can someone explain this

In order to divide these polynomials, let's use the following property:

So we have:

The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

From the question, we have the following parameters that can be used in our computation:

This means that

Initial, a = 250 bacterial cultures.

Rate = 3

So, the recursive formulas is

f(n) = 3f(n - 1), where f(1) = 250

For the explicit formula, we have

f(n) = 250(3)ⁿ‐¹

Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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The differential equation to be solved is Nxy - 0.5ye-0.1x for osx54 with y(0) = 6.5 dx. This can be solved using Euler's method in MATLAB.

Follow the steps below.

Step 1: Create a function file - The differential equation needs to be defined in a function file first. Let's create a function file named "odefun.m".function dydx = odefun(x,y)

dydx = N*x*y - 0.5*y*exp(-0.1*x);

where N is a constant value that needs to be defined.

Step 2: Define the given values - Define the given values such as N, initial value y(0), and step size dx.

N = ...; %

Define N herey 0 = 6.5; %

Define initial value of y here. dx = ...; %

Define step size here

Step 3: Use Euler's method to solve the differential equation - Now, use Euler's method to solve the differential equation using a for loop. The MATLAB code is as follows: x = 0:dx:54; %

Define range of x values here y = zeros(size(x)); %

Initialize y as a vector of zeros y(1) = y0; %

Assign initial value of y to y(1) for i = 1: length(x)-1 dydx = odefun(x(i),y(i)); y(i+1) = y(i) + dydx*dx; end

Step 4: Plot the solution - Finally, plot the solution using the MATLAB command plot(x,y).

The complete MATLAB code is given below:

N = ...; %

Define N here y0 = 6.5; %

Define initial value of y here dx = ...; %

Define step size here x = 0:dx:54; %

Define range of x values here y = zeros(size(x)); % Initialize y as a vector of zeros y(1) = y0; %

Assign initial value of y to y(1) for i = 1: length(x)-1 dydx = odefun(x(i),y(i)); y(i+1) = y(i) + dydx*dx; end plot(x,y)

The plot of the solution will be displayed.

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The probability of getting:

a) 2 apples is 5/33

b) 1 apple and 1 orange 35/132 .

Here, we have,

given that,

A fruit basket contains 5 apples and 7 oranges.

Paul picks a fruit at random from the basket and eats it.

He then picks another fruit at random to eat.

so, we get,

total number of fruits = 12

now, we have,

a) P( pick 1 apple) = 5/12

then, P( pick another 1 apple) = 4/11

so, we get,

P( picking 2 apples) = 5/12 * 4/11 = 20/132 = 5/33

b) P( pick 1 apple) = 5/12

then, P( pick 1 orange) = 7/11

so, we get,

P( picking 1 apple and 1 orange) = 5/12 *  7/11 = 35/132

Hence, The probability of getting:

a) 2 apples is 5/33

b) 1 apple and 1 orange 35/132 .

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Answer:

40   mark Brainliest please

Step-by-step explanation:

15/40

Let the missing number be x .

Then :-

\( \frac{3}{8} = \frac{15}{x} \)

\( 3 \times x = 8 \times 15\)

\(3x = 120\)

\(x = \frac{120}{3} \)

\(x = 40\)

The missing number is 40 .

Let us check it by doing cross multiplication :-

\(3 \times 40 = 15 \times 8\)

\(120 = 120\)

Hence proved the missing number is 40 .

\(therefore \: , \frac{3}{8} = \frac{15}{40} \)

Answer:

x² + 5x + 4

Step-by-step explanation:

(x + 1) (x + 4)

apply the FOIL method

xx + (x * 4) + (1 * x) + (1 * 4)

xx + 4x + (1 * x) + (1 * 4)  

xx + 4x + 1x + 4

x² + 5x + 4

An Agile methodology aims for customer satisfaction through early and continuous delivery of useful software components developed by an iterative process using the bare minimum requirements.

Agile methodology is a software development approach that emphasizes flexibility, collaboration, and iterative development. It focuses on delivering value to customers by prioritizing their satisfaction and adapting to changing requirements throughout the development process. Agile methodologies, such as Scrum or Kanban, promote regular and incremental delivery of working software components.

This allows customers to provide feedback early on, ensuring that the final product meets their needs. By using an iterative approach, Agile methodologies enable teams to continuously refine and improve the software based on customer feedback and changing priorities. The emphasis on delivering useful software components and involving customers throughout the development process sets Agile apart from traditional waterfall methodologies.

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Answer:

4

Step-by-step explanation:

Because the perpendicular slope of a line should be the negative reciprocal. The slope of the line is -1/4. So the slope of the perpendicular line is 4

The slope of a line that is perpendicular to the given line is -1/4.

In mathematics, slope refers to the steepness or inclination of a line. It is defined as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.

To find the slope of a line that is perpendicular to this line, we need to use the fact that the product of the slopes of perpendicular lines is always -1.

So, let's call the slope of the given line "m". The slope of a line perpendicular to this line can be found by taking the negative reciprocal of "m". That is:

slope of perpendicular line = -1/m

For example, if the given line has a slope of 4, then the slope of a line perpendicular to it would be:

slope of perpendicular line = -1/4

Thus, the answer is -1/4.

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Answer:

71

Step-by-step explanation:

Answer:

\( \sqrt{41} \)

Step-by-step explanation:

for finding the hypotenuse we use the pythagoras theorem

To determine which expressions represent vectors, we need to understand the properties and characteristics of vectors. A vector is a mathematical object that has both magnitude and direction.

It can be represented geometrically as an arrow in space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.

Based on this definition, we can identify the expressions that represent vectors:

1. → u: This expression represents a vector. The arrow symbol (→) indicates that it has both magnitude and direction.

2. → v: Similarly, this expression represents a vector. The arrow symbol (→) indicates that it has both magnitude and direction.

3. k → u: This expression also represents a vector. Multiplying a vector by a scalar (k) does not change its nature as a vector. It only scales the magnitude of the vector while keeping its direction intact.

4. → u + → v: This expression represents a vector. Adding two vectors together results in another vector with a magnitude and direction determined by the combination of the original vectors.

5. → u - → v: Similarly, this expression represents a vector. Subtracting one vector from another also results in a new vector with a magnitude and direction determined by the operation.

6. k(→ u + → v): This expression represents a vector. Here, we have both scalar multiplication (k) and vector addition (→ u + → v), which combine to produce another vector.

The expressions listed above all represent vectors because they possess both magnitude and direction, which are fundamental properties of vectors.

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First determine 15% of 340. Multiple 15 (as decimal) by 340.

0.15 x 340 = 51

Find the total amount she earns by adding these values.

51 + 340 = 391

Therefore, she will make $391.

the awenser is three

hundred and fifty five dolars

Suppose a sample consists of the following data values, mean of the given value will be = 6

Considering that,

Sample size n =5

X = 7 4 9 8 2

Mean: x =∑xi/n = 7+4+9+8+2/ = 6

A mean in math is the average of a data set, found by adding all numbers together and then separating the amount of the numbers by the quantity of numbers. For example, with the data set: 8, 9, 5, 6, 7, the mean is 7, as 8 + 9 + 5 + 6 + 7 = 35, 35/5 = 7.

Median:

The sample size is odd. n = 5

Organize information in ascending order: 2 4 7 8 9

The Middle is the center number of organized (ascending or descending) information.

Middle = 7

Mode:

"Mode" is the worth which most often shows up in the information.

There is no mode in the given information.

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The correct inequality according to the given situation of the teacher would be (A) $385.41 ≤ m ≤ $539.58.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

When resolving an inequality, you can do one of the following: • Add the same amount to each side; Subtract the same amount from each side; Multiply or divide each side by the same positive amount.

We must flip the inequality sign if you multiply or divide each side by a negative number.

So, we know that teacher earns:

$1,541.65

25% of $1,541.65:

1,541.65/100 * 25

$385.4125

35% of $1,541.65:

1,541.65/100 * 35

$539.5775

Inequality: $385.4125 < x < $539.5775

Rounding off: $385.41 ≤ m ≤ $539.58

Therefore, the correct inequality according to the given situation of the teacher would be (A) $385.41 ≤ m ≤ $539.58.

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Correct question:
A high school teacher earns an average bi-weekly net pay of $1,541.65. which compound inequality correctly shows the amount of money, m, the teacher can spend if the monthly budget for housing is between 25% and 35%.

a. $385.41 ≤ m ≤ $539.58

b. $668.05 ≤ m ≤ $1,002.07

c. $770.83 ≤ m ≤ $1,079.16

d. $835.06 ≤ m ≤ $1,169.08

Answer:

84 quarters

Step-by-step explanation:

Answer: 84 quarters

Step-by-step explanation: 1 dollar is 4 quarters, so if you do 4 times 21 you would get your answer. Good luck!

Answer:

\(0 < \text{x} \le 4\)

If x is an integer, then x is any value in the set {1,2,3,4}

======================================================

Work Shown:

x = length of each side

6x = perimeter of the regular hexagon

The perimeter must be greater than 0.

Also, the perimeter must be less than or equal to 24. This is because of the phrasing "perimeter is at most 24 inches".

In other words, the perimeter is between 0 and 24, excluding 0 and including 24.

\(0 < \text{ perimeter } \le 24\\\\0 < 6\text{x} \le 24\\\\0/6 < 6\text{x}/6 \le 24/6\\\\0 < \text{x} \le 4\\\\\)

If x is an integer, then x can be any value in the set {1,2,3,4}

Examples:

=======================================================

Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

--------------

Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees

Answer:

$5.37

Step-by-step explanation:

Given the information, it will be easier to start with the pennies, dimes, and nickels and end with the quarters.

50 * 0.14 = P

50 * 0.14 = 7 pennies

50 * 0.38 = D

50 * 0.38 = 19 dimes

6 + P = N

6 + 7 = 13 nickels

50 - (P + D + N) = Q

50 - (7 + 19 + 13) = 11 quarters

(7 * 0.01) + (19 * 0.1) + (13 * 0.05) + (11 * 0.25) = 5.37

The probability that a randomly chosen arrival takes more than 12 minutes is approximately 0.0498 or 4.98%.

To solve this problem, we can use the fact that the time between arrivals in an exponential distribution follows the exponential distribution with parameter λ, where λ is the rate of arrivals per unit time.

In this case, the rate of arrivals is 15 patients per hour, or λ = 15/60 = 0.25 patients per minute.

Let X be the time between arrivals, then X follows an exponential distribution with parameter λ = 0.25.

To find the probability that a randomly chosen arrival takes more than 12 minutes, we need to calculate:

P(X > 12)

We can use the cumulative distribution function (CDF) of the exponential distribution to calculate this probability. The CDF of the exponential distribution is given by:

\(F(x) = 1 - e^(-λx)\)

So, we have:

P(X > 12) = 1 - P(X ≤ 12)

= 1 - F(12)

= \(1 - (1 - e^(-0.25*12))\)

=\(e^(-3)\)

Therefore, the probability that a randomly chosen arrival takes more than 12 minutes is approximately 0.0498 or 4.98%.

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Answer:

-9df^3 - 3f^3 - 7d^2 - 8d - 15625

Step-by-step explanation:

The scale of the first map is 1cm : 40 km

The scale of the second map is 1 cm : 1.25 km

The scale  of the third map is 1 cm : 12.50 km

A scale drawing is a smaller image of an original image. The map is a scale drawing.

Scale of the drawing = original dimensions / dimensions of the scale drawing

Scale of the first map : 120 / 3 = 40

The scale is 1cm : 40 km

Scale of the second map : 4 / 3.2 = 1.25

The scale is 1 cm : 1.25 km

Scale of the third map: 50 / 4 = 12.5

The scale  is 1 cm : 12.50 km

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Answer:

please help with this

Step-by-step explanation:

90° counterclockwise rotation

Answer:

c

Step-by-step explanation:

Answer:

The statue should be placed at the circumcentre of the triangle.

Step-by-step explanation:

The circumcentre of a triangle is the point that is formed by the intersection of the three perpendicular bisectors of each of the three sides.

This point is equidistant from all the three sides and is perpendicular to the three sides.

So, to place the statue, the parish Council can draw perpendicular bisectors for each sides and the intersection of these perpendicular bisectors would be the point where the statue can be placed.

Consider the diagram below.

Point P is the circumcentre of the triangle.

Answer:

The algebraic equation for the given sentence is

3x - 8 = 25

Answer:

Step-by-step explanation:

Choice

Answer:

Can you award me brainest

Each sentence should be completed with the correct unit as follows:

Measurement can be defined as an act or process through which the size, weight, magnitude, quantity, volume (capacity), dimensions, or distance traveled by a physical object or body is taken, especially for the purpose of an experiment.

In Mathematics, the correct unit of measurement for the weight of a physical body such as a large horse is either pound, grams, or kilograms. Additionally, the correct unit of measurement for the volume (capacity) of a physical object such as a bucket is either liter, gallon, cubic centimeter, or cubic meter.

Lastly, the correct unit of measurement for the size (width) of a physical object such as a piece of paper is either inches, feet, centimeter, or meter.

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The points on the ellipse 5x² + y² = 5 that are farthest away from (1, 0) are (-0.25, ±√4.6875).

The square of the distance from a point on the ellipse to the point (1, 0) is ...

 d^2 = (x -1)^2 +y^2

Using the equation of the ellipse to write an expression for y^2, we have ...

 d^2 = (x -1)^2 +5 -5x^2

 d^2 = -4x^2 -2x +6

The expression on the right is that of a downward-opening parabola with ...

 a = -4, b = -2, c = 6

The maximum is located at ...

 x = -b/(2a) = -(-2)/(2(-4)) = -1/4

The value of y there is ...

 y^2 = 5 -5(-1/4)^2 = 4 11/16

 y = √4.6875

Hence the points on the ellipse farthest from (1, 0) are (-0.25,±√4.6875).

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We are told that Sarina's piano teacher gave her a large candy bar

The candy bar has 2 and 1/2 servings and one serving has a mass of 39 grams.

We wsnt to determine the mass of the whole candy bar.

The mass of the candy bar can be found to be equal to;

Therefore, we get the mass of the candy bar as;

Therefore, the mass of the candy bar is 97.5 grams

Answer:

-4 + 10 and 8 - 2

Step-by-step explanation:

They both equal to 6