for each of the following pairs of matrices, find an elementary matrix e such that ea = b.

Beth's rate of travel is 2.2 meters per second and Amy's line is steeper

From the question, we have the following parameters that can be used in our computation:

The table of values

See attachment for the graph

From the graph, we have

Beth's rate of travel = 2.2 meters per second

This is so because from the graph:

As x increases by 1. y increases by 2/2

Here, we have

Amy's rate of travel = 75/30 meters per second

Evaluate

Amy's rate of travel = 2.5 meters per second

The higher the rate, the steeper the line

This means that Amy's line is steeper

Read more about speed at

https://brainly.com/question/24571540

#SPJ1

Answer:

If students understand the basic proof on general laws of logarithm then it will be easie. ... loga (MN) = x + y = loga M + loga N [putting the values of x and y] ... a on both sides of the change of base rule formula [loga M = logb M × loga

Step-by-step explanation:

yall i think i got this wrong

even if it is to anyone who needs it just copy it lol

The formula given in the question is Doughnuts are T=4 B+ 10C.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

The given question is Doughnuts are sold in bags and cartoons.

It contains 4 bags of  Doughnuts and cartoon hold 10 Doughnuts.

According to given question we have

Let the total Doughnuts be T.

Let the bags of Doughnuts be B

Let the carton of Doughnuts be C.

1 bags of Doughnuts = B

4 bags of Doughnuts =4 B

1 carton of Doughnuts = C.

10 carton of Doughnuts = 10C.

To write the formula we gave,

T=4 B+ 10C.

Therefore, the formula given in the question is Doughnuts are T=4 B+ 10C.

Learn more details about algebra here:

https://brainly.com/question/24875240

#SPJ1

The answer of this will be \(6\) .

Addition is a mathematical operation that represents combining objects t into a larger collection. It is signified by the plus sign (+). Subtraction is  a mathematical operation that represents process of finding the difference between numbers or quantities. It is signified by the minus sign (-)

We have,

In first line, we have

Two Red pencil \(+\) One Red And Blue Pencil \(=21\)   \(.........\) First Row

Red pencil \(-\) Blue pencil \(=3\)     \(.........\) Second Row

Red Pencil and Blue Pencil \(= 15\)     \(.........\) Third Row

Blue Pencil \(+\) Blue Pencil \(= \ ?\)      \(.........\) Fourth row

We have,

From Second row ,

We will choose two numbers which have difference of \(3\),

Let, \(6\) and \(3\)

i.e.

Red Pencil \(= 6\)

Blue Pencil \(= 3\)

So,

Red pencil \(-\) Blue pencil \(=3\)

      \(6-3=3\)

It means that the numbers we choose are best fir for the values of pencils.

Now, Put values of these pencil in Fourth row,

Blue Pencil \(+\) Blue Pencil \(= \ ?\)  

\(3+3=6\)

So, the values of the the Two  blue Pencil will be \(6\).

Hence, we can say that the answer of this will be \(6\) .  .

To know more about Addition and Subtraction click here

https://brainly.com/question/6840118

#SPJ3

The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.

The above statement is True.

Eigenvalue:

An eigenvalue is a special set of scalar values ​​associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.

According to the Question:

If the geometric multiple of the eigenvalues ​​is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.

Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is

Ax = λx.

Learn more about Eigenvalue:

https://brainly.com/question/29749542

#SPJ4

Answer:

B. A slide of the figure

A translation of a figure can be considered a slide of the figure. Option A is correct.

Statement to justify what a translation of a figure can be considered as.

A. A turning of the figure about some fixed point,  B. A slide of the figure

C. An enlargement or a reduction of the figure, D. A mirror image of the figure

A translation is defined as a type of conversion that takes an individual point in a figure and slides it the same distance in the same direction.

Clearly from the above definition, A translation of a figure can be considered as a slide of the figure.

Thus, a translation of a figure can be considered a slide of the figure. Option A is correct.

Learn more about translation here:
https://brainly.com/question/12463306

#SPJ2

Therefore, the 90% confidence interval for the mean height of the population of female runners is (64.77, 66.83) inches.

A confidence interval is a range of values that provides an estimate of the unknown population parameter with a certain level of confidence. The confidence level represents the percentage of times that the true population parameter will be contained within the interval, based on repeated sampling.

a) Using a t-distribution with 11 degrees of freedom (n-1), and a 90% confidence level, the t-value is 1.796.

The left boundary of the confidence interval is:

65.80 - (1.796 * (1.95 / √(12))) = 64.77 inches (rounded to two decimal places)

b) The right boundary of the confidence interval is:

65.80 + (1.796 * (1.95 / √(12))) = 66.83 inches (rounded to two decimal places)

To know more about confidence interval,

https://brainly.com/question/24131141

#SPJ11

Based on the rating factor of 75%, the normal time for the job element would be 11.19 seconds.

When given the rating factor, the normal time can be found as:

= Average time for the job element x Rating factor

Average time for the job factor is:

= [(10 x 18) + (15 x 25) + (20 x 17)] / (18 + 25 + 17)

= 14.92 seconds

The normal time for the job element is therefore:

= 14.92 x 0.75

= 11.19 seconds

Find out more on job element's normal time at https://brainly.com/question/19952926

#SPJ4

there are 4,200 possible distributions of the 10 different types of cookies among Anthony, Misha, and Lizard, considering the given conditions.

To determine the number of possible distributions of the 10 different types of cookies among Anthony, Misha, and Lizard, we can use combinatorial analysis.

First, let's consider the distribution of 3 cookies to Anthony. Since there are 10 cookies to choose from, the number of ways to select 3 cookies for Anthony is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 10 * 9 * 8 / (3 * 2 * 1) = 120

Next, we consider the distribution of 3 cookies to Misha. Since there are 7 remaining cookies after Anthony's selection, the number of ways to select 3 cookies for Misha is:

C(7, 3) = 7! / (3! * (7 - 3)!) = 7! / (3! * 4!) = 7 * 6 * 5 / (3 * 2 * 1) = 35

Finally, the remaining 4 cookies are automatically assigned to Lizard.

To find the total number of possible distributions, we multiply the number of ways to distribute the cookies to Anthony, Misha, and Lizard:

Total number of possible distributions = 120 * 35 = 4,200

Therefore, there are 4,200 possible distributions of the 10 different types of cookies among Anthony, Misha, and Lizard, considering the given conditions.

Learn more about Distribution here

https://brainly.com/question/32623906

#SPJ4

Answer:

1

Step-by-step explanation:

1 / 3-x

x - 2/x - 3

(x - 2)/x - 3

-3/x - 3

(x - 2) + -1/x - 3

= x - 3/x - 3

Cancel

= 1

The maximum possible outcome for the given situation is 36.

The number of favorable events to all the events in an experiment is the ratio that makes up the probability formula. Theoretical probability, Experimental probability, and Axiomatic probability are the three categories into which probability can be divided.

Given, Ruby is designing a new board game and is trying to figure out all the possible outcomes. she flips a coin, rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, and spins a spinner with three equal-sized sections labeled Walk, Run, Stop.

Since there are three things happening simultaneously and favorable moments will be chosen by all three.

Thus Maximum possible outcome = 2 * 6 * 3 = 36

Therefore, For the given situation, 36 outcomes are available in total.

Learn more about the probability here:

https://brainly.com/question/13012411

#SPJ1

Answer:

8 balloons

Step-by-step explanation:

We want to find how many she kept for herself.

She brought 24 balloons to the picnic.

She gave 1/3 to Karen.

She will be left with 2/3 of the balloons:

2/3 * 24 = 16

She will be left with 16 balloons.

She gave 1/2 of what was left to Tim. She will be left with 1/2 of the balloons:

1/2 * 16 = 8

She will be left with 8 balloons.

The percentage of the glass that remains empty is 34 percent.

A 330ml can of soda is poured into a 1 / 2 litres glass.

Therefore, the percentage of the glass that remains empty can be calculated as follows:

Hence,

330 ml = 0.33 litres

Therefore,

percentage of the glass that remains empty = 0.5 - 0.33 / 0.5 ×100

percentage of the glass that remains empty = 0.17 / 0.5 × 100

percentage of the glass that remains empty = 17 / 0.5

percentage of the glass that remains empty = 34%

learn more on percentage here: https://brainly.com/question/31940072

#SPJ1

Answer:

\(9\frac{4}{9}\)

Step-by-step explanation:

we can just disregard the whole numbers first and then go focus on 2/9 + 2/9

Since these already have Similar denominators we just add the numerators

2/9+2/9

4/9 and now we add the whole numbers 5 +4

9

And put that next to the fraction

9 4/9

Hopes this helps please mark brainliest

Answer:  9 4/9

Step-by-step explanation:

\(5 \frac{2}{9} + 4 \frac{2}{9} = 5 + 4 + \frac{2}{9} + \frac{2}{9} = 9 + \frac{2 + 2}{9} =9 \frac{4}{9}\)

Step-by-step explanation:

first we come up with a formulae:
Amount of money saved = 2.25+0.25x,

where x is the number of days

Answer:

1. 7.75 = 2.25 + 0.25(x)

7.75 - 2.25/ 0.25 = x

x = 20

2. 2.25+0.25(25) - 2.25 +0.25(14)

= 9.75

3. 2.25 + 0.25(10)

= 4.75

I hope i explained it well...

( i ) 21st day he saves 7.75

(ii) the difference between the amount saved by Rajiv on the 25th day and the 14th day is 2.75 rupees.

(iii) the sum of the amount saved in the first 10 days is 5 rupees.

Solution: (i)  given: on each succeeding day he increases his saving by 25 paise.

                2.75 rupees he saves on the  first day

        so    = 2.75 +(0.25×20)

                = 2.75+5

                = 7.75 rupees

         (ii)   amount saved by Rajiv on the 25th day is:

                = 2.75+(0.25×24)

                = 2.75 + 6

                = 8.75

               amount saved by Rajiv on the  14th day is :

                =2.75+(0.25×13)

                =2.75+3.25

                =6

therefore the difference between Rajiv' saving on the  25th day and the  14th day   is :         =   8.75-6                                    

                     =     2.75

          (iii)   the sum of the  amount saved in the first 10 days is :

                =  2.75+(0.25 ×9)  

                =  2.75+2.25

               =   5          

To learn  more about increasing,

https://brainly.com/question/9924516

The radius of the circle which is overlapping the square is 1.12.

The length of side of the square is 2. Let us say that the radius of the circle is R.

The circle and the square are overlapping on each other.

The area of the region that are outside the circle but inside the square are equal to the area of the region which are inside the circle but outside the square.

Let us name the area of the region that are outside the circle but inside the square as M.

Let us name the area of the region which are inside the circle but outside the square as N.

Let us say that the area that is common in both is C.

The area of the square is 4.

So, according to the question,

M + C = 4

And,

N + C = πR²

And we know, M = N,

So,

C - πR² = C - 4

R = 2/√π

R = 1.12.

So, the radius of the circle is 1.12

To know more about radius of circle, visit,

https://brainly.com/question/390660

#SPJ4

Therefore, the value of x that will make the triangles similar by the SSS similarity theorem is approximately 73.51.

To determine the value of x that will make the triangles similar by the SSS (Side-Side-Side) similarity theorem, we need to identify the corresponding sides of the triangles and set up a proportion.

Let's denote the corresponding sides of the two triangles as follows:

Triangle 1: Side A = 15, Side B = 59, Side C = 77

Triangle 2: Side A' = 9, Side B' = x, Side C' = 96

According to the SSS similarity theorem, for two triangles to be similar, the ratios of the corresponding sides must be equal.

Therefore, we can set up the following proportion:

A / A' = B / B' = C / C'

Substituting the given values, we have:

15 / 9 = 59 / x = 77 / 96

To find the value of x, we can solve the second equation in the proportion:

59 / x = 77 / 96

Cross-multiplying, we get:

59 * 96 = 77 * x

Simplifying further:

5664 = 77x

Dividing both sides by 77:

x = 5664 / 77

Calculating this value:

x ≈ 73.51

To know more about triangles,

https://brainly.com/question/4353614

#SPJ11

The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

for more such question on average visit

https://brainly.com/question/130657

#SPJ8

Answer:

1.8hours

Step-by-step explanation:

We can start by using the formula for inverse variation:

time = k/ratewhere k is the constant of variation.

To find k, we can use the given information that a jet can cover 1000 miles in 2 hours at 500 mph:

2 = k/500

Solving for k, we get:

k = 1000

Now we can use this value of k to find the time to cover 1000 miles at 550 mph:

time = 1000/550time ≈ 1.8 hours (rounded to the nearest tenth)

Therefore, it would take approximately 1.8 hours to cover 1000 miles at 550 mph.

Answer:

1.8

Step-by-step explanation:

Answer:

0cm

i think the the area doesn't exist

Step-by-step explanation:

soln:

given:

a=8cm

b=16cm

area of triangle ABC(A)=?

here,

A=b/4√4a^2-b^2

or,A=16/4√4(8)^2-(16)^2

or,A=4√4*64-256

or,A=4√256-256

or,A=4√0

or,A=4*0

•°•A=0cm

Answer:n=-17

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Square roots have a neat property: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\) provided a and b are positive real numbers.

This property is what's behind simplifying square roots.  You look for perfect square factors (4, 9, 16, 25, 36, ...) inside the square root sign.

Example: \(\sqrt{20}=\sqrt{4\times5}=\sqrt{4}\sqrt{5}=2\sqrt{5}\).

In this problem, both factors are perfect squares.

\(\sqrt{9\times144}=\sqrt{9}\sqrt{144}=3\times12=36\)

Answer:

Solution given:

\( \sqrt{9 \times 144} \)

\( \sqrt{3² \times 12²} \)

±(3*12)

±36 is a required answer.

We are given two figure, i) Cube, ii) rectangular box

The volume of any shape is calculated by multiplying height, width, length.

Volume = height x length x width

In the case of a cube, all the dimensions are the same. So volume would be = length x length x length

here, length = 6

So,

V(cube) = 6^3

For a rectangular box:

V(rect) = height x length x width

V(rect) = h x 12 x 6

As given, V(cube) = V(rect). Therefore,

6^3 = h x 12 x 6

Hence, the first option is correct.

In order to generate a divided clock, we have to use a clock divider in verilog which can be implemented using a counter. A counter is a hardware device used for counting the number of events occurring and generating output pulses for specific count values. There are two types of counters: synchronous and asynchronous.

In synchronous counters, all the flip-flops change their states simultaneously with respect to the clock signal. In asynchronous counters, all the flip-flops change their states independently of each other, and do not depend on the clock signal. In the context of the question, we have to implement an n-bit binary synchronous counter to generate a divided clock.

The output of the counter can be used as a clock signal for other modules or devices in the system. The value of n determines the maximum count value of the counter, and hence the frequency of the generated clock signal. The value of n is calculated using the following equation: n = log2 (N)where N is the desired count value of the counter.

To know more about generate visit:

https://brainly.com/question/12841996

#SPJ11

The arrangement of expressions from least to greatest is c, a and b

The given expressions are

a. 4-6

b. -4+6

c. -4-6

We need to arrange from least expression to greatest

What is Ascending Order?

The arrangement of numbers from least to greatest

Solve a, b and c expressions

a. 4-6=-2

b. -4+6=2

c. -4-6=-10

We know that -10<-2<2

Therefore the arrangement of expression from least to greatest is c, a and b

To learn more about ascending order click here: https://brainly.com/question/19597155

#SPJ2

Answer:

The answer is $900

Step-by-step explanation:

A)The first partial derivatives of w at (1, -1, 0) are ∂w/∂x = -e²0 = -1,∂w/∂y = 1 × e²0 = 1,∂w/∂z = 1 ²(-1) ×e²0 = -1

B)The directional derivative of w at (1, -1, 0) along direction function is v = i + 2j + 2k is -1/3.

C)The expression for ∂w/∂t, without simplification, is 2(s - 2t)e²(3st) - 2(s + 2t)e²(3st) + 9s²s + 2t)(s - 2t).

To find all the first partial derivatives of w at (1, -1, 0), to find the partial derivatives with respect to each variable separately.

Given function: w = xy × e²z

∂w/∂x: Differentiating with respect to x while treating y and z as constants.

∂w/∂x = y × e²z

∂w/∂y: Differentiating with respect to y while treating x and z as constants.

∂w/∂y = x ×e²z

∂w/∂z: Differentiating with respect to z while treating x and y as constants.

∂w/∂z = xy ×e²z

(b) To find the directional derivative of w at (1, -1, 0) along the direction v = i + 2j + 2k,  to calculate the dot product of the gradient of w at (1, -1, 0) and the unit vector in the direction of v.

Gradient of w at (1, -1, 0):

∇w = (∂w/∂x, ∂w/∂y, ∂w/∂z) = (-1, 1, -1)

Unit vector in the direction of v:

|v| = √(1² + 2² + 2²) = √9 = 3

u = v/|v| = (1/3, 2/3, 2/3)

Directional derivative of w at (1, -1, 0) along direction v:

Dv(w) = ∇w · u = (-1, 1, -1) · (1/3, 2/3, 2/3) = -1/3 + 2/3 - 2/3 = -1/3

(c) To find ∂w/∂t using the chain rule,  to substitute the given expressions for x, y, and z into the function w = xy × e²z and then differentiate with respect to t.

Given: x = s + 2t, y = s - 2t, z = 3st

Substituting these values into w:

w = (s + 2t)(s - 2t) × e²(3st)

Differentiating with respect to t using the chain rule:

∂w/∂t = (∂w/∂x) × (∂x/∂t) + (∂w/∂y) ×(∂y/∂t) + (∂w/∂z) × (∂z/∂t)

Let's calculate each term separately:

∂w/∂x = (s - 2t) × e²(3st)

∂x/∂t = 2

∂w/∂y = (s + 2t) × e²(3st)

∂y/∂t = -2

∂w/∂z = (s + 2t)(s - 2t) × 3s

∂z/∂t = 3s

Now, substitute these values into the equation:

∂w/∂t = (s - 2t) × e²(3st) × 2 + (s + 2t) × e²(3st) ×(-2) + (s + 2t)(s - 2t) × 3s × 3s

∂w/∂t = 2(s - 2t)e²(3st) - 2(s + 2t)e²(3st) + 9s²(s + 2t)(s - 2t)

To know more about function here

https://brainly.com/question/28193995

#SPJ4

Step-by-step explanation:

1)

y=0.7 x -2

2)

y=-0.5x + 1.5

Answer:

the total number of calories in the jar of peanut butter, x, and the total number of calories in the jar of jelly, y

The difference in the total number of calories in a jar of peanut butter and a jar of jelly is 3,545

Now we use total calories ,which was 2/23 of the jar of peanut butter and 2/33 of the jar of jelly

x minus y = 3545 and StartFraction 2 Over 23 EndFraction x + StartFraction 2 Over 33 EndFraction y = 430

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I think it is I'm very sorry if it's wrong :)