What are number properties

Answer:

Step-by-step explanation:

A.) 16500 Seconds

B.) 12569 Seconds

C.) 38116 Seconds

D.) 20700  Seconds

E.) 7256

The surface temperature is found to be  approximately 11°C.

Given:

Pipe inner diameter, di = 4cm

= 0.04m

Pipe outer diameter, do = 4.6cm

= 0.046m

Thermal conductivity of stainless steel, kss = 15 W/m.K

Thickness of glass wool insulation, L = 3.5cm

= 0.035m

Thermal conductivity of glass wool insulation, kgi = 0.038 W/m.K

Outer emissivity of the insulation, εo = 0.3

Heat transfer coefficient inside the pipe, hi = 80 W/m2.K

Film temperature, Tfilm = 10°C = 283K

Air velocity, V = 2m/s

Air viscosity, μ = 1.426 × 10–5m2/s

Air thermal conductivity, ka = 0.02439 W/m.K

Air Prandtl number, Pr = 0.7336

Outer surface temperature of the insulation is T∞ = 3°C = 276K

The surface temperature of the insulation is given by;

Ts = T∞ + q″Rout/hsq″

= hi (Tsteam – Ts) …(1)

The overall resistance to heat transfer from steam to the surrounding air and surfaces is given by;

Rtot = Ri + Rk + Ro + Rconv + Rrad

Ri = (ln(do/di))/(2πkss)

= (ln(0.046/0.04))/(2 × π × 15)

= 0.0001926 m2.K/W…(2)

Rk = L/(2πkgi)

= 0.035/(2π × 0.038)

= 0.0145 m2.K/W…(3)

Ro = 1/(2πεoσout) [(1/do) – (1/di)]

= [1/(2π × 0.3 × 5.67 × 10–8)][(1/0.046) – (1/0.04)]

= 0.004685 m2.K/W…(4)

Rconv = 1/hs

= 1/hi

= 0.0125 m2.K/W…(5)

Rrad = 1/(εoσout) [(1/do) – (1/di)]

= [1/(0.3 × 5.67 × 10–8)][(1/0.046) – (1/0.04)]

= 0.0028 m2.K/W…(6)

Rtot = Ri + Rk + Ro + Rconv + Rrad

= 0.0001926 + 0.0145 + 0.004685 + 0.0125 + 0.0028

= 0.0346776 m2.K/W…(7)

From equation (1);

q″ = hi (Tsteam – Ts)

q″ = (Tsteam – Ts)/Rtot

(Tsteam – Ts) = q″ Rtot

(Tsteam – Ts) = hi

q″ Rtot TsTsteam = Ts + hi

q″ RtotTsteam = 276 + (80 × π × 0.04 × 0.6)/3600 × (693.7 – 276 + 0.24 × 5.67 × 10–8 × [(693.7)4 – (276)4])

Tsteam = 693.7K

Ts = T∞ + q″Rout/hs

Ts = 276 + (693.7 – 276) × 0.004685/80

Ts = 284.54K

The surface temperature is 284.54 - 273.15 = 11.39 °C.

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Answer: 13?i really dont know

Step-by-step explanation:

Answer: $4.28

Step-by-step explanation:

We can set up the following equation to find the cost of the admission of play:

(14 students x $2x admission) + (14 students x $2 program) = (22 students x $x admission) + (22 students x $4 program)

We know the admission cost for the play is twice that of the musical, so we can substitute that into the equation:

(14 students x $2x admission) + (14 students x $2 program) = (22 students x ($2x/2) admission) + (22 students x $4 program)

Simplifying the equation:

28x + 28 = 22x + 88

Solving for x:

28x + 28 = 22x + 88

28x - 22x = 88 - 28

6x = 60

x = 60/6

So, x = 10 is the solution of the equation.

And I got $2.14 from x = 60/28 = 2.14

That was the value that makes the equation true in the first step (14 students x $2x admission) + (14 students x $2 program) = (22 students x $x admission) + (22 students x $4 program)

So x = 2.14 is the price of the musical admission.

x = $2.14

Therefore, the admission cost for each student that is going to the play is $2x = $2.14 x 2 = $4.28.

Answer:

is 300 trust me

Step-by-step explanation:

The dual model for the given primal model is, Maximize W = 55y₁ + 80y₂ + 57y₃ and Subject to 11y₁ + 21y₂ + 31y₃ ≥ 10 and 12y₁ + 22y₂ + 33y₃ ≥ 9, with the nature restrictions: y₁ ≥ 0, y₂ unrestricted, y₃ unrestricted.

To obtain the corresponding dual model for the given primal model

The primal model is:

Minimize Z = 10x₁ + 9x₂ + 8x₃

Subject to:

11x₁ + 12x₂ = 55

21x₁ + 22x₂ + 23x₃ ≤ 80

31x₁ + 33x₃ ≤ 57

x₁ ≤ 0, x₂ ≥ 0, x₃ is unrestricted

a) The dual objective function is obtained by taking the coefficients of the primal model's constraints as the variables in the dual model's objective function. Thus, the dual objective function is:

Maximize W = 55y₁ + 80y₂ + 57y₃

where y₁, y₂, and y₃ are the dual variables corresponding to the primal constraints.

b) The dual constraints are obtained by taking the coefficients of the primal model's variables as the variables in the dual model's constraints. The primal inequalities become the dual equalities and vice versa. Additionally, the sign restrictions of the primal variables become sign restrictions for the dual variables. Thus, the dual constraints are:

11y₁ + 21y₂ + 31y₃ ≥ 10

12y₁ + 22y₂ + 33y₃ ≥ 9

where y₁, y₂, and y₃ are the dual variables corresponding to the primal variables.

c) Nature restrictions of the dual variables:

Since x₁ ≤ 0 in the primal model, the corresponding dual variable y₁ has the restriction y₁ ≥ 0 (non-negativity).

Since x₂ ≥ 0 in the primal model, the corresponding dual variable y₂ has no specific restriction.

Since x₃ is unrestricted in the primal model, the corresponding dual variable y₃ is also unrestricted.

Therefore, the complete dual model is:

Maximize W = 55y₁ + 80y₂ + 57y₃

Subject to:

11y₁ + 21y₂ + 31y₃ ≥ 10

12y₁ + 22y₂ + 33y₃ ≥ 9

y₁ ≥ 0, y₂ is unrestricted, y₃ is unrestricted

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Answer:

It's D

Step-by-step explanation:

2t - 30(\(\frac{1}{5}\)) = 20

2t - \(\frac{30}{1}\) (\(\frac{1}{5}\)) = 20

2t - \(\frac{30}{5}\) = 20

2t - 6 = 20

2t - 6 + 6 = 20 +6

2t = 26

\(\frac{2t}{2}\) = \(\frac{26}{2}\)

t = 13

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

take away 8 from 14 then see if the answer works for x by doing 28 - that answer

Step-by-step explanation:

The probability density function f(x) is (1/10)e^(-x/10) for x > 0 and 0 elsewhere, and P(X > 12) is approximately 0.3012.

(a) To find the probability density function, f(x), we need to differentiate the cumulative distribution function F(x) with respect to x.

Given F(x) = 1 - e^(-x/10) for x > 0 and 0 elsewhere, we have:

f(x) = dF(x)/dx

= d(1 - e^(-x/10))/dx for x > 0 f(x)

= (1/10)e^(-x/10) for x > 0 and 0 elsewhere.

(b) To find P(X > 12), we can use the complementary probability, which is 1 - P(X ≤ 12).

Using the cumulative distribution function

F(x): P(X > 12)

= 1 - F(12) = 1 - (1 - e^(-12/10))

= e^(-12/10) ≈ 0.3012.

So, the probability density function f(x) is (1/10)e^(-x/10) for x > 0 and 0 elsewhere, and P(X > 12) is approximately 0.3012.

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Answer:

False

Step-by-step explanation:

-(-21) is positive 21 since there are 2 negative signs, and -21 is negative, therefore they are not the same.

Hope this helps!

Answer:

False. It is equal to 21.

Step-by-step explanation:

-(21) would equal -21

However,

- (- 21) equals 21

The two negatives "cancel" each other out.

Answer: False. It is equal to 21.

Answer:

h(x)

h(x)

f(x) g(x) h(x)

Step-by-step explanation:

Edge 2020

~theLocoCoco

h(x) , h(x) , and f(x) g(x) h(x)

The number of bacteria after 5 hours is approximately 1013.8.

We can use the formula for exponential growth to solve this problem. If a population grows at a rate proportional to its size, then we can writ

N(t) = N₀ × e^(rt),

where N(t) is the size of the population at time t, N₀ is the initial size of the population, r is the growth rate, and e is the mathematical constant approximately equal to 2.71828.

We know that the culture starts with 40 bacteria, so N₀ = 40. We also know that after 2 hours, the size of the population is 180. We can use this information to solve for r:

180 = 40 × e^(2r)

180/40 = e^(2r)

ln(180/40) = 2r

r = ln(180/40)/2

r ≈ 0.6931

Now we can use the formula to find the size of the population after 5 hours:

N(5) = 40 × e^(0.6931×5)

N(5) ≈ 1013.8

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Answer:

Step-by-step explanation:

The correct answer is: The median of 14 is the most accurate to use, since the data is skewed.

Explanation: Since the data is skewed to the right, meaning there are some larger donations that pull the mean up, the median is a more accurate measure of center. It represents the middle value of the data when it is ordered from smallest to largest, and is not affected by extreme values.

The correct answer is: The IQR is the best measure of variability, and it equals 3.

Explanation: The IQR (interquartile range) is the best measure of variability for this data because it shows the range of the middle 50% of the data. The range, which is the difference between the minimum and maximum values, is affected by outliers and extreme values. In this case, the IQR is equal to 20-17=3.

The correct answer is: There is an outlier at 22.

Explanation: To determine if there are outliers in the data, we can use the rule: an outlier is any value more than 1.5 times the IQR below the first quartile or above the third quartile. The first quartile is 9.5 and the third quartile is 18, so the IQR is 18-9.5=8.5. Therefore, any value less than 9.5-1.5(8.5)= -4.25 or greater than 18+1.5(8.5)=30.25 would be considered an outlier. The value of 22 is greater than 30.25, so it is an outlier.

The correct answer is: The IQR is the best measure of variability, and it equals 18.5.

Explanation: The IQR (interquartile range) is the best measure of variability for this data because it shows the range of the middle 50% of the data. The range, which is the difference between the minimum and maximum values, is affected by outliers and extreme values. In this case, the IQR is equal to the difference between the third quartile (25) and the first quartile (6.5), which is 18.5.

The correct answer is: Player A is the most consistent, with an IQR of 1.5.

Explanation: The IQR (interquartile range) is the best measure of variability for this data because it shows the range of the middle 50% of the data. To find the IQR, we first need to find the first and third quartiles. For Player A, the first quartile is 2 and the third quartile is 3, so the IQR is 3-2=1. For Player B, the first quartile is 2 and the third quartile is 5, so the IQR is 5-2=3.

The correct answer is: The median is the best measure of center, and it equals 7.3.

Explanation: Since the data is not strongly skewed, either the mean or the median could be used as a measure of center. However, the median is often preferred because it is less affected by extreme values. The median for this data is the value that is in the middle when the data is ordered from smallest to largest. In this case, we have 10 data points, so the median is the average of the 5th and 6th values, which are both equal to 7. Therefore, the median is 7, and not 7.3. The mean is also 7.3, but it is affected by the extreme values.

Answer:

See below, please.

Step-by-step explanation:

Question 1

The median of 14 is the most accurate to use, since the data is skewed.

Question 2

The IQR is the best measure of variability, and it equals 3.

Question 3

There is an outlier at 22.

Question 4

The IQR is the best measure of variability, and it equals 18.5.

Question 5

Player A is the most consistent, with an IQR of 1.5.

Question 7: The median is the best measure of center, and it equals 7.3.

Answer:

The answer to the question would be D

Given Jessica and Laura's expenditure on shirts and pants, the equation to solve for the price of each shirts and pants is:

3s + 4p = 90

4s + 2p = 70

Let

Cost of each shirts = s

Cost of each pants = p

Jessica:

3s + 4p = 90 (1)

Laura:

4s + 2p = 70 (2)

Multiply (2) by 2

8s + 4p = 140 (3)

8s + 4p = 140 (3)3s + 4p = 90 (1)

Subtract (1) from (3) to eliminate p

8s - 3s = 140 - 90

5s = 50

s = 50/5

s = $10

substitute s = 10 into (1)

3s + 4p = 90 (1)

3(10) + 4p = 90

30 + 4p = 90

4p = 90 - 30

4p = 60

p = 60/4

p = $15

Therefore, the cost of each shirts is $10 and the cost of each pants is $15

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Answer:

=774-26.3

=747.7

Step-by-step explanation:

hope you like my answer

747.7

It's easy.

You can do with calculator too.

Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

The amount Arianna sold 80 milkshakes last week, and 35% of them had whipped cream on top. This means 28 milkshakes had whipped cream.

Arianna sold 80 milkshakes last week and 35% of them had whipped cream on top. This means that 35% of the total number of milkshakes, 80, had whipped cream. To calculate the amount of milkshakes with whipped cream, we must multiply the total number of milkshakes (80) by 35%. 35% of 80 is 28, so 28 milkshakes had whipped cream. To find the percentage, we divide the amount of milkshakes with whipped cream (28) by the total number of milkshakes (80). When we divide 28 by 80, we get 0.35, which is the same as 35%. Therefore, 35% of the milkshakes sold by Arianna last week had whipped cream on top.

Total milkshakes: 80

Milkshakes with whipped cream: 28

Percentage: 28/80 = 0.35 = 35%

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The graph of the parent absolute value function is decreasing over the interval (-∞, 0). The function exhibits a decreasing behavior as x moves from negative infinity towards zero, where the absolute value decreases.

The parent absolute value function is defined as f(x) = |x|. To determine where the graph of this function is decreasing, we need to identify the intervals where the function's slope is negative.

Let's analyze the behavior of the parent absolute value function:

For x < 0, the function can be rewritten as f(x) = -x. In this interval, the function is a linear function with a negative slope of -1. As x decreases, f(x) also decreases, indicating a decreasing behavior.

For x > 0, the function remains f(x) = x. In this interval, the function is a linear function with a positive slope of 1. As x increases, f(x) also increases, indicating an increasing behavior.

At x = 0, the function is not differentiable since the slope changes abruptly from negative to positive. However, it is worth noting that the function does not strictly decrease or increase at x = 0.

Therefore, we can conclude that the graph of the parent absolute value function is decreasing over the interval (-∞, 0).

In this interval, as x moves from negative infinity towards zero, the function values decrease. The farther away x is from zero (in the negative direction), the larger the absolute value, resulting in a decrease in the function values.

On the other hand, the graph of the parent absolute value function is increasing over the interval (0, ∞), as explained earlier.

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Answer:

54

Step-by-step explanation:

31 cheese pizza+23hawaiian pizzas=54 pizza in all

Answer:3

Step-by-step explanation:

Therefore, we have to make x-term as the subject of equation. Currently c-term is the subject of equation.

\(6 + x = c \\ x = c - 6\)

Isolate x and we get the answer.

\( \large \boxed{x = c - 6}\)

The  height of the pyramid is 6cm

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Six square-based pyramids fit exactly onto the six faces of a cube of side 4 cm.

The volume of the object formed is 256 cm³.

We need to find the  height of each of the pyramids.​

The total volume can be calculated as

Total volume= cube volume+6 one pyramid volume

cube volume=4³=64

pyramid volume=1/3.4²h=16/3h

64+6.16h/3=256

64+32h=256

Subtract 64 on both sides

32h=256-64

32h=192

Divide both sides by 32

h=6

Hence, the  height of the pyramid is 6cm

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Answer:

hi

Step-by-step explanation:

The median of the given data is 131, which is the average of the two middle values of the box plot range.

The given box-and-whisker plot represents the average speed of a certain car for several laps. The median value is the middle value of the data when it is arranged in ascending or descending order. In this case, the median is the value that divides the box into two equal halves.

Since the box plot range is from 126 to 131 and 131 to 135, the median value would be the average of the two middle values, which are 131 and 131. Therefore, the median of the given data is (131+131)/2 = 131.

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