14. What are the necessary steps one must take when designing a logic circuit from a description of the problem?

Answer:

2^(15)

Step-by-step explanation:

32³ wants to be expressed in base 2.

Now,let's express 32 in terms of 2. This gives; 32 = 2 × 2 × 2 × 2 × 2.

This means 32 = 2^(5)

Thus; 32³ = (2^(5))³

In indices the 5 will multiply the 3 to give;

32³ = 2^(15)

Answer:

The x-coordinate is negative, and the y-coordinate is negative.

Step-by-step explanation:

(x, -y)

When you reflect over the y-axis, the x-coordinate becomes negative:

(-x, -y)

Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

Answer:

x = (7/2) - (y/2)

Step-by-step explanation:

Answer:

3:1

Step-by-step explanation:

Answer:

The simplest form of 279 is 31.

Step-by-step explanation:

Hope this helps

Answer:

the length of each edge is 6 inches

Step-by-step explanation:

sorry if wrong im not the best at math

Answer:

The edge length is 6 inches.

Step-by-step explanation:

s = cube side

s³ = 216

s = 6

6 × 6 × 6 = 216 in.³

(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression.  The correct is option (C).

The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).

We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .

Let us simplify the given expression.

((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)

Now, we need to compare this expression with the expressions given in the answer choices.

Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.

Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.

Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.

Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).

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Answer:

3 meters

Step-by-step explanation:

Number of shelves = 4

Length of each shelf = 0.55 meter long

Total length of 4 shelves = 4 × 0.55 meters

= 2.2 meters

Since he can only buy the shelving in whole meter lengths.

Pedro will need to buy 3 meters of shelving

He couldn't buy 2 meters because of the remaining .2 meters from 2.2 meters, therefore, the nearest whole meter length to 2 meters is 3 meters

The probability of choosing a 't' or an 'e' from the word 'committee' = 4/9

We know that the formula for the probability of an event is given by,

P = number of favourable outcomes / total number of possible outcomes of an event

Let us assume that event A : choosing a letter 't'  from the word 'committee'

and event B: choosing a letter 'e' from the word 'committee'

Here, sample space is the number of letters in the the word 'committee'

So, n(S) = 9

We know that there are two 't' letters in the the word 'committee'

So, n(A) = 2

And there are 2 'e'  letters in the the word 'committee'

So, n(B) = 2

To find the required probability, the number of favourable outcomes

= 2 + 2

= 4

So, the required probability would be:

P = 4/9​

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Answer:

3m×4m×6m

9m×8m×1m

12m×2m×3m

Step-by-step explanation:

Just multiply the different values

Answer:

U = 16206 + 22.2x

Step-by-step explanation:

This year, water usage has increased by 20% for both regular days and special events.. Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted

Solution:

Last year regular usage of water was 13505 gallons, where as it was 18.5 gallons per special event. Let us assume that there were x special invents, hence:

The total usage for last year = 13505 + 18.5x

This year, the total usage (U) increased by 20%, hence:

Total usage for this year (U) = total usage for last year + 20% of total usage for last year

U = (13505 + 18.5x) + 0.2(13505 + 18.5x)

U = 13505 + 18.5x + 2701 + 3.7x

U = 16206 + 22.2x

Answer:

16524534887

Step-by-step explanation:

Answer:

16524534887

Step-by-step explanation:

just multiply, takes a while but you can do it

or you can just use a calculator

Statisticians calculate the Consumer Price Index (CPI) by combining the 80,000 prices of individual products using a weighted average based on their relative importance or expenditure weights.

The Consumer Price Index is a measure of the average change over time in the prices paid by urban consumers for a basket of goods and services. To calculate the CPI, statisticians collect price data for a representative sample of approximately 80,000 individual products that are commonly purchased by urban consumers. These products cover a wide range of categories, including food, housing, transportation, healthcare, and more.

Each product's price is then multiplied by its respective expenditure weight, which represents the proportion of total consumer spending allocated to that product. These weights are determined through surveys and data analysis to reflect the typical spending patterns of urban consumers. The resulting values are then summed up to obtain a total expenditure amount.

To calculate the CPI, statisticians divide the total expenditure by a base period expenditure and multiply the result by 100. The base period is typically a reference point or benchmark year against which the price changes are measured. This process allows for tracking and comparing price changes in the basket of goods and services over time, providing insight into inflation and changes in the cost of living.

In summary, statisticians calculate the Consumer Price Index by combining the prices of 80,000 individual products using a weighted average based on their expenditure weights, representing the relative importance of each product in urban consumers' spending patterns. This method allows for measuring and monitoring changes in the overall price level and cost of living.

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Using Binomial probability distribution,

X = 20, 0.15

P (X ≤ 3) =\(20 C_{0} (0.15)^{0} (1-0.15)^{20} + 20C_{1} (0.15)^{1} (1-0.15)^{19} + 20C_{2} (0.15)^{2} (1-0.15)^{18} + 20C_{3} (0.15)^{3} (1-0.15)^{17}\)

P(X ≤ 3) = 0.648

P (X ≥ 3) = 1 - P(X ≤ 3) = 1 - 0.648

P ( X ≥ 3) = 0.352

Therefore, thee required probability is 0.352.

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SSS, SAS, ASA, AAS, and HL, or Hypotenuse Leg for right triangles only, stand for Side Side Side, Side Angle Side, Angle Side, and Angle Angle Side, respectively.

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

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The number of T-shirts bought by the Brandywine Dance Team is 24.

The number of the T-shirts that the Brandywine Dance Team purchased is determined using basic mathematical operations of division, subtraction, addition, and multiplication.

First, the cost of the equipment is subtracted from the total cost spent by the team.  The remainder refers to the cost of the T-shirts.  Since one T-shirt costs $12, the total quantity of T-shirts bought is 24.

The total amount spent = $644

The cost of the equipment = $356

The remainder after the equipment = $288 ($644 - $356)

Unit cost of T-shirts = $12

The number of T-shirts bought = 24 ($288/$12)

Thus, the Brandywine Dance Team bought 24 T-shirts.

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How many T-shirts were purchased by the Team?

Answer:544

Step-by-step explanation:43 + 25 = 68

68 × 8 = 544

The area of the pentagon with an apothem of 10 units is approximately 353.55 square units.

Area = (Perimeter × Apothem) / 2

Central angle = 360° / 5 = 72°

To find the area of a regular pentagon with an apothem of 10 units, we can use the formula:

Area = (Perimeter × Apothem) / 2

Central angle = 360° / 5 = 72°

Now, consider the right triangle formed by half of a side, the apothem, and the radius. The angle between the apothem and the radius (half of the central angle) is:

Angle = 72° / 2 = 36°

In the right triangle, we have:

tan(36°) = (s/2) / 10

Solving for s:

s = 2 * 10 * tan(36°) ≈ 14.142 units (rounded)

Now that we have the length of one side, we can calculate the perimeter of the pentagon:

Perimeter = 5 * s ≈ 5 * 14.142 ≈ 70.710 units (rounded)

Finally, we can find the area of the pentagon using the formula:

Area = (Perimeter × Apothem) / 2

Area = (70.710 × 10) / 2

≈ 353.55 square units (rounded)

The area of the pentagon with an apothem of 10 units is approximately 353.55 square units.

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The expected value is the average value that can be expected from a given set of data, and is calculated by summing up all of the possible outcomes multiplied by their respective probabilities, and dividing by the total number of outcomes.

The expected value on a calculator is the average value that can be expected from a given set of data. The formula for the expected value is the sum of all of the possible outcomes multiplied by their respective probability, divided by the total number of outcomes. For example, if there are three possible outcomes \((x1, x2, and x3)\) with probabilities of P1, P2, and P3, the expected value is \((x1*P1 + x2*P2 + x3*P3) / (P1 + P2 + P3)\).

For example, if you have three possible outcomes of 1, 2, and 3 with respective probabilities of 0.2, 0.5, and 0.3, then the expected value is \((1*0.2 + 2*0.5 + 3*0.3) / (0.2 + 0.5 + 0.3) = 2.\)

It is important to note that the expected value is not necessarily the most likely outcome of a given set of data. It is simply the average value that can be expected from the data. It is also important to note that the expected value is only valid if all of the probabilities sum to 1.

The expected value is the average value that can be expected from a given set of data, and is calculated by summing up all of the possible outcomes multiplied by their respective probabilities, and dividing by the total number of outcomes.

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One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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The area covered by the pool and the cement walkway is 304  square feet. The width of the walkway would be 5 feet

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be represent the width of the walkway.

The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway =  25+ x + x = 25 + 2x

The total width of the pool and the walkway = 10 + x + x = 10 + 2x

The area covered by the pool and the cement walkway is 304  square feet. This means that;

(25 + 2x)(10 + 2x) = 304

250 + 50x + 20x + 4x^2 = 304

4x^2 + 70x + 250 - 304 = 0

4x^2 + 70x - 54 = 0

x(x + 20) - 5(x + 20) = 0

(x - 5)(x + 20) = 0

x = 5 or x = - 20

Thus The width cannot be negative.

Therefore, the width of the walkway is 5 feet.

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The number of days Bilquis can afford to rent while staying within her budget is 2 days.

The question has the following data

amount charged =  $48

Rent per mile = $0.08

The mile to drive = 175 miles.

Amount to spend = 110 dollars

The inequality would be written as

48x + 0.08(175) ≤ 110

we are to solve for the value of x

this would be

48x + 14 ≤ 110

48x ≤ 110 - 14

48x ≤ 96

We have to divide through by 48

x ≤ 96 / 48

x ≤ 2

Hence we can say that the number of days Bilquis can afford to rent while staying within her budget is 2 days.

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Answer:

-1

Step-by-step explanation:

trust me\(hello!\)

Answer: A. 3 ways: k, DE, ED (both DE and ED have line markers over top)

To name a line, we just need two points on the line. We list them in any order because the line extends forever in both directions. Contrast this with a ray where order does matter. The little k is another way to name a line, potentially simplifying things.

Choice B is close, but it mentions ray DE instead of line DE. Choice C is missing line ED. Choice D is a similar story as choice B. These facts allow us to rule out B through D.

Step-by-step explanation:

Area of this kit = 1/2 (gf * hf)    

   258 yd^2  = 1/2 (43 * HF )

      HF =   258 *2 / 43 = 12 yds

Answer:

I think it's 56 is the answer

The 50th partial sum s50 of the alternating series is an underestimate of the total sum. This is because the alternating series test theorem states that the alternating series converges to a value between the last negative term and the last positive term.

Thus, the alternating series can be overestimated by using the last positive term and underestimated by using the last negative term. Let's consider an example. Suppose we have the alternating series $$1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4} + \frac{1}{5} - \frac{1}{6} + \cdots$$

The last positive term is $$\frac{1}{5}$$ and the last negative term is $$-\frac{1}{6}$$.

Therefore, the alternating series converges to a value between

$$\frac{1}{5}$$ and $$-\frac{1}{6}$$.

So, if we take the 50th partial sum s50, which is a sum of the first 50 terms of the series, we are using the last negative term as the last term. Therefore, s50 is an underestimate of the total sum of the series.

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Answer:

2250

Step-by-step explanation:

2 tons = 4000

4000 - 1750 = 2250

Hope this helps!!!

2250 pounds of weight remains.

The weight of an object exists as the force acting on the object due to gravity. Some standard textbooks determine weight as a vector quantity, the gravitational force acting on the object. Others describe weight as a scalar quantity, the magnitude of the gravitational force.

As we know that ,

1 tons =  2000 pounds

2 tons = 4000 pounds

therefore,

4000 - 1750 = 2250

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