Let's multiply 3/10 by 1/2.
\(\frac{3}{10}\cdot\frac{1}{2}=\frac{3}{20}\)In this case, the product is less than 3/10. This the first example that agrees with Elizabeth's claim.
However, if we multiply 3/10 by 5/2, the result will be greater
\(\frac{3}{10}\cdot\frac{5}{2}=\frac{15}{20}=\frac{3}{4}\)Where 3/4 is greater than 3/10. This example does not agree with Elizabeth's claim.
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
For more such questions on rank
https://brainly.com/question/28839672
#SPJ8
I need help with this question please.
Answer:
12
Step-by-step explanation:
We know that ,
Sum of all exterior angles of a polygon = 360° .So that ,
5x+4 + 4x+9 + 9x-6 + 4x+1 + 7x+4 = 36029x +12 = 360 29x = 348 x = 348/29 x = 12Convert 0.132 to a percent
Answer:
13.2%
Step-by-step explanation:
Step-by-step explanation:
13.2% chctxtxycfyyfgy
how do i go about finding x° and ycm, please?
I've tried Sine Rule & Cosine Rule... I thought i had done it correctly until i worked out the angles added up to much higher than 180° so it cannot be correct... can anyone help?
From the solution;
x = 62.62°
y = 8.9 cm
What is the sine rule?The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.
By the use of the sine rule;
a/Sin A = c/Sin C
Sin C = cSin A/a
C = Sin-1(cSin A/a)
C = Sin-1(7.8 * sin 66.4/9.2)
C = 50.98°
B = 180 - (50.98° + 66.4)
B = 62.62°
Then;
a/Sin A = b/Sin B
9.2/Sin66.4 = b/Sin 62.62
b = 9.2 * Sin 62.62/Sin66.4
b = 9.2 * 0.89/0.92
b = 8.9 cm
Learn more about sine rule:https://brainly.com/question/30339234
#SPJ1
If V = 15 cm, W = 20 cm, X = 25 cm, Y = 7 cm, and Z = 22 cm, what is the perimeter of the object?
A.
53 cm
B.
64 cm
C.
118 cm
D.
78 cm
Answer:
Sum of all the sides.
Step-by-step explanation:
Perimeter is the sum of the distance in length or width, or height or circumference of all the sides of an object.
Therefore the sum total of the given sides V, W, x ,Y, Z are;
15 +20 + 25 + 7 + 22 = 89cm
Since a picture isn't available to know which sides of the objects can be added.
An AlienWare computer cost $4,200. You have a 35% coupon for their products. How much are you able to purchase the computer for?
Answer:
$1470 coupon of their product I have
are the triangles congruent ?
Answer:
yes its sss
Step-by-step explanation:
Answer:
SSS BECAUSE THE TRIANGLE IS GOING UP AND DOWN SO 5% of it so SSS
if a function of one variable is continuous on an interval and has only one critical number, then a local maximum has to be an absolute maximum. But this is not true for functions of two variables. Show that the function f(x,y)=3xe^(y)-x^(3)-e^(3y) has exactly one critical point, and that f has a local maximum there that is not an absolute maximum. Then use a computer to produce a graph with a carefully chosen domain and viewpoint to see how this is possible
There is only one critical point for the provided function, and it has a local maximum there rather than an absolute maximum.
Explain the term Critical points?The critical point is a location in the domain of a function where the derivative is either equal to zero or the function is not differentiable when dealing about functions of real variables.Using the D(a,b), we may identify the important points of the a two-variable function and categorize them in Relative or Saddle Points.The given function is;
f(x,y) = 3xe^(y) - x^(3) - e^(3y)
First partial derivatives:
fx = 3e^(y) - 3x^(2)
fy = 3xe^(y) - 3e^(3y)
Second partial derivatives:
f(xx) = -6x
f(yy) = 3xe^(y) - 9e^(3y)
f(yx) = 3e^(y)
Thus,
fx = 0 ⇒ 3e^(y) - 3x^(2) = 0
fy = 0 ⇒ 3xe^(y) - 3e^(3y) = 0
The possible critical point is: (1,0)
Second derivative test for:
Point: (1,0)
f(xx)(1,0) = -6
f(yy) (1,0) = -6
f(xy)(1,0) = 3
Now,
D(a,b) = f(xx)(a,b) . f(yy)(a,b) - [f(xy)(a,b)]²
Thus, (a,b)for (1,0);
D(1,0) = f(xx)(1,0) . f(yy)(1,0) - [f(xy)(1,0)]²
D(1,0) = -6 - 6 -9
D(1,0) = 27
Thus, the given function has only one critical point and has a local maximum there that is not an absolute maximum.
To know more about the Critical points, here
https://brainly.com/question/12476632
#SPJ4
no links Use the model to answer the question.
Two 10 by 10 grids are connected, creating a rectangle with 20 columns. 11 columns are shaded. 2 rows are shaded. 22 squares are in the overlap.
Which is the missing factor that makes the equation true?
___
×
1
.
1
=
0
.
22
A.
0.02
B.
0.2
C.
2
D.
20
Answer:
im cunfuse
Step-by-step explanation:
Answer:
b....
Step-by-step explanation:
I DONT KNOW
Ms.Johnson wants to buy donuts for her science class, she wants to buy 8 glazed donuts, 12 chocolate donuts, and 16 jelly donuts. What is the ratio of the number of glazed donuts to the total number of donuts?
Answer:
8/36
Step-by-step explanation:
8. Amy has $30 to spend. She wants to buy pounds of lemons at $2 per pound, a box for $4, and 7 frozen dinners for $3 each Choose True or False for each statement. A She will not have enough money to buy everything O True O False 8 She will have $1 left over. O True O False C The total cost is $39. O True O False
Answer:she will actually need 1 dollar because all of that would be 31 dollars.
Step-by-step explanation:
3 pounds of lemons= $6
1 box of rice= $4
7 frozen diners= $21
6+4=10
10+21=31
Find the area of the polygon.
Answer:
14
Step-by-step explanation:
Hello There!
The following polygon shown is a triangle with the following dimensions
height - 4
base - 7
Given this information we need to find the area
Remember the formula for area of a triangle is
\(A=\frac{1}{2} bh\)
where b = base and h = height
given the information all we need to do is plug in the values into the formula
so...
\(A=\frac{1}{2} 4*7\\4*7=28\\\frac{28}{2} =14\\A=14\)
Hence, the area of the triangle is 14 square units
In a theater there are 15 chairs in the first row, each row has 3 more chairs than the previous
row, and there are 17 rows. How many chairs are in the theater? (10 points)
Answer:663
Step-by-step explanation:
The first row is 15,so you have to add three from the first row you and you get 18 and then you keep going and going till you get to the 17th row then you add the numbers together.
d) A shopkeeper bought two radios for Rs 6,000. He sold one of them at a profit of 20℅
and the other at a loss of 10%. If he gained 2% on his total outlay, at what
he buy each radio?
Answer:
2400 and 3600
Step-by-step explanation:
Radio 1 cost = x
Radio 2 cost= 6000- x
x*1.2+(6000-x)*0.9= 6000*1.021.2x-0.9x+5400=61200.3x= 6120-54000.3x= 720x=720/0.3x= 24006000- x= 3600Can some one help me understand this?
Answer:
0 cavities
minimum is 0 cavities. there are people having 0 cavities. see the graph.
hope it helps!
Answer:
0
Step-by-step explanation:
The minimum is the smallest value in the dataset. The smallest number of cavities is 0.
please give thanks by clicking the heart button! :)
fnd the highest common factor of -8xy and 20y
Answer:
\(\huge\boxed{\boxed{2}\cdot\boxed{2}\cdot\boxed{y}=4y}\)
Step-by-step explanation:
\(-8y=-2\cdot\boxed{2}\cdot\boxed{2}\cdot \boxed{y}\\\\20y=\boxed{2}\cdot\boxed{2}\cdot5\cdot\boxed{y}\)
35 Please help with this question.
The critical values are 0.622, 0.707, 0.789 and 0.834
How to determine the critical values?The sample size is given as:
n = 8
Calculate the degrees of freedom using
df = n - 2
So, we have:
df = 8 - 2
df = 6
Using the table of values of critical values, we have:
Critical values = 0.622, 0.707, 0.789 and 0.834
By comparing the critical values and the linear correlation coefficient, we can conclude that there is no significant linear correlation.
Read more about linear correlation at:
https://brainly.com/question/17237825
#SPJ1
Pls help with these
Answer:
(0,-11)
(1,-2)
(2,1)
(3,-2)
(4-11)
? Question
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What is a value of √7 inches to the nearest hundredth?
The value of √7 to the nearest hundredth is 2.65.
What is Square root?
A square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
Here, given number;
y = \(\sqrt{7}\)
y = 2.64575....
y = 2.65
Thus, the value of √7 to the nearest hundredth is 2.65.
Learn more about Square root from:
https://brainly.com/question/3120622
#SPJ1
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
If Event A is "the card is black" and Event B is "the card is a king," demonstrate the equation holds true.
Event A = the card is black
Event B = the card is a king
For the equation to hold true:
\(\begin{gathered} P(A\text{ and B) = }P(A|B)\times P(B) \\ P(\text{card is black and a king) = P(}card\text{ is black|card is king)}\times\text{ P(card is king)} \end{gathered}\)\(\begin{gathered} \text{There are 4 kings in a deck} \\ P(A|B)\text{ = }\frac{1}{4} \\ P(B)=\text{ }\frac{4}{52} \\ P(A\text{ and B) = }\frac{1}{4}\times\frac{4}{52}\text{ = }\frac{1}{52} \end{gathered}\)\(\begin{gathered} \text{There are 26 blacks in a deck} \\ P(B|A)\text{ = }\frac{1}{26} \\ P(A)=\text{ }\frac{26}{52} \\ P(A\text{ and B) = }\frac{1}{26}\times\frac{26}{52}\text{ = }\frac{1}{52} \end{gathered}\)\(\begin{gathered} \text{Hence, the equation holds true:} \\ \text{for }P(A\text{ and B) = }P(A|B)\times P(B) \\ \frac{1}{52}=\frac{1}{4}\times\frac{4}{52} \\ \end{gathered}\)The bookstore marked some notepads down from $2.00 but still kept the price over $1.00. It sold all of them. The total amount of money from the sale of the pads was $31.45. How many notepads were sold? What was the price of each notepad?
Answer: i think 16
Step-by-step explanation:
Please hurry only have 5 minutes Will make you Brainliest.
Which of the following statements are true?
The product of two numbers with the same sign is negative.
The quotient of a positive dividend and a negative divisor is positive.
The quotient of 0 and a positive number is undefined.
II and III
I and III
I and II
None of the statements are true.
Answer:
none of them are true
Step-by-step explanation:
how do i use what i know about adding integer to add rational numbers
Answer:
Rational number are any number that can be made into a fraction and since integers are a type of rational number you can use that to solve your math problem.
Step-by-step explanation:
(This might not be a good explanation but I hope you understand what I am trying to say here)
Hope this helps :)
American Vending supplies vended food to a large university. Because students often kick the machines out of anger and frustration, management has a constant repair problem. The machines break down in a mean of 3 hours with a standard deviation of 3 hours. One repair worker can service one machine in a mean of 2 hours with a standard deviation of 2 hours. Currently, TWO repair workers are hired. Average flow time (W) was calculated as 2.305 from the posted queueing template. --- Average down machines in the entire system (L) are ___.
Answer:
0.77
Step-by-step explanation:
From the information given:
The breakdown time (a)= 3 hours
The breakdown rate (λ) = 1/a = 1/3
Average flow time in the system (W) = 2.305 hours
For the entire system;
The average down machines L = Wλ
= 2.305 × (1/3)
= 0.77
point H is between G and I and GI=50. Use postulate to slove for x.
GH= 4x - 6
HI= 2x + 2
The value of x is equal to 4 units.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since H is the midpoint of line segment GI, we can logically deduce the following relationship:
Line segment GI = Line segment GH + Line segment HI
Line segment GH = Line segment HI
By substituting the given line segments into the equation above, we have the following:
4x - 6 = 2x + 2
4x - 2x = 6 + 2
2x = 8
x = 8/2
x = 4 units.
Read more on midpoint here: brainly.com/question/17918978
#SPJ9
Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
learn more on set here: https://brainly.com/question/29484130
#SPJ1
what weight of flowers will each person get if 3 people share 1/3 lb of flower equally??
Answer:
Personally, I think 1/9 lb.
<Plis choose me as brainliest!>
Relative intensity of 9 decibels is how many times higher than that of 8 decibels
Answer:
what do you mean by land ?
The intensity of sound is proportional to the square of its amplitude.
Thus, if I9 and I8 are the intensities of sounds at 9 decibels and 8 decibels respectively, then:
I9/I8 = (10^(9/10))/(10^(8/10))
I9/I8 = 10^(0.1)
I9/I8 = 1.2589
Therefore, the relative intensity of 9 decibels is approximately 1.26 times higher than that of 8 decibels.
May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!
Is the relation shown in the table below a function? (type in yes or no)
Answer:
Yes
Step-by-step explanation:
To know if a table is a function or not, we have to see if 1 input only has 1 output.
Looking at the table each input only has 1 output, so it is a function.