Answer:
b) 153.86 m^2
Step-by-step explanation:
Area=Pi x R^2
Area=3.14 X 7^2
Area=3.14 x 49
Area=153.86
d. 38.47 \(m^{2}\)
circumference is 21.99114858.
diameter is 7.000000002.
radius is 3.500000001.
area is 38.48451003.
Hope I helped you!Succes!
William is throwing a party for his math class and decides to visit Jones Pi Bakery. There, cupcakes cost $2 and Pies cost $7.50. William bought a total of 20 items. In all, he spent $73. How many cupcakes did William purchased?
Answer: Just time 2 x 73 and you will get 146
Step-by-step explanation:
Can you please simplify this? And show the working out too? Thanks.
How do you find the missing value of x in a triangle?
To find the missing value of x in a triangle, subtract the sum of the two angles from 180 degrees.
How to illustrate the triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Having three edges and three vertices, a triangle is a polygon. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C.
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
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ill follow and give branliest and rate 5 stars and give a like if anyone gets it right
How many different solutions
are there to the letter sum on the right?
Different letters stand for different digits, and
no number begins with a zero.
JMC
+ JMO
--------
SUMS
Answer:
There are two solutions
Step-by-step explanation:
Hope this helps! ;)
true or false. if false out correct answer please
∛-8 does not reduce to 2∛2. The statement given is FALSE
Solving rational expressionsRational expressions are square root of integers. The integers are mainly whole numbers.
Given the rational expression ∛-8
This can be further simplified as
∛-8 = ∛-2*-2*-2
Since the cube root of a number is the number that can be multiplied together thrice to give the value inside the root. Hence:
∛-8 = -2 since (-2)³ = -8.
Hence we can conclude that the equation is false and ∛-8 does not reduce to 2∛2
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Use Euclid's first book to prove what specific quadrilaterals are produced by perpendicular, unequal, bisecting diagonals.
By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.
According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.
1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.
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MATH EXPERTS:
Solve for x !!
Answer: x = -2 or 9
Explanation:
(x + 2)(x - 9) = 0
x + 2 = 0
or
x - 9 = 0
Therefore, x = -2 or 9.
Sorry for the late response, hope this helps! :D
a ship is 45 miles east and 30 miles south of port. the captain wants to sail directly to port. what bearing should be taken?
Bearing should be N 56.31° W.
Define tangent.The straight line that "just touches" the curve at a given location is referred to as the tangent line to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together. A tangent is a line that, although not crossing it, touches the edge of a curve or circle at one point. The instantaneous rate of change of the specified function at a point is represented by the tangent. The derivative of the function at a given position is equal to the slope of the tangent at that location. A function with the equation y = f x has a tangent slope of d y d x.
Given,
tan ∅ = opposite/adjacent
tan∅ = 45/30
tan ∅ = 1.5
∅ = arctan 1.5
N 56.31° W
Bearing should be N 56.31° W.
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62.4g of sugar is needed to make 8 cakes. How much sugar is needed for 9 cakes?
Answer:
7.8 for 1 cake so add that to your total
Step-by-step explanation:
This morning the temperature was -5 °F. How much must the temperature change to reach 0 °F?
Answer:
5°
Step-by-step explanation:
because: -5°+5°=0° I think
Answer:
5 degrees
Step-by-step explanation:
-5+5=0
which expression is equivalent to (3x^2)^6
Answer:
x4
Step-by-step explanation:
simplify the equation so that you are only left with the variable and a number(or a less longer equation)
Answer:
x^4
Step-by-step explanation:
(3*√x^2)^6
((3*√x^2)^3)^2
(x^2)^2
x^4
i hope it is helpful
Factsss i be scared as hell to be in front of the classroom but when we at a dance or we go out to party...we be doin all kinds of crazy shii
Answer:
that do be true tho
Step-by-step explanation:
Answer:
shii, I can throw it back and still have straight A's
Step-by-step explanation:
best of both worlds...
A concave shaving mirror has a radius of curvature of +31.5 cm. It is positioned so that the (upright) image of a man's face is 3.40 times the size of the face. How far is the mirror from the face? Number i Units
The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.
Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40
We know that the formula for magnification is given by:
m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :
f = r/2where,f = focal length of the mirror
Using the mirror formula:1/f = 1/v - 1/u
We know that a concave mirror has a positive focal length, so we can replace f with r/2.
We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u
Also, from the given data, we have :m = v/u
Substituting the value of v/u in terms of m, we get: u/v = 1/m
So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u
Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm
Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.
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6 + 4y = Y-6
hurry please giving 15 points
Answer:
y= -4
Step-by-step explanation:
Simplify (−8 + 8i) − (5 + 4i)
Answer: 13 + 12i
Step-by-step explanation:
Answer:
-13+4i
Step-by-step explanation:
(-8+8i)-(5+4i)
(-8+8i)-5-4i
-8+8i-5-4i
-8-5+8i-4i
-13+4i
through research of users, becky found that 70% of season ticket holders lived within 30 miles of the stadium and 40% lived within three different counties. these descriptors would best be classified as
These descriptors can be classified as a geographic distribution, expressed mathematically as a percentage of the total population living within a certain radius or certain counties.
These descriptors can best be classified as a geographic distribution. Specifically, the 70% of season ticket holders within 30 miles of the stadium can be expressed mathematically as a percentage of the total population living within that radius. The equation for this would be:
P = (70/100) * T
Where P is the percentage of the total population living within 30 miles of the stadium, and T is the total population within that radius.
The 40% of season ticket holders living within three different counties can also be expressed mathematically as a percentage of the total population living within those counties. The equation for this would be:
P = (40/100) * T
Where P is the percentage of the total population living within the three counties, and T is the total population within those counties.
Therefore, these descriptors can be classified as a geographic distribution, expressed mathematically as a percentage of the total population living within a certain radius or certain counties.
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PLEASE HELP ME I'M BEHIND ON MY MATH AND I CAN'T FIND ANY ANSWERS!!! :(
Two banks offer to loan you money for a big purchase. How would you use your knowledge of simple interest to determine which loan to choose for this purchase?
(20 points)
(Written Response)
( E d g e n u i t y 2021)
(Mathematics 7 A)
(Journal Activity JAN 05.)
** Please answer to this if you did it already did this assignment already..! I'm behind on my math and I can't find any thing to help me out! **
Answer:
you would see which bank has a good business and have loyal customers and which one is giving you a better offer
Step-by-step explanation:
HOPE THIS HELPED!
Answer:
e.
Step-by-step explanation:
A bubble originating at the bottom of a lake rises to the surface within 10.0 seconds with an acceleration of 10.0 meters/second2. what is the depth of the lake? a. 100 meters b. 200 meters c. 300 meters d. 400 meters e. 500 meters
The depth of the lake is 500 meters.
According to the question
Acceleration = 10 m/s²
Time = 10 sec
Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.
The distance covered in a certain time of accelerated motion:
D = (1/2) × A × T²
Distance covered= (1/2) (Acceleration) (Time squared) .
The question gives us the acceleration and the time.
Let's plug them into the formula.
Distance = (1/2) (10 m/s²) (10 sec)²
= (5 m/s²) (100 sec²)
= 500 meters.
The depth of the lake is 500 meters.
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how many apples would be left?
Hello!
Lets tackle each section separately!
So Robin gives the first group \(\frac{1}{8}\) of the apples.
To find how many apples that is in standard form, we divide 40 by 8.
40 ÷ 8 = 5.
So the first group ate 5 apples.
The second group ate 4 apples.
We do not have to calculate anything since it is already in standard form.
The third group ate 20% of the apples.
To find 20% of forty we can multiply 40 by 0.20, since 0.20 is the decimal equivalent of 20%.
40 × 0.20 = 8.
The last group of children ate 8 apples.
Now we add each groups apple intake together.
5 + 4 + 8 = 17.
Finally, we subtract 17 from 40.
40 - 17 = 23.
There were 23 apples left.
waffletowne
which company offers the best deal?why?
Answer:
where question?
Step-by-step explanation:
i dont know the question it cant be solve
Answer:
I don't see the question. it cannot be solved
A carnival has a duck-pond booth. You choose a rubber duck at random. The mark on the bottom of the duck tells you whether you won a small, medium, or large prize, or no prize at all. There are 56 ducks floating in the pond. There are 5 ducks marked as large-prize winners, 10 ducks marked as medium-prize winners, and 20 ducks marked as small-prize winners. Find the theoretical probability of winning a small prize at the duck pond. Express your answer as a percent. If necessary, round your answer to the nearest thousandth.
35.714%
62.5%
280%
64.286%
The probability helps us to know the chances of an event occurring. The probability of winning a small prize in the carnival is 35.714%.
What is Probability?The probability helps us to know the chances of an event occurring.
\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)
Given that there is a total of 56 ducks floating in the pond, out of which 20 ducks are marked as small-prize winners. Therefore, the probability of winning a small price can be written as:
\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\\\rm Probability=\dfrac{\text{Nnmber of small price ducks}}{\text{Total number of ducks}}\\\\\\Probability = \dfrac{20}{56} = 0.35714 = 35.714\%\)
Hence, the probability of winning a small prize in the carnival is 35.714%.
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use part 1 of the fundamental theorem of calculus to find the derivative of the function. G (x) =∫4x cos (√5t)dt
G′(x)=
The derivative of G(x) with respect to x, G'(x), is equal to the integrand function g(x): G'(x) = 4x cos(√5x).
To find the derivative of the function G(x) = ∫(4x) cos(√5t) dt, we can apply Part 1 of the Fundamental Theorem of Calculus.
Fundamental Theorem of Calculus states that, if f(t) is a continuous function on the interval [a, x], where a is a constant, and F(x) is the antiderivative of f(x) on [a, x], then the derivative of the integral ∫[a,x] f(t) dt with respect to x is equal to f(x).
In this case, let's consider F(x) as the antiderivative of the integrand function g(t) = 4x cos(√5t) with respect to t. To find F(x), we need to integrate g(t) with respect to t:
F(x) = ∫ g(t) dt
= ∫ (4x) cos(√5t) dt
To find the derivative G'(x), we differentiate F(x) with respect to x:
G'(x) = d/dx [F(x)]
Now, we need to apply the chain rule since the upper limit of the integral is x and we are differentiating with respect to x. The chain rule states that if F(x) = ∫[a, g(x)] f(t) dt, then dF(x)/dx = f(g(x)) * g'(x).
Let's differentiate F(x) using the chain rule:
G'(x) = d/dx [F(x)]
= d/dx ∫[a, x] g(t) dt
= g(x) * d/dx (x)
= g(x) * 1
= g(x)
Therefore, the derivative of G(x) with respect to x, G'(x), is equal to the integrand function g(x):
G'(x) = 4x cos(√5x)
So, G'(x) = 4x cos(√5x).
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Which graph represents the equation y=1/2x-2
Consider all right circular cylinders for which the sum of the height and circumference is 60 cm. What is the radius of the one with maximum volume?.
By using the concept of maxima, it can be calculated that
Volume is maximum if the radius of the cone is 40 cm
What is maxima of a function?
Maxima of a function gives the maximum value of the function on a certain interval or on the whole domain.
Let the height of the cylinder be h and radius be r
Sum of height and circumference = h + 2πr
By the problem,
h + 2πr = 60
h = 60 -2πr
Volume(V) = π\(r^2\) h
= π\(r^2\)(60 - r)
= 60π\(r^2\) - π\(r^3\)
\(\frac{dV}{dr} = 120\pi r - 3 \pi r^2\)
For maximum volume
\(\frac{dV}{dr} = 0\)
\(120\pi r - 3 \pi r^2 = 0\\\)
\(3 r^2 = 120 r\\3r = 120 [r \neq 0]\\r = \frac{120}{3}\\r = 40 \ cm\)
\(\frac{d^2V}{dr^2} = 120 \pi - 6 \pi r\\\)
Putting r = 40
\(\frac{d^2V}{dr^2} = 120 \pi - 6 \pi \times 40\\\frac{d^2V}{dr^2} =120\pi - 240 \pi\\\frac{d^2V}{dr^2} = -120\pi < 0\)
Hence Volume is maximum
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Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it.
lim cos(x)/(1 − sin(x))
x → (π/2)+
To find the limit of cos(x)/(1-sin(x)) as x approaches (π/2)+, we can use l'Hospital's Rule.
First, we can take the derivative of both the numerator and denominator with respect to x: lim cos(x)/(1 − sin(x)) x → (π/2)+ = lim [-sin(x)/(cos(x))] / [-cos(x)] x → (π/2)+ = lim sin(x) / [cos(x) * cos(x)] x → (π/2)+
Now, plugging in (π/2)+ for x, we get: lim sin(π/2) / [cos(π/2) * cos(π/2)] x → (π/2)+ = 1 / (0 * 0) = undefined
Since the denominator approaches 0 as x approaches (π/2)+, and the numerator is bounded between -1 and 1, the limit does not exist.
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test scores find the percentile rank for each test score in the data set. 12, 28, 35, 42, 47, 49, 50 what value corresponds to the 60th percentile?
The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.
Given that,
For each test score in the data set, the percentile rank is determined. 12, 28, 35, 42, 47, 49,
We have to find what number represents the 60% of the population.
We know that,
So,
Percentile rank =[(Number of values below x)+0.5]/ total number of values × 100
For 12,
Percentile rank = [0 +0.5]/7×100
= 7th
For 28,
Percentile rank = [1 +0.5]/7×100
= 21st
For 35,
Percentile rank = [2 +0.5]/7×100
= 36th
For 42,
Percentile rank = [3 +0.5]/7×100
= 50th
For 47,
Percentile rank = [4 +0.5]/7×100
= 64th
For 49,
Percentile rank = [5 +0.5]/7×100
= 79th
For 50,
Percentile rank = [6 +0.5]/7×100
= 93rd
Now,
n = 7
60th percentile = 60% of n
So,
60% of n = 60/100×7
= 0.6×7
= 4.2
Therefore, The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.
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E.) You're bicycle is at home and all those cheeseburgers you've been eating has made you terribly out of shape. You decide that you'll take a taxi to deliver the bad news about Loki. Assuming that a taxi costs 20 cents per tenth of a mile, how much money will you save by going to the closer superhero? Answer and show your work on the back.
Next, you’re going to research the author. Write down notes that target specific facts about Cisneros in the box below. Your notes should be helpful in understanding her biases, experiences, and knowledge. List three well-developed ideas as opposed to three simple facts in the light blue area of the box (that will be four ideas including my sample for an “A” grade). Be sure you are not copying and pasting from a website and that your words are your own. Cite your sources by putting the author’s last name or the title of the website if there is not an author. I have an example as a model.
Sandra Cisneros was born 1954 in Chicago, USA making her 49 years old, thus she was writing about the 1960-90’s. She writes all different styles of pieces most of which are for pre-teens and teens, but she also writes for adults. She has won a lot of different writing awards throughout her life (Cisnero).
Step-by-step explanation:
find the equation of the line
y=mx+b
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{(-7)}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{(-2)}}} \implies \cfrac{3 +7}{8 +2} \implies \cfrac{ 10 }{ 10 } \implies 1\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{ 1}(x-\stackrel{x_1}{(-2)}) \implies y +7 = 1 ( x +2) \\\\\\ y+7=x+2\implies {\Large \begin{array}{llll} y=x-5 \end{array}}\)
Use the simplex algorithm to find the optimal solution to the following LP (solve manually): maxz= 36x1+30x2−3x3−4x4
s.t. x1+x2−x3≤5
6x1+5x2−x4≤10
∀xi≥0
The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.
maximize: z = c1x1 + c2x2 + ... + cnxn
subject to
a11x1 + a12x2 + ... + a1nxn ≤ b1
a21x1 + a22x2 + ... + a2nxn ≤ b2
am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i
In our case,
the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x
subject to:
x1 + x2 - x3 ≤ 5
6x1 + 5x2 - x4 ≤ 10
xi ≥ 0 for all i
We can rewrite the constraints as follows:
x1 + x2 - x3 + x5 = 5 (adding slack variable x5)
6x1 + 5x2 - x4 + x6 = 10 (adding slack variable x6)
Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:
x1 = x7
x2 = x8
x3 = x9
x4 = x10
The objective function becomes:
z = 36x7 + 30x8 - 3x9 - 4x10
Now we have the problem in standard form as:
maximize: z = 36x7 + 30x8 - 3x9 - 4x10
subject to:
x7 + x8 - x9 + x5 = 5
6x7 + 5x8 - x10 + x6 = 10
xi ≥ 0 for all i
To apply the simplex algorithm, we initialize the simplex tableau as follows:
| Cj | x5 | x6 | x7 | x8 | x9 | x10 | RHS |
---------------------------------------------------------------------------
z | 0 | 0 | 0 | 36 | 30 | -3 | -4 | 0 |
---------------------------------------------------------------------------
x5| 0 | 1 | 0 | 1 | 1 | -1 | 0 | 5 |
---------------------------------------------------------------------------
x6| 0 | 0 | 1 | 6 | 5 | 0 | -1 | 10 |
---------------------------------------------------------------------------
Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:
Iteration 1:
1. Choose the most negative coefficient in the 'z' row, which is -4.
2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).
3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.
Ratios: 5/0 = undefined, 10/(-4) = -2.5
4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.
5. Perform row operations to
make all other elements in the pivot column zero.
After performing these steps, we get the updated simplex tableau:
| Cj | x5 | x6 | x7 | x8 | x9 | x10 | RHS |
---------------------------------------------------------------------------
z | 0 | 0 | 0.4 | 36 | 30 | -3 | 0 | 12 |
---------------------------------------------------------------------------
x5| 0 | 1 | -0.2 | 1 | 1 | -1 | 0 | 5 |
---------------------------------------------------------------------------
x10| 0 | 0 | 0.2 | 1.2 | 1 | 0 | 1 | 2.5 |
---------------------------------------------------------------------------
Iteration 2:
1. Choose the most negative coefficient in the 'z' row, which is -3.
2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).
3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.
Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5
4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.
5. Perform row operations to make all other elements in the pivot column zero.
After performing these steps, we get the updated simplex tableau:
| Cj | x5 | x6 | x7 | x8 | x9 | x10 | RHS |
---------------------------------------------------------------------------
z | 0 | 0 | 0.8 | 34 | 30 | 0 | 4 | 0 |
---------------------------------------------------------------------------
x5| 0 | 1 | -0.4 | 0.6 | 1 | 5 | -2 | 10 |
---------------------------------------------------------------------------
x9| 0 | 0 | 1 | 6 | 5 | 0 | -5 | 12.5 |
---------------------------------------------------------------------------
Iteration 3:
No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:
z = 0
x1 = x7 = 0
x2 = x8 = 10
x3 = x9 = 0
x4 = x10 = 0
x5 = 10
x6 = 0
Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.
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Choose the mixed number that is equivalent to $ 1.32.
1 32 /100
3 12/100
1 32/10
32/100
Answer:
1.32/100
Step-by-step explanation:
Address input parameters and values. Input parameters and values: The decimal number = 1.32Write it as a fraction ; 1.32/1Multiply 100 to both numerator and denominator(1.32×100)/(1×100) = 132/100
It can be written as 132%= 132/100 or 132/100
4. To simplify 132/100 to its lowest terms, find LCM for the 132 and 100
4 is LCM for 132 and 100.
5. Divide numerator and denominator by 4
132/100=(132/4)/(100/4)=33/25.
33/25 is a simplest fraction for the decimal point number 1.32.
Answer:
132/100
Step-by-step explanation:
When you multiply by 10,100,1000.... you add zero. For example:132×10=1320 132×100=13200When you devide by 10,100,1000 you decrease the number starting from the right to left. For example: 132/10=13,2 132/100=1,32. NOTE it depends on the number of zeros.