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3 years ago

Nick decides to play "Spin to Win" at a fundraiser event. He has a 25% chance of winning on any individual spin.

Mathematics

2 answers:

RoseWind [281]3 years ago

5 0

Answer:

0.015625

Step-by-step explanation:

monitta3 years ago

5 0

Answer:

0.015625

Step-by-step explanation:

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The smallest integer that can be added to -2m3 − m + m2 + 1 to make it completely divisible by m + 1 is

QveST [7]

Hello,

-2m^3+m²-m+1=(m+1)(-2m²+3m-4) +5

We must add -5 ; the remainder will be 5-5=0.

3 0

3 years ago

zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

3 0

3 years ago

NCn is __________ equal to 1. always sometimes never

Black_prince [1.1K]

NCn is always equal to 1.

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