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Llana [10]
3 years ago
14

5x100+4x10+6x1+2x(1/10)+8x(1/1000) write in standard form

Mathematics
1 answer:
ki77a [65]3 years ago
8 0

Answer:

The number is 546.208 in standard form.

Step-by-step explanation:

The standard form consist in the presentation of given number in decimal format. The proceeding is described as follows:

1) Each component of the sum is simplified.

2) Results are summed to get number in standard form.

That is,

Step 1

5 \times 100 = 500

4 \times 10 = 40

6 \times 1 = 6

2 \times \left(\frac{1}{10} \right) = 0.2

0 \times \left(\frac{1}{100}\right) = 0.00

8 \times \left(\frac{1}{1000} \right) = 0.008

Step 2

x = 500 + 40 + 6 + 0.2 + 0.00 + 0.008

x = 546.208

The number is 546.208 in standard form.

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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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3 years ago
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