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blagie [28]
3 years ago
12

Write the statement in if-then form in two ways, one of which is the contrapositive of the other: Sam will be allowed on Signe's

racing boat only if he is an expert sailor.
Mathematics
1 answer:
bezimeni [28]3 years ago
4 0

Answer:

1) If Sam is an expert sailor then she will be allowed on Signe's racing boat.

2) If Sam is not allowed on Signe's racing boat, then she is not an expert sailor.

Step-by-step explanation:

  • The contrapositive statement of if P → Q is if ~Q→~P.

In this case we have: If Sam is an expert sailor then she will be allowed on Signe's racing boat.

P = Sam is an expert sailor

Q = Sam will be allowed on Signe's racing boat.

To write the contrapositive statement we're going to say if ~Q→ ~P

If Sam is not allowed on Signe's racing boat, then she is not an expert sailor.

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ozzi
SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.

208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.

Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.

If my dimensions were 2, 4, and 13...
my surface area would be 172 sq cm.

If my dimensions were 2, 2, and 26...
my surface area would be 208 sq cm.

Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.
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What is the length of AD? <br><br>A) 17<br>B) 15<br>C) 7<br>D) 1
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Use the Ratio Test to determine whether the series is convergent or divergent.
natka813 [3]

Answer:

The series is absolutely convergent.

Step-by-step explanation:

By ratio test, we find the limit as n approaches infinity of

|[a_(n+1)]/a_n|

a_n = (-1)^(n - 1).(3^n)/(2^n.n^3)

a_(n+1) = (-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)

[a_(n+1)]/a_n = [(-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)] × [(2^n.n^3)/(-1)^(n - 1).(3^n)]

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= 3/2 × 1

= 3/2

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