Andrea needs a new air conditioning system for her house. An air conditioner needs to

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

MArishka [77]

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:

Atomic statements: These are statements that cannot be split into mini statements.
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

3 0

3 years ago

Find the volume of this cylinder. Use 3 for T.

DIA [1.3K]

Answer:

$volume = \pi {r}^{2} h \\ = 3 \times {5}^{2} \times 12 \\ = 900 \: {ft}^{3}$

3 0

3 years ago

Which of these is a trinomial?

7nadin3 [17]

I’m thinking it’s D but i’m not too sure

8 0

3 years ago

Read 2 more answers

What is ? |6| + |5| =

777dan777 [17]

Answer:11

It is 11 because the lines beside the numbers represent ABSOLUTE VALUE. Absolute value basically means that wether or not it is a positive or negative number it will always be positive. Simplify-6+5=11

7 0

3 years ago

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!! CERTAIN ANSWERS AND I WILL MARK YOU AS BRAINIEST!!!! WISH YOU BEST OF LUCK HOPEFULLY ITS N

AURORKA [14]

Answer:

1)

Minimum is a 4th Degree

2)

Positive; Even

3)

$x=-4, -1\text{ Odd Multiplicity}\\x=3\text{ Even Multiplicity}$

Step-by-step explanation:

Part 1)

The minimum degree of our function will be 4.

Looking at the graph, we know that the graph crosses the x-axis at -4 and -1. Since it crosses through the x-axis at these two points, these two factors must have an odd multiplicity.

So, it can be anything 1, 3, 5, 7, etc.

However, we will choose the lowest one, 1.

Next, we know that the graph bounces off at 3.

So, it must have an even multiplicity. In other words, 2, 4, 6, 8, etc.

We choose the lowest one, 2.

Therefore, the minimum degree of our function will be 1+1+2 or 4.

Part 2)

The degree of our polynomial is (and will always be) even. Therefore, both ends of the graph will go in the same direction.

Recall the simplest even polynomial, the parent quadratic function. When the leading coefficient is positive, both of the ends go straight up.

This applies to all polynomials with even degrees.

Therefore, since the arms of the graph is going straight up towards positive infinity, the leading coefficient of our graph must be positive.

Part 3)

This is similar to Part 1.

We can see that the graph touches the x-axis at -4, -3, and 1. So, the zeros of the function is: $x=-4, -1, 3$

We know that it passes through $x=-4 \text{ and } x=-1$ . So, these two factors must have an odd multiplicity.

However, since the graph bounces off $x=3$ , this factor must have an even multiplicity.

And we're done!

7 0

3 years ago