A design engineer is contemplating using internal flow or external flow to cool a pipe maintained at 122 °C. The options are to use air at 32 °C in cross flow over the tube at a velocity of 30 m/s. The other option is to use air at 32 °C through the tube with a mean velocity of 30 m/s. The tube is thin-walled with a nominal diameter of 50 mm and flow conditions inside the tube is assumed fully developed. Calculate the heat flux from the tube to the air for the two cases. What would be your advice to the engineer? Explain your reason. For external flow over the pipe in cross-flow conditions: 0.62 Reb2pr2/3 1/2 Nup = 0.3+- Red 282,000 5/874/5 1+ [1+(0.4/Pr)213]1/4 PAL For fully developed internal flow conditions: 4/5 Nup = 0.023 Re4/5 P.0.4

5, instances of the number 5 will be stored in this 2D array. Option B.

To count the instances of the number 5 in the 2D array, we need to iterate through all the elements of the array and count the occurrences of 5.

Starting from the top-left element, we see that it is not a 5. Moving to the right, we find a 5 in the second column. Continuing to the right, we find another 5 in the same row. So far, we have counted 2 instances of 5.

Moving to the next row, we find no 5s in the first column. In the second column, we find two 5s in the same row. This brings our total count to 4. Moving to the last row, we find a single 5 in the second column, bringing our final count to 5.

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Answer:\(c=60+0.05d\)

Step-by-step explanation:

Given

Company charges \(\$60\)  for  \(1\ GB\) data

and charges \(\$0.05/MB\)

If c is the total cost and d represent no of additional megabyte then

Cost is given by the sum of fixed price + additional data charge

\(c=60+0.05\times d\)

Therefore final charge is given by

\(c=60+0.05d\)

Ha: The mean wait time is not 39 minutes.

(b) Select a suitable test statistic (e.g., t or z).

(c) Choose the level of significance (α).

(d) Establish a decision rule based on the test statistic and level of significance to accept or reject the null hypothesis.

(a) Null Hypothesis (H0): The mean wait time at the Space Mountain ride is equal to 39 minutes.

Alternative Hypothesis (Ha): The mean wait time at the Space Mountain ride is not equal to 39 minutes.

(b) Test Statistic: A suitable test statistic needs to be selected based on the given information and assumptions. Commonly used test statistics for comparing means include the t-statistic or z-statistic, depending on the sample size and whether the population standard deviation is known or estimated.

(c) Level of Significance: The desired level of significance, denoted as α, needs to be chosen. This determines the probability of rejecting the null hypothesis when it is actually true. Commonly used levels of significance are 0.05 and 0.01.

(d) Decision Rule: Based on the chosen level of significance, a decision rule is established. It defines the critical region(s) or critical value(s) that determine when to reject the null hypothesis. The decision rule depends on the selected test statistic and the desired level of significance.

To complete the formal hypothesis test, data would need to be collected from the Space Mountain ride to compute the test statistic and compare it against the critical value(s) or critical region(s) defined by the decision rule. The conclusion of the hypothesis test would then be made based on whether the null hypothesis is rejected or not.

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To find the consumer's and producer's surplus, we need more information about the demand and supply functions or the market equilibrium.

You provided the demand function D(x) = 25, but we require additional details to proceed with the calculations. The consumer's surplus is the difference between the maximum price consumers are willing to pay and the price they actually pay. It represents the benefit or surplus gained by consumers in a market transaction.

The producer's surplus is the difference between the minimum price producers are willing to accept and the price they actually receive. It represents the benefit or surplus gained by producers in a market transaction.

To calculate these surpluses, we typically need information about the supply function, equilibrium price, and equilibrium quantity. These values help determine the areas of the consumer's and producer's surpluses on the supply-demand graph.

Please provide the necessary information about the supply function, equilibrium price, or any other relevant details so that I can assist you in calculating the consumer's and producer's surplus accurately.

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Answer:

Step-by-step explanation:

18y + 36 - 60y + 80

116 - 42y

Answer:

-42y+116

Step-by-step explanation:

Expand:

-6(-3y-6)-10(6y-8)

Simplify:

18y+36-60y+80

Answer:

The measures of interior angles of a triangle sum to 180°.

63+60=123

180-123=57

Angle AB is 57°

Answer:

70

Step-by-step explanation:

Opposite Angles are supplementary in cyclic quadratlerials.

Answer:

According to the graph presented within the proposed interrogate, the answer to such is identified as ‘C’: 2, 3, 5, 5, 6, 7, 8, 10, 11.

Step-by-step explanation:

To evaluate for such a problem, a comprehension of the “Whisker” plots is obligated.

- The box geometric figure with the vertical line contained within represents the average of the numbers presented.

* In this peculiar case, 6 is acknowledged as the individual value responsible for the mean.

Thus far, browsing at such answer choices, we are obligated to appoint an answer where 6 is the standard deviation or the mean (where 6, and only 6, is found in the middle of the set of numbers provided).

The only answer choice in which certifies to all conditions thus far declared is disseminated as “C”.

*I hope this helps.

Step-by-step explanation:

7g+4p-3g-9p

7g-3g+4p-9p

g(7-3)+p(4-9)

Answer: the quotient is 957.07 x 10^4 which is equivalent to 957,070

Step-by-step explanation:

Answer:

remember that the circumference of a circle is 2πR

so the answer is 157.08

Answer:524.37

Step-by-step explanation:

The slope of a velocity graph represents the acceleration of the object.

Why does slope make things go faster?

Gravity is what causes the change in speed on a slope. Objects accelerate (move faster) when traveling downhill, and decelerate (move slower) when moving uphill (slow down).

                       They will then continue moving at the same pace on a level surface, presuming there is little friction.

=  area of graph is 1/2 t₀a₀.

=  area is less than  1/2 t₀a₀.

= area is more than 1/2 t₀a₀.

So in option (d) change in velocity is greatest.

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Answer:

Points ABC and points OBC form two separate triangles. Triangle ABC is made up of angles BAC, ABC, ACB, while triangle OBC is made up of angles BOC, OBC, OCB. Since interior angles of triangles add up to 180 degrees, m<BAC + m<ABC + m<ACB = 180 and m<BOC + m<OBC + m<OCB = 180. 180 is equal to 180, so m<BAC + m<ABC + m<ACB = m<BOC + m<OBC + m<OCB.

Since OB bisects <ABC and OC bisects <ACB, m<ABO = m<OBC and m<ACO = m<OCB. We can also say that m<ABC = 2m<ABO and m<ACB = 2m<ACO. Substitute and simplify the equation.

m<BAC + m<ABC + m<ACB = m<BOC + m<OBC + m<OCB

m<BAC + 2m<ABO + 2m<ACO = m<BOC + m<ABO + m<ACO

m<ABO + m<ACO = m<BOC - m<BAC

Answer:

A.

Step-by-step explanation:

The sum of angles of a triangle is 180. if you add 85+45+60 you get 190. That is more than 180.

The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The percentage of pellets within a 30-inch circle.

Now,

We know that;

According to the state hunter education standards, your shotgun pattern within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''

Thus, The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''

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Answer:

361 units

Step-by-step explanation:

\(\\ \sf\longmapsto f(x+4)=3x+2\)

\(\\ \sf\longmapsto f(y)=3(y-4)+2\)

\(\\ \sf\longmapsto f(y)=3y-12+2\)

\(\\ \sf\longmapsto f(y)=3y-10\)

Hence

\(\\ \sf\longmapsto f(x)=3x-10\)

So

\(\\ \sf\longmapsto f(4)=3(4)-10\)

\(\\ \sf\longmapsto f(4)=12-10\)

\(\\ \sf\longmapsto f(4)=2\)

Answer: 2

hi,

Step-by-step explanation:

\(f(x+4)=3x+2\\\\Let\ say\ y=x+4\ or\ x=y-4\\\\f(y)=3*(y-4)+2=3y-12+2=3y-10\\\\so\ f(x)=3x-10\\\\and\ f(4)=3*4-10=12-10=2\\\)

The maximum cost Dorothy should pay for the car to stay within her monthly budget amount is $23,518.84. See the explantion below.

A budget is a financial plan that takes into account both income and costs. In other words, it's a projection of how much money you'll make and expend over a specific time period, such as a month or a year.

The calculation that justified the above amount is solved as follows:

Given that:

Rate = 4%

Time = 4 years

The monthly payment is $490, to determine the amount (maximum) in 4 years, we use the Compound Interest formula:

                                          A = P (1+ (r/n)ⁿᵇ

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

b = number of time periods elapsed

A = P (1 + (0.04/1)^(1x4)

A = P (1.04)⁴ in four years

Hence, given that the monthly payment over the four-year period is $490, we say:


P [(1.04)⁴] /12 x4 = 490

⇒ P (1.04)⁴ = 490 x 48
P = (490 x 48)/1.1699
P = 20104.2824173

P \(\approx\) 20,104

The maximum amount payable hence

= 20,104 (1.04)⁴

A = 23518.837

A \(\approx\) 23,518.84

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Answer:

y = -2x + 3

Step-by-step explanation:

Using the formula we know that the required lateral surface area of the given triangular prism is (A) 80cm².

A three-sided polyhedron consisting of a triangle base, a translated copy, and three faces connecting equivalent sides is known as a triangular prism in geometry.

If the sides of a right triangular prism are not rectangular, the prism is oblique.

Another three-dimensional (3D) shape is the pyramid.

It has flat (triangular) sides that intersect at a common point and a polygonal base (called the apex).

When the word "pyramid" is used, we frequently picture the well-known pyramids in Egypt.

So, the formula for the lateral surface of a triangular prism:

AL=(a+b+c)h

Now, insert values as follows:
AL=(a+b+c)h

AL=(4+7+5)5

A = 80cm²

Therefore, using the formula we know that the required lateral surface area of the given triangular prism is (A) 80cm².

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Complete question:

What is the lateral surface area of the triangular prism below?

Responses

a. 80 cm2

b. 112 cm2

c. 24 cm2

d. 108 cm2

Area of Ohio ≈ 45,000 square miles

The population density of Ohio is 261.33 people / square miles

From the question, we are to determine the population density of Ohio

Using the internet,

Population of Ohio = 11,760,000

Area of Ohio = 44,825 square miles

Area of Ohio ≈ 45,000 square miles

Population density is given by the formula,

Population density = Number of people / Land area

Thus,

Population density of Ohio = 11760000/45000

Population density of Ohio = 261.33 people / square miles

Hence, the population density of Ohio is 261.33 people / square miles

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Answer:

Solve using the supplement of the angles.

Step-by-step explanation:

For the first page, you should use the supplement of the angles. This means, on a straight line, you can subtract the known angle from 180 degrees to find the missing angle. The top angle, for example, will be 180 - 46 resulting in the interior angle being 134 degrees.

You can do this until you find all of the known interior angles, then using the sum of interior angles and the current known interior angles you can find the last known interior angle. If they are asking you to solve for an exterior angle, you can once again subtract the known interior angle from 180 degrees to find the exterior angle.

For the second page, you can refer to exterior angles again. Knowing that all exterior angles add to 360 degrees, and since we are given all of them, we can set the sum of the exterior angles to 360 degrees.

9x + 4x + (5x + 10) + (5x + 25) = 360

Simplify.

23x = 325.

Solve for x.

michael is 4 times as old as brandon and is also 27 years older than brandon. then  the michael is 36 years old.

Let M represents the Michael and B represents the Brandon.

As per the given statement: Michael is 4 times as old as Brandon.

⇒  M= 4 B               .....[1]

Also, it is given that Michael is 27 years older than Brandon.

⇒ M= B+27               .....[2]

Substitute equation [1] into [2] we get;

4B= B + 27

Subtract B from both sides we get;

3B = 27

Divide both sides by 3 we get;

B = 9 years

M=36

Therefore, the michael is 36 years old.

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the area of the surface is 2π (18 arcsin(8 / 9))

To find the definite integral that represents the area of the surface generated by revolving the curve y = √(81 - x²) about the x-axis on the interval -8 ≤ x ≤ 8, we can use the formula for the surface area of revolution:

Surface Area = 2π ∫[a, b] y √(1 + (dy/dx)²) dx

In this case, y = √(81 - x²) and we need to find dy/dx.

dy/dx = (-2x) / (2√(81 - x²)) = -x / √(81 - x²)

Now we can plug these values into the formula and evaluate the definite integral:

Surface Area = 2π ∫[-8, 8] √(81 - x²) √(1 + (-x / √(81 - x²))²) dx

Simplifying the integral:

Surface Area = 2π ∫[-8, 8] √(81 - x²) √(1 + x² / (81 - x²)) dx

Surface Area = 2π ∫[-8, 8] √(81 - x²) √((81 - x² + x²) / (81 - x²)) dx

Surface Area = 2π ∫[-8, 8] √(81 - x²) √(81 / (81 - x²)) dx

Surface Area = 2π ∫[-8, 8] (√(81) / √(81 - x²)) dx

Surface Area = 2π ∫[-8, 8] (9 / √(81 - x²)) dx

Now we can evaluate the definite integral:

Surface Area = 2π [9 arcsin(x / 9)]|[-8, 8]

Using the bounds of integration:

Surface Area = 2π [9 arcsin(8 / 9) - 9 arcsin(-8 / 9)]

Simplifying further:

Surface Area = 2π [9 arcsin(8 / 9) + 9 arcsin(8 / 9)]

Surface Area = 2π (18 arcsin(8 / 9))

Therefore, the area of the surface is 2π (18 arcsin(8 / 9))

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Answer:

Hey there!

Marked down by 20 percent is equal to 80 percent of the original value.

4.5(0.8)=3.6

9 percent sales tax

3.6(1.09)=3.92

Hope this helps :)

Answer:

$3.92

Step-by-step explanation:

I took the test

Answer:

84%

Step-by-step explanation:

you cross multiply 42/50 by 2 and then u get 84/100