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zepelin [54]
4 years ago
5

Find the domain & range of the following function: y = 2(3^x-1)

Mathematics
1 answer:
Paraphin [41]4 years ago
6 0
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HELP!!
Sonja [21]

B) The side opposite the 60° angle is longer than the side opposite the 30° angle

3 0
3 years ago
Kareem wrote the values shown below.
grandymaker [24]

Answer:

Option D is correct.

\lfloor 4.8 \rfloor  and \lceil 3.2 \rceil

Step-by-step explanation:

Floor function states that the greatest integer that is less than or equal to x.

It is represented by: \lfloor x \rfloor

Ceiling function states that the least integer that is greater than or equal to x.

It is represented by: \lceil x \rceil

As per the statement:-

Kareem wrote the values show below:

\lceil 3.2 \rceil,  \lfloor 2.7 \rfloor,  \lceil 2.9 \rceil and \lfloor 4.8 \rfloor.

by definition:

\lceil 3.2 \rceil = 4

\lfloor 2.7 \rfloor = 2

\lceil 2.9 \rceil=3

\lfloor 4.8 \rfloor = 4

From the given options only pair which is equivalent is:

\lfloor 4.8 \rfloor  and \lceil 3.2 \rceil

7 0
3 years ago
Given y= 1/3x+5, find y when x = -3
Zina [86]
Answer: y = 4

explanation:
y = 1/3(-3) + 5
y = (-3)/3 + 5
y = -1 + 5
y = 4
8 0
3 years ago
What is a number that when you divide it by 4 and subtract 3 from the quotient, you get 13?
inysia [295]

64

//

64 \div 4 = 16

16 - 3 = 13

8 0
3 years ago
Read 2 more answers
A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to t
evablogger [386]

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

 where r = radius of the container   and   h is the height of the container

r = 3cm  and h = 12 cm    π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

                                  =3.14 × 3²×12

                                   =3.14×9×12

                                    =339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water =  πr²h

r is the radius of the container   and    h is the height of the water

r = 3cm    and   h = 7cm      

volume of water =  πr²h

                             = 3.14 ×3²×7

                              =3.14×9×7

                              =197.82 cm³

volume of empty space = volume of the cylinder - volume of water

                                          =339.12 cm³    -    197.82 cm³

                                          = 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

                                       = 12 - 7

                                        =5 cm

volume of empty space = πr²h

                                        =3.14×3²×5

                                        =3.14×9×5

                                         =141.3 cm³

volume of empty space = 141.3 cm³

4 0
3 years ago
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