Answer:
4:6
Step-by-step explanation:
2 x
- = ----
3 6
6/3 = 2
2 x 2 = 4
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.
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How do you find out What is 3/8 x 4?
Answer: 1.5 (Decimal Form) or 3/2 (Exact Form)
Step-by-step explanation:
So what you do is put the whole number which in this case is 4, into a fraction so your problem will look like this:
3 / 8 * 4 / 1 =
Then, you will have to multiply all the numbers across:
3 * 4 = 12
8 * 1 = 8
Your answer will then look like this:
12 / 8
You will have to simplify with the greatest common factor which would be 4:
12 / 4 = 3
8 / 4 = 2
So, you get your answer:
3 / 2 or 1.5
find the value of k if it is known that the line y=kx goes through the point B(-30,3)
Answer:
k = -0.1
Step-by-step explanation:
An ordered pair is in the form (x,y) We can use the x and y from the point (-30,3) to find k
y = kx We will replace x with -30 and y with 3
3 = (-30)k divide both sides by -30
-0.1 = k or \(\frac{-1}{10}\) in the fraction form
39. From the top of a vertical cliff 50 meters high, the angles of depression of an object that is levelled with
the base of the cliff is 30°. How far is the object from the base of the cliff?
A. 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
41. From the top of the building of a food chain, the angle of depression from where Miguel stands is
45°. If the building is 12 meters high, how far is he from it?
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
42. A plane, at an altitude of 3,000 feet, observes the airport at an angle of 27°. What is the
horizontal distance between the plane and the airport to the nearest foot?
A. 3,000 feet
B. 4,000 feet
C. 5,000 feet
D. 6,000 feet
43. An escalator has an angle of elevation of 10° and a vertical rise of 6 m. Find the length of the
escalator.
C. 34.55 m
D. 36 m
A. 6,09 m
B. 34,03 m
Answer: cos4
Step-by-step explanation: 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
Brett and Andy applied for the same credit card from the same bank. Brett was given a card with an APR of 12.6%. What was his monthly percentage rate? Andy was given a card with an APR of 16.2% what was his monthly percentage rate? if each of them had an average daily balance of $7,980, and had to pay a finance charge, how much more would. Andy pay than Brett?
Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.
To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.
For Brett:
APR = 12.6%
MPR = 12.6% / 12 = 1.05%
For Andy:
APR = 16.2%
MPR = 16.2% / 12 = 1.35%
Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.
For Brett:
Finance charge = $7,980 * 1.05% = $83.79
For Andy:
Finance charge = $7,980 * 1.35% = $107.73
To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:
Difference = $107.73 - $83.79 = $23.94
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PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.
Answer and Step-By-Step Explanation:
The point shown is marked at (36,82), meaning that the panda is 36 months old and weighs 82 kilograms. To plot the next point, just go up from 110 on the graph to 90 and mark a point. (Sorry I tried to put an image but it was extremly blurry.)
Based on the information in the two-way table, what is the probability that a person
selected at random both bikes and runs?
Round your answer to the nearest tenth of a percent.
Answer:
Step-by-step explanation:
which is bigger 0.5 or 9%
this answer is 9% it is bigger than 0.5
What is the domain of the profit function P= 11w+6Z?
O A. Defined for all w> 0 and 2 2 0
O B. Defined for all w 2 0 and z> 0
O c. Defined for all w> 0 and z> 0
D. Defined for all w20 and 22 0
Answer:
defined for all w greater than or equal to 0 & z greater than or equal to 0
Step-by-step explanation:
The domain of value defined as w>0 and z>0. Therefore, option C is the correct answer.
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
The given function is P=11w+6z.
Since, P is profit here, consider w values greater than zero and z values also greater than zero.
Therefore, option C is the correct answer.
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Review
Bookmark
020-2021 I 2 of 9
v m2
The surface area of the figure is Choose...
Choose...
18 m
637
14
44
13 m
13 m
3,510
Step-by-step explanation:
the surface area is my head times my leg which is basically my eyes
Ray cuts out A. Figure that has 4 equal sides and no right angles what is the best name for the figure
Answer:
rhombus
Step-by-step explanation:
Answer:
rhombus
Step-by-step explanation:
A rhombus has four congruent sides, and does not necessarily have to have right angles. (A square is considered a rhombus and has four right angles, so that is the only exception). So, your answer would be rhombus!
Hope this helped! ;)
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?
Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
what is inequality ?
An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."
So, the inequality would be:
Temperature < 8 degrees Fahrenheit
Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
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Find two 2 possible value of the geometric mean of 16 and 36
Answer:
\(\pm24\)
Step-by-step explanation:
To find the geometric mean of two numbers, you find their product and then take the square root of that product:
\(GM=\sqrt{16*36}=\sqrt{576}=\pm24\)
write the below algebraic expression
in words
3x+ (x)=10
2
Answer:
Step-by-step explanation:
What is the solution for x in the equation?
-2x + 14 + 10x = 34
A.
B.
C.
D.
Answer: 2.5
Step-by-step explanation:
-2x + 14 + 10x = 34
8x + 14 = 34
8x = 34 - 14
8x = 20
x = 20/8
x = 5/2
x = 2.5
If Mr. Vasquez can run 8 miles in 2 hours, then how many miles can he run in 1 hour?
I NEED HELPP nOw!!!!! pLz?!
Answer: four
Step-by-step explanation:
8/2=4
Give the POINT SLOPE equation of the line
that contains:
f(-1) = -7 and f(3) = -6.
This is one way we can represent a linear equation:
\(y-y_1=m(x-x_1)\)
\((x_1,y_1)\) is a point that falls on the line\(m\) is the slopeSolving the QuestionWe're given:
Line contains \(f(-1) = -7\) and \(f(3) = -6\)These functions give us information on two points, as they are represented as \(f(x)=y\):
\(f(-1) = -7\) ⇒ (-1, -7)\(f(3) = -6\) ⇒ (3,-6)First, solve for the slope:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
⇒ Plug in the two points:
\(m=\dfrac{-6-(-7)}{3-(-1)}\\\\m=\dfrac{-6+7}{3+1}\\\\m=\dfrac{1}{4}\)
⇒ Plug this into \(y_2-y_1=m(x_2-x_1)\):
\(y-y_1=\dfrac{1}{4}(x-x_1)\)
Now, there are two ways we can write this equation, as we are given two points:
(-1, -7)
⇒ \(y-(-7)=\dfrac{1}{4}(x-(-1))\\y+7=\dfrac{1}{4}(x+1)\)
(3,-6)
⇒ \(y-(-6)=\dfrac{1}{4}(x-(3))\\y+6=\dfrac{1}{4}(x-3)\)
Answer\(y+7=\dfrac{1}{4}(x+1)\) or \(y+6=\dfrac{1}{4}(x-3)\)
Lisa collected leaves from different trees for a science project. Every day for a week (7 days), she collected 7 leaves. How many leaves did she collect by the end of the week?
Mr. Harrison is going to offer tutoring after school. He is going to charge each student a $35 fee and then $15.50 per hour of tutoring. Which equation represents the total cost for each student to attend Mr. Harrison's tutoring session, if the student spend x number of hours in tutoring.
The student spends x hours tutoring, so y = 15.50x + 35, where x is the number of hours of tutoring and y is the total cost. Therefore, the total cost for a student who receives tutoring for two hours is $66.
What do you mean by tutoring?According to the dictionary definition, a tutor is a person who provides one-on-one or occasionally small-group teaching. The goal of tutoring is to enable students to help themselves, or to support or mentor them until they reach the point at which they are self-sufficient learners and no longer require a tutor.
Tutoring – a teacher's job?Tutors have the ability to, and frequently do, teach students new things. However, when comparing tutoring with teaching, what is being taught is the main difference. Teachers are meant to teach students new content, and tutors teach students how to learn new content.
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If you drive 72 miles and use 6 gallons of gas, what is your rate
Answer:
Well, it depends if you are asking the rate per gallon it would be 12 miles per gallon.
Find the radius of of a circle that has a circumference of 16
Answer:
\(\boxed{Radius=25.13}\)
Step-by-step explanation:
Circumference of Circle = \(2\pi r\)
Where C = 16
=> 16 = 2πr
Dividing both sides by 2π
=> r = \(\frac{16}{2\pi }\)
=> r = 25.13
If I worked from 2:30pm to 7:00pm. How many hours did work?
Answer:
4.5 hours
Step-by-step explanation:
fbdjdbercyTxxivdu
Answer:
Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.
What is -(9) fourth power
Answer:-9 to the fourth power is -6561
Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.
Please give brainliest if right.
Answer:
-6561
Step-by-step explanation:
\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)
215 divided by 32 with remainder
quotient is 6 and the remainder is 23
Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q
Floyd needs 33 matches to make a rectangle with a length of 20 matches.
To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.
From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.
Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.
First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.
Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.
Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.
Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.
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Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 185 degrees Fahrenheit when freshly poured, and 3 minutes later has cooled to 167 degrees in a room at 60 degrees, determine when the coffee reaches a temperature of 137 degrees.
Answer:
9.4 secs
Step-by-step explanation:
From Newton's law of cooling;
T(t) = Ts + Do e^-kt
Where;
D0= initial temperature difference
Ts= Temperature of the surroundings
t= time
K = positive constant
Do = 185 - 60 = 125 degrees
167 = 60 + 125 e^-3k
167 - 60 = 125 e^-3k
107/125 = e^-3k
ln(e^-3k) = ln(107/125)
-3k = -0.1555
k = 0.1555/3
k = 0.0518
Substituting the value of k to find the time taken to reach 137 degrees
T(t) = Ts + Do e^-kt
137 = 60 + 125 e^-(0.0518t)
137 - 60 = 125 e^-(0.0518t)
77 = 125 e^-(0.0518t)
e^-(0.0518t)= 77/125
ln [e^-(0.0518t)] = ln(77/125)
-0.0518t = -0.4845
t = 0.4845/0.0518
t = 9.4 secs
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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help with math problems.
Answer:
yes.
Step-by-step explanation:
cause yes.
he dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.
Alternative text
Use each data set to make an inference about the number of fish caught each day.
A.
On average, most participants caught and released 5 or more fish.
B.
More participants caught 6 fish than any other number.
C.
The same participants who caught and released 1 fish the first day caught and released 1 fish the second day.
D.
On average, participants caught and released more fish on Day 2.
Answer:
B
Step-by-step explanation:
More participants caught 6 fish than any other number.
We have given that,
The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.
What is the random sample?A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
More participants caught 6 fish than any other number.
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\(9 + 3 (10 ÷ 2) - 5^2\)
\(9+3(10 \div 2)-5^2\\\\=9+3(5)-25\\\\=-16+15\\\\=-1\)