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Polly’s room is a rectangle. It has a width represented by the expression 4x – 2 and a length represented by the expression
2x – 5. If the room has a perimeter of 73 feet, find the area of Polly’s room.

Answer:

198 pancakes.

Step-by-step explanation:

Answer:

198

Step-by-step explanation:

The minimum amount of fencing must be used to build his pen is . 505.96 ft.

Farmer Alex has 32 llamas each of whom needs 10000 square feet.

Now the area of rectangle is A = x.y

Where, x = length of grazing field

And y =  width of the grazing field

Now, the total required area

32000 = x.y

y = 32000/x

Now, find the equation of perimeter of the rectangular pen:

The perimeter P = 2x + 2y

As, the one side of pen is along with the river

P = x + 2y

Now, find the minimum area of fencing:

P = x + 2(32000/x)

So for minimum perimeter:

Using a graphing tool (see attached figure)

The vertex of the graph is the point of minimum perimeter.

The vertex is point (252.98,505.96)

That means :

x = 252.98

And , minimum perimeter is 505.96

Now the value of y

y = 32000/x

y = 32000/252.98

y = 126.49

Hence, The minimum amount of fencing must be used to build his pen is 505.96ft.

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The magnitude of Fowler's operating leverage can be calculated using the formula: Operating Leverage = % Change in Operating Income / % Change in Sales

To find the magnitude, we need to compare the percentage change in operating income to the percentage change in sales.

However, the information provided does not include any percentage changes, so we cannot calculate the exact magnitude.

The given options are: 1.35, 1.29, 1.15, and 2.88. Since we cannot calculate the exact magnitude, we can only choose the closest option based on the available information.

Without any additional context or data, it is not possible to determine the correct answer. However, based on the given options, the nearest choice to 1.35 would be the correct answer.

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The required equation which models the given situation is

h = 30000 - 2000t

After 5 minutes the plane is at a height of 20000 feet

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Height of the plane above the ground = 30000 feet

Rate of descent = 2000 feet per minute

Let the time of descent be t minutes

So Height of plane after t minutes = (30000 - 2000t) feet

Let the height of the plane after t minutes be h feet

h = 30000 - 2000t is the required equation

Height of plane after 5 minutes = 30000 - 2000 \(\times 5\)

                                                     = 30000 - 10000

                                                     = 20000 feet

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Answer:1

Step-by-step explanation:

4x-4x+4=4h(x)

4=4h(x)

h(x)=1

h(-3)h(-3)=(1)(1)=1

Answer:

Step-by-step explanation:

To solve for the variable n in the equation 1/3 = n + 3/4, you can follow these steps:

Subtract 3/4 from both sides of the equation to isolate the variable n on one side:

1/3 - 3/4 = n

Find a common denominator for 1/3 and 3/4, which is 12. Multiply the numerator and denominator of 1/3 by 4 to get 4/12, and multiply the numerator and denominator of 3/4 by 3 to get 9/12:

4/12 - 9/12 = n

Simplify the expression on the left side of the equation by subtracting the numerators:

-5/12 = n

Rewrite the solution as a fraction or mixed number in simplest form:

n = -5/12

Therefore, the solution to the equation 1/3 = n + 3/4 is n = -5/12.

The total fluid force exerted on each vertically oriented porthole with a 3 ft diameter and a center located 50 ft underwater is approximately 28,274 pounds. The fluid force on a horizontally oriented porthole under 50 ft of water is also approximately 28,274 pounds.

The pressure at a given depth in a fluid is given by the equation P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth.

In this case, the depth of the vertically oriented porthole is 50 ft. We assume the density of water to be approximately 62.4 pounds per cubic foot, and the acceleration due to gravity is approximately 32.2 ft/s². Plugging these values into the equation, we can calculate the pressure at the depth of the porthole:

P = (62.4 lb/ft³) * (32.2 ft/s²) * (50 ft) = 100,080 lb/ft²

To find the fluid force exerted on the porthole, we need to multiply the pressure by the area of the porthole. The area of circle is given by the formula A = πr², where r is the radius of the circle. In this case, the radius is half the diameter, which is 1.5 ft. Thus, the area of the porthole is:

A = π * (1.5 ft)² = 7.07 ft²

Now, we can calculate the fluid force:

Fluid Force = Pressure * Area = 100,080 lb/ft² * 7.07 ft² ≈ 28,274 lb

Therefore, the total fluid force exerted on each vertically oriented porthole is approximately 28,274 pounds.

For the horizontally oriented porthole under 50 ft of water, the fluid force would be the same as the vertically oriented porthole.  Hence, the fluid force on the horizontally oriented porthole is also approximately 28,274 pounds.

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The solutions for the given equations are: \(x = 3, 4, 2, -1\) . To solve these equations, we need to apply some rules of exponents.

Let's go through each equation step by step:

\(9^x : 3^x = 27:\)  To simplify the left side of the equation, we can rewrite 9 as 3^2. Using the quotient rule of exponents, we get\((3^2)^x : 3^x = 27\). Applying the power of a power rule, we have \(3^(2x) : 3^x = 27\).

\(16/(-2)^x = 1\): Here, we have a negative base. We can rewrite (-2)^x as (-1)^x * (2^x). Now, substituting this into the equation, we get\(16 / ((-1)^x * (2^x)) = 1\).

\(5^2.5^x = 5^5\): Using the product rule of exponents, we can combine the bases and add the exponents. Thus, we have \(5^(2 + x) = 5^5.\)
4. \(3^-1 . 3^x + 9 . 3^x = 28\): Applying the product rule of exponents, we have \(3^(-1 + x) + 9 . 3^x = 28\). Combining the terms on the left side, we get\(3^(x - 1) + 9 . 3^x = 28\)

\((x - 3)^2 = 1\): Taking the square root of both sides, we have\(x - 3 = ±√1.\)

\((2x - 1)^3 = -27\)  Taking the cube root of both sides, we have \(2x - 1 = -3\). Solving for x, we get\(2x = -3 + 1\), which gives us 2x = -2. Finally, x = -1 is the solution.

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The solutions for the given equations are: x = 3, 4, 2, 3/2, -1.

To solve the given equations, let's break them down one by one:

1. \(9^x : 3^x = 27\):
  We can rewrite 27 as \(3^3\). Using the rule of exponents, we can rewrite the equation as \((3^2)^x : 3^x = 3^3\). Simplifying further, we get \(3^{(2x - x)} = 3^3\). Therefore, 2x - x = 3, and x = 3.

2. \(\frac{16}{(-2)^x} = 1\):
  Rewrite 16 as \(2^4\). Applying the rule of exponents, we have \(\frac{2^4}{(-2)^x} = 1\). Rearranging the equation, we get \(2^{(4 - x)} = 1\). Since any number raised to the power of 0 is 1, we have 4 - x = 0. Therefore, x = 4.

3. \(5^2.5^x = 5^5\):
  Using the rule of exponents, we can rewrite the equation as \(5^{(2 + x)} = 5^5\). Since the bases are the same, we can equate the exponents, giving us 2 + x = 5. Thus, x = 3.

4. \(3^{-1} \cdot 3^x + 9\cdot 3^x = 28\):
  Simplify the left side by applying the rule of exponents. We have \(3^{(-1 + x)} + 9.3^x = 28\). Let's rewrite 28 as \(3^3\). Now, equating the exponents, we have -1 + x + 1 + x = 3. Simplifying further, we get 2x = 3, so x = 3/2.

5. \((x - 3)^2 = 1\):
  Take the square root of both sides to get x - 3 = ±1. Solving for x, we have x = 4 or x = 2.

6. \((2x - 1)^3 = -27\):
  Take the cube root of both sides, giving us 2x - 1 = -3. Solving for x, we have x = -1.

In conclusion, the solutions for the given equations are: x = 3, 4, 2, 3/2, -1.

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The values of the three trigonometric ratios for angle L, in simplest form, are:

Given -

The triangle LMN is given in the question.

As the trigonometric properties of a triangle state that the value of sin, cos, and tan for the respective angle can be written as:

Using the above trigonometric properties, the value of sin(L):

Similarly, the value of cos(L):

And, the value of tan(L) is:

Therefore, the values of the three trigonometric ratios for angle L, in simplest form, are:

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The question you are looking for is given below:

What are the values of the three trigonometric ratios for angle L, in simplest form?

In the first scenario, where 9 human resource managers are randomly selected and we want to find the probability that exactly 6 of them say job applicants should follow up within two weeks, we can use the hypergeometric distribution since the sampling is done without replacement and the outcomes belong to two types. The probability is (Round to four decimal places as needed.)

First scenario: For the probability of exactly 6 out of 9 human resource managers saying applicants should follow up within two weeks, we use the hypergeometric distribution. Given A = 9 * 0.57 = 5.13 (rounded to the nearest whole number), B = 9 - A = 3.87 (rounded to the nearest whole number), n = 9, and x = 6, we can calculate the probability using the formula:

P(6) = (5 choose 6) * (3 choose 9-6) / (5+3 choose 9)

Second scenario: To find the probability of getting exactly 2 winning numbers with one ticket in the lottery game, we can again use the hypergeometric distribution. Here, A = 4 (number of winning numbers), B = 47 - A = 43 (remaining numbers), n = 4 (numbers chosen), and x = 2 (winning numbers selected). Using the formula:

P(2) = (4 choose 2) * (43 choose 4-2) / (4+43 choose 4)

By substituting the values into the formulas and performing the calculations, we can find the probabilities in both scenarios, rounding to four decimal places as needed.

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The equation of the quadratic function with vertex (4, 5) and passing through the point (0, 21) is y = (x - 4)² + 5.

To determine the equation of the quadratic function, we can use the vertex form of a quadratic equation, which is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola.

Given that the vertex is (4, 5), we can substitute these values into the equation: y = a(x - 4)² + 5

Now we need to find the value of 'a'. We can use the additional point (0, 21) that the quadratic function passes through. Substituting these coordinates into the equation, we have:

21 = a(0 - 4)² + 5

Simplifying:

21 = 16a + 5

16a = 21 - 5

16a = 16

a = 1

Substituting the value of 'a' back into the equation, we get:

y = 1(x - 4)² + 5

Simplifying further:

y = (x - 4)² + 5

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Answer:

well we know that top and botton are 12 and the sides are 5. there are 4 sides soo thats 4 times 5. so basically its 12x12x5x5x5x5 whick is 90000.

Step-by-step explanation:

sorry for the wait!

hope this helps!

please mark brainliest!

have a good day!

:) ;)

(if this is wrong im so sorry, i tried .;(

Let:

You can find the slope using the following formula:

The three algorithms that compute the greatest common divisor of two integers, m and n is Euclidean algorithm, binary GCD algorithm, and the Lehmer algorithm.

The greatest common divisor (GCD) of two integers, m and n, is the largest integer that divides both m and n without leaving a remainder.

There are three algorithms for computing the GCD of two integers: Euclidean algorithm, binary GCD algorithm, and the Lehmer algorithm.

The Euclidean algorithm is an iterative algorithm that divides the larger number by the smaller number and then the result of the division by the remainder. This process is repeated until the remainder is 0. The last non-zero remainder is the GCD.

The binary GCD algorithm is a variation of the Euclidean algorithm that replaces divisions with bit shifting and subtraction. It is especially suitable for computing the GCD of very large numbers.

The Lehmer algorithm is a variation of the Euclidean algorithm that uses the previous remainders in order to speed up the computation. This algorithm works well when the numbers have many common factors.

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The minimum value and median are used in the five-number summary.

A box and whisker plot displays a "box" with its left edge at Q₁, right edge at Q₃, "center" at Q₂ (the median), and "whiskers" at the maximum and minimum.

Given:

A five-number summary.

That means minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), and maximum value.

From the given choices:

The minimum value and median are the required measures.

Therefore, the minimum value and median are the required measures.

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Answer:

E: b/3+3

Step by step:

3 C= b

C + 3 = b/3 + 3                     (Adding 3 to both sides)

Answer: E: b/3 + 3

Hope this helps

The true statements about the linear equation are:

"The y-intercept means the initial cost is $60."

"The slope means the cost increases $40 each hour."

Remember that the general linear equation in the slope-intercept form is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here the linear equation is:

y = 40x + 60

Where y is the cost for hiring an electrician for x hours.

We can se that the slope is 40, so that is what the electrician charges per hour, and the y-intercept is 60, so that is the initial cost.

Then the true statements are:

"The y-intercept means the initial cost is $60."

"The slope means the cost increases $40 each hour."

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Answer:B and C

Step-by-step explanation:

The value of x is 15 provided that lines m and n are parallel to each other.

Alternate angles are opposite angles that are formed when a transversal cuts a line into two. In the given diagram, we have 6x - 5) forming an alternate interior angle with line m. So, we can find the sum of angles in a triangle to determine the value of x.

This implies that (6x + 5) + (6x - 5) = 180. (sum of angles in a triangle). By opening the brackets, we get:

6x  + 5 + 6x - 5 = 180

12x = 180

Divide both sides by 12

12x/12 = 180/12

x = 15

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Answer:

Step-by-step explanation:

6/36=1/6

Answer:

y = -6x - 3

Step-by-step explanation:

The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

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Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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Answer:

4(10x + 3)

Step-by-step explanation:

Since both 40 and 12 are divisible by 4, they can both be found when multipled by 4 and a different number

Answer:

2(20x + 6)

4(10x + 3)

Step-by-step explanation:

Answer: 25 inches (I have to write 20 characters so ummmm)

Answer:

here the answer is

If u want nore help please follow

Step-by-step explanation:

STEP 1: Draw a straight line with a ruler. STEP 2: Put the pin of a compass at the end of the line you want to bisect. Set the compass to more than half the length of the line, and draw an arc crossing the line. STEP 3: Keep the width of the compass the same, and from the opposite end of the line draw another arc.

Answer:

First, in your compass take more than half of the given line, i.e, if the line is 5 centimeters, then in the compass take a length more than five centimeters.

Second, Draw an arc, by keeping the compass needle on one end of the line, and do the same by keeping it on the other end.

Two of the arcs will intersect at a point.

Third, do the same, but in the back-ward direction, as in the below of the line. These two will also intersect.

Lastly, draw a line connecting the intersection of the top and below arcs.

I couldnt add the last pic because of the 5 attachments rule. Like I said in the last rule, just join the two arc intersections.

Thank You

Hope u understood

The most likely problem with the sample they gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".

Thus, the most likely problem with the sample lycos web site gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".

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The issue of too many proficient business-savvy programmers is least likely to arise in machine learning(ml) and artificial intelligence(ai).

What is machine learning?

The process by which computers learn to recognize patterns, or the capacity to continuously learn from and make predictions based on data, then make adjustments without being specifically programmed to do so, is known as machine learning (ML), a subcategory of artificial intelligence.

The operation of machine learning is quite complicated and varies according to the task at hand and the algorithm employed to do it. However, at its foundation, a machine learning model is a computer that analyzes data to spot patterns before using those realizations to better fulfill the work that has been given to it. Machine learning can automate any task that depends on a set of data points or rules, even the more difficult ones.

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Answer:

25x-100= a

let a= the amount of money for his goal????

Step-by-step explanation: