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3 years ago

a stack of quarters is 5 mm. how many quarters are in a stack that is 5 cm tall? show the steps you took and explain your answer

1 answer:

8 0

Well, scence you don't know how many quarters are in a stack of 5mm, ill give a variable answer...there's 10x as many quarters in the stack of cm than the stack of millimeters, because 5mm=1/2 cm, and 5/.5=10

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Find the explicit formula for the sequence? -1,4,-16,64......

Ede4ka [16]

The explicit formula for given sequence is: $a_n = -1 . (-4)^{n-1}$

Step-by-step explanation:

Given sequence is:

-1,4,-16,64.....

We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.

Here

$a_1 = -1\\a_2 = 4\\a_3 = -16\\a_4 = 64\\r = \frac{a_2}{a_1} = \frac{4}{-1} = -4\\r = \frac{a_3}{a_2} = \frac{-16}{4} = -4$

The explicit formula for geometric sequence is:

$a_n = a_1r^{n-1}$

Putting the values of r and a1

$a_n = -1 . (-4)^{n-1}$

Hence

The explicit formula for given sequence is: $a_n = -1 . (-4)^{n-1}$

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

#learnwithBrainly

5 0

3 years ago

Question 1<br> 2 (4x - 1) + 6<br> Equivalent to what

WARRIOR [948]

Answer:

2 (4x - 1) + 6 = 8x + 4 = 4(2x+1)

Step-by-step explanation:

2 (4x - 1) + 6

= (2*4x + 2*-1) + 6

= 8x - 2 + 6

= 8x + 4

= 4/(2x+1)

8 0

2 years ago

Read 2 more answers

Given the graph of f'(x) shown below, find the intervals on which the function f(x) is increasing.

AURORKA [14]

Answer:

intervals (-3,-1) and (0,+infinity)

Step-by-step explanation:

if f'(x)>0 then f is increasing

3 0

2 years ago

Help will give crown do NOT get this

snow_tiger [21]

2x+7/9=5/6 I think it the answer

5 0

2 years ago

Read 2 more answers

Can anyone solve this . Please tell the method as well

Zolol [24]

2^7b = 2^5

Now you have like bases. This means that you can set the exponents equal , meaning 7b= 5. B =5\7

5 0

2 years ago