helpppp!! (23 points)

The width of the garden is 18 feet. In this case, the length of the diagonal of the rectangular garden is the hypotenuse, and the length and width of the garden are the other two sides. Let's denote the width of the garden as "w".

Given:

Length of the garden = 24 feet

Diagonal of the garden = 30 feet

Using the Pythagorean theorem, we can set up the following equation:

\(24^2\) + \(w^2\) = \(30^2\)

Simplifying:

576 + \(w^2\) = 900

Subtracting 576 from both sides:

\(w^2\) = 900 - 576

\(w^2\) = 324

Taking the square root of both sides:

w = √324

w = 18

So, the width of the garden is 18 feet.

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we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324 Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.

Using the Pythagorean theorem, we can find the width of the garden. If the length is 24 feet and the diagonal is 30 feet, then the width can be found by taking the square root of (30^2 - 24^2), which is approximately 18.97 feet.

Therefore, the garden is about 18.97 feet wide. We can use the Pythagorean theorem to find the width of the rectangular garden.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the diagonal across the garden is the hypotenuse, and the length and width of the garden are the other two sides.

The diagonal is 30 feet, and the length is 24 feet. We need to find the width (w).

The Pythagorean theorem formula is:a² + b² = c²Where 'a' and 'b' are the two shorter sides, and 'c' is the hypotenuse.

In this case, we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.

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The given expression :

LCM of 8 & 4 is 8

Simplify: 5 -4 =1

Apply cross multiplication:

Answer:

C= 5/9 * (F -32)

Move 5/9 to the left which makes it 9/5

9/5 * C = (F -32)

Move the -32 to the left

9/5 * C +32 = F  or to make it read left to right

Fahrenheit  = 9/5 * Celsius + 32

Step-by-step explanation:

The equation for money collected m for h boxes of chocolate bars sold is m = 30h.

We are given that the band is selling every bar of chocolate for $1.50

Now, they have boxes of chocolate, with every box containing 20 bars of chocolate in them.

Hence if we are going to calculate the amount of money collected on selling one box it will be

20 X $1.5

= $30

We need to find the equation for the amount of money collected based on the number of boxes of chocolate bars sold.

We have been given that money collected should be represented b m while the number of chocolate boxes sold should be represented by h

Now we know that

Money collected = price per box X no.of boxes sold

we have already calculated the price per box hence we get

m = 30h

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Setting k = 3, the three-period moving average forecast for week 6 is 24 (option A)

A moving average method is a time series average that moves through the series by replacing the last term of the previous averaged group and adding the next term in each consecutive average.

A moving average of an order n, k = n,  is calculated as:

(x₁ + x₂ + ... + xₙ) / n

The given data is:

Week      Number of units sold

1                15

2               20

3               25

4               30

5               17

Using k = 3 means the order of the moving average is 3, hence

forecast for week 6 = (25 + 30 + 17) / 3 = 24 (option A)

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For the absolute maximum to occur at x=2/3, we must have g'(2/3)=0. Solving this equation gives b=2/3.

To determine the value of b that results in an absolute maximum at x=2/3, we must use the first derivative test. This test states that if a function has a critical point at x=a, the point will be an absolute maximum if the first derivative of the function evaluated at x=a is equal to zero. In this case, the first derivative of g(x) with respect to x is g'(x)=\(e^(-x)\)-\(xe^(-x)\). Setting g'(x)=0 and solving for x gives x=2/3. Substituting x=2/3 into the equation for g'(x) gives us \(e^(-2/3)-(2/3)e^(-2/3)=0\), which can be rearranged to give b=2/3. Therefore, for a positive value of b, g(x) has an absolute maximum at x=2/3 when b=2/35. This can be verified by evaluating g''(2/3), which is equal to \(-2/3e^(-2/3)\). Since this value is negative, it indicates that g(x) has a local maximum at x=2/3.

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Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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Using ratio-proportion method converted weight : 135 pounds = 61.4 kg.

Metric System Conversions Metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.

These base units can be used in various combinations to derive larger or smaller units.

The following are the metric prefixes that you can use in conversions: Tera, giga, mega, kilo, hecto, deka, deci, centi, milli, micro, nano, pico.

The metric system conversions involves moving the decimal point to the left or right, and adding zeros where necessary.

You need to memorize the relation of one unit of measure to another.

For example, 1 kilometer = 1000 meters, 1 meter = 1000 millimeters, and 1 millimeter = 1000 picometers.

Fluids are usually measured in ounces, teaspoons, and tablespoons, as well as household measures, which are exceptions to using the metric system today. 1 fluid ounce is equal to 30 mL, and 1 quart is equal to 946 mL.

Weight is also an exception, with scales that often give weights in pounds. 1 kilogram is equal to 2.2 pounds.

Thus, to convert weight measurements, use ratio-proportion.In converting 135 pounds to kg, we use ratio-proportion as follows:

2.2 pounds = 1 kg

135 pounds = x kg

Cross-multiplying the ratio-proportion, we have:

2.2 × x = 135

Simplifying, we get:

x = 135 ÷ 2.2

x = 61.36 kg, which can be rounded to 61.4 kg.

Thus, 135 pounds is equal to 61.4 kg.

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Answer:

empezando multiplicar todos los números seria un total de 1785  que lo pondremos con m3  que un metro cubico seria 1000L entonces con los 1785 los ponemos por 1 000  

Step-by-step explanation:

respuesta 1 785 000

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

x = 4.8

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

Answer:

A polynomial is a set of terms, typically having 2 or more.

Step-by-step explanation:

A polynomial is a general term for having 2 or more. They can be broken down to being more specific.

For example:

The polynomial of 2 terms is known as a binomial.

The polynomial of 3 terms is known as a trinomial.

The polynomial of 4 terms is known as a quadrinomial.

etc.

~

The other options listed in the question, such as "control survey" and "creative", are not related to this approach.

The feedback approach described in the statement is known as a 360-degree feedback approach. In this approach, feedback is gathered from multiple sources, including peers, supervisors, subordinates, and sometimes even customers or clients.

This feedback is typically anonymous and is compared with the individual's self-evaluations. The goal of the 360-degree feedback approach is to provide a more comprehensive and objective evaluation of an individual's performance, skills, and behaviors, by including the perspectives of multiple stakeholders who have different vantage points on the individual's work.

The other options listed in the question, such as "control survey" and "creative", are not related to this approach.

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Total revenue, R(x) The formula to find the revenue of a company is given by; R(x) = x . p(x) where,R(x) = Revenue per suitp(x) = Price per suit x = Number of suits To find p(x), we use the formula; p(x) = 170 - 0.75x

Therefore, R(x) = x . (170 - 0.75x)

R(x) = 170x - 0.75x²b)

Total Profit, P(x)The formula to calculate total profit is given by;

P(x) = R(x) - C(x)where,C(x) = Total cost of producing x suits

.P(x) = (170x - 0.75x²) - (5000 + 0.5x²)P(x) = -0.75x² + 169.5x - 5000c) To maximize profit, we need to find the derivative of the profit equation with respect to

x.P(x) = -0.75x² + 169.5x - 5000

Taking the derivative of

P(x);P'(x) = -1.5x + 169.5

Equating P'(x) to zero

;P'(x) = 0-1.5x + 169.5 = 0x = 113

Therefore, the company must produce and sell 113 suits to maximize profit. We know that

P(x) = -0.75x² + 169.5x - 5000.

Substituting x = 113 in this equation will give the maximum profit.

P(113) = -0.75(113)² + 169.5(113) - 5000P(113) = $7069.25

Therefore, the maximum profit is

$7069.25.e) What price per suit must be charged to maximize profit?We know that

p(x) = 170 - 0.75x.

Substituting x = 113;

p(113) = 170 - 0.75(113)p(113) = $87.25

Therefore, to maximize profit, the company must charge $87.25 per suit.

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Step-by-step explanation:

Rational number because it's terminating

Answer: 1/6.

Step-by-step explanation:

3/18 is just 1/6 because you have to divide the numerator and denominator by 3.

Answer:

6.9

hope this helps

\( \to \sf6x - 3(2x - 1)\)

\( \\ \\ \)

\( \to \sf6x - 6x + 3\)

\( \\ \\ \)

\( \to \sf0 + 3\)

\( \\ \\ \)

\( \to \sf 3\)

Answer:

No, stencil two does not overlap the original pattern exactly. Not all the points on stencil two coincide with the points on the original pattern. There is a subtle difference near the boundaries of the two shapes.

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

we have to make an equation out of the points given, so the slope is change in y / change in x = 85-80/2-1 = 5 (I used the points 1,80 and 2,85 to find this but it would be the same no matter what two points you took).

then we need to find the y intercept.

we are making it into y=mx+b. m is 5 (the slope) and b is the y intercept.

we find this by plugging the slope into a random point on the chart.

85 = (5)(2) + b

b=75

y=5x+75

to get a 97:

97=5x+75

22=5x

x=22/5 or 4.4 hours, so I'd guesstimate 4 hours

Answer:

144 boys and 384 girls

Step-by-step explanation:

8 girls to every 3 boys. You can make an equation to solve this: 8x + 3x = 528. 528 = 11x. Then divide 528 by 11 to get 48. x=48. 8(48) = 384 girls. 3(48) = 144 boys.

Answer:

Answer:

39 SIR

Step-by-step explanation:

The limit of {an} as n approaches infinity is infinity, the sequence {an} diverges.

To determine whether the sequence {an} converges or diverges, we can take the limit as n approaches infinity and see what happens.

lim(n→∞) an = lim(n→∞) (n⁴ / n³ - 4n)

To make things easier, we can divide both the top and bottom by the cube of n.

lim(n→∞) an = lim(n→∞) (n⁴/ n³ - 4n) = lim(n→∞) (n / (1 - 4/n²))

As the value of n keeps increasing, the denominator 1-4/n^2 gets closer to the value of 1, allowing for further simplification.

lim(n→∞) an = lim(n→∞) (n / (1 - 4/n²)) = lim(n→∞) (n / 1) = ∞

Since the limit of {an} as n approaches infinity is infinity, the sequence {an} diverges

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Answer:

$48

no idea how working out would go

Answer: $48

Step-by-step explanation: First convert 20% to a decimal which is 0.2 or 0.20.

Then multiply 60 x 0.20 which equals 12.

Because it is a markdown then you must subtract 12 from 60 which gives you the answer $48.

I hope this helps!! Good Luck!

A 2% solution of Minoxidil has been moderately effective for about 50% of men who have used it. Minoxidil is a vasodilator that was initially developed to manage hypertension.

Minoxidil, a medication that is applied topically, is used to cure hair loss in males and females, although it is more often used in men. It works by stimulating hair growth and slowing down hair loss.Minoxidil, a vasodilator, increases blood flow to the hair follicles, allowing them to produce thicker and longer hair. It is sold under various brand names, including Rogaine, Regaine, and Avacor Physician's Formulation, and is available in various strengths, including 2% and 5%.Minoxidil is more effective in treating androgenetic alopecia, also known.

As male pattern baldness, than other types of hair loss. It is believed that minoxidil promotes hair growth by increasing the diameter of the hair shaft, resulting in thicker and longer hair growth.Minoxidil is used to treat male and female pattern baldness (androgenetic alopecia) by applying it topically to the scalp. However, like any medication, there may be side effects, such as skin irritation, burning, or itching. As a result, it is recommended that people use it under the supervision of a physician.

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Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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To find the initial cost of the bedspread before the 15% discount, we can use the formula:

Initial cost = Final cost / (1 - Discount rate)

In this case, the final cost is $38.25, and the discount rate is 15% or 0.15.

Initial cost = $38.25 / (1 - 0.15)

Initial cost = $38.25 / 0.85

Initial cost ≈ $45

Therefore, the initial cost of the bedspread before the 15% discount is approximately $45.