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Anna35 [415]
3 years ago
12

Find the 12th term of the following geometric sequence. 3, 12, 48, 192

Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0
12th term is 12,582,912
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Give the equations of 3 lines that are parallel to the line with the equation y=3x+2
ruslelena [56]
Y= 3x + 1
Y = 3x + 3
Y= 3x + 4
6 0
2 years ago
What are the values of m and n in the matrix addition below?
Aleksandr [31]

ANSWER

The correct answer is m=45,n=12.

<u>EXPLANATION</u>

We were given the matrix equation;

\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


We must first simplify the Left Hand Side of the equation by adding corresponding entries.


\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


That is;


\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].

Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.


This implies that;


n-2=10


We got this equation from row one-column one entry of both matrices.


n=12


Also, the row three-column three entries of both matrices will give us the equation;


m-5=40


m=45


Hence the correct answer is m=45,n=12.


The correct option is option 2






6 0
3 years ago
Write the number in expanded form 637
Alexxandr [17]
600+30+7 if that is what you meant...
4 0
3 years ago
Read 2 more answers
Given that x is a normally distributed random variable with a mean of 50 and a standard deviation of 2, find the probability tha
Shkiper50 [21]

Let X be the normal variable with mean μ =50 and standard deviation σ =2

We have to find probability that x is between 47 and 54

P(47 < X < 54) = P(X < 54) - P(X < 47)

= P(\frac{x-mean}{standard deviation} - P(\frac{x-mean}{standard deviation}

= P(Z < 2) - P(Z < -1.5)

Using standard normal z score table to find probabilities we get

P(Z < 2) = 0.9772

P(Z < -1.5) = 0.0668

P(47 < X < 54) = P(Z < 2) - P(Z < -1.5)

= 0.9772 - 0.0668

P(47 < X < 54) = 0.9104

The probability that x is between 47 and 54 is 0.9104

5 0
3 years ago
What is the slope-intercept equation for the following line?
natita [175]

Answer:

Minus 3 (-3), not +

Step-by-step explanation:

The slope intercept or y-intercept is where the line starts from the center. Since a point on the line starts at 0,-3, you pull the y out from the coordinate, because that is your answer. The line starts at -3.

If this is confusing, feel free to ask me to explain further.

4 0
3 years ago
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