Answers
Answer:
A rectangular array of numbers arranged in horizontal and vertical lines enclosed between round or square brackets is called a matrix.
Types of Matrix
According to order of matrix or value of elements,we can classify the matrices. some of the types of matrices are as follows:
Column MatrixA matrix having only one column is called a column Matrix.
Row matrixA matrix having only one row is called row matrix.
Square matrixA matrix having the numbers of rows equal to the numbers of column is called the square matrix.
Rectangular matrixA matrix having the number of rows not equal to the number of column of a matrix is called the rectangular matrix.
Null matrix( zero matrix)A matrix of any order in which each element is zero is called the null matrix( zero matrix).
Diagonal matrixA square matrix in which all the elements of leading diagonal are non-zero and the rest of the elements are zero is called a diagonal matrix.
Unit matrix( Identity matrix)A diagonal matrix in which all the elements of leading diagonal are 1(unit) is called unit matrix.
Scalar matrixA diagonal matrix in which all the element of leading diagonal are equal is called scalar matrix.
Triangular matrixA square matrix having all the elements below the diagonal and above the diagonal zero is called triangular matrix.
Symmetric matrixA square matrix is called a symmetric matrix, if it's
(i,j) th element is equal to its (j,i) th elemnent.
Skew-symmetric matrixA square matrix B=b ij is called a skew- symmetric matrix if it's (i,j) th element is negative of its ( j, i) th element.
Equal matrixTwo matrices are said to be equal if they have same order and corresponding elemnents of both matrices are equal.
Hope this helps..
Good luck on your assignment...
Related Questions
20. There were sold 200 books and magazines. Ono book costs $15 and oach magazino costs
$5: they spent $1500 in total. How many books and how many magazines wero sold?
Answers
how do i know?
1500 divided by 20
Answer:
Books = 50
Magazines = 150
Step-by-step explanation:
b + m = 200
b = 200 - m..................(1)
15b + 5m = 1500
Substituting,
15(200-m) + 5m = 1500
3000 - 15m + 5m = 1500
-10m = 1500 - 3000
m = 1500 / 10 = 150
b = 200 - 150 = 50
−3x−6+(−1) plz Answer
Answers
Answer:
The answer to this problem is -3x - 7
Step-by-step explanation:
-3x - 6 + (-1)
Add -6 to -1.
-3x - 7
So, the final answer to this problem is -3x - 7.
An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an=-6+(n-2)8 B. an=8+(n-6)(-1) C. an=8+(n-1)(-6) D. an=8+(n-1)6
Answers
Answer:
an = 8 + (n-1) *(-6)
Step-by-step explanation:
The explicit formula is
an = a1+ d (n-1) where a1 is the initial value and d is the common difference
The initial value is 8 so a1 = 8
The common difference is what we are adding or subtracting each time
We are subtracting 6 each time as we see from the recursive forumla
so d = -6
an = 8 -6(n-1)
or
an = 8 + (n-1) *(-6)
Answer:
C
Step-by-step explanation:
[tex]a_{n}-a_{n-1}=-6\\d=-6\\a_{n}=a_{1}+(n-1)d\\a_{n}=8+(n-1)(-6)[/tex]
What is the probability that two randomly chosen players completed the walk in 2.9 hours or more? Show your work.
Answers
Answer:
8.08%
Step-by-step explanation:
Suppose several high schools in a city are sponsoring a walk-athon to raise money for a local charity. A certain route is mapped out through the city and each participant finds sponsors to donate money for the walk. If a participant completes the walk under a certain time, extra money will be donated. You are responsible for recording the finishing times for each of the participants. After collecting all of the data, you determine that the finishing times are normally distributed with a mean of 2.6 hours and a standard deviation of 0.3 hour.
Answer:
Given that:
Mean (μ) = 2.6 hours and standard deviation (σ) = 0.3 hour, n = 2
The z score is used in statistics to determine the amount of standard deviation by which the raw score is above or below the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex], where x is the raw score.
If the sample size (n) is taken then the z score is given by:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
Therefore for this problem the z score is:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }=\frac{2.9-2.6}{\frac{0.3}{\sqrt{2} } }=1.41[/tex]
From the normal distribution table, probability that two randomly chosen players completed the walk in 2.9 hours or more = P(x > 2.9) = P(z > 1.41) = 1 - P(z < 1.41) = 1 - 0.9192 = 0.0808 = 8.08%
A district manager has 8 different stores. He wants to reward some of his
employees by giving them a position as a manager in one of these stores. If he
has 5 qualified employees, how many ways can this be done?
Answers
Answer:
Please explain the question more.... but he can have 5 managers at 5 stores while he looks for other qualified individuals or manages the others himself.
Step-by-step explanation:
You are selling decorative eggs for your club.
Medium Eggs sold for $3 each. Large Eggs sold for
$6 each. A total of 190 Eggs were sold, and sales
totaled $870. How many Large Eggs did you sell?
Answers
Sarah dreams of going to medical school and giving quality medical care to people who live in countries in crisis. Which of the following is an organization she might want to work for? Peace Corps. World Health Organization. United Nations. Alliance for small island states
Answers
I would say World Health Organization because that is for the world and Sally dreams of going to medical school and giving quality medical care to people who live in countries in crisis.
Answer:
B
Step-by-step explanation:
I took the test ;P
Can someone please help me graph these 4?
Answers
Answer:
These are ordered 1, 2, 3, 4
Which matrix represents the system of equations shown below 2x=13 and 3x-2y=11
Answers
Answer:
A. Matrix A
Step-by-step explanation:
When you put a systems of linear equations in matrix form, you take only the coefficients of the xy terms and sort them. x goes first, y comes after, and the numbers after the bars are the constants.
Answer:
matrix a
Step-by-step explanation:
a-p-e-x
(-2a-4b-6c) - (-a - 2b +3c)
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
-a - 2b - 9c
▹ Step-by-Step Explanation
(-2a - 4b - 6c) - (-a - 2b + 3c)
Remove parentheses
-2a - 4b - 6c - (-a - 2b + 3c)
Collect like terms
-a - 4b - 6c + 2b - 3c
Final Answer
-a - 2b - 9c
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: -a - 2b -9c
Step-by-step explanation:
-2a - (-a) = -a
-4b - (-2b) = -2b
-6c - (3c) = -9c
-a - 2b - 9c
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? −3x2 − 5x + 9 = 0 a = 5, b = 9, c = 0 a = 3, b = 5, c = 9 a = −3, b = −5, c = 9 a = −5, b = 9, c = 0
Answers
Answer:
a = -3 b = -5 and c = 9
Step-by-step explanation:
−3x^2 − 5x + 9 = 0
The quadratic function is written as
ax^2 + bx+c =0
So a = -3 b = -5 and c = 9
Answer:
a = -3, b = -5 and c = 9
Step-by-step explanation:
Given Quadratic Equation is:
=> [tex]-3x^2-5x+9[/tex]
Comparing it with standard form of quadratic equation [tex]ax^2+bx+c[/tex], we get
=> a = -3, b = -5 and c = 9
what is 2 Square of 100? what is 3 Square of 250
Answers
Answer:
10,000
15,625,000
Step-by-step explanation:
Squaring a number means multiplying a number by itself.
100^2=100*100=10,000
Cubing a number means multiplying a number by itself 3 times.
250^3=250*250*250=15,625,000
Hope this helps ;) ❤❤❤
Answer:
10000
15,625,000
Step-by-step explanation:
100 x 100 = 10000
250 x 250 x 250 = 15,625,000
The average body temperature of a lemming is 98.6 degrees Fahrenheit. The
temperature is considered abnormal if it is more than 1.5 degrees above or below that.
Write the absolute value inequality that represents this.
Answers
Answer:
[tex]|x - 98.6| > 1.5[/tex]
Step-by-step explanation:
Given
Temperature = 98.6F
Range = 1.5F
Required
Write the absolute value inequality
Let the temperature be represented by x
We start by writing an expression for the difference between x and 98.6.
This can be written as x - 98.6
From the question, we understand that this difference is more than 1.5F
Representing this using absolute value inequality; we have
[tex]|x - 98.6| > 1.5[/tex]
Solving further; this gives
[tex]x - 98.6 > 1.5[/tex] or [tex]x - 98.6 < -1.5[/tex]
Make x the subject of formula in both cases
[tex]x >98.6 +1.5[/tex] or [tex]x < 98.6-1.5[/tex]
[tex]x >100.1[/tex] or [tex]x < 97.1[/tex]
This can be rewritten as
[tex]x >100.1[/tex] or [tex]97.1>x[/tex]
Combining these two inequalities;
[tex]97.1 > x > 100.1[/tex]
Hence;
The absolute inequality is [tex]|x - 98.6| > 1.5[/tex]
And the range of value is [tex]97.1 > x > 100.1[/tex]
please help Select the correct answer. Find the inverse of function f. F(x) = 9x-7
Answers
Answer:
f-1(x)=(x+7)/9
Step-by-step explanation:
Try going at the problem backwards. The function first multiplies x by 9 then subtracts 7, so the opposite route for the inverse. Add 7 to x and then divide everything by 9
Question:
Find the inverse of function f. F(x) = 9x-7
Answer:
D. F-1(x)= 1/9x-7/9
How many six digit numbers can be created using 8, 0, 1, 3, 7, and 5 if each number is used only once?
Answers
Answer:
720
Step-by-step explanation:
It;s 6!
= 720.
There are 720 six digits number can be made.
What is factorial?The factorial of a whole number is the function that multiplies the number by every natural number below it. Symbolically, a factorial can be represented by using the symbol "!". So, "n factorial" is the product of the first n natural numbers and is represented as n!.
So n! or "n factorial" means:
n! = 1 · 2 · 3 · ... · n = Product of the first n positive integers = n(n-1)(n-2)…………………….(3)(2)(1)
The formula for n factorial is: n! = n × (n - 1)!
n! = n × (n - 1)!
This means that the factorial of any number is, the given number, multiplied by the factorial of the previous number. So, 8! = 8 × 7!...... And 9! = 9 × 8!...... The factorial of 10 will be 10! = 10 × 9!...... Like this if we have (n+1) factorial then it can be written as, (n+1)! = (n+1) × n!. Let us see some examples.
Given:
Digits are: 8, 0, 1, 3, 7, and 5
There total 6 digits.
So, number of 6 digits can be made is = 6!
= 6*5*4*3*2*1
= 720
Learn more about factorial here:
https://brainly.com/question/16003649
#SPJ5
Susan saw birds and mice eating seeds on the ground. She counted 14 heads and 40 legs in total. How many birds and mice are on the ground?
Answers
Answer:
Number of mice = 6
Number of birds = 8
Step-by-step explanation:
Given:
Total number of heads = 14
Total number of legs = 40
Find:
Number of birds
Number of mice
Computation:
Assume,
Number of birds = x
Number of mice = y
So,
x + y = 14
x = 14 - y.............Eq1
We know that mice have 4 legs and birds have 2
So,
2x + 4y = 40
x + 2y = 20............Eq2
From Eq1 and Eq2
14 - y + 2y = 20
y = 6
Number of mice = 6
x = 14 - y
x = 8
Number of birds = 8
i need number 7 pls help :))
Answers
Answer:
3 pizza
Step-by-step explanation:
four people eat 3/4 of pizza
4*3/4=12/4=3 pizzas
21%
For all values of x
(2)
f(x) = (x + 2)2 and g(x) = 3(x - 1)
a) Find gf(x), giving your answer in the form a(x2 + bx + c)
where a, b and care integers.
(x² +
x +
b) Find g '(12)
(2)
Answers
Answer:
f(x) = (x + 2)2 = 2x + 4
g(x) = 3(x - 1) = 3x - 3
gf(x) = (2x + 4)(3x - 3)
= 6x² - 6x + 12x - 12
= 6x² + 6x - 12
To write the final answer in the form
a(x² + bx + c) we factorize the expression
Thus
6x² + 6x - 12
= 6( x² + x - 2)
where a = 6, b = 1 and c = - 2
b.) to find g '(12) we first find g ′
To find g′ equate g(x) to y
Thus
g(x) = y
y = 3x - 3
x = 3y - 3
3y = x + 3
Divide both sides by 3
We get
y = x+3/3
That's g′ = x + 3 / 3
g′(12) = 12 + 3 / 3
= 15/3
= 5
Hope this helps
Here is a list of ingredients to make biscuits.
200 g butter
180 g caster sugar
400 g plain flour
20g chocolate chips
Andrew only has 300 g of plain flour.
How much of the other ingredients should he use?
g butter
g caster sugar
Help due tomorrow and I'm a bit thick and tired
g chocolate chips
Answers
Answer:
[tex]\frac{200}{1} * \frac{3}{4} = 150g[/tex] < butter
[tex]\frac{180}{1}*\frac{3}{4} = 135g[/tex] < castor sugar
[tex]\frac{20}{1}*\frac{3}{4} = 15g[/tex] < chocolate chips
full working out :)
Which of the following represents fourth root of x cubed in exponential form? (6 points) x to the four thirds power 3x4 x to the three fourths power 4x3
Answers
Answer:
x 3/4
Step-by-step explanation:
A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to reach finally at position Z. The position Z is situated at the north of X and at a distance of 60 m from X. Find the distance between X and Y.
Answers
Answer:
The distance between X and Y is 68m
Step-by-step explanation:
Consider the diagram attached:
A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.
We have to find distance XY.
Let the distance XY be x
Total distance covered by the person = XY + YZ
We know that total distance covered is 100m, so
100m = x + YZ
YZ = (100 - x)m
See the diagram, XZY forms a right angled triangle such that:
Hypotenuse = XY = x
Base = XZ = 60m
Perpendicular = YZ = (100-x)m
Using Pythagoras theorem
Hypotenuse² = Base² + Perpendicular²
x² = (60)² + (100-x)²
Solve the equation for x, we get:
x = 68m
Write down the gradient and y-intercept of each line
y=4x - 1
y=
[tex] \frac{1}{3} x + 3[/tex]
help pls
Answers
Answer:
Equation of a line is y = mx + c
where m is the gradient
c is the y intercept
a.)y = 4x - 1
Comparing with y = mx + c
The gradient = 4
y intercept = - 1
b.)[tex]y = \frac{1}{3} x + 3[/tex]
Comparing with y = mx + c
The gradient is 1/3
The y intercept is 3
Hope this helps you
Answer:
4 and -1
1/3 and 3
Step-by-step explanation:
for y=4x-1
y intercepts where x=0 so f(0)=4*0-1=-1
y intecepts = - 1
the gradient is y2-y1/x2-x1 where y2=f(x2)=4x2-1 and y1=f(x1)=4x1-1
the gradient is 4x2-1-4x1+1/x2-x1=4 ( the coeficient of x)
for y=1/3x+3
the gradient is 1/3
y intercepts is f(0)=3
What is the value of x when the Richter
scale rating is 7.5? Round your answer
to the nearest hundredth.
Answers
Answer: explain it a bit more
Step-by-step explanation:
Jerry's motorcycle tank holds 6gallons of gas. There are 3 gallons of gas currently in the tank. How much more gasoline will
it take to fill the tank? (Simplify your answer and write it as a mixed numner
Answers
Answer:
It takes 3 more gallons to fill the tank.
Step-by-step explanation:
6-3=3
Find the value of the trigonometric ratio, cos L.
Answers
Answer:
b/h
Step-by-step explanation:
remember SOH CAH TOA. Sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent. So in this case use CAH for cos L. Adjacent to L is b, and the hypotenuse is h. Therefore the answer is b/h.
sin law or cos law?!!!!!!!!!!!!!
Answers
Answer:
Law of Sines
Step-by-step explanation:
Law of Sines: [tex]\frac{A}{sina} =\frac{B}{sinb} =\frac{C}{sinc}[/tex]
Step 1: Solve for m∠B
[tex]\frac{25}{sin36} =\frac{27}{sinx}[/tex]
25sinx = 27sin36°
sinx = 27sin36°/25
[tex]x = sin^{-1}(\frac{27sin36}{25} )[/tex]
m∠B ≈ 39.4°
Step 3: Find m∠C
180 - (36 + 39.4)
180 - 75.4
m∠C = 104.6°
The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as brainliest
Answers
Answer:
C. 40 cm
Step-by-step explanation:
length of side of square = s
perimeter = s + s + s + s = 4s
We use the formula P = 4s
P = 4 * 10 cm
P = 40 cm
Answer: The perimeter is 40 cm.
Notice that the perimeter is a sum of lengths, so its units are linear units such as cm, inches, feet, a unit of length.
An area has square units such as cm^2, in.^2, ft^2, etc.
Answer:
Hey !! Side of square = 10 cm. Therefore, Perimeter of square = 4 × ( Side ) = 4 × 10 = 40 cm
I holpe it helps pleas mark me
Step-by-step explanation:
Please help? It's worth 16 points!!!!
Answers
Answer:
I’m not too sure what your question is exactly but if your just trying to graph the two equations I can help u with that (:
Step-by-step explanation:
The first thing you should do is change the second equation to slope intercept form. It is much easier for most people. From there write out your table by choosing a number for x then plugging that number into the equation to find y. For the first equation (y=1/3x+2) it’s always easier to use multiple of three for the number of x. For example, if 3 was my number for x I would multiply 1/3 by 3=1 then simply add 2=3. So the coordinates for one point on that table would be 3,3. You continue to do that for each graph then plot your points. (In my graph, purple is the equation y+9=-9/3x-9 and black equals the equation y=1/3x+2
Answer:
(-6, 4)
Step-by-step explanation:
y= -1/3x+2
y+4= -4/3x ⇒ y= -4/3x-4
Comparing the 2 equations, we get:
-1/3x+2= -4/3x-44/3x - 1/3x= -4-2x= -6y= -1/3*(-6)+2=2+2=4So the solution is point (-6, 4)
(algebra 1) what is the name of the property of: a+(-a)=0
a. Identify property of multiplication
b. Inverse property of addition
c. Identify property of addition
d. Inverse property of Multiplication
Answers
Answer:
C. Inverse property of addition
Step-by-step explanation:
The inverse of a is (-a) and when you add a positive and negative number of the same amount the answer is zero because they cancel each other out.
there are 4 blue counters and 3 red counters in a bag. Suzy put some more red counters into the bag. The ratio between blue and red counters is now 2:5. How many red counters did suzy put into the bag
Answers
Answer:
i think suzy will put 15 red counters into the bag
Step-by-step explanation: