when sediment is transported down a mountain and along a stream we are seeing the conservation of what

Answer:

V = 540 pi (Answer 2)

Step-by-step explanation:

V = pi(r^2)h

v = pi (12/2)^2 (15)

v = pi (36) (15)

v = 540 pi

The height of the building is approximately 125 feet to the nearest foot.

What is angle of incidence?

The angle of incidence is the angle formed by a ray of light or other wave as it approaches a surface, and a line perpendicular to that surface (known as the normal). It is the angle between the incident ray and the normal

We can use trigonometry to solve this problem. Let's assume the height of the building "h".

First, we need to find the distance between the man's eye level and the ground. We can use tangent function:

tan(85°) = h / 20

Solving for h, we get:

h = 20 * tan(85°)

h ≈ 125.36 feet

Therefore, the height of the building is approximately 125 feet to the nearest foot.

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The solution of the recurrence relation is \(a_n=3.2^n\)

For given question,

We have been given a recurrence relation \(a_n = 2a_{n-1}\) for n ≥ 1

and an initial condition \(a_0=3\)

Let \(a_n\) = m², \(a_{n-1}\) = m and \(a_{n-2}\) = 1

So from given recurrence relation we get an characteristic equation,

⇒ m² = 2m

⇒ m² - 2m = 0                     .........( Subtract 2m from each side)

⇒ m(m - 2) = 0                     .........(Factorize)

⇒ m = 0    or  m - 2 = 0

⇒ m = 0   or   m = 2

We know that the solution of the recurrence relation is then of the form

\(a_n=\alpha_1 {m_1}^n + \alpha_2 {m_2}^n\)  where \(m_1,m_2\) are the roots of the characteristic equation.

Let, \(m_1\) = 0   and \(m_2\) = 2

From above roots,

\(\Rightarrow a_n=\alpha_1 {0}^n + \alpha_2 {2}^n\\\\\Rightarrow a_n=0+\alpha_2 {2}^n\\\\\Rightarrow a_n=\alpha_2 {2}^n\)

For n = 0,

\(\Rightarrow a_0=\alpha_2 {2}^0\\\\\Rightarrow a_0=\alpha_2 \times 1\\\\\Rightarrow a_0=\alpha_2\)

But  \(a_0=3\)

This means \(\alpha_2=3\)

so, the solution of the recurrence relation would be \(a_n=3.2^n\)

Therefore, the solution of the recurrence relation is \(a_n=3.2^n\)

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output of the given input/output relationships is 36 and 25.

To illustrate a function, an input-output table can be used, as in the example below. The same function rule connects every pair of numbers in the table. To find each output number, multiply each input number (-value) by 3. ( -value).

Input-output analysis table: what is it?

The table of input-output analysis measures the flows of outputs from one industry as inputs into another (in rows) (in columns). In the input-output analysis paradigm, the original demand shift and its direct, indirect, and induced implications can be used to examine the overall economic impact of an event.

output = input +29

input= 7

output = input +29=7+29=36

input= -4

output = input +29= -4+29=25.

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Answer:

11x^2 - x + 15

Step-by-step explanation:

x^2-x+8+10x^2+7 =

= 11x^2 - x + 15

The equivalent ratio of 9:3 is 12:4 which is option second.

To find the equivalent ratio, first, we have to convert the given fraction into the simplest fraction.

The given fraction is 9:3. Its simplest form will be 3:1 or 3/1

Now to find the equivalent ratio we will multiply the numerator and denominator of the simplest fraction by the same number to get the equivalent fraction.

Let us first multiply the numerator and denominator of the simplest fraction by 2, we will get,

            (3*2)/(1*2) = 6/2 or 6:2

Then multiply by 3, we get

            (3*3)/(1*3) = 9/3 or 9:3

Similarly, multiply by 4, 5, …..and so on , we get

           (3*4)/(1*4) = 12/4 or 12:4

           (3*5)/(1*5) = 15/5 or 15:5 ……. So on

Hence the equivalents ratios of 9:3 are 6:2, 12:4 and 15:5

According to the option given the second option is correct which is 12:4

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Answer: 4/1

Step-by-step explanation:

Rise over run. Starting at 1 on the y axis this line moves up 4 and over (right) 1 before it hits 1 on the x axis.

 f(t) = L^(-1){1 / (s^2 + s)} Inverse Laplace transform tables or techniques, determine the time-domain function f(t) that satisfies the given integral equation.

The Laplace transform is a powerful mathematical tool that can be used to solve complex integral equations, like the one you've provided: f(t) + t * ∫(t - τ)f(τ)dτ = t.

To solve this equation using the Laplace transform, follow these steps:

1. Apply the Laplace transform to both sides of the equation. The Laplace transform of f(t) is F(s), and the Laplace transform of t is 1/s^2. The integral equation becomes:

  L{f(t)} + L{t * ∫(t - τ)f(τ)dτ} = L{t}

  F(s) + L{t * ∫(t - τ)f(τ)dτ} = 1/s^2

2. Next, apply the convolution theorem to the integral term. The convolution theorem states that L{f(t) * g(t)} = F(s) * G(s). In this case, f(t) = t and g(t) = (t - τ)f(τ):

  F(s) + L{t} * L{(t - τ)f(τ)} = 1/s^2

3. Now, substitute the known Laplace transforms for t and f(t):

  F(s) + (1/s^2) * F(s) = 1/s^2

4. Combine the terms containing F(s):

  F(s) * (1 + 1/s^2) = 1/s^2

5. Isolate F(s) by dividing both sides of the equation by (1 + 1/s^2):

  F(s) = (1/s^2) / (1 + 1/s^2)

6. Simplify the expression for F(s):

  F(s) = 1 / (s^2 + s)

7. Finally, apply the inverse Laplace transform to F(s) to obtain the solution for f(t):

  f(t) = L^(-1){1 / (s^2 + s)}

Using inverse Laplace transform tables or techniques, you can determine the time-domain function f(t) that satisfies the given integral equation.

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To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient. This value ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

The closer the coefficient is to -1 or 1, the stronger the correlation, while values near 0 indicate a weak or no correlation. Positive correlation, negative correlation, and no correlation are types of relationships between two variables.

Positive correlation (A) means that both variables tend to increase (or decrease) together. When one variable increases, the other also increases, and when one decreases, the other also decreases.

Negative correlation (B) means that two variables tend to change in opposite directions, with one increasing while the other decreases. When one variable increases, the other tends to decrease, and vice versa.

No correlation (A) means that there is no apparent relationship between the two variables. The changes in one variable do not seem to consistently affect the changes in the other variable.

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The female's have intercourse with the male's in a way that I can't describe on this website, and thus, the males give birth to the babies.

Answer:

This is an example of positive nonlinear association

Step-by-step explanation:

So we know for a fact that the relationship between the the variables in the scatter plot is positive because its going up

The relationship is non linear because it has a curve

The given scatterplot is option C. Positive Linear Association.

Here, we have,

we know that,

Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.

Given is a scatterplot.

A scatterplot is positive if an increase or decrease in one of the quantity results in the corresponding increase or decrease in the other quantity.

If it is opposite, then the relation is negative.

Here, when the x value increases, y value is also increasing.

So the relationship is positive.

A scatterplot show a linear relationship, if the values are closely resembling in a line.

Here the points are closely resembling on a line.

So it is linear.

Hence the relationship is positive linear relationship.

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answer:

A, D, E

step-by-step explanation:

A — 13 - 1 = 12

B — 15 - 7 = 8

C — 12 - 12 = 0

D — 28 - 16 = 12

E — 36 - 24 = 12

F — 29 - 25 = 4

Answer:

3192

3738

Step-by-step explanation:

So let’s say that 10 years is the variable B so your equation would be

B = 2100 x 5.2%

Well what is 5.2% of 2100

It is 109.2 and 109.2 x B + 2100 = the first question.

The answer is 3192

Now it is the same for the second one

Let C = 15 years

109.2 x C + 2100 = 3738

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

x = 9.47 degrees  ( in first quadrant.

Step-by-step explanation:

sin2x + sinx cos x = 1/2

Now sinx cos x = 1/2sin2x so:

3/2sin2x = 1/2

sin2x = 1/2 / 3/2

sin2x = 1/2 * 2/3 = 1/3

2x = arcsin 1/3 = 19.47 degrees

x = 9.74 degrees to nearest hundredth.

Answer:

x = 4/3 + 2y/3

Step-by-step explanation:

Step 1: Write equation

6x - 4y = 8

Step 2: Solve for x

(a) To find the mean and variance of the service times, we can use the given discrete distribution.

The mean can be calculated by taking the weighted average of the service times: Mean = (1 * 0.3) + (2 * 0.3) + (3 * 0.4) = 0.3 + 0.6 + 1.2 = 2.1 minutes
To find the variance, we need to calculate the squared deviations from the mean and then take the weighted average: Variance = [(1 - 2.1)^2 * 0.3] + [(2 - 2.1)^2 * 0.3] + [(3 - 2.1)^2 * 0.4]
      = [(-1.1)^2 * 0.3] + [(-0.1)^2 * 0.3] + [(0.9)^2 * 0.4]
      = 0.363 + 0.003 + 0.324
      = 0.69

(b) The traffic intensity (ρ) is the ratio of the mean service time to the mean interarrival time. In this case, the mean service time is 2.1 minutes, and the mean interarrival time is given as 2.2 minutes. Therefore:

Traffic Intensity (ρ) = Mean Service Time / Mean Interarrival Time
                    = 2.1 / 2.2
                    = 0.9545

(e) The system throughput is the average number of customers served per unit of time. Since the interarrival times are exponentially distributed, the system throughput can be calculated as the reciprocal of the mean interarrival time:

System Throughput = 1 / Mean Interarrival Time
                 = 1 / 2.2
                 ≈ 0.4545 customers per minute

(a) The long-run average waiting time (excluding service time) for each customer can be calculated using Little's Law. Little's Law states that the long-run average number of customers in a stable system is equal to the product of the long-run average arrival rate and the long-run average waiting time. Since the system is single-server, the arrival rate is the same as the throughput. Therefore:

Long-run Average Waiting Time = Average Number of Customers / Throughput
                            = 1 / System Throughput
                            ≈ 1 / 0.4545
                            ≈ 2.2 minutes

(e) The long-run average number of customers in the system can also be calculated using Little's Law. It is equal to the product of the long-run average arrival rate and the long-run average time a customer spends in the system. Since the arrival rate is the same as the throughput, and the service time includes both waiting time and service time, we can subtract the waiting time from the total service time to find the time spent in the system:

Long-run Average Number of Customers = Throughput * (Mean Service Time - Waiting Time)
                                   ≈ 0.4545 * (2.1 - 2.2)
                                   ≈ -0.0454

The negative value indicates that, on average, there are no customers in the system, which suggests that the system is underutilized or not operating at its full potential.

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Answer:

A. Graph D

Step-by-step explanation:

y >= -1/3x + 1

this means all the y values that are bigger (= above) than the line definition.

and because it says ">=", the line is included.

In the problem,

the given system of linear equations are 10x1 - 7x2 = 7 ...

(i)-3x1 +2.099x2 + 3x3 = 3.901 ...

(ii)5x1 - x2 +5x3 = 6 ...

(iii)Now, the solution of the system of equation using Gauss elimination with partial pivoting with five significant digits with chopping leads to the following solution:

x1 = 1.8975, x2 = 1.6677, x3 = 2.00088So, option (d) x1 = 1.8975, x2 = 1.6677, x3 = 2.00088 is the correct answer. Therefore, option (d) is the right option.

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The balloons reached the same altitude after 30 seconds.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. 

Let's say you go to the store to buy six apples.

You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.

We are aware of the quantity of apples and the amount of money in the aforesaid problem.

According to our question-

Purple balloon altitude = 2.5 t+0 m = 2.5 t

Starting at a height of 15 meters above sea level, the gold balloon rose 2 meters every second.

Altitude of the gold balloon: 2 t + 15 m

Hence , The balloons reached the same altitude after 30 seconds.

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Answer:

First question This parabola opens  to the right  so the standard form of the equation for this parabola is y^2 = 4px

for this question x=-2

2

0

2

for the third question The equation of the parabola is y^2 = 8x

Step-by-step explanation:

The equation for the parabola is y² = 4px, the equation of the directrix is x = -2, the focus is at (2, 0), and the value of p is 2.

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

From the graph the equation will be:

y² = 4px

The focus is (2, 0)

As the directrix is x = -2

The value of p = 2.

Thus, the equation for the parabola is y² = 4px, the equation of the directrix is x = -2, the focus is at (2, 0), and the value of p is 2.

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it's so easy just use a calculator:

8h: $95.60

15h: $179.25

38h: $454.1

Answer:

when x is any real number

Step-by-step explanation:

commutative property

Answer: it is linear

Step-by-step explanation: Find the degree of the equation to determine if linear.

Answer:

Yes

Step-by-step explanation:

Look up Desmos, it is graphing calculator... it will really help. REAL EXPLANATION: You put one point on -4, then do rise over run (2/1x), thus go up to over one. So on and so forth; this will result in a linear line.

The interval that is graphed in the number line is the one in option D:

[-4, 1]

Here we have an interval graphed on a number line. We can see that the interval starts at x = -4 and ends at x = 1.

Notice that bot ends have closed circles. These closed circles are used when the elements belong to the interval notation, and in those cases, we use the symbols [ ] to define the interval.

If instead we had open circles, we should use the symbols ( ), in that case, the ends do not belong to the interval.

Here because both of the ends are closed, the interval will be written as [-4, 1]

Then the correct option is D.

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Lines e and f are parallel because their alternate exterior angle is congruent. Option C is correct.

Find the diagram attached;

The point where two lines meet is known as an angle.

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Answer: Option 3 or C. Lines e and f are parallel because their alternate exterior angles are congruent.

Step-by-step explanation: The correct answer is C.  

I got it right on the Edge 2022 quiz. Trust me the proof is shown below.