Answer : domain: {x | x is a real number}; range: {y | y >- 8}
the domain and range of 
For exponential function , there is no restriction for x
So domain is all real numbers
For exponential function , 
The range is y > b
The range of
is y> -8
domain: {x | x is a real number}; range: {y | y > –8}
Answer/Step-by-step explanation:
The ratio of the enlargement to the original = A'E' to AE = A'E':AE = A'E'/AE
AE = 2.5
A'E' = 4
Ratio of the enlargement to the original = 4:2.5 = 1.6:1
To convert to percentage, divide 4 by 2.5 and multiply by 100.



Answer:
Jude is not correct
Step-by-step explanation:
The volume of a square pyramid is given as:

where a = base edge and h = height
Hence, the volume of the square pyramid with base edge of 7 in and height of 7 in is:

V =
≅ 
The volume of a cylinder is given as:

where r = radius and h = height
Hence, the volume of a cylinder with radius of 7 in and height of 7 in is:

V =
≅ 
Since their volumes are not equal, Jude is not correct.
Answer:
Height of the kite from the ground is 29.2 feet.
Step-by-step explanation:
For better explanation of the solution, see the figure attached :
The angle formed by the height of kite to that of the surface of the ground is right angle.
⇒ m∠ABC = 90°
Let angle of elevation be θ
Now, to find height of the kite : find length of AB
In right angled triangle ABC , using tan rule, we have
Hence, Height of the kite from the ground is 29.2 feet.
P(A) =0.54
P(B)= 0.68
P'(A)= 1-0.54 = 0.46
P'(B)= 1- 0.68 = 0.32
The probability of neither of both event will occur:
= P'(A)×P'(B)
=0.46 × 0.32
=0.1472