To find slope use the equation (y2 - y1) / (x2 - x1)
5 - 4 / 2--2
1/-4
The slope is -1/4
Hope this helps :)
Answer:
10 ≥ w ≥ 9 ( ? )
Step-by-step explanation:
the probability that a Great blue heron is at least 9 pounds, but no more than 10 pounds -> w= weight of great blue heron
w is at lest 9 pound's -> w ≥ 9
w is no more than 10 pound's -> w ≥ 10
w ≥ 9 ( + ) w ≥ 10 = 10 ≥ w ≥ 9
Answer:
a[n] = a[n-1]×(4/3)
a[1] = 1/2
Step-by-step explanation:
The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.
The general explicit term of a geometric sequence is ...
a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio
Comparing this to the expression you are given, you see that ...
a[1] = 1/2
r = 4/3
(You also see that parenthses are missing around the exponent expression, n-1.)
A recursive rule is defined by two things:
- the starting value(s) for the recursive relation
- the recursive relation relating the next term to previous terms
The definition of a geometric sequence tells you the recursive relation is:
<em>the next term is the previous one multiplied by the common ratio</em>.
In math terms, this looks like
a[n] = a[n-1]×r
Using the value of r from above, this becomes ...
a[n] = a[n-1]×(4/3)
Of course, the starting values are the same for the explicit rule and the recursive rule:
a[1] = 1/2
B. its 1/2 of the original volume, because the pyramid is doubled the height and, the length and width are cut in half. It would equal 1/2 the volume of the original pyramid.
