Given the following infix expression, which one of the following is the corresponding postfix expression? w+x*y/z
wx+yz*/
or
wxy*z/+

Answer: 4,000,000, it’s like 2000, but 2000 times

Answer: 4000000

Step-by-step explanation:

Once you have followed these steps, you should be able to help the virologist conclusively decide what quantities a and b model by analyzing the given differential equations.

It seems that the specific functions a and b, as well as the differential equations, are not provided in your question. However, I can guide you on how to approach this problem using the given terms and general concepts.

A virologist studies the dynamics of infectious disease using mathematical models. The three quantities of interest are infected people (I), susceptible people (S), and immune people (R). Functions a and b will represent two of these three quantities. To determine which quantities a and b model, we can analyze the given differential equations and follow these steps:

Step 1: Identify the variables and their relationships
Look for the variables (S, I, and R) in the differential equations and analyze how they are related to each other. Determine if there are any rate constants or parameters that link the variables.

Step 2: Analyze the equations' behavior
Study the differential equations' behavior over time, considering different initial conditions. Observe if the equations exhibit any trends, such as an increase or decrease in the quantities.

Step 3: Compare the equations with known epidemic models
Compare the given differential equations with known epidemic models, such as the SIR model or the SEIR model. These models have well-defined equations that describe the rates of change for susceptible, infected, and immune individuals.

Step 4: Rule out alternatives
Based on your analysis, eliminate the alternatives that don't match the behavior exhibited by the differential equations. Ensure that your conclusion is supported by a logical argument.

Once you have followed these steps, you should be able to help the virologist conclusively decide what quantities a and b model by analyzing the given differential equations.

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Answer: 2/3x - 5

Step-by-step explanation:

The equation of a line passing through the given points is y = 2x/3-3

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, a line is passing through the points (3, -3) and (6,-1)

We know that, the equation of a line passing through two points is given by,

y-y₁ = (y₂-y₁/x₂-x₁)(x-x₁)

Therefore,

y+1 = (-1+3)/(6-3)(x-3)

y+1 = 2/3(x-3)

y = 2x/3-2-1

y = 2x/3-3

Hence, The equation of a line passing through the given points is y = 2x/3-3

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7^3x7^-5

7x7x7=343

-7x-7x-7x-7x-7=-16807

343x-16807

-5764801

hope it helps!

if not, sorry...

Answer:

about 46

Step-by-step explanation:

Answer:

D) (5x - 3) (25x^2+ 15x + 9)

Step-by-step explanation:

\(125 {x}^{3} - 27 \\ \\ = ( {5x)}^{3} - {(3)}^{3} \\ \\ = (5x - 3) \{(5x) ^{2} + 5x \times 3 + ( {3})^{2} \}\\ \\ = (5x - 3) \{25 {x}^{2} + 15x + 9\}\)

Answer:

105 students

Step-by-step explanation:

The computation of the number of students left the school is given below:

Let us assume the total students be  x  and 100%

Left percentage = 84%

Remaining percentage = 100% - 84% = 16%

Now according to the question

16% of x = 20

0.16x = 20

x = 20 ÷ 0.16

x = 125

Total students 125

Those who left is

= 84% of 125

= 105 students

Using the formula of compound interest and simple interest, the investment option that is better is at interest rate of 3.99% which is compounded monthly

To compare the investment options, you need to calculate the future value of each investment after 8 years. Here's a breakdown of each option:

A. 3.99% compounded monthly: This option earns interest every month and compounds, meaning the interest is added to the principal, so future interest is earned on the increased principal amount. This type of interest compound is the most advantageous to the investor. The formula for calculating the future value for this option is:

FV = P * (1 + r/n)^(nt)

FV = 12000(1 + 0.0399 / 12) * (12 * 8)

FV = $16,503.58

where P is the principal ($12,000), r is the annual interest rate (3.99%), n is the number of times the interest is compounded in a year (12 times), t is the number of years invested (8 years).

B. 4% compounded quarterly: This option earns interest every quarter and compounds. The formula for calculating the future value is the same as option A, with the only difference being the number of times the interest is compounded in a year (n=4).

Substituting the values into the formula;

FV = $16,499.29

C. 4.175% compounded annually: This option earns interest once a year and compounds. The formula for calculating the future value is the same as options A and B, with the only difference being the number of times the interest is compounded in a year (n=1).

Substituting the values into the formula

FV = $16,645.21

D. 4.2% simple interest: This option earns interest once a year based on the original principal amount and does not compound. The formula for calculating the future value for this option is:

FV = P(1 + rt)

FV = 12000 (1 +  0.042 * 8)

FV = $16032

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Answer:

Step-by-step explanation:

-25/40 + -64/40

-89/40

-2 9/40

Answer:

-2

Step-by-step explanation:

I searched it on gooogle

The next three successive approximations of the solution to the nonlinear problem y′(x).

To use Picard's method with φ0(x) ≡ 0, we can obtain the next three successive approximations of the solution to the nonlinear problem y′(x).

The Picard's method involves solving the differential equation iteratively by substituting the previous approximation into the equation to obtain a new approximation. In this case, the initial approximation φ0(x) ≡ 0 means that we start with a constant function equal to zero.

To obtain the first approximation, we substitute φ0(x) = 0 into the given nonlinear problem y′(x). This gives us a new equation y′(x) = 0.

Using this new equation, we can solve for the first approximation φ1(x). We integrate both sides of the equation with respect to x, giving us y(x) = c1, where c1 is an arbitrary constant.

For the second approximation φ2(x), we substitute φ1(x) = c1 into the nonlinear problem y′(x). Solving this equation will give us a new function φ2(x).

Similarly, for the third approximation φ3(x), we substitute φ2(x) into the nonlinear problem y′(x), and solve for φ3(x).

By repeating this process, we can obtain the next three successive approximations of the solution to the nonlinear problem y′(x). It is important to note that the accuracy of the approximations increases with each iteration, but the method may not always converge to the exact solution.

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Answer:

mk,m

Step-by-step explanation:

mlmkm km

An equation for revenue (r) as a function of (p) is R = 1380p - 10p²,

and R(25) = 28250.

Given that;

The cost of tickets for a specific series of concerts is set by a concert venue. The sales team discovers that 1,000 people on average attend concerts with tickets costing $38. The average attendance increases by 50 persons for every $5 decrease in price. Then,

Let 'T' be the number of times the price is decreased.

So, price;

     p = 38 – 5x

     x = (38 - p) / 5

And as per the given condition attendance;

a = 1000 + 50x

So, the Revenue is;

To develop an equation for revenue (r) as a function of p, the price of tickets;

R = p * a

R= p * (1000 + 50x)

But,  x = (38 - p) / 5

Then,

R = P * (1000 + 50(38 - p)/5)

  = p * (1000 + 380 - 10p)

  = p * (1380 – 10p)

  = 1380p - 10p²  → (I)

To get R(25) from (I);

R(25) = 1380(25) - 10(25)²

         = 34500 - 6250

         = 28250

Hence, an equation for revenue (r) as a function of (p) is R = 1380p - 10p²,

and R(25) = 28250.

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From the given information provided, the number of people having brown eyes in town is 180.

If the probability that a person in the town has brown eyes is 2/5, then we can expect that 2 out of every 5 people have brown eyes.

To find the number of people in the survey who would be expected to have brown eyes, we can use the following proportion:

(2/5) = (x/450)

where x is the number of people expected to have brown eyes.

Solving for x, we can cross-multiply:

5x = 2 × 450

5x = 900

x = 180

Therefore, the expected number of people in the survey who would have brown eyes is 180.

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Answer:

\(\pm\frac{2}{3}\)

Step-by-step explanation:

\(\sqrt{\frac{45}{20}}=\sqrt{\frac{5*9}{5*4}}=\sqrt{\frac{9}{4}}=\pm\frac{2}{3}\)

Answer:

x=7

Step-by-step explanation:

3(2x - 5) = 9(10 - x)

6x-15=90-9x

6x+9x=90+15

15x=105

x=7

Answer:

\(x = 7\)

Step-by-step explanation:

First, we need to expand the brackets:

\(3(2x-5)=9(10-x)\) (equation given)

\(6x-15=90-9x\)

\(15x -15 = 90\) (add \(9x\) on both sides)

\(15x = 105\) (add \(15\) on both sides)

\(x = 7\) (divide by \(15\) on both sides)

Hope this helps :)

Answer:

Step-by-step explanation:

4x4=16

16x4=64

its easy

The first term of a sequence along with a recursion formula for the remaining terms is given below: a1 = 1, an+1 = nan/n+3.

We need to write out the first ten terms of the sequence.

Here is the solution;

First term, a1 = 1

Second term, a2 = a1+1 = (a1*n)/(n+3) = (1*n)/(n+3) = n/(n+3)

Third term, a3 = a2+1 = (a2*n)/(n+3) = (n/(n+3)*n)/(n+3) = n²/((n+3)²)

Fourth term, a4 = a3+1 = (a3*n)/(n+3) = (n²/((n+3)²)*n)/(n+3) = n³/((n+3)³)

Similarly, we continue to get the next term as a5 = (n^4)/((n+3)^4)a6 = (n^5)/((n+3)^5)a7 = (n^6)/((n+3)^6)a8 = (n^7)/((n+3)^7)a9 = (n^8)/((n+3)^8)a10 = (n^9)/((n+3)^9)

Thus, the first ten terms of the sequence are: a1 = 1a2 = n/(n+3)a3 = n²/((n+3)²)a4 = n³/((n+3)³)a5 = (n^4)/((n+3)^4)a6 = (n^5)/((n+3)^5)a7 = (n^6)/((n+3)^6)a8 = (n^7)/((n+3)^7)a9 = (n^8)/((n+3)^8)a10 = (n^9)/((n+3)^9)

A recursion formula, also known as a recursive formula or recurrence relation, is a mathematical equation or definition that expresses the terms of a sequence or function in terms of previous terms. It is a way to define a sequence or function recursively, where each term depends on one or more previous terms.

Recursion formulas can also be used to define functions recursively. In this case, the recursion formula expresses the value of the function at a given point in terms of its values at previous points.

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The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.

To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.

Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.

Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.

Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.

Therefore, the correct answer is option c. π/4.

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Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

(9*4) + (6*2)

36 + 12

= 48

Step-by-step explanation:

no:questions=15

correct questions =9

marks for correct answers =9×4=36

incorrect answers=6

marks for incorrect answers =(-2)×6=(-12)

full marks =36 - (-12)

=36 + 12

=48

Answer:  x=-1-2 square root 7

Step-by-step explanation:

Therefore, the angle θ is approximately 38.5 degrees when the balloon is 580 ft high.

We can use trigonometry to relate the angle θ and the height h of the balloon. Let's call the distance from the anchor point to the balloon point A, and the distance from the anchor point to the ground point B. We know that AB is the length of the rope, which is 680 ft. We also know that the height of the balloon, h, is the vertical distance from point A to point C, where the rope meets the balloon.

Using the trigonometric ratios of sine and cosine, we can express the angle θ in terms of the height h:

sin θ = opposite/hypotenuse = h/AB = h/680

cos θ = adjacent/hypotenuse = BC/AB

We can solve for BC in terms of h by using the Pythagorean theorem:

AB^2 = BC^2 + AC^2

(680)^2 = BC^2 + h^2

BC^2 = (680)^2 - h^2

BC = sqrt((680)^2 - h^2)

Substituting BC and AB into the equation for cos θ, we get:

cos θ = BC/AB = sqrt((680)^2 - h^2)/680

Therefore, the angle θ in degrees is:

θ = arccos(sqrt((680)^2 - h^2)/680)

Now we can use this formula to find the angle θ if the balloon is 580 ft high:

θ = arccos(sqrt((680)^2 - (580)^2)/680) ≈ 38.5 degrees

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Answer:

5 / 37

Step-by-step explanation:

Solution:-

- An archer stall game was played to receive a prize to pierce an arrow through a polka dot balloon.

- There are three types of balloons clustered together. The distribution of each balloon is given as such:

                 Type                        Number

                 Solid                             15

                 Striped                          17

                 Polka Dot                      5

- The probability of an arrow piercing through a polka dot balloon can be determined from the basic definition of probability of an event.

- Define event ( A ) : The number of Polka dots balloon popped

- Then, the probability of event ( A ) would be defined as:

    p ( A ) =  [ Number of polka dots balloons available ] / [ Total balloons ]

- We have 5 polka dots balloons among the cluster. The cluster comprises of balloons of all types with their specific distribution as expressed above. Hence:

                  p ( A ) = [ 5 ] / [ 15 + 17 + 5 ]

                  p ( A ) = [ 5 ] / [ 37 ]

- The probabbility that an arrow pops a polka dot balloon is 5 / 37.

Note: If we are given more than 1 arrow or multiple tries, then we must remember that the probability of event ( A ) changes after every popped balloon ( irrespective of type ). Hence, the probability of popping polka dot balloon is dependent event over number of trials. Except if you miss an arrow and none of the balloons is popped, only then the p ( A ) remains same for the next trial.

The magnitude of the vector a⃗ is 5.41 m. This means that the length of the vector is 5.41 meters,

The question asks for the magnitude of the vector a⃗ = (4.8 m) x^ + (-2.5 m) y^, which represents a vector in two-dimensional space. The magnitude of a vector represents the length of the vector and is always a non-negative scalar quantity.

To calculate the magnitude of a two-dimensional vector, we can use the Pythagorean theorem. This theorem states that the magnitude of a vector is equal to the square root of the sum of the squares of its components. In this case, the components of the vector a⃗ are (4.8 m) in the x direction and (-2.5 m) in the y direction.

By applying the Pythagorean theorem, we can compute the magnitude of a⃗ as follows:

|a⃗| = sqrt((4.8 m)^2 + (-2.5 m)^2)

|a⃗| = sqrt(23.04 m^2 + 6.25 m^2)

|a⃗| = sqrt(29.29 m^2)

|a⃗| = 5.41 m

Therefore, the magnitude of the vector a⃗ is 5.41 m. This means that the length of the vector is 5.41 meters, and its direction is determined by the angle between the vector and the positive x-axis.

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Answer:

f(z) is translated 3.5 units left.

The sampling probability refers to the property of an element of a given population in its given probability to become a part of a sample during the drawing of a single sample.

It is a defined and distinguished technique that is based on the principle of random selection to study a certain part of a concerning population. Furthermore, in this specific method, every member of the population has the possibility of having an equal chance of being chosen for the sample.

One backlash in the field of using sampling probability is it's very time-consuming and has a higher expenditure in comparison to other methods.

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