Answer:
Step-by-step explanation:
a)The height h after t seconds is given by the equation h(t)=-16t^2+112t+5.
Where 5 represents 5feet above the ground and this is the height from which the rocket was launched.
The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height travelled by the rocket.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = -16
b = 112
Vertex = - - 112/32= 3.5
So the rocket will attain maximum height at 3.5 seconds.
It will also take 3.5 seconds to reach the ground. This means it will take a total of 3.5 seconds + 3.5 seconds
= 7 seconds to hit the ground.
b) to find time it will take to be 100 feet above the ground,
-16t^2+112t-95 = 0
Using general quadratic equation formula,
a = -16
b = 112
c = -95
t = [-b+/-√b^2-4ac]/2a
t = [ -112 +/-√112^2-4×-16×-95]/16 × -2
= [-112 +/-√12544-6080]/-32
= (-112+80.4)/-32 or (-112-80.4)/-32
t = 0.9875 or t = 6.0125
So it will take 0.9875 or approximately 1 second to be 100 feet above the ground
Answer:
70% of the people at the fair are students
165 people are on the ride
Step-by-step explanation:
In order to find a percentage, take the fraction given, 385/550, and divide the numerator, 385, and divide it by the denominator, 550. Once completing this, we get 0.7
Next, we multiply the result by 100, and get 70, thus, 385 is 70% of 550.
To find how many people 30% of 550 is, we take the percentage and put it in a fraction with the denominator being 100(changes with size of fraction like a decimal, 300 would be over a denominator of 1000)
With 30/100, we then multiply by 550 with the equation looking like this:
30/100*550/1
Once we finish multiplying(typically using a calculator, although you can do it manually) we get 165, the value of how many people are on rides out of the total 550.
To find square numbers, you multiply the number by itself.
For example:
5 x 5 = 25
10 x 10 = 100
Answer:
<h3>
X = 2 , X = -3</h3>
Option C is the correct option.
Step-by-step explanation:
Discriminant = 
Given d = 15
When discriminant D > 0 --> roots are real and distinct. ( unequal )
So , 
option has real and distinct roots.
Hope this helps..
Best regards!!
The answer would be 303.62 if I’m not mistaken
