\(x^{5}y^{3}+x^{4} y^{4}+ x^{3} y^{5} = w(x^{3} y^{3} )\), using Big-omega notation.
what is Big-omega notation?
Big-O tells you the complexity of an algorithm in terms of the size of its inputs. This is essential if you want to know how algorithms will scale. If you need to design a big website and expect a lot of users, the time it takes you to handle user requests is critical
let,\(x^{5} y^{3} +x^{4} x^{4}+ x^{3} y^{5}\) = f(x, y) and \((x^{5} y^{3} )\) = g(x, y)
let \(k_{1} =k{2} =1\)
here, x>1 and y>1
\(x^{3} < x^{4} < x^{5} and y^{3} < y^{4} < y^{5} \\f(x,y) \geq x5y3 x4y4 x3y5\)
comparing the inequality with f(x, y)\(\geq\) g(x, y)
we get,
\(x5y3 x4y4 x3y5 = w(x3y3)\)
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Write and solve an equation to solve the problem. lisa is 4 centimeters taller than her friend lan. lan is 8 centimeters taller than jim. every month, their heights increase by 2 centimeters. in 4 months, the sum of lan's and jim's heights will be 170 centimeters more than lisa's height. how tall is lan now? let h be lan's height today in centimeters.
After solving an equation as per given relation of Lan, Lisa and Jim height ,now Lan's height is 174centimeters.
As given ,
Let h be Lan's height today in centimeters.
As per the relation between Lan, Lisa and Jim height we have,
Lan=h cm
Lisa=h + 4
Jim=h -8
After 4 months, every month their heights increase by 2 cm
Lan=h + 8
Lisa=h + 4 +8
Jim=h -8 +8
Required equation for given condition:
Lan + Jim=170 +Lisa
⇒h +8 + h -8 + 8=170 + h + 4+8
⇒2h+8=h+182
⇒h=174cm
Therefore, after solving an equation as per given relation of Lan, Lisa and Jim height ,now Lan's height is 174centimeters.
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please help urgent
Use the formula A = P(1 + rt) to find the indicated quantity. P=$7996; r = 6%; t = 10 months; Find A. OA. $8475.76 OB. $8395.80 OC. $399.80 OD. $6663.33
Answer:
B) \(\$8395.80\)
Step-by-step explanation:
\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)
This is all assuming that r=6% is an annual rate, making t=10/12 years
the population of chicago is about 3 million. how does that compare to the total number of dead and wounded in world war i? (give your answer as a fraction)
Use point-slope form to write the equation of a line that passes through the point (-14,17) with slope 1/2
Answer:
The Standard Form for a linear equation is Ax + By = C (A ≥ 0)
Because we have coordinates of a point on the line and slope, let's use Point-Slope Form of linear equation
y - y1 = m(x -x1)
y - (- 4) = (1/2)(x - 6)
y + 4 = (1/2)x - 3
y - (1/2)x = - 3 - 4
Let's multiply both sides of the equation by (- 2)
x - 2y = 14
~~~~~~~~~
6 - 2*(- 4) = 14
6 + 8 = 14
14 = 14
Step-by-step explanation:
to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 12 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?
The original recipe had 0.9 cups of bananas.
Using only fresh ingredients, strawberry banana smoothie is a simple, nutritious dish. It is creamy, sweet, nutritious, and dairy- or dairy-free can be used to make it. The ideal summertime smoothie. Putting the strawberries, frozen banana, milk, and yoghurt in a blender and mixing until smooth and creamy is all that is required to make it.
Cups of strawberries = 1.75
No. of cups added of banana = 1/2
= 0.5
No. of cups of banana smoothie have = 14.
The original recipe had = 1.4 - 0.5
= 0.9
Hence, the original recipe had 0.9 cups of bananas.
Correct Question :
to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 1/2 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?
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Which statement is true of the graph on the
right?
The average salary doubled between year 1
and 2.
The average salary tripled between year 1
and 3.
The average salary increased by the same
amount each year.
DONE
1. The TRUE statement about the graph, which is represented here by the data table, is D. The average salary increased by some irregular amount each year.
2. The average salary per year between 2001 and 2006 is $3,600?
What is an average?An average number is the mean of a total value.
The average is computed as the total value of observations divided by the number of observations.
Data for the graph and Calculations:Year Salary
2001 $1,500
2002 2,600
2003 3,200
2004 4,100
2005 5,000
2006 5,200
Total $21,600
Average = $3,600 ($21,600/6)
Thus, the graph or the data table shows that D. The average salary increased by some irregular amount each year.
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Question Completion:1. Option D: The average salary increased by some regular amount each year.
2, What is the average salary per year between 2001 and 2006?
Answer: C-The average salary increased by the same amount each year.
NEXT ANSWER-B
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Tom used the following steps to find the inverse of fx), but he thinks he made an error.
Step 1
$(x) = 4x - 2
given
Step 2
y = 4x - 2
change f(x) to y
Step 3
= 4y - 2
switch r and y
Step 4
- 2 = 4y
subtract 2 from each side
Step 5
=y
divide each side by 4
Step 6
change y to y-1(x)
Answer:
Step 3.not switch the variables.Step-by-step explanation:
Tom wanted to find the inverse of f(x)= 4x - 2 using the steps in the attached image.
Tom's first mistake was in Step 3.
To correct the mistake, he should not switch the variables.
The correct procedure is:
Step 1 : Given
f(x) = 4x - 2
Step 2 : Change f(x) to y
y = 4x - 2
Step 3 : Add 2 to both sides
\(4x=y+ 2\)
Step 4: Divide each side by 4
\(x=\dfrac{y+2}{4}\)
Step 5: Change x to \(f^{-1}(x)\)
\(f^{-1}(x)=\dfrac{y+2}{4}\)
A rectangular section of wilderness will be set aside as a new wildlife refuge. Its dimensions are (5 x 10^5) by (4 x 10^4). What is the area of the land? Write your final answer in scientific notation. Explain how you got your answer.
Answer:
calculator time man
Step-by-step explanation:
Answer:
20x10^9
Step-by-step explanation:
This should be correct. Good Luck buddy!! CAN I GET THE BRIANLIEST PLEASE!!!!!!
Angel corre en un maratón de 500m y lo hizo en 1,5 horas. ¿Cuál fue la velocidad de
Angel?
Nine is which percent of 25?
A. 16%
B. 27%
c. 36%
D. 225%
E 270%
Answer:
36%
Step-by-step explanation:
I don't know if you want the explanation or not.
full explanations please!!
Answer:
x/7 = 7
x = 49
y/7 = 2
y = 14
Step-by-step explanation:
I'm not really confident about this since I kind of forgot but I'm pretty sure what I said is right.
Which part of this statement is the conclusion?
If a > b and x > 0, then ax > bx.
O a>b
Ox>0
ax > bx
a>b and x > 0
The part of the statement which is the conclusion is; ax > bx
Statement premises and conclusions:In mathematics, the concept of mathematical induction is based on the statement of premises and conclusions subsequently.
On this note, in the statement given;
The premise given is;
If a > b and x > 0The conclusion is therefore;
ax > bxRead more on premises and conclusion;
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Mark each statement true or false. No need for explanation.
(a) {x} ∈ {x}.
(b) If A ⊆ B ∪ C, then A ⊆ B or A ⊆ C.
(c) |A × B| ≥ |A| for all sets A and B.
(d) The multiplication of any rational number with an irrational number is irrational.
(e) In any group of 25 or more people there are at least three of them who were born in the same month.
(f) Suppose there are 4 different types of ice cream you like. You must eat at least 25 random ice creams to guarantee that you have had at least 6 samples of one type.
a. True. The statement {x} ∈ {x} single element is true .
b. False. The statement If A ⊆ B ∪ C, then A ⊆ B or A ⊆ C is false .
c. False. The statement |A × B| ≥ |A| for all sets A and B is false.
d. True. The statement The multiplication of any rational number with an irrational number is irrational is true
e. True. The statement In any group of 25 or more people, there are at least three of them who were born in the same month is true.
f. True. The statement Suppose there are 4 different types of ice cream you like.
(a) True. The statement {x} ∈ {x} is true because {x} is a set that contains a single element, which is x. Therefore, {x} is an element of itself.
(b) False. The statement If A ⊆ B ∪ C, then A ⊆ B or A ⊆ C is false. It is possible for A to be a subset of B ∪ C without being a subset of either B or C. For example, let A = {1}, B = {1, 2}, and C = {3}. Here, A is a subset of B ∪ C, but A is not a subset of either B or C.
(c) False. The statement |A × B| ≥ |A| for all sets A and B is false. The cardinality (number of elements) of the Cartesian product of sets A and B, denoted |A × B|, is equal to the product of the cardinalities of A and B, i.e., |A × B| = |A| × |B|. Therefore, if |A| > 0 and |B| > 0, then |A × B| = |A| × |B|, which implies that |A × B| ≥ |A| only if |B| ≥ 1. However, if |B| = 0 (an empty set), then |A × B| = 0, which is less than |A|.
(d) True. The statement The multiplication of any rational number with an irrational number is irrational is true. When you multiply a non-zero rational number with an irrational number, the result is always irrational. This is because the product of a non-zero rational number and an irrational number cannot be expressed as a ratio of two integers, which is the defining characteristic of irrational numbers.
(e) True. The statement In any group of 25 or more people, there are at least three of them who were born in the same month is true. This is known as the pigeonhole principle or the birthday paradox. Since there are only 12 months in a year, if there are 25 or more people in a group, then there must be at least three people who share the same birth month.
(f) True. The statement Suppose there are 4 different types of ice cream you like. You must eat at least 25 random ice creams to guarantee that you have had at least 6 samples of one type is true. This is an application of the pigeonhole principle as well. If there are 4 different types of ice cream and you want to guarantee that you have had at least 6 samples of one type, then you would need to keep choosing ice creams until you have selected at least 25 of them. This ensures that you have enough chances to have at least 6 samples of one type.
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please help lol
“the opposite of a positive number is always zero,positive or negative which one is it!
Answer:
the opposite of a positive number is always negative
The mean age of five people in a room is 24. One of the people (age 40) leaves the
room. The mean age of the remaining four people is
Answer:
thxss for the points love
Step-by-step explanation:
kisses
Answer:
16
Step-by-step explanation:
(b) Jodie has a body mass index of 19 and weighs 55 kilograms. Work out how tall she is. Give your answer correct to 2 decimal places.
Answer:
1.71 meters.
Step-by-step explanation:
To work out Jodie's height, we can use the formula for body mass index (BMI):
BMI = weight (kg) / height (m)^2
We know that Jodie's BMI is 19 and her weight is 55 kilograms. We can use this information to solve for her height.
Rearranging the formula to solve for height:
height = √(weight / BMI)
Substituting in Jodie's weight and BMI:
height = √(55 / 19)
height = √(2.89)
height = 1.71 meters
To 2 decimal places, Jodie's height is 1.71 meters.
With a Body Mass Index (BMI) of 19 and a weight of 55 kilograms, the height of Jodie is 1.70 meters.
We know,
BMI = Weight of a person in kilograms (w) .........(i)
Square value of height in meters (h^2)
(w) = 55 Kg
BMI = 19.
Substituting the values in equation (i),
h^2 = 55/19,
or, h^2 = 2.89 meters,
or, h = √2.89 meters,
or, h = 1.70 meters.
Therefore, at a BMI of 19 and a weight of 55 Kilograms, Jodie has a height of 1.70 meters.
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Mike runs 12.6 miles in 3.5 hours. How fast does he run in miles per hour?
ALM not BLM
Answer: 3.6 mph
Step-by-step explanation:
Divide both numbers by 3.5 to get 3.6 miles per hourThat's the only step since they give you that much.
More specifically though, we could create an equation.
\(12.6=3.5x\) where x is the mph.
Solve the equation by dividing both sides by 3.5 and get the same answer.
Ramiro aked 60 random people from hi chool how they ue the library. Ue the information from Ramiro’ repreentative ample to make prediction about the chool-wide reult. The chool ha 540 tudent
Yes it is possible to make the prediction about Ramiro's School but not completely.
It is possible to use the information from Ramiro's sample to make predictions about the school-wide results, but it is important to note that the sample may not be fully representative of the entire population of students at the school. There may be sampling biases or other factors that affect the results.
With that said, based on the information provided, we can calculate the proportion of students in Ramiro's sample who use the library in a certain way, and then use that proportion to estimate the number of students at the school who use the library in that way.
For example, if Ramiro's sample shows that 40 out of the 60 people he surveyed use the library to study, we can estimate that approximately 40/60 = 67% of the school's students use the library to study. We can then use this proportion to estimate that approximately 540 x 67% = 361 students at the school use the library to study.
It's important to note that these predictions are based on sample data and they may not be accurate. To make more accurate predictions, a larger, more representative sample would be needed.
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Which of the following is the range of the function based on the input-output table below?
Answer:
Range is C : {1000,1100,1200,1300,1400,1500,1600}
The value of 41 squared is between which two whole numbers?
The image shows the square root of 41
The root of 41 in decimal is 6.403.
As such the integers before and after 6.403 are 6 and 7
Another way to solve this is to consider the perfect square before 41 which is 36.
The square root of 36 is 6. Since 41 is higher than 36, the number before root 41 would be 6 and the next number after 6 is 7.
Hence the two numbers before and after √41 are 6 and 7
Anna is reading a 300-page book. She can read a page in two minutes. If she has finished reading 75 percent of the pages, how many minutes of reading does she have left
Answer:
150 minutes
Step-by-step explanation:
If Anna read 75% of her 300-page book, then she has already read:
300 × 75%
= 300×0.75
= 225
225 pages.
If Anna has already read 225 pages, then she has:
300 - 225 = 75
75 pages left still to read.
If Anna reads 2 minutes per page, then she has
75 × 2 = 150 minutes.
She has 150 minutes of reading left to finish her book.
By the way, it's weird to say you have 150 minutes of something to do. In real life 150 minutes = 2 1/2 hours. jfyi. Have a great day!
Name a geometric figure that could be the height of a tree
Answer:
Triangle
Step-by-step explanation:
h = Tan A x d, where h is the tree height, d is the distance from tree, and A is the angle to the top of the tree.
Basically you want to solve for the hypotenuse by using basic trig
write out all functions :{1,2,3,4}→{,} (using two-line notation)
There are 16 functions in total.
8 functions are surjective, meaning that every element in the codomain is the image of at least one element in the domain.
4 functions are injective, meaning that no two elements in the domain have the same image.
0 functions are bijective, meaning that they are both surjective and injective.
A function is a relation that maps each element in the domain to exactly one element in the codomain. In this case, the domain is {1, 2, 3, 4} and the codomain is {,}.
To write a function in two-line notation, we list the domain elements on the left-hand side of the arrow, and the corresponding codomain elements on the right-hand side of the arrow. For example, the function that maps 1 to , 2 to , 3 to , and 4 to is written as:
f(1) = ,
f(2) = ,
f(3) = ,
f(4) = .
There are a total of 16 possible functions, because there are 16 possible ways to assign the domain elements to the codomain elements.
The 8 surjective functions are those that map each element in the domain to a different element in the codomain. For example, the function that maps 1 to , 2 to , 3 to , and 4 to is surjective.
The 4 injective functions are those that do not map two different domain elements to the same codomain element. For example, the function that maps 1 to , 2 to , 3 to , and 4 to is injective.
There are no bijective functions, because there is no way to map the four elements in the domain to the two elements in the codomain without creating a function that is either not surjective or not injective.
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There are 16 functions in total.
8 functions are surjective, meaning that every element in the codomain is the image of at least one element in the domain.
4 functions are injective, meaning that no two elements in the domain have the same image.
0 functions are bijective, meaning that they are both surjective and injective.
A function is a relation that maps each element in the domain to exactly one element in the codomain. In this case, the domain is {1, 2, 3, 4} and the codomain is {,}.
To write a function in two-line notation, we list the domain elements on the left-hand side of the arrow, and the corresponding codomain elements on the right-hand side of the arrow. For example, the function that maps 1 to , 2 to , 3 to , and 4 to is written as:
f(1) = ,
f(2) = ,
f(3) = ,
f(4) = .
There are a total of 16 possible functions, because there are 16 possible ways to assign the domain elements to the codomain elements.
The 8 surjective functions are those that map each element in the domain to a different element in the codomain. For example, the function that maps 1 to , 2 to , 3 to , and 4 to is surjective.
The 4 injective functions are those that do not map two different domain elements to the same codomain element. For example, the function that maps 1 to , 2 to , 3 to , and 4 to is injective.
There are no bijective functions, because there is no way to map the four elements in the domain to the two elements in the codomain without creating a function that is either not surjective or not injective.
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Use the equation and given point to answer the questions below.
The equation of line a is y=1/2x−1, and it passes through point (6,2).
Line b is perpendicular to line a, and it passes through point (−6,2).
A: What is the slope of line b?
B: What is the y- intercept of line b?
Select two answers: one for A and one for B.
A: 2
A: −2
B: 5
A: 1/2
A: −1/2
B: −10
B: −1
B: 1
Part A
The slope of line \(a\) is \(\frac{1}{2}\). Perpendicular lines have slopes that are negative reciprocals of each other, so the answer is \(\boxed{-2}\).
Part B
Using point-slope form, the equation of line \(b\) is \(y-2=-2(x+6)\).
The \(y\)-intercept is where \(x=0\).
\(y-2=-2(0+6) \implies y-2=-12 \implies y=\boxed{-10}\)
in the diagram <4 = <40 °. Find the measure of <3 = (?)°
Answer:
∠3=140°
Step-by-step explanation:
∠4 = 40°
∠3 + ∠4 = 180° (co-exterior angles are equal)
∠3 + 40° = 180°
∠3 = 180° - 40°
∠3 = 140°
\(or^{}\)
∠2 = ∠4 = 40° (corresponding angles)
∠3 + ∠2 = 180° (linear pair)
∠3 + 40° = 180°
∠3 = 180° - 40°
∠3 = 140°
hope you understood
For each ordered pair, determine whether it is a solution to the system of equations. -18x+2y=8 and y=9x+4
For the given system of equations, no solution is possible.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.
Given:
The system of equations,
-18x + 2y = 8 {equation 1}
y = 9x + 4 {equation 2}
Substitute the value of y from equation 2 to equation 1,
we get,
-18x + 18x + 8 = 8
0 = 0
That means, the lines of the equation are parallel to each other.
Therefore, no solution is possible for the system.
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[ 0] [ 1] [-1]
[ 0] [-1] [ 0]
Let v1 = [-1], v2 = [ 0], and v3 = [ 1]. [ 1] [ 0] [ 0]
Does not {v1, v2, v3} span R^4? Why or why not?
Yes, {v1, v2, v3} does not span R⁴ because the given vectors are of size 3, i.e., they have three components, while R⁴ requires vectors of size 4, i.e., vectors with four components.
The determinant of the matrix A formed by placing the given vectors as columns is zero, which implies that the rank of A is less than 3. Since the rank of A is equal to the dimension of the column space, this means that the vectors do not span R⁴
In other words, there exist vectors in R⁴ that cannot be expressed as linear combinations of v1, v2, and v3. This can also be seen by observing that the given vectors lie in a three-dimensional subspace of R⁴, namely the subspace consisting of all vectors of the form (a, b, c, 0), and therefore cannot span R⁴.
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the cubic centimeter (cm3 or cc) has the same volume as a
The cubic centimeter (cm³ or cc) is a unit of volume that is equivalent to a cube with sides measuring one centimeter each. It is commonly used to measure the volume of small objects or substances.
The term "cc" is often used in medical and automotive contexts to denote engine displacement or medication dosages. The cubic centimeter is a convenient unit for expressing small volumes due to its relation to the metric system and its ease of conversion. The cubic centimeter, denoted as cm³ or cc, is a unit of volume in the metric system. It represents the volume of a cube with sides measuring one centimeter each. This unit is widely used to measure the volume of small objects or substances, especially in scientific, medical, and engineering fields. In the medical field, the term "cc" is often used interchangeably with ml (milliliter) to express medication dosages. For example, a doctor may prescribe a certain medication to be administered in 5 cc or 5 ml doses. In the automotive industry, cc is used to denote engine displacement, which represents the total volume swept by all the pistons in an internal combustion engine. It is commonly used to categorize and compare the sizes and capacities of different engines. The cubic centimeter is a convenient unit for measuring small volumes due to its relation to the metric system. It is easily convertible to other metric units of volume, such as liters or milliliters, by using the appropriate conversion factors. For example, 1 cm³ is equivalent to 0.001 liters or 1 milliliter. Overall, the cubic centimeter serves as a practical unit for quantifying small volumes in various fields, providing a common measurement standard and facilitating easy conversions within the metric system.
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Complete the table below to find solutions to the linear equation - 4.x + 4y = 16.Use parentheses when entering ordered pairs and do not enter spaces between numbers.Provide your answer below:
HELP!!!!!! THIS IS URGENT PLEASE HELP!! DUE IN 10 MINUTES!!!
Write an expression using letters and/or numbers for the following problem.
Complete the following frame for 6x = 54:
The equation is true when x = _ because _.
PLEASE LIST THE FULL ANSWER!!! THANK YOU!!
Answer:
Step-by-step explanation:
6x = 54
x = 54 /6
x=9
therefore value of x is 9
Answer:
6x=54 if x =9 because 54/6 equals nine
Step-by-step explanation: