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saw5 [17]
3 years ago
8

For a wall of a given material and of a fixed surface area, the rate of heat loss by conduction through the wall is inversely pr

oportional to the thickness (T) of the wall, and directly proportional to the temperature difference (d) across the wall. The rate of heat loss could be given by which of the following expressions?
A. 2d/T
B. 2 T/d
C. 2d + ½ T
D. 2(d + ½ T)
E. T/d
Mathematics
1 answer:
asambeis [7]3 years ago
6 0
The answer is        A .2d/T
Since d is directly proportional to the heat lost it should be the numerator
since T is inversely proportional to the heat lost it shoudl be the denormirator
 that is      1/T ;         2 is the constant
the actual formula is        R = kd/T
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Choose the correct simplification of the expression (2x - 6)(3x2 - 3x - 6). (4 points) Select one: a. 6x3 - 24x2 + 6x + 36 b. 6x
attashe74 [19]

Answer:

  a.  6x^3 - 24x^2 + 6x + 36

Step-by-step explanation:

These are expanded using the distributive property, which is also used for collecting terms.

  (2x - 6)(3x2 - 3x - 6) = 2x(3x^2 - 3x - 6) - 6(3x^2 - 3x - 6)

  = 6x^3 -6x^2 -12x -18x^2 +18x +36

  = 6x^3 +(-6-18)x^2 +(-12 +18)x +36

  = 6x^3 -24x^2 +6x +36 . . . . . . matches selection A

_____

<em>Comment on strategy</em>

For multiple-choice questions, it often works well to find a way to identify a viable answer with the minimum amount of work. Comparing these answer choices, you can see that determining the correct values of the x-term and the constant term will let you pick the right choice.

The constant term is easy, because it is simply the product of the constants (-6)(-6) = 36. This narrows the choices to A and C.

The x-term will be the sum of products of x-terms and constants:

  2x(-6) +(-6)(-3x) = -6(2x-3x) = -6(-x) = 6x

This narrows the choices to A alone.

5 0
4 years ago
Express the cost of hiring a taxi as a linear function of the distance traveled. Then identify the cost of hiring a taxi to trav
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
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John stands 150 meters from a water tower and sights the top at an angle of elevation of 36º. If John's eyes are 2 meters above
horsena [70]

Answer:

The height of tower DB=111\ meters.

Step-by-step explanation:

Diagram of the given scenario is shown below.

Given that,

Distance between John and tower is  CE=150 \ meters.

Angle of elevation to the top of the tower is \angle DEC=36°.

Height of John is  CB=2\ meters.

To Find: Height of the tower DB.

So,

In triangle ΔDCE,

                    Tan(∠DEC)= \frac{DC}{CE}

                    Tan (36)= \frac{DC}{150}

                     DC= tan(36)\times 150

                     DC=108.98\ meters

Now,

To calculate the height of tower we have

                    DB=DC+CB

                    DB=108.98+2

                    DB=110.98\ meters ≈ 111 \ meters

Therefore,

The height of tower DB=111\ meters.

           

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Answer:

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Ok so like all you need to do is
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