Answer:
a) h(t) = -16t² + 56t; b) the graph is attached; c) maximum height is 49 feet, it takes 1.75 seconds to reach the maximum, and it is in the air for 3.5 seconds.
Step-by-step explanation:
Equations for these situations are in the form
h(t) = -16t² + v₀t + h₀, where t is the tie in seconds, v₀ is the initial velocity and h₀ is the initial height. The initial height in this case is 0, since it is launched from the ground; and the initial velocity is 56. This gives us the function
h(t) = -16t² + 56t
The graph is attached.
Using the graph, we can trace the function to the maximum. The y-value of the maximum, or the maximum height, is 49 feet. The x-value of the maximum, the time it takes, is 1.75 seconds.
The roots of this equation are at x = 0 and x = 3.5. This means the rocket is in the air for 3.5-0 = 3.5 seconds.
In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.
Answer:
5. m<1 = 114 degrees
m<2 = 66 degrees
6. 2x + 3x + 4x = 9x = 180, x = 20
7. 3
8. 1/3
<em>Hope that helps!</em>
<em>-scsb</em>
Step-by-step explanation:
Answer:
x = 27°
Step-by-step explanation:
m<D
m<CBE = 63° (Given)
m<CBE = m<ABD (vertical angles)
m<ABD = 63° (substitution)
x = 180 - (m<ABD + m<D) (Sum of triangle)
x = 180 - (90 + 63)
x = 27°
For the given set of numbers:
<span>{1,2,3,4, 5, 6, 7, 8, 9, 10}
the number of elements
n=10
the total number of subsets is given by:
2^10=1024
</span>
