Answer: To solve this problem, we can use the fact that a cubic centimeter of osmium has a mass of about 23 grams and the information provided about the chemist's amount of osmium.
First, we can divide the total mass of osmium by the mass of a cubic centimeter of osmium to find out how many cubic centimeters of osmium the chemist has. The equation would look like this:
2,530 grams / 23 grams/cubic centimeter = 110 cubic centimeters
So, the chemist has approximately 110 cubic centimeters of osmium.
It's worth mentioning that an exact value would require additional information as 23 grams per cc is an approximate value and also any impurities or loss of material in the sample also effect the total mass.
Step-by-step explanation:
Jesse wanted a stamp collection his grandfather gave him 48 stamps to start it then his parents gave him 23 stamps and his aunt gave him 17 stamps how many stamps does Jesse have in his collection
Answer:88
Step-by-step explanation:
A line pae through the origin and through point A(−2, b í 14) and B(14 í b, 72). What i the greatet poible value of b?
The greatest poible value of b is (72-14)/(14-(-2))×(x+2)+14.
What is possible value?Possible value is the potential for something to have a particular outcome, result, or consequence. It is the amount of beneficial or desirable result that can be achieved, given the available resources. Possible value is often determined by assessing various factors such as cost, risk, and time. It is an important concept in economics, finance, and business, as it helps to identify the most beneficial course of action.
The greatest possible value of b is found by solving the equation of the line through A and B, which is y = (72-14)/(14-(-2))×(x+2)+14.
Setting the y-value to 0 and solving for x gives x = -14, which means b = 14. Therefore, the greatest possible value of b is 14.
To know more about possible value click-
https://brainly.com/question/29711276
#SPJ4
I need this ASAP!
( Fractions and whole numbers)
Answer:
C. [tex]4\frac{2}{3}[/tex]
Step-by-step explanation:
One way of approaching this problem is to multiply the numbers the numerators together and then divide by the denominator to receive the quotient and the remainder.
Firstly 6 can be written as a fraction like so: [tex]\frac{6}{1}[/tex] because 6 divided by 1 is equal to 6.
To multiply two fractions together, we simply multiply the numerators and multiply the denominators:
[tex]\frac{7}{9}* \frac{6}{1} =\frac{7*6}{9*1}[/tex]
Which gives us the improper fraction of: [tex]\frac{42}{9}[/tex]
Next, we find the highest multiple of 9 which is smaller than 42. If we write out the multiples of 9 we will find that it is 36:
1x9=9, 2x9=18, 3x9=27, 4x9=36, 5x9=45
Since we know that at least 4 whole 9s go into 42 we can conclude that the coefficient of the fraction will be 4.
To find the fraction itself, we must find the remainder which we can do by subtracting 36 from 42: 42-36 = 6
The remainder is the numerator of the fraction as there are 6 ninths left over after we have divided 42 by 9.
Therefore our answer is [tex]4\frac{6}{9}[/tex]
If we divide 6 and 9 by 3 we will find that 6/9 is equivalent to 2/3 therefore our final answer is [tex]4\frac{2}{3}[/tex].
Option C is correct.
a smallercircle passes through the center of, and is tanget to a larger cirlc the area of the smaller circle is 9 square units. What is teh area of the larger circle in square units
36 square units make up the larger circle's surface area.
We can use the fact that the smaller circle is tangent to the larger circle and passes through its center to find the area of the larger circle. Since the radius of the smaller circle is tangent to the larger circle, the radius of the larger circle is double the radius of the smaller circle.
Let's call the radius of the smaller circle "r" and the radius of the larger circle "R". We know that R = 2r.
We know that the area of a circle is given by the formula A = πr^2.
We know that the area of the smaller circle is 9 square units, we can use this formula to find the radius:
A = πr^2 => r^2 = 9/π => r = sqrt(9/π)
Now we can use the formula of the area of a circle with R-value to get the area of the larger circle:
A = πR^2 => A = π(2r)^2 => A = 4πr^2 => A = 4π(9/π) => A = 36
So the area of the larger circle is 36 square units
To learn more about the area of the circle, refer to the link:brainly.com/question/28642423
#SPJ4
Make q the subject of the formula 2(q + p) = 1 + 5q Give your answer in the form ap-b where a, b and c are all positive integers.
[tex]2(q+p)=1+5q\implies 2q+2p=1+5q\implies 2q+2p-5q=1 \\\\\\ 2q-5q=1-2p\implies q(2-5)=1-2p\implies -3q=-2p+1 \\\\\\ q=\cfrac{-2p + 1}{-3}\implies q=\cfrac{2}{3}p-\cfrac{1}{3}[/tex]
Answer:
Step-by-step explanation: 2(q+p)=1+5q
2q+2p=1+5q
2q-5q=1-2p
-3q=1-2p/:(-3)
q=-1/3+2/3 p
John has $4,069 in an account. The interest rate is 12% compounded annually. To the nearest cent, how much interest will he earn in 1 year? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years. $
After solving the equation: the nearest cent, the interest earned is $467.
What is interest?Interest is a mathematical concept used to describe the cost or gain associated with the use of money over a period of time. It is usually expressed as a percentage rate of the principal (the amount borrowed or invested). Interest can be earned or paid, depending on the situation.
Using the formula B=p(1+r)t, John's final balance after 1 year is B = 4069(1+0.12)1 = $4,536.28.
The interest earned in 1 year is the difference between the final balance and the starting amount, which is $4,536.28 - $4,069 = $467.28. To the nearest cent, the interest earned is $467.
To learn more about interest
https://brainly.com/question/25720319
#SPJ1
What is a function of the form f/x LOGB X?
The function form of the given function would be [tex]f(x)=log_b(x)[/tex].
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The given function is f(x) = logbx.
So the function form would be the function of x is equal to the logarithmic of x having base b.
so this can be written as
[tex]f(x)=log_b(x)[/tex]
Hence, the function form of the given function would be [tex]f(x)=log_b(x)[/tex].
To learn more about the functions, visit:
https://brainly.com/question/17043948
#SPJ4
The function form of the given function would be [tex]f(x)=log_b(x)[/tex].
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The given function is f(x) = logbx.
So the function form would be the function of x is equal to the logarithmic of x having base b.
so this can be written as
[tex]f(x)=log_b(x)[/tex]
Hence, the function form of the given function would be [tex]f(x)=log_b(x)[/tex].
To learn more about the functions, visit:
brainly.com/question/17043948
#SPJ4
the triple of a number added to its half part is equal to the difference between four times the number and 12. What number is it
Answer:
24
Step-by-step explanation:
You want to know the number such that the triple of the number added to its half part is equal to the difference between four times the number and 12.
TranslationThe given relation can be expressed in math symbols as ...
3n +n/2 = 4n -12
Adding 12 -n/2, we get ...
12 = n/2
24 = n . . . . . multiply by 2
The number is 24.
6 miles East 4 miles Southeast 4 miles South 7 miles Southwest 4 miles East This person has walked a total of Find the total displacement vector for this walk:
On solving the provided question, we can say that vectors are - 4 miles E: <4, 0>; 4 miles SE: <2√2, -2√2>; 7 miles S: <0, -7>; 6 miles SW: <-3√2, -3√2>; 2 miles E: <2, 0>
what is vector?In mathematics, a vector is a quantity with magnitude and direction but no location. Acceleration and velocity are two examples of such numbers. A thing with both magnitude and direction is called a vector. A vector can be conceptualised geometrically as a directed line segment, the length of which corresponds to the magnitude of the vector, and the direction of which is denoted by an arrow. Size and direction are two independent characteristics of a quantity or phenomena known as a vector. The phrase also describes how these numbers are represented mathematically or geometrically. In nature, vectors may be found in electromagnetic fields, weight, momentum, force, and velocity.
4 + 4 + 7 + 6 + 2 = 23 miles.
vectors are -
4 miles E: <4, 0>
4 miles SE: <2√2, -2√2>
7 miles S: <0, -7>
6 miles SW: <-3√2, -3√2>
2 miles E: <2, 0>
To know more about vector visit:
https://brainly.com/question/30202103
#SPJ4
You lose 0.3 point for stepping out of bounds during a gymnastics floor routine. Your final score is 9.124. Write and solve an equation to find your score x without the penalty.
The equation is x + 0.3 = 9.124 and the value of x is 8.824.
The following is a linear equation in one variable. It can be expressed in the form of ax+b=0. Here a and b are integers and x is a variable that has only one solution. In these type of equations only one variable is present.
We can write an equation to find the score without the penalty by using the information provided. Let x be the score without the penalty. We know that the final score (with the penalty) is 9.124 and that the penalty is 0.3 points. Therefore, we can set up the equation:
x + 0.3 = 9.124
To find the score without the penalty, we need to subtract 0.3 from both sides of the equation:
x = 9.124 - 0.3
x = 8.824
So, the score without the penalty is 8.824
For more information about linear equations visit: brainly.com/question/11897796
#SPJ4
(Constant of Proportionality, Graphing Proportional Relationships, Real-World Proportional Problems HC) An ice cream shop serves chocolate milkshakes that are made with ice cream and milk. There is a proportional relationship between the number of scoops of ice cream and the amount of milk needed to make them. For every 1 scoop of ice cream, cup of milk is needed, and for every 5 scoops of ice cream, cups of milk are needed. Part A: Find the constant of proportionality. Show every step of your work. (4 points) Part B: Write an equation that represents the relationship. Show every step of your work. (2 points) Part C: Describe how you would graph the relationship. Use complete sentences. (4 points) Part D: How many cups of milk are needed for 18 scoops of ice cream? (2 points)
The constant of proportionality is 2
The equation of the relationship is s = 2mThe number of cups for 18 scoops is 9 cupsHow to determine the constant of proportionalityFrom the question, we have the following parameters that can be used in our computation:
1 scoop of ice cream = 1/2 cup of milk
5 scoops of ice cream = 2.5 cups of milk
The constant of proportionality (k) is then calculated as
k = Scoop of ice cream/Cup of milk
So, we have
k = 5/2.5
Evaluate
k = 2
The equation of the relationshipIn (a), we have:
k = 2
A proportional relationship is represented as
s = km
Where
s = scoop of ice cream
m = cup of milk
So, we have
s = 2m
How to graph the relationshipIn (b), we have
s = 2m
To graph the relationship, we start by generating a table of values and then plot the points
Number of cups for 18 scoopsRecall that
s = 2m
So, we have
18 = 2m
Divide by 2
m = 9
Hence, the number of cups is 9
Read more about linear relationship at
https://brainly.com/question/7040405
#SPJ1
3x+5y= 8
2х - 5y = 22
Solve system of equations
Answer:
{x,y}={6,-2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 3x + 5y = 8
[2] 2x - 5y = 22
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 2x = 5y + 22
[2] x = 5y/2 + 11
// Plug this in for variable x in equation [1]
[1] 3•(5y/2+11) + 5y = 8
[1] 25y/2 = -25
[1] 25y = -50
// Solve equation [1] for the variable y
[1] 25y = - 50
[1] y = - 2
// By now we know this much :
x = 5y/2+11
y = -2
// Use the y value to solve for x
x = (5/2)(-2)+11 = 6
Graphic Representation of the Equations :
The answer should be: {x,y}={6,-2}
i dont understand it
Answer:
x=-3
y=10
Step-by-step explanation:
What type of graph is absolute value?
On [0,∞] the function grows, whereas on [-∞, 0], it shrinks. f has absolute minimum value is 0, and it also has the same relative minimum value (0,0).
What does an absolute value graph look like?On the graph, you are able to see a "open circle" at it when x< 0. (0, 0).
This is due to the fact that, as we've previously demonstrated, the points at y = x approaching (0, 0) as the x-values approach 0.Since x needs strictly be less than zero on only this stretch, the open circle being drawn in its place.When x ≥ 0, a point in (0, 0) is plugged in, thus "plugging" the hole shown by either open circle.Therefore, we get:On [0,∞] the function grows, whereas on [-∞, 0], it shrinks. Function f absolute minimum value is 0, and it also has the same relative minimum value (0,0).F has absolute minimum value is 0, and it also has the same relative minimum value (0, 0). F's highest relative value is zero.There consequently no absolute maximum value of f due to the graph's infinitely high y values.
To know more about the absolute value graph, here
brainly.com/question/14758059
#SPJ4
Which of the following is the quotient of the rational expressions shown
below?
X/3x-1 divide x-2/2x
Answer: To divide two rational expressions, you need to first find the least common denominator (LCD) of the two expressions. The LCD is the least common multiple of the two denominators.
In this case, the rational expressions are x/(3x-1) and (x-2)/(2x). The LCD of these two expressions is (3x-1)(2x), which can be factored as 6x(x-1).
To divide the two rational expressions, you need to express each expression as a fraction with the LCD as the denominator.
The first expression, x/(3x-1), can be rewritten as (x * (2x))/(3x-1 * (2x)) = (2x^2)/(6x^2-2x).
The second expression, (x-2)/(2x), can be rewritten as ((x-2) * (3x-1))/(2x * (3x-1)) = (3x^2-3x+2)/(6x^2-2x).
To divide these two expressions, you can divide the numerators and the denominators separately:
(2x^2)/(6x^2-2x) ÷ (3x^2-3x+2)/(6x^2-2x)
= (2x^2) ÷ (3x^2-3x+2)
= (2/3)x^2 ÷ (x^2-x+2/3)
Therefore, the quotient of the rational expressions x/(3x-1) and (x-2)/(2x) is (2/3)
Step-by-step explanation:
Please help!! Find the area of the circle use 3.14 for pi
Answer:
when pi = 3.14, A = 63.535
when pi = pi, A = 63.61725
Step-by-step explanation:
Area of a circle = pi × radius (4.5) squared (^2)
What are the 5 operations of functions?
The 5 operations of functions are
1. Input
2. Processing
3. Output
4. Storage
5. Maintenance
Input: When a function is used, it takes in an input value. This input value is used to compute the output. For example, if a function is used to calculate the area of a circle, the input would be the radius of the circle.
Processing: Once the input value is taken, the function will use the input to perform some type of operation on it. For example, if the function is used to calculate the area of a circle, the operation would be to multiply the input by itself and then multiply it by the constant pi.
Output: The output of a function is based on the input. For example, if the function is used to calculate the area of a circle, the output would be the area of the circle.
Storage: Once the output of a function is computed, it can be stored for later use. This allows the same output to be used multiple times without having to recalculate the output.
Maintenance: Functions need to be maintained and updated over time. This can include updating the input, operation, and output, as well as any additional changes that might be needed. This ensures the function is up-to-date and still provides accurate results.
Learn more about function here
https://brainly.com/question/29633660
#SPJ4
any and all help is appreciated, brainliest will be given ! :)
Answer:
x = 16±2√94 over 3
Step-by-step explanation:
Move terms to the left side.
0 = -6x² + 64x + 80
- ( -6x²+64+80) = 0
Distribute
- ( - 6x²+64x+80) = 0
6x² - 64x - 80 = 0
Common factor
6x² - 64x - 80 = 0
2 (3x²-32x--40) = 0
Divide both sides by the same factor
2 (3x²-32x--40) = 0
3x² - 32x - 40 = 0
Use the quadratic formula (Not explainin this, I forgot this one.)
Simplify
1.Evaluate the exponet
2.Mulitply the numbers
3.Add the numbers
4.Evaluate the sqaure root
5.Mulitply the numbers(Do this 2 more times.)
x = 32±4√94 over 6
Separate the equations
to solve for the unknown varible, separate into two eqautions: one with a plus and another with a minus.
Solve
Rearrange and isolate the varible to find each solution.
I don’t know help m/12-8=4
Answer:
[tex] \frac{m}{12} - 8 = 4 \\ \frac{m}{12} = 4 + 8 \\ m = 12×12 \\ m = 144[/tex]
Hope it will help u...
would you earn a greater total commission with Sara or Ravi?
The current ratio of Sara's sales to Ravi's sales is 100:2
Sara's pieces of art sell for $25 each your commission is 60%
Ravi's pieces of art sell for $2000 each your commission is 25%
as a professional artist assume you will make pieces of art that sell at the same sales ratio as the artist with whom you apprenticed. would you earn more as a professional after apprenticed for Sara or Ravi?
As a professional artist and judging from the current sales ratio and commission rates, one would earn more if one apprenticed for Sara.
Which of Sara and Ravi guarantees more earnings after apprenticeship?As evident in the task content; the current ratio of Sara's sales to Ravi's sale is 100 : 2.
Since Sara's pieces of art sell for $25, the total earnings is; 25 × 100 = $2500.
Hence, since the commission rate is 60%, it follows that the commission earned on sales of Sara's pieces is; 60% of 2500 = 0.6 × 2500 = $1500.
Also, since Ravi's pieces each cost $2000, it follows that for 2 pieces, the total earnings is; 2 × $2000 = $4,000.
Hence, since the commission rate for Ravi's pieces is 25%, the commission earned is therefore; 25% of 4000 = 0.25 × 4000 = $1000.
On this note, one would earn more if one apprenticed for Sara.
Read more on commission percent;
https://brainly.com/question/22258082
#SPJ1
Write a system of equations to describe the situation below, solve usi
the blanks.
Parent volunteers at Salem High School are processing yearbook orde
an option to get the basic yearbook or a deluxe option, which includes
protective cover. In Mrs. Wu's class, 21 basic yearbooks and 6 deluxe
ordered, for a total of $2,025. The students in Mr. Boyer's class ordere
and 18 deluxe yearbooks, for a total of $2,763. How much does each
The basic yearbook costs $
and the deluxe yearbook costs $
Submit
Answer: $52.57 for each basic yearbook and $153.5 for each deluxe yearbook
Step-by-step explanation:
First, do Mr. Boyer's class to find out how much each deluxe yearbook is:
2,763 ÷ 18 = $153.5
Then do, Mrs. Wu's class: First, multiply 153.5 by the 6 deluxe yearbooks ordered;
153.5 x 6 = 921
After, subtract 921 from 2,025:
2,025 - 921 = 1104
The remaining $1104 is the total cost of the 21 basic yearbooks ordered. Divide the total cost by the number of yearbooks ordered to find the unit price:
1104 ÷ 21 = 52.5714285714
Round to the nearest hundredth: $52.57
Please give brainliest
Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x. (8x 3)(4x 7)
The product of the two polynomials is (8x³)(4x⁷) = 32x¹⁰.
THE POLYNOMIALSWhen we multiply two polynomials together, we add the exponents of the x's in each term. In this case, we have 8x³ and 4x⁷. The x in 8x³ has an exponent of 3, and the x in 4x⁷ has an exponent of 7. To find the product of the two polynomials, we add the exponents of the x's in each term, so 3 + 7 = 10. The x in the product will have an exponent of 10. The coefficient, or the number in front of the x, is also multiplied together, so 8 × 4 = 32.So the final answer is 32x¹⁰, where 32 is the coefficient and 10 is the exponent of x.The polynomial 32x¹⁰ is an example of a polynomial, but it's not a characteristic of a polynomial.A polynomial is a mathematical expression involving a sum of powers in one or more variables (such as x, y, z) with non-negative integer exponents and real or complex coefficients. A polynomial can have one or more terms, and each term is separated by a plus or minus sign.Learn more about polynomial here:
https://brainly.com/question/11536910
#SPJ4
What does it mean when a problem is undecidable?
An undecidable problem is one that should have a "yes" or "no" answer but has no algorithm that can correctly answer on all inputs.
What is undecidable problem?According to the theories of computational complexity and computability, an undecidable problem is one for which it has been demonstrated that it is impossible to create an algorithm that always yields the right yes-or-no response. As an illustration, it can be shown that there is no algorithm that can accurately predict whether arbitrary programmes will eventually halt when run.
Any question that is simply yes or no on an infinite list of inputs is a decision problem. It is customary to define the decision problem as the set of inputs for which the problem returns yes because of this. Natural numbers as well as values of other kinds, such as strings in a formal language, can be used as these inputs.
Learn more about undecidable problem
https://brainly.com/question/27345304
#SPJ4
Evaluate the expression 2a+3d
Answer:
Step-by-step explanation:
Nothing further can be done with this topic
So, your answer would have to be 2a+3d
What is the solution of 2x 3 7?
Answer: It is a straight line
Step-by-step explanation:
The sides of a triangle are 68, 61, and 46. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.
Answer: Acute
Step-by-step explanation:
The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex]. A and b are legs while c is hypotenuse. Hypotenuse is also the longest side. Let's plug them in and see if they are equal to each other.
[tex]46^2+61^2=68^2[/tex] [exponent]
[tex]2116+3721=4624[/tex] [add]
[tex]5837\neq4624[/tex]
Since they are not equal, then it is not a right triangle.
To tell is a triangle is acute, if the sum of the two shorter sides squared is greater than the longest side squared, then the triangle is acute.
At the end of the Pythagorean Theorem, we got 5837≠4624. 5837>4624, so that tells us that the triangle is acute.
Solve by using substitution. x+2y=−1 x=y+5
Answer:
Step-by-step explanation:
the first equation we konw x=-2y-1,
then -2y-1=y+5
so, y = -2, x=3
Answer:
y = -2
x = 3
Step-by-step explanation:
y + 5 + 2y = -1 (substitute)
3y + 5 = -1 (Simplify)
3y = -6 (Get rid of 5)
y = -2 (Divide)
x = -2 + 5 (plug in y)
x = 3 (simplify)
hope this helps :)
Which statement best describes a line graph?
A. It shows a line that connects a series of data
points.
B. It shows a line passing through scattered data points.
C. It shows data as proportions of a whole.
D. It shows the locations of errors in data.
Answer:
A
Explanation:
A line graph is a unique type of graph which is used in statistical application which represents the change in a quantity with respect to another quantity.
The price of different flavors of chocolates varies which can be represented, these variation is plotted in a two-dimensional XY plane.
If the relation include two measures can be presented by using a straight line in a graph called as linear graphs or a linear graph.
There are different types of the line graph, Simple Line Graph refers to Only one line is plotted on the graph, Multiple Line Graph where More than one line plotted on the same set of axes.
Compound Line Graph refers to the information can be divided into two or more types of data and this line graph is called a compound line graph which can be drawn to show the component.
2-18. Frank wonders whether corresponding angles always have equal measure. For parts () through (d) below, use tracing paper to decide if corresponding angles have the same measure. Then determine if you have enough information to find the measures of x and y. If you do, find the angle measures and state the relationship .
The angles and their relationships are -
a) ∠x = 135° (corresponding angles), ∠y = 135° (vertical angles)
b) ∠y = 45° (liner pair angles), ∠x (not enough information provided)
c) ∠x = 135° (corresponding angles), ∠y = 45° (liner pair angles)
d) ∠x = 45° (liner pair angles), ∠y (not enough information provided)
What is angle pair relationship?
In Geometry, there are five fundamental angle pair relationships:
Complementary Angles
Supplementary Angles
Adjacent Angles
Linear Pair
Vertical Angles
a) In the first diagram -
∠x = ∠a as they are both corresponding angles to each other.
So, ∠x = 135°.
Similarly, ∠y = ∠x as they both are vertically opposite angles to each other.
So, ∠y = 135°.
b) In the second diagram -
∠y + ∠a =180° as they are both form a linear pair of angles.
So, ∠y = 180° - ∠a
∠y = 180° - 135°
∠y = 45°.
Now, ∠x cannot be deduced and no proper information is given in the image.
c) In the third diagram -
∠x = ∠a as they are both corresponding angles to each other.
So, ∠x = 135°.
Now, ∠y + ∠x =180° as they are both form a linear pair of angles.
So, ∠y = 180° - ∠x
∠y = 180° - 135°
∠y = 45°.
d) In the fourth diagram -
∠x + ∠a =180° as they are both form a linear pair of angles.
So, ∠x = 180° - ∠a
∠x = 180° - 135°
∠x = 45°.
Now, ∠x cannot be deduced and no proper information is given in the image.
Therefore, all the angles are and their relationships are found.
To learn more about angle pair relationship from the given link
https://brainly.com/question/1757859
#SPJ1
A piece of paper is folded into thirds multiple times. The area, A, of the piece of
paper in square inches, after n folds, is A=90(1/3)^n.
How many folds are needed before the area is less than 1 square inch?
The paper is folded into 5 folds before the area is less than 1 square inches.
What is area?
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Here the area of the folded paper after n folds is,
A = 90[tex](\frac{1}{3})^n[/tex]
Now put n=0 into given formula,
A = 90[tex](\frac{1}{3})^0[/tex]=90×1 = 90 square inches.
Here Area of the paper before being fold is 90 square inches.
Now area is less than 1 square inches then
=> 90[tex](\frac{1}{3}) ^n[/tex] < 1
=> [tex](\frac{1}{3}) ^n < \frac{1}{90}[/tex]
Here if n= 4 then [tex](\frac{1}{3}) ^4 > \frac{1}{90} = \frac{1}{81} > \frac{1}{90}[/tex] then n=5.
Hence the paper is folded into 5 folds before the area is less than 1 square inches.
To learn more about area refer the below link
https://brainly.com/question/20110859
#SPJ1