Option B. Theresa's work is correct its shows that Matrix multiplication is not commutative.
Is matrix multiplication commutative?
Clearly, it is true that AB and BA are distinct matrices, so matrix multiplication is not generally commutable.
Nevertheless, there are special conditions where the product of matrices could be commutable, such as when one of them is an id matrix or diagonal matrix with equivalent diagonal entries.
Hence we can say that Theresa's work is correct its shows that Matrix multiplication is not commutative. since the results are different
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there are 1800 pupils in a school of witch 2/5 are girls. 540 of the pupils do not play sports. Of these pupils who do not play sports, 5/9 are girls. How many boys play sports?
========================================================
Explanation:
There are 1800 students total.
Take 2/5 of this to find the number of girls
(2/5)*1800 = 720 students are girls
Subtract that result from the total to get the number of boys
1800-720 = 1080 students are boys
We'll use this value later, so let A = 1080.
-------------
540 students do not play sports
(5/9)*540 = 300 girls do not play sports.
540-300 = 240 boys do not play sports
Let B = 240
------------
We found that
A = 1080 boys totalB = 240 boys do not play sportsTherefore,
A-B = 1080 - 240 = 840 boys play sports
Given f(x) = 4x3 − 12x2 + 40x + 12, find f(–2).
Hey there! :)
Answer:
f(-2) = -148.
Step-by-step explanation:
To calculate f(-2), simplify substitute -2 for x in the equation. Therefore:
f(x) = 4x³ -12x² + 40x + 12
Becomes:
f(-2) = 4(-2)³ - 12(-2)² + 40(-2) + 12
Simplify:
f(-2) = 4(-8) - 12(4) - 80 + 12
f(-2) = -32 - 48 -80 + 12
Finally, you get:
f(-2) = -148.
What is the slope of the line?
A) -1/3
B) 1/3
C) -3
D) 3
Answer:
Hey there!
A simple way to think about slope is rise over run. Between any two points on this line, the rise is 3, and the run is -1.
3/-1=-3, so the slope is -3.
Let me know if this helps :)
A car driving at 10.0 m/s southward accelerates at 4.11 m/s2 southward for 7.25 s. what is the car's speed after this amount of time?
The car's speed after the given amout of time is 19.8 m/s²
How would you define acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.
Average Acceleration =Change in Velocity/ Time Taken
So Change in Velocity is 10-x m/s
Time taken is 7.25 s
Given accelaration 4.11 m/s²
Putting the values we get,
4.11 = (10-x)/7.25
⇒29.8 = 10-x
⇒x=19.8 m/s²
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the number of failures of a testing instrument from contamination particles on the product is a poisson random variable with a mean of 0.015 failures per hour. what is the probability that the instrument does not fail in an 8 hour shift?
The probability that the instrument somehow doesn't fail in an 8-hour shift is 0.886 for the frequency of testing instrument failures due to contamination particles on the item is a Poisson random variable with either a mean of 0.015 errors per hour.
Using Poisson Distribution,
Let X be the number of failures in 8 hours. Because there are 8 hours instead of 1, the mean will be 8 × 0.015 = 0.12.
As a result, the opportunity of no failures during this period is increased.
P(X = 0), is
P(0) = (\(e^{-0.12}\) × \((0.24)^{0}\)) ÷ 0!
P(0) = (0.886 × 1) ÷ 1
P(0) = 0.886
The probability that the instrument will not fail during an 8-hour shift is 0.886.
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The distance covered by the fastest high-speed train in Japan traveling at maximum speed is represented on the graph. The fastest high-speed train in the United States traveling at maximum speed covers 600 kilometers in 1/2 hours. Which train has a greater maximum speed? Explain.
Answer:
it would run up almost 360 kph
Step-by-step explanation:
i look it up
3. Twelve disks are randomly selected from 20 defective and 35 good disks; a total of 55 disks. A. How many ways to select 12 computer disks? What counting technique are you applying (M, P,S, or C) ? B. How many ways to select five good and seven defective computer disks? What counting technique are you applying ( M,P,S, or C) ? Identify the conditions. List a few outcomes (i.e., ways of selecting a batch of 12 disks). C. How many ways to select three good and nine defective disks or five good and seven defective disks? What counting technique are you applying (M,P,S, or C) ? I will provide the following: M: Multiplication/Counting Principle: order important and with or without replacement P: Permutation: order important and without replacement S: Special Permutation: order important and with limited replacement C: Combination: order not important and without replacement
The number of ways to select 12 disks from a total of 55 disks is 1.171 x 10¹⁰. The number of ways to select 5 good and 7 defective disks is approximately 1.050 x 10¹⁰.
A. We have 20 + 35 = 55 disks. We want to select 12 disks from these 55 disks.
The order of selection does not matter; it is a combination problem.
The number of ways to select 12 disks from 55 is given by:
C(55, 12) ≈ 1.171 x 10¹⁰.
Therefore, the number of ways to select 12 disks from a total of 55 disks is 1.171 x 10¹⁰.
We have used the counting technique C for this part.
B. We want to select five good and seven defective disks from the total of 20 + 35 = 55 disks.
The order of selection does not matter; it is a combination problem. We can select 5 good disks from 35 good disks in C(35, 5) ways. We can select 7 defective disks from 20 defective disks in C(20, 7) ways. So, the number of ways to select five good and seven defective disks is:
C(35, 5) × C(20, 7) ≈ 1.050 x 10¹⁰.
Therefore, the number of ways to select five good and seven defective disks is approximately 1.050 x 10¹⁰.
We have used the counting technique C for this part.
C. We want to select either 3 good and 9 defective disks or 5 good and 7 defective disks.
The order of selection does not matter; it is a combination problem. For selecting 3 good and 9 defective disks, we can select 3 good disks from 35 good disks in C(35, 3) ways.
We can select 9 defective disks from 20 defective disks in C(20, 9) ways.
For selecting 5 good and 7 defective disks, we can select 5 good disks from 35 good disks in C(35, 5) ways.
We can select 7 defective disks from 20 defective disks in C(20, 7) ways.
Therefore, the number of ways to select either 3 good and 9 defective disks or 5 good and 7 defective disks is:
C(35, 3) × C(20, 9) + C(35, 5) × C(20, 7) ≈ 6.875 x 10⁹.
Therefore, the number of ways to select either 3 good and 9 defective disks or 5 good and 7 defective disks is approximately 6.875 x 10⁹.
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I wills end you a picture
The rate of change is represented by the slope of each club.
For Club A is 12.
For Club B we calculate using the formula
\(m=\frac{y2-y1}{x2-x1}\)\(\begin{gathered} m=\frac{42-21}{2-1} \\ m=\frac{21}{1}=21 \end{gathered}\)The value is 21.
For Club C we apply the same formula and use the poins shown in the graphic
\(\begin{gathered} m=\frac{70-40}{3-1} \\ m=\frac{30}{2} \\ m=15 \end{gathered}\)For club D the slope is the value that is paid each month
which in this case is $20
According to this the greatest rate of chande is for Health Club B
x=4y+7 2x-6y=12 System of equations using substitution
Answer:
x=3, y=-1
Step-by-step explanation:
We are already given an equation solved for x, making substitution much easier. We know x=4y+7, meaning we can put 4y+7 whenever we see x in the second equation
2x-6y=12
We substitute 4y+7 in place of x
2(4y+7)-6y=12
Now we only have one variable to work on, distribute the 2
8y+14-6y=12
Combine similar terms, 8y-6y=2y
2y+14=12
Subtract 14 from both sides
2y=-2
y=-1
Now we plug in -1 for y in the first equation to find x
x=4(-1)+7
x=-4+7
x=3
The required solution of the given system of equations are x = 3 and y = -1.
What is the equation?The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
The given system of equations is below as:
x = 4y + 7 ....(i)
2x - 6y = 12 ....(ii)
To solve the equations, use the substitution method.
Substitute the value of equation x = 4y+7 in (ii), and solve for y
2(4y + 7) - 6y = 12
8y + 14 - 6y = 12
8y - 6y = 2y
2y + 14 = 12
Subtract 14 from both sides of the equation
2y = -2
y = -1
Substitute the value of y = -1 in (i), and solve for x
x = 4(-1) + 7
x = -4 + 7
x = 3
Thus, the required solution of the given system of equations are x = 3 and y = -1.
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Suppose V is finite-dimensional. Prove that every linear map on a subspace of V can be extended to a linear map on V. In
other words, show that if U is a subspace of V and S â L(U, W), then there exists T â L(V, W) such that Tu = Su for all
u â U.
To prove that every linear map on a subspace of V can be extended to a linear map on V. We have to show that there exists a linear map T from V to W that extends S and satisfies Tu = Su for all u in U.
Let U be a subspace of a finite-dimensional vector space V, and let S be a linear map from U to another vector space W. du in U.
Since V is finite-dimensional, ready to select a premise {u1, u2, ..., um} of U and expand it to the premise {u1, u2, ..., um, v1, v2, ... increment. Let {w1, w2, ..., wk} be the premise of W.
You can define T using the base elements of V as follows:
T(uj) = S(uj) for j = 1, 2, ..., m (since uj is in U and S is a linear map from U to W)
T(vi) = 0 for i = 1, 2, ..., n (to ensure that T is a linear map)
We can extend T linearly to all of V by defining T as
For any vector v in V, we can write v as a linear combination of basis elements.
v = a1u1 + a2u2 + ... + amount + b1v1 + b2v2 + ... + bnvn
Then we can define T(v) as
T(v) = a1T(u1) + a2T(u2) + ... + amT(um) + b1T(v1) + b2T(v2) + ... + bnT(vn)
Structurally, this definition of T agrees with the definition of S on the subspace U, since T(uj) = S(uj) for j = 1, 2, ..., m. Since T is a linear map on V, it is also well-defined and satisfies the linear property.
T(cv + w) = cT(v) + T(w)
For every vector v, w in V, and every scalar c. Thus, we showed that there exists a linear map T from V to W that extends S and satisfies Tu = Su for all u in U.
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3.
Stacey has a part-time job.
She earns £8 an hour.
She wants to buy a new smartphone costing £220.
How many hours does she need to work to earn enough to buy it?
Answer:
28 hours
Step-by-step explanation:
Divide the total cost of the new smartphone by how much Stacey earns per hour.
220 / 8 = 27.5
Round the quotient up to the nearest whole number to get your answer. We do this because Stacey would not get paid for only working part of an hour.
28
a right circular cylinder, a, has radius r and height h. another right circular cylinder, b, has radius 3r and height 2h. what is the ratio of the volume of a to the volume of b ?
The ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b is 1: 18.
According to the given question.
We have two right circular cylinder, a nd b.
Also,
The radius of right circular cylinder, a is r.
The height of the right circular cylinder, a is h.
The radius of the right circular cylinder, b is 3r.
And the height of the right circular cylinder, b is 2h.
As we know that, the volume of a cylinder can be calculated using the formula V=πr^2(h). Where r is the radius and h is the height of the cylinder.
So, the volume of the right circular cylinder a = πr^2h
And, the volume of the right circular cylinder b = π(3r)^2(2h) = 18hr^2π
Therefore,
The ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b
= πr^2h/18hr^2π
= 1:18
Hence, the ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b is 1: 18.
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A pie chart is to be constructed showing the football teams supported by 37 people. How many degrees on the pie chart would represent one person? Give your answer to three significant figures.
The number of degrees that will represent each football team member would be = 9.73°.
How to calculate the degree measurement of each individual?Pie chart is a type of data presentation that is circular in shape and has an internal degree that is a total of 360°.
The total number of people in the football team = 37
Therefore the quantity of degree measurement for each individual = 360/37 = 9.73°.
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Please help!!!!!!!!!
Answer:
8/125
Step-by-step explanation:
What is 55.736 rounded to 2 decimal places?
Answer: 55.74
Step-by-step explanation:
which of the following properties are used in multiplying polynomials together? symmetry commutative distributive transitive associative
To multiply polynomials together, use distributive property. With the distributive property, it is possible to multiple a sum by multiplying each term independently, then adding the products together.
A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division.
Example:
2y³ + 5y + 88x³ + 7x² + y -1The distributive property is an algebra property that allows you to multiply a single term with two or more terms enclosed by parentheses. Understand how distributive property works, can help you to multiply polynomials easily.
Example:
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Answer: Commutative, Distributive, Associative
Step-by-step explanation:
please help ill mark brainliest
Answer: She is correct because the average of the numbers 2, 3, 1, 4, 5, 2, 3, 4, 3, is 3.
Step-by-step explanation:
To find average you add all of the listed numbers, (2, 3, 1, 4, 5, 2, 3, 4, 3) which is 27. You then divide 27 by the amount of listed numbers, which is 9. 27 divided by 9 is 3. There for the average amount of strokes it takes to hit the ball into the hole of each green is 3.
Hope this helps! Please rate, it helps me know if I am explaining the answers well enough or not!! Thank you!<3
HELPPPPpPPPZZZ PLZZZZ I NEED HELLPP
Answer:
The triangles are lined up with their correct pairs already.
Step-by-step explanation:
The leg that is the base is always seen as the bottom, and the leg to the side of it that makes the right angle will always be the height. Though if the base is at the hypotenuse as it is seen in the last photo, the height will be from the point of which the two legs of the triangle meet down to the hypotenuse.
what is sin 45 degrees
Answer:
45 degree is an acute Angle
Step-by-step explanation:
Please mark as brain list
At a wedding there were 40 people from gromms side and 56 people from bride's family at the wedding
find the ratio of the groom's family to the bride's family at the wedding
Answer:
5 : 7
Step-by-step explanation:
groom's side: 40
bride's side: 56
ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7
Answer: 5 : 7
SERIOUSLY NEED HELP HOT 10 MINUTES LEFT!! PLS HELP I WILL GIVE BRANLIEST!! AT LEAST COME TAKE A LOOK!!! MY FINAL QUESTIONS!SERIOUSLY NEED HELP HOT 10 MINUTES LEFT!! PLS HELP I WILL GIVE BRANLIEST!! AT LEAST COME TAKE A LOOK!!! MY FINAL QUESTIONS!
Answer:
D
Step-by-step explanation:
You take the area of the square minus the area of the circle.
I really need help. Can you please show your work too.
Answer:
Step-by-step explanation:
You just combine common variables.
8a^5 -4
3a^5 + a -2
11a^5 + a -6
The solution to the first is 11a^5+a-6.
The second:
3x^2 -2x + 1
-x^2 + 3x + 1
2x^2 + x + 2
2x^2+x+2
What might be 3 reasons that a grocery store would have higher prices on items than another store
Answer:
Different Distributor Pricing. Supermarkets pay different prices for the same product through distributors.The difference in Quality.Different Supplier Deals.A stack of Sunday newspapers sits on a skid 3" off the ground.
Each newspaper is 13" thick.
a. How high is the stack if there are n newspapers in it?
b. If the top of the stack is 3' high, about how many newspapers
are in the stack?
Answer: a. 3+13n
b. About 3 newspapers
Step-by-step explanation:
a. T=total thickness of newspapers on a skid in inches
T=3+13n
b. 3'=3 ft
1 ft=12 inches
3 ft=3*12 inches
3 ft=36 inches
36=3+13n
13n=33
n=2.54 ==> About 3 newspapers
Help me with this please!!!!
the first one is C
the second one is D
the third one is B
and the last one is A
All you want to do is count up the y-intercept when it crosses and that gives you the last number (b).
This triangle can only have one altitude.
A.True
B. False
C.It can have four
Help please.
Answer:
(B) false, because triangle have three altitude.
A line containing the points (9, 1) and (5, 5) intersects the x -axis at what point?
Answer:
It intersects the x-axis at x = 10
Step-by-step explanation:
Step 1: Find slope m
m = (5 - 1)/(5 - 9)
m = 4/-4
m = -1
y = -x + b
Step 2: Find b
5 = -5 + b
b = 10
Step 3: Rewrite equation
y = -x + 10
Step 4: Find x when y = 0
0 = -x + 10
-10 = -x
x = 10
So the graph crosses the x-axis at 10.
if i buy 2 chicken and 3 boxes of stuffing how much change will i get from 20 pound ? chicken is £2.65 sage onion stuffing is £1.15 per box
2. You are rolling a number cube. What is the probability that you will roll a
3? Answer in fraction form only.
Answer:
Step-by-step explanation:
1/2
Write each statement as an algebraic expression.The quotient of the number that is 1 greater than a number b and the number that is twice as large as b.
(b+1)/2b
quotient = divided by
we're dividing a number that is 1 more than b (b + 1), with a number twice as large as b (2b).