Answer:
a. tan
3 T-shirts
b. 7 - 3 = 4 T-shirts
QUESTION 1 Which one of the following is an ordered pair? O {-3,5} O (2, 4,0) 0 (0, 6) 0 1,3
Find the inverse of the matrix using elementary row operations on the augmented matrix
(Answers are on picture)
The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex].
How to determine the inverse matrix
A matrix A has an inverse matrix if and only if its determinant is different than 0. Given that we have a matrix formed by 2 rows and 2 columns, we can obtain the following inverse matrix by using the following formula:
[tex]\vec A ^{-1} = \frac{1}{\det (\vec A)} \cdot adj (\vec A)[/tex] (1)
Where [tex]adj (\vec A)[/tex] is the adjoint of the matrix, which is the transposed of the cofactor matrix.
If we know that [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex], then the inverse of the matrix is determined below:
[tex]\det (\vec A) = -2[/tex]
[tex]adj (\vec A) = \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]
[tex]\vec A^{-1} = -\frac{1}{2}\cdot \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]
[tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]
The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]. [tex]\blacksquare[/tex]
To learn more on matrices, we kindly invite to check this verified question: https://brainly.com/question/11367104
(QUICK!)Please answer this question, explain and show your work for brainliest! (systems of equations, either using elimination or substitution method!)
Answer:
Step-by-step explanation:
y = - 7x ......... (1)
- 14x - 2y = 0 ....... (2)
- 14x - 2y = 0 ⇒ y = - 7x
(1) and (2) are equivalent ⇒ system has infinitely many solutions
a pentagon is shown what is the area, in square inches of the pentagon
=========================================================
Explanation:
Along the top row, label the two triangles A and B.
In the bottom row, label the figures as C, D, E. We have C and E as the two surrounding triangles and D as the rectangle.
To find the area of triangle A, we need to find the horizontal side first. Use the pythagorean theorem to get 3 inches across the horizontal portion. We have a 3-4-5 right triangle. The area of triangle A is base*height/2 = 3*4/2 = 6 square inches. Triangle B is a reflected copy of triangle A, so it has the same area.
Triangle C has an area of base*height/2 = 1*5/2 = 2.5 square inches, so does triangle E because it is a mirrored congruent copy.
The rectangle D has an area of base*height = 4*5 = 20 square inches.
-----------------------
We have these areas:
Triangle A = 6 square inchesTriangle B = 6 square inchesTriangle C = 2.5 square inchesRectangle D = 20 square inchesTriangle E = 2.5 square inchesTo wrap things up, add up those areas
A+B+C+D+E = 6+6+2.5+20+2.5 = 37 square inches
Solve for the value of m. M+4 7/8 =9
Answer:
M=33/8
Step-by-step explanation:
Answer:
M+4 7/8 =9
Step-by-step explanation:
The cost of a cab trip, y, is given by the table, where x is the number of miles traveled. Which THREE statements are
correct?
A)
The rate of change is $0.75.
B)
A ten mile trip would cost $12.00.
The initial passenger fee is $2.00.
D)
A twenty mile trip would cost $17.00.
E
The cost of a cab trip can be modeled by the function y = 1x + 2.
The three statements that describe this function are the rate of change is $0.75, the initial fee is $2, and a twenty-mile trip is $17.
What is a function?A function shows the mathematical relation between two factors. In this case, the factors are miles and cost.
What is true about this function:The rate of change is $0.75: The difference in the cost between one mile and the next one is always $0.75. For example, a 4-mile trip is $5 and a 3-mile trip is $4.25 (5-4.25= 0.75).The initial fee is $2: When the value of the miles is 0 the cost is $2, which shows this is the initial basic fee.A twenty-mile trip is $17: The function follows the pattern 2 + x (0.75); this means 2 + (20 x 0.75) = 2 + 15 = $17.Note: This question is incomplete because the image is missing. Here is the image:
Learn morea bout mathematical function in: https://brainly.com/question/18430152
The height of 14-year-old boys in the United States is normally distributed with a mean of 64.5 in, and a standard deviation of 3.1 in.
Label the normal curve by entering the value at each standard deviation in the box.
Answer:
61.4-67.6 - 68.37% likely to fall within this range.
58.3-70.7 - 95.45% likely to fall within this range.
55.2-73.8 - 99.73% likely to fall within this range.
Step-by-step explanation:
solve for the missing side
please be quick
Answer:
x=5
Step-by-step explanation:
12^2+x^2=13^2
144+x^2=169
x^2=169-144
x^2=25
x=5
Answer:
5in
Step-by-step explanation:
Sides known=12,13
According to Pythagoras theorem
H²=P²+B²
(13)²=(12)²+(x)²
169=144+x²
169-144=x²
25=x²
x=√25
x=5in
PLS MARK IT AS BRAINLIEST
3 Evaluate( 2+i) squarerooted power 8
Answer:
[tex](i+2)^4[/tex]
Step-by-step explanation:
assuming the equation is [tex](\sqrt{2+i})^8[/tex] this simplifies to [tex](i+2)^4[/tex] where i =[tex]\sqrt{-1}[/tex]
Step-by-step explanation:
[tex]( \sqrt{2 + i} ) {}^{8} = (2 + i) {}^{ \frac{1}{2} \times8 } [/tex]
[tex](2 + i) {}^{4} [/tex]
Split this up
[tex](2 + i) {}^{2} \times (2 + i) {}^{2} [/tex]
Use the Perfect Square Trinomial
[tex](a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
[tex](2 { }^{2} + 2(2)i + {i}^{2} )(2 {}^{2} + 2(2)i + {i}^{2} [/tex]
[tex] {i}^{2} = - 1[/tex]
so
[tex](3 + 4i)(3 + 4i)[/tex]
[tex]9 + 24i - 16[/tex]
[tex] - 7 + 24i[/tex]
HELPPPP ME PLEASE 50 POINTS PLUS brainly
Answer:
input: 1 2 6 18
output: 5 10 30 90
Step-by-step explanation:
Find the surface area of the rectangular prism (above) using its net (below).
Answer:
68
Step-by-step explanation:21+6+6+14+21=68
Answer:
82
Step-by-step explanation:
Calculate the area of each part and sum them up
S= 7x3+7x2+7x3+2x3+2x3+7x2
42+28+12
=82
hope this helps!
Brainliest?
Find the value of x.
[tex]~~~~~~x + 42^{\circ} + 97^{\circ} =180^{\circ}\\ \\\implies x = 180^{\circ} - 42^{\circ} - 97^{\circ}\\\\\implies x = 41^{\circ}[/tex]
Step-by-step explanation:
or , x + 97° + 42° = 180° ( the sum of interior
angle of triangle is 180° )
or , x + 139° = 180°
or , x = 180° - 139°
x = 41°
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. y = x squared + 2 x + 10 a. (1, 9) c. (1, 10) b. (-1, 10) d. (-1, 9)
Step-by-step explanation:
Answer: its d
Step-by-step explanation:
What's more 10/4 miles or 5/2 miles
Answer:
They are equal
Make them into mixed numbers
10/4 = 2 2/4 you can put this into its simplest form so 2 1/2
5/2 = 2 1/2
Helpppppppppppppppp
find x
Answer:
Answer is √2+11/2
And you can use calculator to get even more accurate answer though...
Step-by-step explanation:
this is what i get i hope this will hepl you ♡
PLS HELP FAST!!! NO LINKS
Answer:
Im 98% sure its the first one
Step-by-step explanation:
f(X)= _3 x²_7x_9
f(_5) +f(2)=
Answer:
Step-by-step explanation:
[tex]-3x^2-7x-9=F(x)[/tex]
[tex]F(-5)=-75+40-9=-49[/tex]
[tex]F(2)=-12-14-9=-35[/tex]
[tex]f(-5)+f(2)=-49-35=-84[/tex]
A mitochondrion has a diameter of about 0.00000031 meter. The diameter of a chloroplast is about 3 times that of the mitochondrion. What is the approximate diameter of the chloroplast?
the diameter of the mitochondrion= 0.00000031 meter.
to find:the diameter of the chloroplast.
solution:3×mito= chloroplast
3 × 0.00000031
=0.00000091
= chloroplast
= 9.1 × 10^-7m
the imprecise diameter of the chloroplast is 9.1 × 10^-7m.
Four grade levels need equal time for indoor recess and the gym is available for three hours . How many hours of recess will each grade level receive
An angle measures 26.8° less than the measure of its complementary angle. What is the measure of each angle?
Given :
An angle which measures 26.8° less than the measure of its complementary angle.⠀
To Find :
The measure of each angle.⠀
Solution :
Let's assume the one of the complementary angle as "x" and the other angle as (x – 26.8)° .⠀
Now,
⠀
According to the Question :
⠀
[tex]{\longrightarrow \qquad \sf{ x + {(x - 26.8)}^{ \circ} = {90}^{ \circ} }}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ x + {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ 2 {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ 2 x = {90}^{ \circ} + 26.8^{ \circ}}}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ 2 x = 116.8^{ \circ}}}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ x = \dfrac{116.8^{ \circ}}{2}}}[/tex]
⠀
[tex]{\longrightarrow \qquad \frak{\pmb{ x =58.4^{ \circ}}}}[/tex]
⠀
Therefore,
One angle = 58.4°Other angle = 58.4° – 26.8° = 31.6°⠀
Hence,
The measure of the each angles are 58.4° and 31.6° .Answer:
The measurement of each angle is 58.4° and 31.6°
Step-by-step explanation:
Given :-
Value of an angle is 26.8° less than its complementary angleTo Find :-
Measurement of each angleSolution:-
let one angle be x and other be x - 26.8°
we know that, Sum of complementary angle is 90°
X + X - 26.8° = 90°
2x = 90° + 26.8°
x = 58.4
So , one angle is 58.4° and other one is 58.4 - 26.8 which is 31.6
the length of a rectangle is 10 cm and its width is 2 cm less than 1/2 of its length. find the area of the rectangle
Answer:
A=wl=3·10=30
A=30
Step-by-step explanation:
No spammers pls and also giving brainliest to correct answer
Answer:
C. (5 , 6)
Step-by-step explanation:
a dilation of center O(0,0) and 3 as a scale factor :
Transform point (x , y) to point (3x , 3y)
Then it transforms R(1 , 2) to R’(3 , 6)
Now ,we translate R’(3 , 6) by the translation (x , y) ——-> (x+2 , y)
So , R’(3 , 6) ————> R’’(3+2 , 6)
what digit is in the ten thousand place in 796,142 what is the answer
Answer:
9
Step-by-step explanation:
So,
2 is in the units,
4 is in the tens,
1 is in the hundreds,
6 is in the thousands,
9 is in the ten thousands, and
7 is in the hundred thousands.
I hope this is helpful xx
Answer:
9 is in the ten thousands place.
Simplify 13 < z +5
Solve the inequality for z
First of all, subtract 5 from both sides:-
13-5<z+5-5
13-5<z
8<z
Since 8 is less than z, z is greater than 8:-
[tex]\bigstar{\boxed{\pmb{z > 8}}[/tex]
Hence, all the numbers greater than 8 will make this inequality true.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Answer:
Let's solve your inequality step-by-step.
13<z+5
Step 1: Flip the equation.
z+5>13
Step 2: Subtract 5 from both sides.
z+5−5>13−5
z>8
Answer:
z>8
Step-by-step explanation:
Which of the following is in standard form of quadratic?
Answer:
I think C and D options can be correct
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Answer:
I think C and D options can be correct
Step-by-step explanation:
A club elects a president, vice president and secretary treasurer. How many sets of officers are possible if there are 8 members and any member can be elected to each position? No person can hold more than one office.
Ahhh yes, the time-honored permutations.
The permutation format, to start with, is P(n, r).
The formula is:
[tex]\frac{n!}{(n-r)!}[/tex]In this instance, we have P(8, 3).
8 will go in for n and 3 for r. So now let's solve.
[tex]\frac{8!}{(8 - 3)!}[/tex] → [tex]\frac{8!}{5!}[/tex] → [tex]\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}[/tex] → [tex]8*7*6[/tex] → [tex]336[/tex]
Therefore 336 is our answer. I hope this answers your question.
-Toremi
Write the number in scientific notation. 0.0805
a)8.05 × 10
b)0.805 × 10–1
c)80.5 × 100–3
d)8.05 × 10–2
Toni is 30 inches less than twice Jordan's height. Toni is 66 inches tall. How tall is Jordan?
Answer:
96 inches
Step-by-step explanation:
66 + 30 = 96
can somebody explain this to
Check the picture below.
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(x_2)-f(x_1)}{2-0}\implies \cfrac{0~~ - ~~1}{2}\implies -\cfrac{1}{2}[/tex]
PLEASE HELP
The pictures to the right show how much sausage and pepperoni pizza was left at the end of one day. Which fraction represents how much more sausage pizza then pepperoni pizza was left?
Answer:
3/8
Step-by-step explanation:
There was 4/8 (or 1/2) of the pepperoni pizza left, and there was 7/8 of the sausage pizza left. To find out how much more sausage pizza was left than pepperoni pizza, you have to subtract the amount of pepperoni pizza remaining from the amount of sausage pizza remaining.
sausage pizza left - pepperoni pizza left = how much more sausage pizza than pepperoni pizza is left
Now, let's fill in the numbers.
7/8 - 4/8 = ?
7/8 - 4/8 = 3/8
Therefore, there was 3/8 more sausage pizza than pepperoni pizza left.
I hope this helps! Have a lovely day!! :)
Answer:
3/8
Step-by-step explanation:
So there is 7/8 sausage left and 4/8 pep left. The difference between the two is three slices (7/8 - 4/8) which is 3/8th of the whole pizza. This means that 3/8 represents the amount of pizza sausage has that pepperoni doesnt