H(t) = -16t² + vt + s
Where -16 is half of the gravitational constant of almost 32 ft/sec (downward, thus negative),
v is the initial velocity (90), and
s is the starting height (160)
so we have:
H(t) = -16t² + 90t + 160
How long before it hits the ground? Solve for h(t) = 0:
0 = -16t² + 90t + 160
Divide both sides by -2:
0 = 8t² - 45t - 80
Quadratic equation:
t = [ -b ± √(b² - 4ac)] / (2a)
t = [ -(-45) ± √((-45)² - 4(8)(-80))] / (2(8))
t = [ 45 ± √(2025 + 2560)] / 16
t = [ 45 ± √(4585)] / 16
throwing out the negative time:
t = (45 + √4585) / 16
t ≈ 7.04 seconds
Answer:
Step-by-step explanation:
we know that
The solution of the graph shows the interval (-∞,4]
All real numbers less than or equal to 4
In a number line the shaded area is at left of x=4 (closed circle)
The number 4 is included in the solution
therefore
the inequality that represent the graph is
Answer:
In the 9th year, the population of Franklin will exceed Chester.
We have two equations in this problem.
y = 20000(1.05)^x
y = 25000 + 500x
There are a few options to determine the answer.
1) Create a chart for each city.
2) Use a graphing calculator to graph them.
3) Solve the equation to determine when they are equal.
Step-by-step explanation:
Hey there! :D
Add all the candies together.
15+20+10= 45
What is the probability of drawing a red candy?
15/45=.333333 or 33% chance.
A blue candy?
20/45= 0.444444 or 44% chance.
Something besides a yellow candy?
35/45= 0.777777 or 77% chance.
If you added the last two results together 33% and 44%, you would also have 77%.
I hope this helps!
~kaikers
Answer:
Length of diagonal of the rectangle=
√( length) ²+( breadth) ²
=√(20) ²+(12) ²
=√400+144
√544 m
. '. Length of fence= √544 m
Perimeter of the triangle formed by the diagonal of the rectangle =(12+20+√544)
=(32+√544) m