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Svet_ta [14]
3 years ago
6

3/4 of a mile in 2/3 of an hour, what is the unit rate?

Mathematics
1 answer:
il63 [147K]3 years ago
8 0

Answer

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

3 miles ÷ 2

2 hours ÷ 2

=  

1.5 miles

1 hour

=  

1.5 miles

hour

= 1.5 miles per hour

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2 years ago
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tia_tia [17]

Answer:

8-6i

Step-by-step explanation:

Multiply out (3-i)^2 in order to find out which expression it is equivalent to.

1) Since the whole quantity is squared, write it out as (3-i)(3-i).

(3-i)^2\\(3-i)(3-i)

2) Multiply binomials by using the FOIL method. Multiply the terms that are listed first in each binomial, then the ones that are listed outermost when looking at both binomials, then innermost, and finally the last terms listed in each binomial. Simplify and combine like terms.

(3-i)(3-i)\\9 - 3i - 3i + i^2

9 - 6i + i^2

3)  i = \sqrt{-1}, so i ^2 must be (\sqrt{-1} )(\sqrt{-1}). Thus, i^2 is equivalent to -1. Knowing this, simplify and combine like terms.

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6 0
3 years ago
PLS BELP IM JUST CONFUSED
Ganezh [65]

Answer:

(0, 3)

Step-by-step explanation:

The y-intercept of any function can generally be defined as: (0, f(0)), since the y-intercept is when the function crosses the y-axis.

Anywhere on the y-axis, the x-value = 0, so the x value of the y-intercept will always be 0, and the y value is f(0), since x=0.

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5,789

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I got 5,789 because there are 9 one digit numbers. 1-9 -> 9x1=9. There are 90 two digit numbers. (10-99)-> 90x2=180. There are 900 three digit numbers. (100-999)-> 900x3=2700. There are 725 four digit numbers. (1000-1724)-> 724x4= 2900. Then, I added 9+180+2700+2900=5789.

In conclusion, the total number of digits required in numbering a book that has 1724 pages is 5789.

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