The required value of dosage in mg/min is given as 8 mg/min.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Given that,
The dose administered per hour is 60 mL/hr.
And, the infusion is given as 4g for 500 mL.
In order to calculate the dosage in mg/min, ratio and proportion method can be used as follows,
The 500 mL is for 4g.
Then for 1 mL, there is 4/500 g.
Thus, for 60 mL, there is 4/500 × 60 g.
Since 1 g = 1000 mg.
The above expression can be written as,
4/500 × 60 × 1000 mg = 480 mg
Now, the dosage can be calculated as,
480 mg/hr
= 480/60 mg/min
= 8 mg/min
Hence, the dosage in milligram per minutes is given as 8 mg/min.
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What is the slope of the line on this graph?
Enter your answer in the box.
to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} \implies \cfrac{-6}{2 +1} \implies \cfrac{ -6 }{ 3 } \implies \text{\LARGE -2}[/tex]
Answer:
The slope is 2
Step-by-step explanation:
To find the slope you divide the rise by the run. Rise being how many units it goes up or down) (run being how many units it goes to the side).
In this case the rise is -2 and the run is -1.
See in the picture, for every 2 units the line goes down, it moves one unit to the right.
so, -2/-1= 2
arrange the following five girls in order starting from the youngest
sue is older than ria but younger than jill one other girl separates jill and Michelle in age . Michelle is neither the youngest nor the eldest . Paula is the youngest.
need help fast
Answer:
Step-by-step explanation:
Sue is older than Ria, but Ria is younger than Jill. Ria is the middle of the three. Paula is the youngest. So the order would be Paula, Ria, Michelle, Jill, and Sue. Hope this was correct and hoped it helped. :)
If $900 is invested at 3%, compounded monthly, the future value S at any time t (in years) is given by the following.S = 900(1.0025)^12tHow long (in years) will it take for the amount to double? (Round your answer to one decimal place.)
Number of years it will take for the amount to double is 23 years
The principal amount = $900
The interest rate = 3%
The interest is compounded monthly
The given equation is
S = 900(1.0025)^12t
Where S is the final amount
t is the time period in years
The final amount is the double of principal amount
Final amount = 2 × 900
= $1800
Substitute the values in the equation
1800 = 900(1.0025)^12t
1.0025^12t = 1800/900
1.0025^12t = 2
Then value of t = ln(2) / 12ln (1.0025)
Divide the numbers
= 23.13b years
Therefore, the time period is 23 years
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Describe how the given function can be obtained by transforming the graph of the reciprocal function f(x)=x/1
(Just do letter A ty)
Translate the graph [tex]5[/tex] units right, reflect over the [tex]x[/tex]-axis, and then perform a vertical stretch with a factor of [tex]3[/tex].
Consider all three-digit numbers that can be created from the digits 0-9 where the first and last digits must be even and no digit can repeat. Assume that numbers can start with 0. What is the probability of choosing a random number that starts with 6 from this group? Enter a fraction or round your answer to 4 decimal places, if necessary.
The probability of choosing a random number that starts with 6 from this group is 1/5 Or 0.2.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, All three-digit numbers that can be created from the digits 0-9.
So, The digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 total of 10 digits.
No. of even digits is 4 and the number of odd digits is 5.
The total number of 3 digits that can be formed where the first and last digits must be even and no digit can repeat and can start with 0 is,
= 5×10×4.
= 200.
The number of digits starts with 6 in this group is,
= 1×10×4.
= 40.
∴ The probability of choosing a random number that starts with 6 from this group is (40/200) = 1/5 Or 0.2
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Hello can someone please help me out? Thank you i will give brainly
Answer:
Area = 28.27 in²
Step-by-step explanation:
Now we have to,
→ find the area of the circle.
Formula we use,
→ π × r²
Now the required area will be,
→ π × r²
→ 3.14 × 3²
→ 3.14 × 9
→ 28.27 in²
Hence, the area is 28.27 in².
Specific entries in a two dimensional array dataMatrix are identified by a logical index array logicalSelect. Assign the first numSelected of the selected elements to an array selectedData. Ex: If dataMatrix is [-2, 3, 6; 5, 78, 44; 9, -3, -53], logicalSelect is [ 1, 0, 0; 0, 0, 1; 1, 1, 1], and numSelected is 4, then selectedData is [-2; 9; -3; 44].
The first numSelected of the selected elements to an array selectedData is assigned in the programme.
Explain the term two dimensional array?Although the data are still saved linearly in memory, a two-dimensional array is a type of data structure that consists of a set of cells arranged in a two-dimensional grid, much like a table with columns and rows.The program for the given condition is-
function selectedData = SelectLogicalN( dataMatrix, logicalSelect, numSelected )
% SelectLogicalN: Return the first numSelected values of input 2D
% array dataMatrix indexed by localSelect indexing array.
%Inputs: dataMatrix - input data matrix (2D array)
%logiccalSelect - logical indexing array, can be 2D or linear
%numSelected - number of indexed elements to return in selectedData%
%Outputs: selectedData - column vector of logically indexed elements to return
dataMatrix = dataMatrix(logical(logicalSelect));
% assign tempSelected with logically indexed elements of dataMatrixtemp
Selected = dataMatrix
% find the size of tempSelected
s=size(tempSelected);
% remove the last element from the temp
SelectedselectedData =tempSelected
(1:s-1)end
Thus, the first numSelected of the selected elements to an array selectedData is assigned in the programme.
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help meeeeeeeeeee pleaseee
There would be 52 atoms after 25 years and it would take 13 years for half the number of atoms to remain.
What is radioactive decay?We know that the term radioactive decay has to do with the break down of a substance to form the daughter nuclei of the particular element. In this case, we have the decay function of the element to be; A(t) =200e^-0.054t.
t is the time taken for decay.
Now in 25 years we would have;
A(t) =200e^-0.054(25)
A(t) = 52 atoms
The time that it would take for half of the original number to remain is obtained from;
100 = 200e^-0.054t
100/200 = e^-0.054t
0.5 = e^-0.054t
ln(0.5) = -0.054t
t = ln(0.5)/-0.054
t = 13 years
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help. plsss i dont understand so gimme a answer or something
Coin's family has driven 318 miles in 6 hours. If they continue at this rate how far will they travel during the next 4 hours. complete the proportional statement with the selections.
Hello,
I hope you and your family are doing well!
To solve this problem, you need to set up a proportion using the information given in the problem. Let x represent the number of miles the family will travel during the next 4 hours. The proportion will look like this:
318 miles / 6 hours = x miles / 4 hours
To solve for x, you can cross-multiply and solve the equation:
318 miles / 6 hours = x miles / 4 hours
6 hours * 318 miles = 4 hours * x miles
1848 miles = 4x miles
x = 462 miles
Therefore, if the family continues at the same rate, they will travel a total of 462 miles during the next 4 hours.
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how manys pounds of mixed nuts that contain 20% peanuts must eugene add to 16 pounds of mixed nuts that contain 70% peanuts to make a mixture with 60% peanuts?
We might add 10 pounds of mixed nuts which include 20% peanuts by solving the governing equations.
What are equations?An equation is a claim that shows the equality of two mathematical expressions.
For instance, the equal sign separates the two equations that make up the equation 3x + 5 = 14: 3x + 5 and 14.
So, we need a total of x pounds of mixed nuts.
Peanuts weigh 0.70 pounds in this combo.
Three pounds of peanuts are used to create the 20% mixture, or 0.20*15.
The equation we got: 0.70 x + 3 = 0.40(x + 15)
Now, solve as follows:
0.70 x + 3 = 0.40(x + 15)
0.70 x + 3 = 0.40(x + 15)
0.70x + 3 = 0.40x + 6
0.70x - 0.40x = 6 - 3
0.30x = 3
x = 10 pounds
Therefore, we might add 10 pounds of mixed nuts which include 20% peanuts by solving the governing equations.
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Given g(x) = 3x + 6, identify the domain, range, and x-intercept of the function. Domain: 3 < x < 6; Range: −6 < y < ∞; x-intercept (2, 0) Domain: 3 < x < 6; Range: −∞ < y < 6; x-intercept (−2, 0) Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (2, 0) Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (−2, 0)
The linear function g(x) = 3 · x + 6 has the following features:
Domain: - ∞ < x < + ∞
Range: - ∞ < y < + ∞
x-Intercept: (- 2, 0)
How to find the domain, range and x-intercept of a linear function
In this problem we must determine the domain, the range and the x-intercept of a linear function, that is, a polynomial of the form y = m · x + b, where m is the slope and b is the x-intercept. We must find the information by understanding the following features:
The domain of a linear function is all real numbers.The range of a linear function is all real numbers. The y-intercept of the function is the point of the linear function where x = 0.If we know that the function is g(x) = 3 · x + 6, then its domain and range are - ∞ < x < ∞ and - ∞ < y < ∞ and its x-intercept is:
0 = 3 · x + 6
- 3 · x = 6
x = - 2
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Step-by-step explanation:
The given function is g(x) = 3x + 6.
Domain: The domain of a function is the set of all possible input values (x) for which the function is defined. Since the function is a linear equation, it is defined for all real values of x. Therefore, the domain of the function is: Domain: -∞ < x < ∞ Range: The range of a function is the set of all possible output values (y) that the function can produce. The slope of the given function is positive (3), so the function increases without bound as x increases.
Therefore, the range of the function is: Range: -∞ < y < ∞ x-intercept: The x-intercept of a function is the point at which the graph of the function intersects the x-axis. To find the x-intercept, we set y = 0 and solve for x. 0 = 3x + 6 -6 = 3x -2 = x Therefore, the x-intercept is (-2, 0).
So, the correct option is: Domain: -∞ < x < ∞; Range: -∞ < y < ∞; x-intercept (-2, 0).
The two figures are congruent. Find the measure of the requested side or angle
angle A = 63.7°, B= 26.3°, D= 49° , then angle C = 221
What are congruent shapes?Two shapes that are the same size and the same shape are congruent.Congruent shapes are shapes that are exactly the same.
The corresponding sides are the same and the corresponding angles are the same.
This means the corresponding angles of the two shapes are equal.
With this, angle A = 63.7°, angle B= 26.3° , angle D =49°
The sum of angles in a quadrilateral is 360°
therefore angle C = 360-(63.7+49+26.3)
C = 360-139
C = 221°
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What is the mean of this data 678,592,652,800,502,396,502,301
Hello,
I hope you and your family are doing well!
To find the mean of a set of numbers, you need to add up all of the numbers and divide the sum by the total number of numbers in the set.
In this case, the mean would be calculated as follows:
(678 + 592 + 652 + 800 + 502 + 396 + 502 + 301) / 8 = 515.25
So the mean of this data set is 515.25.
The mean is a measure of the central tendency of a data set and can be used to represent the entire set of numbers by giving a single value that is representative of the set as a whole. It is also known as the average.
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Here is a system of equations: (3x - y = 17 x+4y =10 .Solve the system by graphing the equations (by hand or using technology).
how do you solve it step by step ?
The graph of the system of equations is shown below, and the solution is: (6, 1).
What is the Solution of a System by Graphing?When a system of equations are plotted on a graph, the lines of the two equations in the system will intersect at a point. The coordinates of that point represents the solution of the system of equations.
In the graph shown below in the attachment, the red line represents the line 3x - y = 17, which has a slope of 3 and intercepts the y-axis at -17.
The green line represents the equation, x + 4y = 10, which has a slope of -1/4 and a y-intercept of 2.5.
Both lines intersect at point (6, 1).
Therefore, the solution is (6, 1)
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A figure was rotated 270° clockwise about the origin.
Which is most likely the new figure?
Answer:
Step-by-step explanation:
It will lie in quadrant 3
Step-by-step explanation:
Here, we want to know where the resulting image will lie after the rotation
After the rotation, it is expected that the resulting image will lie in quadrant 3
First 90 to quadrant 1
second 90 to quadrant 2
Third 90 to quadrant 3
Answer:
B is the correct answer
Step-by-step explanation:
i think:)
The formula A=23.1 е⁰⁰¹⁵²⁺ models the pollution of US state, a, in millions ,t years after 2000.
A. What was the population of the state in 2000 ?
b. When will the population of the state reach 28.3 million?
a. In 2000 , the population of the state was million.
Answer:
a) 23,1 milions
b) en 2013 - 2014
Did I solve the absolute value right, when solving I used [tex]\sqrt{(5)^2+(0)^2}[/tex]
which I only got 5, but I feel like that felt a little too easy and wanted to make sure i answer this question right.
Answer:
(-5, 0)
|z| = 5
Step-by-step explanation:
Complex numbers can be represented on an Argand diagram.
The x-axis is called the real axis and the y-axis is called the imaginary axis.
The complex number z = x + iy is represented on the diagram by the point P(x ,y), where x and y are Cartesian coordinates.
Therefore, the complex number z = -5 can be represented on the Argand diagram by the point:
(-5, 0)The absolute value of a complex number is the magnitude of its corresponding vector.
For a complex number z = x + iy, the absolute value is given by:
[tex]|z|=\sqrt{x^2+y^2}[/tex]
Therefore, the absolute value of complex number z = -5 is:
[tex]\implies |z|=\sqrt{(-5)^2+(0)^2}[/tex]
[tex]\implies |z|=\sqrt{25+0}[/tex]
[tex]\implies |z|=\sqrt{25}[/tex]
[tex]\implies |z|=5[/tex]
A farmer needs to pack 2,903 apples into crates to ship to supermarkets. Each crate can hoid
only 30 apples. Choose true or false for each statement.
A. The farmer needs 96 crates to ship out all apples. True or False
B. The farmer needs 97 crates to ship out all the apples. True or False
C. At least one of the crates will not be filled to capacity. True or False
D. To determine the number of crates needed, divide 30 by 2,903. True or False
A farmer needs to pack 2,903 apples into crates to ship to supermarkets. Each crate can hold only 30 apples. Choose true or false for each statement.
A. The farmer needs 96 crates to ship out all apples. False
B. The farmer needs 97 crates to ship out all the apples. True
C. At least one of the crates will not be filled to capacity. True
D. To determine the number of crates needed, divide 30 by 2,903. False
Answer:
A. False, you will need another crate in order for all of the apples to be shipped to the supermarkets.
B. True, this will hold all of the apples with some extra space left in the last crate.
C. True, 2,903 divided by 30 is 96.76666666666667. Meaning that one of them won't have exactly 30 apples.
D. False, you divide 2,903 by 30.
The lengths of footlong sub sandwiches at a local sub shop follow an approximately normal distribution with unknown mean
and standard deviation 0.2 inch. If 20% of these sandwiches are shorter than 11.7 inches, find the mean length u.
Mean
inches
(Round to 2 decimal
Answer:
Step-by-step explanation:
A bag contains 12 red, 3 blue, and 5 yellow marbles, what is the probability of drawing a blue or yellow marble?
Answer:
the chance to pull a blue marble is 3/20
the chance to pull a yellow marble is 5/20
Triangle A B C is an isosceles triangle. Find the missing angles and side measures.
- Angle A =?
- Angle C=?
- Side A C=?
The value of ∠ A = 40°,∠C = 70° and AC = 12
What is value ?
Value in mathematics can refer to a number of closely related ideas. A mathematical value can generally be any specific mathematical object. This is most frequently a number in elementary mathematics, such as a real number like or an integer like 42.
Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value. Consider the number 45, for example. Here, the fourth digit is in the tens column.
If triangle is isosceles it means the two sides and angles are equal
∴ BC = AC
AC = 8 cm
A + B + C = 180
A = 180 - 70 -70
∠A = 40°
∠C = 70°
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solve 6(z-1) + 14 = -40
Answer:
z = -8
Step-by-step explanation:
6(z-1) + 14 = -40
6z - 6 + 14 = -40 Distribute the 6
6z + 8 = -40 Combine Like Terms
6z = -48 Subtract 8 on Both Sides
z = -8 Divide by 6 on Both Sides
download short story a vacation trip roger paré pdf free
To find a book it is necessary to write the name "a vacation trip" in the search engine and add the word PDF to obtain better results.
¿How to download a book from the internet?To download a book from the Internet it is necessary to review various pages since some do not contain the complete book and others may have some type of virus that can damage the device.
In the same way, there are some platforms or applications that require a subscription payment to be able to access the content in an unlimited way.
¡Hope this helped!
Find the values of x and y.
Answer:
x = 30y = 5Step-by-step explanation:
You want to know the values of x and y in the given figure.
Equilateral triangleThe left-side triangle has angles marked as congruent. Hence it is an equilateral triangle, which also has congruent sides.
8y = 40
y = 40/8 = 5
Isosceles triangleThe angle at the middle of the longest line is supplementary to the adjacent angle in the equilateral triangle, hence is 120°.
The marked side length of 40 and the equilateral triangle side length of 40 mean the triangle on the right is an isosceles triangle with an a.pex angle of 120°. Its congruent base angles (x°) must be (180° -120°)/2 = 30°.
x° = 30°
The values of x and y are 30 and 5, respectively.
The number line shows the elevation of the bottom of a harbor and the elevation of a fish swimming closer to the surface A what change in elevation is necessary for the fish to reach bottom B once the fish reaches the bottom what change in elevation will bring it back up to the surface
The elevation needs to be smaller than the decrease of the elevation like this.
What is the elevation on the number line?
The elevation of a location describes its height above or below the sea level, which has an elevation of 0. Elevations below the sea level are represented by negative numbers, and elevations above the sea level are represented by positive numbers.
Whatever number is larger than the number of the elevation of the bottom of the harbor
the elevation needs to be smaller than the decrease of the elevation like this.
e.g.
The temperature elevated by 28 degrees and then decreased by 30 degrees.
Hence, the elevation needs to be smaller than the decrease of the elevation like this.
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You have one type of candy that sells for $2.00/lb and another type of candy that sells for $8.90/lb. You would like to have 55.2 lbs of a candy mixture that sells for $2.50/lb. How much of each candy will you need to obtain the desired mixture?
You will need ___ lbs of the cheaper candy
and ____ lbs of the expensive candy.
You will need 51.2 lbs of the cheaper candy and 4 lbs of the expensive candy.
What is equation of two variables?A equation is supposed to be straight condition in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight conditions in two factors
According to given information:Let x be number of pounds of cheaper candy and y represent that of expensive candy.
Then, x + y = 55.2----(1)
And
2x + 8.9y = 55.2(2.5) = 138
2x + 8.9y = 138---------(2)
On solving above two equation, we get
x = 51.2
y = 4
Thus, cheaper candy are of 51.2 ib and expensive are of 4 ib
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UV ≅ ST, QR ≅ PQ, QT ≅ QU, and PV ≅ RS. Complete the proof that ∠V ≅ ∠S.
The two column proof in completed as follows
Statement Reason
1 line UV ≅ line ST Given
2 line QR ≅ line PQ Given
3 line OT ≅ line OU Given
4 line PV ≅ line RS Given
5 PT = PQ + QT Additive Property of Length
6 RU = QR + QU Additive Property of Length
7 PY = QR + QU Substitution
8 PT = RU Transitive Property of Equality
9 TV = UV + TU Additive Property of Length
10 SU = ST + TU Additive Property of Length
11 TV = ST + TU Substitution
12 SU = TV Transitive Property of Equality
13 ΔSUR ≅ ΔVTP SSS
14 ∠V ≅ ∠S CPCTC
What is congruency of triangle?Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules
Some of the rules include
Side - Side - Side = SSSSide - Angle - Side = SASAngle - Side - Angle = ASA Angle - Angle - Side = AAS Hypotenuse and one leg = HLThe problem requires the prove by Side - Side - Side = SSS rules to ensure that the the triangles are congruent
The SSS have it that the two triangles being compared should have their three sides being are equal then the triangles are congruent
Achieving the SSS rules then by Corresponding Parts of Congruent Triangles are Congruent CPCTC theorem ∠V ≅ ∠S
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What is the sum of the series sum from n equals 1 to infinity of negative 3 times three eighths to the n power question mark
Answer:
[tex]\textsf{A)} \quad -\dfrac{9}{5}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}[/tex]
Given sum:
[tex]\displaystyle \sum^{\infty}_{n=1} -3\left(\dfrac{3}{8}\right)^n[/tex]
Therefore, the first term in the series is:
[tex]a_1=-3\left(\dfrac{3}{8}\right)^1=-\dfrac{9}{8}[/tex]
The common ratio, r, is:
[tex]r=\dfrac{3}{8}[/tex]
Substitute the first term, a, and common ratio, r, into the formula:
[tex]\implies S_{\infty}=\dfrac{-\frac{9}{8}}{1-\frac{3}{8}}[/tex]
[tex]\implies S_{\infty}=\dfrac{-\frac{9}{8}}{\frac{5}{8}}[/tex]
[tex]\implies S_{\infty}=-\dfrac{9}{5}[/tex]
Therefore, the sum of the given series is:
[tex]-\dfrac{9}{5}[/tex]Write and find the general solution of the differential equation that models the verbal statement. Evaluate the solution at the specified value of the independent variable.
The rate of change of P is proportional to P. When t = 0, P = 8,000 and when t = 1, P = 5,200. What is the value of P when t = 6?
Be sure to:
1) Write the differential equation (use k for the constant of proportionality)
2)Solve the differential equation
3) Evaluate the solution at the specified value of the independent variable. (Round your answer to three decimal places.)
1) The differential equation is: dP/dt=kP
2) P(t)=8000[tex]e^{-0.28t}[/tex]
3) The solution at the specified value of the independent variable is 1490.991
What is meant by differential equation?In practical contexts, derivatives frequently represent the rates of change of physical quantities, and the differential equation establishes a relationship between the two. As a result of the frequent occurrence of these correlations, differential equations are widely employed in a wide range of disciplines, including engineering, physics, economics, and biology.
Only the simplest differential equations can be resolved explicitly, but many aspects of a given differential equation's solutions can be determined without doing an exact calculation.
1) The differential equation is: dP/dt=kP
Here k is the proportionality constant
2) Now, we have to solve the differential equation on dP/dt=kP
∫dP/P=∫kdt+lnP₀
lnP₀=kt+lnP₀
lnP/P₀=kt
P=P₀[tex]e^{kt}[/tex]
Here P₀ is the constant of integration.
P(t)=P₀[tex]e^{kt}[/tex]
And they have given that,
P(0)=8000=P₀e⁰
P₀=8000
P(1)=5200
5200=8000[tex]e^{k}[/tex]
k=-2log(2)+log(3)≈ -0.28
Therefore, the required function is:
P(t)=8000[tex]e^{-0.28t}[/tex]
3) Now, we have to put t=6 in the above equation:
P(6)=8000[tex]e^{-0.28*6}[/tex]
P(6)=1490.991
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