2(150)

Perimeter = 300

Therefore, the cost to border the outside of the mural using 1-centimeter square tiles costs $2 each.

= 300 x 2

= 600 dollar

Hence, the cost to border the outside of the mural using 1-centimeter square tiles is 600 dollars.

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\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{h}{3}~~,~~\underset{k}{1})} \qquad \stackrel{radius}{\underset{r}{2}} \\\\[-0.35em] ~\dotfill\\\\( ~~ x - 3 ~~ )^2 ~~ + ~~ ( ~~ y-1 ~~ )^2~~ = ~~2^2\implies (x -3)^2 + (y -1)^2 = 4 \\\\\\ (x^2-6x+9)+(y^2-2y+1)=4\implies x^2-6x+y^2-2y+10=4 \\\\\\ ~\hfill~ {\Large \begin{array}{llll} x^2-6x+y^2-2y+6=0 \end{array}} ~\hfill~\)

To create a full design for a solid with two choices, Solid of Revolution and Solid with known cross-sections, one can follow the steps below. Solid of Revolution: 1. Determine the boundaries of the base region: Choose the base region to be revolved, and identify the boundaries that determine it.

In this case, we shall consider the interval [a, b] on the x-axis. 2. Determine where it's being revolved: Decide where to revolve the region, and select the axis of rotation. In this case, the axis of rotation is the x-axis. 3. Make a 3-d sketch: Sketch the base region and revolve it around the axis of rotation to create a solid of revolution. Ensure to shade it appropriately and include dimensions.

In this case, we shall consider the interval [a, b] on the x-axis.2. Determine what the cross-sections are: Decide on the shape of the cross-sections that create the solid and the axis of orientation. In this case, we shall consider equilateral triangles with sides parallel to the y-axis.3. Make a 3-d sketch: Sketch the base region and the cross-sections that create the solid.

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Answer:

Step-by-step explanation:

Assuming that the velocity profile is constant throughout the vessel, the displayed velocity in the vessel can be calculated using the Doppler equation:

V = Vp × cos(θ)

where Vp is the peak velocity measured by the Doppler ultrasound and θ is the angle between the Doppler beam and the direction of blood flow.

Given that Vp = 60 cm/s and θ = 60 degrees, we can calculate the displayed velocity in the vessel when θ = 0 degrees:

V = 60 × cos(0) = 60 × 1 = 60 cm/s

Therefore, the displayed velocity in the vessel when the Doppler correction angle is set to 0 degrees is 60 cm/s.

Answer:

Yes

Step-by-step explanation:

She had more than me

I would help her but she has less than me

Answer: 197.55

Step-by-step explanation:

multiply the two numbers 65.85 times 3

Answer:

Step-by-step explanation:

sin x = 6.2/8

sin x = 0.775

x = 50. 8

Bye , have a nice day ! :-)

Applying the sine ratio, sin ∅ = opposite/hypotenuse, the value of x, to the nearest tenth of a degree, is: 50.8°.

When solving a right triangle involving the opposite side and hypotenuse, the sine ratio can be used which is, sin ∅ = opposite/hypotenuse.

Apply the sine ratio to find x

sin x = opp/hyp = 6.2/8

x = sin^(-1)(6.2/8)

x = 50.8°

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Answer:

-10

Step-by-step explanation:

-4 - 5 + 4 + (-5)

-9 + 4 - 5

-5 - 5 =

-10

Answer:

-10

Step-by-step explanation:

the answer is -10

combine the negatives to get -14

and positives to get 4

so you have -14+4=-10

Answer:

16 2/3 yards

Step-by-step explanation:

Hope this helps and have a wonderful day!!!!

The simplified form of the expression is -7/14, which is option C.

A fraction represents a portion of a whole. This whole may refer to a place or a group of places. The Latin word "fractio," which means "to break," is the source of the English word "fraction." The division of food and supplies as well as the lack of a bullion currency were among the mathematical issues that the Egyptians used fractions to solve because they were the first civilization to study fractions.

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).

The expression 4/14 - 11/14 can be simplified by finding a common denominator and combining the fractions:

4/14 - 11/14 = (4 - 11)/14 = -7/14

Hence, the simplified form of the expression is -7/14, which is option C.

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Answer:

y = 4/5x - 18/5

Step-by-step explanation:

y = mx + b

m = 4/5

(2, -2)

-2 = 8/5 + b

b = -10/5 - 8/5 = -18/5

y = 4/5x - 18/5

b) Using the standard normal distribution table or a calculator, we find that the area to the right of z = 2.5 is approximately 0.0062. Therefore, P(Y ≥ 90) ≈ 0.0062.

To solve these probability questions, we can use the properties of the normal distribution. Given that Y follows a normal distribution with a mean of 80 and a variance of 16, we can standardize the values using the z-score formula:

z = (x - μ) / σ

where x is the given value, μ is the mean, and σ is the standard deviation (which is the square root of the variance).

a) P(Y ≤ 70):

To find this probability, we need to calculate the z-score for 70 and then find the area to the left of that z-score in the standard normal distribution table or using a statistical software.

z = (70 - 80) / √16 = -10 / 4 = -2.5

Using the standard normal distribution table or a calculator, we find that the area to the left of z = -2.5 is approximately 0.0062. Therefore, P(Y ≤ 70) ≈ 0.0062.

b) P(Y ≥ 90):

Similarly, we calculate the z-score for 90 and find the area to the right of that z-score.

z = (90 - 80) / √16 = 10 / 4 = 2.5

c) P(70 ≤ Y ≤ 90):

To find this probability, we can subtract the probability of Y ≤ 70 from the probability of Y ≥ 90.

P(70 ≤ Y ≤ 90) = 1 - P(Y < 70 or Y > 90)

              = 1 - (P(Y ≤ 70) + P(Y ≥ 90))

Using the values calculated above:

P(70 ≤ Y ≤ 90) ≈ 1 - (0.0062 + 0.0062) = 0.9876

P(70 ≤ Y ≤ 90) ≈ 0.9876.

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