6,2,8,4,and 0 are the only possible value of the ones digit, because
6*1=6, last digit is 6
6*2=12, last digit is 2
6*3=18, last digit is 8
6*4=24, last digit is 4
6*5=30, last digit is 0
6*6=36, last digit is 6
and the whole cycle goes over again.
We will see that the exponential decay function is:
f(x) = 175*(0.8)^x
<h3>
How to find the exponential decay?</h3>
The general exponential decay is:
f(x) = A*(1- r)^x
Where:
- A is the initial value.
- r is the rate of decay in decimal form.
- x is the variable, in this case is the time.
Here we know that the initial value is 175, and the rate of decay is 20%. To get this in decimal form, we just divide it by 100%.
20%/100% = 0.2
Replacing that in the exponential function, we get:
f(x) = 175*(1 - 0.2)^x
f(x) = 175*(0.8)^x
If you want to learn more about exponential functions, you can read:
brainly.com/question/11464095
Answer:
The area of the figure is equal to 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of the figure is equal to the area of a square plus the area of a triangle
<u>Find the area of the square</u>
The area of square is equal to
<u>Find the area of the triangle</u>
The area of the triangle is equal to
therefore
The area of the figure is equal to
Answer:
d is the
Step-by-step explanation:
Answer:
h = height reached
-16 t^2 = 1/2 g t^2 where g = 32 ft/sec^2
v t = height due to original vertical speed v
s = initial height
1. -45 = -16 t^2 + 62 t + 0 measuring height from original height
solving quadratic
2. t = 4.5 sec
3. time to reach max height = v / g = 62/32 = 1.94 sec
H (above release point) = -16 (1.94^2) + 62 * 1.94 = 60 ft
4. 2 * 1.94 = 3.88 solved in part 3
5. 1.94 solved on part 3
Check: time to fall 60 + 45 ft = 105 ft
105 = 1/2 g t^2
t = (210 / 32)^1/2 = 2.56 sec
total time = 2.56 * 1.94 = 4.5 sec time to fall + rise time
-45 = -16 * 4.5^2 + 62 * 4.5
-45 = -324 + 279 = -45 checking time to reach -45 feet using given equation
