If a shell and tube process heater is to be selected instead of double pipe heat exchanger to heat the water ( Pwater = 1000 kg / m³ , Cp = 4180 J / kg . ° C ) from 20 ° C to 90 ° C by waste dyeing water on the shell side from 80 ° C to 25 ° C . The heat trader load of the heater is 600 kW . If the inner diameter of the tubes is 1 cm and the velocity of water is not to exceed 3 m / s , determine how many tubes need to be used in the hea exchanger .

Answer:

Alright, lets get started.

Angle 3 and angle 4 are adjacent angles because they are having the common side.

They both are on straight line, so, their addition will be 180°.

Suppose angle 4 is x , hence

angle 4 + angle 3 = 180

Subtracting 89 from both sides

°

Hence angle 4 is 91°. : Answer

Hope it will help :)

Step-by-step explanation:

Answer:

91 degrees

Step-by-step explanation

trust the lord

The measure of angle ∠3 and angle ∠6, which are alternate interior angles formed between the parallel lines m and n are;

m∠3 = 60°, m∠6 = 60°

Alternate interior angles are angles formed in the inside part of two lines that have a common transversal, and on opposite sides of the transversal.

The information are;

Line m is parallel to line n (m ║ n)

m∠3 = 7·x - 10

m∠6 = 5·x + 10

From the possible diagram in a similar question, we get;

∠3 and ∠6 are alternate interior angles formed between parallel lines therefore;

∠3 ≅ ∠6

m∠3 = m∠6 (definition of congruent angles)

7·x - 10 = 5·x + 10 (substitution property of equality)

7·x - 5·x = 10 + 10 = 20

2·x = 20

x = 20 ÷ 2 = 10

x = 10

m∠3 = 7 × 10 - 10 = 60

m∠3 = 60°

m∠3 = m∠6

Therefore;

m∠6 = 60°

Learn more about the angles formed by parallel lines and a common transversal here:

https://brainly.com/question/13209798

#SPJ1

Answer:

It should be 6 because 6x6 is 36

Answer:

Step-by-step explanation:

fractions are division so just divide 36 by 6 and you will get 6 which is your answer

36/6 =

36 : 6 =

6

The finite difference approximation for a Neumann boundary condition, \(\left(\frac{df}{dx}\right)\), at node \(n\) (right boundary) to \(O(h^2)\) is given by

\(\left(\frac{df}{dx}\right)_n \approx \frac{f_{n-2} - 4f_{n-1} + 3f_n}{2h}\),

where \(f_{n-2}\), \(f_{n-1}\), and \(f_n\) represent the function values at nodes \(n-2\), \(n-1\), and \(n\) respectively, and \(h\) represents the spacing between the nodes.

To derive this approximation, we start with the Taylor series expansion of \(f_{n-1}\) and \(f_n\) around \(x_n\):

\(f_{n-1} = f_n - hf'_n + \frac{h^2}{2}f''_n - \frac{h^3}{6}f'''_n + \mathcal{O}(h^4)\),

\(f_{n-2} = f_n - 2hf'_n + 2h^2f''_n - \frac{4h^3}{3}f'''_n + \mathcal{O}(h^4)\).

By subtracting \(4f_{n-1}\) and adding \(3f_n\) from the second equation, we eliminate the first-order derivative term and retain the second-order derivative term. Dividing the result by \(2h\) gives us the desired finite difference approximation to \(O(h^2)\).

In conclusion, the finite difference approximation for a Neumann boundary condition, \(\left(\frac{df}{dx}\right)\), at node \(n\) (right boundary) to \(O(h^2)\) is \(\left(\frac{df}{dx}\right)_n \approx \frac{f_{n-2} - 4f_{n-1} + 3f_n}{2h}\). This approximation is obtained by manipulating the Taylor series expansion of \(f_{n-1}\) and \(f_n\) to eliminate the first-order derivative term and retain the second-order derivative term, resulting in a second-order accurate approximation.

Learn more about function here:

https://brainly.com/question/31062578

#SPJ11

The approximate probability of exactly two people in a group of seven having a birthday on April 15 is (C) \(7.4 x 10^-^6\)

To calculate the probability of exactly two people in a group of seven having a birthday on April 15, we can use the binomial distribution formula:

\(P(X = k) = C(n, k) * p^k * (1 - p)^(^n^-^k^)\)

Where:

So, plugging in the values, we get:

\(P(X = 2) = C(7, 2) * (1/365)^2 * (1 - 1/365)^(7 - 2)\)

\(= 21 * (1/365)^2 * (364/365)^5\)

\(= 2.38 x 10^-5\)

The probability of exactly two people in a group of seven having a birthday on April 15 can be calculated using the binomial distribution formula.

The formula takes into account the number of trials, the probability of success in a single trial, and the number of successes desired.

In this case, we want to find the probability that exactly two people in a group of seven have a birthday on April 15, assuming that all days of the year are equally likely for a birthday.

Plugging in the values into the formula gives us an approximate probability of \(7.4 x 10^-^6\), which is the answer (C).

Learn more about Approximate probability

brainly.com/question/15696262

#SPJ11

Answer:

1409.724683544

Step-by-step explanation:

You could have just used a calculator lol

Answer:

B.45

Step-by-step explanation:

60+55=115

180-115=65

65-20=45

Answer: 45°

Answer: 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD= 8​

Step-by-step explanation: It is simple math-

Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

To know more about the solving equations, refer here:

https://brainly.com/question/14410653#

#SPJ11

The solution to the initial value problem y'' - 5y' + 4y = 0, y(0) = 1, y'(0) = 0 is: y(t) = (1/3)e^(4t) - (1/3)e^t

To solve this initial value problem using Laplace transforms, we first take the Laplace transform of both sides of the differential equation:

L{y''} - 5L{y'} + 4L{y} = 0

Using the properties of Laplace transforms, we can simplify this to:

s^2 Y(s) - s y(0) - y'(0) - 5 (s Y(s) - y(0)) + 4 Y(s) = 0

Substituting the initial conditions, we get:

s^2 Y(s) - s - 5sY(s) + 5 + 4Y(s) = 0

Simplifying and solving for Y(s), we get:

Y(s) = 1 / (s^2 - 5s + 4)

We can factor the denominator as (s-4)(s-1), so we can rewrite Y(s) as:

Y(s) = 1 / ((s-4)(s-1))

Using partial fraction decomposition, we can write this as:

Y(s) = A/(s-4) + B/(s-1)

Multiplying both sides by the denominator, we get:

1 = A(s-1) + B(s-4)

Setting s=1, we get:

1 = A(1-1) + B(1-4)

1 = -3B

B = -1/3

Setting s=4, we get:

1 = A(4-1) + B(4-4)

1 = 3A

A = 1/3

Therefore, we have:

Y(s) = 1/(3(s-4)) - 1/(3(s-1))

Taking the inverse Laplace transform of each term using a Laplace transform table, we get:

y(t) = (1/3)e^(4t) - (1/3)e^t

Therefore, the solution to the initial value problem y'' - 5y' + 4y = 0, y(0) = 1, y'(0) = 0 is:

y(t) = (1/3)e^(4t) - (1/3)e^t

learn more about initial value here

https://brainly.com/question/17613893

#SPJ11

Answer:D

Step-by-step explanation: You can multiply the first equation by 2, and then add two equations together, find x, then plug in and find y and voila! its D

:D

Answer:

D

Step-by-step explanation:

yus

The stocks yielded $973.36 more in profits than the bonds is correct.

Two or more expressions with an Equal sign is called as Equation.

Let's calculate the current value of Benjamin's bonds.

Since the market rate has increased, the value of the bonds has also increased.

Current bond value = 4 x $1,000 x 1.04595 = $4,183.80

Now let us find the bond profit

Bond profit = $4,183.80 - (4 x $1,000 x 0.96230) = $437.12

Now, let's calculate the current value of Benjamin's stock:

Current stock value = 200 x $22.62 = $4,524

Next, let's calculate the profit from the stock by subtracting the initial investment from the current value and adding the total dividends received:

Stock profit = $4,524 - (200 x $19.08) + (200 x $2.04 x 5) = $730.48

Therefore, the total profit from the bonds is $437.12, and the total profit from the stocks is $730.48.

Hence, the stocks yielded $973.36 more in profits than the bonds is correct.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

s orbital mentioned

Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10

Rule for electron in nth shell=2n²

Answer:

103

Step-by-step explanation:

103.3's 3 is closer to 0 than 5

Answer:

8551.56

Step-by-step explanation:

\(A=5300(1+(0.08)/12)^{(12)(6)} \approx 8551.56\)

Step-by-step explanation:

you can find it using this formula

√ (x2 − x1)2 + (y2 − y1)2

√(-1--73)^2 + (9-30)^2

= 3√527

= 68.8694417

The solution to the given equation [xcos^2(y/x)−y]dx+xdy=0, when x=1 and y=π/4, is:

e^0 * (1/2)^2 + h(π/4) = 1/4 + h(π/4) = C1

1 + g(1) = C1

The given equation is [xcos^2(y/x)−y]dx+xdy=0.
To solve this equation, we can use the method of exact differential equations. For an equation to be exact, it must satisfy the condition:
∂M/∂y = ∂N/∂x
where M is the coefficient of dx and N is the coefficient of dy.
In this case, M = xcos^2(y/x) - y and N = x. Let's calculate the partial derivatives:
∂M/∂y = -2xsin(y/x)cos(y/x) - 1
∂N/∂x = 1
Since ∂M/∂y is not equal to ∂N/∂x, the equation is not exact. However, we can make it exact by multiplying the entire equation by an integrating factor.
To find the integrating factor, we divide the difference between the partial derivatives of M and N with respect to x and y respectively:
(∂M/∂y - ∂N/∂x)/N = (-2xsin(y/x)cos(y/x) - 1)/x = -2sin(y/x)cos(y/x) - 1/x
Now, let's integrate this expression with respect to x:
∫(-2sin(y/x)cos(y/x) - 1/x) dx = -2∫sin(y/x)cos(y/x) dx - ∫(1/x) dx
The first integral on the right-hand side requires substitution. Let u = y/x:
∫sin(u)cos(u) dx = ∫(1/2)sin(2u) du = -(1/4)cos(2u) + C1

The second integral is a logarithmic integral:
∫(1/x) dx = ln|x| + C2
Therefore, the integrating factor is given by:
μ(x) = e^∫(-2sin(y/x)cos(y/x) - 1/x) dx = e^(-(1/4)cos(2u) + ln|x|) = e^(-(1/4)cos(2y/x) + ln|x|)
Multiplying the given equation by the integrating factor μ(x), we get:
e^(-(1/4)cos(2y/x) + ln|x|)[xcos^2(y/x)−y]dx + e^(-(1/4)cos(2y/x) + ln|x|)xdy = 0

Now, we need to check if the equation is exact. Let's calculate the partial derivatives of the new equation with respect to x and y:
∂/∂x[e^(-(1/4)cos(2y/x) + ln|x|)[xcos^2(y/x)−y]] = 0
∂/∂y[e^(-(1/4)cos(2y/x) + ln|x|)[xdy]] = 0
Since the partial derivatives are zero, the equation is exact.

To find the solution, we need to integrate the expression ∂/∂x[e^(-(1/4)cos(2y/x) + ln|x|)[xcos^2(y/x)−y]] with respect to x and set it equal to a constant. Similarly, we integrate the expression ∂/∂y[e^(-(1/4)cos(2y/x) + ln|x|)[xdy]] with respect to y and set it equal to the same constant.

Integrating the first expression ∂/∂x[e^(-(1/4)cos(2y/x) + ln|x|)[xcos^2(y/x)−y]] with respect to x:
e^(-(1/4)cos(2y/x) + ln|x|)cos^2(y/x) + h(y) = C1
where h(y) is the constant of integration.
Integrating the second expression ∂/∂y[e^(-(1/4)cos(2y/x) + ln|x|)[xdy]] with respect to y:
e^(-(1/4)cos(2y/x) + ln|x|)x + g(x) = C1
where g(x) is the constant of integration.

Now, we have two equations:
e^(-(1/4)cos(2y/x) + ln|x|)cos^2(y/x) + h(y) = C1
e^(-(1/4)cos(2y/x) + ln|x|)x + g(x) = C1

Since x = 1 and y = π/4, we can substitute these values into the equations:
e^(-(1/4)cos(2(π/4)/1) + ln|1|)cos^2(π/4/1) + h(π/4) = C1
e^(-(1/4)cos(2(π/4)/1) + ln|1|) + g(1) = C1

Simplifying further:
e^(-(1/4)cos(π/2) + 0)cos^2(π/4) + h(π/4) = C1
e^(-(1/4)cos(π/2) + 0) + g(1) = C1

Since cos(π/2) = 0 and ln(1) = 0, we have:
e^0 * (1/2)^2 + h(π/4) = C1
e^0 + g(1) = C1

Simplifying further:
1/4 + h(π/4) = C1
1 + g(1) = C1

Therefore, the solution to the given equation [xcos^2(y/x)−y]dx+xdy=0, when x=1 and y=π/4, is:

e^0 * (1/2)^2 + h(π/4) = 1/4 + h(π/4) = C1
1 + g(1) = C1

Please note that the constants h(π/4) and g(1) can be determined based on the specific initial conditions of the problem.

Learn more about derivatives here:

https://brainly.com/question/23819325

#SPJ11

Answer:

positive

Step-by-step explanation:

3/5 + 3/5 = 6/5   positive

Answer:

The size of the scale model is 60 centimeters.

Step-by-step explanation:

Given that the length of a boat is 10.8 m, and Boris buys a scale model of the boat whose ratio is 1 to 18, to determine the length of the scale model of the boat in centimeters the following calculation must be performed:

1m = 100cm

10.8 m = (10.8 x 100) = 1080 cm

1080/18 = X

60 = X

Therefore, the size of the scale model is 60 centimeters.

Answer: 40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

23 degrees

Step-by-step explanation:

So basically you plug in -10x + 58 = 111 and then solve for x. You then plug x into 6x +41. Thats how you find the angle measure. Plz award brainliest

Answer:

23

Step-by-step explanation:

Ans is in attachment

hope it helps :)

plz mark as brainliest

Answer:

1/10 in first row

1/20 in second row

1/5 in third row

Step-by-step explanation:

it is simple, take first row, and look what is required to get 1,

here 5*2 is 10, so to get 1 we need to divide with 10

in second row, 20*1 is 20, so we need to divide with 20

and in third row 10* ½ is 5, so we need to divide with 5

1. Reduce Fat, Salt, and Sugar

When eating out, choose baked or grilled food instead of fried and do the same at home. Make water your go-to drink instead of soda or sweetened beverages. Read labels on packaged ingredients to find foods lower in sodium

2. In a non balanced diet nutritional that is lacking is:- Vitamin

3. When it relates to food, a “guilty pleasure” is something that's normally supposed to be “off-limits”; something we're supposed to feel shame about enjoying.Plan ahead. There's no better way to handle cravings than planning your meals and snacks ahead of time

Answer:

2/3

Use the rise over run formula and then simplify

Answer:

D

Step-by-step explanation:

Slop formula: m = (y2 - y1)/(x2 - x1)

First coordinate: (-3, -7)

Second coordinate: (9, 1)

m = (1- (-7) ) / (9 - (-3) )

m = (1 + 7) / (9 + 3)

m = (8)/(12)

m = 2/3

Answer:

D. 6

Step-by-step explanation:

Suppose the triangles are similar:

The side lenghts would be proportional as follows

XZ/DF = XY/DE

12/8 = 9/x cross multiply expressions

12x = 72 divide both sides by 12

x = 6

The correct phrase commonly used to word conditional probabilities is "given that." This phrase explicitly indicates the condition or event on which the probability calculation is based and emphasizes the dependence between events in the probability calculation.

Let's discuss each option in detail to understand why the correct phrase is "given that" when wording conditional probabilities.

"Dependent": The term "dependent" refers to the relationship between events, indicating that the occurrence of one event affects the probability of another event. While dependence is a characteristic of conditional probabilities, it is not the specific wording used to express the conditionality.

"Given that": This phrase explicitly states that the probability is being calculated based on a specific condition or event being true. It is commonly used to introduce the condition in conditional probabilities. For example, "What is the probability of event A given that event B has already occurred?" The phrase "given that" emphasizes that the probability of event A is being evaluated with the assumption that event B has already happened.

"Either/or": The phrase "either/or" generally refers to situations where only one of the two events can occur, but it does not convey the conditional nature of probabilities. It is often used to express mutually exclusive events, where the occurrence of one event excludes the possibility of the other. However, it does not provide the specific condition on which the probability calculation is based.

"Mutually exclusive": "Mutually exclusive" refers to events that cannot occur simultaneously. While mutually exclusive events are important in probability theory, they do not capture the conditionality aspect of conditional probabilities. The term implies that if one event happens, the other cannot occur, but it does not explicitly indicate the specific condition on which the probability calculation is based.

In summary, the correct phrase commonly used to word conditional probabilities is "given that." It effectively introduces the condition or event on which the probability calculation is based and highlights the dependency between events in the probability calculation.

To learn more about conditional probabilities visit : https://brainly.com/question/23382435

#SPJ11

The decimal expression for 9945/6444000 is 0.001543296...

To obtain it, follow this steps:

First, write both numbers in this arrangement:

Notice where the decimal point is placed.

Next, pick digits from the number 9945 from left to right until you have

that you

The minimum sum of products (MSP) expression of the given function F(A, B, C, D) can be obtained by using the Quine-McCluskey method.  In this case, the MSP expression for the given function is F(A, B, C, D) = A'C'D' + A'BCD + AB'C'D + ABCD.

The MSP expression is a simplified Boolean expression that represents the function in terms of its essential prime implicants.

The Quine-McCluskey method is an algorithm that uses the concepts of prime implicants, essential prime implicants, and petrick's method to simplify Boolean functions. The method starts with finding all the prime implicants of the function and then grouping them to form essential prime implicants. The essential prime implicants are then used to form the MSP expression of the function. The MSP expression obtained using this method is minimal, which means that it has the least number of terms and literals compared to other simplified expressions.

Learn more about Prime numbers here: brainly.com/question/30358834.

#SPJ11