Answer:
G H I J K L M N O P Q R S T U V W X Y Z
Step-by-step explanation:
Use the properties of logarithms to expand the logarithm as much as possible. rewrite the expression as a sum, difference, or product of logs. log √(x^7y^-4) = can you explain it?
The logarithm is expanded as much as possible to, log √(x^7y^-4) = (7/2) log (x) + (-2) log(y).
Simplifying the given logarithmic expression, log √(x^7y^-4).
Use the power rule of logarithms, log(a^x) = x log a.
Say, x= 1/2 and a = (x^7y^-4).
log √(x^7y^-4) = (1/2) log (x^7y^-4)
Now, use the multiplication property of the logarithms, log (ab) = log(a) + log(b). Consider a = x^7 and b = y^-4.
log √(x^7y^-4) = (1/2) log (x^7) + (1/2) log(y^-4)
Now, again use the power rule in both the terms,
log √(x^7y^-4) = (7/2) log (x) + (-4/2) log(y)
log √(x^7y^-4) = (7/2) log (x) + (-2) log(y)
This is the simplified expression.
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PLEASE ANSWER
Value Rent-A-Car rents a luxury car at a daily rate of $37.33 plus 25 cents per mile. A business person is allotted $110 for car rental each day. How many miles can the business person travel on the $110?
Answer:
290.68 miles
Step-by-step explanation:
fixed rate 37.33 per day
mileage 0.25 per miles
allowance 110 per day
how many miles = x
110 = 37.33+0.25x
0.25x =110-37.33 = 290.68 miles
There are only 7 days left until the launch of our new product and we only have $668.00 left in our promotion budget. We need to spend $85.00 o the last day. Can you calculate how many dollars a day we can spend on the remaining days.
The number of dollars each day we can spend in the remaining days is, $97
What is division?Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.
We denote division by '÷' this symbol.
Given that,
Amount left in promotion budget = $668.00
Amount we need to spend on the last day = $85.00
The number of dollars in can spend each day = ?
Total amount can spend in remaining days = $668.00 - $85.00
= $583
Each day can spend = 583/6
= 97
Hence, the number of dollars can spend each day, $97
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Question content area top
Part 1
A car moving at a constant speed passed a timing device at tequals
0.
After 9
seconds, the car has traveled 828
ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Then the linear function rule to model the distance the car has traveled in any number of seconds will be d = 92t.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Times
s = d/t
d = st
The value of 's' is given as,
s = 828 / 9
s = 92 feet per second
Then the linear function rule to model the distance the car has traveled in any number of seconds will be d = 92t.
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Find all solutions of the equation that lie in the interval [0,π]. State each answer correct to two decimal places.
cos(x)=0.4
The solutions of the equation that lie in the interval [0,π] is 1.1592 and 1.98239.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
cos(x)=0.4
Take cos inverse on both side
[tex]cos^{-1[/tex] (cos(x)) = [tex]cos^{-1[/tex] (0.4)
x = [tex]cos^{-1[/tex] (0.4)
x= 1.1592
and, the second solution
x = π - 1.1592
x = π - 1.1592
x= 1.98239
Hence, the solutions are 1.1592 and 1.98239.
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In radiation protection, which of the following is a measure of the probabilistic health effect on an individual as a result of an intake of radioactive material into the body?
A. TEDE
B. Gyt
C. Gya
D. CEDE
The correct answer is A. TEDE, which stands for Total Effective Dose Equivalent.
This is a measure of the effective dose equivalent to an individual resulting from an intake of radioactive material. It takes into account the type of material ingested and the radiation dose received.
It takes into account the type of material ingested and the radiation dose received. TEDE is generally used in radiation protection to estimate the probabilistic health effect on an individual as a result of an intake of radioactive material.
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Tennis starts moving at 4m/s to the left. for 5s he is accelerating at a constant rate of 3m/s^2. what is his final velocity
The final velocity of the Tennis for the condition is 19 m/s.
What is acceleration?acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.
Given Tennis starts moving at 4m/s to the left,
initial speed = 4 m/s
for 5s he is accelerating at a constant rate of 3m/s^2
time = t = 5 s
acceleration = 3 m/s²
to find the final velocity,
velocity is given by,
v = u + at
u = initial speed, t = time, and a = acceleration
v = 4 + 3(5)
v = 4 + 15
v = 19 m/s
Hence velocity is 19 m/s.
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Aiguo places 6 circular biscuits, each with the same diameter, on a baking sheet as shown below. What is the
approximate area in inches squared of the baking sheet left uncovered? Use 3.14 for pi
8 in.
12 in.
A. 20.64
B. 301.44
C. 75.36
D.72
Therefore , the solution of the given problem of rectangle comes out to be about 46cm2 of the baking sheet are left uncovered.
What is a rectangle?A rectangle is just a cube with quartet right angles in the Euclidean plane. It is also known as a quadrant that appears to have equal angles, or an equiangular quadrilateral. A straight angle is an additional alternative for the parallelogram. A square has four sides that are the same length. A quadrilateral with four 90° vertices and four equal sides is rectangular in shape. Due of this, it is occasionally referred to as a "equirectangular rectangle".
Here,
Given :
Size: 12 cm
Size = 18 cm
Rectangle's area is equal to 12*18.
Rectangle's surface area is 216 cm2.
One circle's diameter is equal to Length/3.
One circle's diameter is equal to 18/3, or 6 cm.
Circle area is equal to d2/4.
Circle area equals (6)2/4
Circles have an area of 364.
A circle's area is 9 cm2.
The six circular biscuits' surface area is 6 (9), or 54 cm2.
The six circular biscuits' surface area is 54 (3.14), or 169.56 cm2.
Amount of the baking sheet still exposed is equal to 216 - 169.56
46.44 cm2 of the baking sheet were left uncovered.
About 46cm2 of the baking sheet are left uncovered.
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A ball is thrown into the air. Its height (in feet) t seconds later is given by h ( t ) = 64 t − 16 t 2 Based on the two equivalent forms of the function h ( t ) = 64 t − 16 t 2 = t ( 64 − 16 t ) , answer the following questions: a) What is the height of the ball 1 second after it has been thrown? (Include units) b) After how many seconds does the ball hit the ground? (Include units) c) At what time(s) is the ball 50 feet above the ground?
After 1 second, the height of the ball will be 48 feet above the ground, and if the ball lands after 4 seconds of being thrown into the air the ball is 50 feet above the ground after 4.66 seconds.
So we have the function:
h(t)=64t-16t²
height h(t) is measured as the ball after t seconds.
A) To find the height of the ball after 1 second if it has been thrown, then substitute 1 for t. Thus:
h(1)=64(1)-16(1)²
Simplify:
h(1)=64-16
Subtract:
h(1)=48
Thus, after 1 second, the height of the ball is 48 feet above the ground.
B) To know how many seconds after being thrown the ball hit the ground, we have to set h(t) to 0. 0 can be defined as that it will be 0 feet above ground level: in another word, on the ground. So:
0=64t-16t²
Solve for t. Factor out a 16t
0=16t(4-t)
Zero Product Property:
16t=0, 4-t=0
Solve for t:
t=0 or t=4.
We have to ignore the first zero. So, the value of t is 4 and the ball lands after 4 seconds of being thrown into the air.
C) To calculate at what time(s) the ball is 50 feet above the ground, set h(t) to 50 and solve for t:
50=64t-16t²
First, we have to divide everything in 2 to simplify things:
25=32t-8t²
Subtract 15 from both sides:
-8t²+32t-10=0
Now, to find the zeros, we can use the quadratic formula. a=-8, b=32, and c=-10. Thus:
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
Substitute:
[tex]x=\frac{-32+\sqrt{(32)^2-4(-8)(-10)} }{2(-10)}[/tex]
Simplify:
[tex]x=\frac{32+\sqrt{704} }{20}[/tex]
Use a calculator. Approximate:
x=4.6647
Therefore, the ball is 50 feet above the ground after 4.66 seconds.
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17p = 34 = - 10 + 196
The value of the expression is p = -8.94.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.
We have an expression,
17p = 34 = - 10 + 196.
Simplifying,
17p = 34 = 186
17p = 34 - 186
17p = -152
p = -8.94
Therefore, the value is -8.94.
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An experiment conducted at Pennsylvania State University was designed to evaluate the effectiveness of irrigation and fertilizers on colorado blue spruce trees growth. Fertilizer is used with one group of colorado blue spruce trees in a moist region, and irrigation is used with colorado blue spruce trees in a dry region. What are the confounding variables and why?
It's important to control for these confounding variables to ensure that the results of the experiment accurately reflect the impact of the independent variables (irrigation and fertilizers) on the dependent variable (growth of Colorado blue spruce trees).
What are confounding variables?Confounding variables are extraneous variables that can influence the relationship between the independent variable (irrigation and fertilizer) and the dependent variable (growth of Colorado blue spruce trees).
In this experiment, some confounding variables that might be present include:
Soil quality: Soil quality can affect the growth of the Colorado blue spruce trees and may differ between the moist and dry regions.
Climate: Climate, including temperature, humidity, and precipitation, can affect the growth of the trees and may differ between the two regions.
Sun exposure: The amount of sunlight the trees receive can affect their growth and may differ between the two regions.
Pest and disease pressure: The presence of pests and diseases can affect the growth of the trees and may differ between the two regions.
Genetic variability: There may be genetic variability between the Colorado blue spruce trees in the moist and dry regions, which could affect their growth.
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Determine whether the solution of each equation is positive or negative. Select Positive or Negative for each solution. -9x=36 -36 - 12 = -7b -8.2d 28.1 = 3.6d 2 (4t-5) = 6t - 18 Positive Positive Positive Positive O Negative ONegative O Negative O Negative
The solutions of the given equations are grouped into negative or positive as follows:
-9x=36= negative
-3b-12=-7b = positive
-8.2d+28.1=3.6d = positive
How to calculate the positive and negative equations?For -9x=36;The final result is a negative result because of the following;
-9x= 36
X= -36/9
X= -4
For -3b-12=-7b;The final result is a positive result because of the following;
-3b-12=-7b
-3b+7b =12
4b=12
b= 12/4= 3
-8.2d+28.1=3.6d;The final result is a positive result because of the following;
-8.2d+28.1=3.6d
28.1= 3.6d+8.2d
28.1 = 11.8d
28.1/11.8 = d
d= 2.4
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What is the value of the expression below when w = 6?
Answer:
7w+6
Submit Answer
the value of expression is 48 at w = 6.
What is an expression?Expression in math's is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given, an expression 7w + 6,
Since the value of w is given 6
Thus,
The value of Expression = 7 * 6 + 6
The value of Expression = 48
Therefore, the value of expression is 48 at w = 6.
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On the beach, 3/5 of the sand castles David and his friends were building were gigantic. 2/9 of the gigantic ones were washed away when the tide came in that evening. What fraction of the castles were washed away?
8. Teuscher is one of the best chocolates in the world with a cost of $8 per gram. Saffron is a spice
used for flavoring and coloring foods and costs $14 per gram. A party planner for a celebrity event
wants to include no more than 8 grams (g) of Teuscher Chocolate and Saffron in a gift bag. She has
to keep the cost to less than $42.
The cost of 8 grams of Teuscher Chocolate is 8 x $8 = $64. The cost of 8 grams of Saffron is 8 x $14 = $112. Therefore, the total cost of the two items combined is $64 + $112 = $176.
What is the cost ?The cost of a 100-word answer depends on what type of service or product you are requesting. If you need a professional writing service, the cost will vary depending on the complexity of the answer and the quality of the writing. If you are looking for a plagiarism-free answer, the cost will also depend on the source of the answer, as well as the complexity, length, and research involved.
Since this exceeds the $42 budget, the party planner cannot include more than 8 grams of Teuscher Chocolate and Saffron in the gift bag.
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The perimeter of a rectangle window is 352 cm. If the length of the window is 95 cm, what is its width? ADD WORK/STEPS!!
The width of the rectangle is 81 cm.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Perimeter = 352 cm
Length = 95 cm
Width = W
Now,
Perimeter = 2 (Length + Width)
352 = 2 (95 + W)
176 = 95 + W
W = 176 - 95
W = 81 cm
Thus,
The width is 81 cm.
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Draw a rough sketch of the function (x-1)(x+2)(x+5)
Answer:
Step-by-step explanation:
Zeroes of a Function:The main idea you need to understand here is multiplicity, zeroes, and end behavior.
If a function has an odd degree that means that the end behaviors will be opposite so if on the right side the polynomial is going up, then on then on the left side it's going down and vice versa.
As for multiplicity, if the multiplicity or exponent of a zero is odd then it crosses the x-axis otherwise it has a turning point meaning it touches the x-axis and just turns around.
The last thing to understand is if the polynomial has a positive leading coefficient then the graph will be going up on the right side otherwise it will be going down.
We're given the function: f(x) = (x-1)(x+2)(x+5) and if you set each factor equal to zero, you can solve for the zeroes getting: x = 1, --2, and -5 as zeroes. Since the coefficients inside the factors are all positive when we multiply this out, we would get a positive leading coefficient and since the exponent of them is all one, the degree would be 3 when multiplying out the 3 binomials.
So on the right side it's going up, the left side it's going down (since odd degree) and at each zero it crosses the x-axis since they all have an odd multiplicity. This allows us to draw a rough sketch which I have provided using paint.,
A party planner organized a dinner party. The party planner recorded the height of the candlesticks over time and graphed the relationship.
graph with the x axis labeled time in hours and the y axis labeled height of candlestick in inches and a line going from the point 0 comma 9 through the point 3 comma 7
Find and interpret the slope and y-intercept in this real-world situation.
The slope is negative two thirds, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases two thirds of an inch every hour.
The slope is negative three halves, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases three halves of an inch every hour.
The slope is 9, and the y-intercept is negative two thirds. The candle starts at a height of two thirds of an inch and decreases 9 inches every hour.
The slope is 9, and the y-intercept is negative three halves. The candle starts at a height of three halves of an inch and decreases 9 inches every hour.
The y-intercept is at (27/2 ,9) in the Slope Intercept Form .
What is a line's Slope Intercept Form?
A line with m as its slope, m as its y-intercept, and c as its coefficient makes up the graph of the linear equation y = mx + c. The values of m and c in this version of the linear equation known as the slope-intercept form are real numbers.
The graph of the line passes through (0,9) and (3,7) .
Slope of the line = (7 - 9)÷(3 - 0) = -2/3
Hence the line will have the equation:
y - 9 = -2/3 ( x - 0 )
or, y - 9 = -2x/3
or, 3y - 27 = -2x
2x + 3y = 27
Now from the real world situation at y = 0, x = 27/2
and at x = 0, y = 9
Hence the y-intercept is at (27/2 ,9)
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You are a marketing manager and need to summarize recent spending on advertisements. You have placed 2 small advertisements that cost $325 each, 5 WILL FAST!! MARK BRAINLYIST IF RIGHT ANSWER
medium-sized advertisements that cost $750 each, and 12 large advertisements that cost $1,300 each. Which expression shows how to calculate the mean cost per advertisement?
A: 325 + 750 + 1,300 / 3
B: 325 + 750 + 1,300 / 19
C: 2 X 325 + 5 X 750 + 12 X 1,300 / 3
D: 2 X 325 + 5 X 750 + 12 X 1.300 / 120
The required expression used to calculate the mean cost per advertisement is 325 + 750 + 1,300 / 3. Option A is correct.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
Mean cost of each type of advertisement
= the sum of the cost of small. medium and large advertisement / 3
= 325 + 750 + 1,300 / 3
Thus, the required expression used to calculate the mean cost per advertisement is 325 + 750 + 1,300 / 3. Option A is correct.
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A store surveyed their customers to find out their ages. The bar graph below shows the number of customers in each age group
What percent of customers surveyed were 18-24? Round your answer to one decimal place
The percentage of customers who were surveyed and were 18 - 24, would be 24 %
How to find the percentage ?To find the percentage of customers who were surveyed and were between the ages of 18 and 24, find the total number of people surveyed :
= 25 + 30 + 35 + 25 + 10
= 125 people
The percentage of surveyed customers aged 18 - 24 is therefore:
= Number of customers between 18 - 24 / Total number of customers
= 30 / 125 x 100 %
= 24 %
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Please help if you can, this is due in two days.
Note that the statement that verified that ST || to QR is the converse of the Triangle Proportionality Theorem and the ratios given in Option A.
What is the converse of the Triangle Proportionality Theorem?According to the converse of the Triangle Proportionality Theorem, If a line divides two sides of a triangle proportionally, then it is parallel to the third side.
The Theorem of Proportionality states that a line drawn parallel to one side of a triangle and cutting the other two sides splits the other two sides in equal proportion. The reverse of the Basic Proportionality Theorem - A line drawn to cut two sides of a triangle in equal proportion is parallel to the third side.
Since 4.5/7.5 = 7.5/12.5, then the converse of the Triangle proportionality theorem holds true.
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Question 3 Mutiple Choice Worth 4 points)
(05.02 MC)
Two families went to a baseball game. The first family bought 3 pretzels and 5 sodas, which totaled $23. The second family bought 4 pretzels and 6 sodas, which totaled $28. How much did one soda cost?
O $3
O$4
O $5
O $6
Answer:
B) $4--------------------------------
Let the cost of a pretzel be p and cost of a soda be s.
The first family bought 3 pretzels and 5 sodas, which totaled $23:
3p + 5s = 23The second family bought 4 pretzels and 6 sodas, which totaled $28:
4p + 6s = 28Divide the second equation by 4 to get:
p + 1.5s = 7p = 7 - 1.5sSubstitute this into first equation and solve for s:
3(7 - 1.5s) + 5s = 2321 - 4.5s + 5s = 230.5s = 23 - 210.5s = 2s = 2/0.5s = 4Cost of a soda is $4, this is option B.
Answer:
B is the answer
Step-by-step explanation:
I took the test and I got 100 percent.
Which of the following is a factor of 9x^2+21+10
Answer: 3x+5
Step-by-step explanation:
trust me i had that question for home work
qualitive or quantitive .tHE NUMBER OF CARS SOLD by a car dealer last month
To successfully escape a planet's gravity, a spaceship must achieve escape velocity. The escape velocity from planet Earth is 672 km per minute. Convert this speed to miles per hour, round your answer to the nearest whole number.
Answer:
The escape velocity from Earth is approximately 415.9 miles per hour.
College math need help
C-3 30-5
What matrix equation models the system? Fill in the missing elements in the equation.
Could someone help me? im stuck
The matrix equation that models the system is:
[2 4 0] [ 4 ]
[1 0 -1] = [-3 ]
[4 2 1] [ 7 ]
How to determine what matrix equation models the system?A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.
The number of rows of a matrix can be determined by counting from top to bottom and the number of columns can be determined by counting from left to right.
The given system of equations can be written as:
2x + 4y + 0z = 4
x + 0y -z = -3
4x + 2y + z = 7
Thus, the matrix equation can be written as:
[2 4 0] [ 4 ]
[1 0 -1] = [-3 ]
[4 2 1] [ 7 ]
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need halp with 6 & 7
The value of x is 26 and TanΘ is equals to 10 / 24
What is triangle ?
Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.
From the given triangle,
We can say that ,
Hypothenuse ^2 = base^2 + opposite^2
let the hypothenuse of given triangle be x
so,
x^2 = 10 ^2 + ^2
x ^2 = 100 + 576
x^2 = 676
x = 26
SO,
TanΘ = 10 / 24
TanΘ = 5/12
TanΘ = 0.4169
Therefore, The value of x is 26 and TanΘ = 10 / 24
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when drawn on a coordinate plane with the x-axis as the baseline, a wave with a crest that is closer to the baseline has a smaller .(1 point) responses. true or false
When drawn on a coordinate plane with the x-axis as the baseline, a wave with a crest that is closer to the baseline has a smaller
The above statement is false.
The origin, or the point where the x- and y-axes connect, is where both the x and y coordinates are zero (0, 0).
The point is located on the 2D coordinate plane in one of its four quadrants if both the x and y values are non-zero.
The intersection of two number lines creates a two-dimensional plane known as a coordinate plane. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two examples of these number lines.
A graph having one x-axis and one y-axis is referred to as a cartesian plane (also known as an X-Y graph). The orientation of these two axes is perpendicular. The graph's exact centre is marked by the origin (O).
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{100 points} Shown is the graph of a force function (in newtons) that increases to its maximum value and then remains constant. How much work W is done by the force in moving an object a distance of 8 m?
W = _______ J
The work done by the force in moving an object a distance of 8 m is; 144 J
How to solve a Force Distance Graph?A force-displacement graph will have force (in N) on the vertical axis and displacement (in m) on the horizontal axis. The area of the graph is = Fs. This quantity represents the work done on the object.
The area of the given graph is gotten by using the area of a trapezium which is;
Area = ¹/₂(sum of parallel sides) * height
Plugging in the relevant values gives;
Area = ¹/₂(8 + 4) * 24
Area = 144 J
This area represents the work done
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