[tex]\huge{\underline{\underline{\boxed{\sf{\purple{Answer}}}}}}[/tex]
Since column 3 of the given matrix consists of numbers which are all constant multiples of each other, there is a theorem which states that the determinant of this matrix is 0 .However, I will prove it from calculation just to verify and show how you would calculate such determinants should you not be aware of the theorems of linear matrix algebra.Use co-factor expansion along any row or column of your choice.This involves adding the products of the entries in each row with their co-factors[tex] { - 1}^({i + j} )[/tex]for an entry in row I and column j, multiplied by the minor of the entry, formed by evaluating the resulting determinant when you delete row I and column j.In this case, since the given matrix is 3x3 indimension, it will result in three 2×2 determinants which we can find from definition[tex] \binom{a \: b}{c \: d} [/tex] = ad-bc
I will take co-factor expansion along row 1 as an example to find the determinant of the given matrix as :
∆=[tex] 1( - 1) {}^{1 + 1} {} \binom{56}{8 \: 9} + 2( - 1) {}^{1 + 2} \binom{4 \: 6}{7 \: 9} + 3( - 1) {}^{1 + 3} \binom{4 \: 5}{7 \: 8} \\ = 1(45 - 48) +( - 2)(36 - 42) + 3(32 - 35) \\ = - 3 + 12 - 9 \\ = 0 [/tex]
Anyone that can answer it right gets 30!
Answer:C)
it's 13
A) is 11
B) also 11
C) 13=13
D)343
Answer:
The correct choice is c. 1+2•6
Step-by-step explanation:
5+2³ = 1+2•65+8 = 1+1213 = 13Plane B is flying 55mph
55
mph
faster than Plane A and can fly 4275
4275
miles in the same amount of time it takes Plane A to fly 4000
4000
miles. Find the amount of time it takes for each plane to travel their respective distances.
Answer:
It takes around 5s for each plane to travel their respective distances.
Step-by-step explanation:
plz help!!!!!!!!!!!!!!!!
Answer:
C = 50°
Step-by-step explanation:
In the given figure, it tells us which angles are the same. ( You can look at the red marks. )
So, 68 + 62 = 130.
As we all know, the sum of all angles in any triangle is 180.
So, 180 - 130 = 50.
That is Angle C.
I hope it helps.
Convert 32∘C to ∘F. Round to one decimal place.
Answer:
89.6°F
Step-by-step explanation:
hope this helps
have a good day or night
Answer:
89.6∘F
Step-by-step explanation:
[tex](32 * \frac{9}{5}) + 32\\\rule{150}{0.5}\\ 57 . 6 + 32\\\\\boxed{89.6}[/tex]
32∘C should be 89.6∘F.
Hope this helps.
share £650 in the ratio of 4:9
Answer:
200:450 that would be the answer i believe
What is the slope of the line on the graph?
Answer:
Step-by-step explanation: to find the slope rise over run
Acute triangle from one point to the other
Answer 4/11
Please help! I'm confused
The solution to the equation f(x) = g(x) is any x-value that makes the equation true. In terms of using graphs, the solutions are the x-coordinates of any point of intersection.
So if the graphs intersect at (1,5), then the solution is x=1.
This checks, because f(1) = 5 and g(1) = 5, so f(1) = g(1).
Solve for w.
16w–w–12w–2w=13
w=
Answer:
w = win
Step-by-step explanation:
w=13
Answer:
w = 13
Step-by-step explanation:
16w - w = 15w
15w - 12w = 3w
3w - 2w = w
w = 13
be precise yesterday
Answer:
is this supposed to be a free point question? I'm confuzzled
Solve
27-(-8)
A. 35
B. 19
C. -19
D. -35
The correct alternative that, matches the correct value of this expression is the letter A. That is, the answer will be 35.
Step-by-step explanation:To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.
_ When the signs are the same: just add them up.
_ When the signs are different: just subtract.
Resolution:[tex]\large \sf =27-(-8)[/tex]
[tex]\large \sf =27+8[/tex]
[tex]\boxed{\boxed{\large \sf \ 35 \ }}[/tex]
So, the numeric value of this numeric expression will be 35.
Match the dimensions of each rectangle with its corresponding area.
3 feet by 8 feet
90 square feet
5 feet by 7 feet
24 square feet
9 feet by 10 feet
64 square feet
13 feet by 2 feet
26 square feet
8 feet by 8 feet
35 square feet
Answer:
3x8= 24sf
5x7= 35sf
9x10= 90sf
13x2= 26sf
8x8= 64sf
Step-by-step explanation:
19. Round the number 347 500 to the nearest 1000; 10 000 and 100 000.
To the nearest 1000
To the nearest 10 000
To the nearest 100 000
Answer:
34800, 350000, 300000
Step-by-step explanation:
5>=5
34800
7>=5
350000
4<=5
300000
The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 meters per second, what is the distance traveled in 9 seconds?
Answer:
40.5 meters
Step-by-step explanation:
4.5m/s • 9s = 40.5m
Simplify the expression.
6(12 – 3) + 4 + (3 × 2)
a.64
b.96
c.144
d.208
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]6(12-3)+4+(3)(2)[/tex]
[tex]=(6)(9)+4+(3)(2)[/tex]
[tex]=54+4+(3)(2)[/tex]
[tex]=58+(3)(2)[/tex]
[tex]=58+6[/tex]
[tex]= 64[/tex]
Answer:64.
Hopefully, this helps you!!
[tex]Sokka[/tex]
Please any math experts helps thank you
Answer:
[tex]\frac{t^2-16}{t^2-8t+16}[/tex]
We can factorise the numerator which the difference of squares formula:
[tex]x^2-y^2=(x+y)(x-y)[/tex]
---------------------------------
[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{t^2-8t+16}[/tex]
Next, factorise the denominator:
[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{(t-4)^2}[/tex]
[tex]\frac{(t+4)(t-4)}{(t-4)(t-4)}[/tex]
Cancel out the common factor of (t-4):
[tex]\frac{t+4}{t-4}[/tex]
Write an equation for the nth term of the arithmetic sequence −3, 2, 7, 12, Then find a50.
The equation is =___
Answer:
Pretty much f(n)=-3+5n-1
Step-by-step explanation:
for the 50th term 242
guys help
Evaluate the numerical expression.
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]
= (25)2 × 100 ÷ 23 + [24 ÷ 8]
= 25 × 2 × 100/23 + 3
= 5000/23 + 3
= 5000+69/23
= 5069/23
= 220 9/23
b) Complete the table to show the total amount of calories Mary will burn for
cycling and running for 0, 10, 15, and 30 minutes. Show and explain your work.
Minutes (m)
Total Calories Burned (C)
0
10
For 0 minutes she can burn 0 calories
For 10 minutes she can burn 20-40 calories
For 15 mins she can burn 40-60 calories
For 30 minutes she can burn 140-295 calories
I hoped this helped!
Have a great day/night! :)
Food A 150 calories in 3/4 of a serving. Food B 250 calories in 2/3 of a serving. Find each unit rate. Which food has fewer calories per serving?
Help me answer 1c, thank you!
Answer:
bilmiyom bu kadar cevap
Help quick 20 points
Answer:
Step-by-step explanation:
1) isosceles triangle d = (180 - 110) / 2 = 35°
2) 2h + 3h + 4h = 180
9h = 180
h = 20
2h = 40°
3h = 60°
4h = 80°
Consider the following equation:
5x+4y=−3
Determine if the given ordered pair, (1,−2), satisfies the given equation
yes or no
Answer:
(1, - 2 ) is a solution
Step-by-step explanation:
Substitute the coordinates into the left side and if equal to the right side then the ordered pair is a solution.
5(1) + 4(- 2) = 5 + (- 8) = 5 - 8 = - 3 = right- side
Then (1, - 2 ) is a solution of the equation
A game designer is creating a computer animation of a rectangle with sides that vary in size. The length of the rectangle in centimeters after t seconds is given by the expression 2t-9, while the width is given by the expression 1 + t. After how many seconds is the rectangle a square?
Answer:
Step-by-step explanation:
Squares have equal length and widths
2t - 9 = 1 + t
2t - t - 9 + 9 = 1 + 9 + t - t
t = 10 s
Given that 6 >-2, which statements are true? Check all that apply. (2)(6)>(-2)(2) 6 --2 2 2. 0 (-2)(6)>(-2)(-2) 6 -2 -2 -2 (2)(6)
Answer:
Gogogigi
Step-by-step explanation:
can you please help me
Answer:
84000
Step-by-step explanation:
just searched it up plus you have to multiply it
Evaluate the expression 8+7
Answer:
15
Step-by-step explanation:
Calculate the sum of 8+7 which is 15
Help pls!!!!!!
Yghhjjhgf
Answer:
[tex]\sf{Exact\:form:\\\sqrt[4]{81}\\[/tex]
[tex]\bold{Decimal\:form:-3}[/tex]
Step-by-step explanation:
[tex]-81^\frac{1}{4}[/tex]
[tex]\mathrm{Convert\: to\: radical\: form\: using\: the\: formula\:}\: a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]
[tex]\mathrm{If\:} n \mathrm{\:is\: a\: positive\: integer\: that\: is\: greater\: than\:} x\mathrm{\:and\:} a \mathrm{\:is\: a\: real\: number\: or\: a\: factor, then} \\a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]
[tex]\mathrm{Use\: the\: rule\: to\: convert\: -81^\frac{1}{4}\: to\: a\: radical, where\:} a=-81,\ x=1, \mathrm{and\:} n=4\\\sqrt[4]{81}[/tex]
[tex]\mathrm{Plug\: the\: points:}\\\\a^\frac{x}{n} = \sqrt[n]{a^x}\\-81^\frac{1}{4} =\sqrt[4]{81}[/tex]
[tex]\mathrm{Solve}\\\\\mathrm{The\: result\: can\: be\: shown\: in\: multiple\: forms.}[/tex]
if y=x^3+3 find the value of y when x=2
Answer:
11
Step-by-step explanation:
Substitute [tex]x=2:[/tex]
[tex]y=x^3+3[/tex]
[tex]y=2^3+3\\ =8+3\\ =11[/tex]
A recipe for cinnamon rolls calls for 3 cups of flour for every cup of water. Using the same recipe, how much water will you need for 5 cups of flour?
How many cups of water will you need for 5 cups of flour?
Answer:
5/3 cups of flour
Step-by-step explanation:
3/1=5/x x representing the amount of water
cross multiply: 3x=5
divide by 3: x=5/3
FedEx will ship the Olympic medals from the producer to Japan. Each medal weighs 0.5 kilograms. A box carries 6 medals. If FedEx charges $28 per every 10 kilograms, how much will cost to ship 30 medals ?
A. $280
B. $168
C. $42
Answer:
42
Step-by-step explanation:
weight of medals:
30 (0,5) = 15 kg
cost of 5 kg:
28/2 = 14
cost of shipping:
14+28=42