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Reptile [31]
2 years ago
9

Consider the recursively defined set S: Basis Step: The unit circle is in S. Recursive Step: if x is in S, then x with a line th

rough any diameter is in S. (a) (4 points) Prove that: is in S. (b) ( 6 points) For an element x ∈ S, define V (x) be the number of vertices (i.e. the number of intersections of lines and arcs and lines with lines), let E(x) to be the number of edges (line segments or arcs between vertices), and let F(x) be the number of faces. Prove that for any x ∈ S that F + V = E + 1. (Please use structural induction.)

Mathematics
1 answer:
Schach [20]2 years ago
7 0

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images for the step by step explanation to the question

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4% of a number is what fraction of that number?
Brut [27]

Answer:

1/25 or 4/100

Step-by-step explanation:

5 0
3 years ago
Does the point (4, 0) satisfy the equation y = x2?
andre [41]
Y=x^2
substitute the values into the original equation
0=4^2
0=16
No it does not satisfy the equation because 0 does not equal to 16
8 0
2 years ago
6y - 5x = 5 and x= 2y + 7
jolli1 [7]
Y = -10 and x = -13 (substitute 2y + 7 for x)
5 0
3 years ago
Dan buys 24 packets of nuts. Each packet of nuts weighs 225g. Work out the total weight of all the packets of nuts that dan buys
Vlada [557]

Answer:

 Total weight of the nuts bought by Dan =  5.4 kg

Explanation:

Number of packets of nuts bought by Dan = 24

Weight of each packet of nuts = 225g

 Total weight of the nuts bought by Dan = Number of packets of nuts bought by Dan * Weight of each packet of nuts

    Total weight of the nuts bought by Dan = 24 * 225 = 5400 g = 5400/1000 kg = 5.4 kg

    Total weight of the nuts bought by Dan =  5.4 kg

3 0
2 years ago
A savings account compounds interest, at a rate of 22%, once a year. George puts $750 in the account as the principal. How can G
Umnica [9.8K]
George shouldn't think too far.

He should use the formula for Compound Interest.

Amount in compound interest, A = P(1+ r/100)ⁿ.

Where A = Amount, P = Principal, r is the rate per year, n = number of years.

Note: the expression (1+ r/100) is raised to power  n.     

From George's problem: P = 750,    r = 22,  I guess number of years , n = x

A(x) = 750( 1 + 22/100)ˣ

A(x) = 750( 1 + 0.22)ˣ 

From your options I can't see an answer. Except the expression of option (A) is actually raised to power x, and not times x as stated in the option.  
5 0
2 years ago
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