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3 years ago

Which graph represents the function f(x)=-(1/3)^-x

Mathematics

1 answer:

elixir [45]3 years ago

5 0

$f(x)=-\left(\dfrac{1}{3}\right)^{-x}=-\Bigg[\left(\dfrac{1}{3}\right)^{-1}\Bigg]^x=-(3)^x\\\\f(x)1.\ \text{Therefore}\ 3^x\ \text{is increased}.\\\\\text{We have}\ -3^x,\ \text{therefore the graph is decreased}.$

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A set of integers each is greater than 40 and less than 46. List the members.

Alika [10]

Answer:

{41 , 42 , 43 , 44 , 45}

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3 years ago

A room is 30m long , 24m broad and 18m high. Find (a) Length of the longest rod that can be placed in the room. (b) Its tolal su

melomori [17]

Answer:

Part a) The length of the longest rod that can be placed in the room is 42.43 m

Part b) The total surface area is $SA=3,384\ m^2$

Part c) The volume is equal to $V=12,960\ m^3$

Step-by-step explanation:

Part a) Find the length of the longest rod that can be placed in the room

The room is in the shape of a rectangular prism, so the longest rod that can be placed in the room is equal to the diagonal of the rectangular prism

Let

d -----> diagonal of the base of the room

D ----> diagonal of the rectangular prism

step 1

Find the diagonal of the base

Applying the Pythagoras Theorem

$d^{2}=30^{2}+24^{2}$

$d^{2}=1,476$

$d=\sqrt{1,476}\ m$

step 2

Find the diagonal of the rectangular prism

The legs of the diagonal of the rectangular prism are the diagonal of the base and the height of the room

Applying the Pythagoras Theorem

$D^{2}=(\sqrt{1,476})^{2}+18^{2}$

$D^{2}=1,476+324$

$D^{2}=1,800$

$D=42.43}\ m$

Part b) Find the total surface area

we know that

The total surface area of the room is equal to

$SA=2B+PH$

where

B is the area of the base of the room

P is the perimeter of the base of the room

H is the height of the room

$SA=2[(30)(24)]+2[30+24](18)$

$SA=1,440+1,944$

$SA=3,384\ m^2$

Part c) Find the volume

we know that

The volume of the room is equal to

$V=BH$

where

B is the area of the base of the room

H is the height of the room

$V=[(30)(24)](18)$

$V=12,960\ m^3$

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3 years ago

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329 sweets
16 full bags

Explanation:
7bags x 47sweets per bag = 329sweets
329sweets / 20sweets = 16 FULL bags

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1 year ago

Two more than 5 times a number is 77

gavmur [86]

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3 years ago

Read 2 more answers

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slava [35]

Answer:

0.125 inches per hour

Step-by-step explanation:

2.25/18 = 0.125

0.125in per hour

5 0

3 years ago