Answer:
Direction parabola opens upward.
Vertex of parabola is (27,-9).
Axis of symmetry is
.
Step-by-step explanation:
Note: Option sets are not correct.
The vertex form of a parabola is
...(1)
where, (h,k) is vertex and x=h is the axis of symmetry.
If a<0, then parabola opens downward and if a>0, then parabola opens upward.
The given function is
...(2)
On comparing (1) and (2), we get
, so direction parabola opens upward.
, so vertex of parabola is (27,-9).
So, axis of symmetry is
.
Answer:
h = 10sin(π15t)+35
Step-by-step explanation:
The height of the blade as a function f time can be written in the following way:
h = Asin(xt) + B, where:
B represets the initial height of the blade above the ground.
A represents the amplitud of length of the blade.
x represents the period.
The initial height is 35 ft, therefore, B = 35ft.
The amplotud of lenth of the blade is 10ft, therefore A = 10.
The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π
Finally the equation that can be used to model h is:
h = 10sin(π15t)+35
Answer:
158.4 pounds
Step-by-step explanation:
first find the volume of the tank


to convert this to m^3 we know that 1m = 100cm


the cm^3 cancel out.


by simply converting the side-lengths to meters beforehand can give you this answer directly:

it is given that 1 meter cube of water weighs about 2200 pounds.

multiply both sides with 0.072 to find our answer:


hence the weight of the water in the tank would be 158.4 pounds!
Answer:
47
Step-by-step explanation:
180 - 43 - 90
Answer:
Using the info you just gave,
Basketball, 8 studentsfootball, 7 studentsSoccer 12 studentsother, 13 students
We can now figure out the percentage of students that did NOT select soccer.
First, you need to add all the students together.
8 + 7 + 12 + 13
You get 40 students all together.
Now, add together the students that DID NOT choose soccer.
7 + 8 + 13 = 29
That means that 28/40 of the students did not choose soccer.
Now, convert that to a percentage.
28/40 = 0.7
To make that into a percentage, multiply by 100
Thus, the percentage of students that did not select soccer is 70%.
Hope this helped!