The correct option regarding the system of equations is given as follows:
B. The solution is nonviable because the time cannot be negative.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The systems use linear equations, and the solution is the intersection of the lines. In this problem, the curves intersect at (-4,0), that is, they have the same percentage at a time of -4 seconds, which is nonviable, as the time cannot be negative, hence option B is correct.
More can be learned about a system of equations at brainly.com/question/24342899
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The probability that the first slice of the cake will have the marble exists
7/66.
<h3>How to determine the probability using parts A and B?</h3>
Part A of the question demands that the volume of the cake be
estimated.
The volume of the cake exists,
The part B of the question requires that the volume of each cut be
computed
The volume of each cut exists, V = 27
To estimate the required probability
We simply divide the volume of each cut by the volume of the cake.
Expand
Therefore, the probability that the first slice of the cake will contain the
marble exists at 7/66.
To learn more about probability refer to:
brainly.com/question/24756209
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Answer:
A) 10, 013/6
Step-by-step explanation:
The given arithmetic sequence {an } = {5/6 n + 2/3}
We need to find the 62th term, so plug in n = 62 in the above sequence, we get
S62 = {
= {310/6 + 2/3}
= {155/3 + 2/3}
= (155 + 2)/3
S62 = 157/3
Now let's find the first term.
S1 = [5/6 (1) + 2/3]
S1 = [5/6 + 2/3]
S1 = (5 + 4)/6
S1 = 9/6
s1 = 3/2
The sum of the terms S62 = 62(3/2 + 157/3) divided by 2
= 31(9 + 314)/6
= 31(323)/6
= 10, 013/6
So the answer is A)10,013/6
Thank you.
Since -5x is common to both factors, hence the factored form is;
-5x(3y - 5)
<h3>Factoring equation</h3>
Given the exprssion -15xy + 25x
Fing the factors of each term
-15xy = -5 * 3 * x * y
25x = 5 * 5 * x
Since -5x is common to both factors, hence the factored form is;
-5x(3y - 5)
Learn more on factored form here: brainly.com/question/43919
Since the matrices have different dimensions, it is not possible to calculate the expression...
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