marking brainliest for best answer and extra points

The Domain of the given function f(x)=x is number, as this function gives same value in return.

The two halves of a function are the domain and the range. The set of all possible input values makes up a function's domain, whereas its range refers to its potential output. Range, Domain, and Function. If there is a function f: A B that translates each element in A to a corresponding element in B, then A is the domain, and B is the co-domain. B, where (a,b) R, provides the representation of an element "a" under a relation "R." The collection ofreal  images encompasses the extent of the function.

Function is f(x) = x

Here the domain of the given function will be all the numbers i.e the set of real numbers.

Hence, the Domain of the given function is real number R.

Learn more about Domain, by the following link.

brainly.com/question/1942755

#SPJ4

subtract 123.95 from both sides

45w = -630

divide both sides by 45

w = -14

The size of the population after 3 months is approximately 1682.

Explanation:

(a) Given P’(t) = 500t * e^(-t^2/5), we need to find the formula for the population size after t months, given that the population is 2000 at t=0.

So, we need to integrate the function P’(t) to get the population function P(t).That is, P(t) = ∫P’(t)dt= ∫500t * e^(-t^2/5) dtLet’s use the substitution u = -t^2/5So, du/dt = (-2/5)*t

Now, dt = (5/(-2)) * duSubstituting the above values, we get:P(t) = ∫500t * e^(-t^2/5) dt= -250 ∫-t * e^u du= -250 e^u (-t - 5/2) + C= -250 e^(-t^2/5) (t + 5/2) + C

Now, P(0) = 2000Substituting this in P(t), we get:2000 = -250 e^(0) (0 + 5/2) + C= -1250 + CSo, C = 1250

Therefore, P(t) = -250 e^(-t^2/5) (t + 5/2) + 1250(b)

To find the size of the population after 3 months, we need to substitute t=3 in the function P(t) found in part (a). That is:P(3) = -250 e^(-3^2/5) (3 + 5/2) + 1250= 1681.8 (approx.)

Therefore, the population size after 3 months is approximately 1682.

(a) P(t) = -250 e^(-t^2/5) (t + 5/2) + 1250

The size of the population after 3 months is approximately 1682.

To learn more about integration visit:https://brainly.com/question/18125359

#SPJ11

To calculate the product of a vector and a scalar, we multiply each component of the vector by the scalar. We can also add multiple vectors, where we simply add the components of all the vectors along each direction. By using these methods, we can solve the given problem.

\(a) a⃗ +b⃗ = (2 + 3, -1 + 0, 1 + 5) = (5, -1, 6)\\b) a⃗ -c⃗ = (2 - 1, -1 - 4, 1 - (-2)) = (1, -5, 3)\\c) b⃗ -c⃗ = (3 - 1, 0 - 4, 5 - (-2)) = (2, 4, 7)\\d) 2a⃗ +3c⃗ = (2*2 + 3*1, -1*2 + 3*4, 1*2 + 3*(-2)) = (6, 6, -3)\)

In 3-dimensional vector calculations, it is important to consider the components of the vectors along i^, j^, and k^. To calculate the sum of two vectors\(a⃗ , b⃗\), we simply add the components of the vectors along all directions. Similarly, we can subtract two vectors by subtracting the components of the vectors along all directions. To calculate the product of a vector and a scalar, we multiply each component of the vector by the scalar. We can also add multiple vectors, where we simply add the components of all the vectors along each direction. By using these methods, we can solve the given problem.

The complete question is :

Given the three 3-dimensional vector \(a⃗ =(2,−1,1), b⃗ =(3,0,5), and c⃗ =(1,4,−2)\), where (x,y,z) are the components of the vectors along \(i^, j^, k^\)respectively, calculate the following:

\(a) a⃗ +b⃗\\b) a⃗ -c⃗\\c) b⃗ -c⃗\\d) 2a⃗ +3c⃗\)

Learn more about vector here

https://brainly.com/question/15709504

#SPJ4

Answer:

g

Step-by-step explanation:

The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

Learn more about dataset here:

https://brainly.com/question/26468794

#SPJ11

Answer:

i'm pretty sure its 36

Step-by-step explanation:

Answer:

0.142

Step-by-step explanation:

From the question, we identify the following parameters;

n = 49

p = 82% = 82/100 = 0.82

alpha, α = 1-0.99 = 0.01

Zα/2 = Z_0.005 = 2.575

margin of error = Zα/2 * √( p(1-p)/n)

Margin of error = 2.575 * √(0.82)(1-0.82)/49

Margin of error =0.1416005 which is approximately 0.142

Answer:

The answer to the question provided is -62.

The radius is half the diameter, that is:

In this case D=14 cm, hence:

therefore the radius is 7 cm.

Answer:

There is no Question or no images...

Step-by-step explanation:

The claim that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is false.

A context level data flow diagram (DFD) is a particular kind of diagram that shows how various system components interact with one another. The main objective of building a DFD is to visually depict the data flow and system activities.

The highest-level diagram that shows the system's overall operation without going into specifics about particular processes or data stores is a context level DFD, also referred to as a Level 0 DFD.

The statement that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is untrue. This is so because the context level DFD reflects the total functionality of the system.

Know more about computer programs here:

https://brainly.com/question/14588541

#SPJ11

Answer:

2*11+15=37

22+15=37

37=37

Step-by-step explanation:

Answer:

It would just be \(\frac{RS}{ST}\)

Hope it Helps!

If you could give me a brainliest it would help a lot in growing my account.

Answer:

I think it is the first one

Step-by-step explanation:

The diagonals of a Rhombus are congruent and perpendicular bisectors of each other​

If a parallelogram contains a pair of consecutive sides that are called congruent, then it is considered a rhombus, or if a parallelogram bisects two angles of the same, then it is a rhombus.

If the diagonals of a quadrilateral are perpendicular bisectors to each other, then the quadrilateral is a rhombus.

There are  general properties of a Rhombus are:

To know more about Rhombus:

https://brainly.com/question/12189679

#SPJ4

For WXYZ to be a parallelogram, the value of x must be 3.

A parallelogram is a quadrilateral in which opposite sides are parallel and equal to each other. Opposite angles are also equal to each other. In a parallelogram, diagonals bisect each other when they intersect each other.

In a parallelogram when diagonals intersect, they bisect each other.

So, WC and CY will be equal to each other

i.e. WC = CY

i.e. \(2x+5 = 3x+2\)

\(2x-3x = 2-5\)

\(-x=-3\)

\(x=3\)

Therefore, For WXYZ to be a parallelogram, the value of x must be 3.

To get more about parallelograms visit:

https://brainly.com/question/3050890

Answer:

x=3

Step-by-step explanation:

E2020

Answer:

30.67

Step-by-step explanation:

Given the following

Opposite side = x

Adjacent = 17

Angle = 61degrees

Using the SOH  CAH TOA identity

tan theta = opp/adj

tan 61 = x/17

x = 17tan61

x = 17(1.8040)

x = 30.67

Hence the value of x is 30.67

Answer:

It would be NEGATIVE because a positive number times a negative number, the answer is negative.

In a 4x3x2x2 factorial experiment, you have 4 independent variables and potentially 4 main effect hypotheses.

The 4 independent variables are represented by the four numbers in the experimental design

(i.e., 4 levels of variable A, 3 levels of variable B, 2 levels of variable C, and 2 levels of variable D).

The potentially 4 main effect hypotheses are one for each independent variable, which states that there is a significant effect of that independent variable on the outcome variable.

A factorial experiment includes multiple factors simultaneously, each consisting of two or more

levels. Many factors simultaneously influence what is studied in a factorial experiment, and

experimenters consider the main effects and interactions between factors.

To know more about Factorial experiment:

https://brainly.com/question/18402941

#SPJ11

If a local park is open for biking every 12 day open for paddling every 8 day and if today the park is open for both options, then the next date when the park will be open will be on the 24th day. So Hana should pick 24th day from today next.

Every 12 day the local park is open its path for biking and every 8 day they open their lake or paddling. That is in every multiple of 12 days the biking option is available and every multiple of 8 days the paddling option is available.

If today both the biking and paddling option are open, then the next day where both options will be open can be determined by calculating the least common multiple of 12 and 8.

12 = 2×2×3

8 = 2×2×2

LCM (12, 8) = 2×2×2×3

LCM(12, 8) = 24

LCM of 12 and 8 is 24. So 24 days from today, the park will be open for both options.

To know more on LCM

https://brainly.com/question/20739723

#SPJ4

Answer:

30%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

P(9) = 1/4

P(9) % = 100/4 = 25%

Answer:

A 0.6 0.9 1.2 1.5 1.8

B 3/8 5/8 7/8 9/8 11/8

C -7 -5 -3 -2 -1

D 1, 1 1/3, 1 2/3, 2, 2 1/3

E 0.61 0.72 0.83 0.94 1.05

Step-by-step explanation:

Answer:

A.  x  x   1.2  1.5  1.8

B.  3/8   x   x  x  1 2/8

C.  x  x  -3  -2  -1

D.   0  x  x  x  5 1/3

E.   x  x   0.83  0.94  1.05

Step-by-step explanation:

hope it helped

Answer:

Step-by-step explanation:

FIRST ONE

Sasha should use 2 desired outcomes in her probability calculation to determine that she has a 1/3 chance of winning the game.

To calculate Sasha's probability of winning, we need to determine how many desired outcomes she has. In this game, Sasha needs to spin a number higher than both of her friends' spins, which means she needs to spin a number greater than 1 and 4.

Let's analyze the spinner pictured. From the image, we can see that the spinner has numbers ranging from 1 to 6. Since Sasha needs to spin a number higher than 4, she has two options: 5 or 6.

Now, let's consider the desired outcomes. Sasha has two desired outcomes, which are spinning a 5 or spinning a 6. If she spins either of these numbers, she will have a number higher than both of her friends and win the game.

To calculate Sasha's probability of winning, we need to divide the number of desired outcomes by the total number of possible outcomes. In this case, the total number of possible outcomes is the number of sections on the spinner, which is 6.

Sasha's probability of winning is 2 desired outcomes divided by 6 total outcomes, which simplifies to 1/3.

For more such questions on probability

https://brainly.com/question/251701

#SPJ8

.

Answer:

The value of the vehicle would be $7,242

Step-by-step explanation:

Given,

The original value of the vehicle, P = $29,800,

Rate of depreciation, r = 9% = 0.09

Time, t = 15 years,

Thus, the value of the car after 15 years,

\(A=P(1-r)^t\)

\(=29800(1-0.09)^{15}\)

\(=29800(0.91)^{15}\)

\(=7241.64363066\)

\(\thickapprox \bold{\$ 7,242}\)

The expression for the geometric sequence is \(t_{40}\) = 5× \(4^{39}\).

Geometric sequence:

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. Its general term is. \(a_{n}\)= a. \(r^{n-1}\). The value r is called the common ratio. It is found by taking any term in the sequence and dividing it by its preceding term.

Here we have to find an expression for the 40th term of the geometric sequence.

The first term is(a) = 5

Common ratio (r) = 4

Formula to find the nth term in the geometric sequence:

\(t_{n}\) = a\(r^{n-1}\)

Now we have to find the 40th term of the sequence:

n = 40

a = 5

r = 4

\(t_{40}\) = 5\(4^{40 - 1}\)

Therefore the expression is 5× \(4^{39}\)

To know more about the geometric sequence refer to the link given below:

https://brainly.com/question/24643676

#SPJ4

Answer:

Step-by-step explanation:

hi