Answer: 36.67
Step-by-step explanation
110 of 300 can be written as:
110
/300
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100
110
/300 × 100
/100
= ( 110 × 100
/300
) × 1
/100 = 36.67
/100
Therefore, the answer is 36.67%
If you are using a calculator, simply enter 110÷300×100 which will give you 36.67 as the answer.
Answer:
The two horiz. tang. lines here are y = -3 and y = 192.
Step-by-step explanation:
Remember that the slope of a tangent line to the graph of a function is given by the derivative of that function. Thus, we find f '(x):
f '(x) = x^2 + 6x - 16. This is the formula for the slope. We set this = to 0 and determine for which x values the tangent line is horizontal:
f '(x) = x^2 + 6x - 16 = 0. Use the quadratic formula to determine the roots here: a = 1; b = 6 and c = -16: the discriminant is b^2-4ac, or 36-4(1)(-16), which has the value 100; thus, the roots are:
-6 plus or minus √100
x = ----------------------------------- = 2 and -8.
2
Evaluating y = x^3/3+3x^2-16x+9 at x = 2 results in y = -3. So one point of tangency is (2, -3). Remembering that the tangent lines in this problem are horizontal, we need only the y-coefficient of (2, -3) to represent this first tangent line: it is y = -3.
Similarly, find the y-coeff. of the other tangent line, which is tangent to the curve at x = -8. The value of x^3/3+3x^2-16x+9 at x = -8 is 192, and so the equation of the 2nd tangent line is y=192 (the slope is zero).
Answer:
Formation of Elements: Protons + Neutrons combine to form the nucleus of an atom (basic unit of matter), electrons (- charge) orbit nucleus attracted to protons (+ charge)
Step-by-step explanation:
6 even areas then shade 2
Let's solve ~
The given triangle is a right angled Triangle, so we can apply Trigonometric relations to find the required result ;
That is :
So, the value of z is 
