Answer:
The equation has one solution.
Step-by-step explanation:
6x + 35 = -6x - 35
subtract 6x from both sides of the equation
35 = -35 - 12x
add 35 to both sides of the equation
70 = -12x
divide -12x on both sides of the equation
x = 5.833333333
Your answer would be 8 Hammond per minute. Hope this helps!
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
Answer:
x= 2.73cm
<u>1cm : 0.6828 = 4cm : 2.73cm</u>
For the same angle we just work out 1cm first.
a^2+ b^2= c^2
0.82^2 + b^2 = 1^2 = changing to units 10
6.724 + b^2 = 10
10-6.724 = 2.276
Then x 3 and change units down by 10= 0.6828
Step-by-step explanation:
Below shows why we must convert to mm from cm
a^2+ b^2= c^2
0.82^2 + b^2 = 1^2 =
0.6724 + b^2 = 1
1 - 0.6724 = b = 0.2276
0.2276 x 3 = 0.6828 cm
