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Rzqust [24]
1 year ago
6

MATHEMATICS Evaluate (0.110 two)³ expressing your answer in base ten.

Mathematics
1 answer:
zysi [14]1 year ago
4 0

Evaluating (0.110 two)³ in base ten is  (343/512) ten

The question has to do with number base

<h3>What is number base?</h3>

A number base is a system of numbering used to represent numbers.

<h3>How to evaluate  (0.110 two)³ in base ten.</h3>

Since we have  (0.110 two)³,we desire to convert  0.110 two to base ten.

So, converting 0.110 two to base ten, following the procedure, we have that

0.110 two = 0 × 2⁰ + 1 × 2⁻¹ + 1 × 2⁻² + 1 × 2⁻³

= 0 × 2⁰ + 1 × 1/2¹ + 1 × 1/2² + 1 × 1/2³

= 0 × 1 + 1 × 1/2 + 1 × 1/4 + 1 × 1/8

= 0 + 1/2 +1/4 + 1/8

= (4 + 2 + 1)/8

= 7/8

So, thus 0.110 two = (7/8) ten

Thus we see that (0.110 two)³ = (7/8)³ ten

= (343/512) ten

So, expressing (0.110 two)³ in base ten is  (343/512) ten

Learn more about number base here:

brainly.com/question/27072175

#SPJ1

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5/4+x=3/4 how do I figure this out
Andreyy89

You could subtract 5/4 from each side of the equation.
Then it would say
                                 x = -2/4 .

That's a perfectly true solution, but not a very attractive one.
To pretty it up, you could simplify the fraction if you felt like it,
and you would have
                                   x = -1/2 .

4 0
3 years ago
Solve the system by elimination. <br> -2x+2y+3z=0<br> -2x-y+z=-3<br> 2x+3y+3z=5
KengaRu [80]
-2x + 2y +  3z = 0 → 2x - 2y -   3z = 0 → 2x - 2y - 3z = 0
-2x -   1y +  1z = -3 → 2x + 1y -    1z = 3 → 2x + 1y -  1z = 3
2x +   3y + 3z = 5 →  2x + 3y + 3z = 5            -3y - 2z = -3

-2x + 2y +  3z = 0 → 2x - 2y -   3z = 0
-2x -   1y +  1z = -3 → 2x + 1y -    1z = 3 → 2x + 1y -   1z = 3
2x +   3y + 3z = 5 →  2x + 3y + 3z = 5 → 2x + 3y + 3z = 5
                                                                           -2y - 4z = -2

-3y - 2z = -3 → -6y - 4z = -6
-2y - 4z = -2 → -2y - 4z = -2
                                 -4y = -4
                                  -4     -4
                                     y = 1

  -3y - 2z = -3
-3(1) - 2z = -3
   -3 - 2z = -3
 + 3          + 3
         -2z = 0
          -2    -2
            z = 0

    -2x + 2y + 3z = 0
-2x + 2(1) + 3(0) = 0
       -2x + 2 + 0 = 0
             -2x + 2 = 0
                    - 2  - 2
                    -2x = -2
                     -2     -2
                       x = 1
              (x, y, z) = (1, 1, 0)
8 0
2 years ago
at a track meet the longest shot put throw by a boy is 25 feet 8 inches the longest shot put by girls 19 feet 3 inches how many
Vesna [10]
Boy record = 25 feet 8 inches
Girl record = 19 feet 19 inches
Boy record / Girl record = 25 feet 8 inches / 19 feet 19 inches
Change the feet into inches
1 feet = 12 inches
25 feet = 25* 12 = 300 inches + 8 inches = 308 inches

19 feet = 19 * 12= 228 inches + 19 inches = 247 inches
Boy record / Girl record = 308 inches / 247 inches
Boy record / Girl record = 1.246 inches
Boy record = 1.246 Girl record
So
it is 1.246 times greater than girls record.
3 0
3 years ago
102 hours is 90% of what ?
Leokris [45]
Its 90% of 4 days I think.
Hope I helped C:
6 0
3 years ago
Wen takes a job with a starting salary of $100,000 for the first year. she earns a 3% increase each year. what does s5 represent
steposvetlana [31]
S_{n} = \frac{ a_{1}(1- r^{n})  }{1-r} a_{1} = 100000, r=1.03, n=5
S_{5} = \frac{100000(1- 1.03^{5}) }{1-1.03} = \frac{100000(-.159)}{-.03} =530,000

So after 5 years she is making $530,000.

Hope that helps
8 0
3 years ago
Read 2 more answers
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