Answer:
The time(s) the ball is higher than the building: Interval (0,4)
Step-by-step explanation:
s(t)=-16t^2+64t+400
Determine the time(s) the ball is higher than the building:
s(t)>400
-16t^2+64t+400>400
Subtracting 400 both sides on the inequality:
-16t^2+64t+400-400>400-400
-16t^2+64t>0
Multiplying the inequality by -1:
(-1)(-16t^2+64t>0)
16t^2-64t<0
Fatorizing: Comon factor 16t:
16t(16t^2/16t-64t/16t)<0
16t(t-4)<0
t is greater than zero:
t>0→t-4<0→t-4+4<0+4→t<4
Then t>0 ant t<4:
Solution = (0, Infinite) ∩ (-Infinite, 4)
Solution = (0,4)
Answer:
The population of the town is 0.983 times the population of the town in the previous year.
B is correct.
Step-by-step explanation:
We are given a function which represent population of a town after t years.
It is an exponential function. Exponential function wither decease or increase it depends on factor.
b is factor which decides factor of exponential function decrease or increase.
- If b >1 then function increase
- If 0<b<1 then function decrease.
If we see our problem
Here, b=0.983<1
Function would be decrease by factor of 0.983
Thus, The population of the town is 0.983 times the population of the town in the previous year.
The area of the polygon is 470596 units²
<h3>What is Area of Regular polygon?</h3>
The region occupied by it in a two-dimensional plane. The areas or formulas for areas of different types of polygon depends on their shapes.
Given that: side are 7 cm,14 cm,14 cm,7 cm,7 cm,7 cm
Area of Polygon= 7*14*14*7*7*7
= 343*195*7
= 470596 units²
The area of polygon is 470596 units²
Learn more about area of polygon here:
brainly.com/question/10761744
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Answer:
y < 4
Step-by-step explanation:
I think because the number of blocks is different, but the proportion of space can be filled in the same.
