Answer:
The ratio between two values A and B is just the quotient between these two values:
ratio = A/B
a) $280 in 7m
Here the ratio is:
$280/7m = $40/m
This also can be read as:
$40 per meter.
b) 105 miles in 2 hours
Here the ratio is:
105mi/2h = 52.5 mi/h
This also can be read as:
52.5 miles per hour
c) $33 for 5lb
The ratio is:
$33/5lb = $6.6/lb
This can be read as:
$6.6 per pound.
d) 50 pages in 2 hours
the ratio is:
(50 pages)/2h = 25 pages/h
this can be read as:
25 pages per hour.
Answer:
The volume of the carton is 5 1/3 cubic feet
Step-by-step explanation:
A carton has a length of 2 2/3 feet, width of 1 1/3 feet, and a height of 1 1/2.
The dimensions can be rewritten as
Length of carton =2 2/3 = 8/3 converting to improper fraction).
width of 1 1/3 feet = 4/3 feet
and a height of 1 1/2= 3/2 ,feet
volume of the carton = length of the carton × width of the carton × height of the carton
Volume of carton = 8/3 ×4/3 × 3/2
= 96/18 cubic feet
Converting to mixed fractions, we have
96/18= 5 1/3 cubic feet
2^x is the function of the exponential growth.
Hence , 2^1, 2^2/hour = 4, 2^3 = 6/hr... 2^n=2^n at an amassing rate.
Bacteria is one great example to present the exponential growth. <span>Bacteria are single celled microorganisms. They have a simple cell structure than other organisms because they have no nucleus and no cell membrane. Their control center containing the genetic information si contained in a single loop of DNA. </span>
Answer:
The answer to your question is a) (f°g)(x) = 4x² + 2
b) (f + g)(x) = 4x² + x + 2
c) (f - g)(-3) = -37
Step-by-step explanation:
Data
f(x) = x + 2
g(x) = 4x²
a) Calculate (f°g)(x)
Just sum the function
(f°g)(x) = (4x²) + 2
-Simplification
(f°g)(x) = 4x² + 2
b) (f + g)(x)
(f + g)(x) = x + 2 + 4x²
-Simplification
(f + g)(x) = 4x² + x + 2
c) (f - g)(-3)
-Calculate (f - g)(x)
(f - g)(x) = x + 2 - 4x²
-Simplify
(f - g)(x) = -4x² + x + 2
-Evaluate in (-3)
(f - g)(-3) = -(4)(-3)² + (-3) + 2
-Simplification
(f - g)(-3) = -4(9) - 3 + 2
-Result
(f - g)(-3) = -36 - 3 + 2
(f - g)(-3) = -37
