Answer:
[tex]A' = -51[/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex]
Required
Determine the determinant of A (A')
If
[tex]A = \left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]
Then,
[tex]A' = a(e*i - f * h) - b(d * i - g * f) + c(d * h - e * g)[/tex]
So:
The determinant of [tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex] is
[tex]A' = -2(-1 * -5 -(-2)*3) -2(4 * -5 -(-2) * 1) -5(4 * 3- (-1) * 1)[/tex]
[tex]A' = -2(5 +6) -2(-20 +2) -5(12 + 1)[/tex]
[tex]A' = -2(11) -2(-18) -5(13)[/tex]
[tex]A' = -22 +36 -65[/tex]
[tex]A' = -51[/tex]
Hence, the determinant is -51
Let p (x ) = x^3 - 3x^2 - 10x + 24. What is the remainder when p (x ) is divided by x - 1?
Answer:
The remainder is 12.
Step-by-step explanation:
The Polynomial Remainder Theorem
The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
We are given the polynomial:
[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]
And we are required to find the remainder when p(x) is divided by (x-1).
We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:
[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]
Remainder= 1 - 3 - 10 + 24 = 12
The remainder is 12.
PLEASE HELP ME !!!! I need help
Answer:
69300 is the total amount without being rounded but after being rounded the answer is 5600
Step-by-step explanation:
You put it in the other comment section for free points
Devaughn's age is two times Sydney's age. The sum of their ages is 18. What is Sydney's age?
Answer:
Sydney's Age is 6
Step-by-step explanation:
6 x 2 = 12
12 + 6 = 18
Answer:
Sydney is 6
Step-by-step explanation:
You get this by dividing 18 by three, as one set of 6 is Sydney while tcice that is her brother.
Hayden plans to take a loan out to buy his Ultimate PC
Gaming Desktop. He will borrow $6,200 from the bank
at a rate of 3.5% annually. The length of the loan will be
5 years. How much interest will Hayden have to pay on
the loan? What is the total that Hayden will have to pay
the bank back?
Give step by step plz
Answer:
The rate of simple interest for loan was 8%
Step-by-step explanation:
Given
Principal amount = p = $6200
Time = t = 1 year
Amount after interest = $6696
We have to calculate the amount of interest first
So,
Interest amount =I= Amount after interest - principal amount
= 6696-6200
=$496
The formula for simple interest is:
The rate of simple interest for loan was 8%
Keywords: Simple interest, percentage
Learn more about simple interest at:
Convert 0.001 kL to g
Answer:
1000 g
Step-by-step explanation:
That is the answer
Answer:
Step-by-step explanation:
1 gram.
The ordered pair (2, 5) is a solution to the system of linear equations.
x + y = 7
2x - 3y = -11
True
False
I have the answers i just need to know the solution on how you do 10 and 11.
Simplify using the laws of exponets.
Answer:
2*5
Step-by-step explanation:
when youre dividing with powers you have to subtract them so 2*5-2*4=2*1. When the power is in brackets you multiply the whole power. So 2*1 x 5 = 2*5.
Given that a baby is 8month and her elder sister is 4 years old, express their ages as a ratio
Answer:
the ratio: 6:1
Step-by-step explanation:
to make it as a ratio :
We will make 4 years as months
So 4x12 =48
then the ratio: 48:8
6:1
hope this helps
12 1 10 − 5 5 6 = Enter the fraction as a mixed number in simplest form. Use a space between the whole and fractional part.
Answer:
467
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLEIST
y=9
x=12
hope its right pls do mark me the brainleist
Which set of numbers represents the DOMAIN for the following table below?
X -3 4 6 -12
Y 5 -6 2 0
A
{4,5,6,12}
B
{−12,−3,4,6}
C
{−12,3,4,6}
D
{0,5,−6,2}
Answer:
B. (-12,-3,4,6)
Step-by-step explanation:
The above question is asking the domain
A total of 600 advertisements were sold for a certain magazine. If 20 percent of the first 200 sold were in color, 40 percent of the next 300 sold were in color, and 80 percent of the last 100 sold were in color, what percent of the 600 advertisements were in color?
Answer:
40%
Step-by-step explanation:
First, find how many of the first 200 were in color:
200(0.2)
= 40
Then, find how many of the next 300 were in color:
300(0.4)
= 120
Find how many of the last 100 were in color:
100(0.8)
= 80
Then, add these all together to find how many were in color:
40 + 120 + 80
= 240
Then, divide 240 by 600 to find the percent that were in color:
240/600
= 0.4
So, 40% of the 600 advertisements were in color
Using the formula for Fahrenheit and Celsius temperatures, F = 9/5 C + 32.
If the temperature is currently 25 degrees F. what is the temperature in C
degrees? Round to the nearest WHOLE number. LABEL
Answer:
-4 degrees Celsius
Step-by-step explanation:
F = 25
Substitute into formula: 25 = 9/5C + 32
subtract 32 from each side: -7 = 9/5C
multiply each side by the reciprocal of 9/5, which is 5/9
-7(5/9) = C
C = -35/9 which is close to -36/9 which is -4 degrees Celsius
choose all of the points that are solutions to y = 3x + 2 / 2x - 1.
A.(-2, 4/5)
B.(-1, -5)
C.(0, -2)
D.(0, -2/3)
E.(1, 3/2)
F.(1, 5)
G.(4, 14)
Answer:
a d f g
Step-by-step explanation:
Answer:
its abfg
Step-by-step explanation:
Given the following list of data, find the median.
1,3, 1.23, 2, 4, 22, 13, 26. 8
Answer:
solution
or, (N+1) th item
_
2
or ,8+1 th item
_
2
or,9
_
2
or,4.5 th item hence the median is4
The median of the given numbers will be 8.5.
What is the median?The Median is the middlemost value of the numbers arranged in ascending orders. If the number of the data is an odd number so the median will be a middle number if the number of the data is even then the median is the mean of the middle two numbers.
The given data is:-
1 , 1.23 , 2 , 3 , 4 , 13 , 22 , 26.8
The total numbers of the data are 8 so the median will be calculated as:-
Median = ( 4 + 13 ) / 2
Median = 17 / 2
Median = 8.5
Therefore the median of the given numbers will be 8.5.
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A board game was originally priced at $24, it is on sale now for $18. What percent off is the game (percent of
change)?
See attachment for your problem set up.
Answer:
This is a 25% decrease
Step-by-step explanation:
Find the difference between the two prices
24- 18 = 6
Take that over the original price
6 /24 = 1/4
Change to decimal form
.25
Change to percent form
25%
This is a 25% decrease
A cellular phone company charges $67.95 per month for a service plan that includes 6 GB of data. In addition to the basic monthly rate, the company charges $8.95 for each additional GB of data over 6 GB. A customer on this plan receives a bill for $148.50. How much data did this customer send and receive during the month?
Answer:
The customer send and receive 15 GB of data during the month.
Step-by-step explanation:
Given;
Monthly charge for 6 GB of data = $67.95
Additional charge for each additional GB of data over 6 GB = $8.95
Bill received by the customer = $148.50
Therefore, we have:
Total amount paid for additional GB of data over 6 GB = Bill received by the customer - Monthly charge for 6 GB of data = $148.50 - $67.95 = $80.55
Additional GB of data over 6 GB = Total amount paid for additional GB of data over 6 GB / Additional charge for each additional GB of data over 6 GB = $80.55 / $8.95 = 9 GB
Total data customer send and receive during the month = 6 GB + Additional GB of data over 6 GB = 6 GB + 9 GB = 15 GB
Therefore, the customer send and receive 15 GB of data during the month.
Val is going to plant vegetable seeds in one garden and 5b+2 vegetable seeds in another. How many seeds is Val going to plant?
Answer:
6d+2
Step-by-step explanation:my teacher told me
find the it out 12 divided by 3/5
Answer:
20
Step-by-step explanation:
hope this helps. i am in algebra two so you can trust my answer. happy holidays stay safe
Answer:
20 Hope this helps!
Diana creates a graph of money she earns y for working x hours the graph contains the points 34,408 40,489 46 588
Answer:D and E I think
Step-by-step explanation:
PLEASEE HELP 51 POINTS PLEASEE
Answer:
Part A is $21 and part B is $30.21
Is 3x + 4 proportional? Explain.
Answer:
Since it is a linear function, it is a directly proportional function
Step-by-step explanation:
i looked it up
9514 1404 393
Answer:
no
Step-by-step explanation:
An equation representing a proportional relationship looks like ...
y = kx
where k is the constant of proportionality. A notable feature of this equation is that its y-intercept is zero.
Your expression has a y-intercept of +4, so does not represent a proportion.
_____
Additional comment
Strictly speaking, a proportion is a statement of equality of two ratios. An expression cannot be a proportion. We interpreted your question to be ...
does y = 3x+4 express a proportional relationship?
which of the following quadratic equation is written in standard form?
a.3x-2x ²=7
b.-2x ²-7=-3x
c.-2x-7+3x=0
d.-2x ²+3x-7=0
Answer:
d. -2x²+3x-7
Step-by-step explanation:
Standard form is: Ax²+Bx+C
Can someone help me explain please?
Answer:
B. 16 = 4y
y = 4
Answer:
B. 16 = 4y
Step-by-step explanation:
Long block = 16Amount of blocks that make the long block (16): 4Label of the small blocks: yTotal of small blocks: y × 4y × 4 = 4yBecause the long block and the y blocks are equal, 16 = 4yI hope this helps!
The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
A.) 30 degrees
B.)40 degrees
C.)45 degrees
D.)27 degree
Answer:
30° is one of the degree measures of the angles.
Hence, option (A) is true.
Step-by-step explanation:
Let 'x' be the degree measure of the first angle.Given that the degree measure of one of two complementary angles is twice that of the other.
Thus, the other angle = 2xComplementary angles
We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.Thus the equation becomes
x + 2x = 90°
3x = 90°
Divide both equations by 3
3x/3 = 90°/3
x = 30°
Therefore, 30° is one of the degree measures of the angles.
Hence, option (A) is true.
The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
Answer :A.) 30 degrees
Solution :Let one angle = x
According to statement,
Another angle = 2 × first angle
[tex] \sf : \implies Another \: angle = 2x[/tex]
Now, we know that sum of complementary angles is 90°
Hence,
[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]
[tex] \sf : \implies 3x = 90^{\circ}[/tex]
[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]
[tex] \sf : \implies x = 30^{\circ}[/tex]
[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]
Therefore, one of the angle is 30°.
Another angle = 2 × 30° = 60°
1
Which expression is NOT equivalent
to 1.24 X 0.9?
(124 x 90) x (160 x 100)
(124 X 9) * (100 x 10)
(0.124 X 9) X (10 x
(10 x 10)
(124 x 9) * (10 x 10)
The expression (124 × 9) × (1/10 × 1/10) is NOT equivalent to 1.24 × 0.9. which is the correct answer would be an option (D).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
A. (124 × 90) × (1/100 × 1/100) simplifies to 1.24 × 0.9 because 124 × 90 = 11160 and 1/100 × 1/100 = 1/10000, so the expression is equivalent to (11160/10000) × 0.9 = 1.24 × 0.9.
Similarly, expressions B and C can be rearranged as (9 × 1/10) × (0.124 × 10), which is also equivalent to 1.24 × 0.9.
B. (124 × 9) × (1/100 × 1/10) simplifies to 1.24 × 0.9 because 124 × 9 = 1116 and 1/100 × 1/10 = 1/1000, so the expression is equivalent to (1116/1000) × 0.9 = 1.24 × 0.9.
C. (0.124 × 9) × (10 × 1/10) also simplifies to 1.24 × 0.9 because 0.124 × 9 = 1.116 and 10 × 1/10 = 1, so the expression is equivalent to (1.116/1) × 0.9 = 1.24 × 0.9.
However, expression D cannot be rearranged to the form 1.24 × 0.9 because it contains the factors 124 and 90, which are not equivalent to 1.24 and 0.9, respectively.
Therefore, expression D is not equivalent to 1.24 × 0.9.
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What is the quotient of the rational expressions shown below? Make sure
your answer is in reduced form.
x2 + 5x +6/x-6/x^2-9/2x-12
Picture of the right answers
Hence, the quotient of the rational expression given below is x-3.
How to solve?
To solve the division we will use basic properties of rational numbers here.
The first step is to factor numerator/denominator if possible.
To divide the expressions follow the following steps
1.leave the first fraction as it is
2. Convert division to multiplication
3.Turn the second fraction upside down
([tex]x^{2}[/tex]+5x+6)/x-6 / ([tex]x^{2}[/tex]-9)/2x-12
=([tex]x^{2}[/tex]+5x+6)(2(x-6))/([tex]x^{2}[/tex]-9)(x-6)
=2([tex]x^{2}[/tex]+5x+6)/[tex]x^{2}[/tex]-9
By splitting the quadratic equation into factors we get,
[tex]x^{2}[/tex]+5x+6=(x+2)(x+3)
and using the formula [tex]a^{2}[/tex]-[tex]b^{2}[/tex]=(a-b)(a+b) we get [tex]x^{2}[/tex]-9=(x-3)(x+3)
=2(x+3)(x+2)/(x+3)(x-3)
=2(x+2)/(x-3)
hence, the quotient of the given ration expression is x-3.
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The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 16 mph and the Mystic travels at 20 mph. How far apart will they be in 2 hours? A. 52 miles B. 56 miles C. 40 miles D. 72 miles
Answer:
te puedo responder pero debes hacer primero tu tarea
Step-by-step explanation:
Solve to find the area:
Answer:
16cm^2
Step-by-step explanation:
well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16
Answer:
16 cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Triangle: A = 1/2bhStep-by-step explanation:
Step 1: Define
Base b = 8 cm
Height h = 4 cm
Step 2: Find A
Substitute [Area]: A = 1/2(8 cm)(4 cm)Multiply: A = (4 cm)(4 cm)Multiply: A = 16 cm²