the water cycle describes how water __ from the ocean ,plants ,animalas or waste

Answer:

A

Step-by-step explanation:

because the numbers between -5 and 6 is either equal or more than -5 and less or equal to 6

Answer:

jsjsusjsksksisidjjdsksjks

Using a linear approximation at x = 0 for the function s(x) is not possible as the derivative is undefined at that point. The exact speed of a person traveling one mile in seconds is 1/60 miles per second.

To find the approximate average speed using a linear approximation for the function s(x), we need to find the equation of the tangent line to the curve at x = 0.

Given that the function s(x) gives a person's average speed in miles per hour if they travel one mile in 60x seconds, we can express s(x) as:

s(x) = 1 / (60x) miles per second

To find the linear approximation at x = 0, we need to compute the derivative of s(x) with respect to x:

s'(x) = d/dx (1 / (60x)) = -1 / (60x^2)

Next, we evaluate s'(0) to find the slope of the tangent line at x = 0:

s'(0) = -1 / (60 * 0^2) = undefined

As the derivative is undefined at x = 0, we cannot directly apply the linear approximation using the tangent line.

However, we can still find the exact speed if the person travels one mile in seconds. Given that s(x) = 1 / (60x) miles per second, we can substitute x = 1 into the function:

s(1) = 1 / (60 * 1) = 1 / 60 miles per second

Hence, the person's exact speed is 1/60 miles per second.

In summary, we cannot use a linear approximation at x = 0 for the function s(x). The person's exact speed is 1/60 miles per second.

To learn more about linear approximation visit : https://brainly.com/question/28325512

#SPJ11

For a z-score, We  transform a set of raw scores into a set of z-scores because we can compare scores from two different distributions i.e. D.

What exactly is the z-score?

The z-score is a statistical measurement that describes a value's relationship to the mean of a collection of values. The z-score formula is

z = (x - μ)/σ

x = data point

μ = mean

σ = standard deviation

Mean:- The sum of a collection of numbers divided by the total number of numbers in the set is known as the arithmetic mean, sometimes known as the arithmetic average or simply the mean or average. A survey, experiment, or observational research is usually used to create the collection.

Now,

As Z-scores are standardized scores that identify and define each score's exact placement within a distribution. We may conduct meaningful comparisons of z-scores across various samples or groups by converting our data (raw score).

hence,

          We transform a set of raw scores into a set of z-scores because we can compare scores from two different distributions.

To know more about z-score visit the link

https://brainly.com/question/15016913?referrer=searchResults

#SPJ1

The following ordered pair is given as {(1, -1), (2,0), (3,1)} for the given data of movement of arrow.

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.

An ordered pair consists of two items. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it might be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.

The following ordered pair is given as {(1, -1), (2,0), (3,1)} for the given data of movement of arrow.

To learn more about Set Theory refer to :

https://brainly.com/question/12742951

#SPJ1

Answer:

D

Step-by-step explanation:

Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

To know more about data forecasting, visit

https://brainly.com/question/28431229

#SPJ11

Answer:

Step-by-step explanation:

If diameter is 5, then the radius is 2.5 cm.

Area of circle = πR²

Area = 3.14 * 2.5^2 = 3.14 * 6.25 = 19.625

Circumference = π * Diameter

Circumference = 3.14 * 5 = 15.7

Answer:

Step-by-step explanation:

Objective: find the circumference and area of a circle.

Given values; diameter: 5cm, pie: 3.14.

Step one:

Circumference: pie x diameter

= 3.14 x 5cm = 15.7 cm (circumference)

Step two:

Area: ( pie x radius to the power of 2)

= 3.14 x 6.25 cm

= 19.625 (area)

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

\(\displaystyle \frac{\cos y}{1-\sin y}=\frac{1+\sin y}{\cos y}\)

On the left, we can multiply both layers by (1 + sin(y)):

\(\displaystyle \frac{\cos y}{1-\sin y}\left(\frac{1+\sin y}{1+\sin y}\right)=\frac{1+\sin y}{\cos y}\)

Multiply:

\(\displaystyle \frac{\cos y(1+\sin y)}{1-\sin^2 y}=\frac{1+\sin y}{\cos y}\)

From the Pythagorean Theorem, we know that sin²(y) + cos²(y) = 1. Hence, 1 - sin²(y) = cos²(y). Substitute:

\(\displaystyle \frac{\cos y(1+\sin y))}{\cos^2 y}=\frac{1+\sin y}{\cos y}\)

Cancel:

\(\displaystyle \frac{1+\sin y}{\cos y}=\frac{1+\sin y}{\cos y}\)

Hence proven.

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

To learn more about eigenvalues click here: brainly.com/question/29861415

#SPJ11

Answer:

To write the number 4,007,603 in expanded form using powers of 10 with exponents, we can break down each digit according to its place value:

4,007,603 = 4 * 10^6 + 0 * 10^5 + 0 * 10^4 + 7 * 10^3 + 6 * 10^2 + 0 * 10^1 + 3 * 10^0

This can be further simplified by removing the terms with a coefficient of zero:

4,007,603 = 4 * 10^6 + 7 * 10^3 + 6 * 10^2 + 3 * 10^0

To write 4,007,603 in expanded form using powers of 10 with exponents, we break down the number by its place values and use the power of 10 with exponents for each place value.

To write 4,007,603 in expanded form using powers of 10 with exponents, we can break down the number by its place values. Starting from the left, the first digit represents millions, the second digit represents hundred thousands, the third digit represents ten thousands, and so on. Using the power of 10 with exponents, we can write 4,007,603 as

4,000,000(10)6

+ 0

+ 7,000(10)3

+ 600(10)2

+ 3(10)0

https://brainly.com/question/25632734

#SPJ2

If the amount of money Deon earns working at a store is given in the table. He will earn $20 in the 20 hours.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

The given data is represented by a table that gives a relation between the money earned and the hour he works.

It is obtained that there is a proportional relationship obtained from the money earned and the hour he works as,

The rate when he worked for 3 hours.

r=Money earned /  hour

r=$ 37.50 / 3

r=12.5

The rate when he worked for 6 hours.

r=Money earned /  hour

r=$ 62.50 / 6

r=12.5

The rate when he worked for 7 hours.

r=Money earned /  hour

r=$ 87.50 / 7

r=12.5

The amount he earned for 20 hour is the product of the amount he earned for the one hour and the number of hours,

=$ 12.5 × 20

= $250.00

Thus, the amount of money Deon earns working at a store is given in the table. He will earn $20 in the 20 hours.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ5

As just a motion in the x-direction is needed for this transition, the motion is stiff: d.(x, y) → (x - 2, y) (x - 2, y).

A body's ability to change its location with respect to time is known as motion. The various motions include: 2.1 Straight line motion Particles in linear motion are those that move through one point to the other along a straight or curved path.

a.(x, y) → (2x, y + 2)

As this transformation only comprises a y-direction translation and an x-direction scaling, it is a stiff motion.

b.(x, y) → (2x, 2y)

Since this transformation involves scaling both the x and y axes without any translation, it is a dilation.

c.(x, y) →(x + 2, y + 2)

As this transformation only requires a translation in the x and y dimensions, it is a stiff motion.

d.(x, y) → (x - 2, y)

As this transformation solely requires a movement in the x-direction, it is a stiff motion.

To know more about motion visit:

brainly.com/question/12640444

#SPJ1

The corresponding sides and angles of both the triangles [pre-image and the image] are congruent

Hence,The corresponding sides and angles of both the triangles [pre-image and the image] are congruent

learn more about congruency here:

https://brainly.com/question/1675117

#SPJ13

For a production company of total 24 workers, who works in different shifts. The probability that all 6 workers are selected from the same shift is equals to the 0.0019.

We have a company with faculty working in different shifts. Total number of workers in company = 10 + 8 + 6 = 24

Number of workers work in day shift = 10

Number of workers work in swing shift= 8

Number of workers work in graveyard shift = 6

Now, 6 workers are randomly selected from among 24. That is any of group of 6 can be selected. Number of possible ways to select 6 out of 24 = ²⁴C₆=134,596.

Number of ways to select a group of 6 workers from morning shift = ¹⁰C₆ = 210

Number of ways to select a group of 6 workers from swing shift = ⁸C₆= 56

Number of ways to select a group of 6 workers from graveyard shift = ⁶C₆ = 1

Now, probability to select the group of 6 from morning shift = \(\frac{210}{134596}\)

Probability to select the group from morning shift = \(\frac{56}{134596}\)

Probability to select the group from graveyard shift=\(\frac{1}{134596}\).

Total probability for selecting a group of 6 workers from same shift \(= \frac{210}{134596} + \frac{56}{134596} + \frac{1}{134596} \)

\(= \frac{267}{134596}\)

= 0.00198

Hence, required probability is 0.0019.

For more information about probability, refer:

https://brainly.com/question/25870256

#SPJ4

Complete question:

a production company factory 10 workers on day shift , 8 workers on swing shift and 6 workers on graveyard shift. A quality control team select 6 workers for in depth interviews.. Suppose the selection made in such a way that any particular group of 6 workers has same chance to selecting as does any other group( drops 6 slips without replacement from among 24 )

what is the probability that all 6 workers are selected from the same shift, again, assume the employees are selected sequentially and not all at once. round your answer to four decimal places. save your answer as p all same.

Answer:

D

Step-by-step explanation:

The derivative dx for the curve defined by the equation dy = ex+y - xy is given by dx = (ex+y - xy - y) / [1 - (ex+y)].

To find dx for the curve defined by the equation dy = ex+y - xy, we can use implicit differentiation.

Taking the derivative of both sides with respect to x, we get:

d/dx(dy) = d/dx(ex+y - xy)

Using the chain rule, we have:

dy/dx = (d/dx)(ex+y) - (d/dx)(xy)

To differentiate ex+y, we use the chain rule again:

dy/dx = (ex+y)(d/dx)(x+y) - (d/dx)(xy)

dy/dx = (ex+y)(1 + dy/dx) - (x)(dy/dx) - y

Next, we isolate dy/dx by moving the terms involving dy/dx to one side:

dy/dx - (ex+y)(dy/dx) = (ex+y) - xy - y

dy/dx[1 - (ex+y)] = ex+y - xy - y

Finally, we can solve for dx:

dx = (ex+y - xy - y) / [1 - (ex+y)]

To know more about derivative:

https://brainly.com/question/29020856

#SPJ4

The probability that the sweet is a cherry sweet is given as follows:

p = 4/11.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The probability that it is an apple sweet is 2/11, and the ratio of apple sweets to pear sweets is 2: 5, hence the probability of a pear sweet is given as follows:

p = 5/11.

Then the probability that the sweet is a cherry sweet is given as follows:

p = 1 - (5/11 + 2/11)

p = 1 - 7/11

p = 11/11 - 7/11.

p = 4/11.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

Program State Model describes a precise mathematical description of the semantics of an executing program.

This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.

Learn more about model here

https://brainly.com/question/29810500

#SPJ4

According to the given formula, the value of a is:

60

If b=30 then 1/2a+2/3b=50

First, replace the 30 in b.

1/2a+2/3(30)=50

According to the order of operations, we must first multiply 2/3 by 30. yes:

2/3 times 30 is equal to 20.

2/3 times 30/1. 3 is 10 times 30, so 2 times 10 = 20. Now it looks like this:

1/2a+20=50

20 and 50 are similar terms, so I'll put those two together. Move the positive 20 to the other side where the 50 is. 20 has moved to the other side, so it changes sign and becomes negative.

yes:

1/2a=50-20

50-20 = 30

1/2a=30

Multiply each side by 2, because only 2 makes the variable 1a.

1/2a × 2 = 1a

30 times 2 = 60, so:

1a=60, which is also a=60. So a perfect simplification is a= 60

To know more about simplification visit:

https://brainly.com/question/23509407

#SPJ1

The system of equations that could be used to determine the number of gift wraps and the gift packs is x + y = 21 and 4.5x + 2y = 79.5

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the variables of the system of equations are:

From the question, we have:

Total gift = 21

Total minute = 79.5 minutes

Time spent on single wrap =  4.5 minutes

Time spent on gift pack =  2 minutes

So, we have the following system of equations:

x + y = 21

4.5x + 2y = 79.5

Hence, the system of equations that could be used to determine the number of gift wraps and the gift packs is x + y = 21 and 4.5x + 2y = 79.5

Read more about system of equations at

https://brainly.com/question/14323743

#SPJ1

Two motorcycles are initially traveling with different velocities and experience different accelerations for a four-second interval. The problem asks for the initial speed difference between the motorcycles and which motorcycle was moving faster.

Let's denote the initial velocities of cycles A and B as vA and vB, respectively. During the four-second interval, cycle A has an average acceleration of 1.8 m/s^2, and cycle B has an average acceleration of 3.8 m/s^2. We can use the formula for average acceleration, a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

From the given information, we have:

Cycle A: aA = 1.8 m/s^2, t = 4 s

Cycle B: aB = 3.8 m/s^2, t = 4 s

Using the formula, we can solve for the initial velocity difference:

aA = (vfA - vA) / 4

1.8 = (vfA - vA) / 4

vfA - vA = 7.2

aB = (vfB - vB) / 4

3.8 = (vfB - vB) / 4

vfB - vB = 15.2

From the above equations, we can see that the speed difference at the beginning of the four-second interval is 7.2 m/s (cycle A) and 15.2 m/s (cycle B).

To determine which motorcycle was moving faster, we compare the initial velocities. Since 7.2 m/s is less than 15.2 m/s, cycle A was moving faster initially.

To know more about average acceleration here: brainly.com/question/30459933

#SPJ11

Answer:

\(\frac{dc}{dt}\approx13.8146\text{ km/min}\)

Step-by-step explanation:

We know that the plane travels at a constant speed of 14 km/min.

It passes over a radar station at a altitude of 11 km and climbs at an angle of 25°.

We want to find the rate at which the distance from the plane to the radar station is increasing 4 minutes later. In other words, if you will please refer to the figure, we want to find dc/dt.

First, let's find c, the distance. We can use the law of cosines:

\(c^2=a^2+b^2-2ab\cos(C)\)

We know that the plane travels at a constant rate of 14 km/min. So, after 4 minutes, the plane would've traveled 14(4) or 56 km So, a is 56, b is a constant 11. C is 90+20 or 115°. Substitute:

\(c^2=(56)^2+(11)^2-2(56)(11)\cos(115)\)

Evaluate:

\(c^2=3257-1232\cos(115)\)

Take the square root of both sides:

\(c=\sqrt{3257-1232\cos(115)}\)

Now, let's return to our law of cosines. We have:

\(c^2=a^2+b^2-2ab\cos(C)\)

We want to find dc/dt. So, let's take the derivative of both sides with respect to t:

\(\frac{d}{dt}[c^2]=\frac{d}{dt}[a^2+b^2-2ab\cos(C)]\)

Since our b is constant at 11 km, we can substitute this in:

\(\frac{d}{dt}[c^2]=\frac{d}{dt}[a^2-(11)^2-2a(11)\cos(C)]\)

Evaluate:

\(\frac{d}{dt}[c^2]=\frac{d}{dt}[a^2-121-22a\cos(C)]\)

Implicitly differentiate:

\(2c\frac{dc}{dt}=2a\frac{da}{dt}-22\cos(115)\frac{da}{dt}\)

Divide both sides by 2c:

\(\frac{dc}{dt}=\frac{2a\frac{da}{dt}-22\cos(115)\frac{da}{dt}}{2c}\)

Solve for dc/dt. We already know that da/dt is 14 km/min. a is 56. We also know c. Substitute in these values:

\(\frac{dc}{dt}=\frac{2(56)(14)-22\cos(115)(14)}{2\sqrt{3257-1232\cos(115)}}\)

Simplify:

\(\frac{dc}{dt}=\frac{1568-308\cos(115)}{2\sqrt{3257-1232\cos(115)}}\)

Use a calculator. So:

\(\frac{dc}{dt}\approx13.8146\text{ km/min}\)

And we're done!

Answer:

the x

Step-by-step explanation:

Looking at the x in an equation can reveal its shape. A linear graph can look like y=x, y=mx, y=mx+b (m being any number).

When you look at graphs that aren't linear, the x doesn't stand alone in the equation.

Parabolas have a y=x^2 equation. Cubic graphs are y=x^3. They have something attached to the x.

To see all the different kinds of equations and what their graphs look like you can search up "parent functions" and all the basic formulas show up.

Answer:5/4 and x

Step-by-step explanation:

dont trust me sorry

Answer:

2.76 × 10^ − 4

Step-by-step explanation:

Step-by-step explanation:

13) 4x-22+x+11+10x-4 =180

15x=195

x=13

<P=(10(13)-4)=126

<Q=(4(13)-22)=30

<R=13+11=24

To find the points where the height of the Gateway Arch is 100 meters, we need to solve the equation y = 100 for x.

Substituting y = 100 into the equation for the central curve of the arch, we get:

100 = 211.49 - 20.96 cosh (0.03291765x)

Rearranging the equation, we get:

cosh (0.03291765x) = (211.49 - 100) / 20.96

cosh (0.03291765x) = 5.21

Taking the inverse hyperbolic cosine of both sides, we get:

0.03291765x = acosh(5.21)

x = (1/0.03291765) acosh(5.21)

Solving for x using a calculator, we get:

x = ± 64.975

Therefore, the height of the Gateway Arch is 100 meters at the points (64.975, 100) and (-64.975, 100).

To learn more about inverse : brainly.com/question/30339780

#SPJ11