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3 years ago

Ryan wants to borrow a DVD from Zac so Ryan walks 12 blocks west to Zac's house, picks up the DVD, and

Mathematics

2 answers:

Mama L [17]3 years ago

7 0

Answer:

0 blocks west

Step-by-step explanation:

If you end at the same place you started just like on a racetrack one full lap. Walking 12 blocks west then 12 blocks east back to the house displacement is 0 because you are back where you started from.

Zarrin [17]3 years ago

4 0

Answer:

12 blocks west

Step-by-step explanation:

Okay so he walked 12 blocks west to Zac's house and then walked another 12 blocks back this means that he had to walk 12 blocks west to get to Zac's house

P.S. Sorry if it is wrong

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Alexandra [31]

Answer:

Its H or J

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3 years ago

Evaluate the sum or explain why it diverges: Sigma^infinity_k = 3(-3/2)^k

LenaWriter [7]

Answer:

Step-by-step explanation:

Remember that in the geometric serie if | r | < 1 the serie converges and if | r | ≥1 the serie diverges.

I suppose that the serie starts at 0, so using the geometric serie with r = | $\frac{-3}{2}$ | > 1 the serie diverges.

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3 years ago

Find the difference (2m+3)-(7m-5)

weeeeeb [17]

Answer:

- 5m + 8

Step-by-step explanation:

Given:

(2m + 3) - (7m - 5)

If you want to find the differences between two values, it means you are to subtract

(2m + 3) - (7m - 5)

This means subtract (7m - 5) from

(2m + 3)

Step 1: Open parenthesis

(2m + 3) - (7m - 5)

= 2m + 3 - 7m + 5

Group like terms

= 2m - 7m + 3 + 5

= - 5m + 8

= 8 - 5m

8 0

3 years ago

You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane repre

natima [27]

Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

Answer:

112.5 units²

Step-by-step explanation:

Area of the shelf = ½*base*height.

The base is the distance between Z(0, 5) and Y(15, 5)

The height is the distance between X(15, 20) and Y(15, 5).

Therefore area of the shelf = ½*ZY*XY

Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

$ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$Z(0, 5) = (x_1, y_1)$

$Y(15, 5) = (x_2, y_2)$

$ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2}$

$AB = \sqrt{(15)^2 + (0)^2}$

$AB = \sqrt{225 + 0} = \sqrt{225}$

$AB = 15$

Distance between X(15, 20) and Y(15, 5):

$XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$X(15, 20) = (x_1, y_1)$

$Y(15, 5) = (x_2, y_2)$

$XY = \sqrt{(15 - 15)^2 + (5 - 20)^2}$

$XY = \sqrt{(0)^2 + (-15)^2}$

$XY = \sqrt{0 + 225} = \sqrt{225}$

$XY = 15$

Area of shelf = ½*15*15 = ½*225 = 112.5 units²

4 0

3 years ago

The Hawaiian language has 12 letters: five vowels and seven consonants. Each of the 12 Hawaiian letters are written on a slip of

Nesterboy [21]

12 total letters...5 vowels and 7 consonants.

probability of 1st letter being a vowel is 5/12
after replacing ...
probability of 2nd letter being a vowel is 5/12

probability of both occurring is (5/12 * 5/12) = 25/144 <===

8 0

3 years ago

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