Answer:
There are four (4) basic properties of real numbers: namely; commutative, associative, distributive and identity. These properties only apply to the operations of addition and multiplication. That means subtraction and division do not have these properties built in.
Step-by-step explanation:
Answer: Graph first and fourth.
Step-by-step explanation:
If a function is reflected through line y=x,, we obtained an inverse function of that function.
In first graph,
The function is reflected through line y = x,
Hence, in this graph we obtained inverse functions.
In second graph,
The function is shifted horizontally,
This is why we did not get an inverse function.
In third graph,
The function is reflected through x-axis,
This is why we did not get the inverse of the function.
In fourth graph,
The function is reflected through line y = x,
Hence, in this graph we obtained inverse functions.
Answer:
a(11) = 4^10 = 1048576
Step-by-step explanation:
The first term of this geometric sequence, a(1), is 1, and the common ratio, r, is 4. Each new term is 4 times the previous term. Thus,
a(n) = 1*4^(n - 1), and
a(11) = 4^10 = 1048576
Answer:
5%
Step-by-step explanation:
As given,
The population of the town increased from 175000 to 262500 in a decade.
⇒ In 10 years , population increased from 175000 to 262500
⇒% increase =
× 100% =
×100% = 0.5×100% = 50%
Now,
Average % increase =
=
% = 5%
∴ we get
Average percent increase of population per year = 5%
Answer: There are 4 matches that are expected to lose by a soccer team.
Step-by-step explanation:
Since we have given that
Probability that a soccer team wins = 65%
Probability that a soccer team ends in a draw = 15%
Total probability we get

Probability that matches are expected to lose is given by

Since number of matches is scheduled to play = 20
Number of matches expected to lose is given by

Hence, there are 4 matches that are expected to lose by a soccer team.