Rosita and Garth are saving up for a vacation, and begin with a certain amount saved each. If Rosita works 5 hours, she will hav
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By definition, the perimeter of a square is given by:
Where,
L: length of the sides of the square.
When the sides of the square are tripled, the equation changes as follows:
Then, rewriting the equation we have:
Where,
P: perimeter of the original square.
Therefore, we can conclude that the perimeter is tripled.
Answer:
The perimeter of the square is tripled.
Answer:
a) The function is exponential
c) The function increases by a factor of 2.5 for each unit increase in x.
d) The domain of the function is all real numbers.
Step-by-step explanation:
Exponential functions are written y = a(b)ˣ.
<u>a) the function is exponential is </u><u>true</u><u>.</u>
"a" represents the initial value, or the y-intercept.
"b" represents the rate of increase or decrease.
"x" and "y" represent points on the function.
Since a = 3, the initial value is 3.
<u>b) The initial value of the function is 2.5 is </u><u>false</u><u>.</u>
Since b = 2.5, the rate of change is 2.5
<u>c)The function increases by a factor of 2.5 for each unit increase in x is </u><u>true</u><u>.</u>
When you graph the function, (see graph below), you can see the information clearly.
The domain means how far the graph will go left to right. The graph will continue left to negative infinity, and will continue to the right to positive infinity. This make the domain all real numbers.
<u>d)The domain of the function is all real numbers is </u><u>true</u><u>.</u>
<u />
The range is how far up or down the graph will reach. Exponential functions have a horizontal asymptote, which is where the graph gets very close to touching a horizontal line, but never will. The asymptote is on the left of the y-axis. The range is all real numbers greater than 0.
<u>e)The range of the function is all real numbers greater than 3 is </u><u>false</u><u>.</u>
"3" is the initial value, but the graph extends behind the y-axis too.
Answer:
a) 0.68
b) 0.08
c) 0.74
Step-by-step explanation:
Given that:
Probability of hitting bulls eye, P(B) = 0.26
Probability of an inner, P(I) = 0.42
Probability of an outer, P(O) = 0.24
a) Probability of hitting an inner or better (inner or bulls eye):
P(I or B) = P(I B)
Formula for P(P Q) where P(P) and P(Q) are the probabilities of two mutually exclusive events i.e. having nothing in common:
<em>P(P </em><em> Q) = P(P) + P(Q)</em>
P(I B) = P(I) + P(B) = 0.26 + 0.42 = <em>0.68</em>
b) Probability of failing to hit the target:
P(F) = 1 - (P(B)+P(I)+P(O))
P(F) = 1 - (0.26 + 0.42 + 0.24)) = 1 - 0.92 = <em>0.08</em>
c) Probability of failing to score a bulls eye:
P(B)' = 1 - P(B) = 1 - 0.26 = <em>0.74</em>
So, the answers are:
<em>a) 0.68</em>
<em>b) 0.08</em>
<em>c) 0.74</em>