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ankoles [38]
3 years ago
11

Which is the best estimate for the height of a drinking glass?

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0
15 cm, as 1 and 3 are too small, 75 is too big, and 15 is just average

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Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?
OlgaM077 [116]

Answer:

a_n = 16(\frac{1}{4})^{n - 1}

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = \frac{1}{16}

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = ar^{n - 1}, where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

\frac{1}{16} = a*\frac{1}{4}^{5 - 1}

\frac{1}{16} = a*\frac{1}{4}^{4}

\frac{1}{16} = a*\frac{1}{256}

\frac{1}{16} = \frac{a}{256}

Cross multiply

1*256 = a*16

Divide both sides by 16

\frac{256}{16} = \frac{16a}{16}

16 = a

a = 16

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = ar^{n - 1}

nth term = 16*\frac{1}{4}^{n - 1}

a_n = 16(\frac{1}{4})^{n - 1}

3 0
3 years ago
Answer each of the questions for the following diagram:
sweet [91]

Answer:

1.  Complimentary angles

2.  3x+20 = 10x-15: x = 5

3.  I'm not sure on part 3, sorry.



5 0
3 years ago
The employees of two companies were asked how many times they checked their email during weekends. The table below shows the num
tekilochka [14]
Q1 of company A = 2.5
Q3 of company A = 8
Interquatile range = (Q3 - Q1)/2 = (8 - 2.5)/2 = 5.5/2 = 2.75

Q1 of company B = 2
Q3 of company B = 5.5
Interquatile range = (5.5 - 2)/2 = 3.5/2 = 1.75

Therefore, t<span>he interquartile range for Company A employees is 2 more than the interquartile range for Company B employees.</span>
3 0
3 years ago
Read 2 more answers
Type of Ball football basketball baseball softball
crimeas [40]

Answer:

1.-  He received 388 dollars in exchange.

2.-(100 x 4) - (7.00 + 5.00)

= 400 - 12

= 488

3.-  I buy 15 basketballs.

And I buy 6 soccer balls.

4.-  (135 ÷ 9) (48 ÷ 8)

= 15, 6

Step-by-step explanation:

I hope I have helped you can you put that this is the smartest answer please?

5 0
3 years ago
=
nlexa [21]
The is c for this question
4 0
2 years ago
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