Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>The base of the growth rate is:</u>
It represent a 1.6% of growth per year.
A.
B.
<u>p(55) = 7.42 means:</u>
- 55 years after 1963, in the year 2018, the population of Earth is 7.42 billions
We have to simplify the expression here. The expression given,

Now to find
we will use power of a product property. We have to distribute the power here. We will get,

= 
Now we will use power of a power property. If given
we will have to multtiply the powers and we will get
. So we will get here,

Now the next part is 
By using power of a power property we will get,

Now we have to multiply them.

Now we have to use product of powers property. If we have same base them we will have to add the exponents there. The formula is
. So we will get here,


So we have got the required simplified answer here.
The simplified answer is
.
Answer:
The angle bisector is construct.
Step-by-step explanation:
We used the geogebra.org site. We first constructed a large triangle with acute angles. Then from point A we made a semicircular section to its sides. At the intersection of the sides and the semicircular section, we construct two circles so that they intersect. Then from the point A we draw a line through the intersection of the circles and thus we obtain the bisector of the angle.
We repeat the same procedure for point B and for point C. In this way, we obtain a bisector for all angles of a triangle.
Answer:
Slope = 4
Step-by-step explanation:
Change in Y = 4
Change in X = 1
Slope = Δy/Δx = 4/1 = 4
Problem 9
The instructions aren't stated anywhere, but I'm assuming your teacher wants you to find the equation of each parabola.
The vertex here is (h,k) = (-6,-4) which you have correctly determined.
This means

Next we plug in one of the other points on the parabola. We cannot pick the vertex again. Let's pick the point (-4,0) which is one of the x intercepts. We'll do this to solve for 'a'

This means

represents the equation of the parabola in vertex form.
<h3>Answer:

</h3>
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Problem 10
The vertex is (h,k) = (-2,-6)
So,

Now plug in another point on the parabola like (-1,-8) and solve for 'a'

<h3>Answer:

</h3>
For each equation, you could optionally expand things out to get it into y = ax^2+bx+c form, but I think it's fine to leave it as vertex form.