The 7 types of numbers are:-
1) Natural Numbers.
2) Whole Numbers.
3) Integers.
4) Rational Numbers.
5) Irrational Numbers.
6) Real numbers.
7) Complex numbers.
What is a number?A mathematical value used to indicate the amount is called a number. A number is a mathematical notion that is used for counting, measuring, and labeling. Thus, mathematics is built on numbers.
Explain the different types of numbers.1) Natural Numbers: Positive integers from 1 to infinity are known as natural numbers, often referred to as counting numbers. The collection of natural numbers is referred to as "N," and its members are N = 1, 2, 3, 4, 5,.
2) Whole Numbers: Whole numbers do not include any fractional or decimal portions and are known as non-negative integers. It is represented by the symbol "W," and the set of whole numbers contains W = 0–1, 2–3, 4–5,..........
3) Integers: An integer is any whole number, but it also contains a collection of negative natural numbers. The set of numbers represented by "Z" is Z = -3, -2, -1, 0, 1, 2, 3
4) Real Numbers: Real numbers are all positive and negative integers, fractional, and decimal values that do not contain imaginary numbers. The letter "R" stands for it.
Any number that can be expressed as a ratio of one number to another is referred to be a rational number. This implies that every integer that may be expressed as p/q. The rational number is represented by the letter "Q."
5) Irrational Numbers: The sign "P" stands for an irrational number, which is a number that cannot be described as a ratio of one over another.
6) Complex Numbers (C): A complex number is one that can be expressed as a+bi, where a and b are real numbers and I is an imaginary number.
7) Imaginary Numbers: The complex numbers that may be expressed as the product of a real number and a fictitious unit are known as imaginary numbers.
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How do you tell if a graph is exponential or logarithmic?.
exponential function in the form y=ab^x by identifying the common ratio (b) and y-intercept (a) in the graph and if the log term involved in the given function then it is a logarithmic
How do you identify an exponential function from a graph?
Given a graph of a line, we can write a linear function in the form y=mx+b by identifying the slope (m) and y-intercept (b) in the graph. GIven a graph of an exponential curve, we can write an exponential function in the form y=ab^x by identifying the common ratio (b) and y-intercept (a) in the graph
and if the log term involved in the given function then it is a logarithmic
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Is it possible to construct a triangle with lengths of its sides 5cm 3cm and 8cm give reason for your?.
The three sides of a triangle that is 5cm, 3cm, and 8cm not of the triangle.
Triangle:
A triangle is a 3-sided polygon sometimes (but not very commonly) called the trigon. Every triangle has three sides and three angles, some of which may be the same
Here we have to find the given three sides of a triangle possible.
The three sides are 5cm, 3cm, and 8cm.
The property of a triangle is that the sum of two sides of a triangle is greater than the third side of a triangle.
The three sides are:
a = 5cm
b = 3cm
c = 8cm
a + b > c
5 + 3> 8
8> 8 which is incorrect
Therefore the three sides in not sides of a triangle.
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Using the same graph that was used for the previous questions, create your own combined transformation that would move Triangle 1 to Triangle 2. This time, however, you must use at least one reflection in your combined transformation.
Step-by-step explanation:
reflect it up over the horizontal line y = 7.5
it now covers completely the C triangle.
and then move (translate) it 2 units to the right.
the radius of the circle traced out by the second hand on a clock is 6.00 cm. in a time t the tip of the second hand moves through an arc length of 24.0 cm. determine the value of t in seconds.
The total time would be 38,3 seconds moves of arc length of 24.0 cm
What is circumference ?The measurement of a circle's boundaries is also known as the circumference or the perimeter of the circle. whereas the circumference of a circle shows the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units such as cm or m are used to measure it.
First we convert cm to meters.
6.00cm= 0.006m
24.0cm= 0.024m
Circumference
2πr = 2(π)(0.006)= 0.0376
The second hand taking 60 sec for one rev, so:
60*0.024/ 0.0376 = 38.3 seconds.
Hence we get the time as 38.3 seconds
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please help me geometry
Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 tri so x=[tex]5\sqrt{3}[/tex]
Answer:
5√3
Step-by-step explanation:
Given a=5 and ∠β=60°,
b = 8.66025 = 5√3
b = √c^2 - a^2
= √10^2 - 5^2
= √75
= 8.66025 = 5√3
Thanks.
An electrician plans to install solar panels on a rectangular section of roof with an area of 180 m 2 180m 2 180, start text, m, end text, squared. this width of this section of roof is 7 1 5 m 7 5 1 ​ m7, start fraction, 1, divided by, 5, end fraction, start text, m, end text across. what is the length of this section of roof?
The length of the rectangular solar panel the electrician is installing is 25m
How to determine the length of the panelThe length of the panel is calculated from the Area of the panel which is given by the formula
Ares of rectangle = length * width
given units
area = 180 squared meters
width of the section = 7 1/5
From area = length * width
length = are / width
length = 180 / 7 1/5
length = 25 m
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Answer:
25m
Step-by-step explanation:
25m
suppose 1000 integer elements are inserted in order, from largest to smallest, into a sorted linked list and a binary search tree. compare the efficiency of searching for an element in the two structures
The binary search tree is better than the sorted link with respect to efficiency and intricacy.
Comparing a sorted linked list to a binary search tree for up to 1000 integer members, the intricacy of the algorithm in the sorted linked list grows over time. It differs depending on where the seeking element is located in sorted links. It requires little time if the searching element is present at the beginning of the linked list. However, in a linked list, the worst-case scenario occurs if the seeking element is present at 1000. Searching for the element in that position takes a long time.
The 1000 elements in a binary search split into two main wings. This type of search varies in difficulty depending on tree height. In the worst situation, if there are about equal numbers of elements on the left and right sides of the wing, searching for an element takes about half as long as searching for it in sorted links. Binary is more effective than Sorted as it uses a binary search algorithm instead of the linear search technique used by linked lists.
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What is SSS SAS ASA AAS?.
Answer:
SSS: Side-Side-Side
SAS: Side-Angle-Side
ASA: Angle-Side-Angle
AAS: Angle-Angle-Side
Step-by-step explanation:
They are the conditions used to determine whether two triangles are congruent or not.
Why are radicals simplified before adding and subtracting? explain your reasoning by adding 8 and 32.
The reason they have to be simplified is that you cannot add radical unless the number under the radical is the same on all of them.
For example:
If you add √8 + √32 without simplifying, the best you could do is an estimate. But if you're required to put your answer in standard radical form this would be an issue.
So, you would have to simplify to combine:
√4√2 + √16√2
2√2 + 4√2
6√2
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the initial size of a bacteria culture is 1000. after one hour the bacteria count is 8000. after how many hours will the bacteria population reach 15000? assume the population grows exponentially. (you may leave e, ln, or log in your answer.)
The time required by the bacteria to reach 15000 is :
log(2)/log(1.5) = t
Given:
P(t) = P0·bt
P(t) = bacteria population at time t
P0 = starting bacteria population = 10,000
b = growth rate
t = days
we are asked to find out after how many hours will the bacteria population reach 15000 = ?
P(t) = P0·bt
At t = 1 day, P(t=1) = 15,000:
15,000 = 10,000·b1
15,000/10,000 = b
1.5 = b
P(t) = 10,000·1.5t
Population doubles when P(t) = 20,000:
20,000 = 10,000·1.5t
2 = 1.5t
log(2) = log(1.5t)
log(2) = t·log(1.5) [Log property: log(ab) = b·log(a)]
log(2)/log(1.5) = t
Hence we get the required answer.
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carlo travels for 3 hours on the highway. his average speed is 55 mi/h. how many miles does he travel?
Answer:
165 miles
Step-by-step explanation:
Distance = rate x time
Distance = 55(3)
Distance = 165 miles
Answer:
distance = 165 miles
Step-by-step explanation:
We know that d=rt
Distance = rate * time
distance = 55 miles / hour * 3 hours
distance = 165 miles
11) The solution to 3(x - 8) + 4x = 8x + 4 is
a) 12 b) 28 c) -12 d) -28
Answer:
d) -28
Step-by-step explanation:
Distribute the "3" on the left side of the equation, then isolate the variable on one side:
3(x - 8) + 4x = 8x + 4
3x - 24 + 4x = 8x + 4
7x - 8x = 4 + 24
-x = 28
x = -28
rhubarb refer to exercise 76. would you be surprised if 3 or more of the plants in the bundle die before producing any rhubarb? calculate an appropriate probability to support your answer.
The probability is less than 5% is [tex]P(X\geq 3) = 1.16%[/tex]%.
Three or more of the plants in the bundle die before producing any rhubarb.
Given, n = 10 and p = 0.05
The binomial Probability:
[tex]P(x=k)=\left(\begin{array}{ccc}n\\k\\\end{array}\right) p^{k}. (1-p)^{n-k}[/tex]
Putting n = 10 and p = 0.05 in the last equation.
[tex]P(x=k)=\left(\begin{array}{ccc}10\\k\\\end{array}\right) 0.05^{k}. (1-0.05)^{10-k}[/tex]
For k = 0
[tex]P(x=0)=\left(\begin{array}{ccc}10\\0\\\end{array}\right) ((0.05)^{0}).(0.95)^{10-0}=0.5987[/tex]
For k = 1
[tex]P(x=1)=\left(\begin{array}{ccc}10\\1\\\end{array}\right) (0.05)^{1}. (0.95)^{10-1}=0.315[/tex]
For k = 2
[tex]P(x=2)=\left(\begin{array}{ccc}10\\2\\\end{array}\right) (0.05)^{2}. (0.95)^{10-2}=0.0746[/tex]
[tex]P(X\geq 3)=1-P(X=0)-P(X=1)-P(X=2)\\P(X\geq 3)=1-0.5987-0.3151-0.0746\\P(X\geq 3)=0.0116\\[/tex]
[tex]P(X\geq 3)=1.16%[/tex]%
The probability is less than 5% is [tex]P(X\geq 3) = 1.16%[/tex]%.
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Rob i aving to buy a new MP3 player. For every $14 he earn babyitting, he ave $5. On Saturday, Rob earned $70 babyitting. How much money did he ave?
Rob earned $70 then he would have $25.
What are ratio and proportion?
A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other. For example, if there is one boy and three girls, the ratio could be written as 1: 3. (for every one boy there are 3 girls) One-quarter are boys, and three-quarters are girls.
If for every $14 he earns $5.
Then on Saturday, he earned $70 so the total amount of money he would have
= 5 * 70/14
= 5 * 5
= $25
Hence, if Rob earned $70 then he would have $25.
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a(n) variable is characterized by infinitely uncountable values and can take any value within interval.
The correct answer is a countable variable is characterized by infinitely uncountable values and can take any value within interval.
A random variable is with an unknown value or a function that gives values to each of the results of an experiment.
Random variables are frequently identified by letters and fall into one of two categories: continuous variables, which can take on any value within a continuous range, or discrete variables, which have specified values.
Continuous random variables have an endless number of possible values and can represent any value that falls within a given range or interval.
An experiment that measures the amount of rain that falls in a city over the course of a year or the average height of a random group of 25 people are two examples of continuous random variables.
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How old was Saul 11 years ago? (Represent answer in terms of x)
x is his present age in years
his age 11 years ago is x-11
USE PYTHON
1. NOTE: in mathematics, the square root of a negative number is not real; in Python therefore, passing such a value to the square root function returns a value known as NaN (not-a-number).
Write the code that reads a value, the area of some square, into a variable named areaOfSquare and prints out the length of the side of that square.
HOWEVER: if any value read in is not valid input, just print the message "INVALID".
2.Write some code that repeatedly reads a value into the variable n until a number between 1 and 10 (inclusive) has been entered.
3. Write some code that repeatedly reads a value from standard input into the variable response until at last a Y or y or N or n has been entered.
PLEASE HELP!!
Python code for given situations:
1)
areaOfSquare = int(input('Area of the square: '))
if areaOfSquare >= 0:
sideOfSquare = sqrt(areaOfSquare)
print(sideOfSquare)
else:
print("INVALID")
2)
while True:
n=int(input("Enter a number: "))
if(n>=1 and n<=10):
break;
3)
response = str()
while True:
response=input("Enter a number: ")
if (response=='y' or response =='Y' or response=='N' or response=='n'):
break;
In this question we need to write Python code for given situations.
1)
areaOfSquare = int(input('Area of the square: '))
if areaOfSquare >= 0:
sideOfSquare = sqrt(areaOfSquare)
print(sideOfSquare)
else:
print("INVALID")
2)
while True:
n=int(input("Enter a number: "))
if(n>=1 and n<=10):
break;
3)
response = str()
while True:
response=input("Enter a number: ")
if (response=='y' or response =='Y' or response=='N' or response=='n'):
break;
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How do I solve explain steps
Answer:
There's no real solutions to this expression.
Step-by-step explanation:
5x - (3 - 2x) = - (-x - 7) + 6x
First we need to get rid of the parenthesis and to do that we multiply inside the parenthesis with -15x - 3 + 2x = x + 6 + 6x (remember, negative × negative = positive)
Now add/subtract like terms:5x + 2x - 3 = 7x - 3
x + 6x + 7 = 7x + 7
Rewrite the equation:7x - 3 = 7x + 7, 7x will eliminate each other so we will be left with,
-3 = 7 which cannot be true so we say there's no real solutions to this expression.
Nathaniel needs to order some new supplies for the restaurant where he works. The restaurant needs at least 381 forks. There are currently 237 forks. If each set on sale contains 8 forks, use the drop-down menu below to write an inequality representing
s
s, the number of sets of forks Nathaniel should buy.
The inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 11.75
What is inequality ?It is the relation between two non equal comparison.
it can be denoted by ≤, ≥, < or > .
From the question, the restaurant needs at least 381 forks, i.e., if n represents the number of forks the restaurant needs, then
n ≥ 381
Also from the question, there are currently 287 forks. If y represents the number of forks the restaurant needs to buy, then
y ≥ 381 - 287
y ≥ 94
Also, each set on sale contains 8 forks. if s represents the number of sets of forks Nathan should buy, then
s ≥ 94/8
s ≥ 11.75
Hence, the inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 11.75
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How much more than 30 is 54?.
54 is more than 30 by 14
Subtraction is an arithmetic operation that represents the operation of removing a number from another number. Subtraction is represented by the minus sign,
Other arithemetic operations are addition, multiplication and division.
The mathemetical properties that it follows is Identity Property. ...
Commutative Property and Associative Property.
Let the number by how much 30 is less than 54 be x,
then
30 + x = 54
x = 54 - 30
x = 14
Therefore, 30 is less than 54 by 14
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A banker invests $50,000 at a 5% interest rate to make money for Wells Fargo. How long will it
take the bank's money to double?
It will take 20 years for the bank's money to double
What is simple interest ?
The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest. Simple interest does not compound, therefore the creditor only has to pay interest on the capital sum and the borrower never has to pay interest on the interest that has already accrued.
Simple Interest formula
I = (P*T*R)/100
The given values are
I = 50000
P = 50000
R = 5%
The formula for T will become
T = (I*100)/(P*R)
= (50000 *100) / (50000 * 5)
= 5000000 / 250000
T = 20 Years
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The table how the participation in a chool’ debate club during the lat four year. Year 1 2 3 4 Student 14 19 25 33 Between which to year did the club ee the greatet growth? By what percent did it grow?
The greatest growth was between years 1 and 2. The growth between those years was about 36%.
What is the greatest growth?
The process of developing; progressive expansion; the act or process of growing. size or developmental stage: It hasn't yet grown to its full potential. finished with development. growth of ritual forms: transition from a simpler to a more complex stage.
Here, we have
Given: Year 1 2 3 4, Student 14 19 25 33.
We have to calculate which year the club has the greatest growth.
19 - 14 = 5 / 14 x 100
= 35.714 > 36%
The other values by calculating the percent increase were
(from 2-3) = 31.57%
(from 3-4) = 32%
Hence, the greatest growth was between years 1 and 2. The growth between those years was about 36%.
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At the end of the first pay period of the year, earned $4.900 of salary Withholdings from Sofia's salary include FICA Social buhos Security taxes at the rate of 6.2%. FICA Medicare taxes at the rate of 145% $518 of federal income taxes. $178 of medical insurance deductions, and $28 of life insurance deductions Compute Sofia's net pay for this first pay period. (Round your intermediate and final answers to 2 decimal places) Drons pay FICA SO Security FICA Medicare Federalne taxes Medence deduction Leisurance deduction Soldeductions Netpay
Sofia's net pay for this first pay period is $3,801.15.
In the given question, we have to compute Sofia's net pay for this first pay period.
As we know that;
A person's net income, which differs from their gross income since it takes payroll deductions into account, is how much money they really take home from each paycheck. A person's net salary is the amount they earn after all necessary deductions, such taxes, have been made from their gross remuneration. After all deductions have been made, this is the total amount that is put into the employee's bank account. The amount an employee receives before any payroll deductions, including those for taxes, benefits, and other costs, is known as their gross pay.
So calculation of net pay is given below;
According to the calculation, Sofia's net pay for this first pay period is $3,801.15.
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How do you find graph of equation?.
Step-by-step explanation:
You must know the properties of equations.
If the graph is a line, then
the form of the equation will be either
[tex]ax + by = c[/tex]
or
[tex]y = mx + b[/tex]
If the graph is shaped like a U( parabola), then our equation will be
[tex]ax {}^{2} + bx + c[/tex]
What is a replacement for 3/4 cup?.
Using Cooking measurements,
The value replacement for 3/4 cup is = 36 teaspoons or 12 tablespoons.
Cooking Measurements :
Calculate and determine the specific amounts of ingredients required using standard measuring equipment.
A measuring spoon, measuring cup, or measuring utensil.
Measuring Spoons come in a variety of sizes and materials. The smallest set of spoons measure smudges, pinches and dashes. Other sets include tsp (tsp) and tsp (tbsp)
we have given 3/4 cup and we want to replace it
Using the cooking measurement chart ,
1 cup = 16 tablespoons or 48 teaspoons
1/2 cup = 8 tablespoons or 24 teaspoons
we have 3/4 cup then
3/4 cup = 1 cup - 1/4 cup
1/4 cup = 4 tablespoons or 12 teaspoons
then , 3/4 cup = 16 tablespoons - 4 tablespoons
= 12 tablespoons or
3/4 cup = 48 teaspoons - 12 teaspoons
= 36 teaspoons
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n a survey of patients in a local hospital, 62.42% of the respondents indicated that the health care providers needed to spend more time with each patient. who makes up the population?
The survey is of the population of all the patients present in that particular hospital.
What is a survey?A survey is a set of questions used in human subject research with the goal of gathering specific information from a certain population.
Surveys can be carried out via the phone, by mail, online, at street corners, and even in shopping centers.
Surveys are used to collect data or learn more in areas like demography and social research.
Survey research is frequently used to evaluate ideas, beliefs, and emotions.
Surveys might have narrow, focused objectives or they can have broad, more general objectives.
So, in the given situation the survey states that 62.42% of the respondents indicated that the health care providers needed to spend more time with each patient.
So, it is clear that the remaining respondents have the opposite view on this.
So, the respondents will be all the patients present in the local hospital.
Therefore, the survey is of the population of all the patients present in that particular hospital.
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A client asked Leah to design a rectangular garden with a length that is two feet less than three times the width: The client also asked that the garden have an area of 33 square feet: What is the length?
The length of the rectangular garden is 9 feet.
Let x = length of the rectangular garden in feet
y = width of the rectangular garden in feet
If a client asked Leah to design a rectangular garden with a length that is two feet less than three times the width, then
x = 3y - 2 (equation 1)
If the rectangular garden is to have an area of 33 square feet, then the product of the length and width should be equal to 33 square feet.
A = l x w
33 = xy
Substitute the expression for x and solve for y.
33 = xy
33 = (3y - 2)y
33 = 3y² - 2y
3y² - 2y - 33 = 0
(3y - 11)(y + 3) = 0
3y - 11 = 0 ; y + 3 = 0
3y = 11 ; y = -3
y = 11/3
Substitute the value of y and solve for x.
x = 3y - 2 (equation 1)
x = 3(11/3) - 2
x = 9
length of the rectangular garden = 9 feet
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The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a height of 6 units, and the right cylinder has a height of 6 units. Which conclusion can be made from the given information?.
Answer:
The volumes are equal.
Step-by-step explanation:
Areas are numbers. Numbers are not congruent. They may be equal.
Volume of cylinder = (area of base) × height
Volume of prism = (cross-sectional area) × height
Since the cross-sectional area are equal, and the heights are equal, the volumes are equal.
24 cartons of ice cream fit into each packing box. If there are 13 packing boxes, how many cartons of ice cream are there in total?.
The total number of cartons of ice cream that are there in total are 312.
The frozen peas that were packed into each box are 24.
What is meant by ratio and proportion?A ratio is an ordered pair of numbers a and b, denoted by a / b, where b does not equal zero. A proportion is an equation that equalizes two ratios.
The ratio formula for any two quantities is a: b a/b. The percentage formula, on the other hand, is written as a:b::c:dab=cda:b::c:dab=cd.
Given,
The cartons of ice cream that fit into each packing box=24
Also given that,
No. of packing boxes=13
Therefore, 24×13=312
The total number of cartons of ice cream that are there in total are 312.
And given that 192 packs of frozen peas were packed into 8 boxes.
So, The number of packs that each box contains are,
192/8=24
The frozen peas that were packed into each box are 24.
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The complete question is:
"24 cartons of ice cream fit into each packing box.
If there are 13 packing boxes, how many cartons of ice cream are there in total?
192 packs of frozen peas were packed into 8 boxes.
How many were packed into each box?"
There was a sample of 800 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 5.3% each year. Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams. Write an exponential function showing the relationship between y and t.After each year, the remaining mass is (1-0.053) = 0.947 times the mass at the start of the year. The exponential decay law is
y(t) = 800 (0.947)t milligrams
The exponential decay function which showing the relationship between y and t is y(t) = 800 (0.947)^t milligrams.
What is the formula for an exponential decay function?The formula for exponential decay is f(x) = ab^x, where b denotes the decay factor. In the exponential decay function, the decay rate is given as a decimal. The decay rate is expressed as a percentage. We convert it to a decimal by simply reducing the percent and dividing it by 100.
Thus, in this case:
the initial amount of sample = 800 mg
rate of decay = 5.3%
Hence, f(x) = ab^x
y(t) = 800 (1 - 5.3/100)^t
y(t) = 800 (0.947)^t
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