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sweet-ann [11.9K]
3 years ago
12

Show work for this scientific notation

Mathematics
1 answer:
Viktor [21]3 years ago
7 0

\frac{5.1*10^{-2}}{4.57*10^{-4}} \\=\frac{5.1*10^{2}}{4.57} \\=\frac{5.1}{4.57}*10^{2}\\=1.1*10^{2}

The answer is rounded to the nearest tenth.

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In London, the charge of a tour bus consists of a fixed rental price plus a per kilometre rate, that depends on the distance of
ella [17]

Using a linear function, we have that:

a) The fixed cost is of $10.

b) The equation is: C = 10 + 12d.

c) The cost of an 18 km trip is $226.

d) The distance traveled is of 20 km.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:

C(d) = 12d + b

70 = 60 + b

b = 10.

Hence the equation is:

C(d) = 12d + 10.

For a trip of 18 km, d = 18, hence the cost is:

C(12) = 12 x 18 + 10 = $226.

When the cost is of $250, the distance is found as follows:

250 = 12d + 10

12d = 240

d = 240/12

d = 20 km.

More can be learned about linear functions at brainly.com/question/24808124

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1 year ago
An oil well produces 159 gallons of oil every day. A standard oil barrel holds 42
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Step-by-step explanation:

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The measure of angle 6 is 98°. What is the measure of angle 7?
otez555 [7]
Dude, it's impossible to solve without the pic
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Answer:

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Step-by-step explanation:

Given

N = -2F --- North Dakota

C = 1F --- Cheyenne, Wyoming

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From the given temperatures, we can conclude that:

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or

-2 < 1 i.e. -2 is less than 1

Solving (b): Inequality to compare the absolute values of the temperatures

We have:

N = -2F

C = 1F

The absolute values are:

|N| = |-2|

|N| =2

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|N| > |C| or |C| < |N|

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or

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2 years ago
27n⁵+75n³ (Factor completely)
dimaraw [331]

Answer:

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