what is the area of the opening in a duct that has a diameter of 7 inches? round the answer to the nearer thousandth square inch.

Answers

Answer 1

The opening area for a 7 inch diameter channel is approximately 38.484 square inches.

The area of ​​a circular opening can be found using the circle area formula given by \(A = \pi r^2\). where A is the area and r is the radius of the circle. In this case, the duct diameter is 7 inches. The radius can be calculated by dividing the diameter by 2, so the radius is 7/2 = 3.5 inches.

Substituting the radius into the equation gives A = π(3,5)^2. Evaluating this formula gives A = \(\pi\)(12.25) ≈ 38.484 square inches. Rounding the result to the nearest thousandth, the area of ​​the channel opening is approximately 38.484 square inches.

Therefore, a 7 inch diameter duct has an orifice area of ​​approximately 38.484 square inches. 


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Related Questions

Juwad picked 30 bags of apples on Monday and sold them at his fruit stand for
$3.45 each. The following week he picked and sold 26 bags.
How much money did Juwad earn in the first week?
How much money did he earn in the second week? How much did Juwad earn selling bags of apples these two weeks? Each bag Juwad picked holds 15 apples. How many apples did he pick in two
weeks?

Answers

Answer:

89.70 dollars

Step-by-step explanation:

If Juwad picked 30 bags of apples and only sold 26 of them for 3.45 each, then you would have to multiply the number of bags sold by the price, and you would get your answer. So in this case:

1. (#sold)* (price)= total amount of money made

2. 26*3.45= 89.70

3. And you can check by dividing 89.70(your answer) by the price of the apples

4. 89.70/3.45= 26

What is the greatest common factor (GCF) of the following polynomial?
6x^3y + 12x^2y^2 - 15x^3y^3​

Answers

This is simple,Find Like Terms Add them Then Divide then Add,The GCF is 3

which of these random samples represents a representative sample of the systolic blood pressure of all patients in a hospital?

Answers

A representative sample based on the hospital scenario is option A

What is representative sample?

A subset of a larger population that accurately reflects the traits, diversity, and distribution of the total population is referred to as a representative sample.

Due to time, financial, or logistical limitations, it is frequently not possible or practical to investigate an entire population when conducting research or gathering data. In these situations, researchers choose a representative sample from which to deduce generalizations about the total population.

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which of these random samples represents a representative sample of the systolic blood pressure of all

Please make it correct..I need to pass this...

Please make it correct..I need to pass this...

Answers

Simplify them all down to 5 then solve

Answer: The next fraction in the sequence will be 5/20.

Step-by-step explanation:

9/20 is the first fraction.

2/5 is equal to 8/20, so that is the second fraction.

7/20 is the third fraction.

3/10 is equal to 6/10, so that is the fourth fraction.

By now we can see that there is a pattern, because the first fraction's numerator began with 9, the next 8, then 7, and 6. We also simplfied all he fractions so that they had the denominator 20. Because of this, the next fraction in the sequence will be 5/20.

Lincoln is going to see a movie and is taking his 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $5 each. How much total money would Lincoln have to pay for his family if he were to buy 4 snacks for everybody to share? How much would Lincoln have to pay if he bought x snacks for everybody to share?

Answers

Answer:

The answer is $99

Step-by-step explanation:

Final answer:

The total money Lincoln has to pay for his family to see a movie and share 4 snacks is $59. When Lincoln buys x snacks to share, the total cost would be $39 plus $5x.

Explanation:

The costs that Lincoln has to pay consists of two parts: the cost for the tickets and the cost for snacks. Lincoln himself and his two kids makes for 3 people in total. A ticket for each person costs $13, so the cost for tickets is 3 multiplied by $13, which equals $39.

If Lincoln buys 4 snacks for everybody to share, each at a price of $5, these snacks would cost 4 multiplied by $5, which is $20 in total. So, the total cost would be $39 (for tickets) plus $20 (for snacks), resulting in a total of $59.

For the case when Lincoln buys x snacks for everybody to share, just replace the number 4 with x in our snacks calculation. That would be $5x for the snacks cost. The total cost Lincoln would have to pay is then, still $39 for tickets, plus $5x for snacks.

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The slot size limit for Fish A is from 28 to 32 inches. The minimum size limit for Fish B is 11 inches. Write the ranges of Fish A and Fish B in interval notation and in set-builder notation. Does the range for the Fish B seem reasonable? Explain.

Answers

Notations are used to specify the range of a function. The range of fish A is [28,32] while the range of fish B is [11,infinity).

Also, the range of fish B is not reasonable.

For fish A, we have:

\(Minimum = 28\)

\(Maximum = 32\)

For Fish B, we have:

\(Minimum = 11\)

For fish A, the minimum and the maximum are inclusive. So, the range is:

\(Range= [Minimum, Maximum]\)

This gives:

\(A = [28,32]\)

For fish B, the minimum is known (and inclusive). The maximum is not known, so we represent the maximum with infinity.

So, the range is:

\(Range= [Minimum, Maximum)\)

\(B = [11,\infty)\)

The range of fish B is not reasonable because there is a limit to the size of fish a slot can take.

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Subtract
x + 3
O A.
-x + 13
; X = -3 or 1
1)(x + 3)
o
O
B.
-x + S
(x - 1)(x + 3)
:X #-3 or 1
O
7x + S
(x - 1)(x + 3)
;X #-3 or 1
o
D.
7x + 13
(x - 1)(x + 3)
;X *-3 or 1

Answers

Answer:

-3

Step-by-step explanation:

x

+

3

=

 

O

A

=

x

+

13

=

X

=

3

=

=

3

1

=

=

3

1

=

=

3

Construct a 90% confidence interval for the population mean you. Assume the population has a normal distribution a sample of 15 randomly selected math majors had mean grade point average 2.86 with a standard deviation of 0.78

Answers

The 90% confidence interval is: (2.51, 3.22)

Confidence interval :

It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.

We have the following information :

Number of students randomly selected, n = 15.Sample mean, x(bar) = 2.86Sample standard deviation, s = 0.78Degree of confidence, c = 90% or 0.90

The level of significance is calculated as:

\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)

The degrees of freedom for the case is:

df = n - 1

df = 15 - 1

df = 14

The 90% confidence interval is calculated as:

=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)

= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 0.3547

= (2.51, 3.22)

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8* (7+5) = 8 * 7 + 8 *5 This is an example of _________________ property.

Answers

Answer:

associative property

Step-by-step explanation:

Henrie play baeball. He hit 80% of the time he bat. If he i up to bat 20 time thi weekend at hi baeball tournament, how many time i he expected to hit

Answers

This may be computed by dividing his hitting % by the number of times he bats (20). (0.8). 20 x .8 = 16

Percentage:

a: a part of a whole expressed in hundredths a high percentage of students attended.

b: the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

c: a share of winnings or profits.

If Henrie hits 80% of the time he's at bat, and he is up to bat 20 times this weekend, he is expected to hit 16 times. This can be calculated by multiplying the number of times he is up to bat (20) by his hitting percentage (0.8). 20 x .8 = 16

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Given: x + 2 < -5. Choose the solution set.

Answers

Answer:

x < -7

Step-by-step explanation:

to isolate x we need to subtract 2 from both sides. -5-2 is -7, so the answer is x < -7

Answer:

x< −7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    x+2-(-5)<0

Step by step solution :

STEP 1:

Solve Basic Inequality :

1.1      Subtract  7  from both sides

           x < -7

Inequality Plot :

1.2      Inequality plot for

        x  + 7.000  <  0

Given: x + 2 &lt; -5. Choose the solution set.

Which of the following are rational numbers?
-1 4/53 47.444... 92.555... 99

Answers

Answer:

All are rational except 47.444...

A tv is sold for ra 10350 with 15% profit. Find the cp of tv

Answers

CP=SP*100÷100+P

so,

CP=10350*100÷100+15

CP=9000

Answer:

solution

Step-by-step explanation:

Let.the cp of TV be RS X

now,CP=SP-profit

or, CP=SP-profit% of Cp (as profit amount =profit % of Cp)

or, x=Rs 10350-15÷100× X

or, x= Rs 10350 _ 3X ÷20

or, x+3x ÷20 =Rs 10350

or, 23x ÷20 = Rs 10350

or, x = 10350×20 divided by 23

Therefore X =Rs 9000

What are three key takeaways from the history of credit in America.

Answers

The first credit card was Diners Membership Card in 1950.  In 1951 the Franklin National Bank issued the first credit card on Long Island, New York.

Credit card profitability didn't last very long before the others saw it, and by 1953 the United States has 60 credit card software.It has recorded the capacity to repay debts and has demonstrated its responsibility.

The key purchases from US credit history are as follows:

The history of credit is a record of your debt repayment capabilities and your responsibility.The credit accounts type and number that users credited, the length of the opening of your account, the amount owing, the quantity of credit available, whether you are paying the bill on time, and the number of new credit requests.Benefits will be earned because of strong credit histories, such as cheaper loans and car insurance rates.

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Consider the division of 8y2 – 12y + 4 by 4y. what are the values of a and b? a. a = 2y and b = 3 b. a = y/2 and b = –3y c. a = 2y and b = –3 d. a = 2/y and b = 3y

Answers

Answer: c. a = 2y and b = -3

Step-by-step explanation:

To find the values of a and b in this division problem, we need to perform polynomial division. Starting with the dividend, 8y^2 – 12y + 4, we divide the leading term of the dividend, 8y^2, by the leading term of the divisor, 4y. This gives a quotient of 2y.

Next, we multiply the divisor, 4y, by 2y and subtract it from the dividend, 8y^2 – 12y + 4. This gives a remainder of -3.

So, in this division problem, the values of a and b are a = 2y and b = -3.

solve for x

4/9x + 1/5x =87​

Answers

Answer:

x = 135

Step-by-step explanation:

\(\frac{4}{9}\) x + \(\frac{1}{5}\) x = 87

Multiply through by 45 ( the LCM of 9 and 5 ) to clear the fractions

20x + 9x = 3915

29x = 3915 ( divide both sides by 29 )

x = 135

Answer:

x = 135

Step-by-step explanation:

4/9x+ 1/5x= 29/45x

29/45x = 87

29x = (87)*(45)

x = 3915/29

x = 135

Graph the following features:
Slope = -3
Y-intercept = 5

Answers

Answer:

y=-3x+5

Step-by-step explanation:

Graph the following features:Slope = -3Y-intercept = 5

In space, how many planes can be perpendicular to a given line at a given point on that line in space?
A. 1
B.0
C. 3
D. infinitely many

Answers

In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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a particular fruit's weights are normally distributed, with a mean of 450 grams and a standard deviation of 37 grams. if you pick 3 fruit at random, what is the probability that their mean weight will be between 445 grams and 469 grams

Answers

The probability that the mean weight between 445 grams and 469 grams is 0.7883.

The probability of a randomly selected mean weight of three fruits falling between 445 and 469 grams can be calculated using the Z-score formula. The Z-score formula is used to calculate how many standard deviations a given value is from the mean. The Z-score formula is:

Z = (x - μ) / σ

Where x is the given value, μ is the mean and σ is the standard deviation.

In this case, the given value is the mean of the three fruits, and the mean is 450 grams and the standard deviation is 37 grams. So, our Z-score formula becomes:

Z = (x - 450) / 37

For the lower bound of 445 grams, the Z-score is -0.81. For the upper bound of 469 grams, the Z-score is +0.81.

Using a Z-Table, we can look up the area under the standard normal curve from -0.81 to +0.81.This area is 0.7883, which is the probability that the mean weight of three fruits will be between 445 and 469 grams.

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Given the table below, write a linear equation that defines the
dependent variable, t, in terms of the independent variable, a.

Given the table below, write a linear equation that defines thedependent variable, t, in terms of the

Answers

The linear equation that defines the dependent variable, t, in terms of the independent variable, a is t = 4/3a - 1.

Linear equation:

Linear equation is an algebraic equation in which each term has an exponent of 1 and when graphed, the result is always a straight line.

The general form of the linear equation is

y = mx + c

where

y = dependent variable

m = slope

x = independent variable

c = y - intercept

Given,

Here we have the table with the values of t and the value of a.

Now, we need to find the linear equation for this table.

In order to find the linear equation, we need the values of slope and the y intercept values.

To find the value of slope we have to take two point from the given table.

They are (4,5) and (12, 11).

Now, apply the value on the slope formula, then we get,

m = (12 - 4) / (11 - 5)

m = 8/6

When we simplify it, then we get,

m = 4/3

Now, we have to use the slope m and the point (4,5), to find the value of y intercept,

Then we get the value of c as,

5 = 4/3 (4) + c

15 = 16 + c

c = -1

Therefore, the linear equation of the table is, t = 4/3a - 1

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Newsvendor: National Geographic still sells a considerable number of copies. Its demand for the August issue is forecasted to be normally distributed with a mean of 80 and a standard deviation of 25. If a store stocks 100 copies, how many copies can they expect to return to the publisher at the end of the month

Answers

Thus, the store can expect to return about 36 copies to the publisher at the end of the month.

The newsvendor problem is a classic inventory optimization problem that seeks to balance the costs of overstocking and understocking.

In this case, we have the demand for the August issue of National Geographic magazine, which is normally distributed with a mean of 80 and a standard deviation of 25.

The store stocks 100 copies of the magazine and wants to know how many copies it can expect to return to the publisher at the end of the month.

To solve this problem, we need to use the normal distribution formula, which is:

Z = (X - μ) / σ

where Z is the standard score, X is the number of copies sold, μ is the mean, and σ is the standard deviation.

We can use this formula to find the probability of selling all 100 copies, which is:

Z = (100 - 80) / 25 = 0.8

P(Z < 0.8) = 0.7881

This means that there is a 78.81% chance of selling all 100 copies.

To find the expected number of returns, we can subtract the expected number of sales from the initial stock:

Expected returns = 100 - (80 x 0.7881) = 36.36

Therefore, the store can expect to return about 36 copies to the publisher at the end of the month.

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Help on all parts pls step by step preferably

Help on all parts pls step by step preferably

Answers

Applying the inscribed angle theorem, we have:

a. x = 55° b. x = 60°  c. x = 92°    d. x = 84°

How to Apply the Central Angle Theorem and the Inscribed Angle Theorem?

These theorem states that:

Inscribed angle measure = 1/2(central angle) or measure of intercepted arc.

Intercepted arc measure = central angle measure.

Therefore, we have:

a. x = 180 - 35 - 90 [tangent theorem]

x = 55°

b. x = 1/2(120) [inscribed angle theorem]

x = 60°

c. x = 2(46) [inscribed angle theorem]

x = 92°

d. m(FE) = 2(42) = 84°

m(EB) = 180 - FE = 180 - 84

m(EB) = 96°

m(AB) = 180 - m(EB) = 180 - 96

m(AB) = 84°

x = m(AB) = 84° [central angle theorem]

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ellen makes cookies and sells them at the local farmers' market. today, she is going to make batches of her famous cardamom cookies. she has a jar with 2 fluid ounces of cardamom, and her recipe calls for 1 4/5 tablespoons, or 3/10 of a fluid ounce, of cardamom in each batch. how many batches can ellen make with all of her cardamom?

Answers

Ellen can make a maximum of 6 batches of Cardamom cookies with her 2 fluid ounces of cardamom.

Ellen has 2 fluid ounces of cardamom in a jar. Her recipe requires 3/10 of a fluid ounce of cardamom for each batch of cardamom cookies.

We can use division to find the number of batches of cardamom cookies that Ellen can make with all of her cardamom:

2 fluid ounces ÷ (3/10 fluid ounce per batch) = (2/1) ÷ (3/10)

= (2/1) x (10/3)

= 20/3

= 6 2/3

Therefore, Ellen can make 6 batches of cardamom cookies with her 2 fluid ounces of cardamom, with 2/3 of a batch remaining.

Since she cannot make a fraction of a batch, Ellen can make a maximum of 6 batches of cardamom cookies with her 2 fluid ounces of cardamom.

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HURRYYYYY!
You want to raise at least $300 for a charity walk. So far, you have raised $135. You ask donors to give $15. What inequality could you use to find how many more $15 donations you need?

Answers

$135 + $15x is greater than or equal to $300

What number is 16% of 80?

Write and solve an equation to answer the question.

Answers

Answer:

The answer is 12

Step-by-step explanation:

Trust me, kay? Please mark Brainliest!!!!

Answer:

12.8

Step-by-step explanation:

16% of 80

\(\frac{16}{100}\) × 80

\(\frac{16}{10}\) × 8

\(\frac{16}{5}\) × \(\frac{4}{1}\)

16 × 4

5

12\(\frac{4}{5}\) = 12.8

x - (-3) is the same as x + (-3).


True or False

Answers

Answer:

False

Step-by-step explanation:

x - (-3) = x + 3

x + (-3) = x - 3

Answer:

False

Step by step directions:

because you got to look at the symbols that tell yo what you need to do!

3 Serafina is solving a number puzzle that involves three integers, e, f, and g,
where e is negative. The product of e and fis – 15. The product of e and g
is 6. The product of fand g is – 10. What are the values of e, f, and g?
Show your work.

Answers

Answer:

19 maybe?

Step-by-step explanation:

100 POINTS AND BRAINLIEST Please help solve at least 1 of these problems and show your work because I don’t know how to solve these

100 POINTS AND BRAINLIEST Please help solve at least 1 of these problems and show your work because I

Answers

Step-by-step explanation:

Triangle a) is half of an equilateral triangle therefore the height divides the base into two equal parts, same thing for triangle b), triangle c) instead is half square, therefore congruent catheti.

a)

n = 6 : 2

n = 3

m = √(6²+3²)

m = √45

b)

x = 10 x 2 = 20

y = √(20²-10²)

y = √300

c)

a = √(5²+5²)

a = √50

the answers are in simple radical form as requested

Write an algebraic expression for the word expression
The sum of 2 and a number x

Write an algebraic expression for the word expression The sum of 2 and a number x

Answers

Answer:

2+x

Step-by-step explanation:

Sum= addition

If the number is not provided we always include a variable and the most common one is X never use t, o, i, l, because you might confuse yourself because they look like numbers when they are variables.

\(\huge\text{Hey there!}\)

\(\large\text{The word \bf{SUM}}\large\text{ simply means to \bf{ADD}}}\)

\(\large\text{Your x value is \bf{unknown}}}\)

\(\large\text{So, basically youre ADDING 2 from the unknown number (which is x)}\)

\(\bold{Meaning\ your\ equation\ look\ like\ \underline{2+x}}\)

\(\boxed{\boxed{\bold{Answer: 2 + x}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

estimate 0.95 of 700

Answers

Answer: 0.95 of 700 is 6.65.

Step-by-step explanation:

0.95% of 700

700 x 0.95/100

6.65

Please give brainliest !!

Answer:

You forgot to put this:

9

7

6

8

The answer is 7

I took the quiz

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