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3 years ago

What is the inverse of the function below? f(x)=(1/3)^x

Mathematics

1 answer:

enyata [817]3 years ago

8 0

Answer:

f⁻¹(x) = - ln x\ln 3

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

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A robot moving forward at a constant speed takes 2.5 hours to travel 1 kilometer. Moving forward at this same constant speed, it

makvit [3.9K]

Answer:

The length of the hallway is 10 m.

Step-by-step explanation:

Given:

Time taken to cover 1 km = 2.5 hours

Distance covered in 2.5 hours = 1 km

Therefore, speed of robot = $\frac{\textrm{Distance}}{\textrm{TIme}}=\frac{1}{2.5}=0.4\ km/h$

Now, speed is constant.

Now, time taken to cover the length of hallway = 90 s

Speed of the robot = 0.4 km/h

Converting 0.4 km/h to m/s, we multiply by the factor $\frac{5}{18}$ . This gives,

$0.4\times \frac{5}{18}=\frac{1}{9}\ m/s$

Now, distance of the hallway is equal to the product of speed and time. So,

Distance of hallway = Speed $\times$ Time

Distance of hallway = $\frac{1}{9}\times 90=\frac{90}{9}=10\ m$

Therefore, the length of the hallway is 10 m.

5 0

3 years ago

Solve 4x - 5 = 19. O A. x = 8 O B. x = 10 C. x = 6 O D. x = 3.5

Basile [38]

Answer:

C x=6

Step-by-step explanation:

4x-5=19

+5 on both sides

4x=24

divide both sides by 4

x=6

6 0

2 years ago

PLEASE HELP ME PLEASE

Alika [10]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the x in 120(2x-2)=240

coldgirl [10]

Answer:

X=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

120(2x−2)=240

(120)(2x)+(120)(−2)=240(Distribute)

240x+−240=240

240x−240=240

Step 2: Add 240 to both sides.

240x−240+240=240+240

240x=480

Step 3: Divide both sides by 240.

240x /240 = 480 /240

x=2

7 0

3 years ago

A coffee shop recently sold 12 drinks, including 5 Americanos. Considering this data, how many of the next 96 drinks sold would

Oksana_A [137]

40 America-nos

Explanation:

5 America-nos : 12 drinks

5 : 12

make proportional equation

5/12 = A/96

A = 40

3 0

2 years ago

Read 2 more answers