A cardioid is a mathematical curve that is commonly studied in geometry and calculus. It is defined by the equation r = 1 + cos(θ), where r is the radial distance from the origin and θ is the polar angle. The cardioid has a distinctive heart-shaped form, and it is a smooth curve that can have tangent lines at certain points.
Horizontal Tangent Line:
A horizontal tangent line is a tangent line that is parallel to the x-axis. To find the points on the cardioid at which there is a horizontal tangent line, we need to find the points where the derivative of the curve is equal to zero in the x direction. The derivative of r = 1 + cos(θ) with respect to θ is -sin(θ), and the derivative of r with respect to x is cos(θ). Setting these two derivatives equal to zero, we have:
-sin(θ) = 0
cos(θ) = 0
The first equation has a solution when θ = n * π, where n is an integer. The second equation has solutions when θ = (2n + 1) * π/2, where n is an integer. When θ = n * π, the cardioid is at its maximum value, and when θ = (2n + 1) * π/2, the cardioid is at its minimum value. These points correspond to horizontal tangent lines on the cardioid.
Vertical Tangent Line:
A vertical tangent line is a tangent line that is perpendicular to the x-axis. To find the points on the cardioid at which there is a vertical tangent line, we need to find the points where the derivative of the curve is equal to zero in the y direction. The derivative of r with respect to y is sin(θ), and setting this derivative equal to zero, we have:
sin(θ) = 0
This equation has solutions when θ = (2n) * π/2, where n is an integer. These points correspond to vertical tangent lines on the cardioid.
Singular Point:
A singular point is a point on the curve at which the curve is not smooth and its tangent line is undefined. To find the singular points on the cardioid, we need to find the points where the second derivative of the curve is equal to zero. The second derivative of r = 1 + cos(θ) with respect to θ is -cos(θ), and setting this derivative equal to zero, we have:
-cos(θ) = 0
This equation has solutions when θ = n * π, where n is an integer. These points correspond to singular points on the cardioid.
In conclusion, the points on the cardioid at which there is a horizontal tangent line are given by θ = n * π and θ = (2n + 1) * π/2. The points at which there is a vertical tangent line are given by θ = (2n) * π/2. The singular points are given by θ = n * π. These points can be used to study the properties and behavior of the cardioid in more detail.
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On a map, the scale is inches Going from home to the first miles destination is 1.5 inches, and then from there to the next destination is 2.25 inches. How many miles were traveled?
Although part of your question is missing, you might be referring to this full question: On a map, the scale is inches/miles = 1/75. Going from home to the first destination is 1.5 inches, and then from there to the next destination is 2.25 inches. How many miles were travelled?
281.25 miles were travelled.
The distances travelled in inches need to be added.
1.5inches + 2.25inches = 3.75 inches
Let y be the number of miles. Thus, the proportion for the given situation is,
1/75 = 3.75/y
In the next step, it needs to be cross-multiplied,
1×y = 3.75×75
Thus,
y = 281.25
So, 281.25 miles were travelled.
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The CFO tell you that the company owner have aid that unle the quarterly operating profit exceed $15,210, they will liquidate the company. How many tile would have to be old in a quarter for Belleterre Tile to earn $15,210 in quarterly operating profit?
Note: Do not round intermediate calculation
The number of tiles that must be sold in a quarter for Belleterre Tile to earn $15,210 in quarterly operating profit is 138000 tiles .
To calculate the number of tiles needed to be sold in order to earn $15,210 in quarterly operating profit, you need to first find the unit variable cost (the cost of producing each tile),
The average variable cost per tile is = 357556/125900 = $2.84 ;
the average selling price per tile is = 463312/125900 = $3.68 ;
So , Average contribution margin per tile is = $3.68 - $2.84 = $0.84 ;
The Number of tiles to earn earn $15,210 in quarterly operating profit is calculated as : (total fixed costs + profit) / (contribution margin)
⇒ (100800+15120)/0.84
⇒ 115920/0.84 = 138000 tiles .
Therefore , to earn $15,210 in quarterly operating profit , 138000 tiles should be sold .
The given question is incomplete , the complete question is
Belleterre Tile Revenue and Costs for Third Quarter is :
Total Revenue sold : 125900 tiles ;
Total revenue : $462312 ;
Total Variable costs : 357556 ;
Total Fixed Costs : 100800 ;
The CFO tells you that the company owner have said that unless the quarterly operating profit exceeds $15210, they will liquidate the company. How many tiles would have to be sold in a quarter for Belleterre Tile to earn $15,210 in quarterly operating profit ?
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travis is mowing lawns for extra cash. he charges an initial fee of $10 and $4 per hour that he works.
is it linear or exponential
It is linear. The cost of mowing a lawn for Travis is directly proportional to the number of hours he works. For every hour he works, he charges $4 more. So the equation would be y = 4x + 10 (where y is the cost and x is the number of hours worked)
Is the relation shown in the table below a function? Explain. Input 134 3 Output 1 9 16 27
Answer:
The relation is not a function
Step-by-step explanation:
First, it's important to know that for a relation to be a function, each input can only have one output. Since the input 3 has both the output 9 and 27, the relation can not be a function.
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Have a GREAT day!!!
Sue and Don each play a game in which they cannot laugh. In th
game, a person starts with 140 points and loses 3 points for eac
laugh. If Don finishes the game with 122 points, how many time
can Sue laugh and still win or tie?
What percent of the 8th graders estimated they spend less than an hour a day on social media? Round your answer to the nearest whole number percent
Answer:
45%
Step-by-step explanation:
17 + 14 = 31 8th graders
14 divided by 31, times 100 = 45%
So, 45% of the 8th graders estimated they spend less than an hour a day on social media.
!30 POINTS!
Solve the system of equations by using the elimination method
-3x + 14y = -28
-2x + 7y= -14
Please show your work!
Answer: -6x + 21y = -42Now we can solve for y:21y = -42 + 42
y = 0Substitute y = 0 back into one of the original equations:-3x + 14(0) = -28
-3x = -28
x = 9/1So the solution to the system of equations is (x, y) = (9, 0).
Step-by-step explanation:
2. for five years, prices are increased by the following amounts: $4, $2, -$1, $2, $2. (a) ( 2) find the standard deviation of the distribution of price increases over this period. (b) ( 1) what is the modal price increase during this period?
The standard deviation of the distribution of price increases over this period is 0, and the modal price increase during this period is $2.
a) The standard deviation of the distribution of price increases over this five-year period can be calculated using the formula for the standard deviation of a population:
SD = √(Σ(x - μ)²/N)
Where x is each price increase, μ is the mean of the price increases, and N is the number of price increases.
First, we find the mean:
μ = (4 + 2 - 1 + 2 + 2) / 5 = 9/5
Next, we calculate the standard deviation:
SD = √(((4 - 9/5)^2 + (2 - 9/5)^2 + (-1 - 9/5)^2 + (2 - 9/5)^2 + (2 - 9/5)^2) / 5) = √(0 / 5)
= 0
b) The modal price increase during this period is the one that occurs most frequently. In this case, the modal price increase is $2, as it occurs thrice.
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What is 814 338/698 rounded to the nearest whole number?
The nearest whole number is 814. The value of 338/698 < 0.5
What is whole number?
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the corresponding positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.
Given mixed number is [tex]814\frac{338}{698}[/tex].
The fraction part of the mixed number is 338/698.
2 times of 338 is 676 < 698.
Thus the value of 338/698< 0.5.
It is necessary to look at the first digit following the decimal point in order to round a number to the nearest whole number. We don't need to do anything if this digit is less than 5 (1, 2, 3, 4), but we must round up if it is 5 or higher (5, 6, 7, 8, 9).
This means the decimal value of the given number is less than 814.5.
Since the digit in the tenth place is less than 5, thus the nearest whole number of the given mixed number is 814.
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I suck at geometry and guess what my homework is on. Supposed to find the perimeter of the triangle on the left and the area of the figure to the right of the triangle.
Answer:
Perimeter = 85.5cm, Area = 3163.5cm
Step-by-step explanation:
To find the perimeter of a shape, you need to add all of the sides together.
In this case, you need to add 3 sides together.
38cm + 37cm + x.
To find x, you need to subtract 81.1 from 98.7 and divide by two. (98.7 - x - x = 81.1)
(98.7 - 81.1) / 2 = 8.8.
The perimeter is: 8.8cm + 38cm + 29cm = 85.5cm
To find the area of the trapezoid (shape on the right of the triangle), you need to use the formula, (length of top + length of bottom)/2 * height.
Length of the top base: 81.1cm
Length of bottom base: 98.7 - 8.8 = 89.9cm
Height = 37
(81.1 + 89.9) / 2 * 37 = 3163.5cm
PLSSSS HELP IF YOU TURLY KNOW THISSS
Answer: x =13
Step-by-step explanation:
subtract 7 from both sides
7-7= 0
-7+20=13
x=13
Answer:
[tex] \sf \: x = 13[/tex]
Step-by-step explanation:
Given equation,
→ x + 7 = 20
Now the value of x will be,
→ x + 7 = 20
→ x = 20 - 7
→ [ x = 13 ]
Hence, the value of x is 13.
I really need help! Find P(green and odd).
The Probability P(Green and odd) for given Sample Space is 1/5.
What is probability?The likelihood of an event is expressed by probability. A random event's occurrence is the subject of this mathematical field of study. From zero to one, the value is available. In mathematics, probability is used to forecast the likelihood that events will take place.
The likelihood of something happening is referred to as a probability. The probability distribution also makes use of this basic concept in probability theory. We must first ascertain the total number of possibilities before calculating the likelihood of a specific event occurring.
Event's likelihood of occurring P(E) = The number of positive outcomes divided by the total number of outcomes
Now,
Total number of outcomes=10
No. of Box that are green and marked odd=2
Hence, the probability
P(Green and odd)=2/10=1/5
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Please help. The picture shows the question.
(a) Kenton is running 2.5 miles per day.
(b) An equation that illustrates the relationship between the day number and the total number of miles since Kenton began training is t = 2.5d
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
The table describes Kenton’s running progress during his training.
In the table, d represents the day number, and t represents the total number of miles he ran since he began training.
From the table,
In a day Kenton ran = 5/2 = 2.5 miles.
2.5 is a common difference.
(a) Kenton is running 2.5 miles per day.
(b) An equation that illustrates the relationship between the day number and the total number of miles since Kenton began training is t = 2.5d
Therefore, the equation is t = 2.5d
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Your brother Kyle sold half of his comic books and then bought sixteen new ones. Now, he has 36 comic books. Which equation represents the number of comic books Kyle has in his collection?
Answer: 40 divided by 2 (half) = 20+16 = 36
Step-by-step explanation:
Помогите решить пожалуйста..
Решите систему уравнений.
{3x-2y=36
{y+5x=-5
Answer:
Ответ:
Пошаговое объяснение:
Ответ : Пошаговое объяснение : - 1
What are the Types of Triangles in Geometry?
Answer:
isosceles, equilateral, scalene, obtuse, acute, and right triangles.
Step-by-step explanation:
isosceles, equilateral, scalene, obtuse, acute, and right triangles.
Triangles can be classified into six different shapes: right, obtuse, acute, equilateral, scalene, and isosceles. A triangle is said to be isosceles if two of its sides are congruent and one of its sides and angle is distinct.
What are the six types of triangles?A triangle is said to be isosceles if two of its sides are congruent and one of its sides and angle is distinct.With three congruent sides and three congruent angles, a triangle is said to be equilateral.Triangles without congruent sides or angles are referred to as scalene triangles.Triangles with obtuse angles are referred to as obtuse triangles.Having three acute angles defines a triangle as being acute.Having one right angle defines a triangle as being right.Scalene triangles are those with three different side lengths and three different angle measurements.In a scalene triangle, neither the sides nor the angles are equal. An angle that is exactly correct (90°) defines a triangle as being right. Having a triangle that is scalene and right means that one of its special angles is 90 degrees.To Learn more About Triangles Refer To:
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write an equation and find x
3x+1/52
Answer:
x = 1/156
Step-by-step explanation:
3x+1/52 = 0
3x = 1/52
x = 1/52/3
x = 1/156
Answer:
[tex]x=-\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{3x+1}{52} = 0[/tex]
Multiply both sides by 52, and you get:
[tex]\frac{3x+1}{52}*52\\[/tex] [tex]=3x+1[/tex]
[tex]0*52=0[/tex]
So, [tex]3x+1=0[/tex]
[tex]3x+1=0[/tex]
[tex]-1[/tex] [tex]-1[/tex]
[tex]3x=-1[/tex]
Divide both sides by 3:
3x/3 = x
-1/3 = -1/3
[tex]x=-\frac{1}{3}[/tex]
Write down the percentage multiplier to find 26% of an amount
pls do simple steps/working out :)
Percentage multiplier calculates the percentage of an amount. It is also used to increase or decrease an amount by a percentage.
In order to find the percentage multiplier of 26% of an amount we can multiply the number by a multiplier.
26% = [tex]\frac{26}{100}[/tex] = 0.26
Hence, 0.26 is the multiplier.
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What is the solution of second order differential equation?
The second order differential equation:-
[tex]\frac{d^2y}{dx^2}+P(x)\frac{dy}{dx}+Q(x)y[/tex].
Now, According to the question:
A differential equation is an equation that consists of a function and its derivative. A differential equation that consists of a function and its second-order derivative is called a second order differential equation. Mathematically, it is written as y'' + p(x)y' + q(x)y = f(x), which is a non-homogeneous second order differential equation if f(x) is not equal to the zero function and p(x), q(x) are functions of x. It can also be written as F(x, y, y', y'') = 0. Further, let us explore the definitions of the different types of the second order differential equation.
Hence, The second order differential equation.
[tex]\frac{d^2y}{dx^2}+P(x)\frac{dy}{dx}+Q(x)y[/tex].
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Answer asap
This figure is a part of a circle and a part of a square
What is the perimeter of this figure, to the nearest unit?
What is the area of this figure, to the nearest square unit?
Answer with explanation and correction=brainliest
Answer:
A) The perimeter of the figure is 19 units (nearest unit).
B) The area of the figure is 23 square units (nearest square unit).
Step-by-step explanation:
Part AThe given figure is part of a circle and part of a square.
From inspection of the diagram, the circular part is a quarter circle.
Therefore, the length of the curved part of the figure is a quarter of the circumference of a circle (with radius 3 units).
[tex]\boxed{\begin{aligned}\textsf{Circumference of a circle}&=2 \pi r\\\\\implies \textsf{Circumference of a $\frac{1}{4}$ circle}&=\dfrac{1}{4} \cdot 2 \pi r\\\\&=\dfrac{1}{2}\pi r\end{aligned}}[/tex]
The perimeter of the figure is the sum of the length of the curved part and the measures of the straight edges.
[tex]\begin{aligned}\textsf{Perimeter}&=\dfrac{1}{2} \pi \cdot 3+2 \cdot 2+2 \cdot 5\\&=\dfrac{3}{2}\pi+4+10\\&=18.7123889...\\&=19\; \sf units\end{aligned}[/tex]
Therefore, the perimeter of the figure is 19 units to the nearest unit.
Part BThe area of the curved part of the figure is a quarter of the area of a circle (with radius 3 units).
[tex]\boxed{\begin{aligned}\textsf{Area of a circle}&=\pi r^2\\\\\implies \textsf{Area of a $\frac{1}{4}$ circle}&=\dfrac{1}{4} \pi r^2\end{aligned}}[/tex]
The area of the part of a square can be separated into two rectangles (see attachment). The area of a rectangle is the product of its width and length.
The area of the figure is the sum of the area of the curved part and the two rectangles.
[tex]\begin{aligned}\textsf{Area}&=\dfrac{1}{4}\pi \cdot 3^2+3 \cdot 2+2 \cdot 5\\&=\dfrac{1}{4}\pi \cdot 9+6+10\\&=\dfrac{9}{4}\pi +6+10\\&=23.0685834...\\&=23\; \sf square\;units\end{aligned}[/tex]
Therefore, the area of the figure is 23 square units to the nearest square unit.
The perimeter of the figure, which is part circle and part square, can be found to be 18. 71 units.
The area of the figure would be 23. 07 units ².
How to find the perimeter ?The perimeter is the distance around the shape so we can add up the sides given and then find out the missing dimensions around the quarter circle.
The distance of that quarter circle is:
= ( Pi x Diameter ) / 4 quarters
= ( π x ( 3 + 3 )) / 4
= 4. 71 units
The perimeter then is:
= 2 + 5 + 5 + 2 + 4. 71
= 18. 71 units
How to find the area ?To find the area, you can divide the figure into three shapes which would be two rectangles and one quarter circle.
The area of the rectangles would be:
= Length x Width = 5 x 2
= 3 x 2 = 10 units ²
= 6 units ²
The area of the quarter circle would be:
= ( π x radius ² ) / 4
= ( π x 3 ² ) / 4
= 7. 07 units ²
Sum them all up:
= 6 + 10 + 7. 07
= 23. 07 units ²
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What is the missing letter in this sequence?g w m t _ q yOptions: n, u, s or v
The missing letter in this sequence is s.
The term called sequence in math of defined as as an arrangement of numbers in a particular order.
Here we know the following sequence from the question that can be written as,
g w m t _ q y
And we need to find the missing term in it.
When we number the alphabets then we get the the value for
=> g = 7
=> w = 23
=> m = 13
=> t = 20
Here the rule has been used is written as,
=> 7 x (n) + 6
where n refers the position of the letter.
Then the missing letter is calculated as,
=> 19.
Therefore option c is correct.
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Find the inverse of the given functions PLEASE HELP ME
y = x^2 - 6
Answer:
[tex]f^{-1}(x)=\sqrt{x+6}[/tex]
Step-by-step explanation:
To find the inverse of a function you have to exchange the variables, the "x" become "y" and vice versa.
After doing that you must leave the y-value on the left side of the equation.
[tex]y = x^2 - 6\\\\x=y^2-6\\\\x+6=y^2\\\\y^2=x+6\\\\\sqrt{y^2}=\sqrt{x+6} \\\\y=\sqrt{x+6} \\\\f^{-1}(x)=\sqrt{x+6}[/tex]
Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio.
A(-7,-5), B(-2, 0) ; 1 to 4
Answer:
P = (-6, 4)
Step-by-step explanation:
A = (x1,y1) = (-7,5)
B = (x2,y2) = (-2,0)
m:n = 1:4
P = (x, y)
= ( mx2 + nx1/ m + n , my2 + ny1/ m + n )
= ( 1(-2) + 4(-7)/1+4 , 1(0) + 4(5)/ 1+4 )
= ( -2 - 28 / 5 , 20 / 5 )
= ( - 30 / 5 , 4 )
= ( -6 , 4)
P = (-6, 4)
What is the solution set for this system of equations?
3x + y = 0
x − 6y = 19
please helpppp
================================================
Work Shown:
Solve the first equation for y.
3x+y = 0
y = -3x
Then substitute that into the other equation to solve for x.
x-6y = 19
x-6(-3x) = 19
x+18x = 19
19x = 19
x = 19/19
x = 1
Once we determine x, we can determine y.
3x+y = 0
3*1+y = 0
3+y = 0
y = -3
Or you could say:
x-6y = 19
1-6y = 19
-6y = 19-1
-6y = 18
y = 18/(-6)
y = -3
-------------
In summary we get x = 1 and y = -3 pairing up together.
The ordered pair solution is (x,y) = (1, -3)
To confirm the answer, plug the coordinates back into the original equations. Simplify both sides. You should get the same thing on both sides. I'll let you do these confirmation steps.
Visually you can use something like Desmos or GeoGebra to note that the two lines intersect at (1, -3)
Given:-
3x + y = 0 ---- eqⁿ ( 1 )x - 6y = 19 ---- eqⁿ ( 2 )Multiply the given eqⁿ ( 1 ) to 6
6 ( 3x + y = 0 )18x + 6y = 0 ---- eqⁿ ( 3 )now , add the eqⁿ ( 3 ) to eqⁿ ( 2 )
18x + 6y = 0
x - 6y = 19
————————
19x = 19
x = 19/19
x = 1
now , put the value of x = 1 in eqⁿ ( 1 )
3x + y = 03( 1 ) + y = 0 3 + y = 0 y = 0-3 y = -3━━━━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
What is the image of ( − 8 , − 12 ) after a dilation by a scale factor of 1 4 centered at the origin?
The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
What is dilation?An object can grow in size while preserving its shape through a process called dilation. The object's size can go up or down depending on the scale factor. The scale factor is defined as the ratio of the new image's size to the old image's size. decision-making. A dilation in mathematics is a function f from a metric space M into itself that fulfills the formula d=rd for all locations x, y in M, where d is the distance between x and y and r is some positive real number. A resemblance of the space exists in Euclidean space when a dilation like this occurs.Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.
The image of the dilated point will be:-
x : - 8 ⇒ 8 / 4 = 2
y : - 12 ⇒ 12 / 4 = 3
Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
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someone please answer this
(I attached an image with the question)
Answer:
A
Step-by-step explanation:
Group like-terms, that is move the numbers to one side of the sign.
Then, divide both sides by 2
HELP ASAP (40 points if correct)
How many solutions does the system of linear equations represented in the graph have?
A. One solution at (−2, 0)
B. One solution at (0, −2)
C. Infinitely many solutions
D. No solution
The equation has one solution at (0, -2) for the system of linear equations represented in the graph.
What is the Solution to a Linear Equation?The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. In other words, the set of all possible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.
Given the graph,
and the line passes from (0, -2) and (4, 0)
since the line passes from (0, -2) and (4, 0),
so one of the solutions is at (0, -2),
and another solution is at (4, 0).
according to the options equation has (0, -2) as one of the solutions.
Hence option B is correct.
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Write a recurive rule for the equence. Then write the next two term of the equence. For 1,3,4,7,11
The recursive rule for the given sequence 1, 3, 4, 7, 11 ... is aₙ₊₁ = aₙ + aₙ₋₁.
The next two term of the sequence 1, 3, 4, 7, 11, is equal to 18 , 29.
Recursive rule for the sequence 1, 3, 4, 7, 11, ...... is represented by :
Let us consider before 1 it is 0.
Next term is sum of previous two terms :
0 + 1 = 1
1 + 3 = 4
3 + 4 = 7
4 + 7 = 11
Recursive rule for the given sequence is equal to :
3rd = 2nd + 1st term
4th term = 3rd term + 2nd term .....
aₙ₊₁ = aₙ + aₙ₋₁
Next two terms for the above sequence is equal to:
7 + 11 = 18
11 + 18 = 29
Therefore, the recursive formula to represents the sequence 1, 3, 4, 7, 11 is equal to aₙ₊₁ = aₙ + aₙ₋₁ and next two terms are 18, and 29.
The above question is incomplete, the complete question is:
Write a recursive rule for the sequence. Then write the next two term of the sequence. For 1,3,4,7,11
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what is the maximun of number of people who can stand in each side of the boat
The maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.
The maximum number of people who can stand in each side of a boat can be determined using Archimedes' Principle. This principle states that the buoyant force on an object is equal to the weight of the fluid it displaces. In the case of a boat, the buoyant force is equal to the weight of the water it displaces.
Using this principle, the maximum number of people who can stand in each side of a boat can be calculated using the equation:
F_B = m_p * g
Where F_B is the buoyant force, m_p is the total mass of all the people standing in the boat, and g is the acceleration due to gravity.
To determine the maximum number of people, we must first calculate the mass of the boat, m_b. We can do this by multiplying the volume of the boat (V) by the density of the material the boat is made of (ρ).
m_b = V * ρ
Next, we can calculate the total mass of all the people standing in the boat, m_p. This can be calculated by multiplying the total number of people (n) by the average mass of a person (m).
m_p = n * m
Finally, we can calculate the maximum number of people who can stand in each side of the boat by rearranging the equation for F_B and solving for n.
n = (F_B) / (m * g)
Therefore, the maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.
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Write this as a fraction and write it in simplest form 4/9-5/7(2/3x2/3) and the one who gets right gets 20 points
The expression (4/9) - (5/7)[(2/3) x (2/3)] in the simplified form will be 8/63.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ (4/9) - (5/7)[(2/3) x (2/3)]
Simplify the expression, then we have
⇒ (4/9) - (5/7)[(2/3) x (2/3)]
⇒ (4/9) - (5/7)(4/9)
⇒ (4/9) - (20/63)
⇒ (28 - 20) / 63
⇒ 8 / 63
The expression (4/9) - (5/7)[(2/3) x (2/3)] in the simplified form will be 8/63.
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