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grigory [225]
3 years ago
14

Please answer this correctly

Mathematics
2 answers:
Alinara [238K]3 years ago
6 0

Answer:

1/6

Step-by-step explanation:

Since the die has 6 sides that are all equally likely to be landed on, the probability of landing on 2 is 1/6, as there is one "favorable" outcome and 6 total outcomes. Hope this helps!

Dmitrij [34]3 years ago
5 0

Answer:

1/6

Step-by-step explanation:

Sides of dice = 6

Number 2 in dice = 1

P(2) = 1/6

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The exponential growth function is as follows.

r is the rate of growth (0.50)

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On Tuesday the dollar worth of merchandise was sold on Wednesday ​
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and?

Step-by-step explanation:

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3 years ago
Simplify the first trigonometric expression by writing the simplified form in terms of the second expression (1/1-cosx)-(cos/1+c
garik1379 [7]

(\frac{1}{1-cos(x)})-(\frac{cos(x)}{1+cos(x)})

cscx is  1/sinx

maybe they want us to use pythagorean identity

cos^2(x)+sin^2(x)=1

I notice we have 1-cos(x) and 1+cos(x), if we multiply them, we get 1-cos^2(x)

and if we look at the pythagorean identity and minus cos^2(x) from both sides, we get

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

since csc(x)=\frac{1}{sin(x)}, csc^2(x)=\frac{1}{sin^2(x)}=\frac{1}{1-cos^2(x)}

(recall that (a-b)(a+b)=a²-b²)

match the denomenators of the original fraction

multiply first fraction by \frac{1+cos(x)}{1+cos(x)} and the 2nd by \frac{1-cos(x)}{1-cos(x)}


(\frac{1+cos(x)}{1-cos^2(x)})-(\frac{cos(x)(1-cos(x))}{1-cos^2(x)})=

((csc^2(x))(1+cos(x)))-((csc^2(x))(cos(x)-cos^2(x)))=

csc^2(x)+csc^2(x)cos(x)-(csc^2(x)cos(x)-csc^2(x)cos^2(x)=

csc^2(x)+csc^2(x)cos(x)-csc^2(x)cos(x)+csc^2(x)cos^2(x)=

csc^2(x)+csc^2(x)cos^2(x)=

csc^2(x)(1+cos^2(x)), hmm, to get ride of those cos(x)

look to the pythagorean identity again


sin^2(x)+cos^2(x)=1, force one side into form 1+cos^2(x)

1+cos^2(x)=2-sin^2(x), recall that since csc(x)=1/sin(x), sin(x)=1/csc(x) and sin^2(x)=1/(csc^2(x))

1+cos^2(x)=2-\frac{1}{csc^2(x)}

subsituting


csc^2(x)(1+cos^2(x))=

(csc^2(x))(2-\frac{1}{csc^2(x)})= distributing

2csc^2(x)-\frac{csc^2(x)}{csc^2(x)}=

2csc^2(x)-1 is the simplified expression

8 0
3 years ago
A line passes through (2,4) and (-2,2). find the value of y if (6,y) lies on the same line
katrin2010 [14]

Answer:

y = 6, rendering the coordinate pair: (6,6)

Step-by-step explanation:

We start by writing the equation of the line that passes through two given points on the plane: (x_1,y_1) and (x_2,y_2) beginning with finding the slope of the segment that joints the points using the slope formula: slope=\frac{y_2-y_1}{x_2-x_1}

Let's call (x_1,y_1) = (2,4), and (x_2,y_2) = (-2,2). Then we have the formula for the slope:

slope=\frac{y_2-y_1}{x_2-x_1}=\frac{2-4}{-2-2} =\frac{-2}{-4} =\frac{1}{2}

Now that we have the slope of the line, we can find the actual equation of the line by using one of the given points, and the "point-slope" form of a line with slope "m" and going through a point (x_0,y_0) - which in our case we defie as one of our given points, let's say (2, 4):

y-y_0=m\,(x-x_0)\\y-4=\frac{1}{2} (x-2)\\y-4=\frac{1}{2} x-1\\y=\frac{1}{2} x-1+4\\y=\frac{1}{2} x+3

now we find what is the "y" value in such line that corresponds to an x-value of "6" to complete the coordinate pair (6, ?). For such we simply evaluate the equation above at x = 6:

y=\frac{1}{2} x+3\\y=\frac{1}{2} (6)+3\\y=3+3\\y=6

Therefore, y must be "6".

7 0
3 years ago
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