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 ]
Which graph shows a dilation?
Answer:
Step-by-step explanation:
Sorry but im struggling with this too :(
A bacteria culture is started with 300 bacteria. After 4 hours, the population has grown to 500 bacteria. If the population grows exponentially. How long does it take for the culture to triple in size?
Answer:
12 hours
Step-by-step explanation:
the culture was first 300
the it grew to 500 in 4 hours
so that means it grew by 200 in 4 hours
and the triple it size is 900
you say;
if 200 =4 hours what about 600
=12 hours
There are 17 girls and 23 boys in P.E class.Of these students,10 girls and 14 boys will try out for basketball.What percentage of the stidents will try out for basketball?
Answer:
[tex]60%[/tex]%
Step-by-step explanation:
[tex]17+23=40[/tex][tex], 40[/tex] in total.
[tex]10+14=24[/tex], 24 students trying out.
24 of 40 as a percent[tex]=60[/tex]
Answer:
60%
Step-by-step explanation:
According to formula if finding percent, given number(10+14)divide by total number(17+23) multiply 100% which is 24/40*100= 60%
g(r) = (r + 14)? – 49
1) What are the zeros of the function?
Write the smaller r first, and the larger T second.
Answer:
smaller r =-21
larger r =-7
The vertex of the parabola is at
(-14,-49)
can i get help on this?
For the function f(x) = 4x2 - 3x - 7, find f(-2).
O 15
O -17
O 3
O -7
Answer:
15
Step-by-step explanation:
please the answer is 15
Do think it is A, B, C, D?
Answer:
D
Step-by-step explanation:
the 80*10=800
8 in 183= 80
8 in 4879 = 800
7 1/2 divided by 3/4
Answer:
2 2/3
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
First convert to mixed fractions 7 1/2-> 15/2
Then multiply by the reciprocal---> 15/2 x 4/3
The answer is 60/6
Then simplify---> 10/1 or 10
30 POINTS!! PLEASE HELP
Mai created a scale model of a shoe store her company plans to build. The ratio of the model's dimensions to the dimensions of the actual shoe store to
be built is 1:20. If the volume of the model was 35 ft, what is the volume of the actual shoe store that Mai's company plans to build?
Answer:
it's 700 so last one
Step-by-step explanation:
since it's 1 to 20 you multiply 35×20 and you get 700
Which numbers could be a solution to the inequality? -6 < 3x+ 9 <21
Step-by-step explanation:
-6-9<3x<21-9
-15<3x<12
1) -15<3x
-5<x
2) 3x<12
x<4
so the range of the solution is -5<x<4
what is 3 1/3x1 1/7
Answer:
3 17/21
Step-by-step explanation:
Emily and her twin sister Erica were each given $500 for their birthday. Emily deposits her money in an account that pays 4.75% interest compounded annually. Erica deposits her money in a 5% simple annual interest account. After 10 years how much more money will Emily have in her account?
A $22.41
B $45.26
C $250.00
D $295.26
Answer:
B $45.26
Step-by-step explanation:
After 10 years
Emily will have 500 * 1.045^10 = $795.26
Erica will have 500 + 10*0.05*500 = 500 * 1.5 = 750$
Emily will have $45.26 more.
A small bar of gold measures 20 mm by 250 mm by 2 mm. One cubic millimeter of gold weighs about
0.0005 ounces. Find the volume in cubic millimeters and the welght in ounces of this small bar of gold.
cubic millimeters and the weight of the bar is
The volume of the bar is
ounce(s).
Answer: 5 ounces
Step-by-step explanation:
volume is 20*250*2=10000 cubic mm
10,000*0.0005=5
Austin’s bus arrives at 7:55am if he starts his chores at 7:30 am will he be done in time to meet his bus explain your reasoning answer key
Answer:
it depends on his chores, how many he has, and how he does them
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
I had the same question his chores only last for 15 minutes so yes he would be done in time
please answer asap! no scam links or scam comments or reported.
Answer:
(-10,0)
Step-by-step explanation:
y = 3/2 x + 15
To find the x intercept let y =0 and solve for x
0 = 3/2x +15
Subtract 15 from each side
-15 = 3/2x -15+15
-15 = 3/2x
Multiply each side by 2/3
2/3 *-15 = 2/3 * 3/2x
-10 =x
The x intercept is
(-10,0)
Answer: (-10,0)
Step-by-step explanation:
Given vector v=<-2,-1>, find 5v.
Answer:
5v=(-10;-5)
Step-by-step explanation:
&3*$*'hskjekfjcjcnnnnsnd
What would be the first step you would take in solving the equation 3 - 2x = 4(x + 15) ?
Answer:
Distribute the 4
Step-by-step explanation:
You should always distribute first then you should add the 2x. Then combine like terms. Then subtract 15 then divide by six. Then you get the answer x = -2.
Translate the phrase into an algebraic expression. The difference of c and 6
Answer:
c - 6
Step-by-step explanation:
differnce is subtraction
so subtract.
28÷x=168
What is the value of "x"
Two consecutive even Integers have a sum of 34. Find the Integars
Answer:
18 and 16
Step-by-step explanation:
Which of the following could be the areas of the three squares below?
Answer:
A. 12 ft², 16 ft², and 20 ft²
Step-by-step explanation:
what is the measure of m?
6
24
m
n
Answer:
m=√180
Step-by-step explanation:
n² = 6×24
n² = 144
m² = n² + 6²
m² = 144 + 36
m² = 180
m =√180
Which is the function g(x) for a restricted domain?
O g(x) = 3x-4; 2-4
O g(x) = 3x + 4; x > 0
O g(x) = 3/x+4; x 24
O g(x) = 35-4;> 0
The answer choice which correctly describe s the function g (x) for a restricted domain as required to be determined in the task content is; g (x) = ³√(x + 4) , x ≥ -4.
Which function correctly represents the function g (x) for a restricted domain?As evident in the task content, the function which correctly represents the function g (x) for a restricted domain is to be identified.
By observation of the function;
g (x) = ³√(x + 4) , x ≥ -4.
As evident in the task content; the lowest value of g(x) is; 0.
By checking; when x = -4; the corresponding value of g (x) is;
g (-4) = ³√(-4 + 4)
g (-4) = 0.
On this note, the required function is; g (x) = ³√(x + 4) , x ≥ -4.
Read more on functions and domain;
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5/6 x 2 2/5 solve using distributive property to find the problem
Answer:
2
Step-by-step explanation:
Answer:
5/6 x 2 2/5 = 2
Step-by-step explanation:
https://www.fractioncalc.com/
This calculator link will help you with fraction equations
:))
A plane traveling 480 miles in 1 hour travels how far in 15 minutes
Answer:
120 Miles
Step-by-step explanation:
x2 + 16x – 2 = 11
1) Rewrite the equation by completing the square.
Your equation should look like (x + c)2 = d or (x - c)2 = d.
I
+
utan
pls help
Answer:
(x+8)^2=77 and x=negative 8±√77
Step-by-step explanation:
After watching a video, I got it right on Khan
The equation with completing the squares is (x + 8)² = 77.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x² + 16x - 2 = 11
We can make complete squares.
x² + 16x - 2 - 11 = 0
x² + 16x - 13 = 0
x² + 2 x 8 x (x) -8² + 8² - 13 = 0
(x² + 16x + 8²) - 64 - 13 = 0
(x + 8)² - 77 = 0
(x + 8)² = 77
Thus,
The equation is (x + 8)² = 77.
Learn more about equations here:
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What is the answer for (a^2+12c)÷7b-1
Help! Will Give Brainliest!!!!
Answer:
The answer is C or B i dont really know
Step-by-step explanation:
8ftx4ftx5ft what is the diameter
Answer:
nothing
Step-by-step explanation:
Use the Trig Ratios to find the Missing Side Length
Answer:
[tex] \tan(55) = \frac{x}{8} \\ x = \tan(55) \times 8[/tex]