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qaws [65]
3 years ago
6

Simplify the expression, write in expanded form and exponential form.

Mathematics
1 answer:
Xelga [282]3 years ago
4 0

Answer:

225 x a^4

Step-by-step explanation:

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A concentric-tube heat exchanger cools hot water owing at 1 kg/s from 80C to 30C. It uses air owing at 5 kg/s to perform this co
nordsb [41]

Answer:

The log-mean-temperature-difference is 24.03⁰C

Step-by-step explanation:

First we need to know if the heat exchanger is in parallel flow or counter-flow. However, counter flow arrangement is best used to recover heat.

L.M.T.D for counter flow is given as;

L.M.T.D =\frac{(T_h_f_1 -T_c_f_2)-(T_h_f_2 -T_c_f_1)}{2.3log[\frac{T_h_f_1 -T_c_f_2}{T_h_f_2 -T_c_f_1}]}

where;

Thf₁ is the initial temperature of the hot fluid = 80°C

Tcf₂ is the final temperature of the cold fluid = 51.5°C

Thf₁ - Tcf₂ = 80 - 51.5 = 28.5⁰C

Thf₂ is the final temperature of the hot fluid = 30°C

Tcf₁ is the initial temperature of the cold fluid = 10°C

Thf₂ - Tcf₁ = 30 - 10 = 20⁰C

L.M.T.D = \frac{28.5 -20}{2.3Log[\frac{28.5}{20}]} \\\\L.M.T.D = \frac{8.5}{0.3538} =24.03^oC

Therefore, the log-mean-temperature-difference is 24.03⁰C

3 0
3 years ago
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Omg please help for brainlist !!!!!!!!!!!!!!!!!!!
zhannawk [14.2K]

Answer:

f(x) is linear

g(x) is exponential

Step-by-step explanation:

A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.

First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:

(-38)-(-18)=-20\\(-58)-(-38)=-20\\(-78)-(-58)=-20

All of these points are the same distance apart on the y, so f(x) must be a linear function.

Now look at g(x). These are also all equally distant at only 1 unit apart.

30-10=20\\90-30=60\\270-90=180

These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.

6 0
2 years ago
A proof of the Alternate Interior Angles Theorem, using parallel lines a and b with transversal m, is shown below.
mart [117]

Answer:

reflexive property

that is

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3 years ago
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A data set has a mean of x = 71 and a standard deviation of 11.6. Find the z-score for each of the following.
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Answer:

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Step-by-step explanation:

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2 years ago
Is a rectangular prism has a length width and height of 3/8cm, 5/8cm and 7/8 in a meter respectively then the volume of the pris
myrzilka [38]

The volume of a rectangular prism is given by the multiplication of its three dimensions: if w, h, l are the width, height and length of the prism, the volume is

V = w\cdot h\cdot l

So, in your case, you have

V = \dfrac{3}{8} \cdot \dfrac{5}{8} \cdot \dfrac{7}{8} = \dfrac{3\cdot 5 \cdot 7}{8\cdot 8 \cdot 8} = \dfrac{105}{512}

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3 years ago
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