A homeowner decided to use an electrically heated 4 m long rectangular duct to maintain his room at a comfortable condition during winter. Electrical heaters, well insulated on the outer surface, wrapped around the 0.1m x 0.19m duct, maintains a constant surface temperature of 360K. Air at 275K enters the heated duct section at a flow rate of 0.15 kg/s. Determine the temperature of the air leaving the heated duct. Assuming all the electrical energy is used to heat the air, calculate the power required. (Use Tm = 300K) [14] - Nu, = 0.023 Res Prº.4 T Т. mo PL = expl h T Tmi mC for Ts = constant where P = perimeter of the duct and L L = length р - (b) Discuss the boundary layer profile that would result for a vertical hot plate, and a vertical cold plate, suspended in a quiescent fluid. [6] 4. (a) Outline the steps that a design engineer would follow to determine the (i) Rating for a heat exchanger. (ii) The sizing of a heat exchanger. [2] [2] (b) A shell-and-tube heat exchanger with one shell pass and 30 tube passes uses hot water on the tube side to heat oil on the shell side. The single copper tube has inner and outer diameters of 20 and 24 mm and a length per pass of 3 m. The water enters at 97°C and 0.3 kg/s and leaves at 37°C. Inlet and outlet temperatures of the oil are 10°C and 47°C. What is the average convection coefficient for the tube outer surface?

Answer:

B

Step-by-step explanation:

f(x) = 4x - 7

What does f(x) mean? It means that whatever variable you have on the left which is (x), the same variable must be on the right.

So f(2) means that whatever variable is on the right, it must be replaced with 2 on the right. So .....

f(2) = 4(2) - 7

f(2) = 8 - 7

f(2) = 1

Answer:

I think you are correct but I'm not sure

Step-by-step explanation:

Carrie will arrive at home at 4:02 PM on the same day she leaves.

To determine the time Carrie will arrive, we need to add the number of minutes it takes her to get home to her departure time.

Carrie leaves for home at 1:32 PM. To convert this time to minutes, we multiply the hours (1) by 60 and add the minutes (32). This gives us a total of 92 minutes.

Next, we add the 58,858 minutes it takes Carrie to get home to the departure time of 92 minutes:

92 minutes + 58,858 minutes = 58,950 minutes.

Now, we need to convert the total minutes back to hours and minutes. Since there are 60 minutes in an hour, we divide 58,950 by 60:

58,950 minutes ÷ 60 = 982.5 hours.

The decimal part represents the remaining minutes. To convert this decimal to minutes, we multiply it by 60:

0.5 (decimal part) × 60 = 30 minutes.

Therefore, Carrie will arrive at 982 hours and 30 minutes after her departure time.

To convert this back to a 12-hour clock format, we divide 982 by 12, which gives us a quotient of 81 with a remainder of 2. This means Carrie will arrive 81 days after her departure time, with an additional 2 hours and 30 minutes.

As for the exact time she will arrive on the day she leaves, we need to add the 2 hours and 30 minutes to her departure time:

1:32 PM + 2 hours and 30 minutes = 3:62 PM.

However, since we are using a 12-hour clock format, we need to adjust the time to the correct format:

3:62 PM can be rewritten as 4:02 PM.

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Let be "x" the number that represents 100%.

According to the information given in the exercise, 96 is 60% of the number "x".

Then, you can set up the following proportion:

Now you need to solve for "x" in order to find its value:

Hence, the answer is:

x²+4x+4 is factorable

Answer:

50% chance

Step-by-step explanation:

Answer:

12.56 =13

Step-by-step explanation:

Area of Circle is =

\(\pi \: r ^{2} \)

R=2 in

Putting value of r in formula.

Area of Circle =12.56=13

Please mark branliest if you satisfied with the answer. Thanking you in anticipation.

Answer:

the median home size.

Step-by-step explanation:

In this scenario, the confounding variable would be the median home size. This is because this factor is both a cause and effect of the median home prices. A bigger house would obviously be worth more than a smaller house so the house size affects the prices of the homes in the market. At the same time, the median home sizes can also cause an increase or decrease in crime rates as criminals are more likely to target homes that seem as though they have more valuables inside.

Answer:

Crime rate

Step-by-step explanation:

To simplify the numbers used in the system, we can multiply all the prices and total cost by 100 to work with whole numbers. This doesn't change the answers from part (b) because the ratios between the quantities remain the same after scaling the numbers.

To solve the problem, let's define:

x = number of shirts

y = number of pairs of pants

According to the given information:

Each shirt costs $11.99.

Each pair of pants costs $24.99.

We can set up a system of equations based on the given information:

x + y = 14 (equation for the number of items)

11.99x + 24.99y = 245.86 (equation for the total cost)

To simplify the numbers used in this system, we can multiply both sides of equation 2 by 100 to eliminate the decimal places:

1199x + 2499y = 24586

Now let's solve the system of equations:

Using the method of substitution or elimination, we can solve the system of equations:

From equation 1, we have x = 14 - y.

Substituting this value into equation 2:

1199(14 - y) + 2499y = 24586

16786 - 1199y + 2499y = 24586

1300y = 7800

Dividing both sides by 1300:

y = 6

Substituting the value of y = 6 back into equation 1:

x + 6 = 14

x = 8

Therefore, the group bought 8 shirts and 6 pairs of pants.

Regarding part (c), simplifying the numbers used in the system does not change the answers from part (b). The calculations remain the same, but working with whole numbers instead of decimals might make the computations easier.

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Answer:

Answer is 2

Step-by-step explanation:

Answer:

1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.

Answer:

Slope = -1/4

Step-by-step explanation:

(x1,y1) = (2,12)

(x2,y2) = (6,11)

Slope = y2-y1/(x2-x1)

11-12/6-2= -1/4

The square root that could be the number shown on the number line is √17

On the number line, the position of the point is

Point = 4.1

Square both sides of the above equation

So, we have"

Point^2 = 4.1^2

This gives

Point^2 = 16.81

Approximate

Point^2 = 17

Hence, the square root that could be the number shown on the number line is √17

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Answer:

Resultados están más abajo.

Step-by-step explanation:

Dada la siguiente información:

Costo total= $1,956

Para calculate el valor parcial, debemos usar la siguiente información:

Precio proporcional= costo total* ( 1 - porcentaje de descuento)

50%:

Precio proporcional= 1,956*(1 - 0.5)

Precio proporcional= $978

25%:

Precio proporcional= 1,956*(1 - 0.75)

Precio proporcional= $489

The total amount by which Todd's biceps will increase in 8 weeks is approximately 29.152 millimeters.

a. To find the rule for the nth term in the sequence representing the amount of muscle increase each week, we can use the given information. The first week's increase is 4 millimeters, and each subsequent week's increase is 90% of the previous week's increase. Therefore, we can establish the rule as follows:

\(a_n = 4 * 0.9^{(n-1)}\)

Where aₙ represents the muscle increase in the nth week.

b. The summation notation using Σ (sigma) for the first 8 terms would be:

= Σ(aₙ) from n = 1 to 8

c. To expand the series and evaluate the amount by which Todd's biceps will increase in 8 weeks, we substitute the values of aₙ from n = 1 to 8 into the summation notation:

= Σ(aₙ) from n = 1 to 8

= a₁ + a₂ + a₃ + a₄ + a₅ + a₆ + a₇ + a₈

Expanding the series using the rule from part a, we have:

\(= 4 * 0.9^{(1-1)} + 4 * 0.9^{(2-1)} + 4 * 0.9^{(3-1)} + 4 * 0.9^{(4-1)} + 4 * 0.9^{(5-1)} + 4 * 0.9^{(6-1)} + 4 * 0.9^{(7-1)} + 4 * 0.9^{(8-1)}\)

\(= 4 + 4 * 0.9 + 4 * 0.9^2 + 4 * 0.9^3 + 4 * 0.9^4 + 4 * 0.9^5 + 4 * 0.9^6 + 4 * 0.9^7\)

Evaluating this expression will give us the total amount by which Todd's biceps will increase in 8 weeks.

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Answer:

the problem of solution of communication in Nepal are

Step-by-step explanation:

Answer:

28 units

Step-by-step explanation:

P= 4a

The perimeter of a square is divisible by 4 if side length is a whole number

From the given list only 28 is divisible by 4 so just guessing this is the one

To find the limit of the given expression, we can use the rationalization technique.

lim t ? ? (sqrt(t) + t^2)/ (8t - t^2)

Multiplying the numerator and denominator by the conjugate of the numerator, we get:

lim t ? ? [(sqrt(t) + t^2) * (sqrt(t) - t^2)] / [(8t - t^2) * (sqrt(t) - t^2)]

Simplifying the numerator and denominator, we get:

lim t ? ? (t - t^3/2) / (8t^3/2 - t^2)

Now, we can factor out t^3/2 from both the numerator and denominator:

lim t ? ? (t^3/2 * (1 - t)) / (t^2 * (8t^1/2 - 1))

Canceling out the common factor of t^2 from both the numerator and denominator, we get:

lim t ? ? (t^1/2 * (1 - t)) / (8t^1/2 - 1)

Now, we can plug in t = 0 to see if the limit exists:

lim t ? 0 (t^1/2 * (1 - t)) / (8t^1/2 - 1)

Plugging in t = 0 gives us an indeterminate form of 0/(-1), which means the limit does not exist. Therefore, the answer is DNE (does not exist).

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Answer:

(1, 4)

Step-by-step explanation:

im assuming that the point is h(1) = 4

this point is basically just h(x) = y

1 is your x

4 is your y

you plot it at the point (1, 4)

Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.

So, ∠P = ∠E and ∠Q = ∠F.

Hence, we can write: DP/DE = DQ/DF= PQ/EF.

The above expression is written as

DP/DE = DQ/DF=BC/EF.

It means that PQ = BC.

Hence, the triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ.

Thus, by using the AAA criterion for similarity of the triangle, we can say that

∠A = ∠D, ∠B = ∠E and ∠C = ∠F.

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The probability that a bag of chip is lower than 9.07 oz of weight is 0.1587.

A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

The normal distribution defines how a variable's values are distributed, just like any probability distribution does. Because it properly depicts the distribution of values for many natural occurrences, it is the most significant probability distribution in statistics.

the mean of the data = 9.12 oz

The SD = 0.05 oz

The probability of the bag to be less than 9.07 oz

x = 9.07

z = x - mean / SD = 9.07 - 9.12/0.05 = - 1

for z = -ve

Ф(z) = 1 - Ф(-z) = 1 - Ф(1) = 1 - 0.8413 = 0.1587

The probability that a bag of chip is lower than 9.07 oz of weight is 0.1587.

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Answer:

1.1 × 10^ 4

Step-by-step explanation:

Answer:

2.7*10^4 - 3.7*10^3

=10^3[2.7*10-3.7]

=10^3 [27-3.7]

=10^3 *23.3

=2.33*10^4

Hope this helps!!

The volume of the ice cream cone is approximately 25.12 cubic inches, when we use 3.14 for pi and round our answer to two decimal places.

A cone is a three-dimensional geometric shape that has a circular base and a pointed apex. It is similar to a pyramid, except that a cone has a circular base instead of a polygonal base.

The following formula determines a cone's volume:

V = (1/3) * π * r² * h

where V is the volume of the cone, r is the radius of the circular base of the cone, h is the height of the cone, and π is a mathematical constant approximately equal to 3.14.

In this problem, we are given that the ice cream cone has a radius of 2 inches and a height of 6 inches.

V = (1/3) * 3.14 * 2² * 6

Simplifying the expression inside the parentheses:

V = (1/3) * 3.14 * 4 * 6

V = (1/3) * 3.14 * 24

V = 25.12 cubic inches

Therefore, the volume of the ice cream cone is approximately 25.12 cubic inches, when we use 3.14 for pi and round our answer to two decimal places.

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The perimeter and area of the original are 20 ft and 23.5 square ft and the enlarged figure are50 ft and 146.875 square ft.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of a triangle and a square.

The area of the original (A₀) figure will be

\(\rm A_o = \dfrac{1}{2} \times 3 \times 5 + 4 \times 4\\\\A_o = 23.5 \ ft^2\)

The perimeter of the original figure (P₀) will be

\(\rm P_o = 3 + 5 + 4 + 4 + 4\\\\P_o = 20 \ ft\)

The scale factor is 2.5.

Then the dimension of the triangle will be

h = 2.5 × 3 = 7.5 ft

b = 2.5 × 5 = 12.5 ft

Then the dimension of the square will be

a = 2.5 × 4

a = 10 ft

The area of the new figure will be

\(\rm A = \dfrac{1}{2} \times 7.5\times 12.5 + 10*10\\\\ A = 146.875 \ ft^2\)

The perimeter of the new figure will be

\(\rm P= 7.5 + 12.5 + 10+ 10+ 10\\\\P = 50 \ ft\)

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Answer:

To find the perimeter of an enlarged figure, you can multiply the original figure’s perimeter by the scale factor. You could also multiply each dimension of the original figure by the scale factor to find the dimensions of the enlarged figure, and then add to find the perimeter.

The volume of the right circular cone with a height of 4.5 ft and a base diameter of 19 ft is approximately 424.1 ft³.

To find the volume of a right circular cone, we can use the formula V = (1/3)πr²h,

where V represents the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cone.

Given that the diameter of the base is 19 ft, we can find the radius by dividing the diameter by 2.

Thus, the radius (r) is 19 ft / 2 = 9.5 ft.

Plugging in the values into the formula, we have V = (1/3) \(\times\) 3.14159 \(\times\) (9.5 ft)² \(\times\) 4.5 ft.

Simplifying further, we get V = (1/3) \(\times\) 3.14159 \(\times\) 90.25 ft² \(\times\) 4.5 ft.

Performing the calculations, we have V ≈ 1/3 \(\times\) 3.14159 \(\times\) 405.225 ft³.

Simplifying, V ≈ 424.11367 ft³.

Rounding the result to the nearest tenth of a cubic foot, we find that the volume of the right circular cone is approximately 424.1 ft³.

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The correct option is A) No, because the center of a distribution and the spread are not related

The standard deviation is a measure of the spread or dispersion of a set of data. It is not directly related to the mean or average of the data.

The standard deviation is calculated based on the deviations of each data point from the mean, taking into account how many data points there are.

The mean does not affect the calculation of the standard deviation, as the formula for standard deviation is based solely on the data itself and not on any summary statistics like the mean.

The value of the standard deviation can remain the same even if the mean changes, and conversely, the mean can change without affecting the standard deviation.

Thus, option A) No, because the center of a distribution and the spread are not related is correct.

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Answer:

Answer:

6 burgers and 12 chips

Step-by-step explanation:

Answer:

I think its 38 fries and 10 burgers

Step-by-step explanation:

The opposite of being short $4.28 would be having $4.28 or more. That is a surplus or extra of $4.28.

Surplus refers to an amount or quantity that is left over or in excess of what is needed or used. It can refer to various things, such as:

In finance, a surplus refers to an excess of revenue over expenses, or an excess of assets over liabilities. It means having more of something than is necessary or expected.

Therefore, the opposite of being short $4.28 would be having $4.28 or more. This is often referred to as having a surplus or extra of $4.28.

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