(1 point)
If A and B are 7 x 2 matrices, and C is a 4 x 7 matrix, which of the following are defined?
OA. CA
B. B - A
C. B-C
D. ABT
E. AC
OF. CT
Answers
The statements A, B, D, and E are defined.
When we multiply matrices, the number of columns of the 1st matrix must equal the number of rows of the 2nd matrix.
What is the subtraction of the matrix?
When we add or subtract matrices, the number of rows and columns must be the same.
A) If C is 7x3 and A is 3x2, that means C has 3 columns and A has 3 rows. So C * A is defined.
B) When you transpose a matrix, the number of rows and columns are switched. So C^T has 3 rows and 7 columns. So C^T is defined.
C) B has 2 columns and C has 7 rows, so B * C is not defined.
D) Because A and B have the same number of rows and columns, we can add them. So A + B is defined.
E) B^T has 2 rows and 3 columns, and C^T has 3 rows and 7 columns. So B^T has the same number of columns as the number of rows as C^T. So B^T * C^T is defined.
F) C and A have different numbers of rows and columns, so C-A is not defined.
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Related Questions
Which of the following is a solution to the equation ¾x-12=-18?
4.5
-22.5
-40
-8
Answers
[tex]\frak{Hi!}[/tex]
[tex]\orange\hspace{300pt}\above2[/tex]
We have the equation [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x-12=-18}}[/tex].
First we should add 12 to both sides of the equation.
[tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x=-18+12}}[/tex]. Simplify
[tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x=-6}}[/tex].
This done, let's multiply the equation by 4. You'll see why
[tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{\not4}x\times\not4=-6\times4}}[/tex]
Did you see how on the left, the 4's cancelled? That's
because dividing by 4 and then multiplying the same
number, or the result, by 4, are operations that undo each
other.
This being said, let's finish solving this equation in terms of x
[tex]\large\boldsymbol{\sf{3x=-24}}[/tex]. See how this works?
Now, remember that we ought to use inverse operations
to solve for x. These are operations that undo each other.
So if x is multiplied by 3, we should... divide by 3!
Also, please keep in mind that we can only divide the left side
by 3 if we divide the right side by 3.
[tex]\large\boldsymbol{\sf{\displaystyle\frac{3x}{3}=\displaystyle\frac{-24}{3}}}[/tex]. Once again the 3s on the left cancel, leaving
x. Wait! Isn't that what we wanted? Yepp, sure!
The right side is now -8. Thus,
[tex]\large\boldsymbol{\sf{x=-8}}[/tex]
[tex]\orange\hspace{300pt}\above3[/tex]
Find the coefficient of determination, given that the value of the linear correlation coefficient, r, is –0.721.
Answers
The coefficient of determination is calculated as: 0.520.
How to Find the Coefficient of Determination?The coefficient of determination = the square of the correlation coefficient.
Given the following:
Value of the linear correlation coefficient (r) = -0.721
Therefore, we would have:
The coefficient of determination = (-0.721)²
The coefficient of determination = 0.520
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Aisha has a health insurance policy with an 80/20 coinsurance and deductible of $3,200. She has met 45% of her deductible before having
some tests done. Given the cost of her tests below, how much will she pay?
Bill #1- Blood Test = $345.25
Bill #2 - Allergy Test = $175.00
Bill #3- MRI = $920.65
Select one:
O a. $319.10
O b. $1,440.90
O c. $3,200.00
O d. $1,760.00
Answers
The payment for the test based on the information about the insurance will be B. $1440.90.
How to compute the value?The cost for the payment will be:
= Blood test expenses + Allergy test - MRI expenses
= $345.25 + $175.00 + $920.65
= $1440.90
Therefore, the payment for the test based on the information about the insurance will be $1440.90
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translate the sentence into an equation rhoda's score decreased by 10 is 51 use r to represent rhoda's score
Answers
Answer: r - 10 = 51
Step-by-step explanation:
Solve the inequality and enter your solution as an inequality comparing the
variable to a number.
x+4>11
Answers
Answer:
⅝8⅝
Step-by-step explanation:
I made this with love and everything in the world of 9⁴⅝
If
f(x) = 2x² - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [?]x² + [?]x + [?]
Answers
Answer:
f(g(x)) = 50x² + 140x + 93
Step-by-step explanation:
f(g(x)) means that within the f(x) equation, you want to replace all of the x variables with the g(x) equation.
So,
f(g(x)) = 2 (5x+7)² -5
= 2 ( 25x²+ 70x + 49) - 5
= 50x² + 140x + 93
:)
Will give brainliest
A radioactive element has a half-life of 55 days. what percentage of the original sample is left after 115 days? round to 4 decimals when necessary.
Answers
The percentage of the radioactive isotope left is 25.0000%.
What is the half life?The half life of a radioactive isotope is the time that will elapse before only half of the number of original isotopes will remain.
Now;
We are told that;
Half life (t1/2) = 55 days
Time taken (t) = 115 days
Ratio of isotope remaining = N/No
Thus;
N/No = (1/2)^t/t1/2
N/No = (1/2)^115/55
N/No = (1/2)^2
N/No =1/4
Hence, the percentage = 1/4 * 100/1 = 25.0000%
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While researching different companies, she discovers the following standard deviations of one year of daily stock closing prices.
Masterful Pocket Watches: Standard deviation of stock prices =$9.83
Eye Remember Enterprises: Standard deviation of stock prices =$1.15
Based on the data and assuming these trends continue, which company would give Donna a stable long-term investment?
a} eye remember enterprises; the smaller deviation indicates that eye enterprises have less variability in its closing prices than masterful pocket watches.
b}masterful pocket watches; the larger standard deviation indicates that masterful pocket watches have less variability in its closing prices than eye remember enterprises.
c} eye remember the enterprises; the smaller standard deviation indicates that eye remember enterprises has a greater mean closing price than masterful pocket watches.
d}masterful pocket watches; the larger standard deviation indicates that masterful pocket watches have a greater mean closing price than eye remember enterprises.
Answers
The data and assuming shows that the company that would give Donna a stable long-term investment is A. eye remember enterprises; the smaller deviation indicates that eye enterprises have less variability in its closing prices than masterful pocket watches.
How to illustrate the information?It should be noted that the information given implies that Donna needs a stable long term investment.
In this case, it's appropriate that the company that has the less standard deviation should be chosen.
This illustrates that Perfect Plungers has less variability.
In conclusion, the correct option is A.
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Please solve this question
Answers
Answer:
a) 0.2098
b) 0.036
c) 0.1866
d) 0.9849
Step-by-step explanation:
Image is color coordinated for each part below,
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Richard wants to purchase a Jeep. The purchase price of the Jeep is $ 42 , 000. The dealership will allow him to pay cash or finance the Jeep with a down payment of $ 4 , 000. and 72 monthly payments of $ 680. Richard chose to finance the jeep.
Answers
Answer:
Good for him for buying a Jeep
Step-by-step explanation:
2. For the following data, calculate the z-score. (5 points)
a. Sierra wishes to enroll her son in an exclusive academy. Her son must
score an 107 on their aptitude test in order to be accept. Calculate the z-
score for a score of 107 based on the data provided.
Score (Y) = 107
Mean = 95
Standard Deviation = 7.5
hint: Use the z-score formula to convert 107 into a z-score
Answers
The z-score for a score of 107 is 1.6
How to determine the z-score?The given parameters are:
Score (Y) = 107Mean = 95Standard Deviation = 7.5The z-score is calculated using:
[tex]z = \frac{x -\bar x}{\sigma}[/tex]
So, we have:
[tex]z = \frac{107 -95}{7.5}[/tex]
Evaluate the difference
[tex]z = \frac{12}{7.5}[/tex]
Divide
z = 1.6
Hence, the z-score is 1.6
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how do i find x?? whats the answer?
Answers
Through proportionality theorem.
Therfore [tex] \frac{ 11}{121} = \frac{10}{5x + 10} \\ \\ 11(5x + 10) = 121(10) \\ (5x + 10) = \frac{121(10)}{11} \\ 5x + 10 = 110 \\ 5x = 110 - 10 \\ 5x = 100 \\ \frac{5x}{5} = \frac{100}{5 } \\ x = 20cm[/tex]HOPE THIS HELPS!Solve 10x=3
how do i take logarithms on both sides?
Answers
3/10=x
3/10=0.3
X=0.3
Answer:
x ≅ 0.477.
Step-by-step explanation:
You probably meant:
[tex]10^x = 3.[/tex]
If that is the case, then let's solve it:
[tex]10^x = 3\\\\log\,10^x=log\,3\\\\x = log\,3\\\\x = (approx.)\,\,0.477.[/tex]
Using a supply and demand graph for gasoline starting at an equilibrium price of $5.00 per gallon and a quantity of 20
gallons, show the effect of a government price ceiling on gasoline of $2.50 a gallon. Is this a binding price ceiling? Why
or wy not? Please explain.
Answers
Yes, to some extent President Biden is right in telling them to lower the price rate because due to the war, a lot of gas companies a using it as a yardstick to inflate their prices and sell above the normal rate they bought it and the oil firms needs to consider the times that people are too.
2. The effect of a government price ceiling on gasoline of $2.50 a gallon is shown in the image attached. There is a binding at $2.00.
3. As price increases, demand also increases in times of gasoline because due to the war, Russia have refuse selling their oil and as such, this has lead to increase demand on the gasolines on ground.
What is Binding Price Ceiling?
A binding price ceiling is one that often takes place if the government are known to have set up a standard price on a good or goods at a specific price that is below equilibrium.
Therefore, to the number one question, we respond Yes, to some extent President Biden is right in telling them to lower the price rate because due to the war, a lot of gas companies a using it as a yardstick to inflate their prices and sell above the normal rate they bought it and the oil firms needs to consider the times that people are too.
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Peter analyzed a set of data with explanatory and response variables x and y. He concluded the mean and standard deviation for x as 7.8 and 3.70, respectively. He also concluded the mean and standard deviation for y as 12.2 and 4.15, respectively. The correlation was found to be 0.964. Select the correct slope and y-intercept for the least-squares line. Answer choices are rounded to the hundredths place.
Answers
The y-intercept is 3.78.
We have given that,
[tex]\overline{x}=7.8 ,S_x=3.70,\\\overline{y}= 12.2,S_y=4.15\\r=0.964[/tex]
What is the formula of the slope?[tex]Slope=r \times\frac{S_y}{S_x} \\\\Slope=0.964\times \frac{4.15}{3.70}\\ Slope=1.08=\overline{y}-slope\:\times \overline{x}\ intercept\\=\overline{y}-slope\:\times \overline{x}\\=12.2-1.08(7.8)\\=3.78[/tex]
Therefore the y-intercept is 3.78.
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Ten copper pennies having a total mass of 25 grams warm up from 23oC to 38oC as you hold in your hand. If the specific heat capacity of copper is 0.39 J/(g *oC), how much energy is absorbed by the pennies?
Answers
The amount of energy absorbed by the pennies made up of copper is 146.25J
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Amount of energy absorbed = mass * temperature change * specific heat capacity
Amount of energy absorbed = 25 * (38 - 23) * 0.39 = 146.25J
The amount of energy absorbed by the pennies made up of copper is 146.25J
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the eastern alberta DC transmission like is a project that began construction in 2012. It includes a 500km, 500kv power line from the brooks area to the edmonton area. (the V stands for volts, and SI unit for the electrical potential)
Answers
The number of the required towers based on the information given is 3334.
How to calculate the number?From the information given, it should be noted that the length of power line is 500km
The towers supporting the line are 1.5hm apart. It should be be noted that 1km = 10hm. Therefore, the require towers will be:
= (500 × 10)/1.5
= 3334
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The surface area of an open-top box with length
L
, width
W
, and height
H
can be found using the formula:
A
=
2
L
H
+
2
W
H
+
L
W
Find the surface area of an open-top box with length 4 cm, width 8 cm, and height 5 cm.
Answers
Answer:
Surface Area is equal to 160 cm²
here is your answer
Please help me with this on the picture.
Answers
Answer:
year 7 mean: ≈7.714
year 8 mean: 14
Step-by-step explanation:
mean = sum / number of observations
number of observations = 5, as there are 5 bars for each year
year 7 is the bar on the left for each day
observations for year 7:
5, 8, 9, 13, 19 (left to right)
sum = 5 + 8 + 9 + 13 + 19 = 54 for year 7
mean for year 7 = 54 / 7 ≈ 7.714
observations for year 8 (left to right):
10, 11, 18, 12, 19
sum = 10 + 11 + 18 + 12 + 19 = 70
mean = 70 / 5 = 14
Which diagram represents rx ◦ RO,180°?
Answers
Answer:
if this is for edge unity the answer is B
3. What is the measure of angle HEK in this figure?
95
55
85
150
Answers
Answer:
95 is the correct answer
Step-by-step explanation:
The initial or beginning side is H. Look on the protractor and you will see the top number is 55 degrees. That is where we start. Now, go to line E, that is where we end. The top number is 150. To find <HEK, we need to subtract 55 from 150 to get 95.
can someone please help with part III?? don’t use my work it’s prob wrong lol :)
Answers
Answer: formula
AB= (-1- -3)+((3-1)
(-1+3 )^2+(3-1)^2
2^2+2^2
Sq rt of 8 is 2.83
length of AB is 2
BC= (-3- -1)^2 + (5-3)^2
-3+1 =-2^2+2^2=4+4=8
Sq rt of 8 is 2.828= 2.83
Step-by-step explanation:
The equation of the line of best fit of a scatter plot is y = 6x − 9. What is the slope of the equation?
Answers
Answer:
6
Step-by-step explanation:
The equation of the line is written in the slope-intercept form:
y = mx +b
where m is the slope and b is the y-intercept.
Matching patternsThe given equation is ...
y = 6x -9
Comparing this to the slope-intercept form, we see that ...
m = 6
b = -9
The slope of the line is m = 6.
WHAT IS THE CORRECT ANSWER ANSWER ASAP
Answers
Answer:
d
Step-by-step explanation:
Equation P: a + b = 6
Equation Q: 4a + 2b = 19
Which of the following steps can be used to eliminate the a term?
−1(4a + 2b = 19)
−4(4a + 2b = 19)
−4(a + b = 6)
4(a + b = 6)
Answers
Answer:
-4(a + b = 6)
Step-by-step explanation:
When you multiply equation P by -4, you obtain -4a - 4b = -24. You can then add this equation to equation Q to eliminate the a term.
Linear function model
Answers
Answer:
f(x) = 800 - 75x
Step-by-step explanation:
Rachel took a loan of 800 dollars | Money Owed: f(x) = 800
She pays back 75 dollars a week <-> (x) | Money Owed: f(x) = 800 - 75x
Which of the following is correct based on this picture? A. none of these are correct B. sinZ=61/73 C. cosZ=61/73 D. tanZ=61/73
Answers
Answer:
C.) cosZ=61/73
Step-by-step explanation:
I hope you got the answer
Slope is given by the formula
Answers
Answer:
A
Step-by-step explanation:
Answer
You never add or subtract to get the slope. That makes C and D incorrect. B is the upside down of the answer.
Answer: the answer is A slope = rise / run
1. a. Determine the equation of a parent function for the parabola that has zeros 1,-5.
Determine the member equation that passes through the point (-2,-36)
Answers
The member equation which passes through the point (-2,-36) is y = 4 ( x-1)(x+5) .
What is a Parabola ?Parabola is a U shaped figure , whose all points are at a fixed distanced from a point called as focus and a line called as Directrix.
It is given that
The zeroes of the parabola is 1,-5.
The equation of the parabola is given by
y = a( x - x')(x-x'')
y = a( x-1)( x+5)
This is the equation for the parent function for the parabola
The parabola passes through the point ( -2 , -36 )
-36 = a( -2 -1)(-2+5)
-36 = (-3) * (3) a
-36 = -9 a
a = 4
y = 4 ( x-1)(x+5)
The member equation which passes through the point (-2,-36) is y = 4 ( x-1)(x+5) .
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From a group of 13 women and 12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can the study group be selected?
Answers
The total number of ways the study can be selected is: 637065
Given,
Total number of women in a group= 13
Total number of men in a group = 12
Number of women chosen = 8
Number of men chosen = 8
∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.
This in the form of combination factor = nCr
∴ nCr = n!/(n₋r)! r!
13C₈ = 13!/(13 ₋ 8)! 8!
= 13!/5!.8!
= 1287
12C₈ = 12!/(12₋8)! 8!
= 12!/5! 8!
= 495
Now multiply both the combinations of men and women
= 1287 × 495
= 637065
Hence the total number of ways the study group is selected is 637065
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