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3 years ago

F(x) = log3(x + 4) Find f-1(2)

Mathematics

1 answer:

mezya [45]3 years ago

4 0

Answer:

The vertical asymptote of the log function is normally x=0. In this function, it is moved to the right 1 unit. That is accomplished by replacing the function argument x with (x-1). Only one answer choice matches:

f(x) = log3(x -1) +1

Step-by-step explanation:

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The local gasoline distributor just built a new storage tank. For safety reasons they need to enclose the tank within a circular

vlada-n [284]

Answer:

62.8 feet

Step-by-step explanation:

Radius of the fencing is:

6+4 = 10 feet

Circumference = 2×pi×r

= 2×pi×10

= 20pi

= 62.83185307 feet

3 0

3 years ago

Suppose you have a light bulb that emits 50 watts of visible light. (Note: This is not the case for a standard 50-watt light bul

natali 33 [55]

Answer:

0.049168726 light-years

Step-by-step explanation:

The apparent brightness of a star is

$\bf B=\displaystyle\frac{L}{4\pi d^2}$

where

<em>L = luminosity of the star (related to the Sun) </em>

<em>d = distance in ly (light-years) </em>

The luminosity of Alpha Centauri A is 1.519 and its distance is 4.37 ly.

Hence the apparent brightness of Alpha Centauri A is

$\bf B=\displaystyle\frac{1.519}{4\pi (4.37)^2}=0.006329728$

According to the inverse square law for light intensity

$\bf \displaystyle\frac{I_1}{I_2}=\displaystyle\frac{d_2^2}{d_1^2}$

where

$\bf I_1=$ light intensity at distance $\bf d_1$

$\bf I_2=$ light intensity at distance $\bf d_2$

Let $\bf d_2$ be the distance we would have to place the 50-watt bulb, then replacing in the formula

$\bf \displaystyle\frac{0.006329728}{50}=\displaystyle\frac{d_2^2}{(4.37)^2}\Rightarrow\\\\\Rightarrow d_2^2=\displaystyle\frac{0.006329728*(4.37)^2}{50}\Rightarrow d_2^2=0.002417564\Rightarrow\\\\\Rightarrow d_2=\sqrt{0.002417564}=\boxed{0.049168726\;ly}$

Remark: It is worth noticing that Alpha Centauri A, though is the nearest star to the Sun, is not visible to the naked eye.

7 0

3 years ago

Hey:) can you please help me posted picture of question

AnnZ [28]

Answer:
x⁴ + 6x² + 9

Explanation:
To answer this question, we will multiply each term from the first bracket by each term from the second bracket and then combine like terms to get the final expression.

This can be done as follows:
(x² + 3)(x² + 3)
x²(x²) + x²(3) + 3(x²) + 3(3)
x⁴ + 3x² + 3x² + 9
x⁴ + 6x² + 9

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Can you please help me if you want I would give you brain list thanks have a good day!:)

olya-2409 [2.1K]

Answer:

the answer should maybe be -5, -4,-3

Step-by-step explanation:

either its being buggy or it wants you to put the numbers in a different way

8 0

3 years ago

Read 2 more answers