You walk into a tall building and take the elevator up an appointment you have on the 7th floor they send you down two floors to the 5th floor to pay your bill After paying your bill you take the stairs back to the main floor and exit the building

The two positive numbers x = 4 and y = 4 have a product of 16 and a minimum sum.

An expression in mathematics is a set of numbers, variables, and operators that can be evaluated to yield a value, including addition, subtraction, multiplication, and division. Parentheses, other symbols, and mathematical functions are also acceptable expressions.

The two positive numbers will be denoted by x and y. The problem statement states that we have:

xy = 16  …...(1)

x + y = ?

The substitution method can be used to find the values of x and y. We can determine the value of one of the variables, say y, from equation 1:

\(y =\dfrac{ 16}{x}\)

When we enter this expression in the second equation in place of y, we obtain:

\(x + y = x + \dfrac{16}{x}\)

Take the derivative of this equation with respect to x and set it to zero in order to minimize it:

\(\dfrac{d}{dx} (x + \dfrac{16}{x}) = 1 - \dfrac{16}{x^2} = 0\)

Solving for x, we get:

x = 4

Substituting this value back into equation 1,

y = 4

Therefore, the two positive numbers whose product is 16 and whose sum is a minimum are x = 4 and y = 4.

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The two positive numbers whose product is 16 and whose sum is minimized are x = y = 4.

The problem is asking us to find two positive numbers whose product is 16 and whose sum is minimized.

Let x and y be the two positive numbers. Then we have:

xy = 16, or y = 16/x (by dividing both sides by x)

We want to minimize x + y = x + 16/x

To find the minimum value of x + 16/x, we can use calculus. We take the derivative of this expression with respect to x, set it equal to zero, and solve for x:

d/dx (x + 16/x) = 1 - 16/x^2 = 0

Solving for x, we get x = 4. Plugging this value of x into y = 16/x, we get y = 4 as well.

Therefore, the two positive numbers whose product is 16 and whose sum is minimized are x = y = 4.

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Answer:

The answer would be 25 litres.

Step-by-step explanation

Half of 50 is 25.

Answer:

25 litres hope this helps

Step-by-step explanation:

God bless you

Answer:

3(6x-3)

Step-by-step explanation:

there are three groups, each group having 6x and 3 boxes valuing negative 1.

Answer:

Step-by-step explanation:

x - 10+ 9x = - 1 + 10x

-10 + 1 = -x - 9x + 10x

-9 = 0

the equation is false

The values of the placeholder variables are as follows;

The actual expression in the task content can be further simplified as follows;

(-2jk²/3km⁴)³

= -8j³k⁶/27k³m¹²

= -8j³k³/27m¹².

Hence, by comparison; the values of the variable are as indicated above.

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Answer:

38

Step-by-step explanation:

To find the value of f(6), we substitute the value 6 where x is into the function. You would get:

7(6) - 4

42 - 4

f(6) = 38

Answer:

See my writting here have answer

The correct answer is a)True  c)True The order of the cyclic group is determined by the number of elements in the group, whereas the order

a. True. If a nonempty subset H of a group G is closed under the binary operation of G, contains the identity element of G, and contains the inverse of each of its elements, then H is a subgroup of G.

c. A is true but B is false. Every cyclic group is indeed abelian, but the order of the cyclic group is not necessarily the same as the order of its generator. The order of the cyclic group is determined by the number of elements in the group, whereas the order of the generator refers to the smallest positive exponent that generates all elements of the group.

a. Zero has no inverse. In the set of real numbers under the usual multiplication operation, the element zero does not have a multiplicative inverse. Every nonzero real number has an inverse, but zero itself does not. In a group, every element should have an inverse, so the set of all real numbers under multiplication does not form a group.

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Slope of lines 3x - 5y = 2 and 3x + 5y = -2 are m₁ = 3/5 and m₂ = -3/5 respectively.

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line. The net change in the y coordinate is Δy and the net change in the x coordinate is Δx. Therefore, the change in y-coordinate for a change in x-coordinate can be written as

Line slope is a measure of the steepness or direction of a line in the coordinate plane.  

m = Δy/Δx

where,m is the slope

Given,

equations of the line

3x - 5y = 2

Moving 3x to RHS
-5y = -3x + 2

y = (3/5)x - 2/5

comparing with slope intercept equation of the line y = mx + c

slope m₁ = 3/5

Now, equation

3x + 5y = -2

moving 3x to RHS

5y = -3x - 2

y = (-3/5)x - 2

comparing with slope intercept equation of the line y = mx + c

slope m₂ = -3/5

Hence, m₁ = 3/5 and m₂ = -3/5 are slope of lines 3x - 5y = 2 and 3x + 5y = -2 respectively.

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Answer:

Ok so I think it might be multiplying or dividing

Step-by-step explanation:

My answer for multiplying is 6,732

My answer for dividing is 46.33333

Answer:

Step-by-step explanation:

There are 561 people.

When you divide by 12 you get 46 complete tables of 12

There are 9 people left over.

You can't round down. You must round up. These 9 people  get a table all to themselves.

So you need 47 tables.

Answer and Step-by-step explanation:

\((\frac{1.25 - x}{1.25x} ) * 100\\\\\\(\frac{1.25}{1.25x} - \frac{x}{1.25x} ) * 100\\\\(\frac{1}{x} - \frac{1}{1.25} ) * 100\\\\\frac{100}{x} - 80\\\\\\\)

Decreased by 20%

Answer:

YESSSSSS I LOVE HAIKYUU (my favorite ppl in haikyuu are iwaizumi, akaashi, kuroo, oikawa, and kenma- also suna)

Step-by-step explanation:

also 20% is ur answer

The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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A management conundrum is an issue or difficulty that a manager faces that necessitates a choice. This difficulty or challenge frequently defines the study question and motivates researchers to conduct research to discover a solution that is the given statement is true.

Mathematics research is the long-term, open-ended investigation of a series of connected mathematical issues, the answers to which connect to and build upon one another. Because students always come up with new questions to ask based on their observations, problems are open-ended. Mathematics research is the long-term, open-ended investigation of a series of connected mathematical issues, the answers to which connect to and build upon one another. Because students always come up with new questions to ask based on their observations, problems are open-ended. Student research also has the following characteristics: Students create questions, tactics, and outcomes that are, at least for them, unique. Students employ the same broad techniques as research mathematicians. They go through data collection, visualization, abstraction, conjecture, and proof cycles.

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The system of equation is 100x + 72y = 1760 and 97x + 72y = 1718. The special price is $14 for hardcover books and $5 for paperback books.

Equations are declarations of equality between two mathematical expressions containing one or more variables. A linear equation is one in which the maximum power of the variable is one. Any arithmetic equation can be solved using linear equations, which can also be used to find the precise value or root of the variable that answers the question.

Let us suppose the price of hardback covers = x.

Let us suppose the price of paperback covers = y.

Given that, Mr. Howard purchased 100 new hardcover books and 72 new paperback books, which cost a total of $1,760.

100x + 72y = 1760........(1)

He also purchased 97 new hardcover books and 72 new paperback books for the adult fiction section, spending a total of $1,718.

97x + 72y = 1718.........(2)

The system of equation to describe the situation is:

100x + 72y = 1760.

97x + 72y = 1718

To find the solution subtract the two equations:

100x + 72y = 1760.

- (97x + 72y = 1718)

Thus,

3x = 42

x = 14

Substitute the value of x in equation 1:

100(14) + 72y = 1760

1400 + 72y = 1760

72y = 360

y = 5

Hence, the special price is $14 for hardcover books and $5 for paperback books.

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Answer:

(x+8, y+4).

Step-by-step explanation:

8 units to the right followed by 4 units up.

D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.

The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.

Analyzing the given options:

A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.

B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.

C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.

The question was incomplete. find the full content below:

Which of the following conclusions is true AND obtained by using the Law of Detachment

A. If today is Saturday, then there is no school.

Today is Saturday.

There is no school.

B. If you work 8 hours, then you'll earn $100.

If you earn $100, you'll be able to buy a new set of headphones.

Jonathan works 8 hours.

He is able to buy a new set of headphones.

C. If a person lives in Long Beach Island, then they live in Ocean County.

Brick is in Ocean County.

George lives in both Brick and Ocean County

D. None of these.

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By algebraic handling and factor rules, the polynomial (x - 2) · (x - 5) · (x - √3) · (x + √3) is equivalent to the expanded form x⁴ - 7 · x³ + 7 · x² + 21 · x - 30.

Herein we must transform a polynomial of the form (x - r₁) · (x - r₂) · (x - r₃) · (x - r₄) to the form a · x⁴ + b · x³ + c · x² + d · x + e by algebraic handling, especially factor rules:

(x - 2) · (x - 5) · (x - √3) · (x + √3)

(x² - 7 · x + 10) · (x² - 3)     Factor rules

x² · (x² - 3) - (7 · x) · (x² - 3) + 10 · (x² - 3)     Distributive and commutative properties

x⁴ - 3 · x² - 7 · x³ + 21 · x + 10 · x² - 30     Distributive property/Definition of power

x⁴ - 7 · x³ + 7 · x² + 21 · x - 30      Distributive property/Definition of addition

By algebraic handling and factor rules, the polynomial (x - 2) · (x - 5) · (x - √3) · (x + √3) is equivalent to the expanded form x⁴ - 7 · x³ + 7 · x² + 21 · x - 30.

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Answer:

-3

Step-by-step explanation:

Look at x. Go right until you see 3. Now look below to see what y is.

When x is 3, y is -3.

Answer:

1

Step-by-step explanation:

To determine the location of the maximum tensile bending stress with respect to the neutral axis, you need to find the point where the distance (y) is maximum.

To calculate the maximum tensile bending stress, you need to know the moment of inertia of the cross-sectional shape and the distance from the neutral axis to the point of interest.

The formula to calculate the maximum tensile bending stress (σ) is:

σ = (M * y) / I

where:

- M is the bending moment applied to the material

- y is the distance from the neutral axis to the point of interest

- I is the moment of inertia of the cross-sectional shape

Please provide the values for the bending moment (M), the moment of inertia (I), and the cross-sectional shape to calculate the maximum tensile bending stress and determine its location with respect to the neutral axis.

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Answer:

(2x+3)(x - 1)

Step-by-step explanation:

Since there is no common number to factor by we must approach this problem differently:

Step 1:

Multiply leading coefficient (2) by the constant term (-3)

2 x -3 = -6

Step two:

Find two numbers that multiply to -6 but add to the middle coefficient (1).

You should find these numbers to be 3 and -2

Step 3:

Replace 1x in the equation with your found numbers

2x^2 - 2x + 3x - 3

Step 4:

Take out the greatest common factor from the first two numbers, and the last two numbers.

For 2x^2 - 2x the greatest common factor would be 2x

For 3x - 3 the greatest common factor would be 3.

Step 5:

Factor out the found common factors

2x(x-1) + 3(x-1)

The values inside the bracket should be the same.

Step 6:

Factor out (x-1)

(x - 1)(2x + 3)

Therefore the factored form is (2x + 3)(x - 1)

The fully simplified expression for f(x + h) - f(x) is:

f(x + h) - f(x) = 6hx + 3h² + 6h.

To find the derivative of the function f(x) = 3x² + 6x + 3 using the definition of the derivative, we need to compute the difference quotient: f(x + h) - f(x). Let's substitute the given function into this expression: f(x + h) - f(x) = (3(x + h)² + 6(x + h) + 3) - (3x² + 6x + 3).

Expanding and simplifying: f(x + h) - f(x) = (3(x² + 2hx + h²) + 6x + 6h + 3) - (3x² + 6x + 3). Now, let's distribute the terms and simplify further: f(x + h) - f(x) = 3x² + 6hx + 3h² + 6x + 6h + 3 - 3x² - 6x - 3. Combining like terms, we can cancel out several terms: f(x + h) - f(x) = (6hx + 3h² + 6h). Therefore, the fully simplified expression for f(x + h) - f(x) is: f(x + h) - f(x) = 6hx + 3h² + 6h.

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Answer: 129

Step-by-step explanation: 180-51

Answer:

129.

Step-by-step explanation:

it's 129 believe me

Answer:

3x(4x+5y)

Step-by-step explanation:

to factorise this equation you have to remove the common terms,or the common factors in this case the common factor for both sides is 3 and the common letter is x

12x²+15xy

3x(4x+5y)

I hope this helps

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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Answer:

What is the question?

Step-by-step explanation: