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MAXImum [283]
3 years ago
5

Which numbers are​ rational? The​ dots, . . . ​, indicate that the pattern continues. I. 9.9999999 . . . II. 9.234 III. 9.909909

99 . . . Which numbers are​ rational?
Mathematics
2 answers:
tia_tia [17]3 years ago
3 0
9.234, because it ends.
kakasveta [241]3 years ago
3 0
II. 9.234 it ends rather than continuous numbers
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The third term of the sequence is 120. The fifth term is 76.8 The explicit rule for the geometric sequence is an=?(?)n-1
gulaghasi [49]

Answer:

The explicit rule of the geometric sequence

 aₙ   = 187.5 (0.8)ⁿ⁻¹

Step-by-step explanation:

<u><em> Step(i):-</em></u>

Given that the third term of the sequence = 120

        tₙ = a rⁿ⁻¹  

       t₃  = a r³⁻¹ = ar²

        120 = ar² ..(i)

Given that the fifth term of the given geometric sequence = 76.8

        tₙ = a rⁿ⁻¹  

       t₅  = a r⁵⁻¹ = a r⁴

   76.8  = a r⁴...(ii)

<u><em>Step(ii):</em></u>-

 Dividing (ii) and (i)

         \frac{ar^{4} }{ar^{2} } = \frac{76.8}{120}

        r²   = 0.64

       r    =√ 0.64 = 0.8

Substitute r= 0.8 in equation (i)

         120 = ar²

       120 = a(0.8)²

⇒      a = \frac{120}{0.64} =187.5

<u><em>Step(iii):-</em></u>

The explicit rule of the geometric sequence

                 aₙ  = a rⁿ⁻¹

put a= 187.5  and r = 0.8

                aₙ   = 187.5 (0.8)ⁿ⁻¹

 

7 0
3 years ago
The cost of C (in dollars) of making n watches is represented by C=15n+85. How many watches are made when the cost is $385?
hichkok12 [17]

well...

15 x 20 = 300

300+85 = 385


you can get 20 watches for $385


4 0
3 years ago
Traveling at 45 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 240 miles from Orla
kirill [66]
Divide 240 by 45 you would get 5 and 1/3, multiply 5 and one third by 60 and it would result in 320.

D. 320 would be the correct answer.
4 0
3 years ago
Find the value of k<br> 4x+y=8<br> y=kx+2<br><br> options<br><br> -4<br> 4<br> -1/4<br> 1/4
nexus9112 [7]

Answer:

4 i think im not sure

Step-by-step explanation:

Subtract yy from both sides of the equation.

4x=8−y4x=8-y

y=kx+2y=kx+2

Divide each term by 44 and simplify.

Tap for more steps...

x=2−y4x=2-y4

y=kx+2

6 0
3 years ago
Rename the number to 120,000 ten thousand
Ray Of Light [21]
120,000 renamed to ten thousand (10,000) is twelve ten thousand. Ten thousand in number form is 10,000.  When you divide 120,000 (one hundred and twenty thousand)  by 10,000 (ten thousand) you get 12.  120,000 (one hundred and twenty thousand)  /10,000 (ten thousand) = 12. So there are twelve ten thousands in 120,000.
4 0
3 years ago
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