Answer:
5
Step-by-step explanation:
You <em>multiply</em> the number of people by the number of each slices each person gets. Which is 100; 50x2.
Each cake has 20 slices so you <em>divide</em> 100 by 20. Which equals 5.
It would take 5 cakes to feed all 50 people 2 slices each.
<em>Hope this helps</em>. :)
Twelve and three hundred seveny-five
This is easy since you are already given the binomials. Just multiply them together.
(3x + 3)(3x + 3)
9x^2 + 9x + 9x + 9
9x^2 + 18x + 9.
The coefficient of term b is 18, so B = 18
<u>Given</u>:
The given triangle is a right angled triangle.
The length of the hypotenuse is 17 units.
One of the legs of the triangle measure x units.
The one of the angles of the right triangle is 60°
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting 
, 
and 
in the above formula, we get;
Multiplying both sides of the equation by 17, we get;
Simplifying, we get;
Multiplying, we get;
Rounding off to the nearest tenth, we get;
Thus, the value of x is 14.7
Using Taylor expansion, show that
f0
(x0) = f(x0 + h) − f(x0)
h − h
2
f00(ξ),
for some ξ lying in between x0 and x0 + h.
Solution: We expand the function f in a first order Taylor polynomial around x0:
f(x) = f(x0)+(x − x0)f0
(x0)+(x − x0)
2 f00(ξ)
2 ,
where ξ is between x and x0. Let x = x0 + h:
f(x0 + h) = f(x0) + hf0
(x0) + h2
2 f00(ξ).
Solving for f0
(x0), we obtain:
f0
(x0) = f(x0 + h) − f(x0)
h − h
2
f00(ξ)
