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2³ × 3 × 5² is the prime factorization of the composite number 600.

Composite numbers are whole numbers that can be divided evenly by numbers other than 1 or themselves. For example, 4 is a composite number because it can be divided evenly by 1, 2, and 4. Other examples of composite numbers are 6, 8, 9, 10, 12, 14, 15, and so on.A composite number is a positive integer that has more than two divisors. It is the product of two or more prime numbers. Examples of composite numbers include 4, 6, 8, 9, 10, 12, 14, 15, 16 and so on.

2³ × 3 × 5² = 2 × 2 × 2 × 3 × 5 × 5

= 600

Thus, 2³ × 3 × 5² is the prime factorization of the composite number 600.

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Answer:

its 204cm3

Step-by-step explanation:

2x5x6=60

8x3x6=144

144+60=204

hope this helps!

Using it's concept, the experimental probability of getting an odd number and a number greater than 6 is given by:

1/5.

A probability is given by the number of desired outcomes divided by the number of total outcomes. An experimental probability is calculated considering the results of previous trials.

In this problem, there are 10 trials, and of those, 2 of them, trial 8 and trial 10, resulted in an odd number and a number greater than 6, hence the probability is:

p = 2/10 = 1/5.

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Answer:

x(3x+14)

Step-by-step explanation:

what do those terms share? they share the letter "x"

therefore we multiply x by 3x^2/x + 14x/x

3x^2/x = 3x and 14x/x = 14

The measure of the acute angles are 62° and 28° .

Let x represent the measure of one of the acute angles of the right angle triangle.

Let y represent the measure of the other acute angle of the right angle triangle.

One of the acute angles in a right triangle measures 22 degrees less than 3 times the other acute angle. This means that

x = 3y - 22

The sum of two acute angles in a right triangle is 90 degrees.

We write as

x + y = 90 - - - - - - - (1)

Substituting x = 3y - 22 into equation 1, it becomes

3y - 22 + y = 90

4y = 90 + 22= 112

y = 112/4 = 28

x = 90 - y = 90 - 28

x = 62

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Answer:

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

Answer:

2

1. multiply 6/1 x 1/3

2. you get 6/3

3. simplify and you get 2

For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.

The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.

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The person can buy a total of 36 distinct systems from three models of the basic unit, three models of keyboard, and four models of printer.

Given, a person buying a personal computer system is offered a choice of three models of the basic unit, three models of keyboard, and four models of printer.

we have to find the number of distinct systems that can be purchased.

Using the concept of Permutations and Combinations, we get

Choose One model of basic unit from three models, Choose one model of keyboard from three models of keyboards and also choose one model of printer from four models of printers.

C(3 , 1)×C(3 , 1)×C(4 , 1)

= 3×3×4

= 36

So, the total of 36 systems can be purchased.

Hence, the total of 36 systems can be purchased.

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Answer:

see explanation below

if you have any questions on equation you can send it to me

Step-by-step explanation:

We have various of ways in which we can simplify an equation

for example

simplify: 2x – 4 = 10

soln

2x – 4 = 10

since we are looking for x we need to collect like terms

2x = 10 + 4

2x = 14

Then we will divide both sides by 2 to get x

x = 14/2

x = 7

N.B:- after solving an equation if you want to check the answer just substitute for the value

2x – 4 = 10

2(7) – 4 = 10

14 – 4 = 10

10 = 10

LHS = RHS

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Vì tam giác ABC cân tại A (gt) mà AM là đg trung tuyến nên AM đồng thời là đg cao của t/giác đó:

AM là trung tuyến của t/giác ABC nên M là trung điểm BC:

=> BM =BC/2 =6:2=3(cm)

Xét tam giác AMB vuông tại M

AB^2 =AM^2+BM^2 ( theo định lý Py-ta -go)

Answer:

D.27

Step-by-step explanation:

I took a picture of my work doing a explanation.

(sorry for the messy hand writing)

Answer:

292 and 2092

Step-by-step explanation:

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

Total : 240 + 600 + 90 = 730

So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292

Total: 292 + 1800 = 2092

The total cost of paint would be 2092 dollars.

The area of the cuboid is the sum of product of the length, breadth of the given prism.

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

The Total area: 240 + 600 + 90 = 730

So, The cost of painting = 730/25 x 10

= 29.2 x 10

= 292

Total: 292 + 1800 = 2092

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Answer:

a = 151 degrees

Step-by-step explanation:

180 - 29 = 151

Answer:

151

Step-by-step explanation:

180 -29 = 151

Answer:

the answer is D

Step-by-step explanation:

Answer

Answer is D - Line h has points on planes R, P, and T.

Step-by-step explanation:

trust the process

Answer:

4-square root 2/2

Step-by-step explanation:

Answer:

B. 4

Step-by-step explanation:

\(7 \sqrt{7x} = \sqrt{49 \times 7x} \)

49 × 7x = 343x

14√7 = √(1372)

1372 ÷ 343 = 4 this is the vaule of x.

The area of the vegetable garden is 16.5 square meters.

You can use the following formula to determine a trapezoid's area:

The trapezoid has a height of 3 meters, a base1 of 4 meters, and a base2 of 7 meters—area = (base1 + base2) * height / 2. When these numbers are put into the formula, we get:

Region = (4 + 7) * 3/2

= 11 * 3/2

= 33/2

= 16.5 square meters

Thusly, the region of the vegetable nursery is 16.5 square meters.

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Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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It's also crucial to communicate and involve stakeholders in the risk management process to ensure a comprehensive understanding of the potential risks and their potential impacts.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

You are correct that estimating the risk level can be challenging in situations where the probability of deviation is high. When there are numerous people involved in a particular risk, such as in large-scale projects or complex systems, it can further complicate the estimation process.

Here are a few reasons why estimating risk in such scenarios can be difficult:

1. Uncertainty: High-risk situations often involve a degree of uncertainty. The future outcomes and potential deviations may not be fully known or predictable, making it challenging to quantify the risk accurately.

2. Complex Interdependencies: In situations involving a large number of people or complex systems, there are often intricate interdependencies at play. Changes or deviations in one area can have cascading effects, making it difficult to isolate and assess the specific risk factors involved.

3. Limited Data: Estimating risk relies on historical data, statistical analysis, and expert judgment. However, in novel or rapidly evolving situations, there may be limited historical data available to inform risk assessments. This lack of data can make it challenging to assess the likelihood and impact of potential deviations.

4. Human Factors: Human behavior and decision-making introduce additional uncertainties. In situations involving a large number of people, the actions and decisions of individuals can influence the overall risk profile. Predicting human behavior accurately can be challenging, especially in complex or high-stress environments.

Given these challenges, it is important to employ robust risk management strategies. This includes gathering as much relevant data as possible, engaging subject matter experts, conducting thorough analyses, and continuously monitoring and reassessing risks as the situation evolves. It's also crucial to communicate and involve stakeholders in the risk management process to ensure a comprehensive understanding of the potential risks and their potential impacts.

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The equation graphed is  y = 0.003(x - 50)² - 7.5

The bridge sags the most 7.5 feet from the left bank

A 3-foot will be eve with the river at about 11 feet and 87 feet from the left bank

Standard vertex form, y = a(x - h)² + k    

The vertex from the graph is

v (h, k) = (50, -7.5)

y = a(x - 50)² - 7.5

solving for using (0, 0)

0 = a(0 - 50)² - 7.5

a = 7.8 / 50²

a = 0.00312

hence the equation is y = 0.003(x - 50)² - 7.5

where y = -3 from the graph the point is traced to be  approximately 11 feet and 87 feet from the left bank

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The rate of each plane is,

First plane = 110 mph

Second plane = 15 mph

Let x = rate of the slower plane (First plane!)

x + 45 = rate of the faster plane (Second plane!)

The planes fly for 3 hours, where Distance = RT

Distance between the planes = SUM of the distances.

RT + RT= 795 miles

3x + 3(x + 45) = 795

3x + 3x + 135 = 795

6x + 135 = 795

6x = 795 - 135

6x = 660

x = 110 mph First plane

And, x + 45 = 110 + 45 = 15 mph Second plane.

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Answer:

18

Step-by-step explanation:

Answer:

X = 2, Y = 0

Step-by-step explanation:

Add the two equations together to cancel out -4y and +4y

leaving you with:

8x = 16

8x = 16

divide both sides of the equation by 8 to get x on its own (8x/8 = x, 16/8 =2)

leaving you with:

x = 2

substitute the value of x back into the equation to calculate y (it can be either equation, top or bottom):

8(2) - 4 y = 16

8 x 2 = 16

leaving you with:

16 - 4y = 16

subtract 16 from both sides to get 4y on its own

leaving you with:

-4y = 0

so y = 0, and x = 2

To find out how much lace Ms. Regan needs to purchase, we first need to calculate the circumference of the circular quilt. We know that the area of the quilt is 28.26 square feet, and we can use the formula A = πr^2 to find the radius of the quilt.

28.26 = 3.14 x r^2

r^2 = 9

r = 3

Now that we know the radius is 3 feet, we can use the formula C = 2πr to find the circumference of the quilt.

C = 2 x 3.14 x 3

C = 18.84 feet

Therefore, Ms. Regan needs to purchase 18.84 feet of lace to go around the outside of her circular quilt.

In summary, to find out how much lace Ms. Regan needs to purchase, we need to calculate the circumference of the circular quilt. We do this by first finding the radius using the formula A = πr^2. Once we know the radius, we can use the formula C = 2πr to find the circumference. In this case, the circumference is 18.84 feet, so Ms. Regan needs to purchase that amount of lace.

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Answer:

(3. 5) (0,2)

Step-by-step explanation:

You just let x2-4x +2 =x+2

Then count x

X got 2 answer 0 and 3

Then put the answer in the equation y=x+2

Then find the y