See photo for problem, please help

See Photo For Problem, Please Help

Answers

Answer 1

Considering the given functions in the graph, we have that:

(f + g)(3) = 4.(f - g)(1) = -2.

How to find (f + g)(3) looking at the graph?

We look at the graph, and find f(3) and g(3), then add them. Hence:

g(3) = 4.f(3) = 0.

Then the addition is:

(f + g)(3) = f(3) + g(3) = 0 + 4 = 4.

As for (f - g)(1):

Same logic, at the graph we have that:

f(1) = -1.g(1) = 1.

Hence:

(f - g)(1) = f(1) - g(1) = -1 - 1 = -2.

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Related Questions

Study the road plan shown in the figure. A service station will be built on the highway, and a road will connect it with Cray. How long will the new road be? A.54.2 mi B. 312 mi C. 46.2 mi D.400 mi

Answers

The length of the road that connects the service station with Cray is 46.2 mi.

How long will the new road be?

We need to apply the principle of similar triangles to obtain the length of the road that will connect the service station with Cray as shown in the image attached.

Hence;

The distance between Alba and Blare = 130 mi

The distance between Alba and Cray = 120 mi

Road connecting the service station with Cray =x

And;

120/130 = x/50

x =  46.2 mi

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What is the domain of the function represented by the graph? A graph shows an upward parabola on a coordinate plane vertex at (minus 4, minus 4) which intercepts axis at (minus 5, 0), and (minus 3, 0) passes through (minus 3, 1), and (minus 2.5, minus 5). all real numbers x ≤ -2 x ≥ -6 x ≥ 4

Answers

Using it's concept, the domain of the function represented by the graph is all real numbers.

What is the domain of a function?

The domain of a function is the set that contains all possible input values for the function.

In this problem, a parabola is used, which has no restriction such as an even root or a fraction, hence the domain is all real values.

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Given a population mean of 56.7, a standard deviation of 4.3, and a sample size of 260, what is the standard error of the mean? round
your answer to the nearest hundredth.
the standard error of the mean is approximately___.

Answers

The standard error of the mean, rounded to the nearest hundredth is 0.27

What is standard error of mean?

The standard error of the mean (SEM) calculates how big of a difference there is between the mean of a sample and the mean of the population.

The square root of the sample size is divided by the standard deviation in order to obtain  the Standard error of mean.

Always, standard error of mean will be smaller than standard deviation.

But a statistical inference based on the sampling distribution is part of the Standard error of mean definition.

According to the question,

Population Mean=56.7

Standard Deviation=4.3

Sample Size=260

Standard Error of mean=4.3/[tex]\sqrt{260}[/tex]

                                       =4.3/16.1245

                                       =0.27

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Answer:

0.27

Step-by-step explanation:

Plato/Edmentum

Can anyone help me solve this
I need it left in terms of pi and pls show work

Answers

Circumference = 10π in, Area = 25π in²

Circumference = 19 π in, Area = 90. 25 π in²

Area = 225 π in²

Circumference = 16π

How to determine the circumference and area

It is important to note that the formula for area and circumference are;

Area = πr^2

Circumference = 2πr

For the first column, we have

radius = 5in

Substitute the values of the radius into the formula

Circumference = 2 × π × 5

Circumference = 10π in

The area;

Area = π × 5 × 5

Area = 25π in²

For the second column,

radius = 9. 5 in

Substitute the values of the radius into the formula

Circumference = 2 × π × 9. 5

Circumference = 19 π in

Area = π × 9. 5 × 9. 5

Area = 90. 25 π in²

For the third column

radius = 15in

Substitute the values of the radius into the formula

Area = π × 15 × 15

Area = 225 π in²

For the fourth column

radius = 8 in

Substitute the values of the radius into the formula

Circumference = 2 × π × 8

Circumference = 16π

From the solved solution, we can see that the shape is a circle.

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If you draw a card with a value of three or less from a standard deck of cards, I will pay you $208. If not, you pay me $35. (Aces are considered the highest card in the deck.) Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.

Answers

The expected value of the proposition which is the net expected outcome is; $20.89.

How to find the expected value?

We are given that;

There is a deck of cards.

There are 3 kinds of cards that have value under 4 (or equal). These 3 cards are 2, 3, 4 and they are in total 4 * 3 = 12 cards.

The probability that we draw such a card = 12/52 = 0.23.

Thus, the probability that we do not draw such a card = 1 - 0.23 = 0.77.

Now, If we play the game once, we will get 0.23 of the times $208 and 0.77 of the times $35.

Thus, the net total expected outcome is: (0.23*208) - (0.77*35)

= $20.89.

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Olympics sports has a markup of $66 on a pair of sneakers. if this is a 37% markup on selling price, find the selling price and the cost as a percent of the selling price.

Answers

Mark up = $66

Mark up on selling price = 37%

Selling price = 37%

Selling price x Mark up percentage = Mark up

Selling price x 37% = 66

Selling price = $178.38

Cost = Selling price - Mark up

= 178.38-66

= $112.38

Cost as a percentage of selling price = Cost / Selling price

= 112.38/178.38

= 63%

The selling charge is how much a purchaser pays for a product or service. it is able to range relying on how tons consumers are inclined to pay, how a whole lot the seller is inclined to just accept, and the way competitive charge is in comparison to other businesses inside the marketplace.

A sale rate is the discounted rate at which goods or services are being offered. This rate is normally offered for a restrained period of time, usually to spur income all through a slow duration or to sell off excess stock. the discount is advertised as a percentage discount from the ordinary listing charge.

Fee rate: the quantity paid to purchase a piece of writing or the fee at which an editorial is made is known as its cost charge. The value fee is abbreviated as C.P. selling price: The rate at which an editorial is sold is called its selling rate. The promoting price is abbreviated as S.P.

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Matthew is flying with his jet pack at 100m/min. A strong wind has blown him 10m east of his intended flight path in 2 minutes. By how many degrees is Matthew off his flight path? Include a diagram.

Answers

Mathew's speed of 100 m/min, and the distance of 10 m. east to which he is blown by the wind gives the angle in degrees Mathew is blown off his path as approximately 2.86°.

How can the angle of deflection be found from the given speeds?

The given parameters are;

Speed at which Mathew is flying = 100 m/min

Distance and direction in which the strong wind blows him = 10 m. east

Time it takes the wind to deflect Mathew by 10 m. = 2 minutes

Therefore;

Speed and direction of the wind = 10/2 m/min east

Speed and direction of the wind = 5 m/min east

Mathew's flight path can be represented using a vector diagram (please see attached drawing)

Distance Mathew travels in 2 minutes = 100 m/min × 2 minutes = 200 m.

Tangent of the angle by which Mathew is off his flight path, A, can be found as follows;

tan(A) = 10/200 = 1/20

A = arctan(1/20) ≈ 2.86°

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Suppose that events E and F are independent, P(E)=0.6, and P(F)=0.7.
What is the P(E and F)?
The probability P(E and F) is
(Type an integer or a decimal.)

Answers

Answer:

Step-by-step explanation:

hello :

P(E and F)=0.7×0.6 =0.42


Find the midpoint between the two points:
(2,3), (4,1)

Answers

Answer:

(3, 2 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (4, 1 ) , then

midpoint = ( [tex]\frac{2+4}{2}[/tex] , [tex]\frac{3+1}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex] , [tex]\frac{4}{2}[/tex] ) = (3, 2 )

In the diagram AB/BC = AD/DE
Substitute the known values into the proportion and solve for DE

Answers

Answer: 9

Step-by-step explanation:

[tex]\frac{2}[3}=\frac{6}{DE}\\\\\frac{3}{2}=\frac{DE}{6}\\\\DE=9[/tex]

According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work

Answers

By using Binomial Distribution the probability that exactly 6 workers take the bus to work is 0.001.

What is Binomial Distribution?

When every experiment shares the probability of achieving a given value, the number of trials or observations is summarised using the binomial distribution.

The likelihood of observing a specific percentage of successful occurrences in a specific number of trials is determined by the binomial distribution.

The formula for binomial distribution is-

[tex]P(X=x)={ }^{n} C_{k} p^{k}(1-p)^{n-k}[/tex]

'p' is the probability of success,

(1-p) is probability of failure,

'n' is the number of workers,

'k' is number of given workers.

According to the question,

Calculate the probability of success as;

[tex]p=\frac{15}{100}=0.15[/tex]

The, the probability of the failure becomes;

[tex](1-p)=1-0.15=0.85[/tex]

Put above two value in formula of binomial theorem to get the value.

[tex]{ }^{10} C_{6}(0.15)^{6}(0.85)^{4}=0.001[/tex]

Therefore, the probability that exactly 6 workers take the bus to work is 0.001.

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Write an equation to represent the following statement.
51 divided by 3 is k


Solve for k.

Answers

Answer:

K = 17

Based on the given conditions, formulate: 

51 / 3 = k

Swap the sides : k = 51 / 3

Cross out the common factor: k = 17

Kashif bought a bicycle for rs 10000 and sold it for rs 8000 his loss percentage is

Answers

Answer:

20%

Step-by-step explanation:

Loss=C.P-S.PLoss=10000-8000Loss=2000Loss%=loss/cp*100Loss%=2000/10000*100Loss%=20%

When you flip a biased coin the probability of getting a tail is 0.47. Find the probability of getting a head.

Answers

Answer:

0.53

Step-by-step explanation:

1 - 0.47 = 0.53

Answer: 0.53

Answer:

0.53 or 53%

Step-by-step explanation:

1 = 100%

1 - 0.47 = 0.53 * 100 (100%) = 53% chance of getting heads.

The sequence of transformations that can be
performed on quadrilateral ABCD to show
that it is congruent to quadrilateral GHIJ is
followed by a-

Answers

First transformation.

Duadrilateral ABCD has vertices with such coordinates:

A(15,10);

B(15,20);

C(20,15);

D(20,5).

Apply a rotation by 90°counterclockwise around point A to this quadrilateral, then

A(15,10)→A'(15,10);

B(15,20)→B'(5,10);

C(20,15)→C'(10,15);

D(20,5)→D'(20,15).

Second transformation.

1. A reflection across the y axis has a rule:

(x,y)→(-x,y).

Then

A'(15,10)→A''(-15,10);

B'(5,10)→B''(-5,10);

C'(10,15)→C''(-10,15);

D'(20,15)→D''(-20,15).

2. A translation 20 units down has a rule:

(x,y)→(x,y-20).

Then

A''(-15,10)→G(-15,-10);

B''(-5,10)→H(-5,-10);

C''(-10,15)→I(-10,-5);

D''(-20,15)→J(-20,-5).

Answer: first blank -B, second blank - B.

Which equation is the inverse of 5y+4= (x+3)²+?
0 y = x ² +
O
5
Oy=3±15x+
7
O y=-3±5x
11
10
O-5y-4--(x+3)²-1
72
4

Answers

Answer:eq

Step-by-step explanation:

Sally's balance on her credit card is $75.00 on the first day of august. she makes a payment of $18.00 on august 17 and
a new purchase of $41.00 on august 29. the annual interest rate is 21.25%. what is sally's average daily balance and
finance charge for the month of august?

Answers

The average daily balance for the month was $84.21, and the finance charge for the month was $30.13.

Averages

Given that Sally's balance on her credit card is $75.00 on the first day of August, and she makes a payment of $18.00 on August 17 and a new purchase of $41.00 on August 29, and the annual interest rate is 21.25%, to determine what is Sally's average daily balance and finance charge for the month of August, the following calculation must be made:

75 x ((21.15/12 x 16) / 100) + 75 = A = 86.8957 x ((21.15/12 x 13) / 100) + 57 = B = 70.0698 x ((21.15/12 x 3) / 100) + 98 = C = 103.18(86.89 x 16 + 70.06 x 13 + 103.18 x 3) / 31 = X84.21 = X86.89 + 70.06 + 103.18 - 75 - 57 - 98 = Y30.13 = Y

Therefore, the average daily balance for the month was $84.21, and the finance charge for the month was $30.13.

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Please please answer following question and show work

Answers

The y-intercept of the function f(x) is (0, 10/3)

The limits of the function

The function is given as:

[tex]f\left(x\right)=\frac{30}{1+2^{3-x}}[/tex]

As x approaches infinity, we have:

[tex]\lim_{x \to \infty} \frac{30}{1+2^{3-x}}[/tex]

This gives

[tex]\lim_{x \to \infty} \frac{30}{1+2^{3-\infty}}[/tex]

[tex]\lim_{x \to \infty} \frac{30}{1+2^{-\infty}}[/tex]

Evaluate

[tex]\lim_{x \to \infty} \frac{30}{1}[/tex]

[tex]\lim_{x \to \infty} 30[/tex]

As x approaches negative infinity, we have:

[tex]\lim_{x \to -\infty} \frac{30}{1+2^{3+x}}[/tex]

This gives

[tex]\lim_{x \to -\infty} \frac{30}{\infty}[/tex]

Evaluate

[tex]\lim_{x \to -\infty} 0[/tex]

Hence, the limits of the function are [tex]\lim_{x \to \infty} 30[/tex] and [tex]\lim_{x \to -\infty} 0[/tex]

The horizontal asymptote

Remove the denominator

f(x) = 30

Also, set the numerator to 0

f(x) = 0

Hence, the horizontal asymptotes are y = 30 and y = 0

The y-intercept

Set x = 0

[tex]f\left(0\right)=\frac{30}{1+2^{3-0}}[/tex]

Evaluate

[tex]f\left(0\right)=\frac{30}{9}[/tex]

Divide

[tex]f\left(0\right)=\frac{10}3[/tex]

Hence, the y-intercept is (0, 10/3)

How the numerator is related to (b)

The numerator of f(x) is 30.

In (b), we have

The horizontal asymptotes are y = 30 and y = 0

This means that the horizontal asymptotes and the numerator are the same

The graph

See attachment for the graph of f(x)

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A researcher records the hospital admission rates for coronary heart disease at 10 local hospitals. She finds that 2 different hospitals had the highest overall rates of hospital admissions. Which measure of central tendency did this researcher use to describe these data

Answers

The central tendency researcher use to describe these data is "mode".

What is mode?

The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.

Calculation of mode is done by-

The number that appears the most frequently in a piece of data is its mode. Put the numbers in ascending order by least to greatest, then count the occurrences of each number to quickly determine the mode. The most frequent number is the mode.Simply counting how many times each number appears in the data set can help you identify the mode, which is the number that appears the most frequently in the data set. The figure with the largest total is the mode.Example: Since it happens most frequently, the mode for the data set [5, 7, 8, 2, 1, 5, 6, 7, 5] is 5.

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A population of protozoa develops with a constant relative growth rate of 0.469 per member per day. On day zero the population consists of five members. Find the population size after eight days.

Answers

If the growth rate is 0.469 per member per day and in the beginnning there are 5 members then the population size after eight days is 108.42.

Given growth of population of protozoa 0.469 per member per day and population in beginninng is 5 members.

We have to find the population afte eight days.

First of all we have to find the function or equation showing sum of population after t days.

Because it is given that the rate is 0.469 per member per day it means it is like compounding.

The equation which shows the sum after compounding is P[tex](1+r)^{n}[/tex]

where P is the amount in beginning, r is the rate and n is the number of years.

In this problem the equation will be 5[tex](1+0.469)^{t}[/tex] where t is number of days.

We have to put the value of t=8 to find the population after 8 days=

=5[tex](1.469)^{8}[/tex]

=5*21.68

=108.42

Hence the population of protozoa after 8 days is 108.42.

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The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches

Answers

The surface area of a rectangular prism is found as 150 square inches.

What is rectangular prism?

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces make up a rectangular prism, and each face has a rectangle shape and twelve edges.

Actually, prisms get their name from the way their faces are shaped. Therefore, a rectangular prism is just a prism with rectangular faces. Although it is a closed, three-dimensional object, two rectangles serve as its foundation.

Calculation for the surface area of rectangular prism-

Height of a rectangular prism => H = 4 inches

Width of a rectangular prism => B = 9 inches

Length of a rectangular prism => L = 3 inches

Surface area of a rectangular prism = 2(LB + BH + HL)

                                                           = 2(9×3 + 9×4 + 4×3)

                                                           = 150

Therefore, the surface area of a rectangular prism is found as  150 square inches.

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Here is a list of numbers: 13, 15, -6, 8, -16, 2, -12 ,3 ,-18 ,-18 state the median.

Answers

The median of list of numbers is-2.

Given the list of numbers is 13,15,6,8,-16,2,-12,3,-18,-18.

The median is the median of a sorted list of numbers. To find the median of a sequence of numbers, the numbers must be sorted in order from lowest to highest or highest to lowest.

Firstly, we will arrange the number from ascending to descending, we get

-18,-18,-16,-12,-6,2,3,8,13,15.

Now, we will find the middle term of the sequence, we get

The middle terms are -6 and 2.

Further, we will find the median of it.

n=(-6+2)/2

n=-4/2

n=-2

Hence, the median of the list of numbers 13, 15, -6, 8, -16, 2, -12 ,3 ,-18 ,-18 is -2.

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PLEASE HELP QUICK!!!!
Bernie borrowed b books from his friend Grant's collection of 29 books. What does the expression 29 - b represent?

Answers

answer:
the amount of books grant has left

explanation:
if you take away b books, he is left with 29-b books

The sum of the series below is 10,900. how many numbers, n, are in the series? 19 20.5 22 23.5 ... 181

Answers

There are 109 terms in given series.

According to the statement

we have given that the sum of series is AP series and

This is 19 20.5 22 23.5 ... 181

And the sum of series is 10,900

Now, we have to find the number of terms in the series.

Then we use the summation formula which is

S = n/2 (a + L)

Substitute the all given values in it like

L = 181

A = 19 and S= 10,900

then

10,900= n/2(19+181)

10,900= n/2(200)

After solve the equation for n

10,900= 100n

n = 10,900 / 100

n = 109

There are 109 terms in given series.

So, There are 109 terms in given series.

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Pls, can someone help me? (whoever helps me gets BRAINLEIST)

Answers

Answer:

25 people

Step-by-step explanation:

These are the pieces of information we know.

- 1/6 who came to the restaurant ordered fish tacos

- There were 30 customers in total

- We need to find the number of people who did not order fish tacos

1. The number of people who ordered fish tacos can be expressed as: 30 x 1/6, which is 5. We know that 5 people ordered fish tacos.

2. Since we want to know the number of people who didn't want fish tacos, we take 5 away from 30: 30 - 5, which is 25.

25 people did not order fish tacos on Tuesday.

Which of the following statements about the scatter plot and the line of best fit are accurate? Select all that apply.

Answers

Answer:

- There are more points above the line than below

- This is not a line of best fit

Step-by-step explanation:

       If we count the data points above and below the line, we can see there are about 4 below and 11 above. This means there are more points above the line than below. Since there are more points above the line than below, this is not a line of best fit.

What is the minimum value of c = 7x 8y, given the constraints on x and y listed below?

Answers

The minimum value of c = 7x + 8y is 42. The minimum value is obtained at point (6, 0).

How to calculate the minimum value?

To calculate the minimum value of the given equation w.r.t the given constraints(inequalities), the steps are:

Step 1: Identify the system of inequalities in the given constraints

Step 2: Graph those inequalities

Step 3: Identify the maximum and minimum values of x and y that satisfy the given inequalities

Step 4: Then, with the obtained coordinates solve the given equation to get the minimum value.

Calculation:

The given equation is C = 7x + 8y, and the constraints list is

2x + y ≥ 0

x + y ≥ 6

x ≥ 0

y ≥ 0

Graphing these inequalities and shading the region that satisfies the given inequalities.

So, from the graph,

the x-values that satisfy all the given inequalities are [6, ∞]

the y-values that satisfy all the given inequalities are [0, ∞]

So, the required coordinate is (6, 0). By this, we can calculate the minimum value of the given equation C = 7x + 8y

Then,

C = 7(6) + 8(0) = 42 + 0 = 42

Thus, the minimum value of the given equation is 42.

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Disclaimer: The given question is incomplete. Here is the complete question.

Question: What is the minimum value of c = 7x 8y, given the constraints on x and y listed below?

2x + y ≥ 0

x + y ≥ 6

x ≥ 0

y ≥ 0

If the parent function is \root(3)(x), describe the translation of the function y=\root(3)(x+4)-3

Answers

The parent function moves 4 units right and 3 units down. This is a translation by the vector.

According to the question,

Transformation [tex]\sqrt[3]{x}[/tex] maps  onto [tex]\sqrt[3]{x+4} -3[/tex] . Take f(x) =  [tex]\sqrt[3]{x}[/tex] and f(x+4)=[tex]\sqrt[3]{x+4}[/tex].

f(x) =  [tex]\sqrt[3]{x}[/tex]

f(x+4)=[tex]\sqrt[3]{x+4}[/tex]

f(x+4) - 3=[tex]\sqrt[3]{x+4}[/tex] - 3

Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.

Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.

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prove that if r is a matrix in echelon form, then a basis for row(R) consists of the nonzero rows of R

Answers

Let [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex] be the nonzero rows of [tex]$R$[/tex] starting from the 1st row to the [tex]k[/tex]th row.

Step 1: We want to show that

R(R)= span [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex]

For any vector [tex]v $$\in \mathcal{R}(R)$$[/tex], We may write

v= [tex]$$c_{1} \boldsymbol{r}_{1}+c_{2} \boldsymbol{r}_{2}+\cdots+c_{k} \boldsymbol{r}_{k}+c_{k+1} \mathbf{0}+\cdots+c_{m} \mathbf{0}$$[/tex]

Then v= [tex]$$c_{1} r_{1}+c_{2} r_{2}+\cdots+c_{k} r_{k}$$[/tex]

So [tex]v[/tex] belongs to span{ [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex]}

Thus R(R)[tex]\leq[/tex] Span [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex]

But trivially,

span [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex]≤ span{[tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex], 0, . . . , 0} = R(R),

span [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex]=R(R)

Step 2: We want to show that  [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex]are linearly independent. Suppose otherwise,

then we can write

[tex]$$c_{1} \boldsymbol{r}_{i_{1}}+\cdots+c_{\ell} \boldsymbol{r}_{i_{\ell}}=\mathbf{0}$$[/tex]

From Steps 1 and 2, we have proven that the nonzero rows of R form a basis for the row space.

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what is the volume of the prism pls help

Answers

The volume of the rectangular prism is 8 1 / 8 units³

Volume of a rectangular prism?

volume of a rectangular prism = lwh

where

l = lengthw = widthh = height

Therefore,

volume of a rectangular prism = base area × height

volume of a rectangular prism = 16 1 / 4 × 1 / 2

volume of a rectangular prism = 65 / 4 × 1 / 2

volume of a rectangular prism =  65 / 8

volume of a rectangular prism =  8 1 / 8 units³

learn more on volume here: https://brainly.com/question/12420093

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