Answers
Answer:
(-9, 14)
Step-by-step explanation:
Let the column vector be represented as a = (3, 4) and b = (5, -2)
2a = 2(3,4)
2a = (6,8)
3b = 3(5, -2)
3b = (15, -6)
Take the difference 2a - 3b
2a - 3b = (6,8) - (15, -6)
2a - 3b = (6-15, 8 -(-6))
2a - 3b = (-9, 14)
Hence the column vector is (-9, 14)
We want to find 2a - 3b as a column vector, we will get:
[tex]2a - 3b = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]
So we want to perform a sum (difference actually) of vectors, we have that:
[tex]a = \left[\begin{array}{ccc}3\\4\end{array}\right] \\\\\\b= \left[\begin{array}{ccc}5\\-2\end{array}\right][/tex]
Remember that when we multiply a vector by a scalar, each component gets multiplied by that scalar, so we have:
[tex]2a = \left[\begin{array}{ccc}2*3\\2*4\end{array}\right] = \left[\begin{array}{ccc}6\\8\end{array}\right] \\\\\\3b= \left[\begin{array}{ccc}3*5\\3*-2\end{array}\right] = \left[\begin{array}{ccc}15\\-6\end{array}\right][/tex]
Now we just perform the direct difference:
[tex]2a - 3b = \left[\begin{array}{ccc}6\\8\end{array}\right] - \left[\begin{array}{ccc}15\\-6\end{array}\right] = \left[\begin{array}{ccc}6 - 15\\8 + 6\end{array}\right] = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]
If you want to learn more, you can read:
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Related Questions
A middle school band uses a company to manage its fundraisers. The company charges a fee of $260 per fundraiser for its services. For the first fundraiser of the year, the band is selling insulated cups with school logos on them for $10.50 each. The goal of the fundraiser is to raise at least $1000.00. The following inequality represents this situation, where c stands for the number of cups
Answers
Answer:
Step-by-step explanation:
10.5c>or equal to 1260
Answer:
I don't see any inequality or a question.
Step-by-step explanation:
I suspect you want to know the minumum number of cups to sell in order to raise $1000 and pay off the company its $260
c(10.5) - 260 > 1000
c > (1000 + 260) /10.5
c > 120 cups
I
Which ordered pair could you add to the following list of points to
create a function? (3,5) (4, 9) (2,5)
(4, 1)
(2,6)
(3,7
(1,9)
Answers
Answer:
2-6
Step-by-step explanation:
5 673226
5. Consider kite HIJK. If HK = 8 and HP = 5, find KP.
H
К.
Р
Answers
Answer:
Step-by-step explanation:
KP²+HP²=KH²
KP²+5²=8²
KP²=64-25=39
KP=√39
Just solve this for my friend, can u
Simplyfy 192/-168
Answers
Answer:
-8/7 is your simplified answer :)
Step-by-step explanation:
Have a nice day <3
Someone please please help me with this!!!
Answers
Answer:
[tex]4x {}^{2} - 36 \\ = (2x + 6)(2x - 6) \\ hence \: option \: b \: is \: correct[/tex]
(05.03 LC)A polygon is shown:
A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clockwise starting from the top left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ. The side MN is labeled as 3 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.)
Numerical Answers Expected!
Answers
Answer:
Do u have a picture? I can answer it better where its correct
Step-by-step explanation:
Assignments
Calculate the circumference and area of the circle shown below. Record your answers,
with units, on the lines provided Use 3.14 for pi.
Calendar
Files
5 in
C = πά
А = 2
Answers
Answer:
That is true
Step-by-step explanation:
You got it right
98 is what percent of 280?
Answers
Answer:
35%
Step-by-step explanation:
Find the percent by dividing 98 by 280
98/280
= 0.35
So, 98 is 35% of 280
bsjsjjdjd
what is the distance between -8 and 535 on a number line
Answers
Answer:
527
Step-by-step explanation:
because i did it in the calculator
There is a bag of marbles that contain 5 blues, 6 red, 3 black, and 2 yellow marbles. What is the probability that you select a blue marble
Answers
Answer:
[tex]\frac{5}{16}[/tex]
Step-by-step explanation:
1) Find the total number of marbles
5 blue + 6 red + 3 black + 2 yellow
= 16 marbles
2) To find the probability of selecting a blue marble, divide the number of blue marbles by the number of total marbles:
5 blue marbles ÷16 marbles
[tex]= \frac{5}{16}[/tex]
Therefore, the probability of selecting a blue marble is [tex]\frac{5}{16}[/tex].
I hope this helps!
Please help!! Prob and stats!!!
Answers
Jose graphed the amount of money paid in relation to the Number of avocados bought. Which statement best describes the unit rate for the graph below?
Answers
Answer:
The Answer is C
Step-by-step explanation:
What is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet? Be sure to convert so you are using like units.
Answers
Answer:
The height of the tank is 0.5 yards.
Step-by-step explanation:
To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:
1 foot = 0.3333 yards
R = Diameter / 2
R = 120/2 = 60
3.14 x 60 ^ 2 x H = 1,884
3.14 x 3,600 x H = 1,884
3.14 x 1,200 x H = 1,884
3.768 x H = 1.884
H = 1,884 / 3,768
H = 0.5
Therefore, the height of the tank is 0.5 yards.
In ΔSTU, u = 890 cm, t = 810 cm and ∠T=38°. Find all possible values of ∠U, to the nearest degree.
Answers
Answer:
Answer: 43 and 137
Step-by-step explanation:
Delta math ez
I have to go to a few places but my friend needs help with this specific equation!
Thank you!
~Hocus Pocus
Answers
Answer:
Hello, this would be a vertical angle graph. Since this graph is a supplementary graph since it stretches about 180 degrees, you would take both 7x and x+20 and set it equal to 180 like this:
7x+x+20=180
Then, you combine the xs and you would get this:
8x+20=180
Then, subtract 20 from both sides like this:
8x=160
Lastly, you would divide 8 by both sides and get x which is:
x=20
Step-by-step explanation:
I hope this helped you!
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
Answers
Answer:
OPS and TSP,
QPS and PSR
Step-by-step explanation:
The alternate interior angles look like the picture provided below. Next time, don't clickbait with the wrong amount of points.
QPS is included but isn't one of the answers because they it's not a multiple choice question.
y=(x-1)^2-9 standard form
Answers
Answer:
Y=x^2-2x-8
Step-by-step explanation:
rgbrgbrgbgbeefweuvhuuvhduvwg
The standard form of the equation y=(x-1)²-9 is y=x²-2x-8
What is Equation?Two or more expressions with an Equal sign is called as Equation.
y=(x-1)²-9 equation is in the form of a quadratic equation
where y is the unknown variable and x is the known variable.
The equation can be written in standard form by expanding the (x-1)² term and combining like terms.
y=(x-1)²-9
y=x²+1-2x-9
Combine the like terms
y=x²-2x-8
The expanded form of the equation is y=x²-2x-8
Hence, the standard form of the equation y=(x-1)²-9 is y=x²-2x-8
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ3
Use the figure below to answer the question. What is the measure of ∠ABC? *
Answers
Answer:
D 98°
Step-by-step explanation:
180-82 = 98 or the long way
3x+5 = 180-82
3x = 93
x = 31
3(31) + 5 = 98
ANSWER WITH WORK SHOWN or I will issue a special Perma Ban Bot to conclude a Permanant IP Ban to your account.
Answers
Answer:
4) 6m, 8m, 10mStep-by-step explanation:
Use Pythagorean to determine the answer
#4
6² + 8² = 10²36 + 64 = 100100 = 100, yes#5
8m + 16m = 24m, hence no triangle formed as per triangle inequality theorem#6
20² + 21² = 28²400 + 441 = 784841 ≠ 784, noDuring a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high
temperatures. However, high temperatures are possible for people who do not have the flu. It is estimated that
12% of those without the flu have high temperatures.
If a student has a high temperature, what is the probability that the student has the flu?
Answers
Answer: 0.8015
Step-by-step explanation:
Let F= event that a person has flu
H= event that person has a high temperature.
As per given,
P(F) =0.35
Then P(F')= 1- 0.35= 0.65 [Total probability= 1]
P(H | F) = 0.90
P(H|F') = 0.12
By Bayes theorem, we have
[tex]P(F|H)=\dfrac{P(F)\timesP(H|F)}{P(F)\timesP(H|F)+P(F')\timesP(H|F')}\\\\=\dfrac{0.35\times0.90}{0.35\times0.90+0.65\times0.12}\\\\=\dfrac{0.315}{0.315+0.078}\approx0.8015[/tex]
Required probability = 0.8015
[tex]1 3/12-2/3=[/tex]
Answers
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
The given problem is a subtraction problem between fractions. The first step in a problem like this is to convert both fractions to a common denominator. In other words, multiply both the numerator and denominator of a fraction by the same value such that the denominator of one of the fractions is the same as the other fraction. The numerator of a fraction is the value over the fraction bar, whereas the denominator is the value under it. Multiplying any fraction by a number over itself is the same as multiplying it by one, thus, the equation will remain true, and be equivalent to the original expression.
[tex]\frac{13}{12}-\frac{2}{3}[/tex]
Convert to a common denominator,
[tex]\frac{13}{12}-(\frac{2}{3}*\frac{4}{4})[/tex]
[tex]\frac{13}{12}-\frac{8}{12}[/tex]
Now perform the subtraction, subtract one numerator from the other, remember, do no perfrom any more operations with the denominators,
[tex]\frac{5}{12}[/tex]
A pencil box is in the shape of a right rectangular prism and filled with unit cubes as shown below. Each unit cube has a length of 1 centimeter (cm). What is the volume of the pencil box?
A - 20 square centimeters
B - 36 cubic centimeters
C - 240 square centimeters
D - 480 cubic centimeters
Answers
Answer:480
multiply the L W H
This shape has all identical faces and a surface area of 240 square meters. What is the area of each face?
A 120
B 80
C 60
D 30
Answers
Answer: C 60
Step-by-step explanation:
240 is the square meter, and if each face is the same, u divide 240 by 4 which equals 60
standard normal distribution
Answers
Answer:
distribution form is like 12x6+24
Step-by-step explanation:
standard form is like 128
11. Evaluate f(2) for f(x) = x3 + 6x2 + 3x -5.
A. 24
B. 33
C.43
D. 27
Answers
Answer:
B.33
Step-by-step explanation:
Plug in 2 for x
(2)^3+6(2)^2+3(2)-5=
Answer:
B
Step-by-step explanation:
Remark
F(2) means that wherever you see an x on the right side of the equal sign, you substitute 2 for.
Suppose the question was f(2) = 3x + 5
Put a 2 where the x is.
f(2) = 3*2 + 5
f(2) = 6 + 5
f(2) = 11
Equation
f(x) = x3 + 6x2 + 3x -5.
Solution
f(2) = 2^3 + 6*2^2 + 3*2 - 5
f(2) = 8 + 6*4 + 6 - 5
f(2) = 8 + 24 + 1
f(2) = 33
solve by regrouping 2x2+6x+54+18x
Answers
Answer:
I believe the answer is=2x2+342.
-x + 6 = 15, x = _________ what does x equal
Answers
Answer:
15-6
Step-by-step explanation:
if it helps don't forget to like and mark me
x=-9
Hope this helps :T
Can someone help me with my math pls if your smart comment
Answers
Answer:
sureeeeeeeeeeeeeeeeee
Answer:
okay
Step-by-step explanation:
i hope i can help!
~mina
Please read "The lost ship" on storyworks.
1)Read the headline. What does it suggest the article will be about?!?
2) Look at the photos or illustrations. Choose one to examine. What page or paragraph is it on? What does the picture show? What do you learn from the picture
3) Choose another photo or illustrations to examine. What page or paragraph is it on? what does the picture show? What do you learn from the picture and caption?
4) Does the article have map?
if yes, what place does it show?
Please help please please please please please please please please please.
Answers
2. could you please provide a picture
3.again, we cannot see a picture
4. we cannot see if the article has a map
EVERYONE HELP SOS SOS I NEED YOUR HELP THIS IS AN EMERGENCY SOS
SOS
SOS
How is X - 5 mathematically different from x > 5?
INCLUDE A REAL LIFE EXAMPLE IN YOUR RESPONSE AND YOU WILL RECEIVE A BONUS POINT AND MARKED BRAINLYEST
Answers
Answer:
The result is different
Step-by-step explanation:
Hope this helps