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krek1111 [17]
3 years ago
9

In order to figure out who will go first in a game, your friend asks you to pick a number between 1 and 25. What are the possibl

e outcomes?
Mathematics
1 answer:
siniylev [52]3 years ago
8 0

Answer:

Step-by-step explanation:

The possible outcomes include 1, 2, 3, etc., up through 25.  This in itself is insufficient to specify who will go first.  There must be some further criteria.

Suppose each player chooses and announces a number from this set by writing it down on a scrap of paper which is placed face-down on the table.  The person who chooses the smaller number goes first.  Or, the person who chooses the larger number goes first.

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Let R be the triangular region in the first quadrant with vertices at points (0,0), (a,0), and (0,b), where a and b are positive
Salsk061 [2.6K]

Answer:

volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( \frac{-b}{a}x + b )² dx

Step-by-step explanation:

Given the data in the question and as illustrated in the image below;

R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)

from the image;

the equation of AB will be;

y-b / b-0 = x-0 / 0-a

(y-b)(0-a) = (b-0)(x-0)

0 - ay -0 + ba = bx - 0 - 0 + 0

-ay + ba = bx  

ay = -bx + ba

divide through by a

y = \frac{-b}{a}x + ba/a

y = \frac{-b}{a}x + b

so R is bounded by  y = \frac{-b}{a}x + b and y =0, 0 ≤ x ≤ a

The volume of the solid revolving R about x axis is;

dv = Area × thickness

= π( Radius)² dx

= π ( \frac{-b}{a}x + b )² dx

V = π ₀∫^a ( \frac{-b}{a}x + b )² dx

Therefore,  volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( \frac{-b}{a}x + b )² dx

6 0
2 years ago
Plz help fast will mark brainiest
Morgarella [4.7K]
2 x (-4) is -8. So no
8 0
2 years ago
Read 2 more answers
A right triangle has legs of lengths 8 and 15.
nalin [4]

Answer:

15

Step-by-step explanation:

please give me brailiest

3 0
3 years ago
Pls help me, all of this I’m sending is due by 11:59pm. And my time right now is 9:16pm. So plsss
yan [13]

Answer:

4(7y - 9)

Step-by-step explanation:

The greatest common factor you can factor out of both monomials is 4.

28y - 36

4(7y - 9)

4 0
3 years ago
Read 2 more answers
Someone help me please ?
drek231 [11]

The answer to your question is,

$8.84, since when you divide the numbers 67.99 and 13%, you get $8.84.

-Mabel <3

7 0
2 years ago
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