Combine like terms to create an equivalent expression. -1/2(-3y+10)

The maximum rectangular area that can be fenced can be

2499 sq meters.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know for a quadrilateral, A square has the maximum area.

We also know That the product of two numbers is maximum when the difference between them is minimum.

Given, A farmer has 2,000 meters of fencing and wants to use it to create a rectangular area for grazing.

So, 2(l + b) = 2000.

l + b = 1000.

For a square, it would be 500 and 500, But to be a rectangle it can be 49 and 51.

Therefore, The maximum area would be,

= (51×49) sq meters.

= 2499 sq meters.

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Answer:

2 hours and 5 minutes or 125 minutes

Step-by-step explanation:

25minutes per class

5 classes

25 * 5 = 125 minutes = 2 hours and 5 minutes

The transformations that occur in function g(x) as it relates to the graph of f(x) = x² are option B and C

In the given function, the only transformations that occur in the function g(x) as it relates to f(x) are B and C.

In option B, the translation down 251.5 units: In the original function f(x) = x², the graph is centered at the origin (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term (x - 251.5) causes a horizontal shift to the right by 251.5 units. This means that the graph of g(x) is shifted to the right compared to the graph of f(x). Since the term is subtracted, it has the effect of shifting the graph downwards by the same amount, hence the translation down 251.5 units.

Likewise, in option C, the translation up 118 units: In the original function f(x) = x², the graph intersects the y-axis at the point (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term 118 is added to the expression. This causes a vertical shift upwards by 118 units compared to the graph of f(x). So, the graph of g(x) is shifted upwards by 118 units.

Therefore, the transformations that occur in g(x) as it relates to the graph of f(x) = x²are a translation down 251.5 units and a translation up 118 units.

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Answer:

y = 3x

Step-by-step explanation:

because 24/8 is 3

sorry if im wrong..

The values of p for which the series is convergent are p < -1.

To find the values of p for which the series is convergent, consider the given series:

Σ (3n(ln(n))^p) from n = 2 to infinity

We can apply the Integral Test to determine the convergence of the series. The Integral Test states that if the function f(n) = 3n(ln(n))^p is positive, continuous, and decreasing for all n ≥ 2, then the series converges if the corresponding improper integral converges.

Consider the improper integral:

∫(3x(ln(x))^p) dx from x = 2 to infinity

To determine convergence, we can evaluate the integral using integration by parts (let u = ln(x)^p and dv = 3x dx).

If the integral converges, the series converges. After evaluating the integral, we find that the series converges when p < -1.

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Answer:

Step-by-step explanation:

To model all of the possible amounts of money (m) Ronaldo spends on gas each week, an inequality of $29.15 is used.

Therefore,

For instance lowest amount $2.40.

$2.40 × 8.5 = $20.40

Highest Amount $2.65.

$2.65 × 8.5 = $29.15

$2.40 ≤ m ≤ $29.15.

Hence, To model all of the possible amounts of money (m) Ronaldo spends on gas each week, an inequality of $29.15 is used.

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the probability density function (PDF) of Z = X + Y is given by: fZ(z) = z, for 0 ≤ z ≤ 1 = 0, otherwise. This means that Z has a triangular distribution with a PDF that linearly increases from 0 to 1 over the range [0, 1], and then remains 0 outside that range.

What is probability density function?

A probability density function (PDF) is a mathematical function that describes the probability distribution of a continuous random variable. It is used to define the likelihood of a random variable taking on a specific value or falling within a certain range of values.

To determine the probability density function (PDF) of the random variable Z = X + Y, where X and Y are independent uniform random variables with range [0, 1], we can use the convolution of the PDFs of X and Y.

First, let's recall the PDF of a uniform random variable. A uniform random variable U with range [a, b] has a constant PDF given by:

fU(u) = 1 / (b - a), for a ≤ u ≤ b

= 0, otherwise

In this case, for X and Y with range [0, 1], the PDFs are:

fX(x) = 1, for 0 ≤ x ≤ 1

= 0, otherwise

fY(y) = 1, for 0 ≤ y ≤ 1

= 0, otherwise

Now, let's find the PDF fz of Z = X + Y by convolution:

fZ(z) = ∫ fX(x) * fY(z - x) dx

Since X and Y are independent, fY(z - x) = fY(z) since the range of Y is [0, 1].

fZ(z) = ∫ fX(x) * fY(z) dx

As the PDFs of X and Y are both 1 in the range [0, 1], the integral becomes:

fZ(z) = ∫ 1 * 1 dz

Since the integration bounds are not dependent on z, the integral evaluates to:

fZ(z) = ∫ 1 dz = z

Therefore, the probability density function (PDF) of Z = X + Y is given by:

fZ(z) = z, for 0 ≤ z ≤ 1

= 0, otherwise

This means that Z has a triangular distribution with a PDF that linearly increases from 0 to 1 over the range [0, 1], and then remains 0 outside that range.

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Answer:

[B] - 1/3

Step-by-step explanation:

Given:

-8x-5(1-x)=6x-2

Solve:

Expand : -8x - 5(1-x) : -3x -5

-3x - 5 = 6x -2

Add 5 to both sides (Balance)

-3x-5+5=6x-2+5

Simplify

-3x = 6x + 3

subtract 6x to both sides (Balance)

-3x - 6x = 6x +3 -6x

Simplify

-9x = 3

Divide both sides by -9 (Balance)

-9x/-9=3/-9

Simplify

x = -1/3

[RevyBreeze]

Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

To find the price at which the designer will sell the maximum number of shirts, we need to determine the vertex of the quadratic function representing the number of shirts sold.

The equation for the number of shirts sold is given by:

S = -4x^2 + 80x - 76

This is a quadratic function in the form of:

S = ax^2 + bx + c

To find the price at which the maximum number of shirts is sold, we need to locate the vertex of the quadratic function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

In this case, a = -4 and b = 80. Plugging in these values, we can calculate the x-coordinate:

x = -80 / (2*(-4))

x = -80 / (-8)

x = 10

Therefore, the designer will sell the maximum number of shirts at a price of $10. Hence, the correct option is c) $10.

If the hοtel rοοm fοr Karina and her friend cοsts $86 and they park fοr 7 hοurs, then she will pay $119.

The cοst οf anything is the sum οf mοney οr resοurces that must be used up in οrder tο acquire οr manufacture it. It is a measurement οf the cοsts incurred tο attain a specific οbjective οr result.

The expressiοn tο represent the cοst οf Karina's theme park trip wοuld be:

38 + 10 + 4h + (1/2)r

This includes the $38 entry price, the $10 lunch expense, and the $4 per hοur parking expense fοr the 72 hοurs. Given that Karina and her friend are splitting the cοst οf the hοtel rοοm, the final phrase (1/2)r denοtes Karina's pοrtiοn οf the expense.

If the hοtel rοοm fοr Karina and her friend cοsts $86 and they park fοr 7 hοurs, we can change these values intο the fοrmula tο make it simpler:

= 38 + 10 + 4(7) + (1/2)(86)

= 38 + 10 + 28 + 43

= $119

Therefοre, Karina will pay $119 fοr her theme park trip.

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Answer:

12 feet

Step-by-step explanation:

Sometimes, a simple drawing is a great way to start! In the attached drawing, the red line represents the ladder, the brown represents the ground, and the black represents the building!

We want to find the side of the triangle from where the ladder meets the building to where the building meets the ground. This can be found using trigonometric identities, namely sine:

\(sin\theta=\frac{opposite}{hypotenuse}\)

Plug in known values:

\(sin(74^o)=\frac{x}{12}\)

Rearrange to isolate the variable:

\(x=12sin(74^o)\)

Simplify!

\(x=11.535140... ft\)

Round to the nearest foot:

\(x=12ft\)

Answer:

Left-most: (-5,0) Right-most: (3,0)

Step-by-step explanation:

Graph the equation and it would show where the x-intercepts are.

Hope this helped you! (:

The range for the measurement of the third side of triangle give the measure of two 5 m, 11m is 6 < x <16.

From the properties of triangle:

A triangle's (of all varieties) total sum of angles is 180°. The length of a triangle's two longest sides added together is longer than the third side. Similar to this, the length of the third side of a triangle's third side is shorter than the difference between its two sides.

Let "x" be the third side of the triangle.

Since, The sum of the length of the two sides of a triangle is greater than the length of the third side.

5 + 11 > x

x< 16

Also, the difference between the two sides of a triangle is less than the length of the third side.

11 - 5 <x

x > 6

Therefore, The Range for the measure of the third side of a triangle is:

6 < x <16.

The value that is derived from the difference between the greatest and lowest values in statistics is known as the range of observations.

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We can see that the sign of the inequality changes at these points, so we can use them to determine the intervals that satisfy the inequality.

The given inequality is

\($$(x-2) (x+3)^2 \ g e 0.\)

First, we need to find the critical points, which are

\($x=2$ and $x=-3.\)

Let's make a sign table:  

\($x < -3$ &$-$&$-$&$+$&$-$\)

\\ [.1cm]

\($-32$ &$+$&$+$&$+$&$+$\)

\\ [.1cm] \end{tabular}

We use the table to see that the inequality is satisfied for

\($x\in (-\3) \cup [2, \nifty).\)

$

To write this answer in interval notation,

we use square brackets to include the endpoints of the intervals that satisfy the inequality,

and parentheses to exclude the endpoints of the intervals that do not satisfy the inequality.

Thus, the solution set is

\($$\boxed {(-\3] \cup [2, \nifty)}.$$\)

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Answer:

A p

Step-by-step explanation:

We have

\(12x {}^{ - 3} y {}^{ - 1} \)

Remeber that

\(x {}^{ - n} = \frac{1}{x {}^{n} } \)

\(12 \frac{1}{x {}^{3} } \frac{1}{y {}^{1} } \)

Now, plug in

So now we plug in -1 for x and 5 for y

\(12 \frac{1}{ { - 1}^{3} } \frac{1}{5 {}^{1} } \)

Simplify

\( - \frac{12}{5} \)

A is the answer.

Answer: 5

Step-by-step explanation: Let x = the number

x^10 ÷ x^7 = 125

x^3 = 125

x = 5

Answer:

3/3, 6/3, 18/6, 32/8, 25/5

Step-by-step explanation:

You can do many different combinations but that is just one combination you can do that equals 1, 2, 3, 4, and 5.

Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site

Probability: The chance that a given event will occur. The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes

given that the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0. 40

Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey

Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site

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Answer:

Because 0.40 represents likelihood over many visits to the site in the long term, Avery's interpretation of the probability is incorrect.

Step-by-step explanation:

What does the term probability mean?

Probability: The likelihood that a specific occurrence will take place. the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally likely outcomes that result in a specific event

Given that there is a 0. 40 percent chance that a randomly chosen website visitor will be requested to take an online survey

Avery asserts that of the following 5 site visits, 2 will be required to complete the survey.

Because 0.40 represents chance over the long term and several visits to the site, Avery's interpretation of the probability is incorrect.

Answer:

3x² + 8x + 5

Step-by-step explanation:

Subtract the sum of the 2 given sides from the perimeter, that is

9x² + x + 6 - (4x² - 2x + 2x² - 5x + 1)

= 9x² + x + 6 - (6x² - 7x + 1 ) ← distribute parenthesis by - 1

= 9x² + x + 6 - 6x² + 7x - 1 ← collect like terms

= 9x² + 8x + 5

Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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Answer:

9

Step-by-step explanation:

4-x = 5(16-x)

44-x = 80-5x

4x = 36

x = 9

Answer:

x=48

Step-by-step explanation:

because the angles are on parallel lines, but by the different sides of the other line, they are supplementary, therefore to solve you add them and set them equal to 180. Then you simply solve for x.

x+35+2x+1=180

simplify:

3x+36=180

isolate the x term:

3x+36=180

-36. -36

3x=144

isolate the x:

3x=144

/3. /3

x=48

Answer:

A byte is 8 bits.

Answer:

Parenthesis

Step-by-step explanation:

You need parenthesis to write around a pair of coordinates.

For instance, you would write (5,7) instead of 5,7

The 5 is the x coordinate and 7 is the y coordinate. It tells us the exact location on the xy grid system. Think of it like an address or longitude/latitude.

Answer:

the line of reflectiong is x=0

Step-by-step explanation:

The translation is show below

What is translation in mathematics?

A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction. When executing a translation, the original object is referred to as the pre-image, and the item following the translation is referred to as the image.

Let the coordinates be L (2, 5), M (4, 6), N (3, 7)

Follow the translation rule as (x-2, y+4), which shifts the triangle LMN to L'M'N' as L' (0, 9), M' (2, 10), N' (1, 11).

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In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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