Therefore , x +3 =y is the equation which is not the solution of point (3,-1)
What is equation ?Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. It is demonstrated that the expressions on the left and right are equivalent to one another. LHS = RHS (left hand side = right hand side) appears in all mathematical equations.
Here,
The given equations are ( a) x-4= y (b) 2x -7 =y (c ) x +3 =y ( d) x/3 = -y
Thus from the given equation
We put, values in each of equation to find that values satisfy the equation or not
Thus, we found x +3 =y does not satisfy the point (3,-1)
Therefore , x +3 =y is the equation which is not the solution of point (3,-1)
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The correct question is -
For which of the following equations is (3, - 1) not a solution?
Group of answer choices - y=x-1, -3x=4y-6, 2y-3x=0, 5x+2y=-16
TRUE/FALSE. if the matrix of coefficients of a homogeneous system of n linear equations in n unknowns has an inverse, then the system does not have infinitely many solutions.
The given statement is true.
How it is true ?
Because if the matrix of coefficients of a homogenous system of n linear equations is non-singular then there will be the inverse for that matrix.
We know ,
If matrix is non-singular then it has unique solution
and if it singular then it has either no-solution or infinite solution.
So, the above statement is always true.
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4
A line segment contained endpoints (-4, -3) and (1, -3). Which of the following is the reflection of the
line segment over the y-axis?
The plot below shows the mass of each of 999 puppies in a litter.
A line plot labeled mass of puppies in pounds
shows, moving left to right, labeled tick marks at zero, one-fourth, one-half, three-fourths, and one.There is an unlabeled tick mark between each labeled tick mark. Dots are plotted as follows: 1 dot above one-fourth; 1 dot above one-half; 4 dots above the tick after one-half, and 3 dots above three-fourths.
A line plot labeled mass of puppies in pounds shows, moving left to right, labeled tick marks at zero, one-fourth, one-half, three-fourths, and one.There is an unlabeled tick mark between each labeled tick mark. Dots are plotted as follows: 1 dot above one-fourth; 1 dot above one-half; 4 dots above the tick after one-half, and 3 dots above three-fourths.
How many times as great is the mass of the heaviest puppy than the mass of the lightest puppy?
All measurements are rounded to the nearest \dfrac18
8
1
start fraction, 1, divided by, 8, end fraction pound.
The mass of the heaviest puppy is three times greater than the mass of the lightest puppy.
What is shown by the dot plot?The number of dots for each input of the dot plot shows the number of times that each measure appears in the data-set.
For example, two dots means that the measure appears twice in the data-set.
From the description of the dot plot, the masses are given as follows:
1/4, 1/2, 1/2, 1/2, 1/2, 3/4, 3/4, 3/4.
Then the masses of the lightest and of the heaviest puppy are given as follows:
Lightest: 1/4.Heaviest: 3/4.The ratio of these masses is given as follows:
3/4/(1/4) = 3/4 x 4 = 3.
(division of fractions, the numerator is multiplied by the inverse of the denominator).
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()
Complete the table using the given rules. Then, compare pattern A to pattern B.
() Pattern A
◄) subtract 20
Pattern B
() subtract 4
100
20
Which statement is true?
Each term in pattern B is 80 less than the corresponding term in pattern A.
Each term in pattern B can be found by dividing the corresponding term in
pattern A by 5.
Answer:
100; 80, 60, 4020; 16, 12, 8dividing by 5Step-by-step explanation:
You want to fill a table using the given rules, then describe the relationship between the table values.
Pattern AStarting with 100, you want to subtract 20 to get next terms:
100
100 -20 = 80
80 -20 = 60
60 -20 = 40
The next terms are 80, 60, 40.
Pattern BStarting with 20, you want to subtract 4 to get next terms:
20
20 -4 = 16
16 -4 = 12
12 -4 = 8
The next terms are 16, 12, 8.
RelationshipLooking at second terms, we can determine which description is true:
80 -80 = 0 ≠ 16 . . . . . the description "subtract 80" fails
80/5 = 16 . . . . . . . . . . the description "divide by 5" works
Each term in pattern B can be found by dividing the corresponding term in pattern A by 5.
Which is the vertex angle of a triangle?
In an isosceles triangle, the angle opposite the base is referred to as the vertex angle.
A triangle refers to a two-dimensional shape which comprises of three sides and three angles. The isosceles triangle is a type of triangle in which two sides are congruent i.e., they are the same length. The third side of an isosceles triangle is of different length and is referred to as the base. The three angles of any triangle add up to a sum of 180°. In isosceles triangles, the two angles located along the base are referred to as the base angles which are always congruent, or equal. The angle opposite the base is referred to as the vertex angle and is different value from the two base angles. The value for the vertex angle can always be calculated by subtracting the base angles from 180° using the general formula: 180° - 2B = A, where B refers to the base angle and A is the vertex angle.
Note: The question is incomplete. The complete question probably is: Which is the vertex angle of an isosceles triangle.
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Please help 25 points, if you please show how you did it that would be very appreciated
The unknown angle measures are 51.5° and 51.5° respectively.
What is an isosceles triangle?
An isosceles triangle in geometry is a triangle with two equal-length sides.
Given, side DE = side EF
Then, ∠D = ∠F
So, the sum of all angles of the triangle = 180°
or, ∠D + ∠E + ∠F = 180°
or, ∠F + 77° + ∠F = 180°
or, 2∠F = 180° - 77°
or, ∠F = 103/2 = 51.5°
And, ∠D = 51.5°
Hence, the unknown angle measures are 51.5° and 51.5° respectively.
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suppose you roll a special 37-sided die. what is the probability that one of the following numbers is rolled? 35, 25, 33, 9, 19
The probability that one of the following numbers is rolled is 0.135.
We are provided a 37 sided dice. Hence, each of the number between 1 to 37 can be rolled. Now, to find the probability of rolling any of these five numbers, we will simply perform the multiplication.
The formula to be used for calculation of probability to roll any one number on the dice -
Probability = number of favourable outcomes ÷ total number of outcomes
Keep the values in formula
Probability = 1/37
Now, for the mentioned five numbers among which any can be rolled, the probability is -
Probability = 5 × (1/37)
Performing multiplication
Probability = 5/37
Performing division
Probability = 0.135
Hence, the probability is 0.135.
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g the complete bipartite graphs kn,n and kn,n 1 have the maximum possible number of edges among al
The complete type of bipartite graphs ,[tex]K_{n.n}[/tex] and [tex]K_{n.n+1}[/tex] will have the maximum possible of all number incliding edges among all the present triangle-free nodes i.e., graphs with all same number of vertices.
Approach: The wide variety of edges can be most whilst each vertex of a given set has an aspect to each different vertex of the opposite set i.e. edges = m * n in which m and n are the wide variety of edges in each the sets. that allows you to maximize the wide variety of edges, m need to be same to or as near n as possible.
The two main sets are X = {A, C}, Y = {B, D}.
The vertices for the given set X join, with the vertices Y and vice-versa.
Similar proposition will always holds for bipartite planar type of graphs: any n-vertex bipartite graph (n ≥ 3) includes at most 2n − four edges, moreover, each n-vertex bipartite planar graph may be prolonged to an n-vertex bipartite planar graph with 2n − four edges.
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Correct Question:
Among what g will have a complete bipartite graphs [tex]K_{n.n}[/tex] and [tex]K_{n.n+1}[/tex] have the maximum possible number of edges among it.
75 students are currently infected with a respiratory virus that is spreading through a population of college students. the number of infected students is modeled by f(t)
The number of infected students after 5 days = 694
The number of infected students with respiratory virus is modeled by an exponential function f(t) = 25000 /1+332e^(-0.45t) where time t, is measured in days.
We need to find the number of students infected with the virus after 5 days.
For t = 5,
f(5) = 25000 /1+332e^(-0.45 * 5)
f(5) = 25000 /(1+332*0.1054)
f(5) = 25000 /35.9928
f(5) = 694.58
f(5) ≈ 694
Therefore, the number of students infected with the virus after 5 days = 694
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The complete question is:
75 students are currently infected with respiratory virus- that is spreading through a population of college students_ The number of infected students is modeled by f(t) = 25000 /1+332e^(-0.45t) where time; t, is measured in days. How many students are predicted to be infected with the virus after 5 days? Round your answer to the nearest whole number.
Which is always true about a trapezoid?
Answer: They always have one pair of parallel lines.
Step-by-step explanation:
how ,any four digit positive integers have property that the product of their digits is 120?
The positive integers that meet the requirement that the product of their digits be 120 are: 1546, 1564, 1456, 1465, 1654, 1645, 6145, 6154, 6451, 6415, 6541, 6514, 4156, 4165, 4561, 4516, 4651, 4615, 5146, 5164, 5461, 5416, 5614, and 5641.
How to identify the integers that meet the requirement?To find the integer numbers that meet the aforementioned requirement that the product of its digits be 120, we must take a positive 4-digit integer number and multiply its digits until obtaining the result of 120.
In this case, the four digits would be 1456. So, we must find all the four-digit numbers that are made up of these numbers, the numbers are shown below:
1546, 1564, 1456, 1465, 1654, 1645, 6145, 6154, 6451, 6415, 6541, 6514, 4156, 4165, 4561, 4516, 4651, 4615, 5146, 5164, 5 4161, and 5 614, and 4
Finally, we can check it with any of the numbers and the result will be 120 because the order of the factors does not change the result.
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solve for x using the quadratic formula x2-12x+52=0
There are No Real Roots possible for the Quadratic Equation
What is Quadratic Equation?
Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. where x is an unknown variable and the numerical coefficients a, b, and c.
Solution:
x² - 12x + 52 = 0
Formula to Solve the equation is -b +- (D) / 2a
D is the discriminant
D = √b² - 4ac
D = √12*12 - 4*52
D = √144 - 208
D = √-64
Since the value of Discriminant is negative
Therefore there are no real roots possible for the equation
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explain why the solution of 5x minus 3 is greater than 14.5 or 2x plus 5 divided by 3 is less than 4 has a solution of all the real numbers, with one exception
From the compound inequality explained below in concept, it has been proven that compound inequality has a solution of all real numbers except 3.5.
How to solve Inequality problems?
We are given the inequalities as;
5x – 3 > 14.5 or (2x + 5)/3 < 4
For the first inequality;
Add 3 to both sides to get;
5x > 17.5
Divide both sides by 5 to get;
x > 3.5
For the second inequality, we have;
(2x + 5)/3 < 4
Multiply both sides by 3 to get;
2x + 5 < 12
Subtract 5 from both sides to get;
2x < 7
Divide both sides by 2 to get;
x < 3.5
The first inequality gives the solution as x > 3.5.
The second inequality gives the solution as x < 3.5.
The solution of an “or” compound in equality is everything in both solution sets, so the solution set is all of the numbers less than 3.5 and greater than 3.5. Since neither of the inequalities includes 3.5, the compound inequality has a solution of all real numbers except 3.5.
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What is 35 percent of 80? = 28 - Percentage Calculator
The percentage of 35 percent of 80 is 28
Percentage:
In mathematics, a percentage (from Latin: per centum, "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number (pure number); it has no unit of measurement.
For example, 45% (read as "forty-five per cent") is equal to the fraction
45/100, the ratio 45:55 (or 45:100 when comparing to the total rather than the other portion), or 0.45. Percentages are often used to express a proportionate part of a total.
The percentage of 35 percent of 80 is
= [tex]\frac{35}{100}[/tex]× 80
=28
The percentage of 35 percent of 80 is 28
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Given the speeds of each runner below, determine who runs the fastest.
\text{Adam runs 13 feet per second.}
Adam runs 13 feet per second.
\text{Stephanie runs 199 feet in 17 seconds.}
Stephanie runs 199 feet in 17 seconds.
\text{Noah runs 1 mile in 592 seconds.}
Noah runs 1 mile in 592 seconds.
\text{Katie runs 878 feet in 1 minute.}
Katie runs 878 feet in 1 minute.
Katie runs fastest among all .
What is the units of conversion ?
Unit of Conversion is a multi-step process involving multiplication or division by a numerical factor.
Given:
Speed of Adam = 13 feet per second
Speed of Stephanie = 199 feet in 17 seconds
Speed of Noah = 1 mile in 592 seconds
Speed of Katie = 878 feet in 1 minute
Now on converting all the units to one single unit,we get
1 mile = 5280 feet
1 minute = 60 seconds
Speed of Adam = 13 feet per second
Speed of Stephanie = 199 feet in 17 seconds
= [tex]\frac{199}{17}[/tex] feet per second
= 11.705 feet per second
Speed of Noah = 1 mile in 592 seconds
= 5280 feet in 592 seconds
= [tex]\frac{5280}{592}[/tex] feet per second
= 8.919 feet per second
Speed of Katie = 878 feet in 1 minute
= 878 feet in 60 seconds
= [tex]\frac{878}{60}[/tex] feet per second
= 14.6333 feet per second
Hence ,Katie runs fastest among all sice its speed is the highest .
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Let alpha and beta be the roots of the quadratic equation x² - 4x - 6 = 0. Find 1/a² + 1/b²
Answer:
7/9
Step-by-step explanation:
Using vieta's formulas, we know that a + b = 4 and ab = -6.
1/a^2 + 1/b^2 can be written as (a^2 + b^2)/a^2b^2.
(a^2 + b^2)/a^2b^2 can be written as (a+b)^2 - 2ab/(a^2)(b^2)
{4^2 - 2(-6)}/(-6)^2 = 28/36 = 7/9
5. show that for motion in a straight line with constant acceleration a, initial velocity v0, and initial displacement s0, the displacement after time t is s
s = 1/2 at2 + vOt + sO
Since the initial displacement is made by s0 and body moves with initial velocity and acceleration after that, the final displacement after time t is
[tex]s= \frac {1}{2} at ^{2} + v_{0}t+s_{0}[/tex]
What is Displacement?The displacement is only the difference between the locations of the two marks and is unrelated to the route used to get there.
What is formula for acceleration and velocity?The formula is:
[tex]a= \frac {Velocity}{Time}[/tex] (Acceleration)
[tex]v= \frac {Displacement}{Time}[/tex](Velocity)
Initial Displacement = s0
Displacement from position s0 after time t = [tex]\frac {1}{2} at ^{2} + v_{0}t[/tex]
Total Final Displacement (s) = [tex]\frac {1}{2} at ^{2} + v_{0}t+s_{0}[/tex]
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Which of the following sets of ordered pairs represents a function? A. {(4, 1), (-11, -1), (8, 2), (-1 -2), (9, 4), (-2,-10)} B. {(-2, -1), (-2, 5), (7, 8), (-2, 5), (3,9), (-3, 1)} C. {(8, 2), (6,-2), (7,4), (-11,-4), (8,3), (-9, 5)} D.{(2, 4), (-1,-1), (7, 2), (-1, -2), (6, 3), (2, -9)}
The answer is A & C
To determine if a set of ordered pairs represents a function, you can check if each input (x value) is associated with only one output (y value).
In set A, input 4 is paired with output 1 and input 8 is paired with output 2. These two inputs are paired with only one output, so the set A can represent a function.
In set B, input -2 is paired with two different outputs.
-1 and 5. This means that -2 has multiple exits, so set B does not represent a function. In set C, input 7 is paired with output 4 and input 8 is paired with output 3. The set C can represent a function because these two inputs are paired with only one output.
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A set of n = 15 pairs of scores (X and Y values) produces a correlation of r = 0.20. If each of the X values is multiplied by 2 and the correlation is computed for the new scores, what value will be obtained for the new correlation?
The new value of correlation will be 0.20.
What is correlation?
The strength and direction of a relationship between two or more variables are described by the statistical measure of correlation, which is given as a number. However, a correlation between two variables does not necessarily imply that a change in one variable is the reason for a change in the values of the other.
Given that the size of the sample is n = 15.
The correlation is r = 0.20.
The degree of the association between two measurement variables is quantified and determined via correlation analysis. Regression aims to describe the relationship as an equation at the same time. For patients who visit an emergency room (ED), for instance, we could use correlation and regression.
The correlation coefficient is unaffected by the change of origin.
Thus r = 0.20.
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If other factors are held constant, which set of sample characteristics is most likely to lead a researcher to reject a null hypothesis stating that µ = 80? a. M = 85 and s2 = 9 b. M = 90 and s2 = 9 c. M = 85 and s2 = 18 d. M = 90 and s2 = 18
If other factors are held constant, which set of sample characteristics is most likely to lead a researcher to reject a null hypothesis stating that µ = 80 then s2 = 18 and C. M = 85
The standard deviation (s2) is a measure of the variability of the sample data, while the mean (M) is a measure of the central tendency. The higher the mean and the higher the standard deviation, the more likely it is that the null hypothesis will be rejected. Therefore, the set of sample characteristics that is most likely to lead to a rejection of the null hypothesis is M = 85 and s2 = 18.
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a) ( combining like terms)
Simplify (7a + 10b) − (4a − 6b).
b) Simplify the expression. ( combining like terms)
−5x + 8y + 2x − 3y
c) Solve and graph the inequality x - 4 ≤ -1 (the name of the game is ...)
a) Combining like terms (7a + 10b) − (4a − 6b) = 3a + 16b
b) The Simplify expression −5x + 8y + 2x − 3y the answer is -3x + 5y
c) The inequality x - 4 ≤ -1 Graph is given below.
What do you mean by algebraic expression?
When addition, subtraction, multiplication, division, and other mathematical operations are performed on variables and constants, the result is a mathematical statement known as an algebraic expression.
Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression).
An algebraic expression is composed of various parts.
a) Given expression:
(7a + 10b) - (4a - 6b)
= 7a + 10b - 4a + 6b
On combining like terms we get,
(7a - 4a) + (10b + 6b)
= 3a + 16b
Therefore, (7a + 10b) − (4a − 6b) = 3a + 16b
b) Given expression :
−5x + 8y + 2x − 3y
On combining like terms we get,
-5x + 2x + 8y - 3y
= (-5x + 2x) + (8y - 3y)
= -3x + 5y
therefore, −5x + 8y + 2x − 3y = -3x + 5y
c) Given expression:
x - 4 ≤ -1
⇒ x ≤ -1 + 4
⇒ x ≤ 3
Graph of the function is given below:
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certain kind of sheet metal has, on average, 4 defects per 13 square feet. Assuming a Poisson distribution, find the probability that a 14 square foot metal sheet has at least 5 defects.
Using Poisson distribution to calculate the probability distribution of the event, the probability is 0.2084
What is Probability DistributionProbability is the measure of how likely an event is to occur. It is expressed as a number between 0 and 1, where 0 indicates an impossibility and 1 indicates a certainty.
A probability distribution is a mathematical function that describes the likelihood of a random variable taking on a particular value or set of values. It is used to describe the behavior of random variables, either discrete (e.g. coin flips) or continuous (e.g. temperatures), and is often used in the field of statistics to predict the behavior of a system or process.
Using Poisson distribution;
P(X ≥ 5) = 1 - P(X ≤ 4)
P= 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4))
P= 1 - (e^(-4.615) + (4.615*e^(-4.615))/1! + (4.615^2*e^(-4.615))/2! + (4.615^3*e^(-4.615))/3! + (4.615^4*e^(-4.615))/4!)
P = 0.2084
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1.4 inches and the width is 4.1 inches. The company making the cell phone wants to make a new version whose length will be 1.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
The side lengths of the new phone are proportional to the old phone, then the width of the new phone is 5.125 inches.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given information in the question,
The dimensions of the older phones are,
Length, L(1) = 1.4 inches
Width, W(1) = 4.1 inches
The dimensions of the new phone are,
Length, L(2) = 1.75 inches
Width, W(2) = ?
Then the width of the new phone is,
1.4 × W(2) = 4.1 × 1.75
W(2) = (4.1 × 1.75)/1.4
W(2) = 5.125 inches.
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Part 1 of 2
Describe and correct the error a student
made finding the intercepts of the graph
of the line 4x-6y = 12.
1.4(0)-6y = 12
2. 6y=12, so y = 2; the y-intercept is 2.
3.4x-6(0) = 12
4.4x = 12, so x = 3; the x-intercept is 3.
X
UA. In solving for the x-intercept, the student's calculation of x is incorrect. The error occurs in
(Type an integer or a decimal.)
OB In solving for the v-intercent the student substituted 0 for x The student should have suhe
Answer:
The error is when 6y = 12 it will be -6y = 12 and the intercept would be -2.
Step-by-step explanation:
. 2 + 2 = 5... No, amigo, estás . (wrong) 2. Ellos están porque el avión no sale hoy. (angry) 3. El gimnasio no está a la medianoche. (open) 4. Las turistas están en su habitación. Es un buen hotel. (comfortable) 5. 2 + 2 = 4… Sí, Carlitos está . (sure) 6. Nosotros estamos . ¡Vamos a jugar al fútbol! (bored) 7. La puerta está . (closed) 8. No me gusta comer en la cafetería porque las mesas están . (dirty) 9. La casa de mi abuela está . (clean) 10. Es el día del examen final. Pablo y Rosa están . (nervous)
Answer:
Step-by-step explanation:
2 and 2 equal 5
What is the area of this triangle in cm?
50 mm
9 cm
First convert 50 mm into cm : 5
base :9
height :5
formula of traingle= ½*(b*h)
.'. ½* (9*5)
½*45
.'. area : 22.5 cm²
What is the estimated product of 8.78 and 12.356 as a whole number
Answer: 108
Step-by-step explanation:
8.78x12.356=108.48568 so the estimate would be 108
a. kira
b. lyric
c. they traveled at the same speed
Answer:
they ran the same speed as each other c
Twice my hat size is 3 times my shoe size. If my hat size is 18 more than my shoe size, then the sum of my hat size and shoe size together is:
A) 36 B) 54 C) 90 D) 108
What is the least 3-digit odd sum of two prime numbers
A) 101 B) 103 C) 105 D) 107
What is the greatest possible product of the ones digits of 4 numbers
A) 9 B) 105 C) 945 D) 6561
Please give a detailed and simple explanation please!
Answer:
Q1. The sum of your hat size and shoe size is 54.
Q2. The correct answer is 101.
Q3. The correct answer is 6561.
Step-by-step explanation:
Q1. Let's call the size of your hat H and the size of your shoe S. You can set up the following equation based on the given information:
H = 2S
H = S + 18
Substituting the first equation into the second equation, we get:
2S = S + 18
S = 18
Then, substituting this value back into the first equation, we get:
H = 2S
H = 2 * 18
H = 36
The sum of your hat size and shoe size is S + H = 18 + 36 = 54.
Q2. The least 3-digit odd sum of two prime numbers is 101, which can be achieved by adding the two prime numbers 2 and 99. Both 2 and 99 are prime numbers, and their sum is 101, which is a 3-digit odd number.
Q3. The greatest possible product of the ones digits of 4 numbers is 6561, which can be achieved by choosing the numbers 9901, 9911, 9921, and 9931. The ones digits of these numbers are 1, 1, 1, and 1, respectively, and their product is 6561.
If matrix M is of dimension 5 x 3, and matrix N is of dimension 5 x 5 then the dimension of NM is
A₂ₓ₃ matrix and B₃ₓ₄ matrix, The dimension of the matrix AB obtained by multiplying A and B will be AB₂ₓ₄.
What are matrices?Matrices represent data in the form of rows and columns in an array form.
Suppose we have two matrices and their multiplication is possible only when the no. of columns in the first matrix is equal to the no. of rows in the second matrix.
Let A₂ₓ₃ matrix and B₃ₓ₄ matrix, Then the dimension of the matrix AB obtained by multiplying A and B will be AB₂ₓ₄.
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.