Advantages of using a permutation as in problem 1 include increased efficiency and simplicity, while disadvantages include reduced flexibility and a potential loss of information.
Permutations are mathematical operations that rearrange elements in a list or sequence, and there are different ways to define and generate permutations. A permutation specified in problem 1 may have certain desirable properties, such as being easy to compute, having low computational complexity, or having a simple mathematical form.
These advantages, however, can also be disadvantages if they limit the ability to capture more complex or subtle relationships between elements, or if they prevent the use of other methods that may be more appropriate for a particular application. Therefore, the choice of a specific permutation method depends on the requirements of the problem and the available computational resources.
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the product of -8 and a number at most 50
The product of (-8) and a number at most 50 will be
50 * (-8) = -400
What is Multiplication ?Mathematicians use multiplication to calculate the sum of two or more numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.
Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The components in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the result is the number 54.
a mathematical operation that accepts two integers and outputs a result that is equal to the sum of a column that has one of the values repeated the same amount of times as the other number. Eight times three equals the total of eight times eight.
The product of (-8) and a number at most 50 will be
50 * (-8) = -400
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Determine the 4-day SMA for the ten consecutive trading day closing
prices for International Business Machines Corp listed below.
$121.69, $122.85, $120.70, $123.61, $123.18
$122.03, $122.82, $124.14, $124.92, $124.06
The 4-day SMA for International Business Machines Corp is $122.928.
What is trading?Trading is the process of buying and selling goods or services in exchange for money. It involves the transfer of ownership of an asset in return for a payment. Trading is the backbone of the global economy, and it has been around for centuries. It involves a wide range of activities including buying and selling stocks, currencies, commodities, and other financial instruments. Trading can be done both offline and online in today's world, and requires a significant amount of knowledge and experience to be successful.
The 4-Day Simple Moving Average (SMA) for International Business Machines Corp is calculated as follows:
($122.85 + $120.70 + $123.61 + $123.18 + $122.03 + $122.82 + $124.14 + $124.92 + $124.06 + $121.69) / 10 = $122.928
Therefore, the 4-day SMA for International Business Machines Corp is $122.928.
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Leon has a container filled with 450 grams of tea leaves. Each morning, he uses 3 grams to make a cup of tea.
Which expression can be used to represent the amount of tea leaves remaining after x days?
450 – 3x
Answer:
The expression 450 – 3x can be used to represent the amount of tea leaves remaining after x days.
Each day, Leon uses 3 grams of tea leaves to make a cup of tea. Therefore, the amount of tea leaves remaining can be calculated by subtracting the amount used each day from the initial amount of tea leaves.
450 (initial amount of tea leaves) - 3x (amount used each day) = remaining amount of tea leaves after x days.
Therefore, the expression 450 – 3x can be used to represent the amount of tea leaves remaining after x days.
Step-by-step explanation:
Hope this helps!
b) The average of the marks obtained by Abdul and Mariya in Maths is 56.
If the marks obtained by Hari is also included, the average is 60. Find the
marks obtained by Hari.
Answer:
68
Step-by-step explanation:
abdul＋mariya/2＝56
total abdul ＋ mariya ＝56*2＝112
112＋hari/3＝60
total 3 person＝60*3＝180
hari ＝180-112＝68
pls give brainliest if correct
x^(2)-7x+c=(x+a)^(2)
Answer:
This equation is a difference of squares factorization. It states that the difference between the square of x and 7x plus some constant c is equal to the square of (x+a). To solve for a and c, we can expand both sides of the equation:
X^(2) - 7x + c = x^(2) + 2ax + a^(2)
And we can set them equal to each other and solve for a and c:
x^(2) - 7x + c = x^(2) + 2ax + a^(2)
-2ax - a^(2) = -7x + c
a = (7x - c) / 2x
c = x^(2) - 7x + a^(2)
Note that this is valid as long as x is not equal to 0.
y=x+3+2
whats the answer
Answer:
m=1
Step-by-step explanation:
A couple buy a houe for 200,000. The value of the houe appreciate at 7% per year. Which equation model thi ituation?
The equation models "Value of the house = 200,000 * (1 + 0.07t)" is properly representing the condition given.
Let's call the number of years passed "t".
The value of the house after t years is given by the equation:
Value of the house = 200,000 * (1 + 0.07t)
This equation models the situation where the value of the house increases by 7% each year, starting from 200,000.
A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.
Ax+By=C is the typical form for linear equations in two variables. 2x+3y=5, for example, is a simple linear equation. It is rather simple to get both intercepts when an equation is stated in this way (x and y).
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What is 5 ÷ 3/7 Give your answer as an integer or as a fraction in its lowest terms.
Answer:
11 2/3
Step-by-step explanation:
5 ÷ 3/7
When dividing with fractions, we use copy dot flip.
Copy the first number
5
Then change division to multiplication.
5 *
Then use the reciprocal of the last number.
5 * 7/3
35/3
Change the improper fraction to a mixed number.
11 2/3
A circle with radius 1-inch rolls without slipping along the sides of a right triangle whose side lengths are 3 inches, 4 inches, and 5 inches as shown. When the circle gets to a vertex, it continues to rotate around the vertex. The circle stars and ends at the middle of the 5 inch side. The center of the circle travels a total distance of [tex]M+N\pi[/tex]
in one complete circuit. Find [tex]M+N[/tex] in simplest form
The total distance covered by the circle is 15.14 inches.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, A circle with a radius of 1 inch rolls without slipping along the sides of a right triangle.
We know the distance around the triangle is the perimeter of the triangle.
The perimeter of the triangle is the sum of the lengths of all the sides.
Here, 'M' is the perimeter and 'N' is the number of complete rotations.
Therefore,
M + Nπ.
= (3 + 4 + 5) + 1(3.14).
= 12 + 3.14.
= 15.14 inches.
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simplify -2/9 ÷ 3 1/4
Answer:
[tex] - \frac{2}{9} \div 3 \frac{1}{4} \\ \\ \dashrightarrow \: - \frac{ 2}{9} \div \frac{13}{4} \\ \\ this \: can \: also \: \: be \: written \: as \: \\ \dashrightarrow \: - \frac{2}{9} \times \frac{4}{13} \\ \\ \dashrightarrow \: \boxed{ \: - \frac{8}{117} }[/tex]
hope helpful! :)
Answer:
-8/117
Step-by-step explanation:
[tex]\frac{-2}{9} /3\frac{1}{4} \\\\[/tex]
-first simplify 3 1/4
-simply multiply 4 by 3 and add 1. This is how you convert mixed fractions to whole fractions. Multipy denominator by whole number and add the numerator. The denominator stays the same so this will become
=13/4
- next because you're dividing two fractions, it is easier to take reciprocal of the denominator. You flip the fraction and change the sign. So instead of dividing by 13/4, you multiply by 4/13
- lets move the negative fraction (-2/9) to rigth hand side to make things easier to visualize. so our expressions right now will be:
=[tex]\frac{4}{13} *\frac{-2}{9}[/tex]
-now multiply like normal
= -8/117
Given that V is directly proportional to r^3, copy and complete the table.
In proportion the complete table is ,
r 1 2 4 [tex]1\frac{1}{2}[/tex]
V 4 32 256 [tex]13\frac{1}{2}[/tex]
What is proportion?
A percentage is created when two ratios are equal to one another. We write proportions to construct equivalent ratios and to resolve unclear values. a comparison of two integers and their proportions. According to the law of proportion, two sets of given numbers are said to be directly proportional to one another if they grow or shrink in the same ratio.
Here the given is V∝[tex]r^3[/tex] .
To remove proportion we need to include constant then,
=> V = k[tex]r^3[/tex]
Now put r=1 and V= 4 then
=> 4= k*1
=> k=4
Then the equation is V=4[tex]r^3[/tex].
Now put r=2 then
=> V= 4[tex]\times 2^3[/tex]
=> V= 4× 8 = 32
Now put V=256 then
=> 256 = 4[tex]r^3[/tex]
=> [tex]r^3=\frac{256}{4}[/tex]
=> [tex]r^3=64[/tex]
=> r = 4
Now r=1[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5 then
=> V= 4[tex]\times 1.5^3[/tex]
=> V=[tex]\frac{27}{2}[/tex]
=> V = [tex]13\frac{1}{2}[/tex]
Hence the complete table is,
r 1 2 4 [tex]1\frac{1}{2}[/tex]
V 4 32 256 [tex]13\frac{1}{2}[/tex]
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What is the depth of recursion in the binary search?
arr = {2, 6, 10, 99, 898) and key = 898
a. 3
b. 5
c. 2
d. 4
If the arr = {2, 6, 10, 99, 898) and key = 898 , then the depth of recursion in the binary search is (c) 2 .
The Depth of Recursion in Binary Search refers to the number of recursive calls required to find the target element in the array.
In the Binary Search, the array is repeatedly divided in half until , we find the target element or conclude that it is not present in the array.
The target element (Key) is = 898 and the array is {2, 6, 10, 99, 898} .
The initial array is divided into two parts: {2, 6, 10, 99} and {898} ;
Since 898 is larger than 99, we only need to consider the right half of the array: that is {898}.
The next step is to compare the target element (Key) = (898) with the middle element which is {898} .
and Since they both are equal, we have found the target element.
Therefore , the depth of recursion in this binary search is (c) 2.
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(In 2-5, use number sense to decide where the decimal point belongs in the quotient.)
4. 4.08 divided by 6.4
5. 730.5 divided by 1.5
The result when,
4.08 divided by 6.4 is 6.375
730.5 divided by 1.5 is 487
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,
Two statements,
08 divided by 6.4
and 730.5 divided by 1.5
⇒ 4.08/6.4
4.08 & 6.4 cab be written as
⇒ 408/100 & 64/10
So, 408/100÷ 64/10
⇒ 408 ÷ 640
⇒ 6.375
Similarly,
730.5 ÷ 1.5
⇒ 487
Hence, the results are respectively 6.375 & 487
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need help with this problem
1. [tex]\overline{AB} \cong \overline{CB}[/tex], [tex]D[/tex] is the midpoint of [tex]\overline{AC}[/tex]
2. [tex]\overline{AD} \cong \overline{DC}[/tex]
3. [tex]\overline{BD} \cong \overline{BD}[/tex]
4. [tex]\triangle ABD \cong \triangle CBD[/tex]
Jamal tarted a new job and he i given 5 day of vacation time when he tart. He earn an extra day and a half of vacation for every month he work. The algebraic expreion that repreent thi ituation i 51. 5m, where m repreent the number of month he ha worked at thi new job. How many vacation day will Jamal have if he work at hi new job for 2 year?
Jamal will have 63 vacation days after working at his new job for 2 years.
To calculate the number of vacation days Jamal will have after 2 years,
We need to determine the number of months he worked
(2 years = 2 * 12 = 24 months)
And then use that in the expression for his vacation days: 51 + 0.5m.
So, for 24 months, we have:
Vacation days = 51 + 0.5 * 24
Vacation days = 51 + 12
Vacation days = 63
In arithmetic, addition is the process of adding two or more integers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum.
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HELP ME ASP !!!!!!!!!!!!!!!!!!!!
im a little confused and stuck
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{a + b - 3}\\\mathsf{= 10 + 7 - 3}\\\mathsf{= 17 - 3}\\\mathsf{= 14}\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{14}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
What is y? Cos^2(45) + cos ^2(60) + cos^2(y) = 1
Given - Cos^2(45) + cos ^2(60) + cos^2(y) = 1
We Know ,
Cos^2(45) = (1/[tex]\sqrt{2}[/tex])^2 ------- 1
cos^2(60)= (1/2)^2 --------2
From equation 1 &2
1/2 + 1/4 + cos^2(y) =1
cos^2(y) = 1- (1/2 + 1/4)
cos^2(y) = 4-2-1/4
cos^2(y) = 1/4
cos (y) = [tex]\sqrt{1/4}[/tex]
cos (y) = 1/2
cos (y) = cos (60)
y=60
The value of y that is being determined by the given
trigonometric equation Cos^2(45) + cos ^2(60) + cos^2(y) = 1 is y = 60
Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations in a triangle. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
Given that, Cos^2(45) + cos ^2(60) + cos^2(y) = 1
We Know that ,
cos(45) = 1/[tex]\sqrt{2}[/tex] and cos(60) = 1/2
hence, Cos^2(45) = (1/[tex]\sqrt{2}[/tex])^2 (1)
cos^2(60)= (1/2)^2 (2)
From equation 1 &2
1/2 + 1/4 + cos^2(y) =1
cos^2(y) = 1- (1/2 + 1/4)
cos^2(y) = 4-2-1/4
cos^2(y) = 1/4
cos (y) = 1/[tex]\sqrt{4}[/tex]
cos (y) = 1/2
cos (y) = cos (60)
Therefore , y=60
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(07.01, 07.06)
A rectangle has sides measuring (3x + 5) units and (6x + 11) units.
Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit.
Part B: What are the degree and classification of the expression obtained in Part A?
Part C: How does Part A demonstrate the closure property for polynomials?
Show your work
A) The expression that represents the area of the rectangle is;
18x² + 63x + 55
B) The degree of the polynomial is 2 and the classification is a quadratic polynomial.
C) The multiplication of the polynomials (3x + 5) and (6x + 11) to obtain another polynomial demonstrated the closure property of polynomials
How to find the area of the rectangle?A) The formula for the area of a rectangle is;
Area = Length * Width
We are given length of sides as (3x + 5) and (6x + 11)
Thus;
Area = (3x + 5)(6x + 11)
Area = 18x² + 63x + 55
B) The degree of the expression is the highest power which is 2 in the first term 18x².
C) In part A we multiplied 2 polynomials (3x + 5) and (6x + 11) and obtained another polynomial. This demonstrated the closure property of polynomials
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Conider the quadratic function f(x) = –x2 -8x – 7. The leading coefficient of the function i?
The value of the leading coefficient is equal to -1.
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression. In the term 5x, the coefficient of the number is 5. This coefficient is a whole number that is positive and real.
we know that
The formula to solve a quadratic equation of the form ax²+bx+c =0 is equal to
[tex]x = \frac{-b (+/-) \sqrt{b^{2}-4ac } }{2a}[/tex]
In this problem we have
[tex]f(x) = -x^{2} -8x-7[/tex]
Equate the function to zero
[tex]-x^{2} -8x-7 = 0[/tex]
So, a = -1
b = -8
c = -7
Hence, The value of the leading coefficient is equal to, a = -1.
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x and y are integers such that
–2 ≤ x < 3
and –1 < y ≤ 4
Find the values of x and y when x = y.
Answer:
0, 1 and 2
Step-by-step explanation:
1) Find the possible values of x
-2, -1, 0, 1, 2, 3 can not be an option because x is less than 3 not equal to.2) Find the possible values of y
0, 1, 2, 3, 4-1 can not be an option because y is greater than -1 not equal to3) See the numbers that are the same
As x = y then we have to see what numbers in both possibilities are the sameWe can see the numbers 0, 1 and 2 in both x and y so that would be our answerHave a lovely day :)
PLEASE I NEED HELP HURRY
The function f(x) is equal to x√x.
The value of a is 25/4.
What is a function?
A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.
Given integration is
[tex]5+\int_a^x\frac{f(t)}{t^2}dt =2\sqrt{x}[/tex]
Rewrite the equation
[tex]\int_a^x\frac{f(t)}{t^2}dt[/tex]= 2√x - 5
The differentiation of 2√x is f(t)/t² at t = x.
The differentiation of 2√x is 1/√x.
Therefore, 1/√x = f(x)/x²
x²/√x = f(x)
f(x) = x√x
Putting f(t) = t√t in the given equation:
[tex]5+\int_a^x\frac{t\sqrt{t} }{t^2}dt =2\sqrt{x}[/tex]
[tex]\int_a^x\frac{1 }{\sqrt{t}}dt =2\sqrt{x}-5[/tex]
[tex][2\sqrt{t}]_a^x[/tex] = 2√x - 5
2√x - 2√a = 2√x - 5
2√a = 5
√a = 5/2
Square both sides:
a = 25/4
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15mm, 1m express the first quantity as a percentage of the second quantity
Answer:
1500%
Step-by-step explanation:
1mm = 100% /*15
15mm = 1500%
Can you solve this please?
Answer:
5:12pm
Step-by-step explanation:
Total hours Mr. White used: 312M/60MPS=5.2hours
0.2 hour is 12 minutes.
He start at noon, 12 o'clock, so he will be there at 5:12pm
if f ( x ) = − 4 x 2 − 6 x 15 , find the equation to the tangent line when x = − 5 . enter your answer as an equation in the y = m x b form.
The equation of the tangent line of f(x)=(x-5)/(x+1) at x=6 in the form of y = mx + b is y = (6/49)x - 29/49 .
The function whose tangent line is to be found out is f(x)=(x-5)/(x+1) ;
to find the tangent equation , we differentiate the function ;
the function f(x) is of the form g(x)/h(x) ;
On differentiating g(x) and h(x) , we get that g'(x) = h'(x) = 1 ;
We get ; f'(x) = [1(x+1))-(1(x-5)]/(x+1)² ;
⇒ f'(x) = [x+1-x+5]/(x+1)² ;
⇒ f'(x) = 6/(x+1)² ;
Now, we x = 6 in the derivative to find slope of tangent at that point.
So , ⇒ f'(6) = 6/(6+1)²
⇒ f'(6) = 6/49
Now the slope is = 6/49 , the value of y in (6,y) by putting in x = 6 into the original function:
⇒ f(6) = (6 - 5)/(6 + 1)
⇒ f(6) = 1/7
We currently know a point (6,1/7) = (x₁,y₁) and slope of tangent, which is 6/49.
now using point slope form to find equation of tangent.
⇒ y-y₁ = m(x-x₁)
⇒ y - 1/7 = (6/49)(x-6)
⇒ y = (6/49)x - 29/49
Therefore , The equation of the tangent is y = (6/49)x - 29/49 .
The given question is incomplete , the complete question is
What is the equation of the tangent line of f(x)=(x-5)/(x+1) at x=6 . Enter your answer as an equation in the y = mx + b form ?
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help pls Solve: 2(2x^2 - 1) + 2x
Answer: 18x-4
Step-by-step explanation:
4x^2-2+2x= 18x-4
A ballet school wants to buy new slippers for students in a class. They collected the sizes and displayed them in a line plot. A horizontal number line starting at 3.5 with tick marks every 0.5 units up to 8. The following values are labeled: the value of 3.5 has one dot, the value of 4 has two dots, the value of 5 has one dot, the value of 6.5 has one dot, the value of 7 has one dot, the value of 7.5 has two dots and the value of 8 has one dot. The image is titled Ballet Shoe Sizes. What is the range, and what does it mean in terms of this data set? The range is 3.5, and it means that it is the value that occurs the most. The range is 4.0, and it means that the data varies by a value of 4.0. The range is 3.5, and it means that it is the value that is the smallest. The range is 4.5, and it means that the data varies by a value of 4.5.
The range is 4.5, and it means that the data varies by a value of 4.5.
What is the data set?
A data set is an ordered collection of data. As we know, a collection of information obtained through observations, measurements, study, or analysis is referred to as data. It could include information such as facts, numbers, figures, names, or even basic descriptions of objects.
The range is the difference between the largest and smallest values in a data set.
In this case, the largest value is 8 and the smallest value is 3.5, so the range is 8 - 3.5 = 4.5.
This means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.
Hence, The range is 4.5, and it means that the data varies by a value of 4.5.
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A table tennis ball has a diameter of 40 mm. What is the volume of the table tennis ball in cubic millimeters?
Answer:
Approximately 33,510.7 cubic millimeters.
Step-by-step explanation:
The volume of a sphere can be calculated using the formula: V = 4/3 * π * r^3, where r is the radius of the sphere.
The diameter of the table tennis ball is 40 mm, so the radius is r = 40/2 = 20 mm.
To convert millimeters to cubic millimeters we have to cube the value of radius, so in this case, 20mm20mm20mm.
So, the volume of the table tennis ball in cubic millimeters is:
V = 4/3 * π * 20^3 = 4/3 * π * 8000 = approximately 33,510.7 cubic millimeters.
(This is on a coordinate plane)
Y = -2X + 1
That is the equation to find the coordinates
Please help me find ordered pairs that work!
By the way: I need two ordered pairs to make the line
Answer:
The equation y = -2x + 1 describes a line on a coordinate plane. To find two ordered pairs that work, you can pick any two x-values and plug them into the equation to get the corresponding y-values. For example, if you choose x = -1 and x = 4, then the corresponding y-values are y = -2(-1) + 1 = 1 and y = -2(4) + 1 = -7. This means that the two ordered pairs that work are (-1, 1) and (4, -7).
the value of r is 4/5 times the value of t where r is greater than 0
The value of t is 20 percent greater than the value of r
Here, the value of r is 4/5 times the value of t.
This means, the value of r would be,
r = (4/5)t
This means, the value of t is greater than the value of r by (t - r)
We find the value of (t - r)
t - r
= t - (4/5)t
= t (1 - 4/5)
after simplifying this expression we get,
t - r = (1/5)t
This means, the value of t is greater than the value of r by (1/5)
To find the percent :
1/5 × 100
= 20%
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The complete question is:
the value of r is 4/5 times the value of t; where r > 0. The value of t is what percent greater than the value of r ?
