AnswersINMT2 Integrated Math 2 Sem 2 26-27Volume of Cylinders, Cones, and Spheres

Sets and Venn Diagrams Answers

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1
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If the set U = {all positive integers} and set A = {x|x ∈ U and x is an odd positive integer}, which describes the complement of set A, Ac?

A
Ac = {x|x ∈ U and is a negative integer}
B
Ac = {x|x ∈ U and is zero}
C
Ac = {x|x ∈ U and is not an integer}
D
Ac = {x|x ∈ U and is an even positive integer}
2
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Consider U = {x|x is a negative real number}.Which is an empty set?

A
{x|x ∈ U and x has a negative cube root}
B
{x|x ∈ U and x has a negative square root}
C
{x|x ∈ U and x is equal to the product of a positive number and –1}
D
{x|x ∈ U and x is equal to the sum of one negative and one positive number}
4

Which statements are true about x? Select three options.

A
x ∈ B ⋃ C
B
x ∈ B ∩ C
C
x ∈ A ⋃ C
D
x ∈ A ∩ C
E
x ∈ A
6

The universal set is the set of rational numbers. S is the set of integers.Which represents Sc?

A
{x|x is a real number}
B
{x|x is a rational number}
C
{x|x is a rational positive number}
D
{x|x is a rational non-integer}
11

On a coordinate plane, triangle A B C and parallelogram G H J K are shown. Triangle A B C has points (2, 0), (1, negative 6), (negative 2, negative 4). Parallelogram G H J K has points (0, 0), (1, 2), (negative 2, 4), and (negative 3, 2).

Question illustration
A
The area of △ABC is 2 square units greater than the area of parallelogram GHJK.
B
The area of △ABC is 1 square unit greater than the area of parallelogram GHJK.
C
The area of △ABC is equal to the area of parallelogram GHJK.
D
The area of △ABC is 1 square unit less than the area of parallelogram GHJK.
16

The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units.

Question illustration
A
a cone with a base radius of 17 units
B
a cone with a base radius of 34 units
C
a cylinder with a base radius of 17 units
D
a cylinder with a base radius of 34 units
18

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. The table shows the land area and seismic activity density.

Question illustration
A
State A had approximately 1,533 more earthquakes than State B.
B
State B had approximately 1,533 more earthquakes than State A.
C
State A had approximately 3,362 more earthquakes than State B.
D
State B had approximately 3,362 more earthquakes than State A.

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