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Sati [7]
2 years ago
11

Classify each of the sentences below as an atomic statement, a molecular statement, or not a statement at all. If the statement

is molecular, say what kind it is (conjunction, disjunction, conditional, biconditional, negation).
a. The sum of the first 100 odd positive integers.
b. Everybody needs somebody sometime.
c. The Broncos will win the Super Bowl or I'll eat my hat.
d. We can have donuts for dinner, but only if it rains.
e. Every natural number greater than 1 is either prime or composite.
f. This sentence is false.
Mathematics
1 answer:
MArishka [77]2 years ago
3 0

Answer:

a. The sum of the first 100 odd positive integers - Not a statement

b. Everybody needs somebody sometime - Atomic statement

c. The Broncos will win the Super Bowl or I'll eat my hat - Molecular statement (disjunction)

d. We can have donuts for dinner, but only if it rains - Molecular statement (conditional)

e. Every natural number greater than 1 is either prime or composite - Atomic statement

f. This sentence is false - Not a statement

Step-by-step explanation:

A statement in mathematics can be said to be any declarative statement that can either be true or false. While a sentence is considered to not be a statement if

Statements are divided into 2:

  1. Atomic statements: These are statements that cannot be split into mini statements.
  2. Molecular statements: These are the opposites of atomic statements. They are statements that cannot be spilt. This can further be divided into; conjunction, disjunction, conditional, bi-conditional and negation
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Answer:

A

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Consider the parent function y=|x|. The graph of this function is represented as red graph in attached diagram.

Now consider the function y=|x+2|.

Remind main translations of the graph of the function y=f(x):

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In your case, the graph of the function y=|x+2| is translated graph of the function y=|x| 2 units to the left (blue graph). So, correct answer is option A.

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A private airplane leaves an airport and flies due east at 192 km/hr. Two hours later, a jet leaves the same airport and flies d
elixir [45]
The answer is 0.5 hours.

A velocity (v) of an object is a distance (d) divided by time (t):
v = d ÷ t                         ⇒                  t = d ÷ v

It is given:
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v2 = 960 km/h
t1 - t2 = 2h
We need to calculate t2.

Since they will travel the same distance before the jet overtakes the plane, we can say that d1 = d2 = d

Now, let's express t1 and t2:
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Therefore: d/192 - d/960 = 2
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