Answer: Third option.
Step-by-step explanation:
You know that the drawbridge rises at a rate of 
feet per minute. This means that the drawbridge rises in a minutes.
Convert from mixed fraction to decimal number:
Since the drawbridge rises to a height of 50 feet, you need to apply this procedure in order to find the time the drawbridge takes to completely rise:
or 
Part A
The exponential model that describes the situation
The formula is
Y (x)=400 (1+0.02/4)^4x
Y (x)=400 (1+0.005)^4x
Y (x)=400 (1.005)^4x
Where x is the number of years
Part B
The value of the account after 5 years
Y (5)=400×(1.005)^(4×5)
Y (5)=441.96
A. 2(l)+2(w)=P
B. lw=A
C. 2(14) + 2(8) = P
28 + 16 = P
44 = P
D. Im going to assume the rectangle shown is the same as C...
14 x 8 = A
112=A
Hope this helps!
Answer: - 49
Step-by-step explanation:
f(x) = -2x - 1
g(x) = 
- 1
fg(x) = f ( - 1) , we just put in the value of g(x) , the next thing is to substitute - 1 for the value of x in f(x) , that is
fg(x) = -2( - 1) - 1
fg(x) = -2 + 2 - 1
fg(x) = -2 + 1
Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is
fg(-5) = -2 (
+ 1
fg(-5) = -2(25) + 1
fg(-5) = -50 + 1
fg(-5) = -49
The surface area of the right triangular prism is 270 sq ft
<h3>Total surface ara of the prism</h3>
The total surface area of the prism is the sum of all the area of its faces
For the two triangles
A = 2(0.5bh)
A = bh
A = 7 * 12 = 84 sq.ft
For the two rectangles
A = 2lw
A = 2(6*12)
A = 2 * 72 = 144 sq.ft
For the third triangle;
Area 6ft * 7ft
Area = 42 sq.feet
Taking the sum of the areas
TSA = 84 + 144 + 42
TSA = 270 sq ft
Hence the surface area of the right triangular prism is 270 sq ft
Learn more on surface area of prism here; brainly.com/question/1297098
