Each friend will get approximately 66.6 centimeters of taffy
Answer:
You would have approximately 201 insects.
Step-by-step explanation:
To calculate the final population of the insects, you need to first insert the values of each variable you know into the equation. The initial population at time
would be 100 insects, the rate of population growth coverted to decimal form would be 0.1, and the elapsed time since time
is 7 days. Now the new equation would be
.

⇒
≈ 
⇒
≈ 
You will have 201 insects in 7 days (rounded to the nearest insect).
Answer: C
Step-by-step explanation:
A function only exists if each x-value has only one possible y-value.
C is the only function because each x-value has only one y-value.
The other answer choices have x-values that have multiple y-values. In answer choice A, it has (2,9) and (2,8). In answer choice B, the set has (1, 0) and (1,2). And in answer D, it has (1,3) and (1,2)
Answer:
5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4
Step-by-step explanation:
The Associative Property is applied to two types of operations: addition and multiplication. This property indicates that, when there are three or more terms in these operations, the result does not depend on the way in which the terms are grouped.
In this sense, the associative property for the sum is mathematically given by:

and for the multiplication by:

Now, let:

Using the Associative Property of Multiplication:

Therefore the equivalent expressions are:
5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4