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2 years ago

Conditional statements I really need some help

Mathematics

1 answer:

Sloan [31]2 years ago

6 0

p -> q is represented as "If you have a library card, then you can check out books"

~q -> ~p is represented as "If you cannot check out books, then you do not have a library card" This is contrapositive by definition.

q -> p is represented as "If you can check out books, then you have a library card" This is the converse

~p -> ~q is represented as "If you do not have library card, then you cannot check out books". This is the inverse

p <-> q is represented as "You have library card if and only if you can check out books". This is the biconditional.

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3 years ago

Find the product. Tell which strategy you used for (4 x 10) x 10

Hitman42 [59]

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2 years ago

Patsy by 8 yards of ribbon. She cuts it into 16 equal pieces. How many inches long is each piece?

777dan777 [17]

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2 years ago

For any number n>1 is |(3/4+2/3i)^n|

sasho [114]

The for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

$= \rm |(\dfrac{2}{3}+\dfrac{3}{4}i)^n|\\\\\\= \rm |(\dfrac{8+9i}{12})^n|\\\\\\= \rm |\dfrac{(8+9i)^n}{12^n}|\\\\$

Here n>1

Plug n = 2

$= \rm |\dfrac{(8+9i)^2}{12^2}|\\\\$

= 145/144

= 1.0069

Which is greater than 1.

Thus, the for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

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2 years ago

Y varies directly as x. If x=7 then y = 56. Find ybwhen x=3

marshall27 [118]

When something varies directly as something else, their ratio of change always stays the same.

56 / 7 = 8

Therefore,

8 * 3 = 24

If x = 3 then y = 24

6 0

2 years ago