Answer:
370 million
Step-by-step explanation:
In the 10 years from 2000 to 2010, the population was multiplied by the factor ...
100% + 9.6% = 109.6% = 1.096
In the next 20 years from 2010 to 2030, the population will be multiplied by that factor twice, if it grows at the same rate:
2030 population = (308 million)·(1.096²) ≈ 370 million
Answer:
Part 1)
Projection of vector A on vector B equals 19 units
Part 2)
Projection of vector B' on vector A' equals 35 units
Step-by-step explanation:
For 2 vectors A and B the projection of A on B is given by the vector dot product of vector A and B
Given

Similarly vector B is written as

Thus the vector dot product of the 2 vectors is obtained as

Part 2)
Given vector A' as

Similarly vector B' is written as

Thus the vector dot product of the 2 vectors is obtained as

B. is the correct statement.
Hope that helps you
<span>y=a((x-h)^2)+k
Vertex=(h,k)
1. Vertex (5,-1) Point (2,4)
y=a((x-5)^2)+(-1)
f(2)=4
4=a((2-5)^2)+(-1)
4=a(-3)^2-1
4=a*9-1
5=a*9
5/9=a
y=(5/9)((x-5)^2)-1
2. Vertex (-2,0) Point (-1,-7)
y=a((x+2)^2)+0
y=a((x+2)^2)
f(-1)=-7
-7=a(-1+2)^2
-7=a(1)^2
a=-7
y=-7(x+2)
(x-h)^2=4(d)(y-k)
3. Vertex (0,0) Focus (0,2)
d=f-v
d=2
(x^2)=4(2)(y)
(x^2)=8y
f(0)=0
4. Focus (-3,4) Directrix y= -2
(x-h)^2=4(d)(y-k)
d=(4-(-2))/2=6/2=3
(x-h)^2=4(3)(y-k)
h=-3
k=(-2+4)/2=(2)/2=1
(x+3)^2=4(3)(y-1)
(x+3)^2=12(y-1)</span>
Answer:
D.
inches.
Step-by-step explanation:
We have been given that the circle with center O has a minor arc BSA with a length of
inches. The central angle is 40°.
To find the circumference of circle we will use formula:
, where
= measure of 360 degrees in radians and
= circumference of circle.
Let us convert measure of central angle into radians.
Upon substituting our given value in the formula we will get,

Cross multiplying we will get,

Hence, the radius of our circle is 27/4 inches.
Since the circumference of circle is
. Upon substituting
we will get,

Therefore, circumference of our given circle will be
inches and option D is the correct choice.