The question is incomplete. Here is the complete question
Matrices C and D are shown below:
[tex]C=\left[\begin{array}{ccc}2&1&0\\0&3&4\\0&2&1\end{array}\right][/tex] [tex]D=\left[\begin{array}{ccc}a&b&-0.4\\0&-0.2&0.8\\0&0.4&-0.6\end{array}\right][/tex]
What values of a and b will make the equation CD = I true?
(i) a = 0.5
b = 0.1
(ii) a = 0.1
b = 0.5
(iii) a = -0.5
b = -0.1
Answer: (i) a = 0.5
b = 0.1
Step-by-step explanation: Identity Matrix (I) is a n x n square matrix with the number 1 on the main diagonal and 0 everywhere else.
The question asks for multiplication of matrices, i.e.:
[tex]\left[\begin{array}{ccc}2&1&0\\0&3&4\\0&2&1\end{array}\right][/tex] . [tex]\left[\begin{array}{ccc}a&b&-0.4\\0&-0.2&0.8\\0&0.4&-0.6\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]
To multiply matrices, the number of columns of the 1st matrix must be the same as the number of rows of the 2nd.
Matrix C is a 3x3 square matrix and so is matrix D, so, values of a and b:
[tex]2a=1[/tex] [tex]2b-0.2=0[/tex]
[tex]a=\frac{1}{2}[/tex] [tex]2b=0.2[/tex]
a = 0.5 [tex]b=0.1[/tex]
For the equation CD=I be true, a and b has to be 0.5 and 0.1, respectively.
We can describe 12x – 8 as an expression.
It can also be written as 4(3x - 2)
4 and 3x - 2 are both
of 12x - 8
Answer:4 and 3x-2 are roots of 12x-8.
Step-by-step explanation: Expression contains no equality sign
A set of middle school student heights are normally distributed with a mean of 150150150 centimeters and a standard deviation of 202020 centimeters. Let XXX represent the height of a randomly selected student from this set. Find P(X<115)P(X<115)P, left parenthesis, X, is less than, 115, right parenthesis.
Answer:
0.04
Step-by-step explanation:
Given that :
Mean(m) = 150
Standard deviation (s) = 20
Find P(X<115)
Obtain the Zscore :
(x - m) / s
(115 - 150) / 20
P(X<115) = - 1.75
Using the Z probability calculator :
P(Z < - 1.75) = 0.040059
P(Z < - 1.75) = 0.04
Find the product. Enter the answer in simplest form.
Answer:
5/2 or 2.5/2 and a half
Step-by-step explanation:
Turn 5 into a fraction :
5 = 5/1
Now you can multiply the two fractions together by multiplying the numerators together and multiplying the denominators together :
1/2 x 5/1 = 5/2 or 2.5/2 and a half
hope this helps :)
please help me !:( it’s due at 8:30
Answer:
y=-4x+5
Step-by-step explanation:
Let us first find the slope.
Given the points, (0,5) and (1,1) The slope of the line is (5-1)/(0-1)=
4/-1=
-4
The line also intercects the y axis at (0,5) Therefore, the b intercept would be 5
The final equation would be,
y=-4x+5
I hope this helps! :)
Answer:
y = -4x + 5
hope this helps !! have a fantastic day :))
Michael is buying new shirts and pants for school. He bought shirts for $38 each and pants for $38 each. He purchased nine items and spent a total of $222. How many shirts did he buy?
Answer:
No possible solution
Step-by-step explanation:
Let:
Shirt = x
Pant = y
x + y = 9 - - - - - - - - - (1)
38x + 38y = 222 - - - (2)
From (1):
y = 9 - x
Put y = 9 - x in (2)
38x + 38(9 - x) = 222
38x + 342 - 38x = 222
Based on the Given parameters, we can conclude that the equation does not have a possible solution.
Paige was planting a garden. She planted 1/3 of her garden with roses, 3/6 of her garden with daisies and the rest of the garden with tulips. What fraction of the garden was tulips?
Answer:
1/6
Step-by-step explanation:
Let the total number of flowers planted be 1
Given
Number of roses = 1/3
Fraction of daises = 3/6
Required
Fraction of tullips
Fraction of tullips = 1-(1/3+3/6)
Fraction of tullips = 1-(2+3/6)
Fraction of tullips = 1-5/6
Fraction of tullips = 1/6
Hence the fraction of tulip left is 1/6
what is the slope of the line that passes through the pair of points (5,-2) (0,-1)
Answer:
-(1/5)
Step-by-step explanation:
The slope is the Rise/Run between the two points (5,-2) and (0,-1):
Rise = -1 - (-2) = 1
Run = 0 - 5 = -5
Slope = Rise/Run = 1/-5 or -(1/5)
Point (0,-1) tells us that the y-intercept, b, is -1, so the full equation is:
y = -(1/5)x - 1
Find which ones are equivalent to 6/12 fractions.
Answer:
0.5 or 5/10
Step-by-step explanation:
Answer:
Equivalent Fractions for 6/12: There are infinity equivalent fractions to 612. See some examples: 12, 24, 36, 48, 510, 612, 714, 816, 918, 1020, 1122, 1224, 1326, 1428, 1530, 1632, 1734, 1836, 1938, 2040...
Step-by-step explanation:
i hope it's help you
Solve for x in terms of a and b: 2x + a = b
Answer:
x=a+b/2
Step-by-step explanation:
1. adding a to both sides
2. dividing both sides by 2
2x-a=b
2x=a+b
x=a+b/2
(not sure if correct but hope it helps!)
5.
The model represents the equation 3x - 2<4.
11:00 - 0000
What is the solution for this inequality?
Oxx-2
0x<-3
0x<6
0x<2
Copyright 2020
O
O
Answer:
Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]
Option D is correct option.
Step-by-step explanation:
We need to solve the inequality [tex]3x -2 < 4[/tex] and find value of x
Solving the inequality for finding value of x, we will keep x on left side of inequality and all other terms on the right side.
[tex]3x -2 < 4[/tex]
Adding 2 on both sides
[tex]3x -2+2 < 4+2\\3x < 6[/tex]
Now, we will divide 3 on both sides
[tex]\frac{3x}{3}<\frac{6}{3}\\x<2[/tex]
So, we get x < 2
Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]
Option D is correct option.
HELP HELP PLEASE ASAP
Given m ll n,
find the value of x and y.
Can someone answer this today please
Answer:
x = 15, y = 50Step-by-step explanation:
m and n are parallel and cut by a transversal
Finding x
8x + 12 + 2x + 18 = 180 (consecutive interior angles sum up to 180°)10x + 30 = 18010x = 150x = 15Finding y
8x + 12 = 3y - 18 (vertical angles are equal)8(15) + 12 = 3y - 18132 = 3y - 18150 = 3yy = 50Help me please Im the big not smart
Answer:
Step-by-step explanation:
Predict what the products would be in the following double displacement reaction:
KBr + AgNO3---->____ + ____
KBr + AgNO3 --------> KNO3 + AgBr
It is Double displacement reactions ( means ions exchange take place)When potassium bromide react with silver nitrate then,products came out are potassium nitrate and silver bromide.multiply 2 x (-21) x 7
Find the measure of QA
Answer:
28
Step-by-step explanation:
3x+16=7x because they are the same length.
4x=16
x=4
Place x in 3x+16
12+16
28
Andre’s math teacher has 24 kids in the class. How many different ways can he arrange groups for an activity?
Answer:
divide by 5
Step-by-step explanation:
list the factors of 5 to get 24 like 5x4=24
The graph shows the relationship between the number of pounds of pears purchased and the total cost of pears.
Answer: $1.75
Step-by-step explanation:
Solve for n:
n/3 + 10 = 16
Step-by-step explanation:
n/3+10=16
n/3=16-10
n/3=6
n=6/3
n=2
-8 = -19 + C
plz answer this
Answer:
c = 11
Step-by-step explanation:
-8 = -19 + 11
Write the equation of the line that passes through the points (-6, -9) and (7, 7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
[tex]\displaystyle y + 9 = \frac{16}{13} ( x + 6 )[/tex]
Step-by-step explanation:
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
Given a line passes through points A(x1,y1) and B(x2,y2), the slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (-6,-9) and (7,7), thus the slope is:
[tex]\displaystyle m=\frac{7+9}{7+6}=\frac{16}{13}[/tex]
Now we apply the point-slope formula using the point (-6,-9):
[tex]\mathbf{\displaystyle y + 9 = \frac{16}{13} ( x + 6 )}[/tex]
This equation is expressed in the required format
The equation of the line passing through the given points is required.
The equation of the line is [tex]y=\dfrac{16}{13}x-\dfrac{21}{13}[/tex]
The points are [tex](-6,-9)[/tex] and [tex](7,7)[/tex]
The equation is
[tex]y-y_1=\dfrac{\Delta y}{\Delta x}(x-x_1)\\\Rightarrow y+9=\dfrac{7+9}{7+6}(x+6)\\\Rightarrow y+9=\dfrac{16}{13}x+\dfrac{96}{13}\\\Rightarrow y=\dfrac{16}{13}x-\dfrac{21}{13}[/tex]
The equation of the line is [tex]y=\dfrac{16}{13}x-\dfrac{21}{13}[/tex]
Learn more:
https://brainly.com/question/1581995?referrer=searchResults
Bananas cost $0.75 per pound. Use an equation to determine the cost of 9 pounds. a) $9.75 b) $16.50 c) $6.75 d) $7.50
Answer: C) $6.75
Step-by-step explanation:
Each banana is $0.75 per pound and there’s 9 pounds. 0.75 times 9 is 6.75.
Tony operates a skate rental company. He charges an equipment fee of $3 plus $6 per hour. Which equation represents this linear relationship? A. y= 6x+3 B. y= 3x + 6 C. y= -6x + 3 D. y= 3x - 3
Answer: A) y = 6x +3
Step-by-step explanation:
Let x represent the number of hours. $6 per hour can now be written as 6x.
Now, we must account for the $3 flat, fee and add it to 6x, getting 6x + 3
Alexander is a stockbroker. He ears 13% commission each week. Last week, he
sold $7,100 worth of stocks How much did he make last week in commission? If he averages that
same amount each week, how much did he make in commission in 2011?
Answer:
In one year, he would make 47,996
Step-by-step explanation:
7100 x .13 = 923
In a year, there is 52 weeks
923 x 52 = 47,996
Consider angle θ in Quadrant ll, where cos θ= -12/13. what's the value of sin θ
Answer:
sinθ = 5/13
Step-by-step explanation:
cosθ = adjacent/hypotenuse (or you could think of it as x/r)
cosθ = -12/13
adjacent = -12
hypotenuse = 13
opposite = ?
To get the opposite, we use the Pythagorean theorem
[tex]hypotenuse^{2} = adjacent^{2} + opposite^2[/tex]
[tex]hypotenuse^{2} - adjacent^{2} = opposite^2[/tex]
[tex]\sqrt(hypotenuse^{2} - adjacent^{2}) = opposite[/tex]
Now sub in the numbers:
[tex]\sqrt{(13^2 - (-12)^2)} = opposite[/tex]
opposite = 5
Now sinθ = opposite/hypotenuse
so sinθ = 5/13
A new health drink has 140% of the recommended daily allowance
(RDA) for a certain vitamin. The RDA for this vitamin is 30 mg. How
many milligrams of the vitamin are in the drink?
There are
mg of the vitamin in the drink.
42
Step-by-step explanation:
first we have to find out 40% of 30 which is 12 because 15 is 50% and 27 is 90% Wich would get us 12 with 40% percent then you would take 30 and add 12 which would lead you with 42
h(x) = 3x2 + 13x + 4
Which factor or factors listed below are external influences on a loan's interest rate?
1. the borrower's credit history
II. the length of the loan
III. the federal funds rate
a. I and II
b. I and III
c. II and III
d. III only
Answer:
D
Step-by-step explanation:
EDGE 2021
Find the values of the numbers below. Type the answers in the boxes below.
∣∣1114∣∣ =
Answer:
-1114
Step-by-step explanation:
the lines are absolute value of the number on the inside
so the first 2 lines would equal 1114
but since there are 2 more lines its the opposite of 1114 which is -1114.
Hope this helps
Have a amazing day!
Suppose y = 8x + 3. What is y, if x = 4?
Answer:
y=35
Step-by-step explanation:
y= 8(4)+3= 32+3= 35, so y=35
Answer: y=35
Step-by-step explanation:
Y=8x+3
Y=8(4)+3
Y=32+3
Y=35
