Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.
Answer:
see attached
Step-by-step explanation:
The domain is the horizontal extent of the graph. The graph extends to infinity in both directions horizontally (that's what the arrows mean). There are no "holes" because the open circle at x=-1 is matched by a filled circle at the same location.
__
The range is the vertical extent of the graph. The minimum is -3, which is included in the range. The maximum is infinity (as indicated by the up-pointing arrow).
Answer:77
Step-by-step explanation:
Least Common Multiple of 7 and 11 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7 and 11, than apply into the LCM equation.
GCF(7,11) = 1
LCM(7,11) = ( 7 × 11) / 1
LCM(7,11) = 77 / 1
LCM(7,11) = 77
Least Common Multiple (LCM) of 7 and 11 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7 and 11. First we will calculate the prime factors of 7 and 11.
Prime Factorization of 7
Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:
7 = 71
Prime Factorization of 11
Prime factors of 11 are 11. Prime factorization of 11 in exponential form is:
11 = 111
Now multiplying the highest exponent prime factors to calculate the LCM of 7 and 11.
LCM(7,11) = 71 × 111
LCM(7,11) = 77
Answer:
The correct option is;
C) 6554
Step-by-step explanation:
The given data are;
Day, Amount of change in Bacteria
1, 2
2, -8
3, 32
4, -128
Given that the data follows a geometric sequence, we have;
The first term of the series = 2, the common ratio = -4, the sum of a geometric progression is given by the following formula;

Which gives;

Therefore, the correct option is C) 6554.