Answer:
b. -3
Step-by-step explanation:
9(2x+1) < 9x-18
(distribute the 9)
18x+9 <9x-18
(subtract 9 from both sides)
18x<9x-27
(subtract 9x from both sides)
9x<-27
(divide both sides by 9)
x<-3
Bob need to paint 205 square feet.
Solution:
Length of the door = 7 ft
Breadth of the door = 5 ft
Area of the door = length × breadth
= 7 × 5
= 35
Area of the door = 35 ft²
The given image is a trapezoid.
Top base = 12 ft
Bottom base = 20 ft
Area of the trapezoid = 


= 240
Area of the trapezoid = 240 ft²
Surface area to paint = Area of the trapezoid – Area of the door
= 240 ft² – 35 ft²
= 205 ft²
Hence Bob need to paint 205 square feet.
Answer:
0.5578
Step-by-step explanation:
Fingerprint correctly match 92 % of the time.
A novice that will correctly identify a match 75% the time.
Each of the attempts of matching a fingerprint with the individual is independent.
The number of pairs are 7.
a). So the probability that the expert will identify every pair correctly is
= 0.92 x 0.92 x 0.92 x 0.92 x 0.92 x 0.92 x 0.92= 0.927 = 0.5578
Answer: f(-3) = -27 & f(3) = 27
Step-by-step explanation:
(-3)^3
-27
(3)^3
27
Answer:
slope of n =⅔
Step-by-step explanation:
The product of the slope of two perpendicular lines(m1•m2) must equal -1.
This means that if you have the slope of one line,find it's negative reciprocal to obtain the slope of the other.
Thus,-1/(-3/2)=⅔