Answers
Answer: [tex]A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right][/tex]
[tex]\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right][/tex]
[tex]Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right][/tex]
[tex]Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]
Related Questions
explain briefly what you understand by each of the following techniques of investment appraisal.
1. profitability index
Answers
Answer:
Is Calculated by dividing the present value of future cash flows that will be generated by the project by the project
Step-by-step explanation:
BRAINILIEST PLEASEEEEEE
Find the unknown length y in the pair of similar triangles.
Answers
Step-by-step explanation:
If 2 triangles are similar then the ratio of any 2 sides of one triangles will be equal to the ratio of any 2 sides of the another triangle.
So,
[tex] \frac{30}{8} = \frac{20}{y} [/tex]
Cross-multiplying the denominators gives,
[tex]30y = 160[/tex]
[tex] = > y = \frac{160}{30} = \frac{16}{3} [/tex]
1.) (-18, -20) (18, 16)
2.) (-7, 14) (-11, 4)
3.) (-5, -4) (3, 9)
4.) (13, -8) (-9, -1)
Answers
1.) (-18, -20) (18, 16)
m= 1
2.) (-7, 14) (-11, 4)
m= 5/2
3.) (-5, -4) (3, 9)
m= 13/8
4.) (13, -8) (-9, -1)
m= -7/22
I need help please
Answers
Answer:
Equal 15
Step-by-step explanation:
2+588(357)
4-136
¿Cuántas libras de café “La Finca” que se vende a $5 la libra debe mezclarse con 80 libras decafé común que se vende a $2 la libra, para hacer una mezcla que se venda a $3 la libra?
Answers
Answer:
Necesitamos agregar 40 libras del café La Finca
Step-by-step explanation:
Sea x el número de libras de café de La Finca a mezclar.
Entonces, la cantidad total de libras que obtendremos en la mezcla será (x + 80) libras.
Ahora trabajemos con los precios; Tenemos x libras de La Finca a $ 5 por libra, con 80 libras de café a $ 2 por libra para dar una mezcla de (x + 80) a $ 3 Así, sumaremos el precio de La Finca más la otra variante para llegar al costo de la nueva mezcla.
Matemáticamente;
5 (x) + 2 (80) = 3 (x + 80)
5x + 160 = 3x + 240
5x -3x = 240-160
2x = 80
x = 80/2 x = 40
Estimate the difference.
858.9 - 172
Use rounding to estimate the difference.
Answers
Answer:
can u answer my question plz
Step-by-step explanation: A kitchen wall tile is shaped like a parallelogram. The base of the tile is two times the height of the tile. The height of the tile is 2 in. The length of the other side of the tile is 3 in. What is the area of the tile?
Which ratio is greater than 5/8 ? A. 12/24 B. 3/4 C. 15/24 D. 4/12
Answers
B is the 3/4 = .75 and 5/8 = .625
. Which table does NOT show y as a function of x?
I 름
4
1
A.
7
Х
10
14
9
9
11
y
18
17
15
16
110
90
B.
14
х
100
80
100
y
-0.2
1.0
-0.9
8.1
-1.3
4.4
C.
0.6
-3.7
Х
-0.2
5.8
y
29
24
21
-27
2.5
2.5
D.
- 24
Х
2.7
2.8
2.7
Y У
o
Answers
Calculate the average speed between 0 s and 20 s
Answers
Answer:
2 m/s
Step-by-step explanation:
Notice that the slope of the time period from 0s to 20s is linear. This means we can simply look at the distance traveled over the amount of time. So the distance and time both start at 0. At 20s, the distance is 40m.
So we can say the following to find the slope:
(40m - 0m) / (20s - 0s) == 40m / 20s == 2 m/s
Hence, the average speed between 0s and 20s is 2m/s.
Cheers
A middle school has 2 girls for every 1 boy in seventh grade. The seventh-grade class
has 28 fewer students than the eighth-grade class, which has 298 students. How many
girls are in seventh grade?
Answers
Answer:
180 girls
Step-by-step explanation:
298-28=270
270 divided by 3 = 90
90+90 = 180
so there are 180 girls and only 90 boys
Katy is deciding which charity to donate to. She is going to donate fifty dollars to each charity chosen, and she can donate to a women's shelter (abbreviated B), a charity for rescue animals (abbreviated R), and a children's foundation (C). The dots in the Venn diagram below show the combinations that she can donate to. Let X be the event of donating fifty dollars each to two charities for a total of one hundred dollars. Let Y be the event of donating to the charity for rescue animals. Move the dots on the Venn diagram to place the dots in the correct event, X, Y,or X AND Y. Note that you might not use all of the dots.
Answers
Answer:
Step-by-step explanation:
box contains five while balls, four red balls and three blue balls. Suppose that three balls are randomly selected. a. What is the probability that exactly two of the balls are white ? b. What is the probability that one ball of each color is selected ? c. What is the probability that all three of the selected balls have the same color ?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Number of white balls = 5
Number of red balls = 4
Number if blue balls = 3
Probability = required outcome / Total possible outcomes
Total possible outcomes (Total number of balls) = 5 + 4 + 3 = 12
a. What is the probability that exactly two of the balls are white?
(White, white, not white) or (not white, white, white) or (white, not white, white)
Assume balls were picked without replacement ;
P(white, white, not white) = (5/12 × 4/11 × 7/10) = 0.1060606
P(not white, white, white) = (7/12 × 5/11 × 4/10) = 0.1060606
P(white, not white, white) = (5/12 × 7/11 × 4/10) = 0.1060606
P(exactly 2 white balls) = 3×(0.1060606) = 0.3181818
b. What is the probability that one ball of each color is selected ?
(White, red, blue) or (red, white, blue) or (red, blue, white) or (blue, red, white), (white, blue, red), (blue, white, red)
P(white, red, blue) = (5/12 * 4/11 * 3/10) = 0.0454545
(0.0454545 × 3) = 0.272727
c. What is the probability that all three of the selected balls have the same color ?
P(white, white, white) or P(blue, blue, blue) or P(red, red, red)
P(white, white, white) = (5/12 * 4/11 * 3/10) = 0.0454545
P(blue, blue, blue) = (3/12 * 2/11 * 1/10) = 0.0045454
P(red, red, red) = (4/12 * 3/11 * 2/10) = 0.0181818
(0.0454545 + 0.0045454 + 0.0181818) = 0.0681817
A negative number divided by a negative number will result in a _ Quotient
Answers
Answer:
Positive
Step-by-step explanation:
Two negatives make a positive.
Find the slope of the line tangent to the graph of (x^2)-((xy)^(1/2))=(2y^2)+3x at the point (4,1).
Answers
Compute [tex]\frac{\mathrm dy}{\mathrm dx}[/tex] using implicit differentiation:
[tex]x^2-(xy)^{1/2}=2y^2+3x[/tex]
[tex]\dfrac{\mathrm d(x^2)}{\mathrm dx}-\dfrac{\mathrm d(xy)^{1/2}}{\mathrm dx}=\dfrac{\mathrm d(2y^2)}{\mathrm dx}+\dfrac{\mathrm d(3x)}{\mathrm dx}[/tex]
[tex]2x-\dfrac1{2(xy)^{1/2}}\left(\dfrac{\mathrm dx}{\mathrm dx}y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]
[tex]2x-\dfrac1{2(xy)^{1/2}}\left(y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]
[tex]2x-\dfrac12\left(\dfrac yx\right)^{1/2}-\dfrac12\left(\dfrac xy\right)^{1/2}\dfrac{\mathrm dy}{\mathrm dx}=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]
[tex]2x-3-\dfrac12\left(\dfrac yx\right)^{1/2}=\left(4y+\dfrac12\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]
[tex]4x-6-\left(\dfrac yx\right)^{1/2}=\left(8y+\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x-6-\left(\frac yx\right)^{1/2}}{8y+\left(\frac xy\right)^{1/2}}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x(xy)^{1/2}-6(xy)^{1/2}-y}{8y(xy)^{1/2}+x}[/tex]
Plug in x = 4 and y = 1 to find that the tangent line's slope is 19/20.
What is the value of each marble?
Answers
Answer:
where
is
the
attachment
bruv?
Answer:
We wouldn't know because we have no information on the marbles.
Step-by-step explanation:
13times the difference of a number n and 20 is 322. Write as an equation.
Answers
Answer:
13(n-20)=322
Step-by-step explanation:
13 times n-20 equals 322
4x - 7 (2 - x) = 3x + 2
Answers
Answer:
x=2
Step-by-step explanation:
4x−7(2−x)=3x+2
4x+(−7)(2)+(−7)(−x)=3x+2(Distribute)
4x+−14+7x=3x+2
(4x+7x)+(−14)=3x+2(Combine Like Terms)
11x+−14=3x+2
11x−14=3x+2
Step 2: Subtract 3x from both sides.
11x−14−3x=3x+2−3x
8x−14=2
Step 3: Add 14 to both sides.
8x−14+14=2+14
8x=16
Step 4: Divide both sides by 8.
x=2
Which pound bag is the lowest price per pound of dog food?
They are all the same cost per pound.
30
8
22
Answers
Write an expression that is equivalent to 5(x + 2) - 7(x + 2)?
Answers
Answer:
-2x-4
Step-by-step explanation:
Just simplify
-2+10-14
-2x-4
What is the horizontal distance between the two points (-7,-4) and (12,-4)? Remember that distance is always positive! Hint: The horizontal distance is represented by the 1st number in each coordinate. What is the difference between -7 and 12?
Answers
==================================================
Explanation:
Draw out a number line. Plot -7 and 12 on the number line. Draw in the tickmarks between them. You should find the distance from -7 to 12 is 19 units since you need to go 19 spaces from either -7 to 12, or vice versa.
You can use subtraction to get
-7-12 = -19
or
12-(-7) = 12+7 = 19
The final result is made positive since negative distance does not make sense.
So you'd have |-7-12| = |-19| = 19 or |12-(-7)| = |19| = 19.
All of this only works because the two y coordinates are the same, which makes a horizontal line through the two given points.
I really need help with this question
Answers
Answer:
The answer is 235.6
Step-by-step explanation:
You plug in the numbers to the equation.
work out the difference in minutes between 1 hour 25 minutes and 1 1/4 hours step by step please :)
Answers
[tex]\huge\boxed{\boxed{\bold{10\ \bftext{minutes}}}}[/tex]
[tex]\hrulefill[/tex]
First, let's change both of these times into just minutes. (We know that one hour is sixty minutes.)
[tex]\text{First time: } 1*60+25=60+25=85[/tex]
[tex]\text{Second time: } 1*60+\frac{1}{4}*60=60+15=75[/tex]
Now, just subtract:
[tex]85-75=\large\boxed{10}[/tex]
0.0605 in standard form?
Answers
Step-by-step explanation:
Actually 0.0605 is already in standard form and it can be expressed in scientific notations as given below.
[tex] \huge0.0605 = 6.05 \times {10}^{ - 2} \\ [/tex]
As a cube what is -1/64 ________ to the power of ^3
Answers
Answer:
(-1/64)= (-1/4)^3
Explanation:
[tex]\sqrt[3]{-\frac{1}{64} }=-\frac{1}{4}[/tex]
[tex](-\frac{1}{4})^3=-\frac{1}{64}[/tex]
X- 3 = 9 workings pls
Answers
Which of the following inequalities is graphed on the coordinate plane?
Answers
Answer: A
Step-by-step explanation:
This picture is very blurry, but the line appears to be a solid line. Since it is a solid line, it tells us that the inequality is ≤ or ≥. We can eliminate C and D. Now, the difference between A and B is the shading. Since the shading is showing that the numbers are increasing, we know that the inequality is ≥. Therefore, A is the correct answer.
A jug contains 20 3/8 cups of lemonade. If you are serving guests at a summer picnic, how many glasses can you fill if each guest gets 1 1/2 cups of lemonade?
Answers
Answer:
13 glasses
Step-by-step explanation:
Given:
Amount of of lemonade available = 20⅜ cups
Amount of lemonade per guest = 1½ cups
Required:
Number of glasses to be filled
SOLUTION:
Number of glass to be filled = amount of lemonade available ÷ amount of lemonade per guest
= 20⅜ ÷ 1½
Change both mixed fractions to improper fractions
= [tex] \frac{163}{8} [/tex] ÷ [tex] \frac{3}{2} [/tex]
Flip the fraction on your right upside down and change the division to multiplication
[tex] = \frac{163}{8} * \frac{2}{3} [/tex]
[tex] = \frac{163*2}{8*3} [/tex]
[tex] = \frac{163*1}{4*3} [/tex]
[tex] = \frac{163}{12} = 13.58 [/tex]
Number of glasses that would be filled is roughly 13 glasses.
Question 7
2 pts
If you bought something in Wyoming for $54, you would be charged $3.56 in state sales tax. What is the
state sales tax rate in Wyoming?
Insert your answer as a percentage to the tenth WITHOUT the % symbol.
Question 8
2 pts
Answers
Answer:
6.6
Step-by-step explanation:
The way to do this is to find the tax as a decimal. Worry about the 100 later.
54 * x = 3.56
Divide by 54
x = 3.56/54
x = .06593
Now use the 100
0.06592 * 100 = 6.593
But you want it rounded to the 1/10
So you should get 6.6 %
Mickey used these calculations to find how much he would spend on 7 cartons of eggs, if 12 cartons of eggs cost $22.20. Describe his error.
12 cartons(÷22.20)
$22.22(÷22.20)
Unit price = $0.54
$0.54(7) = $3.78
Answer ; Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Answers
Answer: you would divide the total price of $22.20 by the amount of cartons, which is 12, giving you the unit rate of $1.85 per carton. the unit rate, $1.85 multiplied by 7 is $12.95, so it would cost $12.95 for 7 cartons of eggs
Step-by-step explanation:
Answer:
Step-by-step explanation:
the person up is right
Subtract. −3 2/7 − (−5/7)
Enter your answer in the box as mixed number in simplest form.
___
Answers
Answer:
-2 4/7
Step-by-step explanation:
−3 2/7 − (−5/7)
Subtracting a negative is like adding
−3 2/7 + (5/7)
Since the signs are difference we subtract and take the sign of the larger number
3 2/7 - 5/7
Borrow from the whole number
2+ 7/7 + 2/7 - 5/7
2 9/7 - 5/7
2 4/7
The sign of the larger number is negative so add the negative sign
- 2 4/7
Answer:
- 2 4/7
Step-by-step explanation:
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