Answer:
Step-by-step explanation:
Eight
590 = 1800 e^(-0.4t) Divide by 1800
0.32778 = e^(-0.4t) Put the value for e in the denominator.
0.32778 = 1 / e^(0.4t) Notice the sign's gone. Multiply both sides by e^(0.4t)
0.32778 *e^(0.4t) = 1 Divide by 0.32778
e^(0.4t) = 3.0508 Take the natural log of both sides.
0.4t = 1.11542 Divide both sides by 0.4
t = 2.78855
You should put this in the original equation to see if it checks. It does.
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Nine
3^(3 - 3x) + 6 = 42 Subtract 6 from both sides
3^(3 - 3x) = 36 Take the log of both sides.
(3 - 3x) ln(3) = ln 36
(3 - 3x) *1.098612 = 3.58352 Divide by 1.098612
3 - 3x = 3.26186 Subtract 3 from both sides
- 3x = 0.26186 Divide by - 3
x = - 0.087287
Answer:
The answer is the Greatest Common Factor (GFC).
Step-by-step explanation:
Xd = y(L-d) then divide by "y"
xd/y = L - d then add "d"
xd/y + d = L
Answer:
35 mins lost
out of 3 and 1/2 hrs = 3.5 x 60 mins = 210 mins
%time lost = time lost/total time x 100
= 35/210 x 100
= 1/6 x 100
= 16.66666 %
Hello :
let the equation : y = ax+b
<span>xx-intercept (4.5,0) : 0 = a(4.5) +b .... (1)
</span><span>yy-intercept (0,-5.4) .: - 5.4 = a(0)+ b .....(2)
by (2) : b = - 5.4
subsct in (1) : 4.5a -5.4 = 0
a = 5.4/4.5
a = 54/45
a = 6/5
</span><span>the equation of the line (in slope intercept form) is : y =(6/5)x - 5.4</span>
