Answers
The given number is required to be divided by the given ratio.
The required number is \(\dfrac{90}{120}\)
RatiosThe given number is \(210\)
It is to be divided in the ratio \(3:4\)
The sum of the number in the ratio is \(3+4=7\)
The number divided by the sum is
\(\dfrac{210}{7}=30\)
\(30\times 3=90\)
\(30\times 4=120\)
The required number is \(\dfrac{90}{120}\)
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Related Questions
What is the slope of the line through (-2,-6)(−2,−6)left parenthesis, minus, 2, comma, minus, 6, right parenthesis and (2,2)(2,2)left parenthesis, 2, comma, 2, right parenthesis?
Answers
Answer:
The slope of the line through (-2,-6) and (2,2) is 2
Step-by-step explanation:
The slope of the line through the two points; (-2,-6) and (2,2) is; 2
According to. the equation;
We are required to find the slope of the line through; (-2,-6) and (2,2)The slope, m is therefore;
Slope, m = (2 -(-6))/(2 -(-2))Slope, m = (2+6)/(2+2)Slope, m = 8/4Slope, m = 2.
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which equation represents the money Kelly earns in the relationship to the hours she worked let m represent the money she earns and let h represent the number of hours she worked
Answers
For each line, determine whether the slope is positive, negative, zero, or undefined.
Answers
Line 2: Undefined
Line 3: Zero
Line 4: Negative
On her way to her grandmothers house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train.
Answers
Answer:
She traveled 24 miles by train.
Step-by-step explanation:
34=total miles
x=miles by bus -
4x
y=miles by train -
3x × 4x = 12x
z=miles by foot -
1x
12x + 4x + x = 34
17x=34
17x/17=34/17
x=2
y=12(2)
y=24
Explanation:
Jackie traveled 4 times as many miles by bus than by foot, and 3 times as many miles by train than by bus. In the situation given x miles were traveled by foot, 4x miles were traveled by bus, and 4x × 3x or 12x miles were traveled by train. The values for the miles traveled by foot, bus, and train are equal to the total miles traveled. After setting up the equation 12x + 4x + x = 34 the x values need to be added: The equation 17x=34 sets the total miles traveled by train, bus, and foot, represented by 17x, equal to the total 34 miles traveled. Through dividing you gain the value of x. Then using the value for x you can calculate the miles traveled by train. The value for miles traveled by train is y=12(2) or y=24. Therefore, she traveled 24 miles by train.
Hope this helps (:
...I'll clarify anything if need
Please help marking Brainiest
Answers
Answer:
the answer is y=30x
Step-by-step explanation:
however many inches times 30 is the consistent answer to the equation
Answer:
y=30x
Step-by-step explanation:
We can start out by writing our slope-intercept form equation: y=mx+b. In this case, our y-intercept is 0, so we can write y=mx.
Let's find the slope. We can take the points (1,30) and (2,60). We can use the formula \(\frac{y_2-y_1}{x_2-x_1}\) to find our slope. Plug these values in, and we get \(\frac{60-30}{2-1}\). Evaluate this, and our slope is 30. So, our equation is y=30x.
Hope this helped!
If the negation operator in propositional logic distributes over the conjunction and disjunction operators of propositional logic then DeMorgan's laws are invalid. True False p → (q→ r) is logically equivalent to (p —— q) → r. True or false?
Answers
It should be noted that the correct statement is that "p → (q → r)" is logically equivalent to "(p ∧ q) → r".
How to explain the informationThe negation operator in propositional logic does indeed distribute over the conjunction and disjunction operators, which means DeMorgan's laws are valid.
DeMorgan's laws state:
¬(p ∧ q) ≡ (¬p) ∨ (¬q)
¬(p ∨ q) ≡ (¬p) ∧ (¬q)
Both of these laws are valid and widely used in propositional logic.
As for the statement "p → (q → r)" being logically equivalent to "(p ∧ q) → r", this is false. The correct logical equivalence is:
p → (q → r) ≡ (p ∧ q) → r
Hence, the correct statement is that "p → (q → r)" is logically equivalent to "(p ∧ q) → r".
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The reflector of a satellite dish is in the shape of a parabola with a diameter of 4 feet and a depth of 2 feet. To get the maximum reception we need to place the antenna at the focus. a. Write the equation of the parabola of the cross section of the dish, placing the vertex of the parabola at the origin. Convert the equation into standard form, if necessary. What is the defining feature of the equation that tells us it is a parabola
Answers
Answer:
\(x^2 = 2y\) --- equation
\((x,y) = (0,\frac{1}{2})\) --- focus
\(y = -\frac{1}{2}\) --- directrix
\(Width = 2\) ---- focal width
Step-by-step explanation:
Given
\(depth = 2\)
\(diameter = 4\)
Required
The equation of parabola
The depth represents the y-axis. So:
\(y = 2\)
The diameter represents how the parabola is evenly distributed across the x-axis.
We have:
\(diameter = 4\)
-2 to 2 is 4 units.
So:
\(x = [-2,2]\)
So, the coordinates of the parabola is:
\((-2,2)\ and\ (2,2)\)
The equation of the parabola is calculated using:
\(x^2 = 4py\)
Substitute (-2,2) for (x,y)
\((-2)^2 = 4p*2\)
\(4 = 8p\)
Divide by 8
\(p = \frac{4}{8}\)
\(p = \frac{1}{2}\)
So, the equation is:
\(x^2 = 4py\)
\(x^2 = 4 * \frac{1}{2} * y\)
\(x^2 = 2y\)
The defining features
(a) Focus
The focus is located at:
\((x,y) = (0,p)\)
\((x,y) = (0,\frac{1}{2})\)
(b) Directrix (y)
\(y = -p\)
\(y = -\frac{1}{2}\)
(c) Focal width
\(Width = 4p\)
\(Width = 4*\frac{1}{2}\)
\(Width = 2\)
John Austen is evaluating a business opportunity to sell premium car wax at vintage car shows. The wax is sold in 64-ounce tubs. John can buy the premium wax at a wholesale cost of $30 per tub. He plans to sell the premium wax for $80 per tub. He estimates fixed costs such as travel costs, booth rental cost, and lodging to be $900 per car show. Read the 1. Determine the number of tubs John must sell per show to break even. 2. Assume John wants to earn a profit of $1,100 per show. a. Determine the sales volume in units necessary to earn the desired profit. b. Determine the sales volume in dollars necessary to earn the desired profit. c. Using the contribution margin format, prepare an income statement (condensed version) to confirm your answers to parts a and b. 3. Determine the margin of safety between the sales volume at the breakeven point and the sales volume required to earn the desired profit. Determine the margin of safety in both sales dollars, units, and as a percentage.
Answers
1. To determine the number of tubs John must sell per show to break even, we need to consider the fixed costs and the contribution margin per tub. The contribution margin is the difference between the selling price and the variable cost per tub.
In this case, the variable cost is the wholesale cost of $30 per tub. The contribution margin per tub is $80 - $30 = $50. To calculate the break-even point, we divide the fixed costs by the contribution margin per tub:
Break-even point = Fixed costs / Contribution margin per tub
Break-even point = $900 / $50 = 18 tubs
Therefore, John must sell at least 18 tubs per show to break even.
2a. To earn a profit of $1,100 per show, we need to determine the sales volume in units necessary. The desired profit is considered an additional fixed cost in this case. We add the desired profit to the fixed costs and divide by the contribution margin per tub:
Sales volume for desired profit = (Fixed costs + Desired profit) / Contribution margin per tub
Sales volume for desired profit = ($900 + $1,100) / $50 = 40 tubs
Therefore, John needs to sell 40 tubs per show to earn a profit of $1,100.
2b. To determine the sales volume in dollars necessary to earn the desired profit, we multiply the sales volume in units (40 tubs) by the selling price per tub ($80):
Sales volume in dollars for desired profit = Sales volume for desired profit * Selling price per tub
Sales volume in dollars for desired profit = 40 tubs * $80 = $3,200
Therefore, John needs to achieve sales of $3,200 to earn a profit of $1,100 per show.
c. Income Statement (condensed version):
Sales Revene: 40 tubs * $80 = $3,200
Variable Costs: 40 tubs * $30 = $1,200
Contribution Margin: Sales Revenue - Variable Costs = $3,200 - $1,200 = $2,000
Fixed Costs: $900
Operating Income: Contribution Margin - Fixed Costs = $2,000 - $900 = $1,100
The condensed income statement confirms the answers from parts a and b, showing that the desired profit of $1,100 is achieved by selling 40 tubs and generating sales of $3,200.
3. The margin of safety represents the difference between the actual sales volume and the breakeven sales volume.
Margin of safety in sales dollars = Actual Sales - Breakeven Sales = $3,200 - ($50 * 18) = $2,300
Margin of safety in units = Actual Sales Volume - Breakeven Sales Volume = 40 tubs - 18 tubs = 22 tubs
Margin of safety as a percentage = (Margin of Safety in Sales Dollars / Actual Sales) * 100
Margin of safety as a percentage = ($2,300 / $3,200) * 100 ≈ 71.88%
Therefore, the margin of safety is $2,300 in sales dollars, 22 tubs in units, and approximately 71.88% as a percentage.
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• Choose a topic from the list below: Argue why Josef Pieper conception of leisure is the best one in modernity, or instead why it might be a limited conception in comparison to another theory of leisure. • Argue why a life is better with leisure today, and why for the classical Greeks, an absence of leisure meant an absence of a happy life. • Argue why John Dewey and modern liberal thinkers did not agree with Aristotle's ideas on education or on leisure generally. • Argue how modern psychological conceptions of happiness and the classical idea of happiness in Aristotle differ. What was the "Greek Leisure Ideal" and how would it manifest today according to Sebastian De Grazia? What happened to it? • Argue why the liberal arts are so important in education and leisure, and explain its Greek origin and how that is received today. • You must choose from this list, but it can be modified slightly if you have an idea you wish to pursue. The main requirement is that you must contrast at least one ancient thinker and one modern one. • The paper must be well researched and contain a minimum of 6 sound academic sources. • Textbook or course readings may be used, but do not count in this total. DETAILS SCALCET8 1.3.039. 0/1 Submissions Used Find f o g o h. f(x) = 3x - 8, g(x) = sin(x), h(x) =x^2
Answers
To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.
The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.
The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.
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part of a line consisting of two endpoints and all the points in between
Answers
Answer:
line segment
Step-by-step explanation:
the answer is above
find the product of 123 x 48
Answers
Answer:
5904
Step-by-step explanation:
Which statement is true about the graphs of the two lines y=-x+2 and y=-x- ?
O The lines are perpendicular to each other because - and - are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and - 1 are opposite reciprocals of each other.
O The lines are neither parallel nor perpendicular to each other because - and are not opposite reciprocals
of each other.
The lines are neither parallel nor perpendicular to each other because 2 and - 3 are not opposite reciprocals of
each other.
Answers
Answer:
The correct option is Option C
Step-by-step explanation:
We are given the lines: \(y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}\)
The lines are perpendicular if they have opposite slopes i,e \(m_1=-\frac{1}{m_2}\)
In line 1 the slope is \(-\frac{4}{5}\) (Comparing with slope-intercept form \(y=mx+b\) we get the value of m=-4/5)
In line 2 the slope is \(-\frac{5}{4}\) (Comparing with slope-intercept form \(y=mx+b\) we get the value of m=-5/4)
The opposite reciprocal of -4/5 is 5/4
So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.
If the lines are parallel there slope must be same. Hence lines are not parallel as well.
So, The correct option is Option C
Answer:
c
Step-by-step explanation:
Juan scored 15 points more than on this test than his previous test. If the average of the two tests is at least 92 and both scores are integers what are the least scores he could have had on the two tests.
Answers
The least scores Juan could have had in the two tests are 85 and 100
How to determine the possible scores on the tests?Let the test scores be x and y
Where x is the current test and y is the previous test
Using the interpretation of the parameters in the question, we have the following:
x = y + 15 --- the relationship between the test scores
The average test scores can be represented as
1/2(x + y) ≥ 92
Substitute x = y + 15 in 1/2(x + y) ≥ 92
1/2(y + 15 + y) ≥ 92
Evaluate the like terms
1/2(2y + 15) ≥ 92
So, we have
2y + 15 ≥ 184
This gives
2y ≥ 169
Divide by 2
y ≥ 84.5
From the question both numbers are integers
So, we can assume that y = 85
Substitute y = 85 in x = y + 15
x = 85 + 15
Evaluate
x = 100
Hence, the possible test scores are 85 and 100
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The half-life of a certain radioactive substance is 45 days. There are 6.2 grams present initially. On what day
will there be less than 1 gram remaining? Day
Answers
Answer:
There will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days
Step-by-step explanation:
The given parameters are;
The half life of the radioactive substance = 45 days
The mass of the substance initially present = 6.2 grams
The expression for evaluating the half life is given as follows;
\(N(t) = N_0 \left (\dfrac{1}{2} \right )^{\dfrac{t}{t_{1/2}}\)
Where;
N(t) = The amount of the substance left after a given time period = 1 gram
N₀ = The initial amount of the radioactive substance = 6.2 grams
\(t_{1/2}\) = The half life of the radioactive substance = 45 days
Substituting the values gives;
\(1 = 6.2 \left (\dfrac{1}{2} \right )^{\dfrac{t}{45}\)
\(\dfrac{1}{6.2} = \left (\dfrac{1}{2} \right )^{\dfrac{t}{45}\)
\(ln\left (\dfrac{1}{6.2} \right ) = {\dfrac{t}{45} \times ln \left (\dfrac{1}{2} \right )\)
\(t = 45 \times \dfrac{ln\left (\dfrac{1}{6.2} \right ) }{ln \left (\dfrac{1}{2} \right )} \approx 118.45 \ days\)
The time that it takes for the mass of the radioactive substance to remain 1 g ≈ 118.45 days
Therefore, there will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days.
what is the answer to 3x + 7x − 2
Answers
Answer:
Step-by-step explanation:
Add like terms. 3x & 7x are like terms
3x +7x - 2 = 10x - 2
Answer:
0.2
Step-by-step explanation:
3x+7x-2
3x+7x-2=0
3x+7x=2
10x=2
x=2/10
x=\(\frac{1}{5}\)
A committee consisting of three people is to be selected from ten members. How many ways are there to select the committee of three people
Answers
Answer:
120
Step-by-step explanation:
10 choose 3
theres really no simple way to do that with work unless you have a fancy calculator.
Simplify 12¹⁶/12⁴ .
Answers
\(12^{12}\)
subtract 4 from 16.
Sana's mother bought produce for Sunday dinner. She bought one more pound of peaches than pounds of tomatoes. She bought 3 times as many pounds of tomatoes as pounds of mushrooms. If peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost $10 per lb, how many of each did Sana's mother buy for $80?
Answers
Using a system of equations, it is found that Sana's mother bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Number of pounds of peaches.Variable y: Number of pounds of tomatoes.Variable z: Number of pounds of mushrooms.She bought one more pound of peaches than pounds of tomatoes, hence:
x = y + 1.
y = x - 1.
She bought 3 times as many pounds of tomatoes as pounds of mushrooms, hence:
x = 3z.
y = x - 1 = 3z - 1.
She spent a total of $80, hence considering the cost per pound of each product we have that:
6x + 3y + 10z = 80.
Considering the values of x and y as function of z and replacing in the equation, we have that:
6(3z) + 3(3z - 1) + 10z = 80
18z + 9z - 3 + 10z = 80.
37z = 83.
z = 83/37
z = 2.24.
Then:
x = 3z = 3 x 2.24 = 6.72.
y = x - 1 = 3z - 1 = 6.72 - 1 = 5.72.
Hence, she bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.
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7 lbs peaches, 6 lbs tomatoes, 2 lbs mushrooms
yum!
i need help with finding the value of x
Answers
Answer:
Step-by-step explanation:
7x-2=11x-34
-2+34=11x-7x
32=6x
x=32/6=16/3
will be nice if you give me brainlies.Good luck!
Plz plz plz answer fast and sub to Pewdiepie
Answers
Answer:
(C)
Step-by-step explanation:
plz give brainlist
The depth y (in inches) of a lake after x years is represented by the equation y=0.2x+42 . How much does the depth of the lake increase in four years
Answers
Answer:
42.8 inStep-by-step explanation:
Step one:
given data
we are told that the expression for the depth of a lake after x years is given by
\(y=0.2x+42\)
Required
The value of y when x= 4
Step two:
substitute the value of x in the expression to get y
\(y=0.2(4)+42\\\\y=0.8+42\\\\y=42.8\\\\\)
After 4 years the depth will increase by 42.8 in
What is a trend line in math.
Answers
Answer:
Determining if a set of points exhibits a positive trend, a negative trend, or no trend at all.
A trend line, often referred to as a line of best fit, is a line that is used to represent the behavior of a set of data to determine if there is a certain pattern.
1
Work out the area of the shape:
3cm
6cm
2cm
2cm
Answers
Answer:
24 cm
Step-by-step explanation:
6*2+3*4=?
12+12
24 cm
What is the positive square root of 9 over 16?
Answers
Answer:
3/4
Step-by-step explanation:
Help please please please I will mark you as brainlist!
Answers
Answer:
x=2; 7
Step-by-step explanation:
Answer:
For question 4, the answer is 7. The value of x is 2.
For question 5, the value of y is 1.
2 more than the sum of y and x as an algebraic expression
Answers
Answer:
(x+y)+2
hope this helps
After four years of college, Erica has to start paying off all her student loans. Her first payment is due at the end of this month. Her bank told her that she has 7 years to pay off all of her loans, and that starting this month, the loans will be compounded monthly at a fixed annual rate of 9.1%. Erica currently has a total of $34,006.00 in student loans. Use the formula for the sum of a finite geometric sequence to determine Erica's approximate monthly payment.
Answers
Answer:
Therefore, the approximate monthly payment is $548.85
Step-by-step explanation:
The amount of student loans Erica currently has = $34,006.00
The duration over which Erica is to pay back the loan = 7 years
The annual interest rate for the loan = 9.1%
Therefore, we have the geometric sequence formula is given as follows;
\(A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ]\)
Where;
M = The monthly payment
P = The initial loan balance = $34,006.00
r = The annual interest rate = 9.1%
n = The number of monthly payment = 7 × 12 = 84
Aₙ = The amount remaining= 0 at the end of the given time for payment
Substituting the values into the above formula, , we get;
\(0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]\)
\(M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85\)
Therefore, the approximate monthly payment = $548.85
Element X decays radioactively with a half life of 14 minutes. If there are 160 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 11 grams?
loudy
y = a(.5)^t/h
Answers
\(\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\dotfill &11\\ P=\textit{initial amount}\dotfill &160\\ t=\textit{elapsed time}\\ h=\textit{half-life}\dotfill &14 \end{cases} \\\\\\ 11=160\left( \frac{1}{2} \right)^{\frac{t}{14}}\implies \cfrac{11}{160}=\left( \cfrac{1}{2} \right)^{\frac{t}{14}}\implies \log\left( \cfrac{11}{160} \right)=\log\left[ \left( \cfrac{1}{2} \right)^{\frac{t}{14}} \right]\)
\(\log\left( \cfrac{11}{160} \right)=\cfrac{t}{14}\log\left[ \left( \cfrac{1}{2} \right)\right]\implies \cfrac{\log\left( \frac{11}{160} \right)}{\log \left( \frac{1}{2} \right)}=\cfrac{t}{14} \\\\\\ 14\left( \cfrac{\log\left( \frac{11}{160} \right)}{\log \left( \frac{1}{2} \right)} \right)=t\implies {\LARGE \begin{array}{llll} \stackrel{mins}{54.1}\approx t \end{array}}\)
Sum the values of f(x) = x2 + 5 evaluated at x = 0.25, x = 0.5, ... , x = 1.5.
Answers
The sum of the values of f(x) = x2 + 5 evaluated at x = 0.25, x = 0.5, ... , x = 1.5 is 35.6875.
To sum the values of f(x) = x2 + 5 evaluated at x = 0.25, x = 0.5, ... , x = 1.5,
We simply plug in each value of x and add the resulting values.
f(0.25) = (0.25)2 + 5 = 5.0625
f(0.5) = (0.5)2 + 5 = 5.25
f(0.75) = (0.75)2 + 5 = 5.5625
f(1) = (1)2 + 5 = 6
f(1.25) = (1.25)2 + 5 = 6.5625
f(1.5) = (1.5)2 + 5 = 7.25
The sum of these values is:
5.0625 + 5.25 + 5.5625 + 6 + 6.5625 + 7.25 = 35.6875
Therefore, the sum of the values of f(x) = x2 + 5 evaluated at x = 0.25, x = 0.5, ... , x = 1.5 is 35.6875.
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Question: Find the area of the region enclosed by the curves y = 2 cos (pi x/2) and y = 2 - 2x^2. The area of the enclosed region is (Type an exact answer, ...
Answers
The difference between the upper curve (y = 2 - 2x^2) and the lower curve (y = 2 cos(pi x/2)) with respect to x over the given interval Area = ∫[from -1.316 to 1.316] (2 - 2x^2 - 2 cos(pi x/2)) dx.
To find the area of the region enclosed by the curves y = 2 cos(pi x/2) and y = 2 - 2x^2, we need to determine the points of intersection between the two curves and integrate the difference between them over the common interval.
Let's start by setting the two equations equal to each other:
2 cos(pi x/2) = 2 - 2x^2.
Simplifying this equation, we get:
cos(pi x/2) = 1 - x^2.
To solve for the points of intersection, we need to find the x-values where the two curves intersect. Since the cosine function has a range between -1 and 1, we can rewrite the equation as:
1 - x^2 ≤ cos(pi x/2) ≤ 1.
Now, we solve for the values of x that satisfy this inequality. However, finding the exact analytical solution for this equation can be challenging. Therefore, we can approximate the points of intersection numerically using numerical methods or graphing technology.
By plotting the graphs of y = 2 cos(pi x/2) and y = 2 - 2x^2, we can visually determine the points of intersection. From the graph, we can observe that the two curves intersect at x-values approximately -1.316 and 1.316.
Now, we integrate the difference between the two curves over the common interval. Since the curves intersect at x = -1.316 and x = 1.316, we integrate from x = -1.316 to x = 1.316.
To calculate the area, we integrate the difference between the upper curve (y = 2 - 2x^2) and the lower curve (y = 2 cos(pi x/2)) with respect to x over the given interval:
Area = ∫[from -1.316 to 1.316] (2 - 2x^2 - 2 cos(pi x/2)) dx.
Evaluating this integral will give us the area of the enclosed region.
It's important to note that since the integral involves trigonometric functions, evaluating it analytically might be challenging. Numerical integration methods, such as Simpson's rule or the trapezoidal rule, can be used to approximate the integral and calculate the area numerically.
Overall, to find the exact area of the region enclosed by the curves y = 2 cos(pi x/2) and y = 2 - 2x^2, we need to evaluate the integral mentioned above over the common interval of intersection.
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