Answer:
2nd one
<qup=180-45=155(linear pair)
1.4.14. True or false: (a) Every elementary permutation matrix satisfies p² = 1. (b) Every permutation matrix satisfies P2 = I. (c) A matrix that satisfies P2 = I is necessarily a permutation matrix.
11.15(a) Lot P and O ba
(a) The statement "Every elementary permutation matrix satisfies p² = 1 is false.
(b) The statement "Every permutation matrix satisfies P² = I is false.
(c) The statement "A matrix that satisfies P² = I is necessarily a permutation matrix" is true.
(a) An elementary permutation matrix is a square matrix that has exactly one entry of 1 in each row and each column, with all other entries being 0. When we square an elementary permutation matrix, p², the resulting matrix will have more than one entry of 1 in at least one row or column. Therefore, the statement p² = 1 is false for every elementary permutation matrix.
(b) A permutation matrix is a square matrix that represents a permutation of the rows or columns of the identity matrix. When we square a permutation matrix, P², the resulting matrix will still represent the same permutation, but the order of the rows or columns may change. In general, P² ≠ I, so the statement P² = I is false for every permutation matrix.
(c) A matrix that satisfies P² = I is necessarily a permutation matrix. This statement is true. A permutation matrix represents a permutation of the rows or columns of the identity matrix. When we square a permutation matrix, the resulting matrix will still represent the same permutation, but the order of the rows or columns may change. Therefore, any matrix that satisfies P² = I must be a permutation matrix.
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Dio has to make a dozen donuts in 10 minutes. He uses ZA WARUDO to stop time and make 5 donuts.
How many donuts left does he have to make?
Answer:
7donuts
Step-by-step explanation:
a dozen is 12 items
he stopped time and made 5 which means 7are left
7+5=12
Write the Recursive form and next of the following sequence
8,10,12,14,16...
Answer:
Step-by-step explanation:
The recursive form is a(n + 1) = a(n) + 2, with a(1) = 8.
The next term is a(6) = a(5) + 2, which heere is a(6) = 16 + 2 = 18
Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero numbers. 7x^(-4)
The evaluated value of the expression 7x^(-4) is approximately 0.4375. he expression 7x^(-4) can be rewritten with only positive exponents as 7/x^4. If x represents a nonzero number, we can evaluate this expression by substituting a value for x.
To rewrite the expression 7x^(-4) with positive exponents, we use the rule that states x^(-n) is equivalent to 1/x^n. Applying this rule, we have:
7x^(-4) = 7/(x^4)
Now, if x represents a nonzero number, we can substitute a value for x to evaluate the expression. For example, if x = 2:
7/(2^4) = 7/16 = 0.4375
Therefore, when x = 2, the evaluated value of the expression 7x^(-4) is approximately 0.4375.
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Please help me
Three plus two times a number is seven less than four times a number.
What is that number?
Answer:
5
Step-by-step explanation:
3+2x = 4x-7
3+7=4x-2x
x=5
Answer:
Let the number be x
According to given conditions,
3 + 2x = 4x - 7
3 + 7 = 4x - 2x
10 = 2x
2x = 10
•°• x = 10/2
•°• x = 5
The number is 5.
PLEASE HELP I REAALLY NEED HELP!
The domain of the exponential function in this problem is given as follows:
0 ≤ n ≤ 5.
How to obtain the domain of the exponential function?The exponential function in this problem is defined by the rule presented as follows:
g(n) = 10(1.02)^n.
In which the variables are listed as follows:
n is the number of days.g(n) is the height of flower after n days.When the study was finished, the height of the flower was of 11.04 inches, hence the day at which the study was finished is obtained as follows:
10(1.02)^n = 11.04
(1.02)^n = 11.04/10
log[(1.02)^n] = log(11.04/10)
Applying the logarithm of power property, we have that:
nlog(1.02) = log(11.04/10)
n = log(11.04/10)/log(1.02)
n = 5.
The domain is the number of days for which the student was realized, hence:
0 ≤ n ≤ 5.
As the number of days cannot assume negative values.
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how do u do thissss??
reflect this shape in the line y=x :)
Answer:
the x-coordinate and y-coordinate change places.
Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
Write the expression in standard form a+bi: (8-i)/(2+i)
Answer:
The expression (8-i)/(2+i) in standard form is, 3 - 2i
Step-by-step explanation:
The expression is,
(8-i)/(2+i)
writing in standard form,
\((8-i)/(2+i)\\\)
Multiplying and dividing by 2+i,
\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)
Hence we get, in standard form, 3 - 2i
The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).
To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.
The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:
(8-i)/(2+i) * (2-i)/(2-i)
Using the distributive property, we can expand the numerator and denominator:
(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))
Simplifying further:
(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)
Since i^2 is equal to -1, we can substitute -1 for i^2:
(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))
Combining like terms:
(15 - 10i) / (3 + 4i)
Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).
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what is the simplified from of pi √3-8 pi√3
Answer:
-7pi √3
Step-by-step explanation:
Treating pi as a variable, the simplified value can be written as;
-7pi √3
This can be obtained from using the following simple methodology;
pi(√3 -8 √3)
= pi (-7 √3)
Suppose you have the right to get dividend per year for the next 10 years. The current dividend is Birr 500, but it is expected to increase at a rate of 8% per year. The discount rate is 15% per year. Then, how much is the present value of the dividend that you can get?
Let there be two goods, L=2. Consider a finite number of Leontief consumers i with utility function u i
(x i
1
,x i
2
)=min{x i
1
,x i
2
} and initial endowments ω i
≫ 0 . Recall that for any price system p=(p 1
,p 2
)≫0, the demand of such a consumer satisfies x i
1
(p)=x i
2
(p)= p 1
+p 2
m i
= p 1
+p 2
pω i
. Use this information to show the following: Suppose the aggregate endowment ω=(ω 1
,ω 2
) of this economy satisfies ω 1
>ω 2
and that p=(p 1
,p 2
) is an equilibrium (market clearing) price system. Then p 1
=0 and p 2
>0.
We are given an economy with two goods and Leontief consumers who have utility functions that depend on the minimum of the two goods. The initial endowments of the consumers are positive, and we are assuming that the aggregate endowment of the economy has more of the first good than the second. If a price system p=(p1,p2) is an equilibrium with market clearing, we need to show that p1=0 and p2>0.
We start by considering the demand function for a Leontief consumer, which is given by xi1(p) = xi2(p) = (p1 + p2)mi/pi, where mi represents the initial endowment of consumer i and pi represents the price of good i.
Since the aggregate endowment ω=(ω1,ω2) of the economy satisfies ω1 > ω2, we know that the total supply of the first good is greater than the total supply of the second good.
Now, if p1 > 0, then for any positive value of p2, the demand for the second good xi2(p) will be positive for all consumers. This implies that the total demand for the second good will be greater than the total supply, leading to a market imbalance.
To achieve market clearing, where total demand equals total supply, we must have p1 = 0. This is because if p1 = 0, the demand for the first good xi1(p) will be zero for all consumers, and the total supply of the first good will match the total supply. Additionally, p2 must be positive to ensure positive demand for the second good.
Therefore, we have shown that in an equilibrium price system with market clearing, p1 = 0 and p2 > 0, given the initial endowment condition ω1 > ω2.
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Find the measure of
Answer:
74 degrees
.................
Answer:
74
Step-by-step explanation:
BEC and CED form a straight line so they add to 180
BEC+CED = 180
106+ CED = 180
CED = 180-106
CED = 74
Point A and point B are places on a number line. Point A is located at -20 and point B is 5 less than point A.
Which statement about point B is true?
Answer:
B = -25
Step-by-step explanation:
Note :-
Firstly there's no options mentioned in the question . So I would be providing you with the location of point B !
Given :-
A abd B are on no . line .A is located at -20 B is a point 5 less than point A.By question , the Point A is at -20. And B is 5 less than A. So the location of point B on the number line is ,
→ B = -20 - 5
→ B = -25
Hence the location of point B on the number line is -25.in an experiment a group of participants who are not exp[osed to the independent variables are known as
The group of participants who are not exposed to the independent variables are the known as the control group.
Good luck! :)
In a second grade class containing 12 girls and 9 boys, 2 students are selected at random to give out the math papers. What is the probability that both are girls?.
Use coordinates to solve this.
Answer: i think B
Step-by-step explanation:
15 Write an expression for the
gradient of the line
perpendicular to the line
segmentjoining
(3p, 6) to (-2p, 10).
5p/6 an expression for the gradient of the line perpendicular to the line segment joining (3p, 6) to (-2p, 10).
Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values. The coordinates of the first point represent x1 and y1
gradient of the line segment joining (3p, 6) to (-2p, 10)
m=(y2-y1)/(x2-x1)
m =( 10 -4)/ ( -2p - 3p)
m= 6/ (-5p)
m= -6/5p
we know that
Gradient of a line perpendicular to a line with a gradient of m = -1/m
Gradient of a line perpendicular to a line with a gradient of -6/5p = 5p/6
Hence 5p/6 an expression for the gradient of the line perpendicular to the line segment joining (3p, 6) to (-2p, 10).
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Z^3
Z^3
Slove this expression plz help me
Answer:
z^6
Step-by-step explanation:
I'm assuming you're meant to multiply here.
z^3(z^3) = z^6
Add exponents when multiplying.
For each of the following, carry out the mathematical operation and report answers in scientific notation. (a) (3.1×10
5
)×(2.0×10
−2
) (b) (7.0×10
9
)÷(2.0×10
2
) (c) (2.8×10
−4
)÷(9.6×10
−2
) (d) (5.0×10
−4
)
2
(e) (8.50×10
5
)−(3.0×10
4
) (f) (6.4×10
−3
)÷
(3.1×10^5) × (2.0×10^-2) = 6.2×10^3
When multiplying numbers in scientific notation, you multiply the coefficients and add the exponents.
In this case, (3.1×10^5) × (2.0×10^-2) equals 6.2×10^3. The coefficient 3.1 multiplied by 2.0 gives 6.2, and the exponents 5 and -2 are added to give 3.
When dividing numbers in scientific notation, you divide the coefficients and subtract the exponents. So, (7.0×10^9) ÷ (2.0×10^2) equals 3.5×10^7. The coefficient 7.0 divided by 2.0 gives 3.5, and the exponents 9 and 2 are subtracted to give 7.
To divide two numbers in scientific notation, divide the coefficients and subtract the exponent of the divisor from the exponent of the dividend. Hence, (2.8×10^-4) ÷ (9.6×10^-2) is equal to 2.9×10^-3. Dividing 2.8 by 9.6 gives 0.29, and subtracting the exponent -2 from -4 gives -3.
When squaring a number in scientific notation, square the coefficient and double the exponent. Therefore, (5.0×10^-4)^2 equals 2.5×10^-7. Squaring 5.0 gives 25.0, and doubling the exponent -4 gives -8.
Subtracting two numbers in scientific notation requires aligning the exponents and then subtracting the coefficients. (8.50×10^5) − (3.0×10^4) equals 8.20×10^5. The coefficient 8.50 minus 3.0 gives 5.50, and the exponent 5 remains the same.
Dividing a number in scientific notation by a regular number involves dividing the coefficient and keeping the exponent the same. Thus, (6.4×10^-3) ÷ 2 is equal to 3.2×10^-5. Dividing 6.4 by 2 gives 3.2, and the exponent -3 remains unchanged.
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Lionel, Jill and Grace are all reading the same book. Lionel has read 31.5% of the book. Jill has read \binom{1}{3}( 3 1 ) of the book. Grace has read \binom{3}{8}( 8 3 ) of the book. Which list shows the numbers in order from greatest to least?
Answer:
Grace, Jill, Lionel
Step-by-step explanation:
Lionel, Jill and Grace are all reading the same book. Which list shows the numbers in order from greatest to least?
The first step is to convert to decimal numbers
For Lionel
Lionel has read 31.5% of the book.
= 31.5% = 31.5/100 = 0.315
For Jill
Jill has read 1/3 of the book.
= 1/3 = 0.33333333333
= 0.333
For Grace
Grace has read 3/8 of the book.
= 3/8 = 0.375
The, list shows the numbers in order from greatest to least
= Grace, Jill, Lionel
Where Grace is the greatest and Lionel is the least.
7 (4x -2) is my question im confused on
Answer:
28x-14
Step-by-step explanation:
7(4x-2)
to solve this you have to expand the brackets
7×4x=28x
7×-2=-14
then we put these together to get the expanded expression
28x-14
Answer:
28x -14
Explanation:
7 (4x-2)
First, you need to apply the distributive property to the function which is multiplying the 7 by 4x and -2.
(7 * 4x) + (7 * -2)
Next, you do the multiplication of the 2 numbers.
(7 * 4x) = 28x
(7 * -2) = -14
Lastly, you add them together.
28x + (-14) = 28x -14
michael is 3 33 times as old as brandon. 18 1818 years ago, michael was 9 99 times as old as brandon. how old is brandon now?
Brandon is currently 6 81 years old.
Let M be Michael's age and B be Brandon's age.
We are given that Michael is 3 33 times as old as Brandon. This means that M = 3 33 × B
We are also given that 18 1818 years ago, Michael was 9 99 times as old as Brandon. This means that M - 18 1818 = 9 99 × (B - 18 1818).
We can combine these two equations to solve for Brandon's current age:
3 33 × B = (9 99 × B) + 18 1818
2 66 × B = 18 1818
B = 18 1818 / 2 66 = 6 81.
Therefore, Brandon is currently 6 81 years old.
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Please help me please
Yesterday, two friends went into a bank to open savings accounts. Ted started by putting $300 in his account, and he will deposit an additional $4 each week. Carly made no initial deposit, but she will add $16 more each week. In a few weeks, the friends will have the same account balance. How many weeks will that take?
To solve this problem, we can use algebraic equations. Let's say that the number of weeks it takes for Ted and Carly to have the same account balance is "w".
Ted's account balance after "w" weeks can be represented by:
300 + 4w
Carly's account balance after "w" weeks can be represented by:
16w
We want to find out when their account balances will be equal, so we can set these two equations equal to each other:
300 + 4w = 16w
Simplifying this equation, we get:
300 = 12w
Dividing both sides by 12, we get:
25 = w
Therefore, it will take 25 weeks for Ted and Carly to have the same account balance.
The graph of the function f(x) = tan x is given above for the interval x in[0,2 pi] NL Determine the one-sided limit. Then indicate the equation of the vertical asymptote.
Okay, here we have this:
Considering the provided function, we are going to calculate the requested one-side limits, so we obtain the following:
 WHO KNOWS FUNCTIONS AND ALL THAT PLZZZ HELP ME ASAP I REALLY NEED IT PLZZ
Answer: D
Step-by-step explanation:
The equation is curvy so its a quadratic
Quadratics are to the second power so the answer is d
How much does 1 can of soda cost if you get a
12 pack of sodas for $4
help please !!!
Answer:
Each can of soda costs about 33 cents.
Step-by-step explanation:
This is just a simple division problem, and you can find the answer by dividing the cost of the sodas by the total number of sodas, so 4/12. If you complete that problem, the answer is 0.33 repeating, and since it asks you to round to the nearest hundredth, the answer is just 0.33. It is in dollar amounts, so the answer is 33 cents.
2-3x=-x-8
^'fusgwowjisbsjwbw
b
Answer:
2-3x=-x-8
+3x+8 both sides
2+8=3x-x
10=2x
/5 both sides
x=5
Humberto evaluates the expression 4t 2 for t = 3. He correctly substitutes 3 for t in the expression, but then says that the value is 144. Fill in the blanks to explain Humberto’s error
The correct value of the expression is 36.
What is Expression?An expression is combination of variables, numbers and operators.
Given that Humberto evaluates the expression 4t² for t = 3.
He correctly substitutes 3 for t in the expression, but then says that the value is 144.
Humberto solution has an error the correct answer should be 36.
Humberto first multiplied 4 by 3 to get 12, then he multiplied 12 by itself to get 144.He should have first multiplied 12 by itself then he should multiplied the result 9 by 4.
The correct value of the expression is 36.
Hence, the correct value of the expression is 36.
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can you help me please
Answer:
x = 7
Step-by-step explanation:
The parameters of the triangle having bisected angle are;
The length of the opposite and adjacent side of one of the halves of the bisected angle = 6 and 14 respectively
The length of the opposite and adjacent side of the other half of the bisected angle = (3·x - 12) and 21 respectively
By the angle bisector theorem, we have;
\(\dfrac{14}{6} = \dfrac{21}{3\cdot x - 12}\)
Simplifying, we get;
\(\dfrac{14}{6} = \dfrac{2 \times 7}{2 \times 3} = \dfrac{7}{3}\)
\(\dfrac{21}{3\cdot x - 12} = \dfrac{3 \times 7}{3 \times (x - 4)} = \dfrac{7}{x - 4}\)
\(\dfrac{7}{3} = \dfrac{7}{ x - 4}\)
7 × (x - 4) = 3 × 7
∴ x - 4 = 3
x = 3 + 4 = 7
x = 7.
What is the equation of the line that passes through the point (-5,7) and has a
slope of -2/5
Answer:
The equation of a line that passes through the point (-5,7) and has a slope of -2/5 would be y = -2/5x + 5
Step-by-step explanation:
In the math term y = mx + b, "m" represents slope. So you can just substitute it for -2/5. "b" represents the y-intercept. 5 is the only number that works, so you just substitute "b" for 5.