Answer:
2.75 seconds.
Step-by-step explanation:
We have been given that a ball is dropped from the ground. T represents the time in seconds.
To find the time when the ball was in air, we will equate height of ball with 0 and solve for t.

Upon dividing both sides by 4, we will get:







Since our given function is a downward opening parabola, so ball will be in air between both t-intercepts.
Since the ball touches the ground at 2.75 seconds, therefore, the ball would be in air for approximately 2.75 seconds.
Answer:
To empty the aquarium it takes 26 minutes
Step-by-step explanation:
step 1
Find the volume of the aquarium
The volume of rectangular prism is

we have

substitute the given values

step 2
Divide the volume by the rate of 396 in^3 per minute

therefore
To empty the aquarium it takes 26 minutes
Answer:
100 degrees
Step-by-step explanation:
Arc QM = Arc QN = 130°
Arc MN = 360 - Arc QM - Arc QN
= 360 - 2(130)
= 360 - 260
= 100°
Answer:
B
Step-by-step explanation:
f(x) is just another way of saying y, so this function is really y=4x-5. So if you do y+3 then the y intercept will increase by 3 shifting the graph up 3 units.
Answer: 
Step-by-step explanation:
Since the general quadratic equation is,

Here the given table is,
x 1 2 3 4 5 6 7
y 5.9 8.9 13.4 20.1 30.1 45.1 67.7
By the graphing calculator,
a = 1.87024 ≈ 1.87
b= -5.15833 ≈ -5.15
c = 10.5429 ≈ 10.54
By putting the values of a, b and c,
The required quadratic equation is,

⇒ First Option is correct.