Answer:
No, the maximum height that the balloon can reach is 9ft.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
The function h(x) =-0.5(x-4)² +9, is a Quadratic Function in the Vertex form.
Vertex form: f (x) = a(x - h) 2 + k
Where:
- (h, k) is the vertex of the parabola-
- h is the horizontal shift (how far left, or right, the graph has shifted from x = 0).
- k represents the vertical shift (how far up, or down, the graph has shifted from y = 0).
In this case a = -0.5, it means that the parabola opens downward and has a maximum point at the vertex.
So, the maximum height that the balloon can reach is k=9ft.
9 ∠ 12
The balloon will not hit the ceiling 12 ft above the pool.
Feel free to ask for more if needed or if you did not understand something.
1 gallon of water= 3.79 liters of water
1 liter of water makes 4 1/3 glasses of water
Answer:
y = 0.265x - 494.7
Step-by-step explanation:
Let median age be represent by 'a' and time be represent by 't'
In 1980, median age is given 30
which means that
a₁ = 30
t₁ = 1980
In 2000, the median age is given 35.3
which means that.
a₂ = 35.3
t₂ = 2000
The slope 'm' of the linear equation can be found by:
m = (a₂ - a₁) /(t₂ - t₁)
m = (35.3 - 30)/(2000-1980)
m = 0.265
General form of linear equation is given by:
y = mx + c
y = 0.265x +c
Substitute point (1980,30) in the equation.
30 = 0.265(1980) + c
c = -494.7
Hence the the linear equation can be written as:
y = mx + c
y = 0.265x - 494.7
<span>A unit </span>cube<span> is simply a </span>cube<span> measuring one inch, one centimeter, one </span>foot<span>, or whatever unit of measurement you are using, on all sides. ... </span>If<span> you look carefully, you will see that the </span>volume<span> of the</span>rectangular prism<span> is a function of multiplying the </span>length<span> the </span>width<span> the </span>height<span>. ... First find the </span>area<span> of the</span>base<span>. does that help</span>
Answer:
$28
Step-by-step explanation:
Given that:
Value of Winning bid = $52
Winning bid 65% of the maximum bid.
To find:
How much more is the maximum bid from the winning bid ?
Solution:
We are given that the winning bid is 65% of the maximum bid.
Using this percentage value, we need to first find the value of maximum bid and then we need to subtract the value of winning bid from the maximum bid to find the answer.
Let the value of maximum bid = $
As per question statement:
Therefore, maximum bid = $80
Our answer is:
$80 - $52 = <em>$28</em>
