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]
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Related Questions
Mr. Cruz bought 9 3/5 kg of meat. He used 2 3/5 kg for adobo, 4 3/5 kg for menudo and the rest for afritada. How many kilograms of meat did he use for afritada?
Answers
Answer:
3 3/5
Step-by-step explanation:
Write the following decimals and fractions from LEAST
TO GREATEST
.0.5, 0.9375,
11
12
1
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i need help with questions 1-10 i dont know how to do financial math and can i see how the work is done please
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Answer: 4
Step-by-step explanation:
Find multiples of 12 and 16
4 is a common multiple
if you start from 1/4 and add 4 to the denominator and 1 to the numerator you get the following sequence:
1/4, 2/8, 3/12 and 4/16
Therefore the answer to the problem is 4
If you have any more simple algebra question pls message me :)
help me pls don't type random letter or I will report u ty
Answers
Which of the following is the definition of geometric sequence?
A. an ordered set of numbers
B. an element in a sequence
C. a sequence in which terms are given by multiplying the previous term by a common ratio
D. a sequence in which terms are not given by multiplying the previous term by a common ratio
Answers
Answer:
Geometric sequence is a sequence in which terms are given by multiplying the previous term by a common ratio.
Answer:
a sequence in which terms are not given by multiplying the previous term by a common ratio
Step-by-step explanation:
the square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole
Answers
Answer:
fraction: 62/100=31/50
decimal: 0.62
percentage: 62%
Step-by-step explanation:
Eleanor has £50. Trevor takes £y. What’s an expression for how much Eleanor has got left?
Write down the answer, and don’t leave spaces, please.
Answers
Answer:
£50-£y or 50-y
Step-by-step explanation:
remaining = initial - taken
remaining = 50 - y
Mixed numbers 204/5=
Answers
Answer:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 204 by 5 and keep only what is to the left of the decimal point:
204 / 5 = 40.8000 = 40
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
204 - (5 x 40) = 4
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 204/5 as a mixed number is:
40
4
5
Improper Fraction To Mixed Number Converter
204/5 as a mixed number is not the only problem we solved. Go here to convert another improper fraction to a mixed number.
What is 204/6 as a Mixed Number?
Here is the next improper fraction on our list that we converted to a mixed number.
Terminology & Explanation
204 above the division line is called the numerator and 5 below the divison line is called the denominator.
We call the line that separates 204 and 5 the division line. It is also known as the fraction bar or vinculum.
204/5 is an improper fraction because the numerator is greater than the denominator.
A mixed number is an integer (whole number) and a proper fraction.
104 18/ 25 divided by 29 7/10
Answers
Answer:
Exact form = 476/135
Decimal form = 3.5259
Mixed Number form = 3 71/135
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Hope this helps. Please mark as brainlist
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10 points
In the playing card deck below what is the chance of pulling 4 face cards without replacing the cards in between pulls? Answer in decimal form rounded to the 6th digit after the
decimal
Answers
Answer:
0.13000
there is 52 cards in a deck so you take 52 and divide it by 4 since there is only 4 face cards you then get 13 and turn it into 0.13 then round to the 6th digit or millionth after the decimal so you would get 0.130000
A hamburger costs twice as much as a hot dog. Three hamburgers and two hot
dogs cost $21. Choose the system of linear equations that represents this problem.
A. 2y=x
2x+3y=21
B. y=2x
2x+3y=21
C.x=2y
3x+2y=21
D.y=2x
3x+2y=21
Answers
Answer:
C
Step-by-step explanation:
Hamburger = Hotdog x 2
3(Hamburger) + 2(Hotdog) = 21
Now replace with x (Hotdog) and y (Hamburger)
y = 2x
3y + 2x = 21
Suppose you deposit $200 in a savings account that earns 4% per year. Find the simple interest earned in 2 years. Then find the total of principal plus interest.
Answers
9514 1404 393
Answer:
interest: $16account total: $216Step-by-step explanation:
The amount of interest is given by the simple interest formula:
I = Prt . . . . where P is the amount earning interest, r is the annual rate, t is the number of years
I = $200·0.04·2 = $16.00
The simple interest earned in 2 years is $16.00.
__
The total of principal and interest is found by adding those values:
$200.00 +16.00 = $216.00
The total amount is $216.00.
The scale of a map says that 8 cm represents 5 km. What distance on the map (in centimeters) represents an actual distance of 8 kilometers?
Answers
Answer:
40 cm
Step-by-step explanation:
What is the solution to the following inequality?
|3x -8|< 2
Answers below
Answers
Answer:
Step-by-step explanation:
B
thanks i really need this worth 20 points
Answers
Answer:
is b
Step-by-step explanation:
Pleas help thx need asap!
Answers
Answer: 2
Step-by-step explanation:
solve pls brainliest
Answers
Answer:
x = 45
Step-by-step explanation:
JKL = MKL + JKM
80 = 35 + x
x = 80 - 35
x = 45
I hope I helped you^_^
Help me please……………….
Answers
Answer:
8 or [tex]\frac{8}{1}[/tex]
Step-by-step explanation:
[tex]\frac{4}{\frac{1}{2}}[/tex] can also be written as;
4 ÷ 0.5
(0.5 is the 1/2 in decimal form)
4 ÷ 0.5 = 8
Luis is buying a 65 inch TV that costs $650. He pays $100 down and will pay the rest in monthly payments over two years. What will his monthly payments be?
Answers
-13 + 7 - 11 -4y as a sum
Answers
Answer:
-17-4y
Step-by-step explanation:
You just have to add the numbers:
-13+7-11=-17
=17-4y
The sum of the terms -13 + 7 and - 11 -4y is -4y - 17.
What is the sum?A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, a thousand, or a million.
Given:
-13 + 7 and - 11 -4y
Calculate the sum of the expression as shown below,
(-13 + 7) + (-11 - 4y)
-13 + 7 - 11 - 4y [In sum, the sign convention will be (+) + (-) = (-)]
Arrange the term as shown below,
-4y + 7 - 13 - 11
Apply the operation as shown below,
-4y + 7 - 24
-4y - 17
Thus, the sum will be -4y - 17.
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what is this answer 6×7/8
Answers
Answer:
6
56
this is answer
Step-by-step explanation:
Here we will show you how to calculate 6/7 divided by 8. We will give you the answer in fraction form and in decimal form.
Here is 6/7 divided by 8 displayed mathematically in colors:
6
7
÷
8
The numbers in 6/7 divided by 8 are labeled below:
6 = numerator
7 = denominator
8 = whole number
To make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:
6
7 x 8
=
6
56
Thus, the answer to 6/7 divided by 8 in fraction form is:
6
56
The data set below shows a city's high temperature for 11 days, in degrees Fahrenheit.
56, 60, 60, 60, 62, 64, 64, 66, 66, 90, 95
Which is the most reasonable measure of central tendency for the data set?
mean
mode
range
median
Answers
Answer:
I think its range I dont know
Step-by-step explanation:
The mean is the maximum often used as a degree of critical tendency because it makes use of all values inside the information set to give you an average. For statistics from skewed distributions, the median is higher than the implied because it isn't motivated through extremely big values.
The correct option is A.
Which is a better measure of center mean or median?The median is normally a better degree than the middle whilst there are intense values or outliers because it isn't always stricken by the right numerical values of the outliers. The suggestion is the maximum common measure of the middle. The phrases “mean” and “common” are regularly used interchangeably.
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Answer:
-2+I nhgjkhgggggcdffdssssdddddfffyhjbnj
Suppose that 18 inches of wire costs 72 cents. At the same rate, how many inches of wire can be bought for 48 cents?
Answers
Answer:12 inches
Step-by-step explanation:
Whats the answer to this question? ( Branliest )
Answers
Answer:
3+jk+k^6
j=2 & k=6
substituting the values, we have
= 3+2(6)+6^3
= 3+12+216
= 231
Ans=231
Step-by-step explanation:
j=2 and k=6
Now
(6)³+2(6)+3216+12+3216+15231Factor fully 12b^4+18b^2 plz plz plz
Answers
9514 1404 393
Answer:
6(b)(b)(2b^2 +3)
Step-by-step explanation:
The greatest common factor is 6b^2. Factored fully, that is 6·b·b. The terms left after that is factored out are (2b^2 +3). These have no further common factors, or any factors in real numbers or integers.
The full factoring is ...
6·b·b·(2b² +3)
PLEASE I NEED HELP WITH THIS SO I CAN PASS
Answers
Answer:
the answer is------------ 1/4.4.4
Which property can be used to show that if 3a = 4b, then 4b = 3a?
Multiple choice question.
A)
Symmetric Property of Equality
B)
Reflexive Property of Equality
C)
Substitution Property of Equality
D)
Transitive Property of Equality
Answers
Answer:
Hello your answer should be A symmetric property
Step-by-step explanation:
hope this helps
Symmetric property of equality to show that 3a = 4b, then 4b = 3a?
What is symmetric property of equality?The symmetric property of equality is a simple property that says we can interchange the sides of an equation without changing the truth-value of the equation. That is, if a = b, then b = a. Each side of the equation can be thought of as the mirror image of the other
We have the following information available from the question is:
We have to determine the which property can be used to show that if 3a = 4b, then 4b = 3a
Now, According to the question:
3a = 4b
4b = 3a (both are equal)
This property is used to simplify the equations, to reverse the equations, and also for proofs in numerical and non-numerical logic.
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Express 960% as a mixed number
Answers
Answer:
9 3/5
Step-by-step explanation:
When we see a percentage, we know that the base is 100. In other words, 960% is equal to 960/100
With this, its just a matter of transforming the improper fraction to a mixed number.
100 fits 9 times in 960 so there will be 9 wholes
the remaining 60/100 can be simplified to 3/5 through this process:
60/100 = 6/10 = 3/5
Answer:
9 3/5
Step-by-step explanation:
Step 1: Write down the percent divided by 100 like this:
960% = 960/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 960 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(960,100) = 20. So,
(960÷20)/(100÷20) = 48/5 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 960/100 is also equal to 9 3/5 when expressed as a mixed number.