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g100num [7]
2 years ago
6

Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 3.2 × 105

words.
Samuel can type 3.2 × 105 words in
hours and
minutes.
Mathematics
1 answer:
Oliga [24]2 years ago
3 0

The hours it would take to type 3.2 x 10^5 words is 1.33 x 10^2  hours.

<h3>How many hours would it take to type 3.2 x 10^5 words?</h3>

Standard form is used in expressing large numbers in smaller numbers. It is used to transform large numbers into smaller number.

In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example: 1 x 10² is equivalent to 100

The first step is to determine how many words he can type in 1 hour : 40 x 60 = 2400 words = 2.4 x 10³

The second step is to divide 3.2 x 10^5 words by 2.4 x 10³

3.2 x 10^5 ÷ 2.4 x 10³ = 1.33 x 10^(5 - 3)

1.33 x 10^2  hours

To learn more about standard form, please check: brainly.com/question/25334755

#SPJ1

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Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.
Ostrovityanka [42]

Answer:

(a) and (f)

Step-by-step explanation:

Given

y = 5x + 12

See attachment for table and options

First, we calculate the slope of the table

m = \frac{y_2 - y_1}{x_2 - x_1}

Using:

(x_1,y_1) = (2,29)

(x_1,y_1) = (4,53)\\

So, we have:

m = \frac{53- 29}{4 - 2}

m = \frac{24}{2}

m = 12

The equation is then calculated using:

y = m(x -x_1) + y_1

This gives:

y = 12*(x -2) + 29

y = 12x -24 + 29

y = 12x+5

So, we have:

y = 5x + 12 --- The given equation

and

y = 12x+5 --- The equation of the table

An equation is represented as:

y = mx + b

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m = slope or rate of change

b = y intercept

So, for the given equation: y = 5x + 12

Rate of change = 5

y intercept = 12

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Rate of change = 12

y intercept = 5

In conclusion:

(a) y = 12x+5 has the greater rate of change:

and

(f) y = 5x + 12 has the greater y intercept

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