Answer:
\({ \boxed{rational \: numbers}} \\ \frac{7}{16} \\ \\ \sqrt{36} = \{6 \} \\ \\ \sqrt{81} = \{9 \}\)
\({ \boxed{irrational \: numbers}} \\ \sqrt{120} \\ \\ \sqrt{48} \\ \\ \pi\)
suppose that cd = -dc and find the flaw in this reasoning: taking determinants gives ici idi = -idi ici- therefore ici = 0 or idi = 0. one or both of the matrices must be singular. (that is not true.)
The given statement is False because It is incorrect to conclude that the matrices in question must be singular based solely on their determinants.
What is the flaw in assuming that equal determinants of two matrices imply singularity of the matrices?The flaw in the reasoning lies in assuming that if the determinant of a matrix is zero, then the matrix must be singular. This assumption is incorrect.
The determinant of a matrix measures various properties of the matrix, such as its invertibility and the scale factor it applies to vectors. However, the determinant alone does not provide enough information to determine whether a matrix is singular or nonsingular.
In this specific case, the reasoning starts with the equation cd = -dc, which is used to obtain the determinant of both sides: ici idi = -idi ici. However, it's important to note that taking determinants of both sides of an equation does not preserve the equality.
Even if we assume that ici and idi are matrices, the conclusion that ici = 0 or idi = 0 is not valid. It is possible for both matrices to be nonsingular despite having a determinant of zero. A matrix is singular only if its determinant is zero and its inverse does not exist, which cannot be determined solely from the given equation.
Therefore, the flaw in the reasoning lies in assuming that the determinant being zero implies that one or both of the matrices must be singular.
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Please help asap!!!!!!
What is the measure of x
Answer:
\(\boxed{\boxed{\tt x=74^{\circ}}}\)
Step-by-step explanation:
From the diagram given above, we see that ∠WXY and ∠YXZ are supplementary angles:
→ Supplementary angles are angles that add up to 180 degrees.
Therefore, \(\tt m\angle WXY+m\angle YXZ=180^{\circ}\)
\(\tt \angle WXY+\angle YXZ=180^{\circ}\)
\(\tt x+106=180\)
Subtract 106 from both sides:
\(\tt x+106-106=180-106\)
\(\tt x=74^{\circ}\)
__________________________________
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If triangle HBN ~ triangle LYR, find the value of x.
Answer:
x = 13
Step-by-step explanation:
BH / YL = HN / LR
28 / 21 = 3x-7 / x+11
cross-multiply:
4x + 44 = 9x - 21
-5x = -65
x = 13
Answer:13
Step-by-step explanation:
a hexadecimal number is a number written in the base 16 number system.
t
f
True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.
In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.
The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.
For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.
Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.
Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.
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NUMBER SENSE Events A and B are independent. Suppose P(B)=0.4 and P(A and B)=0.13 . Find P(A) .
Answer:
Step-by-step explanation:
Plz help this one is the last one of the day plz help
Students in 3 art classes cut 728 inches of ribbon into 8-inch long pieces. Two of the classes together cut 656 inches of ribbon. How many 8-inch long pieces of ribbon did the other class cut?
The number of 8-inch long pieces of ribbon that the other class cut is 9.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given that Students in 3 art classes cut 728 inches of ribbon into 8-inch long pieces. Therefore, the number of ribbon that 3 classes together cut is,
Number of ribbon cut by 3 classes together = 728 inches / 8 inches = 91
Further, it is given that two of the classes together cut 656 inches of ribbon. Therefore, the number of ribbon that 2 classes together cut is 656.
Number of ribbon cut by 2 classes together = 656 inches / 8 inches = 82
Now, the number of 8-inch long pieces of ribbon that the other class cut can be written as,
Number of pieces cut by other class
= Number of ribbon cut by 3 classes together - Number of ribbon cut by 2 classes
= 91 - 82
= 9
Hence, the number of 8-inch long pieces of ribbon that the other class cut is 9.
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Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?
O-2(x - 2)2 = -8(7 + y)
o y-2x2-x-6
O y=-2+28+4x
O y=2+28+4x
Adrian brought snacks for his team's practice. He bought a bag of apples for $1.68 and a 12-pack of juice bottles. The total cost before tax was $10.92. How much was each bottle of juice
Answer:
x = 77/100
Step-by-step explanation:
When you solve this equation: 1.68+ 12x = 10.92
The answer is x = 77/100
The cost of each bottle of juice will be $0.77.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Adrian brought snacks for his team's practice. He bought a bag of apples for $1.68 and a 12-pack of juice bottles. The total cost before tax was $10.92.
From the given data the expression will be formed as below:-
1.68+ 12x = 10.92
12x = 10.92 - 1.68
12x = 9.24
x =9.24 / 12
x = $0.77
Therefore, the cost of each bottle of juice will be $0.77.
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Solve this question
Answer:
X= -1
Step-by-step explanation:
2x+5=1(x+4)
2x+5=1x+4
2x-1x=-5+4
x=-1
HELP ASAP!!!!!!!!!!!!!!!
Answer:
-1 and 5
-2 and 6
-4 and 8
They all give the same total i.e. 4
(15 points!) What is the m
EG is parallel to FH and AD is the transversal.
We know that the interior angles on the same side of the transversal are supplementary.
Angle EBC and Angle FCB are interior angles on the same side of the transversal.
So, Angle EBC + Angle FCB = 180°
=> Angle EBC + 76° = 180°
=> Angle EBC = 180° - 76°
=> Angle EBC = 104°.
Answer — 104°
Amy is baking her famous pies to sell at the Town Fall Festival. She uses 32 ¼ cups of flour for every 1 ½ batches of pie that she makes. How many cups of flour would Amy use for 7 batches of pie?
Answer:
150-1/2 (150.5) cups of flour
Step-by-step explanation:
We know there is a ratio of 32.25 / 1.5 (32-1/4 cups of flour for every 1 1/2 batches of pie that she makes). X is the unknown (as we are trying to solve for flour) so we can set up the problem as such:
32.25 = x
1.5 7
Now we cross multiply to solve:
1.5(x) = 7(32.25)
1.5x = 225.75 -- Simplify then divide both sides by x (to isolate the variable)
x = 150.5
Answer: She uses 32 ¼ cups of flour for every 1 ½ batches of pie
Let’s make it into whole numbers to start…
She uses 64 ½ cups of flour for every 3 batches of pie
She uses 129 cups of flour for every 6 batches of pie
She uses 129/6 cups of flour for every 1 batch of pie
She uses 7 x 129/6 cups of flour for every 7 batches of pie
= 150 ½ cups of flour
how many cups of granulated sugar in a 5 pound bag
There are approximately 11.25 cups of granulated sugar in a 5 pound bag.
To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.
First, we multiply the number of pounds (5) by the conversion factor:
5 pounds * 2.25 cups/pound = 11.25 cups
Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.
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Determine which quadrants each coordinate point belong.
Point A (-5, 6)
Point B (0, -5)
Point C (10, -10)
Point D (0, 0)
Point E (2, 8)
Point F (-9, 2)
Point G (-5, 1)
Point H (12, 8)
Point I (7, -9)
Point J (-5, -3)
Answer:
See below.
Step-by-step explanation:
A. II
B. On the line.
C. III
D. Origin
E. I
F. II
G. II
H. I
I. IV
J. III
How many Terms are in the following expression: x−12÷(3∗2)
Answer:
4.
Step-by-step explanation:
Each term is separated by a symbol.
Terms can be: 4x, 0.5x, 3, 700, etc.
term 1: x
term 2: 12
term 3: 3
term 4: 2
Hope that helped <3
If a position vs time graph is shown to be quadratic [At^2+Bt+C=0], what do the three coefficients, A,B, and C represent? Select one: a. A-the initial velocity B - the acceleration C - the initial position b A-the acceleration B-1/2 of the initial velocity C - the final position c. A-1/2 of the acceleration B - the inital velocity C - the initial position d A- the inital position B - the final velocity C - the acceleration
If a position vs time graph is shown to be quadratic [At²+Bt+C=0] d. A - the initial position, B - the final velocity, C - the acceleration.
In a position vs. time graph represented by the equation At² + Bt + C = 0, the coefficients have the following interpretations:
A represents the coefficient of t² and corresponds to the initial position. It is the position of the object at t = 0.
B represents the coefficient of t and corresponds to the final velocity. It represents the rate of change of position with respect to time.
C represents the constant term and corresponds to the acceleration. It represents the rate of change of velocity with respect to time.
Therefore, the correct interpretation of the coefficients in a quadratic position vs. time graph is A - the initial position, B - the final velocity, C - the acceleration.
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in a poll, respondents were asked whether they were planning to vote in the local election. 315 respondents indicated that they were planning to vote and 217 said that they were not. what is the probability that the next respondent questioned will indicate that they are planning to vote?
The probability that the next respondent questioned would say they plan to vote is 0.59.
What is probability?
The ratio of the number of favorable outcomes to the total number of outcomes of an event is defined as probability.
We know that the probability of an occurrence =the number of favorable outcomes divided by the total number of events.
Given that, 315 respondents stated they planned to vote, while 217 said they did not.
Now, the probability of voting is:
P(voting)=315(315+217)
= 315/532
= 0.59
As a result, the likelihood that the next respondent questioned would say they plan to vote is 0.59.
The probability that the next respondent questioned would say they plan to vote is 0.59.
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-2x² + 3y² + 4x - 5y-11=O
x+3y-1=0
IT'S TIMED NEED HELP ASAP! Which property of similarity can be used to prove triangles LKJ and ZYX are similar? A) SAS B) AA C) SSS D) Not enough information given
Answer:
It was A
Step-by-step explanation:
I took the quiz
The property that is used to prove triangles LKJ and ZYX are similar is AAS. Hence, option B is correct.
What is a triangle?The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.
As per the given information in question,
There are two triangles given,
Δ JKL and Δ XYZ
As we can see,
∠ J = ∠ X
∠ K = ∠ Y and,
Side KL = YZ
So, by angle-angle side, the triangles are similar.
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Help pleaseeeee ???????
Answer: y+6x = -34
Step-by-step explanation:
y-2= -6(x+6) (Ax+By=C is the goal)
y-2= -6x-36 (-6) x & (-6) 6
y=-6x-34 (Add 2 to both sides)
y+6x = -34 [Add 6x to both sides]
Do the three directions (0 1), ( 01), (2 lie in one plane? If
yes what is the
plane?
No, the three directions (0 1), (0 1), and (2 0) do not lie in one plane.
To determine if the three directions lie in one plane, we can consider their coordinates and check if they satisfy the condition for coplanarity.
The three directions given are (0 1), (0 1), and (2 0). If these directions lie in one plane, they can be represented as scalar multiples of a single vector. However, it is evident that the first two directions are identical, which means they represent the same vector (0 1). On the other hand, the third direction (2 0) is different from the first two.
Since the third direction is not a scalar multiple of the vector (0 1), the three directions cannot lie in one plane. In a two-dimensional space, any two non-parallel vectors determine a unique plane, but adding a third non-collinear vector would make the system inconsistent.
Therefore, the given directions (0 1), (0 1), and (2 0) do not lie in one plane.
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a coin is placed next to the convex side of a thin spherical glass shell having a radius of curvature of 19.0 cm. reflection from the surface of the shell forms an image of the 1.5-cm-tall coin that is 6.50 cm behind the glass shell. part a where is the coin located? express your answer in centimeters. s
The location of the coin next to the convex side of a thin spherical glass shell is 3.68 cm.
According to the question,
Radius of curvature : 19 cm
Size of image formed : 1.5cm
Distance of coin from glass shell : 6.5cm
The position of the coin placed next to the convex side of a thin spherical glass shell is calculated as follows;
1/d = 1/f - 1/d'
where;
d' is the position of the coin's image
d position of the coin
f is focal length
Focal length = r/2 =19/ 2 = 9.5 cm
=> 1/d = 1/9.5 - (-1/6.5)
=> 1/d = 1/9.5 + 1/6.5
=> 1/d = 0.1052 + 0.1538
=> 1/d = 0.259
=>d = 1/0.259
d = 3.86 cm
Thus, the position of the coin placed next to the convex side of a thin spherical glass shell is 3.86 cm.
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Handy Dandy grocery is having a sale this week. If you buy a five pound bag of apples for the regular price $2.99. You can get another bag for $1.79.
Answer:
The answer is below
Step-by-step explanation:
A grocery store is having a sale this week. If you buy a 5-pound bag of apples for the regular price, you can get another bag for $1.79. If you buy a 5-pound bag of oranges at the regular price, you can get another bag for $2.49. Write an equation to find the discount for each situation.
Regular price for apples is $2.99
Regular price for oranges is $3.99
Solution:
The original price of the apples = $2.99 , price at a discount = $1.79
Discount for A= original price - price at a discount = $2.99 - $1.79
Discount for A= $1.20
x = ($1.79 / $2.99) * 100% = 59.9%
Discount in percentage = 100% - 59.9% = 40.1%
The original price of the orange = $3.99 , price at a discount = $2.49
Discount for R = original price - price at a discount = $3.99 - $2.49
Discount for R = $1.50
x = ($2.49 / $3.99) * 100% = 62.4%
Discount in percentage = 100% - 62.4% = 37.6%
niomie bakes 24 cookies in 10 minutes. at this rate how many cookies can she bake in 30 minutes
Answer:
She can bake 72 cookies in 30 minutes
Step-by-step explanation:
24 · 3 = 72
How do you find the value of X? Isosceles and Equilateral Traingle
Answer:
x=60°
Step-by-step explanation:
because it is equilateral triangle and equilateral triangle has 3 equal sides which is shown by using symbols and equilateral triangle also has 60° by every side so
The answer is
x=60°
You borrow $30,000 to buy a car. The loan is to be paid off in 10 equal quarterly payments at 6% interest annual interest rate. The first payment is due one quarter from today. What is the amount of each quarterly payment (rounded)? A. $1,777. B. $2,803. C. $3,253. D. None of the above.
The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).
To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.
Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.
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which expression is equivalent to
-4 (2m - 3 ) - (m+2)
-9m+10
9m+10
7m+10
-7m+10
Answer:
4 - 2m + 3
Step-by-step explanation:
when you distribute the negative sign you will get this
You and your friend are trying to meet up at the park. You are currently 256 m directly west from the centre of the park. Your friend is currently 388 m directly north from the centre of the park. What is the distance between you and your friend?
Answer:
The distance between the two is 465 meters
Step-by-step explanation:
We first need to set up a triangle that shows the relative position and distances of the two friends
Please check attachment for this
To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem
Mathematically;
Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
D^2 = 256^2 + 388^2
D^2 = 216,080
D = √216,080
D = 464.84 which is approximately 465 m
Two points in a rectangular coordinate system have the coordinates (4.9, 2.5) and (−2.9, 5.5), where the units are centimeters. Determine the distance between these points.
Check the number of significant figures. cm More Information.
The distance between the two given points is 8.357 cm (to three significant figures).
the two points in a rectangular coordinate system have the coordinates
`(4.9, 2.5)` and `(-2.9, 5.5)`
and we need to determine the distance between these points. Therefore, we need to use the distance formula.Distance formula:The distance between two points
`(x1, y1)` and `(x2, y2)` is given byd = √[(x₂ - x₁)² + (y₂ - y₁)²]
where d is the distance between the two points
.`(x1, y1)` = (4.9, 2.5)`(x2, y2)` = (-2.9, 5.5)
Substitute the above values in the distance formula to get
d = √[(-2.9 - 4.9)² + (5.5 - 2.5)²]d = √[(-7.8)² + (3)²]d = √[60.84 + 9]d = √69.84d = 8.357... cm (to three significant figures)
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