Find the arc length of the given curve on the specified interval. This problem may make use of the formula [xVx2 + y2 + a2 109(x + Vx2 + 32)] + from the table of integrals in the back of the book.
Answers
The arc length of the given curve on the interval [0,1] is (1/4) * [√17 + ln(1 + √17)/4].
To find the arc length of the given curve on the specified interval, we will use the formula [x√(1+Vx^2) + a^2 ln(x + √(1+Vx^2))] and substitute the given values to obtain the final result.
The formula for arc length of a curve is given by:
L = ∫√(1+(dy/dx)^2) dx
where dy/dx is the derivative of the given curve.
In this case, the given curve is y = 4x^3/3 - 2x, and its derivative is dy/dx = 4x^2 - 2.
Substituting this into the formula for arc length, we get:
L = ∫√(1+(4x^2-2)^2) dx
We can simplify this using the substitution u = 4x^2-2, du/dx = 8x:
L = ∫√(1+u^2) * (1/8x) du
Next, we use trig substitution by setting u = tanθ, du = sec^2θ dθ:
L = ∫√(1+tan^2θ) * (1/8x) sec^2θ dθ
Simplifying using trigonometric identities, we get:
L = ∫secθ/4x dθ
We can now integrate this using the formula [x√(1+Vx^2) + a^2 ln(x + √(1+Vx^2))] with a = 1/2 and V = 16:
L = (1/4) * [x√(1+16x^2) + (1/2)^2 ln(x + √(1+16x^2))]
To find the arc length on the specified interval [0,1], we substitute the values:
L = (1/4) * [1√(1+161^2) + (1/2)^2 ln(1 + √(1+161^2))] - (1/4) * [0√(1+160^2) + (1/2)^2 ln(0 + √(1+160^2))]
Simplifying, we get:
L = (1/4) * [√17 + ln(1 + √17)/4]
Therefore, the arc length of the given curve on the interval [0,1] is (1/4) * [√17 + ln(1 + √17)/4].
To learn more about arc length here:
brainly.com/question/16403495#
#SPJ11
Related Questions
Is 9 11/13 bigger than 9.79
Answers
\(9\frac{11}{13}\) is bigger than 9.79
The mixed fraction = \(9\frac{11}{13}\)
The mixed fraction is the fraction that expressed with its quotient and remainder. The mixed fraction is the combination of a whole number and a simple fraction
Simple fraction is the fraction that has whole numbers as the numerator and denominator.
The decimal number is a number that has whole and the fractional parts are separated by a decimal point
First we have to convert the mixed fraction into simple fraction
\(9\frac{11}{13}\) = 128/13
Next we have to convert the simple fraction into decimal form
Divide 128 by 13
The result will be
128/13 = 9.85
Hence, \(9\frac{11}{13}\) is bigger than 9.79
Learn more about mixed fraction here
brainly.com/question/2753661
#SPJ1
You are performing two chemistry experiments. The probability that both experiments are successful is 22%. If the first experiment is successful, the probability that the second experiment is also successful is 31%. What is the probability that the first experiment is successful?
A.
70.97%
B.
62.56%
C.
58.99%
D.
67.81%
Answers
Using the concept of probability, the probability that the first experiment is successful is 70.97%
Calculating probabilityTo calculate the probability that the first experiment is successful, we use the relation thus :
Probability of first experiment being successful = P(both experiments are successful) / P(second experiment is successful | first experiment is successful)Inserting the values into the formula :
0.22/0.31 = 0.70967 = 70.97%Therefore, the probability value is 70.97%
Learn more on probability: https://brainly.com/question/24756209
#SPJ1
Express the angle in radian measure 150deg
Answers
degree to radian = angle in degree * pi/180
rad = 150 * pi/180 = 2.618 radians
in statistics it is important to characterize your population and understand your sample. If your goal in a study is to analyze the number of teenage drivers using cell phones while driving, what would be an inappropriate population?
a) 50 girls from a local high school
b) 100 high school juniors with their license
c) 100 high school students who drive to school on a daily basis
d) 200 high school students
Answers
The inappropriate population would be option a) 50 girls from a local high school.
Option a) 50 girls from a local high school is inadequate because it narrows the study's focus to a specific gender and a single high school. This limitation introduces selection bias, as the sample does not represent the diversity of teenage drivers in general.
Option b) 100 high school juniors with their license is more appropriate, as it includes students who have reached the minimum age to obtain a driver's license. However, it still may not fully capture the entire population of teenage drivers, as it excludes high school seniors and students who have not yet obtained their license.
Option c) 100 high school students who drive to school daily is a more suitable population as it includes both genders and accounts for students who actively engage in driving. However, it may still exclude teenagers who drive outside of their school commute, potentially limiting the scope of the study.
Option d) 200 high school students provides a larger sample size and has the potential to include a broader representation of teenage drivers. However, the composition of this population is not explicitly defined, and it may still be necessary to ensure a diverse mix of schools, genders, and ages within the sample for more accurate conclusions.
To Read More About Sample Click Below:
brainly.com/question/22641137
#SPJ11
The bar graph below gives the distribution of the most popular colors for cars and light trucks sold globally in 2010.
Answers
The given distribution of the most popular car colors for 2010 is presented in a bar graph. This type of plot effectively displays the categorical data and their corresponding percentages. Therefore, the appropriate plot for representing the given data is the bar graph provided initially.
Now let's consider the options:
a) A time series plot: A time series plot is used to visualize data over a specific period of time. Since the given data represents the distribution of car colors for a single year (2010), a time series plot is not appropriate in this case. Therefore, option a) is not suitable.
b) A pie chart: A pie chart is commonly used to represent parts of a whole. In this case, the data is already presented in a bar graph, which effectively displays the proportions of each car color. Although a pie chart can also represent proportions, it may not provide the same level of clarity as the bar graph. Therefore, option b) is not necessary.
c) A histogram: A histogram is used to visualize the distribution of continuous or discrete data across intervals or bins. In this case, the data is categorical, representing specific car colors and their corresponding percentages. Therefore, a histogram is not appropriate.
d) All of the above: Since options a) and c) are not suitable for representing the given data, the correct answer is not d) "All of the above."
To learn more about histogram click here: https://brainly.com/question/16819077
#SPJ11
The bar graph below gives the distribution of the most popular colors for cars and light trucks sold globally in 2010. Most popular car colors (2010) CE 20 15 Percent 10 Silver Black While Blue Gray Red Color Brown Other Which of the following kinds of plots would also be appropriate for these data? a) a time series plot b) a pie chart a histogram. a) a time series plot b) a pie chart. c) a histogram. d) All of the above
Write the quadratic equation in general form.
40x² = 30
Answers
The solution of the equation is x = \(\frac{\sqrt{3} }{2}\) and - \(\frac{\sqrt{3} }{2}\).
Now, According to the question:
What is Quadratic Equation?
The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:
ax² + bx + c = 0
where x is the unknown variable and a, b and c are the constant terms.
The given equation is :
40x² = 30
40x² - 30 =0
Common factor:
10(4x²- 3) = 0
Divide both sides by the same factor
10(4x²- 3) = 0
4x²- 3 = 0
Use the quadratic formula:
x = -b±\(\sqrt{b^2-4ac}\)/ 2a
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula:
4x²- 3 = 0
a = 4
b = 0
c = -3
x = -0±\(\sqrt{0^2-4(4)(-3)}\)/ 2(4)
By simplify:
x = ±\(\frac{4\sqrt{3} }{8}\)
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x = \(\frac{4\sqrt{3} }{8}\)
x = -\(\frac{4\sqrt{3} }{8}\)
Rearrange and isolate the variable to find each solution
x = \(\frac{\sqrt{3} }{2}\) and - \(\frac{\sqrt{3} }{2}\)
Hence, The solution of the equation is x = \(\frac{\sqrt{3} }{2}\) and - \(\frac{\sqrt{3} }{2}\).
Learn more about Quadratic Equation at:
https://brainly.com/question/30098550
#SPJ4
I have a bag of marbles, where each marble is pink or yellow. The ratio of pink marbles to yellow marbles is $3:5.$ If there are total of $72$ marbles in the bag, how many are pink
Answers
The fraction of pink marbles in the bag is:3/8Total number of marbles in the bag is 72.Hence, the number of pink marbles is:3/8 × 72 = 27Thus, there are 27 pink marbles in the bag.
The ratio of pink marbles to yellow marbles is 3:5, and the total number of marbles in the bag is 72. Determine the number of pink marbles in the bag we will use the following steps: Step 1: Total ratio is 3 + 5 = 8Step 2: Divide the total number of marbles by the total ratio to find the value of one unit.72 ÷ 8 = 9
This means 1 unit = 9 marbles .Step 3: the number of pink marbles using the ratio given.In the ratio of pink marbles to yellow marbles, the total ratio is 3 + 5 = 8.
To know more about fraction visit :-
https://brainly.com/question/8969674
#SPJ11
in your class there are 48 student; 32 students are female. approximately what percentage is male?
Answers
Answer:
33.33%----------------
Number of male is the difference of total and female:
48 - 32 = 16Percentage of male:
16/48 × 100% = 1/3 × 100% = 33.33%Answer:
33.33%
Step-by-step explanation:
First, let us find the number of male students.
Total students = Male students + Female students
Male students = Total students - Female students
Male students = 48 - 32
Male students = 16
Then, let us find the percentage of males.
\(\sf Percentage\:of\: males=\dfrac{No.\:of\:males}{Total\:number\:of\:students} *100\\\\\sf Percentage\:of\: males=\dfrac{16}{48} *100\\\\\sf Percentage\:of\: males=0.3333 *100\\\\\sf Percentage\:of\: males=33.33\)
what are the numbers for h?
Answers
Answer:
0,1
2,2
4,3
6,4
Step-by-step explanation:
Some Examples
4 = 1/2 (6) + 1
4 = 3 + 1
4=4
----------
2 = 1/2 (2) + 1
2 = 1 + 1
2 = 2
h
0
2
4
6
...................
What is the value of K the line?
Answers
As asked by the question, the value of K for a given equation of a line is equal to the slope of the line.
What is a line?A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.
What is slope of a line?A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).
The value of K for a given line is equal to the slope of the line. Since lines are generally expressed in the form of y = mx +b , where m is the slope of the line and b is the y-intercept of the line. Here , the value of K will be equal to the slope m of the line.
To learn more about lines visit:
brainly.com/question/24524587
#SPJ4
hihi pls help with geometry:)
Answers
Answers:
problem 6) x = 5problem 7) x = 5problem 8) x = 4problem 9) x = 6================================================
Explanation:
The angles with the similar arc markers are congruent angles. This is only when we consider any particular triangle isolated from the others.
Since we have 2 congruent angles, the triangles are considered isosceles. The congruent sides are opposite the congruent angles.
So we'll set the congruent side expressions equal to one another and solve for x. We ignore the side that isn't opposite one of the congruent angles. This applies to all four problems.
---------------------------
Work Shown for Problem 6:
3x = x+10
3x-x = 10
2x = 10
x = 10/2
x = 5
---------------------------
Work Shown for Problem 7:
x = 10-x
x+x = 10
2x = 10
x = 10/2
x = 5
---------------------------
Work Shown for Problem 8:
4x-12 = x
4x-x = 12
3x = 12
x = 12/3
x = 4
---------------------------
Work Shown for Problem 9:
2(x+3) = 18
2x+6 = 18
2x = 18-6
2x = 12
x = 12/2
x = 6
Or you can solve it like this
2(x+3) = 18
x+3 = 18/2
x+3 = 9
x = 9-3
x = 6
When do scientists use math in an experiment? How do you know?
Answers
Scientists use math in experiments when they make measurements, analyze quantitative data, and make predictions based on this data.
This is known because Math is an integral part of Science which is why both subjects ( Science and Math ) are considered STEM subjects.
How do scientists use math ?Scientists use math in an experiment to make measurements, analyze data, and make predictions.
For example, scientists use math to make precise measurements of physical quantities such as length, weight, and temperature. They also use math to perform calculations such as determining the concentration of a substance in a solution or the rate of a chemical reaction.
Scientists also use mathematical models and statistical analysis to analyze data and make predictions about the outcome of an experiment. They use mathematical equations to describe the relationships between different variables and to test hypotheses. They also use statistical techniques to determine the significance of their results and to make inferences about a larger population from a smaller sample of data.
Find out more on math and science at https://brainly.com/question/14473572
#SPJ1
A biologist puts an initial population of 500 bacteria into a growth plate. The population is expected to double every 4 hours. Write the equation that will give the expected number of bacteria, n, after x days. (24 hours = 1 day)
Answers
Answer:
\(n = 500e^{-4.1589x}\)
Step-by-step explanation:
Using the exponential growth equation \(N(t) = N_0e^{-kt}\) where;
N₀ is the initial population of the bacteria
N(t) is the population of the bacteria during time t
If a biologist puts an initial population of 500 bacteria into a growth plate, this means that N₀ = 500 at t = 0
\(N(t) = N_0e^{-kt}\\N(t) = 500e^{-k(0)}\\N(t) = 500e^0\\N(t) = 500\)
If the population is expected to double every 4 hours, this means when t = 4, N₀ = 2(500) = 1000
\(N(t) = N_0e^{-kt}\\500 = 1000e^{-4k}\\\frac{500}{1000} = e^{-4k}\\0.5 = e^{-4k}\\ln(0.5) = lne^{-4k}\\ln(0.5) = -4k\\k = \frac{ln0.5}{-4} \\k = 0.1733\)
The equation that will give the expected number of bacteria, n, after x days, can be gotten by substituting N(t) = n and t = x days = 24x hours
\(N(t) = N_0e^{-kt}\\n = N_0e^{-0.1733(24x)}\\n = 500e^{-4.1589x}\)
Hence the equation that will give the expected number of bacteria, n, after x days is \(n = 500e^{-4.1589x}\)
Which of the following multiplication expressions have a product equal to 2/3? Mark all that apply.
2/3 x 2/3
5/6 x 2/3
4 1/8 x 2/3
2/3 x 2
2/3 x 5/5
4/4 x 2/3
Answers
Answer:
2/3 x 5/5 and 4/4 x 2/3
Step-by-step explanation:
I used my calculator so I really can't explain it to you but those are the answers for sure. Good Luck!!! :) :)
list the range
(1, -2), (-2,0), (-1,2), (1,3)
Answers
Answer:
-2,0,2,3
Step-by-step explanation:
In this problem, the Domain are the first number in the parenthesis, while the range is the second.
1. (1, -2) - - > The second number is -2
2.(-2, 0) - - > The second number is 0
3. (-1,2) - - > The second number is 2
4. (1,3) - - > The second number is 3
Therefore the answers are -2,0,2,3
Determine whether the events are mutually exclusive or not mutually exclusive. Then find the probability. Round to the nearest tenth of a percent, if necessary.
drawing a card from a standard deck and getting a jack or a six
Answers
Drawing a card from a standard deck and getting a jack or a six are not mutually exclusive events. The probability of drawing a card from a standard deck and getting a jack or a six is 2/13.
Mutually exclusive events: Events that cannot happen at the same time are known as mutually exclusive events. If one event occurs, the other event cannot occur.
Not mutually exclusive events: Events that can occur simultaneously or individually are known as non-mutually exclusive events.
Here, drawing a card from a standard deck and getting a jack or a six are not mutually exclusive events because the same card can be a jack and a six card. Hence they can occur together.
The probability of drawing a card from a standard deck and getting a jack or a six is given as follows:
P(Jack or a Six) = P(Jack) + P(Six) - P(Jack and Six)
As there are 4 jacks and 4 sixes in a deck of 52 cards, the probability of drawing a jack or a six is given as:
P(Jack or a Six) = P(Jack) + P(Six) - P(Jack and Six)= 4/52 + 4/52 - 0= 8/52= 2/13
Therefore, the probability of drawing a card from a standard deck and getting a jack or a six is 2/13.
To know more about probability visit:
https://brainly.com/question/31828911
#SPJ11
please answer these quickly
Answers
Answer:
10. D 12 cm 8. D 25 C. 60
Step-by-step explanation:
Answer:
D=12
B:23
A:48
Step-by-step explanation:
area of a rectangle= base *height or (length* width)
area of triangle = 1/2 base * height
area of rectangle=area of triangle
bh=1/2 bh
1/2h=bh/b
1/2h=h( of rectangle)
h=2(6)=12
second page : 28+18=46
46/2=23
third: the number is 48:
24/12=2 remainder 0
erics cell phone service costs $40.00 a month for unlimited calls. he also pays $0.02 for each text message he sends. what equation represents the total cost, c, in dollars, for when eric sends t text message
Answers
Answer:
40.021
Step-by-step explanation:
Unlimited calls = $40
Text message = $0.021
NOTE:There is a difference between the value you gave for cost of text messages in the question and the values given in the group of answers. I will use $0.021 for cost of text messages since it is common to all answer choices.
Total cost = Cost of unlimited calls + cost of text messages
C = $40 + $0.021
= $40.021
Therefore, the equation which represent the total cost in dollars for a month is 40.021
A. 40.021
Answer:
maluna1999live is correct the answer is 40.021 so if your going to give someone the brailest then it should be maluna1999live
Step-by-step explanation:
how many ways are there for a man to invite some (nonempty) subset of his 10 friends to dinner?
Answers
There are 1023 ways for a man to invite some (nonempty) subset of his 10 friends to dinner.
Each friend can either be invited or not invited, which gives us two choices for each friend. Since there are 10 friends, there are 2^10 = 1024 possible ways to invite or not invite them. This is determined using the product rule.
However, we need to subtract 1 from this number, because one of these ways is to not invite any friends, which is not a valid option since the question specifies that the subset must be nonempty. Therefore, the final answer is 1023 ways.
Learn more about Subset:
https://brainly.com/question/28451267
#SPJ11
Select the correct answer.
What is the solution to this system of equations?
x= 12 - y
2x + 3y= 29
ОА.
x = 8, y=4
B.
x = 6, y = 6
O C. x = 7, y= 5
OD
x = 9, y = 3
Answers
Answer:The answer is C
Step-by-step explanation:
When you plug it in 7*2 is 14+ 5*3 is 15 you add 14+15 you get 29 and then for the other equation you do 12-5 which gives you the x value of 7. Hope this helps.
Solve each system by graphing.1) 2x + y = 1x − 2 y = 82) 3x + 2 y = 4x + 2 y = −43) 4x + y = 1x + y = −24) x + 3 y = −95x + 3 y = 35) x + 2 y = 43x + 2 y = 86) 5x − 3 y = −122x + 3 y = −97) x − y = −12x + y = 48) 2x − y = −22x − y = 39) x + y = −64x + y = 310) x − 7 y = −2113x − 7 y = 6311) 5x − 7 y = −424x + 7 y = −2112) x + y = −3x − y = 113) 3x − y = −44x + 3 y = −2714) x − 8 y = −5615x − 8 y = 56
Answers
The types of systems of linear equations are as follows:
Dependent: The system has infinitely many solutions. The graphs of the equations represent the same lines.
Independent: The system has exactly one solution. The graphs of the equations intersect at a single point.
Inconsistent: The system has no solution. The graphs of the equations are parallel lines.
Linear equations are mathematical equations that describe a linear relationship between two or more variables. These equations have the form of y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.
The solutions to linear equations form a straight line when plotted on a graph.
By plotting the equations on the graph we get:
The lines intersect at (3, -1)The lines intersect at (2, -1)The lines are parallel and don't intersect, no solutionThe lines intersect at (-6, 15)The lines intersect at (2, 2)The lines intersect at (3, -3)The lines intersect at (3, 2)The lines intersect at (2, 0)The lines are identical, infinitely many solutionsThe lines intersect at (8, -7)The lines intersect at (3, -3)The lines are identical, infinitely many solutionsThe lines intersect at (-1, 1)The lines are identical, infinitely many solutionsTo know more about linear equations refer to:
brainly.com/question/29739212
#SPJ4
Find the angle between vector bold lower u equals 3 bold lower I plus start root 3 end root bold lower j and vector bold lower v equals negative 2 bold lower I minus 5 bold lower j to the nearest degree. A. 82° B. 38° C. 142° D. 98°
Answers
Answer:
C. 142°
Step-by-step explanation:
You want the angle between vectors u=3i+√3j and v=-2i-5j.
AngleThere are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:
u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest
You can find the angles of the vectors individually, and subtract those:
u = |u|∠α
v = |v|∠β
θ = α - β
When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:
\(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)
This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.
A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.
__
Additional comment
The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.
The dot-product relation will work with 3D vectors as well as 2D vectors.
<95141404393>
a right rectangular prism 3 in by 4.25 in by 18.25 in what is the total surface area of the prism
Answers
The total surface area of the prism will be 290.125 Square units.
What is a surface area of a rectangular prism?The surface area of a rectangular prism is the measure of how much-exposed area a prism has. Surface area is expressed in square units.
The surface area of a rectangular prism is given by:
SA = 2 (lh +wh + lw )
where
l = 3
w = 4.25
h = 18.25
SA = 2 (3x18.25 + 4.25x18.25 + 3x4.25)
SA = 2 (54.75 + 77.5625 + 12.75)
SA = 2 (146.0625)
SA = 290.125 square units
Learn more about surface area of the prism here: https://brainly.com/question/26889653
#SPJ1
Zach decided to read the Game of Thrones for his summer project. The book has 450 pages, and Zack wanted to be done reading within 10 days. He decided to set up a table that will help him consistently read the same number of pages for a total of 10 nights. How many pages will he read each night?
Answers
Zach decided to read the Game of Thrones for his summer project. The book has 450 pages, and Zack wanted to be done reading within 10 days.
He decided to set up a table that will help him consistently read the same number of pages for a total of 10 nights. How many pages will he read each night?Zach wants to read the book of 450 pages within 10 days. He plans to read the same number of pages every night for 10 nights, to achieve this purpose.
To know how many pages Zach will read every night, we can create an equation and solve it. Let the number of pages Zach reads every night be ‘x’. Then, the total number of pages read in 10 nights = Number of pages read every night × Total number of nights= 10xOn the other hand, the total number of pages in the book is 450 pages. As Zach has to read the entire book, we can equate the two expressions of the total number of pages as: Total number of pages = 10x= 450 pages. By solving this equation, we can find the value of x, which will be the number of pages that Zach reads every night.10x = 450 pagesx = 45 pages Therefore, Zach needs to read 45 pages every night to finish reading the Game of Thrones within 10 days.
Know more about read the Game of Thrones here:
https://brainly.com/question/19919325
#SPJ11
HELPPPOOPOPPPP!!!! PLEASE
Answers
The answer is....................................................
-18=7v+9-10v
slove for v.
Answers
Answer:
v=9
Step-by-step explanation:
-18 = 7v + 9 - 10v
combine like terms
-18 = -3v + 9
-9 -9
-27 = -3v
divide both sides by -3
9 = v
or
v = 9
Hope this helps!!!
HELPPPP
Solve the inequality.
9 - 12 13
O q>1
O 9-1
o 925
09> - 25
Answers
Answer:
b
Step-by-step explanation:
angels has a collection of nickels and quarters worth 8.80. if she has 68 nickels and quarters, how many quarters does she have?
Answers
Answer:
She has 27 quarters
Step-by-step explanation:
Let:
x = Number of nickels
y = Number of quarters
US$0.05 = 5 cents = monetary value of a nickel
US$0.25 = 25 cents = monetary value of a quarter
x + y = 68
x = 68 - y ---- -------- (equation i)
0.05x + 0.25y = 8.80----- (equation ii)
These two are linear simultaneous equations, which can be solved either by substitution, elimination or graphical method.
Substitution method:
Substitute (equation i) into (equation ii) to solve for y:
0.05(68 - y) + 0.25y = 8.80
Expand the brackets by applying the Distributive Law and then bring all the like terms together. y needs to be isolated and made the subject of the equation:
= 3.4 - 0.05y + 0.25y = 8.80
= 0.25y - 0.05y = 8.80 - 3.40
= 0.20y = 5.40
= y = \(\frac{5.40}{0.20}\)
∴ y = number of quarters = 27
I don’t really need a explanation just give answer For both questions
Answers
Number 2 is B
x = 4 and y= 4
A reseller has a budget of $800 to purchase desks. Each desk costs an
equal amount and is available at a fixed discounted percent. The expression
800 (48d-0.18.48d) represents the amount of the budget, in dollars, left
after buying d desks.
Answers
The expression that represents the total amount of discount in dollars is; (48d - 0.18 x 48d)
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by the mathematical symbol; which can b used to indicate the logical syntax's order of operations and other features.
We are given that the reseller has a budget of $800 to purchase desks. Each desk costs an equal amount and is available at a fixed discounted percent.
The expression 800 (48d - 0.18 x 48d) represents the amount of the budget, left after buying d desks.
Therefore, the expression that represents the total amount of discount in dollars are;
(48d - 0.18 x 48d)
To know more about an expression follow;
brainly.com/question/19876186
#SPJ1