given the following matrices, if possible, determine A+B+C. if not, state “not possible”
Answers
Given:
\(\begin{gathered} A=\begin{bmatrix}{-5} & {1} & {} \\ {4} & {1} & {} \\ {4} & {-3} & {}\end{bmatrix} \\ B=\begin{bmatrix}{-2} & {10} & {} \\ {6} & {-3} & {} \\ {-7} & {-1} & {}\end{bmatrix} \\ C=\begin{bmatrix}{8} & {-1} & {} \\ {8} & {-10} & {} \\ {-3} & {-5} & {}\end{bmatrix} \end{gathered}\)Required:
To find A+B+C.
Explanation:
Now the addition of given matrix is possible.
\(A+B+C=\begin{bmatrix}{-5} & {1} & {} \\ {4} & {1} & {} \\ {4} & {-3} & {}\end{bmatrix}+\begin{bmatrix}{-2} & {10} & {} \\ {6} & {-3} & {} \\ {-7} & {-1} & {}\end{bmatrix}+\begin{bmatrix}{8} & {-1} & {} \\ {8} & {-10} & {} \\ {-3} & {-5} & {}\end{bmatrix}\)\(=\begin{bmatrix}{-5-2+8} & {1+10-1} & {} & {} \\ {4+6+8} & {1-3-10} & {} & {} \\ {4-7-3} & {-3-1-5} & {} & {} \\ {} & {} & {} & {}\end{bmatrix}\)\(=\begin{bmatrix}{1} & {10} & {} \\ {18} & {-12} & {} \\ {-6} & {-9} & {}\end{bmatrix}\)Final Answer:
\(A+B+C=\begin{bmatrix}{1} & {10} & {} \\ {18} & {-12} & {} \\ {-6} & {-9} & {}\end{bmatrix}\)Related Questions
Is the given value a solution of the inequality?
Answers
Answer:
I don't think so
Step-by-step explanation:
if the s has to be more than or equal to then s would have to equal 8 or more
PLEASE PLEASE HELP
The vertices of quadrilateral LMNP are L(-1 , 7), M(4,9), N(8, -1), and P(3,-3). Using the distance formula, determine the most precise classification of LMNP.
Answers
So, the most precise classification of quadrilateral LMNP is a kite.
What is equation?In mathematics, an equation is a statement that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, and engineering to model relationships between quantities and to solve problems.
Here,
To classify the quadrilateral LMNP, we need to calculate the length of all four sides using the distance formula and then use those values to determine the shape of the quadrilateral.
The distance formula is given by:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Using this formula, we can calculate the length of each side of the quadrilateral as follows:
LM = √[(4 - (-1))² + (9 - 7)²] = √[5² + 2²] = √29
MN = √[(8 - 4)² + (-1 - 9)²] = √[4² + (-10)²] = √116
NP = √[(3 - 8)² + (-3 - (-1))²] = √[(-5)² + (-2)²] = √29
PL = √[(-1 - 3)² + (7 - (-3))²] = √[(-4)² + 10²] = √116
Now, we can use the values we have calculated to determine the shape of the quadrilateral. We can see that LM = NP and MN = PL, which means that opposite sides are congruent. Also, LM and MN are not equal to PL and NP, which means that opposite sides are not parallel. Therefore, LMNP is a kite.
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. If two of the angles in a scalene triangle are 54° and 87°, what is the other angle?
Answers
The answer is:
⇨ x = 39°Work/explanation:
Bear in mind that the sum of all the angles in a triangle is 180°.
Given two angles, we can easily find the third one.
Let's call it x.
Next, we set up an equation:
\(\sf{54+87+x=180}\)
\(\sf{141+x=180}\)
Subtract 141 on each side.
\(\sf{x=180-141}\)
\(\sf{x=39}\)
Hence, the other angle is 39°.1,2,3,4,5 what is probability that an even number will be chosen?
Answers
Answer:
Step-by-step explanation:
step 1
100%/the total number = percent for one probability
100/5 = 20%
2 and 4 is even.
total even number * percent for one probability = total percent for even number
20% * 2 = 40%
therefore total even number is 40%
The probability is:
2/5Step-by-step explanation:
Remember the formula for probability:
\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)
In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.
As for the total outcomes, there are 5 of them, because we have 5 numbers total.
So the probability of choosing an even number is 2/5.
james earns $3,129 a month. He is saving 1/3 of his income each month for a down payment on his home at the end of the year. How much money will james be saving each month?
Answers
Answer:
1,043
Step-by-step explanation:
To find this, multiply 1/3 x the monthly income.
1/3(3,129)
1,043
-Xax
$1043 money will james be saving each month.
what is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
James earns $3,129 a month.
He is saving 1/3 of his income each month.
So, money will james be saving each month
= 3129 x 1/3
= 1043
Hence, $1043 money will james be saving each month.
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solve the equation 4x +30 = 2(x-10)
Answers
4x+30=2x-20
4x-2x= -30-20
2x= -50
x= -25
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juan built 96 toys in 8 hours. at that rate, how many toys would he build in 20 minutes?
Answers
Answer:
4.8 or if rounded up then 5.
Step-by-step explanation:
If you multiply 8 hours with 60 you find out 480 minutes. Then you divide the 96 toys with 20 minutes and you get 4.8 toys.
During the 2008 - 2009 financial crisis, the GDP of the USA reduced from $14.72 trillion in 2008 to $14.42 trillion in 2009. What is the percentage change between these two years? around your answer to the nearest hundredth of a percent.
Answers
The percentage change in GDP is 2.04%
Percentage ChangePercentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.
The formula of percentage change is given as
Percentage change =[ (New increase - old value) / old value] * 100
Percentage change = [(14.72 - 14.42) / 14.72] * 100
Percentage change = 2.04%
In this case, there is a percentage decrease of 2.04%
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Problem
Circles \(K\) and \(L\) touch externally at point \(P\). Line \(ABC\) cuts \(K\) at points \(A\) and \(B\) and is tangent to \(L\) at \(C\). The line through \(A\) and \(P\) meets \(L\) at a second point \(D\).
Prove that \(PC\) bisects angle \(BPD\).
Answers
Step-by-step explanation:
Using the various theorems relating inscribed and external angles to intercepted arcs, we can write the following relations:
angle A = 1/2(arc BP) . . . . . . . . . . . inscribed angle
angle A = 1/2(arc CD -arc CP) . . . external angle at tangent/secant
angle CPD = 1/2(arc CD) . . . . . . . inscribed angle
angle CPB = 1/2(arc CP) + 1/2(arc BP) . . . . . sum of angles at the mutual tangent
ProofEquating the expressions for angle A, we have ...
1/2(arc BP) = 1/2(arc CD -arc CP)
Adding arc CP gives ...
1/2(arc BP +arc CP) = 1/2(arc CD)
Substituting the last two equations for angles from above, this gives ...
angle CPB = angle CPD
Hence PC bisects angle BPD.
![ProblemCircles [tex]K[/tex] and [tex]L[/tex] touch externally at point [tex]P[/tex]. Line [tex]ABC[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/ffzrrgTq33IwGScIDbe8lwPt4jnoA6eo.png)
Select the correct answer from the drop-down menu. The missing term in the denominator is
Answers
Answer: where is the answer choices
Step-by-step explanation:
A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
Answers
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
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Given the polynomial 2xcube + 5xsquare + 3x +4 what is it’s value when x= 10
Answers
Answer:
2534
Step-by-step explanation:
2x^3+5x^2+3x+4
x=10, so:
2(10)^3+5(10)^2+3(10)+4
2000+500+30+4
Answer: 2534
HELP PLEASE, 10 points
The diameter of the hemisphere is 16 inches. What is the total surface area of the hemisphere?
Round to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
d = 16 cm
r =16/2= 8 cm
Total surface area = 3πr² cubic units
= 3 * 3.14 * 8 * 8
= 602.88
= 603 cm²
1. Oceanside Bike Rental Shop charges $16 plus $6 an hour for renting a bike. Melanie paid $70 to rent a bike. How many hours did she pay to have the bike checked out? Select the correct equation to represent this situation.
A) 16x+6x=70
B) 16+ 6x=70
C) 16x+6=70
2. Jason bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 42 cards left. How many cards did Jason start with? Select the correct equation to represent this situation.
A) 1/2(x+9)=42
B) 9x+1/2=42
C) 1/2x+9=42
3. Jason sold half of his comic books and then bought 6 more. He now has 17. How many did he begin with? Select the correct equation to represent this situation.
A) 1/2(x+6)=17
B) 1/2x+6=17
C) 1/2x+6x=17
4. Dan spent half of his allowance going to the movies. He washed the family car and earned $9. What is his weekly allowance if he ended with $15? Select the correct equation to represent this situation.
A) 1/2x+9=15
B) 1/2(x+9)=15
C) 9-1/2x=15
Answers
Answer:
1 = C
2 = B
3 = B
4= C
Step-by-step explanation:
Im not 100% sure but.. i tried
Answer:sike i lied i must provide
Step-by-step explanation: its ez just do it
For the given functions f and g, find the requested function.
Answers
Answer:
its 1
Step-by-step explanation:
i just know
Imagine a clock with the hour hand at 12 and the minute hand at 2. Does the angle formed by the two hands have a measure greater than, less than, or equal to 1/4 turn?
Answers
The angle formed by the two hands have a measure less than 1/4 turn
How to relate the measure of the angle to 1/4 turn?From the question, we have the following parameters that can be used in our computation:
A clock with the hour hand at 12 and the minute hand at 2
The turn represented by the above is represened as
Turn = (2 * 30)/360
When simplified, we have
Turn = 1/6
Next, we have
Angle at the turn = 1/4
1/6 is less than 1/4
This means that the angle formed by the two hands have a measure less than 1/4 turn
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a driver travelled a distance of 864 km in 12 hours what is the speed of car
Answers
answer:
speed= 72 km - per • hour
Answer:
Speed of car = 72 km per hour
Part A: If Maria runs meters each week, how many miles does she run? Round your answer to
the nearest tenth. (meter = yards)
Part B: Maria wants to run 6 miles each week. How many more meters must she run each week to
meet that goal?
Answers
A) The number of miles she runs is rounded to the nearest tenth is; 3.11 miles
B) The additional meters she must run each week to meet that goal is; 4656 meters
How to carry out units conversions?A) Maria runs 5 m each week.
Now, we want to find the number of miles she runs. It means we need to convert meters to miles. The relation between meter and yards is as follows :
1 meter = 1.09361 yards
1 mile = 1760 yards
Thus;
1 mile = 1609.34 m
1 m = (1/1609.34) miles
Thus;
5000 meters = 5000 * (1/1609.34) miles
= 3.11 miles.
B) She wants to run 6 miles each week. This means, number of meters must be;
(6 * 1609.34)/1 = 9656 meters
Thus, additional meters she must run each week = 9656 - 5000 = 4656 meters
Complete question is;
Maria is tracking the number of miles she runs in one week. She is using the track at her school, which measures in meters.
Part A; if Maria runs 5000 meters each week, how many miles does she rung Round your answer to the nearest tenth. (1 meter = 1.09361 yards)
Part B: Maria wants to run 6 miles each week. How many more meters must she run each week to meet that goal?
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Can someone help me with number 1 and 2
Answers
The first one is 2 hundredths and the second one is 800+60+3. 01 + 004 +0001
SOMEONE CAN EXPLAIN ME PLIS
Answers
Answer:
$172
Step-by-step explanation:
multiply the cost of each item of clothing by the amount in which she wants to buy. ex. Two pairs of jeans that cost $32 each. multiply 32 by 2.
alexia lunch at a restaurant costs $34.00, without tax. She leaves the waiter a tip of 12% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip?
Answers
Answer:
$38.08
Step-by-step explanation:
12% of 34.00 as an equation would be \(34*0.12\), \(34*0.12=4.08\) so we add 4.08 to the total of the lunch already. \(34.00+4.08=38.08\). So the answer is $38.08. Hope this helps :)
Help! What si the verbal expression for this algebraic expression: 2x - 4 < 4x +8
A: The quotient of two and a number minus four is less than eight more than the product of four and the same number
B: The difference of two times a number and four is less than the product of four and the same number decreased by eight
C: four less than the product of two and a number is less than the product of four and the same number increased by eight.
D: four more than the product of two and a number is less than the sun of eight and four times the same number
Answers
Answer:
C. Four less than the product of two and a number is less than the product of four and the same number increased by eight.
General Formulas and Concepts:
Pre-Algebra
Converting expressions to word formStep-by-step explanation:
Step 1: Define
2x - 4 < 4x + 8
Step 2: Translate
"2x" is the product of two and a number x
" - 4" is four less
"<" is less than
"4x" is the product of four and a number x
" + 8" is increased by 8
Step 3: Combine
The difference between the product of two and a number x and 4 is less than the sum of the product of four and a number x and 8.
Step 4: Reword
Four less than the product of two and a number is less than the product of four and the same number increased by eight.
Answer:
C
Step-by-step explanation:
four less = -4
than the product of two and a number = 2·x = 2x
is less than = <
the product of four and the same number = 4·x = 4x
increased by eight. = +8
There are 2 triangles and 6 circles. What is the simplest ratio of triangles to circles?
Answers
Hi!
We are asked to find the ratio.
A ratio is a relationship/comparison between two or more numbers based on their numerical value.
We know that, for every 2 triangles there are 6 circles. We can set up our ratio to look like this:
\(\cfrac{2}{6}\)
---
(NOTE: there are many different ways to write ratios, including: "x:y", "x to y", or "x/y")
---
The question asks us to write it in simplest form. The fraction \(\cfrac{2}{6}\) is NOT in simplest form. It can be simplified to:
\(\cfrac{1}{3}\)
This is the ratio in simplest form.
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A water park sold 6 child tickets and 54 adult tickets. What percentage of the tickets sold were child tickets?
Answers
Answer: 10%
Step-by-step explanation:
Add 54 and 6 for the total.
54+6=60.
Now we find the percentage of 6 from 60.
6/60
0.1
So 10% of tickets sold were child tickets.
---
hope it helps
Suppose you roll a special 10-sided die. What is the probability that the number rolled is a^ prime prime 6^ prime prime OR a 7
Answers
The probability of rolling a number that is either a prime number greater than 2 and ending in 6, or the number 7, is 5/10 or 1/2.
What do you mean by Probability?The chance or potential of a result is referred to as probability. It explains the probability of a particular occurrence.
The chance of rolling a prime number or a 6' prime prime on a die is the total of the probabilities of rolling each of those numbers, assuming that the 10-sided die is fair and that all sides are equally likely to land face up.
A 10-sided dice has the following four prime numbers: 2, 3, 5, and 7. Moreover, there is only one number that is 6' prime (or 6"), and that number is 9. Only one number exists, and that is seven. Hence, the likelihood that a prime number or 6' prime prime will be rolled is:
P(prime or 6' prime prime) = P(2) + P(3) + P(5) + P(7) + P(9)
Since there are 10 possible outcomes, each with an equal probability of 1/10, the probability of rolling any single number is 1/10. Therefore:
P(2) = P(3) = P(5) = P(7) = 1/10
P(9) = 1/10
Substituting these values into the equation above gives:
P(prime or 6' prime prime) = 1/10 + 1/10 + 1/10 + 1/10 + 1/10
1/10 = 6/10 = 3/5
Therefore, the probability of rolling a prime number or 6' prime prime on a 10-sided die is 3/5.
Correct question Suppose you roll a special 36-sided die. What is the probability that the number rolled is a "1" or "2"?
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Which of the expressions are equivalent to the one below? Check all that apply.
( 15 • 3) - 20
Answers
Answer:
I don't know your answer choices but...
Step-by-step explanation:
( 15 • 3) - 20 is equal to:
45-20
25
(5)(3)(3)-20
What is the similarity ratio of △QRS to △KJI?
Answers
Based on the given shapes △QRS and △KJI, the similarity ratio can be found to be 1/3.
What is the similarity ratio?The similarity ratio can be found as:
RQ / JK = RS / JI = SQ / KI
Solving gives:
2 / 6 = 2 / 6 = 1 / 3
1/3 = 1/3 = 1/3
The similarity ratio of △QRS to △KJI is therefore 1/3.
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Two points are 17 units apart on a number line. The coordinate of one point is -20.
What are the possible coordinates of the other?
A. -3 and +3
B. -37 and +3
C. -37 and -3
D. +37 and +3
E. +37 and -3
Answers
-20 - 17 = -37
the answer is C
2040
3. The main engine alone on a rocket can consume the allotted
fuel supply in two-thirds the time it takes the auxiliary engine
alone. Working together they both consume their allotted fuel
in 36 seconds. Formulate an equation to represent the
situation. How long could each be fired alone?
Answers
Using equations, the time for the main engine 14.4 seconds and 21.6 seconds for the auxiliary engine
What is the equation to represent the situationLet's call the time each engine takes to consume its allotted fuel supply as "t₁" for the main engine and "t₂" for the auxiliary engine.
From the first piece of information, we know:
t₁ = (2/3)t₂
From the second piece of information, we know that the combined fuel consumption time for both engines is 36 seconds:
t₁ + t₂ = 36
Now we can substitute the first equation into the second:
t₁ + (2/3)t₂ = 36
Combining like terms:
t₂ = 21.6
Finally, substituting t₂ back into the first equation:
t₁ = (2/3)(21.6) = 14.4
So the main engine alone could be fired for 14.4 seconds and the auxiliary engine alone could be fired for 21.6 seconds.
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Which figure has a greater volume, and how much greater is it? 2 figures. One figure has a rectangular prism with length of 36 feet, width of 21 feet, and height of 18 feet. The rectangular pyramid has a base of 36 feet by 21 feet, and height of 9 feet. The other figure has a rectangular prism with length of 36 feet, width of 21 feet, and height of 18 feet. A triangular prism has a triangular base with base of 36 feet and height of 9 feet. The prism has a height of 21 feet.
Answers
The volume of the rectangle prism is greater than the volume of the rectangular pyramid.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
One figure has a rectangular prism with a length of 36 feet, a width of 21 feet, and a height of 18 feet.
The volume of the rectangular prism will be
Volume = 36 x 21 x 18
Volume = 16308 cubic ft
The rectangular pyramid has a base of 36 feet by 21 feet, and a height of 9 feet.
Then the volume of the rectangle pyramid will be
V = 1/3 x (36 x 21) x 9
V = 2268 cubic ft
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Answer:
It is C
Step-by-step explanation:
Got it right on edge