Answers
=======================================================
Explanation:
Check out the diagrams below. I posted two of them. Start with figure 1.
Notice how I've copied the first two columns and placed them on the right side of the matrix.
After that, I've highlighted the diagonals. The numbers in each diagonal grouping multiply together. I've used color coding to show this.
Once you find all those products, you add up the values. Figure 1 shows a result of 42. This isn't the final answer, but it helps us get there.
Figure 2 is a similar idea, but we're doing the off diagonals instead of the main diagonals. The result here is 15.
The last step is to subtract the results found in figures 1 and 2. We get 42-15 = 27 as the final answer.
You could use co-factor expansion as an alternative method. For me, I prefer this method of multiplying diagonals. Unfortunately the method only works for 3x3 matrices.
Related Questions
the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24inches, what is the signs area
Answers
Answer:
20 square inches
Step-by-step explanation:
Set width of sign to x.
Set length of sign to y.
5x=y
2(x+y)=24 inches
2(x+5x)=24 inches
12x=24 inches
width = 2 inches
length = 10 inches
Area = 20 square inches
PLEASE GIVE BRAINLIEST
The area of the rectangular sign will be 20 square inches
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24 inches.
The area of the rectangle will be calculated as follows:-
5x = y
2(x+y)=24 inches
2(x+5x)=24 inches
12x=24 inches
The area of the rectangle:-
width = 2 inches
length = 10 inches
Area = 20 square inches
Therefore, the area of the rectangular sign will be 20 square inches.
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write a possible equation for each graph. Help me please
Answers
Answer:
a. y = -x² + 2x - 8
b. y = [tex]\frac{1}{x-2}[/tex]
c. y = x³+ 3
Step-by-step explanation:
d Question 5 5. Given A is between Y and Z and YA = 14x, AZ = 10x and YZ = 12x + 48, find AZ
Answers
Answer:
Step-by-step explanation:
If A is in between Y and Z, then;
YA+AZ = YZ
Given.
YA = 14x,
AZ = 10x and
YZ = 12x + 48
Substitute into the formula
14x+10x = 12x+48
Find x;
24x = 12x+48
24x-12x = 48
12x = 48
x = 48/12
x = 4
Get AZ
AZ = 10x
AZ =10(4)
AZ = 40
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What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
1/4
Step-by-step explanation:
A football team lost 2 yards every 5 minutes. Write the integer that represents how many yards the team lost after 15 minutes
Answers
Answer:
6 yards
Step-by-step explanation:
hence, 2x3 = 6
Which of the following correctly identifies the set of outputs?
{(5, –2), (1, –1), (–2, 2), (2, 5)}
{(–2, 5), (–1, 1), (2, –2), (5, 2)}
{–2, –1, 2, 5}
{–2, 1, 2, 5}
Answers
y-values aka all the outputs
Find the area of a circle with a radius of 11 inches
Answers
Answer:
A ≈ 380.13in²
Or A= 379.94in²
Step-by-step explanation:
Formula for area:
A = π r²
A=π ·11² ≈ 380.13in²
If π is used as 3.14 then
A=3.14·11² = 379.94
At a toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60. Which option has the lesser price?
Answers
Answer:
The 8-pack is better value
Step-by-step explanation:
$7.50/6 = $1.25 per ball
$9.60/8 = $1.20 per ball
The 8-pack is a better value if the toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
At a toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.
For:
At a toy store, Colton can buy a package of 6 mini footballs for $7.50
Each ball price
$7.50/6 = $1.25 per ball
Each ball price
$9.60/8 = $1.20 per ball
The 8-pack is a better value
Thus, the 8-pack is a better value if the toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.
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The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Find the standard deviation of the random variable. Round to three decimal places. x 0 1 2 3 4 5 P(X= x) 11 7 3 1 1 1 48 24 16 6 12 24
Answers
Answer:
1.41
Step-by-step explanation:
Given the table :
X : _____0 ___ 1 ____ 2 ____ 3 ____ 4 ____5 P(X= x)_ 11/48_7/24_ 3/16____1/6___ 1/12 __1/24
The standard deviation = √var(x)
The Variance : Var(X) = (Σx²*p(x)) - μ²
μ = E(X) = Σ(X * p(x)) :
Σ(X * p(x)) = (0*(11/48))+(1*(7/24))+(2*(3/16))+(3*(1/6))+(4*(1/12))+(5*(1/24))
μ = 1.70833333
Var(X): [(0^2*(11/48))+(1^2*(7/24))+(2^2*(3/16))+(3^2*(1/6))+(4^2*(1/12))+(5^2*(1/24))] - 1.70833333^2
= 4.9166667 - 2.9184027663889
Std (x) = √1.9982639336111
Std (x) = 1.4135996
Std (x) = 1.41
Answer:
The Standard deviation of the random variable is 1.414.
Step-by-step explanation:
We Know,
Standard deviation= [tex]\sqrt{variance}[/tex]
Variance is given by:
[tex]Var(X)=E(X^{2} )-E(X)^{2}\\[/tex]
Given,
[tex]x = 0\ 1\ 2\ 3\ 4\ 5\\P(X=x)= \frac{11}{48} \ \frac{7}{24} \ \frac{3}{16}\ \frac{1}{6}\ \frac{1}{12}\ \frac{1}{24} \\[/tex]
[tex]E(X)=[/tex]∑ [tex]x*P(X)[/tex]
[tex]E(X) = 0+ 1*\frac{7}{24} + 2*\frac{3}{16} + 3*\frac{1}{6} + 4*\frac{1}{12} + 5*\frac{1}{24}\\= 1.7083[/tex]
[tex]E(X^{2} ) =[/tex][tex]0+ 1^{2} *\frac{7}{24} + 2^{2} *\frac{3}{16} + 3^{2} *\frac{1}{6} + 4^{2} *\frac{1}{12} + 5^{2} *\frac{1}{24}[/tex]
[tex]= 4.9167[/tex]
So,
[tex]Var(X)= 4.9167- 1.7083^{2}[/tex]
[tex]= 1.99841\\\\Hence, Standard Deviation= \sqrt{1.99841} \\\\ Standard Deviation= 1.413( (upto 3 decimals)[/tex]
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I need help with some math problems, thank you
Answers
Answer: segundo
Step-by-step explanation:
Help Again Please Answer The Image
Answers
BRAINLIEST FOR CORRECT ANSWER!
At a sale, dresses were sold for $24 each. This price was 12% of a dress's original price. How much did a dress originally cost?
Answers
Answer:
$200
Step-by-step explanation:
To find the original price, divide the price by 0.12:
24/0.12
= 200
So, the dress originally cost $200
Answer:
$200.
Step-by-step explanation:
To find the original price, divide the discounted price by 0.12.
$24 ÷ 0.12% = $200
The dress originally cost $200.
For the following quadratic equation, find the discriminant.
5x^2– 10x – 255 = 0
please help meee
Answers
Answer:
5200
Step-by-step explanation:
STEP 1: The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
[tex]b^2-4(ac)[/tex]
STEP 2: Substitute in the values of a, b, and c.
[tex](-10)^2-4(5)(-255)[/tex]
STEP 3: Evaluate the result to find the discriminant.
[tex]5200[/tex]
What does it mean when the x- coordinate or y-coordinate of a point is 0 ?
Answers
Answer:
The center of the coordinate system (where the lines intersect) is called the origin. The axes intersect when both x and y are zero. The coordinates of the origin are (0, 0). An ordered pair contains the coordinates of one point in the coordinate system.
Step-by-step explanation:
Answer: x, y coordinates are horizontal and vertical
Step-by-step explanation:
Find the slope using the formula.
(4, 19) and (2, 11)
Answers
Answer:
[tex]m=4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
(4, 19)
(2, 11)
Step 2: Find slope m
Substitute: [tex]m=\frac{11-19}{2-4}[/tex]Subtract: [tex]m=\frac{-8}{-2}[/tex]Divide: [tex]m=4[/tex]Algebra!!!
3 Questions Only take if you know ALL Answers
PLZZZ QUICK
Answers
Answer:
1. -7.5
2. $1
3. 40
Step-by-step explanation:
For number 1, it can be solved by using the PEMDAS method, or see explanation below:
6x - 4x - 36 = 6 - 2x
2x - 36= -2x + 6
4x + 36 = 6
4x = -30
x = -15/2 or -7.5
For number 2, substitute 3 into both equations:
f(x) =1.50(3) + 2.00
and
f(x) = 2.00(3) + 1.50
This would get $6.50 and $7.50, which, if subtracted, gets $1.
For number 3, do something similar to the previous problem. Substitute 3 for x. It would be 5(2^3), or 40.
Hope this helps!
use the figures below what is the ratio of AD to JM
A.2/3
B.6/5
C.3/2
Answers
If I knew what the figures looked like I could help you but since I don't. I'll just explain.
A: If 2/3 is a ratio provided then AD to JM might be 4 to 6
B: If 6/5 is a ratio provided then AD to JM might be 12 to 10
C: If 3/2 is a ratio provided then AD to JM might be 6 to 4
Rachel worked 2.5 hours on Monday, 3.5 hours on Tuesday, 2 hours on Thursday, and 5 hours on Saturday. She is paid $10.66 per hour. How much money did Rachel earn that week?
Answers
Answer:
$138.58
Step-by-step explanation:
You would first set up an equation. You want to know how much money Rachel earned that week, so let's refer to that by using variable t for total money earned this week.
Next, we also know that Rachel is paid 10.66 per hour, so we'll be multiplying it by the number of hours she worked this week. This allows us to set our equation up as follows:
10.66(2.5+3.5+2+5) = t
You would now add like terms.
10.66(13) = t
You would now multiply 10.66 and 13(total number of hours worked this week).
This would get us 138.58, or the total numnber of money Rachel earned this week.
A box that measures 15 inches by 5 inches by 3 inches.
What are the units of the volume of the figure?
square inches
cubic inches
square centimeters
cubic centimeters
Answers
Answer: cubic inches.
Step-by-step explanation: When calculating volume, all of the units must be cubed. And all of the measurements are in inches.
an electrician has a 16-foot spool of wire and he needs to cut an 11-foot, 4-inch piece from the spool to make a repair. how many inches of wire will he have left on the spool after he makes the repair
Answers
11 x 12 + 4 = 136 inches required for the repair
192 - 136 = 56 inches remaining on the spool, after the repair.
The electrician will have 56 inches of wire left on the spool after he makes the repair.
First, we need to convert the length of the wire that the electrician needs to cut into inches. 11 feet is equal to 11 * 12 = 132 inches, and 4 inches is equal to 4, so the total length of the wire that the electrician needs to cut is 132 + 4 = 136 inches.
The electrician started with a spool of wire that was 16 feet long, or 16 * 12 = 192 inches long. If he needs to cut 136 inches of wire, he will have 192 - 136 = 56 inches of wire left on the spool.
Therefore, the electrician will have 56 inches of wire left on the spool after he makes the repair.
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j
— + 7 = -12
-2
what is the answer
Answers
30/-2 + 7=12
——————
Answer:
j=38
Step-by-step explanation:
j
— + 7 = -12
-2
move the (7) to the other side by subtracting,
-12-7= 19
j
— = -19
-2
continue by moving (-2) to the other side as well, do so by multiplying,
-19*-2= 38
therefore, j=38
Is the equation a linear function or nonlinear function?
y = 0.5x – 1
Answers
Answer:
Linear.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 0.5x - 1
Step 2: Compare
y = mx + b
y = 0.5x - 1
m = 0.5
b = -1
The equation is a linear function. It's proportional.
Nicole is making 1,000 bows for people who donate to the library book sale. She needs a piece of ribbon that is 0.45meter long for each bow. How many meters of ribbon does Nicole need to make the bows?
Answers
Answer:
450 Ribbons
Step-by-step explanation:
multiply the length of 1 ribbon by how many she needs to make. we get, 0.45m x 1000bows
that's 450m ribbon.
plz mark this as brainliest and I hope I helped :)
Need help will mark Brainliest
Answers
Answer:
40
Step-by-step explanation:
You know that angle m<SRT is 40, because it's a supplementary angle with 140. 180 - 140 = 40.
Next, you also know that the interior angles of a triangle add up to 180, so you would now make an equation adding all three angles and setting them equal to 180.
40 + 3x + 4 + 8x + 4 = 180
You would now add like terms.
11x + 48 = 180
You would now subtract 48 from both sides.
11x = 132
You would now divide both sides by 11.
x = 12
You would now plug x into m<RST, 3x + 4.
3(12) + 4 = m<RST
36 + 4 = m<RST
40 = m<RST
Dale has written too many checks and his bank balance is –42.68. The bank will charge him an overdraft fee of $25. How much does he need to deposit so that his bank balance will be $50?
Answers
Answer:
$117.68
Step-by-step explanation:
You have to add them all together, because if he has a negative amount, he first needs to get that to 0. He then pays the overdraft fee, keeping him at 0. Lastly, he pays $50 to put it into his account. Good luck!
PLS HELP!!! Which statement about numbers is true?
All whole numbers are rational numbers
All rational numbers are integers
All rational numbers are whole numbers
All integers are whole numbers
First to answer will be voted brainliest!!
Answers
Answer:
all integers are whole numbers
please help im stuck
Answers
Answer:
NOT a relation and NOT a function
3÷x-1-3÷x+1=4 solve this equation in in quadratic equation
Answers
Answer: that equation is wrong because ever time I put the equation in the calculator it would not give me the answer, and it will tell me that We think you wrote this 3-:x-1-3-:x+1=4.
may you write the equation a little please, not to mean or anything but it would not give me the answer.
Answer:
no solution
Step-by-step explanation:
PLS HELP ME FAST WILL GIVE POINTS
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(9, 0), Q(6, 3), and R(−3, −6). Triangle P′Q′R′ has vertices P′(3, 0), Q′(2, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answers
Answer:
The scale factor of the dilation that transforms the triangle is 1/3
Step-by-step explanation:
9x1/3 is 3. 6x1/3 is 2, etc.
Taylor had 100 pieces of Lego in her collection, but she lost 15 pieces. What
percent did she lose?
Answers
Answer:
15%
Step-by-step explanation:
Percent is (usually) out of 100. So since the unit is already 100 you can just look at how much she did lose. (^-^)