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ira [324]
2 years ago
8

Monica is a professional musician who practices clarinet for the same amount of

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
8 0

Answer:

205 minutes

Step-by-step explanation:

If Monica has already practiced 18% of her time, we know that she has practiced \frac{18}{100}. If this 18% corresponds to 45 min, we can have the following equation: \frac{18}{100} = \frac{45}{x}. We can rearrange the equation to find the value of x by doing x = \frac{45 \cdot 100}{18} = 250, so she practices 250 min every Wednesday. If we subtract the time she has already practiced (45 min) we find out she still has to practice more 205 min.

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2 years ago
Write 7,380,000,000 in scientific notation.
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7.380 times 10 to the 9th power (or 7.38 times 10 to the 9th power)
5 0
3 years ago
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Determine whether the data described in the tables is best modeled by a linear function or an exponential function.
Leviafan [203]

Answer:

Electric car = Exponential function (decreasing cost)

Gasoline car = Exponential function (increasing cost)

Step-by-step explanation:

The given data the Electric car, we have;

Time (years)   {}     Cost (thousands of dollars)

0                           {}      35

5                           {}      27

10                           {}     21

15                           {}     16

20                           {}    12.5

The difference between successive term is such that each term decreases by approximately the same percentage given as follows

1st and 2nd term (35 - 27)/35 × 100 ≈ 22.8571% decrease

2nd and 3rd term (27 - 21)/27 × 100 ≈ 22.222% decrease

3rd and 4th term (21 - 16)/21 × 100 ≈ 23.81% decrease

4th and 5th term (16 - 12.5)/16 × 100 ≈ 21.875% decrease

Therefore. the electric car is best approximated by exponential function

The given data the Gasoline car, we have;

Time (years)   {}     Cost (thousands of dollars)

0                           {}      35

5                           {}      40.2

10                           {}    46.3

15                           {}    53.2

20                           {}    61.2

The difference between successive term is such that each term increases by approximately the same percentage given as follows

1st and 2nd term (40.2 - 35)/35 × 100 ≈ 14.857% decrease

2nd and 3rd term (46.3 - 40.2)/40.2 × 100 ≈ 15.174% decrease

3rd and 4th term (53.2 - 46.3)/46.3× 100 ≈ 14.9% decrease

4th and 5th term (61.2 - 53.2)/53.2× 100 ≈ 15.03% decrease

Therefore. the Gasoline car is best approximated by exponential function

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You are able to express numbers in like halves 
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Answer:

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y=\frac{x}{3}-2

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Also,'≥' shows the solid line,

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Hence, the shaded region of above inequality will contain the origin,

Therefore, by the above information we can plot the graph of the inequality ( shown below ).

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