Answer:
1, 4, and 5
Step-by-step explanation:
1 is correct because 5*5=25*4=100
2 is incorrect because 5*5=25*5=125
3 is incorrect because 5*4=20*4=80
4 is correct because 5*20=100*1=100
5 is correct because 5*2=10*10=100
6 is incorrect because 5*10=50*10=500
Given:
The table of values of an exponential function.
To find:
The decay factor of the exponential function.
Solution:
The general form of an exponential function is:
...(i)
Where, a is the initial value and 
is the decay factor and 
is the growth factor.
The exponential function passes through the point (0,6). Substituting 
in (i), we get
The exponential function passes through the point (1,2). Substituting 
in (i), we get
Here, 
lies between 0 and 1. Therefore, the decay factor of the given exponential function is 
.
Hence, the correct option is A.
This answer would be a cuboid because it has parallel,perpendicular,and diagonal cross sections
<span> The coordinates of the focus are </span><span><span>(<span>h,k+<span>1/<span>4a</span></span></span>)</span><span>(<span>h,k+<span>1/<span>4a</span></span></span>)
y=1/38*x^2
here h=0,k=0 ,a=1/38
so if we put values to find focus
focus(0,0+1/4*1/38)=(0,9.5)
</span></span><span>
</span>
Answer:
509.35 feet
Step-by-step explanation:
16°23' means 16 degrees and 23 minutes. A minute is 1/60 of a degree.
16°23' = 16 + (23/60) = 16.383°
Similarly:
49°29' = 49 + (29/60) = 49.483°
When the boat is first noticed:
tan(16.383°) = 200 / a
a = 200 / tan(16.383°)
a = 680.27
When the boat stops:
tan(49.483°) = 200 / b
b = 200 / tan(49.483°)
b = 170.92
So the difference is:
a − b = 680.27 − 170.92 = 509.35
The boat traveled 509.35 feet from the time it was first noticed to the time it stopped.
