All categories

4 years ago

Name an irrational number between the rational numbers 9 and 10.

Mathematics

1 answer:

exis [7]4 years ago

8 0

Answer:

square root of 96

Step-by-step explanation:

9.1 would be a rational number or 9.7 or 9.04 or any number between 9 and 10 that can also be written as a fraction. √82 or √96 would be an irrational number that is between 9 and 10 or any square root larger than 81 since the √81 is 9 and below √100 since the √100= 10.

You might be interested in

1)A new iPad costs $229 and is on sale for 7% off. How much is deducted from the original price? 2)A sweatshirt regularly sells

Novosadov [1.4K]

The first one is 212.97 You would do (229 x 7)/100=16.03 So because you got 16.03 you would do 229 - 16.03 = 212.97 The second one is 40.08 And you would do the samething here. But instead of 7 you would do 15 (48.00 x 15)/100 =7.2. So you would do 48.00 - 7.2 = 40.08 So the second one is 40.08 And The first one is 212.97

7 0

4 years ago

Solve using elimination 12s+7l=332 9s+14l=424 Will mark as brainlist

Helga [31]

3s +7l=121 :) have a nice day g :)

4 0

3 years ago

Help me please, I’m still struggling with y intercepts, rates of change, etc.

BaLLatris [955]

Answer:

(a) The y-intercepts of both functions are the same, 0. However, the rate of change for the school library is 0.25, while the rate of change for the city library is 0.35.

(b) The 3-day late fee at the school library is $0.75 and the 3-day late fee at the city library is $1.05.

Step-by-step explanation:

The functions represented in the question are linear, which means that they have a consistent rate of change over time. In this example, it means that for every day, the late fee charged by each library is the same. At the school library, the rate of change is 0.25, which means for each day the book is late, the school charges a fee of $0.25. At the city library, the table shows that for each day the book is late, the city charges a fee of $0.35. So, the city library is more expensive. Y-intercept refers to the initial cost, or how much do the libraries charge if the book is not late, or turned in on time. In this case, neither library charges a fee for books turned in on time, so both would have a y-intercept of 0.

5 0

4 years ago

Find the SUm of the infinite series.

givi [52]

I'll do problem 13 to get you started.

The expression $4\left(\frac{2^n}{7^n}\right)$ is the same as $4\left(\frac{2}{7}\right)^n$

Then we can do a bit of algebra like so to change that n into n-1

$4\left(\frac{2}{7}\right)^n\\\\4\left(\frac{2}{7}\right)^n*1\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{0}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1-1}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1}*\left(\frac{2}{7}\right)^{-1}\\\\4*\left(\frac{2}{7}\right)^{1}\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{-1}\\\\\frac{8}{7}\left(\frac{2}{7}\right)^{n-1}\\\\$

This is so we can get the expression in a(r)^(n-1) form

a = 8/7 is the first term of the geometric sequence
r = 2/7 is the common ratio

Note that -1 < 2/7 < 1, which satisfies the condition that -1 < r < 1. This means the infinite sum converges to some single finite value (rather than diverge to positive or negative infinity).

We'll plug those a and r values into the infinite geometric sum formula below

S = a/(1-r)

S = (8/7)/(1 - 2/7)

S = (8/7)/(5/7)

S = (8/7)*(7/5)

S = 8/5

S = 1.6

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

Answer in fraction form = 8/5

Answer in decimal form = 1.6

7 0

3 years ago

Which list shows fraction that ALWAYS result in a terminating decimal for values of n > 0? A) 1/11, 1/121, 1/1331 . . . , 1/1

Alla [95]

Answer:

B) 1/10, 1/100, 1/1000 . . . , 1/10n

Step-by-step explanation:

Comparing all the options given:

A) 1/11, 1/121, 1/1331 . . . , 1/11n

Finding the decimal of the first term,

1/11 = 0.0909090 (never ending decimal place)

B) 1/10, 1/100, 1/1000 . . . , 1/10n

Finding the decimal of the first term,

1/10 = 0.01 (ended decimal place)

C) 1/6, 1/36, 1/126 . . . , 1/6n

Finding the decimal of the first term,

1/6 = 0.16666667 (never ending decimal place)

D) 1/3, 1/9, 1/27 . . . , 1/3n

Finding the decimal of the first term,

1/3 = 0.33333333 (never ending decimal place)

7 0

3 years ago

Read 2 more answers