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Alexxx [7]
3 years ago
8

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

Mathematics
1 answer:
enyata [817]3 years ago
8 0

Answer:

<em>f</em>⁻¹(x) = - ln <em>x</em>\ln 3

Step-by-step explanation:

To find the inverse, interchange the variables and solve for <em>y</em>.

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

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Ari thinks the perfect milkshake has 3 ounces of caramel for every 5
tangare [24]

Answer:

A - They Have Too Much Caramel

Step-by-step explanation:

Ari likes 3 oz caramel for 5 scoops ice cream.

Freeze Zone makes 6 oz caramel with 8 scoops of ice cream.

Divide both amounts of Freeze Zone by 2.

6 oz caramel for 8 scoops of ice cream is the same ratio as

3 oz caramel for 4 scoops of ice cream.

Since Ari likes 3 oz caramel for 5 scoops ice cream,

he will think it's too much caramel for the ice cream.

Answer: A - They Have Too Much Caramel

8 0
3 years ago
Face east, turn through an angle of 180 degree to your right, your final direction will be _________________. 
ANEK [815]

Answer:

West

10 cm

The first one

6 0
3 years ago
If seven is added to four times a number, the result is twenty-five more than the number. Round your answer to the nearest integ
posledela

Answer:

6

Step-by-step explanation:

first, set up the equation

4x+7 = x+25

solve for x:

4x = x + 18

3x = 18

x = 6

have a wonderful day! :)

7 0
3 years ago
5. If position of object x = 3 sinΘ – 7 cosΘ then motion of object is bounded between position.​
lesya692 [45]

9514 1404 393

Answer:

  ±√58 ≈ ±7.616

Step-by-step explanation:

The linear combination of sine and cosine functions will have an amplitude that is the root of the sum of the squares of the individual amplitudes.

  |x| = √(3² +7²) = √58

The motion is bounded between positions ±√58.

_____

Here's a way to get to the relation used above.

The sine of the sum of angles is given by ...

  sin(θ+c) = sin(θ)cos(c) +cos(θ)sin(c)

If this is multiplied by some amplitude A, then we have ...

  A·sin(θ+c) = A·sin(θ)cos(c) +A·cos(θ)sin(c)

Comparing this to the given expression, we find ...

  A·cos(c) = 3   and   A·sin(c) = -7

We know that sin²+cos² = 1, so the sum of the squares of these values is ...

  (A·cos(c))² +(A·sin(c))² = A²(cos(c)² +sin(c)²) = A²(1) = A²

That is, A² = (3)² +(-7)² = 9+49 = 58. This tells us the position function can be written as ...

  x = A·sin(θ +c) . . . . for some angle c

  x = (√58)sin(θ +c)

This has the bounds ±√58.

3 0
3 years ago
Find the length of y
Nostrana [21]

Answer:

<em>25 cm</em>

Step-by-step explanation:

3 0
3 years ago
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