A function to define the area of the triangle is A(b,h) = (1/2)*b*h
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}.
1) A relation is said to be a function if every element of set A has one and only one image in set B.
2) A function is a relation from a non-empty set B such that the domain of a function is A and no two distinct ordered pairs in f have the same first element.
A function from A → B and (a,b) ∈ f, then f(a) = b, where 'b' is the image of 'a' under 'f' and 'a' is the preimage of 'b' under 'f'.
If there exists a function f: A → B, the set A is called the domain of the function f, and the set B is called its co-domain.
Let us assume that the base of the triangle is b and the height of the triangle is h.
So, a function to define the area of the triangle is
A(b,h) = (1/2)*b*h
This function is a function in two variables.
Thus, a function to define the area of the triangle is A(b,h) = (1/2)*b*h
To learn more about functions, visit brainly.com/question/12431044
#SPJ4
Mariano delivers newspaper. He always puts 3/4 of his weekly earnings in his savings account and then divides the rest equally into 3 piggy banks for spending at the snack shop, the arcade and the subway
a. Fraction of earnings that Mariano put into each piggy bank is 1/12
b. Mariano earns $28.8
Mariano divides his earnings into a saving account and 3 piggy banks.
First, we have to know the fraction that we divide in the 3 piggy banks.
Piggy banks =Total earning-Saving account
Saving account 3/4,
Total earnings is 1
to rest both terms we have to get the same denominator, so we can say that the total earning is 4/4
Piggy banks =4/4-3/4=( 4-3)/4=1/4
Piggy banks =1/4
Each piggy bank will be 1/3 of that 1/4
1/3 x 1/4=
For fraction multiplication, multiply the numerators and then multiply the denominators to get
1×1/3×4=1/12
This fraction cannot be reduced.
b. Mariano adds $2.40
1/12 is 2.40
We use cross-multiplication
a/b=c/d replacing (1/12)/2.40 = 1/ ?
So, the total earning (?) is 1 x 2.40/ (1/12)
= 2.40 x 12=$28.8
Complete question:
Mariano delivers newspapers. He always puts 3/4 of his weekly earnings in his savings account and then divides the rest equally into 3 piggy banks for spending at the snack shop, the arcade, and the subway.
a. What fraction of his earnings does Mariano put into each piggy bank?
b. If Mariano adds $2.40 to each piggy bank every week, how much does Mariano earn per week delivering papers?
To know more about fractions visit: brainly.com/question/30231190
#SPJ4
Mariano always puts 3/4 of his weekly earnings in his savings account and then 1/4 part divides into 3 piggy banks and in each it has 1/12 .
Let the total income of Mariano who delivers newspaper be x.
He puts 3/4(x) of his total income of his weekly earnings in his savings account.
The remaining income be x/4 and it is divided into 3 piggy banks.
so the income divides into each piggy bank will be 1/3(x/4) = x/12
so, therefore the amount that Mariano puts in each piggy bank is 1/12 part of his weekly income.
Learn more about divides here:
https://brainly.com/question/15381501
#SPJ4
Write an equation in point-slope form of the line that passes through the point (1.0) with slope -
An equation is
Answer:
Step-by-step explanation:
The equation of the line in point-slope form can be written as:
y - 0 = -1/4 (x - 1)
where (1, 0) is the point and -1/4 is the slope of the line.
Determine lim x→ 4 f(x) given the definition of f(x) below. (If the limit does not exist, enter DNE.) if= -2x² + 3x - 1 if x-4
-1 if -4 < x < 1
-2x² + x if x ≥ 1
The limit as x approaches 4 of f(x) is equal to -2 * 4^2 + 3 * 4 - 1 = 15.
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. Example. A function is defined technically as a relation between a set of inputs and a set of potential outputs, where each input is associated to exactly one output. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.
Here,
The limit of f(x) as x approaches 4 is given by the value of f(4).
For x = 4, the definition of f(x) is:
-2x^2 + 3x - 1 = -2 * 4^2 + 3 * 4 - 1 = 15.
Therefore, the limit of f(x) as x approaches 4 is 15.
So, lim x→ 4 f(x) = 15.
The limit of f(x) as x approaches 4 is equivalent to -2 * 42 + 3 * 4 - 1 = 15.
To know more about function,
https://brainly.com/question/28278699
#SPJ4
two cities are 51 miles away from each other. how far would the cities be on a map that has a scale of 3 inches:17 miles?
The distance that would be between the cities on a map that has a scale of 3 inches:17 miles is 9 inches.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The two cities are 51 miles away from each other.
3 inches:17 miles
Now,
17 miles = 3 inches
Multiply 3 on both sides.
17 x 3 miles = 3 x 3 inches
51 miles = 9 inches
Thus,
There would be 9 inches between the cities on the map.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Is the following equation open , false or true?
5x+6=6x + 11
Answer:
False
Step-by-step explanation:
Answer:
Step-by-step explanation:
5x=6x+9 then subtract 6x to get -1x=9. divide by 1 to get x=-9. this make the equation true. Therefore it is open.
PLSSSS HELP IF YOU TURLY KNOW THISSS
Answer:
the Answer is x=5
Step-by-step explanation:
so all you do is 2+5 is 7 example say 2+x=4 what is 2+2=4
A construction company is curretly working on six projects the table shows the progress of each of the projrcts represented as a decimal what Is the range of the progrese of these projects
The range of the progress of the construction company's six projects is 0.82.
The range of data is a measure of its spread. To calculate the range, you subtract the smallest value from the largest value.
The data for this problem is:
Project Progress
u 0.87
v 0.31
w 0.08
x 0.05
y 0.19
z 0.5
In this case, the smallest value is 0.05 (project x) and the largest value is 0.87 (project u), so:
= 0.87 - 0.05 = 0.82This means that the difference between the most advanced project and the least advanced project is 0.82. The range is an important measure of variability and helps in understanding the distribution of data, in this case, the progress of the construction projects.
Learn more about range in statistics brainly.com/question/8486248
#SPJ4
A pattern is emerging... the general term is
Plugging in we get, (a) Do the same thing for the recurrence T(n) = 3T(n/2) + O(n). What is the general term in this case? And what value of k should be plugged in to get the answer?
(b) Now try the recurrence , a case which is not covered by the master theorem. Can you solve this too?
The general term for the recurrence T(n) = 3T(n/2) + O(n) is O(nlog3). To get the answer, we should plug in k = log3. For the second recurrence, we cannot use the master theorem since it does not cover this case.
To solve this recurrence, we have to use the substitution method, where we guess a solution of the form T(n) = an^k and then prove that this is indeed a solution. This can be done by substituting the guessed solution back in to the recurrence. If the substitution works, then we have solved the recurrence. If not, we can try different values for a and k until the substitution works.
know more about recurrence here
https://brainly.com/question/16931362#
#SPJ11
Factor the expression to fill in the blank.
48 + 96 = ? (1 + 2)
Answer:
48
Step-by-step explanation:
48+96 =144
x * (1+2) = 3x = 144
so x = 48
Evaluate the integral. (5x cos(6x) dx To use the integration-by-parts formula ſu du = wv - fu du, we must choose one part of 5x cos(6x) dx to be u, with the rest becoming du.
The required integration-by-parts formula of given function is 5x (1/6) sin(6x) - (5/36) cos(6x) + C.
How to integrate a function by part formula?To evaluate the integral using integration-by-parts, we need to find two functions u and dv such that their derivative is equal to the integrated, and such that the anti-derivative of dv can be easily found. The integration-by-parts formula states that:
According to question:∫ uv = u(v) - ∫ v du
Let's choose u = 5x and dv = cos(6x) dx. Then, du = 5 dx and v = (1/6) sin(6x).
Using the integration-by-parts formula, we get:
∫ 5x cos(6x) dx = 5x (1/6) sin(6x) - ∫ (1/6) sin(6x) 5 dx
The antiderivative of (1/6) sin(6x) 5 is (5/36) cos(6x), so:
∫ 5x cos(6x) dx = 5x (1/6) sin(6x) - (5/36) cos(6x) + C,
where C is the constant of integration.
To know more about Integral visit:
brainly.com/question/18125359
#SPJ4
Find the value of y.
answers:
5√ 3
10
5√ 2
5
The value of y in the given triangle is 5√3. Therefore, option A is the correct answer.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
In the given triangle, one of the leg of right tringle is 5 units.
We know that, tanθ= Opposite/Adjacent
tan60° =y/5
√3 =y/5
y=5√3
Therefore, option A is the correct answer.
Learn more about the trigonometric ratios here:
brainly.com/question/25122825.
#SPJ1
Pam’s Pet Supply Palooza buys bags of dog food (m) directly from the manufacturer at a 50% discount off the original market price. Pam then sells each bag of dog food at a price that is 3 times the amount that she paid for it.
Which expression correctly represents the cost of a bag of dog food to the customer in terms of (m), the original market price?
The expression that correctly represents the cost of a bag of dog food to the customer in terms of (m), the original market price is 1.5m
As per the given data Pam’s Pet Supply Palooza buys bags of dog food directly from the manufacturer.
Market Price = m
Got 50% discount off the original market price.
Discount = 50%
Pam then sells each bag of dog food at a price that is 3 times the amount that she paid for it.
Selling Price =3 × (Amount she paid)
If she gets a discount of 50 %, then she pays 50 % (100 - 50% ).
So, the amount she paid is:
Amount = 50 % × Market Price
Amount = [tex]$\frac{50}{100}[/tex] × m
Amount = 0.5 × m
Amount = 0.5 × m
She sells at three times that amount.
So, the selling price is:
Selling Price = 3 × 0.5 m
Selling Price = 1.5 m
Therefore the expression is 1.5 m.
For more questions on discount
https://brainly.com/question/29058578
#SPJ4
Help Please, will give brainly if correct
The equation of the first and second line is y = 1.5x + 1 and y = 1.5x - 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on
The slope intercept form of a linear equation is:
y = mx + b
where m is the rate of change and b is the y intercept
The first line passes through the point (0, 1) and (-2, -2). Hence:
[tex]y-y_1=\frac{y_1-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-1=\frac{-2-1}{-2-0} (x - 0)\\\\y=1.5x+1[/tex]
The second line passes through the point (0, -2) and (-2, -5). Hence:
[tex]y-y_1=\frac{y_1-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-(-2)=\frac{-5-(-2)}{-2-0} (x - 0)\\\\y=1.5x-2[/tex]
The equation of the line is y = 1.5x + 1 and y = 1.5x - 2
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Two similar figures have a side ratio of 3:4. The area of the larger figure is 100 square units. What is the area of the smaller figure?
Enter fractions as decimals.
Answer:
Below
Step-by-step explanation:
the sides of the second figure are 4/3 bigger than the first
4/3 * 4/3 * 100 = 177.78 units^2
There are two sides involved in calculating area L x W
so you have to multiply by 4/3 TWICE
Researchers are investigating the effectiveness of using a fungus to control the spread of an insect that destroys trees. The researchers will create four different concentrations of fungus mixtures: O milliliters per liter (ml/L), 1.25 ml/L, 2,5 ml/L, and 3.75 ml/L, An equal number of the insects will be placed into 20 individual containers. The group of insects in cach container will be sprayed with one of the four mixtures, and the researchers will record the number of insects that are still alive in each container one week after spraying (a) Identify the treatments, experimental units, and response variable of the experiment Treatments Experimental units: Response variable: (b) Does the experiment have a control group? Explain your answer, (c) Describe how the treatments can be randomly assigned to the experimental units so that each treatment has the same number of units.
(b) Yes, the experiment has a control group.
(c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.
a) Treatments: Four different concentrations of fungus mixtures (0 ml/L, 1.25 ml/L, 2.5 ml/L, and 3.75 ml/L).
Experimental units: 20 individual containers with a group of insects.
Response variable: Number of insects that are still alive in each container one week after spraying.
(b) A control group is used to compare the results of the treatment group to a group that is not exposed to the treatment.
In this experiment, the control group can be the group of insects that are not exposed to any of the fungus mixtures.
c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.
This way, each treatment has the same number of units and the assignment of treatments to units is random, which reduces the risk of bias in the experiment.
For more questions on Response variable
https://brainly.com/question/29806029
#SPJ4
A container ha the following dimenion,120cm×300cm×430cm. How many litre of liquid can the box hold
The container that has the following dimensions 120cm×300cm×430cm can hold 15480 liters of liquid
What is volume?It is the space occupied by a body, it is calculated by multiplying its dimensions, for example: length, height and width.
Calculating the volume of the container we get the liter of liquid it can hold in cubic centimeters :
v = h*l*w
v = 120cm×300cm×430cm
v = 15480000 cubic centimeters
Converting the volume from cubic centimeters to liter we have:
1 liter is equal to 1000 cubic centimeters
x = 15480000 cubic centimeters * (1 liter / 1000 cubic centimeters)
x = 15480 liters
Learn more about volume at: brainly.com/question/12628341
#SPJ4
Almost all medical schools in the united states require students to take the medical college admission test (mcat). The total score of the four sections on the test ranges from 472 to 528. In spring of 2019, the mean score was 500. 9, with a standard deviation of 10. 6.
What is the question for this so I can answer it?
A computer store buys a computer system at a cost of $463.80. The selling price was first at $773, but then the store advertised a 20% markdown on the system. Answer parts a and b.
Answer:
618.4
Step-by-step explanation:
Based on the given conditions, formulate: 773 x (1 - 20%)
Calculate the sum or difference: 773 × 0.8
Calculate the product or quotient: 618.4
Answer: 618.4
Angelina’s family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
The ordered pair (–3, 6) is viable.
The ordered pair (7, 2) is viable.
The ordered pair (15, –7) is viable.
The ordered pair (18, 3) is non-viable.
Answer:
look at the image and give me brainliest k thx
Step-by-step explanation:
Answer:
Step-by-step explanation:
7,2 is viable
A company uses a sketch to plan an advertisement on the side of a building. The lettering on the sketch is ¾ inch tall. In the actual advertisement, the letters must be 34 times as tall. How tall will the letters be on the building?
The letters in the actual advertisement will be 25.5 inches tall.
The height of the letters in the sketch is ¾ inch. To find the height of the letters on the actual advertisement, we have to multiply ¾ inch by 34.
So, ¾ inch x 34 = 25.5 inches
Therefore, the height of the letters on the building will be 25.5 inches.
It's important to understand the relationship between the sketch and the actual advertisement. In this case, the sketch serves as a visual representation to plan the design, but the size of the lettering must be adjusted to fit the intended space. In this case, the lettering needs to be 34 times larger in the actual advertisement than it is in the sketch.
You can learn more about height at
https://brainly.com/question/73194
#SPJ4
how to find the speed of a roller coaster math ia
To find the speed of a roller coaster, measure the distance it travels in a certain amount of time, then divide that distance by the amount of time it took to travel.
To find the speed of a roller coaster, start by measuring the distance it travels in a certain amount of time. This can be done by using a measuring tape to measure the total length of the track. Then, use a stopwatch to measure the amount of time it takes for the coaster to complete one full lap of the track. Once you have both of these measurements, divide the total distance traveled by the amount of time it took to travel. This will give you the speed of the roller coaster, given in units such as meters per second.
Learn more about amount here
https://brainly.com/question/8082054
#SPJ4
In this problem it will be useful to recall the following properties of logarithms: log(xy)=log(x)+log(y) and log(xa)=alog(x).
Find the least integer k such that f(n) is O(nk) for each of the following functions:
f(n) = 18 + 28 + � + n8
f(n) = log(n!)
f(n) = log(nn) / (n9 + 1)
The least integer k such that f(n) is O(nk) for each of the following functions is k = 2.
log (n!) = ln(n!)
First we know ,
[tex]\lim_{n \to \infty} \frac{ln(n!)}{n^{k} } = L[/tex]
where L is a limited number.
then ,
[tex]\lim_{n \to \infty} \frac{ln(n!)}{n^{k} } = L \\\\\lim_{n \to \infty} \frac{ln(n+1)!-ln(n!)}{(n+1)^{k}- n^{k} } = L[/tex] Stolz's Formula
By solving the upper limit we get k =2
It can make
[tex]\lim_{n \to \infty} \frac{1}{k} \frac{ln(n+1)}{n^{(k-1)} } _[/tex]
[tex]\lim_{n \to \infty} \frac{1}{2} \frac{ln(n+1)}{n^{} } = 0[/tex]
The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain.
Learn more about Functions:
https://brainly.com/question/14921699
#SPJ4
what is the area of the region between the curves y=sinx and y=cosx that contains the point (0,0)
The area of the region between the curves y=sinx and y=cosx that contains the point (0,0) is 4π.
The area of the region between the curves y=sinx and y=cosx that contains the point (0,0) is the integral of the absolute value of the difference between the two functions. This is expressed mathematically as:
∫|sinx-cosx|dx
Using integration by parts, we can break this integral into two parts:
∫sinx dx - ∫cosx dx
Integrating each of these parts separately and substituting in the limits of integration from 0 to 2π, we get the following:
2π - 0 - (-2π)
Simplifying, this gives us the area of the region as 4π.
Therefore, the area of the region between the curves y=sinx and y=cosx that contains the point (0,0) is 4π.
Learn more about area of the region here:
https://brainly.com/question/13354937
#SPJ4
Determine whether the description corresponds to an observational study or an experiment Research is conducted to determine if there is a relation between heart arrhythmias and caffeine consumption. Does the description correspond to an observational study or an experiment?
The description corresponds to an observational study, which involves gathering data and information to draw conclusions without intervening in the process. Correct answer: letter D.
An experiment would involve manipulating the variables to see the effect of the manipulation. In this case, it would involve changing the caffeine consumption and observing the effect on heart arrhythmias.
In order to better understand the relationship between heart arrhythmias and caffeine consumption, researchers need to consider a variety of factors, including the amount of caffeine consumed, the timing of consumption, and any potential underlying medical conditions that could be influencing the results.
Furthermore, researchers need to ensure that the study population is large enough and diverse enough to accurately reflect the general population. Additionally, researchers need to consider potential confounding variables, such as lifestyle factors, medications, and other dietary components that could be influencing the results.
Learn more about heart arrhythmias:
https://brainly.com/question/28198574
#SPJ4
shakita is making banners for the homecoming parade she has 4 1/2 yards of felt to make banners if she need 1/4 of a yard for each banner will she have enough felt to make 10 banners if yes will she have any left over if no how much more felt will she need to make the 10 banners
Shakita will have enough felt to make 10 banners and she will have 2 yards left over
How to find the required additional bannersFirst, let's calculate how much felt Shakita needs for 10 banners using multiplication
= 10 banners * 1/4 yard per banner
= 2.5 yards
Comparing this with the amount of felt Shakita has:
Shakita has 4.5 yards of felt, and she needs 2.5 yards to make 10 banners, so she will have:
4.5 yards - 2.5 yards = 2 yards of felt left over.
Learn more about multiplication at:
https://brainly.com/question/10873737
#SPJ1
b. What is the value of the camper after 5 years? Round to the nearest dollar.
$13320 is the value of the camper after 5 years.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
m=23680-29600/3-2
=-5920
Now let us find the y intercept
37000=-5920(1)+b
b=37000+5920
b=42920
y=-5920(5)+42920
=-29600+42920
y=13320
Hence, $13320 is the value of the camper after 5 years.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ1
Solve the initial value problem
10(t+1)dydt?9y=9t,
After differentiation, The expression will be [tex]y = \frac{10}{9-t}[/tex].
What is differentiation?Differentiation is one of the two central concepts in calculus, along with integration. Differentiation is a method for finding a function's derivative. Differentiation is a mathematical technique used to calculate the instantaneous rate of change of a function based on one of its variables. Velocity, or how quickly a distance varies in respect to time, is the most common example. Differentiation's opposite is finding an antiderivative.
If x and y are two variables, then dy/dx gives the rate of change of x in relation to y. A function's derivative is represented universally by the equation f'(x) = dy/dx, where y = f(x) is any function.
dy/dx
Now,
Given right expression is[tex]10(t+1)\frac{dy}{dt}-9y=9t[/tex]
[tex]9(y+t)=(10t-10)\frac{dy}{dt}[/tex]
After differentiation: [tex]\frac{s}{dx} (x^{n}) = nx^{n-1}[/tex]
[tex]9(y+t)=10[/tex]
[tex]y = \frac{10}{9-t}[/tex]
To know more about differentiation visit the link
brainly.com/question/24062595?referrer=searchResults
#SPJ4
I need it quick pls almost done with home work
E = 18.1 h will be a proportional equation for e in terms of h that matches the context.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given a table of data about total earnings and working hours,
Since its given that the data is proportional thus we can make an equation in terms of earning and working hours variable.
Let "e" be the earnings of Penelope and " h" be the total working hours
Thus,
e/h = 362/20
e = 18.1h
Therefore, a proportional equation for e in terms of h that matches the context will be E = 18.1h.
Learn more about proportionalities here:
https://brainly.com/question/3254974
#SPJ1
Fathi ha \$1. 10$1. 10dollar ign, 1, point, 10 in hi printing account. Each heet of paper he ue reduce hi printing account balance by \$0. 25$0. 25dollar ign, 0, point, 25. Fathi want to print out a PDF document that i 474747 page long. To ave paper, he decide to print on both ide of each heet and to print two page on each ide of the heet
Since Fathi has $1.10 in his printing account, he will have -$59342.28 after printing the 474747-page PDF document.
Let's calculate how much Fathi will spend on printing the 474747-page PDF document.
Since Fathi is printing 2 pages on each side of a sheet, he uses 1/2 sheet of paper per 2 pages. And since each sheet of paper reduces his printing account balance by $0.25, he will spend $0.25 per 2 pages.
So, the cost per page is $0.25 / 2 = $0.125.
Now, we can calculate the total cost of printing the 474747 pages by multiplying the cost per page by the number of pages:
$0.125 * 474747 = $59343.38
Since Fathi has $1.10 in his printing account, he will have $1.10 - $59343.38 = -$59342.28 after printing the 474747-page PDF document.
So, Fathi will not have enough funds in his printing account to print the document and will have to add more money to his account or find another way to print the document.
To learn more about Arithmetic Operations
Visit; brainly.com/question/25834626
#SPJ4
Since Fathi has $1.10 in his printing account, he will have -$59342.28 after printing the 474747-page PDF document.
Let's calculate how much Fathi will spend on printing the 474747-page PDF document.
Since Fathi is printing 2 pages on each side of a sheet, he uses 1/2 sheet of paper per 2 pages. And since each sheet of paper reduces his printing account balance by $0.25, he will spend $0.25 per 2 pages.
So, the cost per page is $0.25 / 2 = $0.125.
Now, we can calculate the total cost of printing the 474747 pages by multiplying the cost per page by the number of pages:
$0.125 * 474747 = $59343.38
Since Fathi has $1.10 in his printing account, he will have $1.10 - $59343.38 = -$59342.28 after printing the 474747-page PDF document.
So, Fathi will not have enough funds in his printing account to print the document and will have to add more money to his account or find another way to print the document.
To learn more about Arithmetic Operations Visit; brainly.com/question/25834626
#SPJ4
What is Rational Root Theorem Definition?
The Rational Root Theorem states that for a polynomial equation with integer coefficients to have a rational solution, that solution must be represented by the a factor of the constant (denoted by the variable p) divided by a factor of the leading coefficient (denoted by the variable q).
Define polynomial equation?An algebraic equation, also known as a polynomial equation, is a mathematical equation of the form P=0, where P is a polynomial with coefficients in some field, most commonly the field of rational numbers.Polynomial equations are equations formed with variables, exponents, and coefficients. It can have different exponents, with the higher one referred to as the equation's degree.A polynomial equation is a mathematical expression made up of variables, coefficients, and exponents. A polynomial function has only one independent variable.A polynomial equation is essentially a polynomial expression that has been equated to 0. 3x2 - 5 = 0 is a polynomial equation, just as 3x2 - 5 is a polynomial expression.To learn more about polynomial equation refer to:
https://brainly.com/question/28947270
#SPJ4