Hello.
C) x=4π/3
The variable x in the cotangent argument has a unit coefficient, so the period is π, just as it is in the parent function cot(x).
Can you graph y = cot(x)? By subtracting the constant π/6 from the argument, that graph is translated to the right by π/6. Just as with cot(x), it is decreasing everywhere.
Have a nice day
I can’t do this for you, you have to drag the segments into the boxes. The fifth over is A. then you do the first line segment. Then the third. for D you do the fifth over
1.)
6% of 38
1% of 38 = 3.8 ( you just move the decimal placement over by one.
1% * 6 = 6%
3.8 * 6 = 6%
3.8 * 6 = 22.8
6% =22.8
2.)
5% of 90
90/5 = 5%
90/5 = 18
18 = 5%
3.)
15/5 = 9/x
15/5 = 3
3 = 9/x
(nine divided by ? is three?....3!)
3 = 9/x(3)
3 = 9/3
3 = 3
x = 3
4.)
1/12 = .8/x
Multiply each side by ten.
1/12 * 10 = 5/6
.8/x * 10 = 8/x
5/6 = 8/x
Cross Multiply (switch the second numbers around)
5x = 6*8
Simplify
5x = 48
Divide both sides by 5 to get x by itself
5x/5 = x
48/5 = 9.6
*Whoo last problem lol*
5.)
A three liter bottle costs $2.97 what is the unit rate.
Well the unit is the object we're talking about, in this case a liter bottle.
The unit rate is how much it costs or is per unit.
Now that that's out of the way...
3L = 2.97
Like the other problems we want to get x by itself, so we'll divide by three)
3L/3 = L
2.97/3 = .99
L = .99
The Unit Rate is $0.99 per liter bottle.
Hope this helped :)
The probability that the selected consumer is 35–55 years old or likes Crunchicles is 0.444.
Number of people who liked Crunchicles = 121
Number of people who are 35 - 55 years of age = 120
Number of people who are 35-55 years of age or like crunchicles = 121 + 120 - 19
The probability that the selected consumer is 35–55 years old or likes Crunchicles = 222/500 = 0.444.
Imagine that the class only had 4 students (unrealistic most likely, but small numbers help much better I think)
If we had 4 students and 3 were boys, then 4-3 = 1 girl is in the class. This makes the ratio of boys to girls be 3 to 1. In other words, there are 3 times as many boys compared to girls.
Divide the number of girls (1) over the number of students total (4) to get 1/4 = 0.25 = 25%
<h3>Answer: 25%</h3>
