1/25 of a minute is 2,4 secs.
1/5 = 2,4s
5/5 = 12 secs
Let u = x.lnx, , w= x and t = lnx; w' =1 ; t' = 1/x
f(x) = e^(x.lnx) ; f(u) = e^(u); f'(u) = u'.e^(u)
let' find the derivative u' of u
u = w.t
u'= w't + t'w; u' = lnx + x/x = lnx+1
u' = x+1 and f'(u) = ln(x+1).e^(xlnx)
finally the derivative of f(x) =ln(x+1).e^(x.lnx) + 2x
They are similar. Set the proportions equal to each other
(x + 8)/8 = (x+14)/12
Cross multiply
(x + 8)/8 (8)(12) = (x + 14)/12 (12)(8)
12(x + 8) = 8(x + 14)
Distribute the 12 and 8 to the corresponding monomials inside the parenthesis
12(x + 8) = 12x + 96
8(x + 14) = 8x + 112
12x + 96 = 8x + 112
Isolate the x. Subtract 8x from both sides and 96 from both sides
12x (-8x) + 96 (-96) = 8x (-8x) + 112 (-96)
12x - 8x = 112 - 96
4x = 16
Isolate the equal sign. Divide 4 from both sides
4x/4 = 16/4
x = 16/4
x = 4
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4 is your answer for x
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hope this helps
1. 8r + 4 = 10 + 2r
-4 -4
8r = 6 + 2r
-2r -2r
6r = 6
R= 1
2. -2(x + 3) = 4x - 3
-2x - 6 = 4x - 3
+3 +3
-2x -3 = 4x
+2x +2x
-3 = 6x
————-
6 6
-1/2 = x
3. 5 + 3(q - 4) = 2(q + 1)
5 + 3q - 12 = 2q + 2
-7 + 3q = 2q + 2
+7 +7
3q = 2q + 9
-2q -2q
Q = 9
4. 7x - 4 = -2x + 1 + 9x - 5
7x - 4 = 7x - 4
-7x -7x
-4 = -4
+4 +4
0 = 0
Infinite answers
5. 8x + 6 - 9x = 2 - x -15
-x +6 = - 13 - x
+ x +x
6 = -13
No solution
Answer:
10.5%
Step-by-step explanation:
The tangent of the angle is the ratio of rise to run.
tan(angle) = grade
tan(6°) ≈ 0.105 = 10.5%
The grade will be 10.5% for an angle of elevation of 6°.