5/7+(-1/3)-(-1/2) Show work pls

Is y = 4x + x a linear equation

seraphim [82]

Answer:

yes

Step-by-step explanation:

8 0

2 years ago

V divided by 169 is the same as 10

gladu [14]

Answer:

no

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Given sec theta=-4/3 and 90 degrees < theta< 180 degrees; find sin 2 theta

babunello [35]

Answer:

Answer is option "a" i.e.

$\frac{-3\sqrt{7}}{8}$

Step-by-step explanation:

sin2Ф = 2sinФ.cosФ

So, we need values of sinФ and cosФ but we are given secФ. We can find sinФ and cosФ with the help of secФ first by finding all sides of triangle and then by using Pythagorean theorem.

Given that,

secФ = -4/3

While,

secФ = hypotenuse/base

Hence,

length of hypotenuse = 4

length of base = 3

To find perpendicular we'll use Pythagorean theorem:

(hyp)² = (base)² + (perp)²

$perp = \sqrt{hyp^2 - base^2}$

$perp = \sqrt{16-9}\\ perp = \sqrt{7}$

length of perpendicular = √7

Now, to find sinФ and cosФ

sinФ = perp/hyp

sinФ = √7/4

cosФ = base/hyp

cosФ = 3/4

<h3>Finally to find sin2Ф</h3>

sin2Ф = 2sinФ.cosФ

$=2*\frac{\sqrt{7}}{4} *\frac{3}{4}\\=\frac{3\sqrt{7}}{8}$

<h3>negative sign of sin2Ф</h3>

As 90≤Ф≤180

So multiplying it by 2

180≤Ф≤360

which is 3rd and 4th coordinate in which sin has negative value.

6 0

3 years ago

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Five distinct numbers are randomly distributed to players numbers 1 through 5. Whenever two playerscompare their numbers, the on

ad-work [718]

Answer:

Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that

$P(X=0)=\frac{1}{2}$

Event X = 1 means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence

$P(X=1)=\frac{1}{6}$

Event X = 2 means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence

$P(X=2)=\frac{1}{12}$

Event X = 3 means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence

$P(X=3)=\frac{1}{20}$