which expression represents the determinant of A= [-3 1 6 -6]
Answers
The determinant is represented by Option A , det(A) = (–3)(–6) – (1)(6)
The missing options are
det(A) = (–3)(–6) – (1)(6)
det(A) = (–3)(–6) + (1)(6)
det(A) = (1)(6) – (–3)(–6)
det(A) = (–3)(–6) + (–1)(–6)
What is a Determinant ?
A determinant is a scalar value computed for a given square matrix .
The matrix A is
\(\bigl(\begin{smallmatrix}-3 & 1\\ 6 & -6\end{smallmatrix}\bigr)\)
To determine the determinant
\(\bigl(\begin{smallmatrix}a & b\\ c & d\end{smallmatrix}\bigr)\)
the determinant = ad -bc
so for A
det(A)= (-3) (-6) - (1) (6) = 18 - 6 = 12
The determinant is represented by Option A .
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Related Questions
Which of these statements is true?
Answers
Answer:
B
Step-by-step explanation:
because it is now choose the answer
Answer:
B
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
You grab your math teacher's standard number icosahedron (a die containing the numbers 1 through 20). You roll the die 10 times and get the following numbers: 5,12,1,9,20,14,13,8,11, and 20.
1. What is the theoretical probability (expressed as a fraction) of rolling an even number less than 12?
2. What is the experimental probability (expressed as a fraction) of rolling a 20?
3. What is the theoretical probability (expressed as a fraction) of rolling a number divisible by 3?
4. What is the experimental probability (expressed as a percent) of rolling a 1?
Answers
1. The theoretical probability of rolling an even number less than 12 is 5/10, or 1/2.
What is Probability?Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.
2. The experimental probability of rolling a 20 is 2/10, or 1/5.
3. The theoretical probability of rolling a number divisible by 3 is 4/10, or 2/5.
4. The experimental probability of rolling a 1 is 1/10, or 10%.
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A line includes the points (10, 4) and (0, 2). What is its equation in slope-intercept form?
Answers
Answer:
Slope is 1/5 and equation is 4-2 / 10-0
Step-by-step explanation:
Its equation is 4-2 / 10-0
-2/-10 = 1/5 Slope is 1/5
Answer:
The answer is y=1/5x+2
Step-by-step explanation:
The slope is 1/5
and the y is 2
El promedio del 5 personas $ 20 si ingresan 3 personas con promedio de $ 60 ¿ cual es promedio del dinero de las personas
Answers
Answer:
El promedio de dinero de las personas es de $35 cada uno.
Step-by-step explanation:
Dado que el promedio del dinero de 5 personas es de $20 cada uno, para determinar, si ingresan 3 personas con promedio de $60 cada uno, cuál es promedio del dinero de las personas , se debe realizar el siguiente cálculo:
((5 x 20) + (3 x 60)) / 8 = X
(100 + 180) / 8 = X
280 / 8 = X
35 = X
Por lo tanto, el promedio de dinero de las personas es de $35 cada uno.
If p=180−0.2D, calculate the optimal profit if the total cost is $30,500.
Answers
To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.
To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:
Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).
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im adding 200 points to the next bc i don't want people getting it without answering, but please answer this, <3 and msg me for my sxocixal media if u can't see it so i can show you an up close image :P
Answers
Answer:
PART 1
In january she recives the discount but not in Febuary
25*12= 300 For Jan
59.99*10= 599.90 For Feb
Total: 899.90 dollars
PART 2
x stands for amount of months
59.99x=359.94
Divide both sides by 59.99
x= 6
Step-by-step explanation:
a jar had 6 red marbles and 4 blue marbles. you randomly choose two marbles. find the probability that both marbles are red.
Answers
Hey there! I'm happy to help!
If we have 6 red marbles and 4 blue marbles, we have 10 total marbles.
First, we have the probability that a marble we draw is red, which is 6/10. This simplifies to 3/5.
If this happens, there are only 5 red marbles left and 9 total ones. So, the probability of drawing a red one again is 5/9.
We multiply these two probabilities together to see the probability of them both happening.
\(\frac{3}{5} *\frac {5}{9}= \frac{1}{3}\)
The probability that both marbles are red is 1/3.
Have a wonderful day! :D
A survey of local car dealers revealed that 64% of all cars sold last month had CD players, 28% had alarm systems, and 22% had both CD players and alarm systems.Leave your answers as decimals and round to three decimal places. a.Create a Venn Diagram for the scenario above.b.What is the probability one of these cars selected at random had neither a CD player nor an alarm system? c.What is the probability that a car had a CD player unprotected by an alarm system? d.What is the probability a car with an alarm system had a CD player? e.Are having a CD player and an alarm system disjoint events? Explain.
Answers
a) The Venn Diagram is Attached.
b) The probability that a randomly selected car had neither a CD player nor an alarm system is 0.3.
c) The probability that a car had a CD player unprotected by an alarm system is 0.42.
d) The probability that a car with an alarm system had a CD player is 0.786.
e) No, having a CD player and an alarm system are not disjoint events.
a. The Venn Diagram for the scenario can be created as follows:
Attached
b. To find the probability that a randomly selected car had neither a CD player nor an alarm system, we need to find the complement of the event "having either a CD player or an alarm system."
P(neither CD player nor alarm system) = 1 - P(CD player or alarm system)
Since the events "CD player" and "alarm system" are not mutually exclusive (they can both occur), we need to subtract the probability of the intersection of the two events.
P(neither CD player nor alarm system) = 1 - P(CD player or alarm system) = 1 - P(CD player) - P(alarm system) + P(CD player and alarm system)
P(neither CD player nor alarm system) = 1 - 0.640 - 0.280 + 0.220 = 0.300
Therefore, the probability that a randomly selected car had neither a CD player nor an alarm system is 0.300.
c. To find the probability that a car had a CD player unprotected by an alarm system, we need to subtract the probability of having both a CD player and an alarm system from the probability of having a CD player.
P(CD player unprotected by alarm system) = P(CD player) - P(CD player and alarm system) = 0.640 - 0.220 = 0.420
Therefore, the probability that a car had a CD player unprotected by an alarm system is 0.420.
d. To find the probability that a car with an alarm system had a CD player, we need to divide the probability of having both a CD player and an alarm system by the probability of having an alarm system.
P(CD player given alarm system) = P(CD player and alarm system) / P(alarm system) = 0.220 / 0.280 = 0.786
Therefore, the probability that a car with an alarm system had a CD player is 0.786.
e. No, having a CD player and an alarm system are not disjoint events. Disjoint events are events that cannot occur simultaneously. In this case, 22% of the cars had both a CD player and an alarm system, indicating that these events can occur together. Disjoint events have a probability of intersection equal to zero, but in this scenario, the probability of having both a CD player and an alarm system is 0.220, indicating that they are not disjoint.
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maycees grandmother made 5 dozen cookies, but 12 of them were burned while she was baking them. how many cookies were left to eat?
Answers
The number of cookies that were left to eat is, 48.
What is subtraction?Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.
Given:
Maycee's grandmother made 5 dozen cookies,
but 12 of them were burned while she was baking them.
1 dozen means 12 cookies.
So,
the number of cookies that were left to eat is,
= 12 x 5 - 12
= 48
Therefore, the number is 48.
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What is the code in python to remove ' at the beginning and at the end and also remove the item at index 12?
Answers
To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.
To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().
Here's an example:
string = "'example string'"
stripped_string = string.strip("'")
After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.
To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.
Here's an example:
string_list = list(stripped_string)
string_list.pop(12)
result_string = ''.join(string_list)
After executing this code, the value of result_string will be the modified string with the item at index 12 removed.
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which of the following points satisfies the inequality 2x - 3y < 1?
Answers
Answer:
None of the given points satisfy the inequality 2x - 3y < 1.
Step-by-step explanation:
To determine which points satisfy the inequality 2x - 3y < 1, we can substitute the coordinates of each point into the inequality and check if the inequality holds true.
Let's consider the given points:
Point A: (1, 0)
2(1) - 3(0) < 1
2 - 0 < 1
2 < 1 (False)
Point B: (-1, -1)
2(-1) - 3(-1) < 1
-2 + 3 < 1
1 < 1 (False)
Point C: (3, -2)
2(3) - 3(-2) < 1
6 + 6 < 1
12 < 1 (False)
None of the given points satisfy the inequality 2x - 3y < 1.
Therefore, none of the points A, B, or C satisfy the inequality.
Samuel is running a 3-mile race. He would like to finish the race in under 33 minutes. He has already run for 10.5 minutes.
Which inequality represents the situation?
10.5 + x Less-than-or-equal-to 33
10.5 + x < 33
10.5 + x Greater-than-or-equal-to 33
10.5 + x > 33
Answers
Answer: 10.5 + x < 33
Step-by-step explanation: If he wants a time "under" which is the key word here. Under 33 minutes it has to be less than 33 minutes and cannot be less than
Answer:
B - 10.5 + x < 33
Step-by-step explanation:
Please help me I have been stuck for a while
Answers
Answer:
21
Step-by-step explanation:
PLEASE HELP 25 POINTS PLUS BRAINLIEST
Answers
The missing length of the triangle using Pythagoras theorem is; x = 3
How to use Pythagoras Theorem?Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle. The right angle triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
The formula to find the sides is;
hypotenuse² = opposite + adjacent²
We are given;
Hypotenuse = 5
Opposite = x
adjacent = 4
Thus;
5² = x² + 4²
x² = 5² - 4²
x² = 25 - 16
x = √9
x = 3
We conclude that it is the missing length of the triangle
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Triangle BCD was dilated using the rule D Subscript Q, one-half.
What are the values of the unknown measures?
m∠C'B'D' =
°
CQ =
B'D' =
Answers
The values of the missing angles and sides after dilation are:
m∠C'B'D' = 95°, CQ = 6 and B'D' = 11.
What are the values of the angles after transformation?m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'
m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC (dilation)
m∠C'B'D = 180° - 34° - 51° = 95°
Thus, by way of scale factor we can say that:
BC/B'C' = BD/B'D' = 36/18 = 2
B'D' = ¹/₂BD = ¹/₂ * 22 = 11
ΔC'P'Q ∼ ΔCPQ
Thus:
C'Q'/CQ = C'D'/CD = D'Q'/DQ
CQ = 2C'Q' = 2 * 3 = 6
Therefore, m∠C'B'D' = 95°, CQ = 6 and B'D' = 11.
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Maria determined that these expressions are equivalent expressions using the values of x = 3 and x = 7. Which statements are true? Check all that apply.
Answers
Answer:
Photo :)
Step-by-step explanation:
Got it right :))
Answer:
The expressions have equivalent values for any value of x
The expressions have equivalent values when x = 6.
When x=10, both expressions have a value of 33
Step-by-step explanation:
a 1 =−4a, start subscript, 1, end subscript, equals, minus, 4 a_i = a_{i - 1} \cdot 2a i =a i−1 ⋅2
Answers
The given equation is a recursive formula where a subscript i equals the product of a subscript i-1 and 2, with the initial value of a subscript 1 being -4a.
The equation represents a recursive relationship between the terms of the sequence. Starting with the initial term, a subscript 1, the subsequent terms are determined by multiplying the previous term, a subscript i-1, by 2. This recursive formula can be written as a subscript i = a subscript i-1 * 2.
Given that a subscript 1 = -4a, we can use this initial value to find the subsequent terms of the sequence. To calculate a subscript 2, we substitute i = 2 into the formula:
a subscript 2 = a subscript 2-1 * 2 = a subscript 1 * 2 = -4a * 2 = -8a.
Similarly, for a subscript 3:
a subscript 3 = a subscript 3-1 * 2 = a subscript 2 * 2 = -8a * 2 = -16a.
By applying the recursive formula repeatedly, we can generate the terms of the sequence. Each term is obtained by multiplying the previous term by 2.
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21. Estimate the annual wages for a cashier who earns $11
an hour.
Answers
Answer:
~22,000 /yr
Step-by-step explanation:
52 weeks/yr
5 day work week (8 hrs a day 40hrs a week)
comes out to 22,880 but mandatory holidays would be lower
Joshua is a year older than his sister McKay. The product of their ages is 33 more than 7 times Joshua’s age. How old are Joshua and McKay?
Answers
Answer:
Joshua is 11 and Mckay is 10.
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
x= 6 y=40
Step-by-step explanation:
PLEASE I AM MARKING BRAINLEST!
Answers
Answer:
5, 9,13,17
Step-by-step explanation:
5 +4 +4+4
Is this a function or no
Answers
Answer:
Yes
Step-by-step explanation:
None of them repeat
Fatal Accidents The American Automobile Association (AAA) reports that of car accidents, 56% are caused by aggressive driving. If 3 accidents are chosen at random, find the probability for the following. Please round the final answers to 2 or 3 decimal places. Part 1 of 3 (a) None are caused by aggressive driving. P (none are caused by aggressive driving) = _____
Answers
Answer : The probability that none of the 3 accidents are caused by aggressive driving is 0.085, according to the American Automobile Association (AAA).
The probability of an accident being caused by aggressive driving is 56%, or 0.56. Therefore, the probability of an accident NOT being caused by aggressive driving is 1 - 0.56 = 0.44. Since the accidents are chosen at random, we can assume that they are independent events. Therefore, we can multiply the probabilities together to find the overall probability.
For part 1, we want to find the probability that none of the 3 accidents are caused by aggressive driving. This means we want the probability of an accident not being caused by aggressive driving (0.44) to happen 3 times in a row:
P(none are caused by aggressive driving) = 0.44 * 0.44 * 0.44 = 0.085184
Round to 3 decimal places:
P(none are caused by aggressive driving) = 0.085
Therefore, the probability that none of the 3 accidents are caused by aggressive driving is 0.085, according to the American Automobile Association (AAA).
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A survey was done that asked people to indicate whether they preferred to ride a
street bike or a mountain bike. The results of the survey are shown in the two-way
table.
Amjed is making a relative frequency table from this data.
What operation should Amjed perform to determine the relative frequency of a
person over 30 years old who prefers to ride a mountain bike? 1) Subtract 25 from 462, then divide by 462. 2) Divide 25 by 462. 3) Add 180 to 462, then divide by 463. 4) Divide 180 by 462
Answers
The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:
2) Divide 25 by 462.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of people is given as follows:
58 + 164 + 215 + 25 = 462.
Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:
25/462.
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You are filling traffic cones with sand to keep them from blowing over. the cone has a radius of 7 inches and a height of 28 inches. approximately how much sand, in cubic inches, can fit inside the cone?
Answers
If you are filling traffic cones with sand to keep them from blowing over and the cone has a radius of 7 inches and a height of 28 inches, then 1436 cubic inches of sand can fit inside the cone.
The volume of the cone can be described as the measure of a 3-D space occupied by matter.
The volume of sand in cubic inches that can fit inside the traffic cone can be calculated by the formula,
v = πr²h / 3
As the radius of the cone = 7 inches
Height of the cone = 28 inches
v = π(7)²28 / 3
v = (π)(49)(28) / 3
v = (π)(1372) / 3
As π = 3.14
v = (3.14)(1372) / 3
v = 4308.08 / 3
v = 1436.02 ≈ 1436 cubic inches
Hence, 1436 cubic inches of sand is calculated to fit inside the cone.
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The line of symmetry is involved in which transformation?TranslationRotationReflectionMigration
Answers
Given:
The line symmetry.
Aim:
We need to find the transformation that line symmetry involved.
Explanation:
Recall that line symmetry is the line in the middle acts as a mirror.
the figure flips to make a mirror image of itself in reflection.
Hence the line of symmetry is involved reflection transformation.
Final answer:
The line of symmetry is involved in reflection transformation.
Patrica Had 3 pizzas at her house. After giving some pizza to her neighbor, Patrica had 1 3/4 pizzas left. Which equation will help determine how many pizzas Patrica gave her neighbor?
Answers
Answer:
3-1 3/4= 1 1/4
Step-by-step explanation:
Enter the correct answer in the box. What are the solutions of this quadratic equation? X^2+164=16x Substitute the values of a and b to complete the solutions.
Answers
Answer:
x = 8 - 10i or 8 + 10i
Step-by-step explanation:
Our equation is given as:
x² + 164 = 16x
x² - 16x + 164 = 0
We solve using Almighty formula
x = -b ± √b² - 4ac/2a
Where : ax² + bx + c
For our Equation
a = 1, b = -16, c = 164
Hence,
x = -(-16) ± √-16² - 4 × 1 × 164/2 × 1
x = 16 ± √256 - 656/2
x = 16 ± √-400/2
Finding the roots
x = 16/2 ± √-400/2
x = 8 ± 20i/2
x = 8 ± 10i
Therefore, the value of x
= 8 - 10i or 8 + 10i
Answer: x=8+10i
x=8-10i
Step-by-step explanation: Plato :)
Find the ratio of RMS speed of an ideal gas at 235k and 37k.
Answers
The ratio of RMS speed of an ideal gas at 235K and 37K is 2.52011.
What is the RMS speed of an ideal gas?The equation V = √((3RT)/M), where R is the universal gas constant, T is the absolute (Kelvin) temperature, and M is the molecular mass, gives the root mean square (R.M.S.) speed V of the molecules of an ideal gas.
How to solve the question?In the question, we are asked to find the ratio of the RMS speed of an ideal gas at 235K and 37K.
We are given two temperatures, T₁ = 235K and T₂ = 37K
We calculate the ratio V₁:V₂ in the following way:
V₁:V₂
= √((3RT₁)/M)/√((3RT₂)/M)
= √((3R(235))/M)/√((3R(37))/M)
= √(235/37) {Since, 3, R, and M, cancel off each other}
= √6.351 = 2.52011.
Thus, the ratio of RMS speed of an ideal gas at 235K and 37K is 2.52011.
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Gasoline prices are given to the nearest thousandth of a dollar. If a gallon of gasoline costs $3.499 and increases $0.09, what is the price of gasoline after the increase?
(to the nearest thousandth of a dollar)