First Way:
7: 10am to 8:00am = 50 mins
8:00am to 8:15am = 15 mins
Total = 50 min + 15 min = 65 mins = 1 hour 5 mins
Second Way:
7: 10am to 8:10am = 1 hour
8:10am to 8:15am = 5 mins
Total = 1 hour + 5 mins = 1 hour 5 mins
Answer : 1 hour 5 mins
Answer:
a. Ratio of their circumference = 2:3
b. The ratio of their surface areas = 2:3
c. The ratio of their volume = 4:9
Step-by-step explanation:
Let the cylinders be labelled as A and B respectively.
Diameter of cylinder A = 6 in,
its radius =
=
= 3 in
Diameter of cylinder B = 9 in,
its radius =
=
= 4.5 in
Thus,
a. circumference of a circle = 2
r
Circumference of cylinder A = 2
r
= 2 x
x 3
= 6
in
Circumference of cylinder B = 2
r
= 2 x
x 4.5
= 9
Ratio of their circumference = 
= 
= 2:3
b. The surface area of a cylinder = 2
rh
the surface area of cylinder A = 2
rh
= 6
h
the surface area of cylinder B = 2
rh
= 9
h
The ratio of their surface areas = 
= 
= 2:3
c. Volume of a cylinder = 
h
volume of cylinder A = 
h
=
x
x h
= 9
h
volume of cylinder b = 
h
=
x
x h
= 20.25
h
The ratio of their volume = 
= 
= 4:9
Function Composition exists when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). For function composition h(x) = f(g(x)), the value of a exist -4.
<h3>
What is function Composition?</h3>
Function Composition exists when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). In other words, put the outcome of one function into the other one.
Here, h(x) = f(g(x))
which means, h(x) = f(x³+ a)


To estimate the value of a, we separate equal terms:
1) Both are squared, so we can "eliminate" the square;
2) x³ = x³
3) -2 = a+2
a = -4
For function composition h(x) = f(g(x)), the value of a exist -4.
To learn more about function composition refer to:
brainly.com/question/17299449
#SPJ4
Answer:
a. $2.18
b. $15.60
Step-by-step explanation:
a. Price per pound of American cheese = $4.35 / 0.75 = $5.8
Price per pound of Swiss cheese = $7.98
Difference in price per pound = $7.98 - $5.8 = $2.18
b. Total amount spent on swiss cheese = $7.98 x 2.5 = $19.95
Amount spent more on Swiss cheese than on American cheese = $19,95 - $4.35 = $15.60