Answer:
The answer to your question is below
Step-by-step explanation:
pH definition
pH = - log [H⁺]
a) For pH = 2.4, solution A
2.4 = -log[H⁺]
[H⁺] = antilog⁻².⁴
[H⁺] = 0.00398
For pH = 9.4, solution B
[H⁺] = antilog⁻⁹.⁴
[H⁺] = 3.98 x 10⁻¹⁰
b) Divide hydrogen-ion concentration of solution A by hydrogen-ion concentration of solution B.
0.00398 / 3.98 x 10⁻¹⁰
10000000 times
c) By 7, because 7 is the number of zeros
322/340=0.805
rounded to a percentage would be 81%
Answer:
Step-by-step explanation:
The equation for a tangent line of f(x) in the point (a,f(a)) can be calculated as:
L(x) = f(a) + f'(a)(x-a)
Where L(x) is also call a linear approximation and f'(a) is the value of the derivative of f(x) in (a,f(a)).
So, the derivative of f(x) is:
Then, to find the linear approximation we are going to use the point (16, f(16)). So a is 16 and f(a) and f'(a) are calculated as:
Then, replacing the values, we get that the equation of the tangent line in (16,4) is:
Finally, the approximation for is:
Answer:
14 feet or 182 feet
Step-by-step explanation:
Let the height of the pole be x
Distance from the bottom of the pole to the anchor point = (x - 62)
Length of the wire = (36 + x)
From Pythagoras theorem;
(36 + x)2 = + (x - 62) 2
1296 + 72x + x2 = x2 + x2 - 124x + 3844
collecting like terms;
72x + 124x + x2 - 2x2 + 1296 - 3844 = 0
196x - x2 - 2548 = 0
Rearranging the quadratic equation;
x2 - 196x + 2548 =0
(x−14)(x−182)=0
x = 14 feet or 182 feet
Hence, the height of the pole is 14 feet or 182 feet