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Thanks so much!!

A linear function is a function that represents a line, 

y = 4x + 4

There are more advance functions, like quadratics

y = x^2 +4x + 9

And power functions

y = 3x^8

Polynomial functions

y = 3x^4 + 2x^2 + 8x + 9

Exponential

y=3^x

Rational

y = (4x^2+4x+4)/(9x+9)

Logarithmetic functions

y = 3lnx+b

Sinusodial

y=3sinx+4

Whew!!

Lots of functions

Dependent events are events that "rely" on each other. 

For example, think about dominoes. The last domino falling is dependent on the first domino. If the first one falls, the last on wil l too. but if the first one doesn't the last one likely won't either. This is used in probability. 

I hoped this helped. 

supermanaccz

An ordered pair is a coordinate point. 

For example, 

(0,0) would be the origin. 

By definition, sample space is the range of values of a random variable.

Number of event occurrences.

Total number of trials.

For example, if a dice is rolled 6000 times and the number '5' occurs 990 times, then the experimental probability that '5' shows up on the dice is 990/6000 = 0.165.

We need to find  the variation constant, k

We have that

f(x)  = k(x)

160  =  k (5)      divide both sides by 5

32  = k

So  when x  = 0.5, we have

f(x)    = 32 (0.5)   =  16

Just as  Supermanaccz  found   !!!!

probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.

the lower quartile divides the bottom half of the data into two halves

A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).

me! and alot of other genuises

my god! That must have took time and patience,

Your triangle will be a right scalene triangle. 

Right because one angle is 90 degrees. 

Scalene because all three sides are different. 

I'n not sure, but if it is a direction variation, than 

160/x = 5/0.5

x = 16

16 will be my answer, but I'm not sure. 

Supermanaccz

We have a 30-60-90 right triangle

The side opposite the 30° angle forms the base of the triangle

The side opposite the 60° angle forms the height and is √3 times the base

So....the area is

(1/2)(base)(height)  =

(1/2)(8) (8√3)  =

32√3  ≈ 

55.4 in^2

There are 7! ways to put the beads on the grid, not considering rotations and reflections. Arrangements can be reflected or not reflected and can be rotated by 0, 60, 120, 180, 240, or 300 degrees, so they come in groups of twelve equivalent arrangements. Correcting for the symmetries, we find that there are 7!/12 = [420] distinct arrangements.

this has already been answered here: “https://web2.0calc.com/questions/helppppp_15”

by melody

Use Pythagoras' theorem:

41^2 = 40^2 + 9^2

1,681 =1,600 + 81

1,681 = 1,681 - So this a right-angle triangle.

I also need help on this.

Right angle =a^2+b^2=c^2

1) (6/10)^2+(8/10)^2=(1)^2

solve: 9/25+16/25=1

1=1

Yes, this is a right triangle.

2) (7)^2+(7)^2=(13)^2

Solve: 14+14=169

28=169

No, this is not a right triangle 

3) (3/13)^2 + (4/13)^2 = (5/13)^2
9/169 + 16/169 = 25/169
25/169 = 25/169

Yes. It is a right triangle

Answer) 1 and 3

Use Pythagoras' theorem:

1-  (6/10)^2 + (8/10)^2 = 1^2

        0.36    +    0.64    = 1

                    1              = 1 - Yes, this one is a right triangle

2)  7^2  +  7^2 = 13^2

      49   +   49 = 169

             98      = 169 - No, this one is not a right tiangle.

3)  (3/13)^2  + (4/13)^2 = (5/13)^2

      0.053254 + 0.094675 = 0.1479289

              0.1479289          =0.1479289 - Yes, this one is a right triangle.

Total distance to cover = 4 * 18 + 2 * sqrt(18^2+18^2) = 123 ft

123 / 25 = 5 rolls

\(\frac{y_2-y_1}{x_2-x_1}=\frac{(9)-(25)}{(2)-(-2)}=\frac{-16}{4}=-4\)

The ladder forms a right-angle triange with the ground and the wall.

Looking at the angle between the ladder and the ground, this means the ladder is the hypotenuse, the wall is the opposite side, and the ground is the adjacent side.

We know the length of the ladder (18 ft) and the height of the wall (17.3 ft), so we know the hypotenuse and opposite side lengths, so we can use sin to calculate what the angle between the ladder and the ground would have to be.

\(\sin(\theta)=\frac{opposite}{hypotenuse}\)

\(\theta=\arcsin(\frac{opposite}{hypotenuse})\)

\(\theta=\arcsin(\frac{17.3}{18})\)

\(\theta=74.0^{\circ}\)

74 is less than 75, so the ladder will be safe.