Answer:
The determinant is 15.
Step-by-step explanation:
You need to calculate the determinant of the given matrix.
1. Subtract column 3 multiplied by 3 from column 1 (C1=C1−(3)C3):
![\left[\begin{array}{ccc}-25&-23&9\\0&3&1\\-5&5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26-23%269%5C%5C0%263%261%5C%5C-5%265%263%5Cend%7Barray%7D%5Cright%5D)
2. Subtract column 3 multiplied by 3 from column 2 (C2=C2−(3)C3):
![\left[\begin{array}{ccc}-25&-23&9\\0&0&1\\-5&-4&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26-23%269%5C%5C0%260%261%5C%5C-5%26-4%263%5Cend%7Barray%7D%5Cright%5D)
3. Expand along the row 2: (See attached picture).
We get that the answer is 15. The determinant is 15.
What are your problems taht I can help with????
Answer:
1/12
Step-by-step explanation:
The probability of first choosing a green marble is 1/4, because there is one green and 4 total.
<u>When you don't replace the green marble,</u> the total number of marbles is now 3, and there is one red marble in the bag. So the second probability is 1/3.
These are independent events, so we multiply them together to get
1/4 * 1/3 = 1/12
To solve this problem, let us first assign some variables.
Let us say that:
d = represents the population density of the circular region
(in units of 513 people per square mile)
p = represents the population of the circular region (in
units of people)
r = is the radius of the circular region
Now we can see that if we divide p by d, we can get a value
which has a units of square mile. Thus the area of the region, hence:
Area = 79,000 people / (513 people per square mile)
Area = 154 square mile
The area of a circle has the formula:
Area = π r^2
Therefore calculating for r:
154 square mile = π r^2
r = 7 miles (ANSWER)
The given equations do not have the same solutions,
Given that,
Determine the solutions of the given equation that matches on not.
-3(x + 7) = 24 and x + 7 = 8.
<h3>What is the
equation?</h3>
The equation is the values of two expressions that are equal.
Here,
-3(x + 7) = 24 - - - - (1)
x + 7 = -8
x = -15
and
x + 7 = 8 - - - - - - -(2)
x = 1
Here solution of equation 1 is not the same as or equal to the solution in equation 2. Thus, the solution of both equations does not matches with each other.
Hence the solutions of both equations are different.
Learn more about the equation here:
brainly.com/question/10413253
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