Answer:
48.7 cube inches
Step-by-step explanation:
Let us assume that the ice cream filled the entire volume of the cone.
Diameter of cone = 4 inches
height of cone = 7 inches
diameter of a sphere of ice cream = 5 inches
Total amount of ice cream = volume of cone + volume of sphere
volume of cone = ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
![\pi](https://tex.z-dn.net/?f=%5Cpi)
h
r = ![\frac{diameter}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bdiameter%7D%7B2%7D)
=
= 2 inches
volume of the cone =
x
x
x 7
=
x
x 4 x 7
= 29.3333 cube inches
volume of sphere =
![\pi](https://tex.z-dn.net/?f=%5Cpi)
![r^{3}](https://tex.z-dn.net/?f=r%5E%7B3%7D)
r = ![\frac{diameter}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bdiameter%7D%7B2%7D)
=
= 2.5 inches
volume of sphere ice cream =
x
x ![(\frac{5}{2} )^{3}](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B2%7D%20%29%5E%7B3%7D)
=
x
x ![\frac{125}{27}](https://tex.z-dn.net/?f=%5Cfrac%7B125%7D%7B27%7D)
= 19.40 cube inches
So that,
Total amount of ice cream = 29.33 + 19.40
= 48.7 cube inches
For 0 it will equal 1 because anything to the 0th power is 1 except 0 to the 0.
For 2, It will equal for because when you raise a fraction to the negative power you flip it and that gets rid of the negative number so then you will have 2 to the second and you will get 4.
f (0) = 1, f (2) = 4
First time 23 words
after week 26 words
after two weeks 29 words
so after 1 week Alfred is faster on 3 words
so after 4 weeks he could type 35 words per minute
They are abstract "word" problems, offered for the purpose of giving the
student of high school mathematics valuable practice in the application
and manipulation of the concept of "percent".
Often, some time spent in solving practice-examples such as these can
lead to the phenomenon known as "learning", whereby the student comes
to know, understand, and possess competence in a topic where he or she
was previously ignorant and incompetent.
It is important to realize that the practice is the vital component in the process,
whereas the answers alone have no value at all.
Answer:
t=4h
Steps below
Step-by-step explanation:
We know:
speed of boat with respect to earth: 13 km
speed of stream with respect to earth: 4 km
13 km/h + 4 km/h = 17 km/h The time to travel 68 km with this speed is thus t = 68 km 17 km h = 4 h
<em><u>Hope this helps.</u></em>