Answer:
So the inner function is g(x) = arctan(x) and the outer function is h(x) = e^(x)
Step-by-step explanation:
Suppose we have a function in the following format:
f(x) = g(h(x))
The inner function is h(x) and the outer function is g(x).
In this question:
f(x)=arctan(e^(x))
From the notation above
h(x) = e^(x)
g(x) = arctan(x)
Then
f(x) = g(h(x)) = g(e^(x)) = arctan(e^(x))
So the inner function is g(x) = arctan(x) and the outer function is h(x) = e^(x)
The answer is 6. this is because when you find the range, it's the difference between the highest and the lowest value in the set
The exponent tells us how many times to multiply a base to itself. The base is, of course, the thing that's being multiplied. When we use exponents, we call it "raising to a power". The power equals to the exponent, so in our example, x is raised to a power of 4.
Or u can use this but the first one is better
Learning about exponents helps students think about and understand expressions. ... Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).
Answer:
c. 3/8
Step-by-step explanation:
For each toss, there is a 50/50 probability that it lands on heads or tails. Let T be a tails and H be a heads, the sample space of this experiment is:
S={HHH, HHT ,HTT ,HTH, TTT, TTH, THH, THT}
The experiment has 8 possible outcomes. Only three of those outcomes have exaclty two heads (HHT, HTH, THH). Therefore, the probability of getting exactly two heads is 3/8.
Bob can do a tenth of the roof in an hour
James can do a sixteenth in an hour
Bob can do 16/160 of the roof in an hour
James can do 10/160 of the roof in an hour
Together they do 26/160 of the roof in an hour
160/26 = 6.15 (to 2 d.p.)