Answer:
Step-by-step explanation:
The parent function here is y = log x, where 10 is the base.
The derivative of y = log x is dy/dx = (ln x) / ln 10.
The derivative of y = log (ax+b) is found in that manner, but additional steps are necessary: differentiate the argument ax + b:
The derivative with respect to 10 of log (ax + b) is:
dy/dx = [ 1 / (ax + b) ] / [ ln 10 ] *a, where a is the derivative of (ax + b).
Alternatively, we could express the answer as
dy/dx = [ a / (ax + b) ] / [ ln 10 ]
Answer: 170
Step-by-step explanation: Like I answered before: Angle G and Angle H are consecutive angles, meaning they both add up to 180 degrees. Thus, if 10 is the value of Angle G, Angle H must be 170.
The length of BC is 4.674 m
<u>Explanation:</u>
Given:
Angle A = angle B = 90°
AD = 2.1 m
AB = 1.9 m
CD= 3.2 m
An image is inserted for the reference
According to the figure,
a is the base
b is the height
c is the hypotenuse
Using pythagoras theorm:
a² + b² = c²
a² + (1.9)² = (3.2)²
a² + 3.61 = 10.24
a² = 6.63
a = 2.574
BC = 2.1 + 2.574
BC = 4.674m
Therefore, the length of BC is 4.674 m
Answer: F-23=45
Step-by-step explanation:
The addition property of equality means that if:
A = B
then we can add the same thing in both sides of the equation, and the equality will remain balid, so:
A + C = B + C.
Then, the correct answer is the last option:
if
F - 23 = 45
Then we can add the same number to both sides, we can add 23 to both sides and in this way isolate F:
F - 23 = 45
(F - 23) + 23 = 45 +23 = 68
F + (23 - 23) = 68
F = 68
Answer:
$10
Step-by-step explanation:
The exact number is $11.65 which is closet to $10