Step-by-step explanation:
<em>1</em><em>1</em><em>/</em><em>2</em><em>,</em><em> </em>-11, 22, <em>-</em><em>4</em><em>4</em><em>,</em><em> </em>88, -176
common ratio : 22/(-11) = -2
Answer:
V = 3591.4 cm³
Step-by-step explanation:
Volume of Sphere = 
Where r = 9.5 cm
V = 
V = 
V = 
V = 3591.4 cm³
Answer: t= 13.2 seconds
Step-by-step explanation:
The quadratic function for ball's height in terms of time t is given as
s(t)= -16t² +192t + 256
Now we want to find out the time at which the ball hits the ground.
When the ball hits the ground, the height of the ball will become zero so in the above equation we can put s(t)=0
0= -16t² +192t + 256
or 16t² -192t - 256 = 0
Solving this quadratic equation, we have
t= 13.211 and t= -1.211
Since time can't be negative so
t= 13.2 seconds
Answer:
The two linear inequalities =
x + y ≤ 200
100x + 25y ≥ 3000
Step-by-step explanation:
The auditorium they're performing in can hold no more than 200 people.
This means the number of tickets that would be sold would be less than or equal to 200 people
The tickets are represented as:
Adult tickets = x
Children tickets = y
Hence
Inequality equation 1
= x + y ≤ 200
Gabby wants to make at least $3000 for new costumes.
These means greater than or equal to $3000
Adult tickets (x) are going to be sold for $100 per adult and children tickets (y) are going to be sold for $25 per child.
Inequality equation 2
= $100 × x + $25 × y ≥ $3000
= 100x + 25y ≥ 3000
