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3 years ago

Expression that is equivalent to 5^6

Mathematics

2 answers:

Marta_Voda [28]3 years ago

8 0

Answer:

5^6 = 5*5*5*5*5*5 = 15625

Step-by-step explanation:

definition of exponents

cluponka [151]3 years ago

6 0

Answer:

5 to the 6th power is 5*5*5*5*5*5

Step-by-step explanation:

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What is the eighth term of the geometric sequence 6, 18, 54

Rainbow [258]

Answer:

= 4374.

Step-by-step explanation:

it is important to understand the pattern hidden in such problem.Let’s give it a try 2, 6, 18, 54 and so on.It can be written as 2, 3*2, 9*2, 27*2 and so on.

This can be further written as2 (1, 3, 9, 27, and so on) as 2 is common in every term.Now if you see the chain 1,3,9, 27 and so….you will see a pattern hidden i.e. 3=1*3 ,9=1*3*3, 27=1*3*3*3 now 27 is the 4th term consist of three 3. So 8th term would consist of seven 3. 8th would be 8th term = 1*3*3*3*3*3*3*3 = 2187 Hence the 8th term for the series 2,6,18,54 would be= 2*2187 = 4374.

4 0

3 years ago

The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the fi

Thepotemich [5.8K]

Answer:

second term: 9

4th term:81

$(3rd \: term)^{2} = 9 \times 81$

=729

$\sqrt{729} = 27$

3rd term=27

${9}^{2} = a1x27 \\ 81 = 27a1$

a1=3 the first term

$81 = 3 \times {q}^{3}$

${q}^{3} = 27$

q=3

$s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5$

5 0

3 years ago

You purchase a cell phone for $125. the value of the cell phone decreases by about 20% annually. write a function at models the

djverab [1.8K]

F(x)=125-(125*0.2x)
to find the value of the phone after 3 years, you put x=3.
f(3)=125-(125*0.2(3))
f(3)=50

5 0

3 years ago

WILL GIVE BRAINLIEST!

Leto [7]

Answer:

I'm not sure how to answer this.

Step-by-step explanation:

Is this the full question? The context seems to be missing something. Who are Ben and Scott and who are the other 2 candidates?

Maybe post another question and rephrase it.

5 0

3 years ago

Read 2 more answers

The function of f(x) = 3x + 2 has a domain of -3 < x < 5. What is the domain of f-1(x)?

Flura [38]

<h3>Answer: -7 < x < 17</h3>

====================================================

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse $f^{-1}(x)$

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

-----------------------

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

6 0

3 years ago