What is the value of C in the matrix equation below?
|-18 3 51-c-[-22 1 12
o -40
217]
01-40 27]
10142-7)
0 14 2 17]
Given:
The matrix equation is:
[tex]\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]
To find:
The value of matrix C.
Solution:
Let [tex]A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]. Then the given equation can be rewritten as
[tex]A-C=B[/tex]
[tex]-C=B-A[/tex]
[tex]C=-(B-A)[/tex]
[tex]C=A-B[/tex]
On substituting the values of the matrices, we get
[tex]C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-4&2&-7\end{bmatrix}[/tex]
Therefore, the correct option is C.
Answer: C
Step-by-step explanation: [ 4 2 -7 ]
What does MIJ equal ?
PLEASE HELP!!!!!!!!!! BRAINLIEST
Add the following fractions. Simplify and reduce to the lowest terms.
9/16 + 3/16
Answer:
3/4
Step-by-step explanation:
12/16
divided by 4
3/4
Answer: /34
Step-by-step explanation:
9/16 + 3/16
=(9+3)/16 ⇔ Fractions with the same denominator can subtract or add
=12/16 ⇔ Simplify
=(3×4)/(4×4) ⇔ Factor each number
=3/4 ⇔ Divide 4 on both numerator and denominator
Hope this helps!! :)
Please let me know if you have any questions
What is the measurement of Angle E? A) 45° B) 600 ( 75° D) 90°
Not sure if you accidentally typed 600 instead of 60, but the answer should be 60º
explanation:
angles in a triangle sum to 180º, as shown by the triangle on the right (45+75+60=180)
so the missing angle E would be 60º
The quadratic equation y = –6x2 + 100x – 180 models the store’s daily profit, y, for selling soccer balls at x dollars.
The quadratic equation y = –4x2 + 80x – 150 models the store’s daily profit, y, for selling footballs at x dollars. Use a graphing calculator to find the intersection point(s) of the graphs, and explain what they mean in the context of the problem.
Answer:
The quadratic equation y = -4x2 + 80x - 150 models the store's daily profit, y, for selling footballs at x dollars. you can subtract 150 from both sides and use the quadratic formula to find x=4. It can make at most 120 units in one day. 3 1. Backward Bending Supply Curve.
5, 4, 16/5 find the 7th term
Answer:
a₇ = [tex] \frac{4096}{3125} [/tex]
5. A company intends to collect a random sample of size n from a population
with population proportion of interest p. Which of the following situations would
result in the smallest standard deviation of the sampling distribution of p?
Answer:D
Step-by-step explanation:
The situations that would result in the smallest standard deviation of p is; The population proportion p ≠ 0.5, and the sample size is n.
What is the standard deviation?The formula for the standard deviation here is;
SD = √(n(p(1 - p))
Now, for the standard deviation to be maximum, it means that p = 0.5 and as such 1 - p will also be 0.5.
However, for Standard deviation to be smallest, then it means that p ≠ 0.5.
Secondly, for the sample size, it will have to remain as n and not 2n because when we say 2n, we are increasing the sample size which will in turn increase the standard deviation.
Read more about standard deviation at;
please help me
A book is marked 21% off. If the original price is $23.42, what will the sale price be?
Round your answer to the nearest cent. Do not include units with your answer.
Answer:
$18.51
Step-by-step explanation:
23.42×.21= 4.91 then 23.42-4.91= your sale price which is $18.51
Find the dot product of vectors u = -4i + 7j and v = 2i + j
Answer:
The desired dot product is -1
Step-by-step explanation:
To find the dot product of the given vectors, multiply the magnitudes of the 'i' and 'j' terms together, separately, and then add the results:
dot product of u and v = (-4)(2) + (7)(1) = -8 + 7 = -1
The desired dot product is -1
help plese i beg of you
9514 1404 393
Answer:
k = 45 . . . miles per hourk = 1/45 . . . hours per mileStep-by-step explanation:
One way we can relate distance and time is ...
time = k × distance
Then the value of k (the constant of proportionality) is ...
k = time/distance = 4 hours/(180 miles)
k = (1/45) hours/mile
__
Another way we can relate the variables is ...
distance = k × time
Then the value of k (the constant of proportionality) is ...
k = distance/time = (180 miles)/(4 hours)
k = 45 miles/hour
Round 12,628 to nearest 1,000
Answer:
13000
Step-by-step explanation:
it's closer to 13000 than to 12000
Answer:
13000Step-by-step explanation:
12628 >>>13000
Me:
This is easy like what grade are you in?
PLS HELP!!!!
72 REWARD BC ITS URGENT :(
Which of the following equations is not balanced?
A. N2 + 3H2 --> 2NH3
B. Mgl2 + Br2 --> MgBr2 + I2
C. KCIO3 --> KCI +O2
D. HCI + NaOH --> NaCI +H2O
Need the answer for x and y
Answer:
x = 7°
y = 10°
Step-by-step explanation:
7x = 49
x = 7°
180 = 13y + 1 + 49
combine like terms:
13y = 130
y = 10°
Answer:
X equals to 7 & y equals to 10 'cause ;
7X=49
X=7
50 + 13 y + 1 = 180
13y = 130
y=10
Step-by-step explanation:
Good luck.
hope it was helpful for u .
I need some help with my grade 10 math work
A music store had a sale on tapes and CDs. Tapes were on sale for $5 each and CDs were on sale for $7. During the sale, 32 tapes and CDs were sold. The cash receipts from the sale of the tapes and CDs, before taxes, were $200. Let x represent the number of tapes and let y represent the number of CDs sold during the sale.
Answer:
12 tapes and 20 CDs were sold.
Step-by-step explanation:
Since a music store had a sale on tapes and CDs, and tapes were on sale for $ 5 each and CDs were on sale for $ 7, and during the sale, 32 tapes and CDs were sold, and the cash receipts from the sale of the tapes and CDs, before taxes, were $ 200, to determine the number of CDs and tapes sold during the sale, the following calculation must be performed:
7 - 5 = 2
32 x 5 = 160
200 - 160 = 40
40/2 = 20
32 - 20 = 12
12 x 5 + 20 x 7 = X
60 + 140 = X
200 = X
Therefore, 12 tapes and 20 CDs were sold.
ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY IF YOU PUT A WRONG ANSWER ILL REPORT YOU FASTER THAN ASSIGMENT IS DUE
Answer:
It is 47.5 or 47 1/2
Step-by-step explanation:
The formula for volume of a prism is base x height.
The base is the area of the rectangle at the bottom. The area of a rectangle is, of course, length times width, so 2.5 x 4=10.
So, the base is 10.
Now, the second part of the formula is height.
The height is 4.75.
Now, do the formula: Base x height : 10 x4.75
The answer is 47.5.
Don't report me lol. I promise it is correct.
Answer:
I need 5 Brainliest before I can become Ace
Step-by-step explanation:
Simon pays $9 for 6 visits to swim at the community pool. He pays $18 for 12 visits to swim. How much does it cost for each visit to the pool?
Answer:
$1.50
Step-by-step explanation:
If you do cost per quantity you would get $9 over 6 visits. Then you divide both sides by 6 because to get to one by 6 it's 6 so when you divide both sides by 6 you would get 1.5 over 1 and all you do is add a zero because you're dealing with money
Hope this helps :)
Approximately how long will it take a jet to travel 400 miles at a rate of 120
miles per hour?
A.) 3 1/3
B.)3 1/2
C.)4 1/2
D.)4 1/3
Answer:
3 1/3
Step-by-step explanation:
Which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"
-8
Og+3
8
9+3
-8+g
3
+3
Answer:
[tex]\dfrac{-8}{x+3}[/tex]
Step-by-step explanation:
We need to find an algebraic expression for the given statement i.e. "the quotient of negative eight and the sum of a number and three".
Let the number be x. Quotient means to divide. It means we need to divide -8 and the sum of x and 3.
So, we can write it as follows :
[tex]\dfrac{-8}{x+3}[/tex]
Hence, this is the required solution.
The area of the triangle below is 44.59 square centimeters. What is the length of the
base?
9.1 cm
Answer:
6 cm.
Explanation: 6
cm.
Explanation:
Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.
The formula to find the area of a triangle is:
a = 1 2 h b
→ ( h = height , b= base )
We know:
a = 24 h = 8
So we can substitute them in and find
Multiply by sides by 2 and then divide:
The base of the triangle is
6 cm. -step explanation:
Plz help NO LINKS this is due today
A minute- hand of a clock is 16 in long. Find the distance traveled by the tip of the minute - hand in one hour.
The graph of f (x) = (x - 2)² + 1 is shown below. What would the new equation of the function be if it is shifted up 2 units?
Answer:
f (x) = (x - 2)² + 3
Step-by-step explanation:
Adding 2 to the constant k would shift the entire equation upwards by 2.
A duck swims at a speed of 1 meter per second. How long does it take for it to cross a 50 meter wide pond?
Answer:
50 seconds.
Step-by-step explanation:
Hope this helps!
Answer:
50 seconds.
Step-by-step explanation:
If it takes 1 meter per second.
50 meter = 1 × 50 seconds
= 50 seconds.
Hakima and Joshua both opened savings accounts. Both started with a balance of zero dollars. For every $3 that Hakima saves in her account, Joshua saves $5. If they have saved a total of $336, how much did Hakima save?
-6x+8y=12 and -3x+4y=6
Answer:
3441
Step-by-step explanation:
PLS HOPE THIS HELP
Using the order of operations, what are the steps for solving this expression? 40/8+3^2+(15-7)*2 Arrange the steps in the order in which they are performed.
9514 1404 393
Answer:
simplify parenthesesevaluate the exponential termdivide 40/8multiply 8*2add 5+9add 14+16Step-by-step explanation:
40/8+3^2+(15-7)*2 . . . . given
The order of operations tells you to start by evaluating expressions in parentheses. Here, that is the subtraction of 7 from 15.
40/8 +3^2 +8*2 . . . . (15-7) = 8
Then you evaluate exponential terms.
40/8 +9 +8*2 . . . . . 3^2 = 9
Then perform multiplication and division, left to right. Here, division is first, then multiplication.
5 +9 +8*2 . . . . . divide 40/8 = 5
5 +9 +16 . . . . . . multiply 8*2 = 16
Finally, perform addition and subtraction, left to right.
14 +16 . . . . add 5+9
30 . . . . . . . add 14+16
Answer:
it is 8
Step-by-step explanation:
Find the surface area of the rectangular prism (above) using its net (below).
Correct answer will receive a cookie and branilist
Answer:
62
Step-by-step explanation:
15+15+10+10+6+6= 62
Apr 08, 12:51:17 AM
Brittney wants to buy grapes and apples to bring to a party. Grapes cost $1.60
per pound and apples cost $1.75 per pound. If she only has $10 to spend on
grapes and apples, which inequality represents the situation where she buys x
pounds of grapes and y pounds of apples?
1.60x + 1.75y < 10
1.60x + 1.75y > 10
Submit Answer
1.75x + 1.60y < 10
1.75% + 1.60y > 10
Type here to search
O
12:5
4/8/
Answer: did you get a answer yet?
Step-by-step explanation:
Please help will give brainliest
Answer:
A+B=180°(linear pair)
a+ 52°=180°
a=180°-52°
a=128° is your answer
90:(3+6)-20.(60-55) propiedad
Answer:
https://www.commoncoresheets.com/Math/Properties/Applying%20Properties%20of%20Operations/Spanish/2.pdf
Step-by-step explanation:
This will help you:) not a spam link its a pdf that brings you straight to the worksheet <3