Half-life, h = 13 hours
Mass initial, a = 38 g
B=base for half-life = 2
(a)
I(t)=a*B^(-t/h)=a*(B^(1/h)^(-t)=a*(B^(-1/13))^t
Substituting values,
I(t)=38*(2^(-1/13))^t
a=38 g
b=2^(-1/13)=0.9480775 (approximately)
=>
I(t)=38*0.9480775^t
(b) I(t)=7
solve
I(t)=7=38*0.948077^t
Take log on both sides and solve for t
t=log(7/38)/log(0.948077)
=31.727 hours.
Check: I(31.727)=38*9.948077^(31.727)=7.000 g ok
For the first boat, 6 knots at a bearing of N39, and for the second boat 4 knots at a bearing of S87°W. the distance of boats at the end of 2 hr and the bearing of 1st to 2nd both is mathematically given as
<h3>What is the distance b/w the boats at the end of 2 hr and the bearing of 1st to 2nd boat?</h3>
Generally, the Relative speed is mathematically given as
V=\sqrt{4^2+6^2+2(4)(6)cos(48)}
V=\sqrt{52+48(0.669)}
X=9.17Knots
Hence, distance b/w the boats
V'=9.17Knots*2
V'=18.34
V'=22.93Km
In conclusion, the bearing of 1st to 2nd boa ist
B=39+90+(90-87)
B=132°
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brainly.com/question/4931057
Answer:
5 square root 2
Step-by-step explanation:
Which two equations represent the same function?
A) y = 2x – 7 and f(x) = 7 – 2x
<span>B) 3x = y – 2 and f(x) = 3x – 2</span>
<span>C) f(x) = 3x2 + 5 and y = 3x2 + 5</span>
D) None of the above
Show/Hide Answer
<span>A) <span>y </span>= 2x – 7 and f(x) = 7 – 2x</span>
Incorrect. <span>These equations look similar but are not the same. The first has a slope of 2 and a y-intercept of −7. The second function has a slope of −2 and a y-intercept of 7. It slopes in the opposite direction. They do not produce the same graph, so they are not the same function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.</span>
B) 3x = y – 2 and f(x) = 3x – 2
Incorrect. <span>These equations represent two different functions. If you rewrite the first equation in terms of y, you’ll find the equation of the function is <span>y </span>= 3<span>x + </span>2. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.</span>
C) f(x) = 3x2 + 5 and y = 3x2 + 5
Correct. <span>The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5. </span>D) None of the above
Incorrect. <span>Look at the expressions that follow f(x) = and y =. If the expressions are the same, then the equations represent the same exact function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.
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