Answer:
4 ft
7.2 ft
20 ft
Step-by-step explanation:
When the balloon is shot, x = 0.
y = -0.05(0)² + 0.8(0) + 4
y = 4
The balloon reaches the highest point at the vertex of the parabola.
x = -b / 2a
x = -0.8 / (2 × -0.05)
x = 8
y = -0.05(8)² + 0.8(8) + 4
y = 7.2
When the balloon lands, y = 0.
0 = -0.05x² + 0.8x + 4
0 = x² − 16x − 80
0 = (x + 4) (x − 20)
x = -4 or 20
Since x > 0, x = 20.
Answer:
-1
Step-by-step explanation:
mn = -3 because 3 × -1 = -3
p^2 = 4 because 2^2 = 4
Then 4 + -3 = -1
Answer: 9/100
Step-by-step explanation:
Probability of people own a cat:
P(cat)=30/100=0.3
Probability of people own a bird:
P(bird)=3/100=0.03
Probability of both own a cat and a bird
P(cat and bird)=(30/100) × (3/100)
=90/1000=9/100=9%
32+45 can be used to figure out the starting amount
Answer:
<h2>There are 30 possible combinations of picking two letters.</h2>
Step-by-step explanation:
The combinations are defined as

Where
is the total number of elements and
is the number of letter we are gonna picke, which is two. Using this information, we have

Therefore, there are 30 possible combinations of picking two letters.