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andriy [413]
3 years ago
12

The following function is continuous at all points in the domain of real numbers. What is the value of n?

Mathematics
1 answer:
ira [324]3 years ago
6 0

Answer:

<h2>D. 1</h2>

Step-by-step explanation:

To solve this problem, we just need to find the common point of these linear function, beacuse they form a piecewise function which is continuous according to the problem, that means they are related by one common point.

Let's solve the following expression f(x)=g(x), where f(x) =2x+2 and g(x)=4x. So,

2x+2=4x\\2=4x-2x\\2x=2\\x=1

Which means n=1, that is, if the n is greater than 1, then the function is defined by f(x), if the n is least or equal than 1, then the functioni is defined by g(x)

Therefore, the right answer is D.

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If a 100 m. diameter wind turbine is exposed to 7 m/s wind with an air density of 1.25 kg/m what is the electricity produced by
Yuliya22 [10]

Answer:

electric energy = 980 J

Step-by-step explanation:

Given,

Diameter of wind turbine = 100 m

Speed of wind,v = 7 m/s

Density of air = 1.25 kg/m

Hence, the total mass of air enters into turbine =Speed of wind x Diameter of wind turbine

                                                                             = 1.25 x 100

                                                                              = 125 kg

Hence, total mechanical energy of turbine can be given by,

E\ =\ \dfrac{1}{2}.m.v^2

    =\ \dfrac{1}{2}\times 125\times 7^2

    = 3062.5 J

Efficiency of turbine = 32%

Hence,

total electric energy = 32% of mechanical energy

                                  =\dfrac{32}{100}\times 3062.5\ J

                                  = 980 J

So, the total electric energy produced by the turbine will be 980 J.

6 0
3 years ago
Samuel is looking at the floor plan of his house to determine how much carpet he needs to buy for his basement. Based on the flo
DerKrebs [107]

Answer:

B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2).

Step-by-step explanation:

Samuel should is looking to find the area of his basement in order to cover it with carpet.

An area is calculated by multiplying two dimensions (so answers A and D are not it).

Best solution is to divide the area into two large rectangles then ADD them together to get the total area.

The only scenario where he could have subtracted something based on his plan is if he would have multiplied the 10m by the 12m then subtracted the area that is not part of his basement (7mx8m).  He would have achieved the same result of course, but by going a different way.

3 0
3 years ago
One dieter in a weight loss contest weighed 149 pounds after 8 weeks on his diet. By week 13, he weighed 134 pounds. What is his
Marianna [84]
To find the average, divide change in weight by change in weeks. 
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You should get a negative number, because he loses weight. 
4 0
4 years ago
One more, c'mon dont do any thing stu pid guys please. im beggng on my knees
aleksley [76]

Answer: 3/8

Step-by-step explanation: The probability of getting a tail is 1/2, then another tail, is 1/2×1/2, and then a head, is (1/2)^3. There are 3 ways to order this, so the 3/8 is the probability.

4 0
3 years ago
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plz don't be mad I need points

4 0
3 years ago
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