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3 years ago

Which of the functions below could have created this graph?

Mathematics

2 answers:

Burka [1]3 years ago

8 0

Answer:

Step-by-step explanation:

C is the answer hope you mark me brainlyist

Sever21 [200]3 years ago

5 0

C is the right answer

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A rock is dropped from the top of a building and hits the ground at a velocity of −72ft/sec. If the acceleration due to gravity

Savatey [412]

It should be twelve feet

3 0

2 years ago

Determine whether the first phrase is a subset of the second phrase, or the second phrase is a subset of the first phrase, or ne

S_A_V [24]

Answer:

Kindly check explanation

Step-by-step explanation:

A subset simply refers to a set whose elements are all members of a larger set.

Going by the definition :

The set of people born in the U.S is a subset of the set of people who are U. S citizens because citizenship in the U. S is not only attained by birth.

The set of Java students are all members of the set containing students studying a programming language, hence, The set of students studying Java is a subset of the set of students studying a programming language because Java is just one of the many different types of programming languages

{FISH_IN_OCEAN} is a subset of of the set of animals living in Ocean because not only fishes live in the ocean, fish is just one of the diverse marine animals that exist.

4 0

3 years ago

What is the center and radius of the circle? * x² – 2x + 5+ y² = 8

wolverine [178]

Answer: center (1;0), radius = 2

Step-by-step explanation:

x² – 2x + 5+ y² = 8

x² – 2x + 5+ y² = x² – 2x + 1 + 4 + y² = (х-1)² +4 + y²

(х-1)² +4 + y² = 8

(х-1)² + y² = 8 - 4 = 4

(х-1)² + y² = 2²

center (1;0), radius = 2

5 0

3 years ago

Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height,

omeli [17]

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

Pyramid A

$s = 4$ -- base sides

$V = 36$ -- Volume

Pyramid B

$s = 6$ --- base sides

Required

Determine the volume of pyramid B [Missing from the question]

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

$V = \frac{1}{3} * B * h$

Where B represents the area of the base equilateral triangle, and it is calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

$B = \frac{1}{2} * s^2 * sin(60)$

$B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}$

$B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}$

$B = 4\sqrt 3$

The height is calculated from:

$V = \frac{1}{3} * B * h$

This gives:

$36 = \frac{1}{3} * 4\sqrt 3 * h$

Make h the subject

$h = \frac{3 * 36}{4\sqrt 3}$

$h = \frac{3 * 9}{\sqrt 3}$

$h = \frac{27}{\sqrt 3}$

To calculate the volume of pyramid B, we make use of:

$V = \frac{1}{3} * B * h$

Since the heights of both pyramids are the same, we can make use of:

$h = \frac{27}{\sqrt 3}$

The base area B, is then calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where

$s = 6$

So:

$B = \frac{1}{2} * 6^2 * sin(60)$

$B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}$

$B = 9\sqrt 3$

So:

$V = \frac{1}{3} * B * h$

Where

$B = 9\sqrt 3$ and $h = \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9 * 27$

$V = 81$

6 0

3 years ago

Read 2 more answers

Which of the following are operations in the algebra of sets?

postnew [5]

Answer:

Union and Intersection

Step-by-step explanation:

We know that the algebra of sets define the properties and laws of the sets.

The basic operations of sets are,

Union, Intersection, Complement of a set and Equality of sets.

Since, the operations addition, subtraction, multiplication and division are the basic arithmetic operations of numbers.

i.e. they are not in the algebra of sets.

So, we get that out of the given options, the operations in algebra of sets are Union and Intersection.

7 0

3 years ago