A power-generating windmill is being designed and will consist of a tower with three large blades that rotate on a central hub at the top of the tower. The height of the tower from the ground to the center of the hub where the 3 blades meet is 262 feet, and the length of the blades from the center of the hub to the tip of each blade is 148 feet. The tower is in the shape of a right circular cylinder that has a diameter of 40 feet, as shown in the figure.
As the blades rotate they span an area and displace the air in that area. In ‡ of a full rotation of one of the blades, which of the following is closest to the area, in square feet, that the blade
spans?

Answer:

$453,086.82

The interest payments are:

$273,086.82

Here's how I found this in the easiest way possible.

The picture is your explanation. I used a calculator.

Answer:

Step-by-step explanation:

The monthly payments amount:

Number of payments:

Total payment amount:

The amount of mortgage x, considering the APR:

Amount of down payment:

The cost of the mortgage:

We are given an angle of 60° and a side of 15 cm.

We are given the opposite and is looking for the hypotenuse so we will use the sine ratio to find x.

sin = opp/hyp

hyp = 15 / sin 60

hyp = 17.32...

//

We can also use the tangent ratio to find the adjecent and then use pythagorean to find x.

tan = opp/adj

adj = 15 / tan 60

adj = 8.660.....

8.660....² + 15² = 300²

since the square root of 300 is an irrational number, we have to turn it into a mixed radical.

The answer would be the top one.

The statement provides two conditions to evaluate the relationship between x and y. The relationship between x and y cannot be determined based on the given information.

The statement provides two conditions to evaluate the relationship between x and y.

(1) x > y: This condition alone does not provide enough information to determine the relationship between x and y. We don't know the specific values or any other constraints that could help establish a comparison.

(2) x^3 > y: This condition alone also does not provide enough information to determine the relationship between x and y. The relationship between x and y depends on the values of x and y, which are not specified in the given statement.

Without any additional information or specific values for x and y, we cannot determine the relationship between x and y based on the given conditions. The comparison of x and y depends on their specific values and the relationship between them, which are not provided in the statement.

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Answer:

0.23 or 0.230

Step-by-step explanation:

You can round it by looking at the hundredths place.

Look to the thousandths place, if its 5 or more, you round up, if its 4 or less you round down.

Answer:

the way that you do this is

Step-by-step explanation:

so the number goes from 0 as in the whole number and then the decimal indicates that the whole number getting separated by a whole bunch of other numbers which go by smaller factors they go from ten hundred thousand and so forth so for this equation you have 0.234 the hundreds is the three the reason why is because the two is the tenths and the four is the thousands the reason why it's the thousands is because there's four numbers in the entire number.  so that number (0.234) would be 0.23 rounded to the nearest hundreth because the 4 is less than 5 which makes the number go lower.    If it was 0.238 then the answer would now be 0.24 because it's higher then 5.  please give me brainliest.  

Given the principal and annual rate, the total amount accrued over the given period of time to the nearest hundredth is $2275.48.

Compound interest is expressed mathematically as;

A = P( 1 + r/n )^(n×t)

Given the data in the question;

Plug in the given values into the equation above.

A = P( 1 + r/n )^(n×t)

A = 1790( 1 + 0.08/365 )^( 365 × 3 )

A = 1790( 1 + 0.00021917808219178 )^( 1095 )
A = $2275.48

Given the principal and annual rate, the total amount accrued over the given period of time to the nearest hundredth is $2275.48.

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Answer:

the throwing back by a body or surface of light, heat, or sound without absorbing it.

"the reflection of light" The reflection factor of a body is the ratio of the light reflected by the body to the incident light.

To find the value of "p" from the polynomial x^2 + 3x + p, if one of the zeroes of the polynomial is 2, we can use the fact that if 2 is a zero of the polynomial, then (x - 2) is a factor of the polynomial.

So, let's divide the polynomial x^2 + 3x + p by (x - 2) using polynomial long division:

___________________

(x - 2) | x^2 + 3x + p

- (x^2 - 2x)

_______________

5x + p

- (5x - 10)

_______________

p + 10

The remainder of the division is p + 10.

Now, since 2 is a zero of the polynomial, the remainder of the division should be zero. Therefore, we can equate the remainder to zero:

p + 10 = 0

Solving for "p", we subtract 10 from both sides:

p = -10

So, the value of "p" is -10.

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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

3/20

Step-by-step explanation:

Reason:

There are 6 angles shown. If they are all the same measure, then they must be 360/6 = 60 degrees each. This is because the angles all glue together to form a full 360 degree rotation. There are no gaps or overlaps.

The given expression is simplified to obtain as (-2.5x - 2).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is (-5x - 4) ÷ (-3 + 5)

It can be simplified as follows,

(-5x - 4) ÷ (-3 + 5)

= (-5x - 4) ÷ 2

Divide each term of -5x - 4 by 2 as below,

(-5x/2 - 4/2)

= (-2.5x - 2)

Hence, the simplification of the given expression is obtained as (-2.5x - 2).

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Answer:

5040

Step-by-step explanation:

an illustration of permutations

The given parameter is:

number of days

dinners for 7 days

Substitute known values

Overall, the testing facility concluded that the brush tee would be a better option for golfers looking to improve their drives.

An independent golf equipment testing facility compared the difference in the performance of golf balls hit off a brush tee to those hit off a 4 yards more tee. A'Air Force One DFX driver was used to hit the balls, with an average swing speed of 100 miles per hour. The testing facility wanted to determine which tee would perform better and whether it would be beneficial to golfers to switch to a different tee.

The two different types of tees were the brush tee and the 4 Yards More tee. The brush tee is designed with bristles that allow the ball to be suspended in the air, minimizing contact between the tee and the ball. This design is meant to reduce spin and allow for longer and straighter drives. On the other hand, the 4 Yards More tee is designed to be more durable than traditional wooden tees, and its design is meant to create less friction between the tee and the ball, allowing for longer drives.

The testing results showed that the brush tee was able to create longer and straighter drives than the 4 Yards More tee. This is likely due to the brush tee's design, which allows for less contact with the ball, minimizing spin and creating longer and straighter drives.

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Answer:

The coal freight train is traveling at a faster speed.

Step-by-step explanation:

The complete question is attached.

Both trains delivery can be represented using coordinates, where y represent the distance traveled and x represent the hours.

For the coal freight train, we can take two points. Let us use (1, 49) and (3, 147). Hence:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-49=\frac{147-49}{3-1} (x-1)\\\\y-49=49(x-1)\\\\y=49x\)

For the grain freight train, we can take two points. Let us use (0, 0) and (3, 135). Hence:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{135-0}{3-0} (x-0)\\\\y=45x\)

Since the coal freight train has a slope (49) higher than the grain freight train (45), hence the coal freight train travels faster

Answer:

Let x and y be the numbers, with x the larger one.

x - y = 5

2y = x + 18

Then solve this system of equations:

x - y = 5

x - 2y = -18

Subtract bottom equation from top equation and get

y = 23

So x = y + 5 = 23 + 5 = 28

The range is 4.5 and it means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.

The difference between the highest and lowest values for a given data collection is the range in statistics.

In statistics, we must put the given values, set of data, or set of observations in ascending order in order to determine the range. It indicates that you should start by writing the observations from lowest to highest value. The formula must now be used to determine the range of observations.

The range is the difference between the largest and smallest values in a data set.

For the given data, the largest value is 8 and the smallest value is 3.5.

Thus,

range = 8 - 3.5 = 4.5.

Hence, the range is 4.5 and it means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.

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Answer:

Step-by-step explanation:The range is 4.5 and it means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

7

Step-by-step explanation:

5+10-13+5

15-13+5

2+5

Answer:

7

Step-by-step explanation:

Order of Operations: BPEMDAS

B - Brackets

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Step 1: Write expression

5 + 10 - 13 + 5

Step 2: Evaluate

Add: 15 - 13 + 5

Subtract: 2 + 5

Add: 7

1 - x - x² - x³ - x⁴ - x⁵ - x⁶ can be shown generating number of ways considering number of die rolls as infinite series and showing that expression is equivalent to the generating function.

To show that (1 - x - x² - x³ - x⁴ - x⁵ - x⁶)-¹ is the generating function for the number of ways a sum of r can occur if a die is rolled any number of times, we'll follow these steps:

1. Identify the generating function for a single die roll.
2. Consider the infinite series representing any number of die rolls.
3. Show that the given expression is equivalent to the generating function.

Step 1: For a single die roll, the possible outcomes are 1, 2, 3, 4, 5, and 6. The generating function representing this is:
F(x) = x + x²+ x³ + x⁴+ x⁵+ x⁶

Step 2: To consider any number of die rolls, we want to find the generating function that represents the sum of outcomes for an infinite number of rolls. This is the sum of the geometric series with a common ratio F(x), so the infinite series is:

G(x) = 1 + F(x) + F(x)² + F(x)³ + ...

Step 3: To show that the given expression is equivalent to the generating function, we want to show that G(x) = (1 - x - x² - x³- x⁴- x⁵ - x⁶)-¹.

We know that the sum of an infinite geometric series is:

Sum = 1 / (1 - r)

Here, r = F(x), so the sum of the series G(x) is:

G(x) = 1 / (1 - F(x))

Now, substitute F(x) from Step 1:

G(x) = 1 / (1 - (x + x²+ x³+ x⁴+ x⁵ + x⁶))

G(x) = 1 / (1 - x - x² - x³- x⁴- x⁵- x⁶)

Thus, we have shown that (1 - x - x²- x³ - x⁴ - x⁵ - x⁶)-¹ is the generating function for the number of ways a sum of r can occur if a die is rolled any number of times.

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The net profit margin for this shirt is 55%.

What is net profit?

Net profit is the amount of money your business earns after deducting all operating, interest and tax expenses over a period of time. To arrive at this value, you need to know the company's gross profit. If the value of net profit is negative, it is called net loss.

Net profit is another important parameter that determines the financial health of your business. It shows whether the company can earn more than it spends. Net profit helps you decide when and how to expand your business and when to cut costs.

It is important for a business owner to know the difference between profit and profitability. Profit is an absolute number equal to revenues minus expenses. Profitability, on the other hand, is a relative number (percentage) that equals the ratio of profit to revenue.

Profitability is a measure of efficiency and is useful in determining the success or failure of a business.

Given,

Revenue = $12

Cost of goods sold = $3

Operating expenses = 20% of revenue = 20/100 x $12 = $2.4

We know,

Net Profit = Revenue - Cost of goods sold - Operating expenses

\(Net \: Profit = 12 - 3 - 2.4\)

Hence, Net Profit = $6.6

Again,

Net Profit Margin = (Net Profit / Revenue) x 100%

Net Profit Margin \(= ( \frac{6.6}{ 12}) \times 100\%\)

SO, Net Profit Margin = 55%

Therefore, the net profit margin for this shirt is 55%.

So, it is clear that choice A is correct.

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Answer:

15

Step-by-step explanation:

Change x to the declared value: \(5|6-9|\)

Subtract: \(5|6-9| = 5|-3|\)

NOTE: remember that little minus big = negative of big minus little.

i.e.: 6-9 = -(9-6) = -(3) = -3

Evaluate the Absolute Value: \(5|-3| = 5(3)\)

NOTE: remember that the absolute value of a number = the number's distance from 0 (always a positive number).

i.e.: |-2| = 2; |5| = 5

Multiply: \(5(3) = 15\)

The probability that the equipment will operate for at least 200 hours without failure is \((1-e^{-2} )^2[2e^-2+1]\).

Given:

mean = 1/100

Let X = the number of components that fail before 200 hours . The X has a binomial distribution n = 3 and p = 1 – e^-2.

probability p = 3/2\(p^{2} (1-p)\) + 3/3 \(p^{3}\).

= 3(\(1-e^-2)^2\)\(e^-2\) + (\(1-e^-2)^3\)

= \((1-e^-^2)^2[3e^-^2 - e^-^2+1]\)

= \((1-e^{-2} )^2[2e^-2+1]\)

Therefore the probability that the equipment will operate for at least 200 hours without failure is \((1-e^{-2} )^2[2e^-2+1]\).

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The mean time for bicycle repairs on the first day of the race was 4.25 hours, while on the second day it decreased to 3.5 hours.

Additionally, the mean absolute deviation increased from 0.5 hour on the first day to 0.75 hour on the second day.

The change in the mean time for bicycle repairs from the first to the second day of the race indicates a decrease in the average repair time. This suggests that the riders were able to make repairs more efficiently or encountered fewer mechanical issues on the second day compared to the first day.

The decrease in mean repair time could be attributed to various factors, such as better maintenance of bicycles, improved repair skills of the riders, or reduced incidence of mechanical failures.

The increase in the mean absolute deviation from 0.5 hour on the first day to 0.75 hour on the second day implies greater variability in the repair times. This means that on the second day, the repair times were more spread out from the mean compared to the first day. The increased mean absolute deviation could be due to a wider range of repair times experienced by different riders or more unpredictable repair situations encountered on the second day.

In summary, the change in the mean time for bicycle repairs indicates a decrease from the first to the second day of the race, suggesting improved efficiency or reduced mechanical issues. However, the increase in the mean absolute deviation implies greater variability in repair times on the second day, indicating a wider range of repair experiences or more unpredictable repair situations.

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Answer:

Yes

Step-by-step explanation:

Yes, because the value of x is not constant

Step-by-step explanation:

0.376

(In expanded form)

= 0 × 1 + 3 × 1/10 + 7 × 1/100 + 6 × 1/1000

Answer:

0 × 1 + 300 × 1/10 + 70 × 1/100 + 6 × 1/1000

Answer:

The 4 one good luck in your homework bro I hope that your teacher will be surprised with you home work

Step-by-step explanation:

You will be the best in the class

Answer:

Step-by-step explanation:

(-2, 2)   (2, -3)

(-3 - 2)/(2 + 2)

-5/4 the slope

y - 2 = -5/4(x + 2)

y - 2 = -5/4x - 5/2

y- 4/2 = -5/4x - 5/2

y = -5/4x - 1/2

The ball traveled approximately \(26.27\) units in total.

To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.

Distance = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)

Let's calculate the distance between Player A and Player B first:

Distance_AB =

\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)

\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)

Now, let's calculate the distance between Player B and Player C:

Distance_BC =

\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)

Finally, we can calculate the total distance traveled by adding the distances AB and BC:

Total distance = Distance_AB + Distance_BC

\(= 14.87 + 11.40 \\= 26.27\)

Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.

Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.

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Answer:

The answer is C

Step-by-step explanation:

Answer:C

Step-by-step explanation:

got it right on edge2022

Answer:

22 is x

Step-by-step explanation:

diagonal of rhombus make 90° on intersection

5x-20 = 90

5x = 110

x = 22