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julsineya [31]
3 years ago
14

Find the domain of the relation find the range of the relation is the relation a function?

Mathematics
1 answer:
iren2701 [21]3 years ago
6 0

Answer:

Domain: (-∞ , ∞)      

Range: [4 , -∞)

yes, it's a function. It pass the vertical line test. (one input vs one output)

Step-by-step explanation:

Domain: (-∞ , ∞)      

Range: [4 , -∞)

yes, it's a function. It pass the vertical line test. (one input vs one output)

You might be interested in
while swimming in the pool, you attempt to swim the whole length of the pool without getting a breath. you are able to do it 3 o
Luba_88 [7]

Answer:

30 out of 50 times.

Step-by-step explanation:

1 attempt represents 3 out of 5 times.

10 attempts equals 1 attempt x 10.

Multiply numbers 3 and 5 by 10.

3 x 10 = 30

5 x 10 = 50.

Therefore, your solution is 30 / 50 times.

6 0
3 years ago
Angle of the Sun A 96-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun
scoray [572]

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

                                                   |

                                                   | 96ft

                                                   |

                                                   |

       θ------------------------------------

                    120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

4 0
2 years ago
Solve for x. Show each step of the solution. 4.5(4 − x ) + 36 = 202 − 2.5(3x + 28)
ella [17]

Answer:

dherherth

Step-by-step explanation:


3 0
3 years ago
Hannah took p minuets to jog around a park. Sofia took 12 minuets longer to jog around the park. If sofia took t minutes to jog
Sladkaya [172]

Answer:

t = p + 12

Independent variable: p

Dependent variable: t

Step-by-step explanation:

7 0
2 years ago
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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