Answer:
Consider lining up all the blue marbles and placing one red marble in between them. Let that arrangement be fixed. The remaining red marbles will be 5 red marbles. Note that the arrangement will be:
x BR x BR x BR x BR x BR x BR x BR x B x
Note that this is the same even if our arrangement is
x B x RB x RB x RB x RB x RB x RB x RB x
Note that there are 9 spots, denoted by x, where we can put the 5 remaining red marbles. To find the number of ways of putting the remaining 5 red marbles to x, it is similar in finding the number of non-negative solution for the equation
which is given by
= 1287
Hence, there are 1287 ways of arranging 8 blue marbles and 12 red marbles without placing 2 blue marbles next to each other.
Answer:
-3 x 10
Step-by-step explanation:
Because there are 10 questions, all wrong taking away 3 points
is the expression Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.
Given that, Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.
We need to determine the expression did Devonte use.
<h3>What is the formula of change of base formula?</h3>
The change of base formula says . It means to change the base of a logarithm logb b a, we just use division where these logarithms can have any positive number as a base.
Now, log Subscript 8 Baseline 25
Therefore, is the expression Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.
To learn more about the logarithms visit:
brainly.com/question/20785664.
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Answer:
6
Step-by-step explanation:
Use the given functions to set up and simplify f(-3).