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miv72 [106K]
3 years ago
10

Write −2.32 as a mixed number in simplest form.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
7 0

Answer: -2 8/25

Step-by-step explanation:

-2.32 * 100/100

2.32*100/100

-232/200

Simplest form reduced by:

-58*4/25*4

-58/25

-2 8/25

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Does anyone know what the inverse function of f(x)=x/x-2 is?
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Answer:

-1 is the answer to that

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Given the formula, Sn=a 1-r^n/1-r, what is the sum of the first nine terms of the geometric series: 324, -108, 36, -12...
vlada-n [284]

Answer:

243.01.

Step-by-step explanation:

The first term (a) = 324.

The common ratio (r) = -108/324 = -1/3.

So sum of 9 terms is:

S(9) = 324 * (1 - (-1/3)^9) / ( 1 - (-1/3)

= 324 ( 1 - (-0.00005076)) / 4/3

= 324 * 1.00005076 / 1.33333

= 243.012.

3 0
2 years ago
8. There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.
PIT_PIT [208]

Answer:

a. 720

b. 0.3

Step-by-step explanation:

a.

Three balls are selected at random without replacement.

First ball can be selected in 10 ways

Second ball can be selected in 9 ways

Third ball can be selected in 8 ways

Thus, there are 10×9×8 =720 different ways of selecting three balls.

b.

There are three cases that satisfy this condition

  1. first ball picked is 5, the others are not
  2. first ball is not 5, second is 5, third is not
  3. first and second ball is not five, third ball is 5

Each probabilities are:

  1. \frac{1}{10} * \frac{9}{9} *\frac{8}{8} =\frac{1}{10}
  2. \frac{9}{10} *\frac{1}{9} *\frac{8}{8} =\frac{1}{10}
  3. \frac{9}{10} *\frac{8}{9} *\frac{1}{8} =\frac{1}{10}

Thus, one of the balls selected is the number 5 is then \frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}

5 0
3 years ago
If you pay a worker $30 an hour for 33 hours each week, what is the gross pay for the year?
Phoenix [80]

Answer:

$51,480

Step-by-step explanation:

30 x 33 x 52 = $51,480

6 0
3 years ago
Plz help me with this
Cloud [144]

\bold{\text{Answer:\qquad }b)\quad \bigg(\dfrac{1}{2},-2\bigg)}

<u>Step-by-step explanation:</u>

The vertex form of an absolute value equation is: f(x)=|x-h|+k where

(h, k) is the vertex. In the given equation, f(x)=\bigg|x-\dfrac{1}{2}\bigg|-2, the h-value is 1/2 and the k-value is -2.

So, the vertex (h, k) = (1/2, -2)

8 0
3 years ago
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