Answer:
See explanation
Step-by-step explanation:
1. R is the set of all integers with absolute value less than 10, thus

2. A is its subset containing all natural numbers less than 10, thus

3. B is the set of all integer solutions of inequality 2x+5<9 that are less than 10 by absolute value (and therefore, it is also a subset of R). First, solve the inequality:

Thus,

See the diagram in attached diagram.
Note that

Answer:
1. C. Yes, because a sum of cubes can be factored
2a. false
2b. false
2c. true
2d. false (based on what is written in the equation; refer to step-by-step)
Step-by-step explanation:
1. Both 3 and 8 can be cubed, which is why x^3+8 can be factored (x+2)(x^2-2x+4)
2a. a^2-b^2 can be factored by the perfect square rule, so it should be (a-b)^2
2b. both terms are perfect squares, so you can factor, making it (a+b)(a-b)
2c. You can factor using the perfect square rule, making it (a+b)^2
2d. Most of what is in the equation is true, yet the correct solution would be (a-b)(a^2+ab+b^2)
Answer:
C
Step-by-step explanation:
Divide the household with pet rabbits by the total number of household in the U.S. to get the proportion of U.S. households with pet rabbits. Then, convert the proportion to a percentage.
6,678,000/126,200,000 ≈ 0.05 = 5%
The value of the expression
is 
<h3>How to evaluate the sum?</h3>
The attachment represents the proper format of the question
The summation expression is given as:

Expand the radicands

Evaluate the square roots

Add the like terms

Hence, the value of the expression
is 
Read more about expressions at:
brainly.com/question/723406
#SPJ1