Calculate the value of the following determinants: | 1 -1 3 2 5 0 -3 1 2 | and | -1 -8 2 9 1 0 4 1 2 |
Answer:
1) The determinant = 65
2) The determinant = 152
Step-by-step explanation:
Let us show how to find the determinant of a matrix
You can find the determinant of this Matrix [tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&m&n\end{array}\right][/tex]
by using this rule
Determinant = a(en - fm) - b(dn - fg) + c(dm - eg)
Let us use this rule with the given matrices
1)
[tex]\left[\begin{array}{ccc}1&-1&3\\2&5&0\\-3&1&2\end{array}\right][/tex]
The determinand = 1[(5)(2) - (0)(1)] - (-1)[(2)(2) - (0)(-3)] + 3[(2)(1) - 5(-3)]
= 1[10 - 0] - (-1)[4 - 0] + 3[2 - (-15)]
= 1[10] + 1[4] + 3[2+15]
= 10 + 4 + 3[17]
= 10 + 4 + 51
= 65
The determinant = 65
Let us do the second one
2)
[tex]\left[\begin{array}{ccc}-1&-8&2\\9&1&0\\4&1&2\end{array}\right][/tex]
The determinand = -1[(1)(2) - (0)(1)] - (-8)[(9)(2) - (0)(4)] + 2[(9)(1) - 1(4)]
= -1[2 - 0] - (-8)[18 - 0] + 2[9 - 4]
= -1[2] + 8[18] + 2[5]
= -2 + 144 + 10
= 152
The determinant = 152
Answer:
1. 65
2. 152
Step-by-step explanation:
edge assignment
What is the measure of the indicated angle?
120°
?
How many quarts rounded to the nearest tenth are in 50 liters
Answer:
52.8
Step-by-step explanation:
If you were to look this up 50 liters = 52.8344
The question asks you to round to the nearest tenth so 52.8344 is now shown as 52.83 when you round that you can see that 52.83 rounded to the nearest tenth is 52.8 and that's your answer.
PLEASE MARK AS THE BRAINLIEST PLEASE
A car is traveling at steady speed. It travels 2 1/3 miles in 3 1/2 minutes. How far will it travel in 41 minutes? In 1 hour?
If you score higher than 90% on the test, you'll get an A. If you get an A, you can celebrate.
You scored a 92% on the test. What can you conclude using the Law of Syllogism?
Answer:
You'll get an A and you can celebrate.
Step-by-step explanation:
The hypothesis for the first conditional is met, so we can assume the conclusion is true: you'll get an A.
That conclusion satisfies the hypothesis of the second conditional, so we can assume its conclusion is true: you can celebrate.
Taken together, we can assume ...
You'll get an A and you can celebrate.
Use the figure below to solve for X.
Answer:
the value of x is 45 degree
Answer:
45
Step-by-step explanation:
Step 1:
2x + 55° + x - 10° = 180° Sum of a Δ
Step 2:
3x + 45° = 180° Combine Like Terms
Step 3:
3x = 135° Subtract 45° on both sides
Step 4:
x = 135° ÷ 3 Divide
Answer:
x = 45
Hope This Helps :)
determine the annual amount that an investor would earn on a rental property that pays $850.00 per month.
Answer:10,200
Step-by-step explanation:
Which of the following best describes how to solve 2x+3 = 2x +3? o Square both sides once, then solve the resulting linear equation. Square both sides twice, then solve the resulting linear equation. o X Square both sides once, then solve the resulting quadratic equation. Square both sides twice, then solve the resulting quadratic equation. RETRY
Answer:
The answer is b on edg and the possible solution is 1/2.
Step-by-step explanation:
BAnswer:
Step-by-step explanation:
solve: m/4= −13
make sure to show your work
Answer:
m=-52
Step-by-step explanation:
1) multiply both sides by 4
m=-13×4=-52
8.23 A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to determine how much force is required to break the insulators. You measure force by observing how many pounds are applied to the insulator before it breaks. You collect the force data for 30 insulators selected for the experiment and organize and store these data in Force: 1,870 1,728 1,656 1,610 1,634 1,784 1,522 1,696 1,592 1,662 1,866 1,764 1,734 1,662 1,734 1,774 1,550 1,756 1,762 1,866 1,820 1,744 1,788 1,688 1,810 1,752 1,680 1,810 1,652 1,736 Construct a 95% confidence interval estimate for the population mean force. What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)
Answer:
The 95% confidence interval estimate for the population mean force is (1691, 1755).
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.
The sample selected here is n = 30.
Thus, the sampling distribution of the sample mean will be normal.
Compute the sample mean and standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55[/tex]
Construct a 95% confidence interval estimate for the population mean force as follows:
[tex]CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}[/tex]
[tex]=1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)[/tex]
Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).
Select the graph that best represents the solution set.
|x| > 5
Answer:
The answer for you question is the graph that's all the way at the bottom, I got it from another brainly answer.
Link: https://brainly.com/question/24114494?referrer=searchResults
Which is larger: 90%of 20 OR 20% of 95
Answer: 20% of 95
Step-by-step explanation: 20% of 95 is 19 and 90% of 20 is 18. So 19>18.
Hi! I believe your answer is ---20% of 95--- because 90% of 20 is 18, but 20% of 95 is 19, so that is larger. I hope this helps you! Good luck and have a great day. :)
After going trick-or-treating, Cheyan is trying to
figure out how many houses she visited. Cheyan knows
that she averaged 3 candies per house. After giving
her brother 14 pieces of candy, she has 34 pieces
left. How many houses did she visit?
Answer:
16
Step-by-step explanation:
All you have to do is add 14+34 which is 48. Since you know that she averaged 3 pieces of candy you have to divide 48 and 3 which is 16
Answer:
16...........................
Step-by-step explanation:
add total candies, divide by 3
I need helping finding an equation for this table and the function.
Y
1
4
16
64
256
1024
4096
X
1
2
3
4
5
6
Find the equation and function and give a reason
Find the surface area of the figure.
5 m
5 m
4 m
6 m
10 m
Answer:
258m
Step-by-step explanation:
This is a guess, if you could, please post your answer again, but this time click the paperclip icon, and add a screenshot of the figure!
Can someone help me answer these
Answer:
question 7: irrational.
Question 8: rational.
Step-by-step explanation:
Give the domain and range of each relation. Tell whether the relation is a function. Explain.
Is a = 2.4 a solution to the equation below? Show why or why not.
9a-3 = 4a +9
Answer:
Yes
Step-by-step explanation:
Both equations equal 18.6. Just plug in 2.4 for a to check
Similar triangles can have congruent angles and congruent sides.
True or false
Answer:
True
Step-by-step explanation:
I had the same question on my test :)
(Reason why it's true)
Similar triangles can have the S.A.S (Side, angle, side). They can even.
Answer:
True!
Step-by-step explanation:
Need this Slope Answer! Help please.
Answer:
0.5
Step-by-step explanation:
Problem #5: (8 points)
Richard owns a restaurant. He needs to buy at least 300 glasses. Tall glasses cost $2.50. Short
glasses cost $2.10. He can spend at most $670. Create a system of inequalities Richard can use to
find the possible numbers of tall glasses, t, and short glasses, s, he can buy?
acer
2(× - 3) + 7 (× + 2)
Answer:
x= -1.22
Step-by-step explanation:
I think in this case you would be solving for x. So, to start you would expand the 2 out to the (x-3). That would give you 2x-6. Then you would expand the 7 out to the (x+2). That would give you 7x+14. You would then be left with 2x-3+7x+14. You would then combine like terms and get 9x+11. To solve for x you would subtract 11 leaving you with 9x= -11. From there you would divide -11 by 9 and get x= -1.22.
Have a wonderful day!! :)
what is the estimated song of 231 + 529
Answer:
760.
Step-by-step explanation:
31 + 29 = 60
2+5 = 7.
It takes 3 ¾ spoons of chocolate syrup to make 2 ½ gallons of chocolate milk. How many spoons of syrup would it take to make 5 gallons of chocolate milk?
Answer:
I think it is 7.5 (7 1/2)
Step-by-step explanation:
3.75 divided by 2.5= 1.5
1.5 * 5= 7.5
For f(x)=5x+1. Find f(-4)
Answer:
-19
Step-by-step explanation:
f(x)=5x+1
F(-4) - substitute -4 as the x
F(-4)=5(-4)+1
F(-4) = -20 + 1
f(-4) = -19
Solve for x:
(x - 2)(x + 1) = 3x - 2
X =
X =
Answer:
x = 0
Step-by-step explanation:
(x - 2)(x + 1) = 3x - 2
2x + x - 2x -2 = 3x - 2
x - 2 = 3x - 2
-2x = 0
x = 0
PLS HELP WITH THIS one
Choose the fraction that is greater than 5/9.
Answer:
6/9
Step-by-step explanation:
Part III: The Olympic triangle (22 points)
Draw a sketch of the short course triangle below, labeling the points A, B, and C. Don’t draw it on your master map yet! (3 points)
Answer:
thank you!!!!!!!
Step-by-step explanation:
The course triangle can be used to determine the transition of course stages from one to the other with labels as in the image. The angle <ABC and <BCA depends on the type of triangle we draw. Here it is 60° each.
What is a course triangle ?The three main elements of the course design triangle are objectives, assessments, and instruction. All three course components must be closely correlated with one another and take into account the course setting to produce a cogent learning experience.
The Olympic triangle is a sailing course that is frequently used in racing dinghies, especially at important regattas like State, National, and World Titles, and it was also used during the Olympics.
When looking up the course towards the top mark, the start line is frequently tilted 5 to 10 degrees to the port end, or the left end, as opposed to how the start line would be if it were parallel to the wind.
To windward of the top mark, with a finishing mark and the committee boat serving as either end of the line, is the most adaptable location to establish the finishing line.
Find more on course triangle:
https://brainly.com/question/21818240
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write the recuring deciml 0.15 as a fractions simplest form
