Answers
Answer:
The answer is ' A '
Step-by-step explanation:
:D
The inverse of the matrix will be [tex]\left[\begin{array}{cc}\dfrac{9}{7}&\dfrac{2}{7}\\\dfrac{10}{7}&\dfrac{3}{7}\\\end{array}\right][/tex]. The correct option is A.
What is a matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions that are arranged in rows and columns to represent a mathematical object or a property of such an object in mathematics. For instance, consider a matrix with two rows and three columns.
Given that the matrix is [tex]\left[\begin{array}{cc}3&-2\\-10&9\\\end{array}\right][/tex]. The inverse of the matrix can be solved as below,
[tex]A^{-1} = \dfrac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right][/tex]
[tex]A^{-1} = \dfrac{1}{3\times9-20}\left[\begin{array}{cc}9&2\\10&3\\\end{array}\right][/tex]
[tex]A^{-1} = \dfrac{1}{7}\left[\begin{array}{cc}9&2\\10&3\\\end{array}\right][/tex]
[tex]A^{-1}=\left[\begin{array}{cc}\dfrac{9}{7}&\dfrac{2}{7}\\\dfrac{10}{7}&\dfrac{3}{7}\\\end{array}\right][/tex].
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Related Questions
Question 3: Tyrone gets paid $ 7.25 per hour and a bonus of $ 25 if he finishes his work early. Which of the following expressions represents how much money Tyrone makes when he finishes work early? 7.25 + 25x 7.25 + x + 25 7.25x + 25 7.25 + x − 25
Answers
wath? is 300-100 do it good
Answers
Answer:
it's 200
Step-by-step explanation:
that's it's thats the anwrt
Answer:
200
Step-by-step explanation:
[tex]300 - 100[/tex]
[tex]subtract ~the~ hundreds~ digit, 3 ~minus ~1, ~which ~ is ~ 2[/tex][tex]subtract ~the~ tens~ digit, 0 ~minus ~0, ~which ~ is ~ 0[/tex]
[tex]subtract ~the~ units~ digit, 0 ~minus ~0, ~which ~ is ~ 0[/tex]
[tex]put~it~back~into~its~place~value[/tex]
[tex]300~minus~100~is~ 2 ~0~ 0, 200[/tex]
Which of the following answers is the simplified form?
Answers
Answer:
the answer is c, 1/81
Step-by-step explanation:
Hope this helps! :)
Why is 45 minutes
equal to 3/4 of an hour?
Answers
1 hour = 60 minutes
45 min = (45 min)/(60 min) = 45/60 = 3/4 of an hour.
To go from 45/60 to 3/4, I divided both top and bottom by the GCF 15.
Answer:
45 minutes equal to 3/4 of an hour because, if you convert the one hour into minutes (60 minutes) it is divisible by 15 four times.
3 · 15 = 45.
TRUE OR FALSE
1.The rule applied in equation a2 + a5 = a7 is product rule
2.The product of a and a is 2a.
3.To solve the expression (2a)3, product rule should be applied?
4.The product of -3 and 9x is -27x
5.We can NOT multiply polynomials if the terms are not similar.
6.We can multiply polynomials even if the terms are not similar.
7.The product of 5x and (2x +2) has two terms.
8.In sovling the expression 4x(2x + 2), using power rule is the first step.
9.The product of -2a and -10a9 is -20a10
10.To solve the expression (3a3)9, power rule should be applied.
Answers
1. True
2. False
3. False
4. True
5. False
6. True
7. True
8. False
9. True
10. True
If 2sin theta = √3, (0° < theta <90° ), then find the value of theta
Answers
[tex]2sin(\theta )+\sqrt{3}=0\implies 2sin(\theta )=-\sqrt{3}\implies sin(\theta )=-\cfrac{\sqrt{3}}{2} \\\\\\ sin^{-1}\left[ sin(\theta ) \right]=sin^{-1}\left( -\cfrac{\sqrt{3}}{2} \right) \implies \theta =sin^{-1}\left( -\cfrac{\sqrt{3}}{2} \right)\implies \theta \begin{cases} \stackrel{III~Quadrant}{\frac{4\pi }{3}}\\\\ \stackrel{IV~Quadrant}{\frac{5\pi }{3}} \end{cases}[/tex]
check your Unit Circle.
2. Which equation demonstrates the identity property of multiplication?
5/5 x 8 =
1/5x 8 =
3/5x 8 =
5/1 x 8 =
Answers
Answer
5/5 x 8 =
Step-by-step explanation:
a fraction with the same number as the denomenator and numerator is the same no matter what it is multiplied by
circle the expressions that give the same product as 5 x 3/7
Answers
The product of expressions is gotten by multiplying the expressions
The expression that give the same product as 5 * 3/7 is 3 * 5/7
How to determine the productThe product expression is given as:
5 * 3/7
Evaluate the product
5 * 3/7 = 15/7
Express 15 as the product of 3 and 5.
So, we have:
5 * 3/7 = 3 * 5/7
Hence, the expression that give the same product as 5 * 3/7 is 3 * 5/7
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Minutes (m)
Words (w)
Use the relationship between quantities to calculate the
missing values in the table.
1
250
A=
B=
2
500
3
A
4
1,000
5
B
NEED HELP
Answers
Step-by-step explanation:
as the first 2 lines show us : there is a linear relationship between minutes and words.
1 minute correlates to 250 words.
2 minutes correlate to 500 = 2×250 words.
so, we see, every minute represents 250 words.
therefore, 3 minutes (A) correlate to 3×250 = 750 words.
and 5 minutes (B) correlate to 5×250 = 1250 words.
What is 5 1/2 +2 1/7 due in one hour help please
Answers
Answer:
7 9/14
Step-by-step explanation:
1/2=7/14
1/7=2/14
7/14+2/14=9/14
5+2=7
Answer:
7.64285714286
Step-by-step explanation:
You may not need all those numbers so your answer may be 7.64 or something near it, but that is the approximate answer.
solve the following equation 6/8 + 1 equals 26 - 2 x
Answers
Answer:
x = 97/8
Step-by-step explanation:
6/8 + 1 = 26 - 2x
6/8 + 8/8 = 26 - 2x
14/8 = 26 - 2x
14/8 - 26 = -2x
14/8 - 208/8 = -2x
-194/8 = -2x
194/16 = x
x = 97/8
The dimensions of a box that is a rectangular prism are 3 inches, 4 inches, and 6 inches. What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?
a 5 inches
b 6.7 inches
c 7.8 inches
d 61 inches
Rodney chose b as the correct answer. how did he get that answer
Answers
Answer: C
Step-by-step explanation:
We can use the 3D pythagorean theorem.
This gives us sqrt(3^2 + 4^2 + 6^2) = sqrt(61), which is about 7.8
As to how he got B, I don't know.
What is the value of x2 + 3 4y when x = 2 and y = 5?
18
20
21
37
Answers
Answer:
21
Step-by-step explanation:
x2 + 3.4y, when x = 2, y = 5
(2)2+3.4(5)
2×2+3.4×5
4+5×3.4
4+17
21
Hope it helps! :)
How many kilograms are in 14,500 grams?
Answers
Answer: 14.5
Step-by-step explanation: there is 1000 g in a kg
given the point (0,7) determine the points that are symmetric to this point with respect to the axis, and the origin respectively.
Answers
1. Observe Problem
It can be flipped on the x axis and y axis
so, Flipped on the x axis, it becomes:
(0,-7)So, flipped on the y axis, it becomes:
(0,7)Which is the same thing
please helpppp btw not sure if the letter clicked is right or not it just won’t let me un select lol
Answers
Answer is (a) 2
Proof
f(x)=(x^2) + 1.
g(x) = x + 2
f[g(-1)]
First considering g(-1)
g(-1)=(-1) + 2 = 1
f[g(-1)] = f(1)
=(1^2) + 1
=1+1=2
Hence f[g(-1)]=2
The table below shows the amount of money that Samantha has in her retirement account during the months of January and February.
January February
$29,000 $28,000
What could happen in March to make the net change in her account $0 from January to March?
A.
She withdraws $1,000 from her retirement account.
B.
Her retirement account value decreases by $1,000.
C.
She gets a loan of $1,000 from her retirement account.
D.
Her company puts a $1,000 bonus into her retirement account.
Answers
Answer:
D. Her company puts a $1,000 bonus into her retirement account.Step-by-step explanation:
Since the amount in the retirement account has decreased in February, she needs the increase by same amount, $1000 to make it same as in January.
It is possible by adding $1000, which is the Option D, all other options end up with $1000 less than in February.
Marked up 60% new price 80$ what was original price
Answers
0.6x=80
6x=800
x=800/6=133.3333333333333333333333333333333...
which is 133 1/3 in a fraction
Johnny bought an oil painting originally priced at $80 but on sale for 50% off. After 10% sales tax, what was the total cost?
Answers
Answer:
Step-by-step explanation:
A sales tax is never applied until money actually changes hands.
So you need to start by taking 50% off.
50% 0f 80 dollars = 50/100 * 80 = 4000/100 = 40
So the cost of the painting = 80 - 40 = 40
Now apply the sales tax
10% of 40 dollars = 10/100 * 40 = 400/100 = 4
The total cost = 40 + 4 = 44 dollars
Question 10 of 10
Factor the trinomial below.
x2 - 2x - 35
O A. (x+5)(x-7)
O B. (x + 5)(x + 7)
O C. (x - 5)(x-7)
O D. (X - 5)(x+7)
Answers
Answer:
A
Step-by-step explanation:
[tex] { x}^{2} - 2x - 35 = (x + 5)(x - 7)[/tex]
[tex]5 + - 7 = - 2[/tex]
[tex]5 \times - 7 = - 35[/tex]
Find the x - and y -intercepts of the graph of the linear equation -x+8y=4 .
The x -intercept is
.
The y -intercept is
.
Answers
Answer:
the x -intercept is
Step-by-step explanation:
-x+8y=4
-4
1/2
Hope this helps (:
Which combined inequality has the same solution set shown in the graph of x?
Answers
Answer:
C. - 3 < x ≤ - 1Step-by-step explanation:
The graph is showing the interval between - 3 and - 1, the first point has open circle but the second one has closed circle.
The solution is:
- 3 < x ≤ - 1Correct choice is C
C. Determine if the statement suggests undefined term, defined term, axlom/postulate, theorem.
_____1.Money can't buy happiness.
_____2. Things that coincide with one another are equal to one another.
_____3. Collinear points are points on the same line.
_____4. The sum of the measures of the 3 interior angles of a triangle is 180°.
_____5. Margie supports her answer with a statement that includes ideas about planes. _____6. O is a natural number.
_____7. In his two-column proof, he was able to prove that the statement is true.
_____8. Margie uses the GPS of her android phone to locate Gaisano Capital Danao while on her way there. The GPS shows a red dot. to represent the location of Gaisano Capital Danao. _____9. If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent.
_____10. A triangle is a 3-sided plane figure whose sides are formed by 3 line segments.
Answers
The statement suggests undefined term, defined term, axlom/postulate, theorem are given below.
What are postulates?Postulates are ideas suggested or accepted as a basic principle before a further idea is formed or developed from it.
Undefined Terms refers to those terms which usually do not require any formal definition.
1. Money can't buy happiness. undefined term
2. Things that coincide with one another are equal to one another. Postulates
3. Collinear points are points on the same line. Postulates
4. The sum of the measures of the 3 interior angles of a triangle is 180°. theorem
5. Margie supports her answer with a statement that includes ideas about planes. undefined term
6. O is a natural number. defined term
7. In his two-column proof, he was able to prove that the statement is true. defined term
8. Margie uses the GPS of her android phone to locate Gaisano Capital Danao while on her way there. The GPS shows a red dot. to represent the location of Gaisano Capital Danao. undefined term
9. If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent. postulate
10. A triangle is a 3-sided plane figure whose sides are formed by 3 line segments. postulate
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Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form. (-1,8) and (-8,6)
Answers
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
distance = [tex]\sqrt{((-1)-(-8))^2+(8-6)^2}=\sqrt{49+4}=\sqrt{53}[/tex]
A. 74
B. 57
C. 50
D. 124
find the value of x
Answers
The value of x for the given circle will be going to be 50°.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In another meaning, a circle is a geometrical figure whose shape is just like round wheel.
In our daily life, we always see circle objects for example our bike wheel.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Angles of Intersecting Chords Theorem;
When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.
So angle x = (60° + 40°)/2 = 50° hence it will be correct answer.
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whats a quarter of 31.06?
whats half of 31.06?
Answers
Answer:
A quarter of 31.06 is 7.65
A half of 31.06 is 15.53
Step-by-step explanation:
multiply 31.06 by 1/2 =15.53
What is the surface area?
5 ft
7 ft
7 ft
square feet
Answers
Answer:
238 square feet
Step-by-step explanation:
Answer:
245 square feet.
Step-by-step explanation:
7 times 7 is 49
49 times 5 because there is 5 feet
= 245
Terry walks 1/4 mile each morning
and 2/4 mile each afternoon. How far does Terry walk in 3 days? Draw bar diagrams and write equations to solve
the problem
Answers
Answer:
1 1/2
Step-by-step explanation:
To solve this problem, we need to find how many miles Terry walks in one day. Then, we can multiply by 3 to find how far she walks in three days.
One day |
We need to add how much she walks in both the morning and afternoon. 1/4 + 2/4 = 3/4 miles.
Three days |
Now that we know how much Terry walks in one day, we need to find how much she walks in three days. Multiple by 3 to solve this.
3/4 * 3 = 6/4 = 3/2
You can write 3/2 as an improper fraction: 1 1/2.
---------------------------
I hope this was helpful! Have a good day!
find the volume of a cylinder whose circumference is 110 cm and height is 20 CM
Answers
Answer:
Volume is 19277.46 cm
Step-by-step explanation:
Data :
Circumference = C = 110 cm
Height = h = 20 cm
As circumference is
C = 2πr ⇒ r = C/2π = 110/2π =
r = 17.516 cm
Formula for volume of cylinder is
V = πr²h = π × 17.516 × 20
V = 19277.46
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