Ask question

Ask question

All categories

3 years ago

5

For any positive number b not equal to 1 and any number or variable n, evaluate the following expression. log.(b") = O A. no O B

. n O c. b Б OD. "

2 answers:

Anna007 [38]3 years ago

7 0

Answer:

a

Step-by-step explanation:

zloy xaker [14]3 years ago

3 0

Answer:

a

Step-by-step explanation:

You might be interested in

Write an explicit formula for the An, and the n^th term of the sequence 24,-12,6,....

Annette [7]

Answer:

$T_n = -48* (-\frac{1}{2})^{n}$

Step-by-step explanation:

Given

$24, -12, 6,...$

Required

Write a formula

The above sequence shows a geometric sequence because:

$r = \frac{-12}{24} = \frac{6}{-12} = -\frac{1}{2}$ -- common ratio

The equation is determined using:

$T_n = ar^{n-1}$

Where

$a = 24$

Substitute values for a and r

$T_n = 24* (-\frac{1}{2})^{n-1}$

Apply law of indices:

$T_n = 24* (-\frac{1}{2})^{n} * (-\frac{1}{2})^{-1}$

$T_n = 24* (-\frac{1}{2})^{n} * 1/(-\frac{1}{2})$

$T_n = 24* (-\frac{1}{2})^{n} * 1*-2$

$T_n = 1*-2*24* (-\frac{1}{2})^{n}$

$T_n = -48* (-\frac{1}{2})^{n}$

<em>The above represents the explicit formula</em>

7 0

3 years ago

As Jackson built a square fence around his garden, he wondered how much he would have to pay if he increased the length of each

Rom4ik [11]

A good function for this situation would be

c = 4(3m)

C is the cost of it all, m is the number of meters. The 3 is how many dollars it costs for each individual meter, and the 4 is how the length would need to be applied to all four sides of the fence. Hope this helped!

4 0

4 years ago

Need help ASAP !!!<br><br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2563%20%5Ctimes%202563%7D%20" id="TexFormula1" titl

Vesnalui [34]

Answer:

your answer will be -,+2563

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Iodine-125 has a half-life of about 60 days.

Murljashka [212]

62.5 mg sample will remain after 240 days

Step-by-step explanation:

Given

Half-life = T = 60 days

The formula for calculating the quantity after n half lives is given by:

$N = N_0(\frac{1}{2})^n$

Here

N is the final amount

N_0 is the initial amount

n is the number of half lives passed

The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life

The quantity has to be calculated for 240 days so,

$n = \frac{240}{60}\\n = 4$

Given

$N_0 = 1000\ mg$

Putting the values in the formula

$N = 1000 (\frac{1}{2})^4\\=1000 * \frac{1}{16}\\=\frac{1000}{16}\\=62.5\ mg$

Hence,

62.5 mg sample will remain after 240 days

Keywords: Half-life, sample

Learn more about half-life at:

#LearnwithBrainly

3 0

3 years ago

What is the length of the vertical drop?

Sidana [21]

Let the value of the vertical drop be x
cos20°=x/11
x=0.9*11
x=9.9
Thus, the length of the vertical drop is 9.9 feet

5 0

3 years ago