Answer:
125feet
Step-by-step explanation:
Given the equation that modeled the height expressed as h = -16t^2 + 80t + 25, where h is the height and t is the time in seconds.
The arrow reaches the maximum height at dh/dt = 0
dh/dt = -32t + 80
0= -32t+80
32t = 80
t = 80/32
t = 2.5secs
substitute t = 2.5 into the formula;
h = -16t^2 + 80t + 25
h = -16(2.5)^2 + 80(2.5) + 25
h = -16(6.25)+225
h = -100+225
h = 125
Hence the maximum height the arrow reaches is 125feet
Answer:
Step-by-step explanation:
2 functions start by making a domain
Function 1: -3≤x<1
Function 2: -1≤x≤1
Now come up with equations
Function 1= x+3
Function 2= 5
Now put it all together
f(x)= x+3 for -3≤x<1 and 5 for -1≤x≤1
Answer:
<em><u>2</u></em><em><u>.</u></em><em><u>3</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>(</u></em><em><u> </u></em><em><u>3</u></em><em><u>,</u></em><em><u> </u></em><em><u>1</u></em><em><u>)</u></em><em><u> </u></em>
Step-by-step explanation:
1) Simplify 3 × (1, 1) 3 × (1, 1) to 3× 1, 13 × 1,1.
<em>2</em><em>.</em><em>3</em><em> </em><em>-</em><em> </em><em>(</em><em> </em><em>3</em><em> </em><em>×</em><em> </em><em>1</em><em>,</em><em> </em><em>1</em><em> </em><em>)</em>
2) Simplify 3 × 1 to 3.
2.3 - ( 3, 1)
<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>2</u></em><em><u>.</u></em><em><u>3</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>(</u></em><em><u> </u></em><em><u>3</u></em><em><u>,</u></em><em><u> </u></em><em><u>1</u></em><em><u>)</u></em><em><u>.</u></em>
Answer:
20,158 cases
Step-by-step explanation:
Let
represent year 2010.
We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.
Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.
We can represent this information in an exponential decay function as:


To find number of cases in 2020, we will substitute
in our decay function as:



Therefore, 20,158 cases will be reported in 2020.
Answer:
see explanation
Step-by-step explanation:
The volume (V) of a cylinder is
V = area of base × height
here area of base = 64π and height = 10, hence
V = 64π × 10 = 640π in³ ← exact value