Beth walk two blocks in 15 minutes how many blocks or bad word if she walked at the same rate for an hour

Answers

Answer 1

The answer for this given question is 8 blocks

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

basic rules of algebra

• Commutative Rule of Addition.

• Commutative Rule of Multiplication.

• Associative Rule of Addition.

• Associative Rule of Multiplication.

• Distributive Rule of Multiplication.

15*4= 60, meaning a full hour.

15 minutes = 2 blocks

add them all up and we get that in 60 minutes (an hour) Beth walked 8 blocks.

Hence, Beth walked 8 blocks in 60 minutes of time.

Learn more about algebra here:

https://brainly.com/question/723406

#SPJ9

Related Questions

in the class there are 50 students 35 are boy. calculate the ratio of girls to boy

Answers

The ratio of girls to boys in the class is 3:7.

To calculate the ratio of girls to boys in the class, we need to determine the number of girls in the class.

Given that there are 50 students in total and 35 of them are boys, we can find the number of girls by subtracting the number of boys from the total number of students:

Number of girls = Total number of students - Number of boys

Number of girls = 50 - 35

Number of girls = 15

Now that we know there are 15 girls in the class and 35 boys, we can calculate the ratio of girls to boys.

Ratio of girls to boys = Number of girls / Number of boys

Ratio of girls to boys = 15 / 35

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which in this case is 5:

Ratio of girls to boys = (15 ÷ 5) / (35 ÷ 5)

Ratio of girls to boys = 3 / 7

This means that for every 3 girls, there are 7 boys in the class. The ratio provides a relative comparison of the number of girls to the number of boys, helping to understand the gender distribution within the class.

For more such questions on ratio

https://brainly.com/question/12024093

#SPJ8

I earns 875,00 in five working days so how many days must I work in order to earn R3500,00

Answers

The number of days you will need to work in order to earn R3500,00 given the ratio of amount earned in 5 days is 20 days

How many days will I earn R350,000?

If in 5 working days, you earn R87,500

Then, you will earn R350,000 in x working days

The task content can be solved using the concept of equivalent ratio;

Number of days : amount earned

5 : 87,500 = x : 350,000

5/87500 = x / 350,000

cross product

5 × 350,000 = x × 87500

1,750,000 = 87,500x

divide both sides by 87,500

x = 1,750,000 / 87,500

x = 20

Hence, you need to work for 20 days in order to earn R350,000

Answers

Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

Select the correct answer. log(2x-100) = 3
What is the solution to this equation?

Answers

Answer:

550

Step-by-step explanation:

Rewrite in exponential form:

10^3=2x-100

Solve for x:

1000= 2x-100

2x=1100

x=550

The solution to this equation is x =550

What is logarithm?

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Given

Rewrite in exponential form:

10³=2x-100

Solve for x:

1000= 2x-100

2x=1100

x=550

To know more about logarithm refer to :

https://brainly.com/question/12049968

#SPJ2

Find the slope of the line that passes through (7, 16) and (9, 7).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

The slope of the line is $\frac{9}{-2}$.

Step-by-step explanation:

We use the formula change in y over change in x to find the slope of the line:

$\frac{16-7}{7-9}$

$\frac{9}{-2}$

Therefore the slope of the line is $\frac{9}{-2}$.

wich expression is equivalent to 0.5 * 0.6?

Answers

Answer:

0.3

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

I hope this is what you where asking for?

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

scale factor = 1.5

Step-by-step explanation:

15 / 10 = 1.5

10 * 1.5 = 15

find the value of x

need to show work

Thank you guys

Answers

Answer:

Since they are vertical angles (or angles opposite each other), you set them equal to each other.

5x + 4 = 74

5x = 70

x = 15

HELP NEEDED ASAP

2. Consider the following transformed function
y = −2 Sin [2( − 45°)] + 1

a) Graph the five key points of Parent function on the provided grid. [1mark]

b) State the following for the transformed function [2marks]
Amplitude=
period=
Horizontal Phase shift =
Equation of axis=

c) Graph at least two cycles of the transformed function by transforming the key points of the parent function. (Don’t forget to label the x-axis and y -axis)

Answers

The five key points of the parent function are:

Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)

The five key points of the parent function

The function is given as:

y = -2 sin[2(x - 45)] + 1

The above function is a sine function, and the parent function of a sine function is

y = sin(x)

The properties of the above function are:

Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)

The transformed function

The transformed function is given as:

y = -2 sin[2(x - 45)] + 1

A sine function is represented as:

y = A sin[Bx + C] + D

Where:

A represents the amplitudePeriod = 2π/BC represents horizontal phase shift

Using the above representations, we have:

Amplitude = -2Period = 2π/2 = πHorizontal phase shift, C = 2 * -45 = -90Equation of the axis, y = 1

The graph of the function

See attachment for the graph of the sine function y = -2 sin[2(x - 45)] + 1

Answers

In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.

To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).

The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.

Given data:

Cost of a 30-second commercial in 2021 = $5.6 million

CPI in 2021 = 271.4

CPI in 1967 = 33.4

To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:

Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)

Cost in 1967 = ($5.6 million) * (33.4 / 271.4)

Cost in 1967 ≈ $0.689 million

To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:

Cost in 1967 ≈ $68,900

For more such information on: CPI

https://brainly.com/question/1889164

#SPJ8

How-many-numbers-from-1-to-999-do-not-have-any-repeated-digits? And how-many-are-even?

Answers

• The single-digit numbers 1-9 do not have any repeated digits, so they contribute 9 numbers.

• Of double-digit numbers 10-99, the first digit can be picked from 1-9 and the second from 0-9 minus whichever one is picked for the first digit, so they contribute 9×(10 - 1) = 81 numbers.

• Of the triple-digit numbers 100-999, the first digit is picked from 1-9 and the second and third digits from 0-9, so they contribute 9×(10 - 1)×(10 - 2) = 648 numbers.

So there are 9 + 81 + 648 = 738 numbers from 1-999 without repeated digits.

Of these numbers, the ones that are even end in 0, 2, 4, 6, or 8.

• Of the single-digits, there are 4 numbers.

• Of the double-digits, the first digit can be chosen from 1-9 and the second from {0, 2, 4, 6, 8}.

•• If the first digit is odd and picked from {1, 3, 5, 7, 9}, then they contribute 5×5 = 25 numbers.

•• If the first digit is even, then they contribute 4×(5 - 1) = 16 numbers (because the first digit can't be 0).

• Of the triple-digits, the third digit is picked from {0, 2, 4, 6, 8}.

•• If both the first and second digits are odd, then they contribute 5×(5 - 1)×5 = 100 numbers.

•• If the first is odd and the second is even, then they contribute 5×5×(5 - 1) = 100 numbers.

•• If the first is even and the second is odd, then they contribute 4×5×(5 - 1) = 80 numbers.

•• If both are even, then they contribute 4×(5 - 1)×(5 - 2) = 48 numbers.

So there are 4 + (25 + 16) + (100 + 100 + 80 + 48) = 373 even numbers from 1-999 with no repeating digits.

Over the last 50 years the average cost of a car has increased by a total of 1,126%. If the average cost of a car today is 30.031, how much was the average cost 50 years ago.

Answers

The amount of average cost 50 years ago will be $2,667.05.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Over the last 50 years, the average cost of a car has increased by a total of 1,126%. If the average cost of a car today is 30,031. Then the amount of average cost 50 years ago will be given as,

⇒ $30,031 / 1,126%

⇒ $30,031 / 11.26

⇒ $2,667.05

The amount of average cost 50 years ago will be $2,667.05.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

6th grade math! Help me please :))

Answers

Subtract 48-19=29 Correct me if I'm wrong.

That means it's 29 cups.

Answer:

29 cups

Step-by-step explanation:

step 1: since the liquid in the photo is shown to go up to between 18 and 20, it has to be 19 cups.

step 2: so she had 48 cups, right? and she used 19. so we have to subtract 19 from 48.

step 3: 48-19 = 29. she has 29 cups left..

i hope this helps!

Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.

Answers

The stem-and-leaf plot of the given data is attached.

A stem-and-leaf plot refers to a device used to present quantitative data in a graphical format to help in visualizing the shape of a distribution. It is a table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

From the given options, the statements that describe the percentages distributed, distribution skewness and whether there are any gaps are:

The percentages are concentrated from 20% to 60% as these concentrations have more than one values. These data are fairly symmetric, perhaps slightly skewed right, considering the midpoint, 4.5, there are fairly equal number of values on each side, perhaps a little more on the right side.There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands, as there are no values corresponding to 1, or no values between 10 and 19 percent.

Learn more about Stem-and-leaf plot:

https://brainly.com/question/26678606

#SPJ4

Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S.

how many like terms are in the expression 4j^2 +3j^2-9j^2

Answers

Answer: 16j^3+2

Step-by-step explanation:

ABCD is a square.
Solve for x

Answers

X = 29

Hope you have a good day and good luck!

4. The cases when one of the artists is out is useful for determining domain and range because it shows the most number of hours one would need to work when the other person works 0 hours. Recall that Philipe draws 3 per hour, Claude draws 4 per hour, and their goal is to draw a combined total of 60 caricatures per day. Let C' be the horizontal axis and P be the vertical axis.

Answers

One artist not working scenario helps determine domain and range. It shows the max hours one needs to work when the other is not working. C' represents Claude's work hours, and P represents Philipe's work hours on the vertical axis.

The scenario where one of the artists is not working is helpful in finding the domain and range of their work hours. This scenario shows the maximum number of hours one artist would need to work when the other artist is not working. For instance, if Philipe is not working, Claude would have to work for 15 hours (60 caricatures ÷ 4 caricatures per hour) to meet their goal. Similarly, if Claude is not working, Philipe would have to work for 20 hours (60 caricatures ÷ 3 caricatures per hour) to meet their goal. On the horizontal axis, we can represent the hours that Claude works (C'), and on the vertical axis, we can represent the hours that Philipe works (P).

Learn more about domain and range here: brainly.com/question/28135761

#SPJ9

Which set of ordered pairs (x, y) could represent a linear function?
A = {(-8,8), (-4,5), (0, 2), (5, -1)}
B = {(-1, -2), (2,1), (5,4), (8,7)}
C = {(-2,8), (1,5), (4,2), (6, -1)}
D = {(-1,0), (1, 1), (7,5), (9,6)}

Answers

The ordered pairs that represent the linear function is Option A, B and C.

What is linear function?

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph. If the function has more variables, they should all be constants or known variables in order for the function to continue to function as a linear function.

To determine which ordered pairs represent a linear function we use the equation of slope.

The slope is given as:

m = (y2 - y1) / (x2 - x1)

Option A:

m = (5 - 8) / (-4 + 8) = -3 / 4

m = (2 - 5) / (0 + 4) = -3/ 4

The slopes between the consecutive points are same hence option A represents a linear equation.

Similarly, for option B:

m = (1 + 2) / (2 + 1) = 1

m = (4 - 1) / (5 - 2) = 1

Option B is correct.

Option C:

m = (5 - 8) / (1 + 2) = -3 / 3 = -1

m = (2 - 5)/ (4 - 1) = -1

Option C is correct.

Option D:

m = (1- 0)/ (1 + 1) = 1/2

m = (5 - 1) / (7 - 1) = 4 / 6 = 2/3

Option D is incorrect.

Hence, the ordered pairs that represent the linear function is Option A, B and C.

Learn more about linear function here:

https://brainly.com/question/29205018

#SPJ1

Divide.
1.95 -0.5
please answer asap:(

Answers

Answer:

Step-by-step explanation:

3.9

Students sell 80% of the books at a book sale. They sell 48 books in all. How many books are at the book sale?

Answers

Answer:

60 books

Step-by-step explanation:

80% x X = 48

.8x = 48

x = 48 / .8

x = 60

Hope that helps!

Answer:

60 books good luck. hope you do good

NO LINKS!!
a. Identify each sequence as arithmetic, geometric, or neither
b. If it is arithmetic or geometric, describe the sequence generator

n t(n)
0 16
1 9
2 4
3 1
4 0
5 1
6 4

Answers

Answer:

a) Neither,b) t(n) = (n - 4)²

--------------------------------------

We observe that, the sequence is symmetric and all the terms are perfect squares:

16, 9, 4, 1, 0, 1, 4 ⇒ 4², 3², 2², 1², 0², 1², 2²

This is neither arithmetic nor geometric.

The zero term is 16 and the fourth term is 0 so the nth term would be:

t(n) = (n - 4)²

Answer:

a) Neither

b) t(n) = n² - 8n + 16

Step-by-step explanation:

An Arithmetic Sequence has a constant difference between each consecutive term.

A Geometric Sequence has a constant ratio (multiplier) between each consecutive term.

Part (a)

As the sequence has neither a constant difference or a constant ratio, the sequence is neither arithmetic or geometric.

Part (b)

Work out the differences between the terms until the differences are the same:

First differences

$16 \underset{-7}{\longrightarrow} 9 \underset{-5}{\longrightarrow} 4 \underset{-3}{\longrightarrow} 1 \underset{-1}{\longrightarrow} 0 \underset{+1}{\longrightarrow} 1 \underset{+3}{\longrightarrow} 4$

Second differences

$-7 \underset{+2}{\longrightarrow} -5 \underset{+2}{\longrightarrow} -3\underset{+2}{\longrightarrow} -1\underset{+2}{\longrightarrow} 1\underset{+2}{\longrightarrow} 3$

As the second differences are the same, the sequence is quadratic and will contain an n² term. The coefficient of n² is always half of the second difference. Therefore, the coefficient of n² = 1.

Write out the numbers in the sequence n² and determine the operation that takes n² to the given sequence:

$\begin{array}{|c|c|c|c|c|c|c|c|}\cline{1-8} n&0& 1& 2&3 &4 &5 &6 \\\cline{1-8}n^2 &0& 1& 4& 9&16 & 25&36 \\\cline{1-8} \sf operation&+16& +8&+0&-8&-16&-24&-32\\\cline{1-8} \sf sequence & 16&9 &4 & 1& 0& 1& 4\\\cline{1-8}\end{array}$

As the operation is not constant, work out the differences between the operations:

$16\underset{-8}{\longrightarrow} 8\underset{-8}{\longrightarrow} 0\underset{-8}{\longrightarrow} -8\underset{-8}{\longrightarrow} -16\underset{-8}{\longrightarrow} -24\underset{-8}{\longrightarrow} -32$

As the differences are the same, the second operation in the sequence is -8n. Write out the numbers in the sequence with both operations and and determine the operation that takes (n² - 8n) to the given sequence:

$\begin{array}{|c|c|c|c|c|c|c|c|}\cline{1-8} n&0& 1& 2&3 &4 &5 &6 \\\cline{1-8}n^2 -8n&-0&-7&-12&-15&-16&-15&-12\\\cline{1-8}\sf operation &+16&+16&+16&+16&+16&+16&+16\\\cline{1-8} \sf sequence & 16&9 &4 & 1& 0& 1& 4\\\cline{1-8}\end{array}$

As the operation is constant, the final operation in the sequence is +16.

So the equation for the nth term is:

$\implies t(n)=n^2-8n+16$

(4x^2- 10x+9)+(6x-2)-

Answers

Answer:

-2^5

Step-by-step explanation:

Answer:

24^3-52x^2+34x+18

what’s the answer to this mathematical question

Answers

Answer:

Step-by-step explanation:

c=√a²+b²

=√9²+12²

=√9×9+12×12

=√81+144

=√225

=15

please mark as brainliest!!!

help me find the slope please

Answers

Answer:

3/4

Step-by-step explanation:

Ok, so I see that the x-intercept is (4,0), while the y-intercept is(-3,0)

Slope is rise/run

Between these two points, the line rose 3 and horizontally went 4 units to the right. Therefore, the slope is 3/4.

Feel free to tell me if I did anything wrong! :)

Also, if you're still confused, I could explain it another way.

Which function represents a parabola that is translated 2 units to the left and 6 units down from the parent function, f(x)=x^2

Answers

Translation involves moving a function along its coordinates

The image of the function is $g(x) = (x + 2)^2 - 6$

How to determine the new function

The parent function is given as:

$f(x) = x^2$

When the function is translated 2 units left, we have:

$f'(x) = (x + 2)^2$

When the function is translated 6 units down, we have:

$f"(x) = (x + 2)^2 - 6$

Rewrite as:

$g(x) = (x + 2)^2 - 6$

Hence, the image of the function is $g(x) = (x + 2)^2 - 6$

Answers

Answer:

Step-by-step explanation:

How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?

Answers

To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

For more such questions on gross earning.

https://brainly.com/question/29206567

#SPJ8

Did she make an error?
Amelie wants to decorate the outside of the box but not
the bottom. It is a 5 in. by 3 in. by 2 rectangular prism. If
the beads that she is using cost $0.25 per square inch,
how much will she pay for the beads? Her work is shown.
Yes, she should have only added the area of five of
the six faces.
Yes, she did not use the correct area formula for a
rectangle
Ol Yes, she calculated the cost incorrectly.
surface area = 15 + 15 + 6 + 6 + 10 + 10 = 62 in.
cost = 0.25(62) = $15.50
No, she didn't make any errors.

Answers

Answer:

Step-by-step explanation:

The formula for determining the surface area of a cuboid or box is expressed as

Surface area = 2lw + 2lh + 2wh

Where l, w and h represents length, width and height of the box respectively.

2lw represents the area of the top and the bottom of the box. Since she doesn't want to cover the bottom, it becomes lw. Therefore,

Surface area = 15 + 6 + 6 + 10 + 10 = 47 in².

The cost would be

0.25 × 47 = $11.75

Therefore,

Yes, she should have only added the area of five of the six faces.

Answer:

its A

Step-by-step explanation:

Find the volume of 4 in 12 1/8 in 1 1/4 in

Answers

3x1/2=3/2

Mixed number:1 1/2
Decimal 1.5

Show that the set a = (1, 2, 1); b = (0, 1, 0); c = (-2, 0, 2) is linearly dependent.

Answers

By definition of linear independence, the vectors in the set {a, b, c} are independent if

$k_1\vec a+k_2\vec b+k_3\vec c=\vec0$

can only be obtained with the choice of k₁ = k₂ = k₃ = 0.

This vector equation corresponds to the system of linear equations

$\begin{cases}k_1 - 2k_3 = 0 \\ 2k_1 + k_2 = 0 \\ k_1 + 2k_3 = 0\end{cases}$

The first equation says k₁ = 2 k₃, while the third one says k₁ = -2 k₃. This can only be possible if k₁ = k₃ = 0, and from the second equation it follows that k₂ = 0. So the given set is linearly independent (and *not* dependent).

Other Questions

How would each of the following factors likely to affect the economy-wide supply of labor? Show your answers in graphs and briefly explain the rationale. Please help me with the graph for each question (total of 3 graphs), this is my third time posting.Social Security benefits are made less generous.Less people decided to have children.The beginning of the global pandemic of Covis-19 has caused many American workers who work overseas to return to the US (discuss short term and long term effects). Which information would best be displayed using a two-variable data table?A. monthly payments on two different loans with different interest rates and monthly payments B. monthly payments on a loan if the interest rate changes at least every two years C. monthly payments on two different loans if the number of monthly payments are different D. monthly payments on a loan if the interest rate and number of monthly payments change What was the problem in England amongst the poor and why would the Americasbe so attractive to those same people? Need Help!Which of the following activities may be legal but are unethical? Check all of the boxes that apply.A) Cookies deposited by websites collect information about your browsing habits.B) A law enforcement officer asks you to eavesdrop on a friends phone conversations.C) A computer browser records your browsing history.D) You download copyrighted movies and games. 60% of people who purchase sports cars are men. a. if 10 sports car owners are randomly selected, find the probability that exactly 7 are men. b. what is the average and standard deviation? Do political parties promote the public good? Why or why not? how long can the silk be in one single cocoon write equations for #3 SOMEONE PLEASE HELP ME ABC was rotated 90 clockwise about (-2, 1). Find A generally speaking, deserts are located in places where air masses are usually ________. which is not an ultimate concern in existentialism: a freedom and responsibility b existential isolation c meaningfulness d death Choose whether the representation Is or is not a function for the problem and select the reasoning for the answer. Assuming only the lengths of the sides of a triangle are given, how can you determine if the triangle has a right angle? At least ________ ml of urine is usually needed for testing, depending on the test ordered. psilocybin can occasion mystical-type experiences having substantial and sustained personal meaning and spiritual significance why Health care falls into the category of positive rights? FIVE FACTS ABOUT ANCIENT SUMMER? What happens should no presidential candidate receive the majority of electoral college votes?. will give brainliest What is formula of segment?