Answer:
The ones that give a rational number answer are:
C+D
A*B
C*D
A*A
Step-by-step explanation:
A+B does not give a rational number answer; √3+2√3 = 3√3
C+D is a rational number; √25=5 and √16=4; 5+4=9.
A+D is not a rational number; √3+√16 = √3+4
A*B is a rational number; √3*2√3 = 2√9 = 2*3 = 6
B*D is not a rational number; 2√3*√16 = 2√3*4 = 8√3
C*D is a rational number; √25*√16 = 5*4 = 20
A*A is a rational number; √3*√3 = √9 = 3
Not sure, can you elborate?
Answer:
This is the concept of application of exponential growth, suppose in 1990 time,t=0 and in 1990 time,t=9. Using the exponential growth formula given by:
f(t)=ae^(kt)
thus substituting the value we get:
40=37e^(9k)
this can be written as:
(40/37)=e^(9k)
introducing the natural logs we get:
ln(40/37)=9k
hence;
k=1/9ln(40/37)=0.0087
Therefore our formual will be given by:
f(t)=37e^(0.0087t)
N/B: The population is in millions. Thus to get the population in 2016 we shall proceed as follows;
t=26
thus
f(t)=37e^(26*0.0087)
f(t)=46.35 million
Step-by-step explanation:
Option C:
{x: –1 < x < 7}
Solution:
Given expression is (x – 2 < 5) ∩ (x + 7 > 6).
Let us first solve the inequality.
First inequality:
⇒ x – 2 < 5
Add 2 on both sides of the expression.
⇒ x – 2 + 2 < 5 + 2
⇒ x < 7
Second inequality:
⇒ x + 7 > 6
Subtract 7 on both sides of the expression.
⇒ x + 7 – 7 > 6 – 7
⇒ x + 7 – 7 > 6 – 7
⇒ x > –1
Now to find the intersection of these inequalities.
(x – 2 < 5) ∩ (x + 7 > 6) = (x < 7) ∩ (x > –1)
= (x < 7) ∩ (–1 < x)
= –1 < x < 7
Thus, option C is the correct answer.
(x – 2 < 5) ∩ (x + 7 > 6) = {x: –1 < x < 7}
Answer: hi
Step-by-step explanation: