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3 years ago

What is the range of this function?

Mathematics

2 answers:

xeze [42]3 years ago

7 0

Answer:

Step-by-step explanation:

<h2>About domain and Range:</h2>

Let R be a relation from A to B. Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.

Hope this helps...

Good luck on your assignment..

melisa1 [442]3 years ago

3 0

The range will be the set of all the outputs.

So that's going to be {-8, -3, 5, 7}.

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tangare [24]

Answer:

394.9 cm

Step-by-step explanation:

The formula for a cone's surface area is A = π r ( r + √r^2 + h^2 ).

r = radius

h = height

The Pythagorean theorem, a^2 + b^2 = c^2, will be needed to find the height.

Plug in the values.

a(unknown)^2 + 6^2 = 15^2

A + 36 = 255

255 - 36 = 189

√189 ≈ 13.7

Surface area formula, plug in the values.

A = 3.14 × 6 ( 6 + √6^2 + 13.7^2 )

*PEMDAS*

A = 3.14 × 6 ( 6 + √36 + 187.69 )

A = 3.14 × 6 ( 6 + √223.69 )

A = 3.14 × 6 ( 6 + 14.95 )

A = 3.14 × 6 ( 20.96 )

A = 3.14 × 125.76

A = 394.8864

*round to nearest tenth*

A = 394.9 cm

Hope this helps! :)

8 0

3 years ago

The sets of ordered pairs below represent relations.

german

Sets II, III, and IV are all representations of functions.

5 0

3 years ago

A buoy is floating in the sea and can be seen from the top of a vertical cliff. A boat is travelling from the base

uranmaximum [27]

Answer:

169.23m

Step-by-step explanation:.

Let's calculate the base of the cliff. Using SOH CAH TOA identity

Height (opposite) = 142n

Angle of depression = 40°

Required

Base of the cliff

Tan theta = opposite/adjacent

Tan 40 = 142/x

x = 142/tan40

x = 142/0.8391

x = 169.23m

Hence the base of the cliff is 169.23m long

6 0

3 years ago

To allow for a models height,a designer is willing to use models that require him to change hems either up or down 2 inches.the

jenyasd209 [6]

(a)

Let's assume

the range of the lengths of the skirts is t inch

now, we are given

to change hems either up or down 2 inches

so, total change in length should be 2

so, we will have right side =2

the length of the skirts is 20 inch

this will be either greater or lesser to length of skirts

so, the difference between them will be t-20

so, we get

$|t-20|=2$

(b)

now, we can find range

firstly, we will break absolute sign

$|t-20|=-(t-20)$ for t<20

$|t-20|=(t-20)$ for t>20

because value of |t-20| must be positive

so, we get

$-(t-20)=2$

Multiply both sides by -1

$-(t-20)\times -1=2\times -1$

$(t-20)=-2$

Add both sides by 20

$(t-20)+20=-2+20$

$t=18$

$(t-20)=2$

Add both sides by 20

$(t-20)+20=2+20$

$t=22$

so, the range of the lengths of skirts is

18 in to 22 in..........Answer

(c)

Firstly, we will find difference in height of the model

5 feet 9 inches $=12\times 5+9=69in$

6 feet = $12\times 6=72in$

now, we can find difference in height

$=72-69=3in$

and we are given

difference in length of skirts =2 in

so, the difference in height is greater than the difference in length of skirts

so, the answer is NO

6 0

3 years ago

At a toy factory, toy cars are produced on an assembly line. It takes 8.216 seconds to attach the wheels. It takes 3.652 seconds

lana [24]

Answer:

the answer is 498.456

Step-by-step explanation: you do 8.216 + 3.652 it = 11.868 then you do 11.868 x 42 which = 498.456

8 0

3 years ago

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