Answer:
A
Step-by-step explanation:
In the figure attached, the complete question is shown.
We have to transform all the fractions to new fractions with the same denominator, as follows:
1/8 *4/4 = 4/32
-3/16 *2/2 = -6/32
-1/4 *8/8 = -8/32
1/32
5/32
-1/16 *2/2 = -2/32
Now we can order the list simply comparing numerators:
-8/32, -6/32, -2/32, 1/32, 4/32, 5/32
or
-1/4, -3/16, -1/16, 1/32, 1/8, 5/32
Taking the derivative of 7 times secant of x^3:
We take out 7 as a constant focus on secant (x^3)
To take the derivative, we use the chain rule, taking the derivative of the inside, bringing it out, and then the derivative of the original function. For example:
The derivative of x^3 is 3x^2, and the derivative of secant is tan(x) and sec(x).
Knowing this: secant (x^3) becomes tan(x^3) * sec(x^3) * 3x^2. We transform tan(x^3) into sin(x^3)/cos(x^3) since tan(x) = sin(x)/cos(x). Then secant(x^3) becomes 1/cos(x^3) since the secant is the reciprocal of the cosine.
We then multiply everything together to simplify:
sin(x^3) * 3x^2/ cos(x^3) * cos(x^3) becomes
3x^2 * sin(x^3)/(cos(x^3))^2
and multiplying the constant 7 from the beginning:
7 * 3x^2 = 21x^2, so...
our derivative is 21x^2 * sin(x^3)/(cos(x^3))^2
In a triangle, the three interior angles always add to 180°
m∠B = 180 - 30 - 80 = 70°
<span>D: 70</span>
Answer:
136.74
Step-by-step explanation:
6 percent of $129 is $7.74
129 plus 7.74 = 136.74
Answer:
7
Step-by-step explanation:
12-7=5
or
5+7=12
