We have been given that Judy’s brother Sam has a collection of 96 comic books.
We have been asked to find the 10 ways Sam could divide his comic books into equal groups.
This can be done as follows:
96 can be written as .
Thus, we can either have 2 groups of 48 comics or 48 groups of 2 comics. As we can see we have 2 ways to divide the comic books in equal groups.
Likewise, 96 can also be written as . Here, we can similarly see that we can either have 3 groups of 32 comics or 32 groups of 3 comics. As we can again see we have 2 more ways to divide the comic books in equal groups, taking the total number of ways to 4.
Continuing in this manner we will see that we can have 4 groups of 24 or 24 groups of 4, 6 groups of 16 or 16 groups of 6 and lastly 12 groups of 8 or 8 groups of 12 comic books, thus taking the count to a total of 10 ways in which Sam can divide his comic books into equal groups.
Answer:
Step-by-step explanation:
12.5z - 6.4 =-8z + 3(1.5z - 0.5)
12.5z - 6.4 = - 8z + 4.5z - 1.5
12.5z - 6.4 = - 3.5z - 1.5
Bringing like terms on one side
12.5z + 3.5z = - 1.5 + 6.4
16z = 4.9
z = 4.9/16
She improved about 4.3 words per min each week
Answer:
Differential equation

Solution

Value of constant k=0.327 days^(-1)
The rumor reaches 80% at 8.48 days.
Step-by-step explanation:
We know
y(t): proportion of people that heard the rumor
y'(t)=ky(1-y), rate of spread of the rumor
Differential equation

Solving the differential equation

Initial conditions:

Value of constant k=0.327 days^(-1)
At what time the rumor reaches 80%?

The rumor reaches 80% at 8.48 days.
That’s all correct thanks