NEED HELP ASAP PLEASEEEEEEEEE PIC BELOW PLEASE HELP ASAP

The stretch factor (eigenvalue) associated with the line 1 1 1 is k, where k is the value that satisfies the equation T(1,1,1) = k(1,1,1).

If the line 1 1 1 is a stretch direction for the linear transformation T, then the corresponding stretch factor (eigenvalue) is the factor by which points along that line are scaled.

Let k be the stretch factor (eigenvalue) associated with the line 1 1 1. Then, we know that T(1,1,1) is parallel to the line 1 1 1 and is equal to k(1,1,1).

In other words, we have:

T(1,1,1) = k(1,1,1)

Now, since the line 1 1 1 is a stretch direction, we know that the transformation T stretches points along this line. Therefore, any scalar multiple of the line 1 1 1 must also be a stretch direction with the same stretch factor k.

For example, the line 2 2 2 is a scalar multiple of the line 1 1 1, so it is also a stretch direction with the same stretch factor k. We can verify this by checking that T(2,2,2) is parallel to the line 2 2 2 and is equal to k(2,2,2):

T(2,2,2) = T(2(1,1,1)) = 2T(1,1,1) = 2k(1,1,1) = k(2,2,2)

Therefore, we can conclude that the stretch factor (eigenvalue) associated with the line 1 1 1 is k, where k is the value that satisfies the equation T(1,1,1) = k(1,1,1).

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Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.

Danielle pays a monthly charge of $69 for her cable bill.

She also pays a fee every time she watches a movie on demand.

Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.

We have to find the monthly charge for Danielle's cable bill to choose.

Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.

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Using the Fundamental Counting Theorem, the number of possible sequences of eight coin faces is of 256.

It is a theorem that states that if there are n things, each with  ways to be done, each thing independent of the other, the number of ways they can be done is:

In this problem, there are 8 events, each with 2 possible outcomes, hence:

Hence, the total number of sequences is given by:

Hence, the total number of sequences is given by:

.

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Answer:

The length of the road road servicing the north edge is 4 miles

Step-by-step explanation:

The given information are;

The shape of the land Roo has = Square, with all sides equal

The size of the land Roo has = 16 miles²

The number of houses Roo is building along the north edge = 12 houses

The number of roads servicing the north edge = 1 road

Therefore, the length of the road road servicing the north edge = The length of the north edge

The length of the north edge = The length of the side of the square

The length of a side of a square = √(Area of the square)

The length of a side of the square plot of land = √(Area of the square plot of land)

∴ The length of a side of the square plot of land = √(16 miles²) = 4 miles

The length of the north edge = The length of the side of the square plot of land = The length of the north edge = the length of the road road servicing the north edge = 4 miles

The length of the road road servicing the north edge = 4 miles.

The total length of the fence is 24 meters. Then the total cost of the fence will be £30.72.

Given that:

Rate, r = £1.28 per metre

The length of the fence is calculated as,

P = 10 + 6 + 8

P = 24 meters

Then the total cost of the fence will be calculated as,

Total cost = P x r

Total cost = 24 x £1.28

Total cost = £30.72

The total length of the fence is 24 meters. Then the total cost of the fence will be £30.72.

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The missing diagram is given below.

Answer:

2,778 in³

Step-by-step explanation:

Volume cube

v = 18³

v = 5,832

Volume sphere

v = (4/3)π9³

v = 3,053.6280592893

Volume space

v = 5,832 - 3,053.6280592893

v = 2,778.3719407107

2,778 in³

Answer:

Step-by-step explanation:

We need to first find the volume of the cube, then subtract from it the volume of the sphere. This is what we are being asked to find. First, the volume of the cube is length times width times height. Since this is a cube, all of the sides are the same length, making the volume

V = 18³ so

V = 5832 inches cubed. Now for the sphere.

The formula for the volume of a sphere is

\(V=\frac{4}{3}\pi r^3\) and we will use 3.1415 for π.

\(V=\frac{4}{3}(3.1415)(9)^3\) which gives us

V = 3053.538

Subtracting the volume of the sphere from the volume of the cube:

V = 5832 - 3053.538

V = 2778.462 inches cubed

Answer:

Step-by-step explanation:

The graph that best describes the solution set of the inequality 6x ≤ 18 is given as follows:

First graph.

The inequality in the context of this problem is defined as follows:

6x ≤ 18.

The solution to the inequality is obtained similarly to an equality, isolating the desired variable, hence:

x ≤ 18/6

x ≤ 3.

Due to the equal sign, at x = 3 we have a closed circle, and the graph is composed by the points to the left of the closed circle at x = 3, hence the first graph is the solution to the inequality.

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Answer:

A ÷ (WH)

Step-by-step explanation:

Answer:

300.00$

50$ per month

6 months

50x6

Answer:

$30

Step-by-step explanation:

100+ the twenty you got off is 120 and dvide 120/4=30   I am either making this way to easy or just dont understand lol

The minimum yield value of the key material should be determined based on the yield stress of the shaft, which is 36 kg/m², the dimensions of the key, and the safety factor of 2.

To ensure that the key smoothly transmits the torque of the shaft, it is essential to choose a key material with a minimum yield value that can withstand the applied forces without exceeding the yield stress of the shaft.

The dimensions of the key given are 20x20x120 mm. To calculate the torque transmitted by the key, we need to consider the dimensions and the applied forces. However, the specific values for the applied forces are not provided in the question.

The safety factor of 2 indicates that the material should have a yield strength at least twice the expected yield stress on the key. This ensures a sufficient margin of safety to account for potential variations in the applied forces and other factors.

To determine the minimum yield value of the key material, we would need additional information such as the expected torque or the applied forces. With that information, we could calculate the maximum stress on the key and compare it to the yield stress of the shaft, considering the safety factor.

Please note that without the specific values for the applied forces or torque, we cannot provide a precise answer regarding the minimum yield value of the key material.

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The absolute value (magnitude) of the complex number z = 2 - 3i is ∣z∣ = sqrt(13).

To find the absolute value (magnitude) of the complex number z = 2 - 3i, we use the formula:

∣z∣ = sqrt(a^2 + b^2), where a and b are the real and imaginary parts of z, respectively.

In this case, a = 2 and b = -3. Substituting these values into the formula:

∣z∣ = sqrt(2^2 + (-3)^2)

= sqrt(4 + 9)

= sqrt(13)

Therefore, the absolute value (magnitude) of the complex number z = 2 - 3i is ∣z∣ = sqrt(13).

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Answer:

y= 0 1 2 3 4

Step-by-step explanation:

just minus 2 by all of the numbers from x

Answer:

Step-by-step explanation:

\(\angle 2,\angle AEG, \angle GEB\)

15 square centimeters

This question is asking you to find the area of the base of the triangular prism which would be the side shaped like a triangle at the end. The formula for calculating area of a triangle is 1/2 * base * height.

Base = 6cm

Height = 5cm

1/2 * 6 * 5 = 15 square centimeters

Answer:

B' (3,4)

All you need to do is flip the ordered pair

Hello and Good day,

This question is relating to probability and it can come in percentages and fractions. I will follow directions as the problem states and provide both.

1. There is a 1/20 or 5% chance that the dart would land on section 20.

2. There is a 10/20 or 50% chance that the dart would land on an odd number.

There are 10 odd numbers present on the dart board.

3. 4/20 or 20%

There are 4 numbers greater than 16.

4. 0/20 or 0%

This is because there are no 25's on the dart board

5. 17/20 or 85%

This is because there are 17 numbers that aren't 4, 5, or 6.

6. 7/20 or 35%

There are 7 numbers less than 8.

7. 20/20 or 100% chance

8. 19/20 or 95% chance

I honestly was to lazy to right the rest in complete sentences, but i hope you find this well. Have a great day.

Thank you for your support,

-Oceanbreeze24

There are 24 different ways Miguel can line up his four textbooks (Spanish, math, physics, and writing) on his bookshelf. This is calculated using the formula for permutations of n objects taken all at a time, which is n! where n=4.

Miguel can line up his textbooks in a certain number of ways. To find the total number of ways, we can use the formula for permutations of n objects taken all at a time, which is:

n! = n x (n-1) x (n-2) x ... x 2 x 1

In this case, there are 4 textbooks, so we have

4! = 4 x 3 x 2 x 1 = 24

Therefore, there are 24 different ways Miguel can line up his textbooks on his bookshelf.

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Instance variables are often called "fields" to help distinguish them from other variables you might use.

Instance variables are defined within a class but outside of any method, constructor, or block.

Some key points related to Instance variables are-

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The mass of the isotope after 45 hours is 2.5 grams.

Given, from the table we can find that when time is 10 hours,

the mass is 12.6 grams;

when time is 25 hours the mass is 6.3 grams .

And 12.6 × 1/2 = 6.3

Also we can find when time is 15 hours the mass is 10 grams,

when time is 30 hours, the mass is 5 grams as:

10 × 1/2 = 5

so we know that half life period is:

25 - 10 = 30 - 15 = 15 hours.

When time is 45 hours,

45 = 15+115

= 3 half life periods, so the mass is :

20 × 1/2 × 1/2 × 1/2

= 2.5 grams.

Hence the mass of the isotope after 45 hours is 2.5 grams.

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Answer:

Max at t=2, 128 m/s

Min at t=6, 0 m/s

Step-by-step explanation:

Given the position function of a particle with respect to time, find the minimum and maximum velocity the particle travels over the interval [1,7].

\(s(t)=t^4-16t^3+72t^2+5\)

(1) - Find the velocity function of the particle

The velocity function is a derivative of the position function.

\(s'(t)=v(t)\\\\s(t)=t^4-16t^3+72t^2+5\\\\\Longrightarrow s'(t)=\frac{d}{dx}[t^4-16t^3+72t^2+5] \\\\\text{Use the derivative rules.}\\\\\boxed{\left\begin{array}{ccc}\text{\underline{Power Rule:}}\\\\\frac{d}{dx}[x^n]=nx^{n-1} \end{array}\right} \ \ \boxed{\left\begin{array}{ccc}\text{\underline{Constant Rule:}}\\\\\frac{d}{dx}[k]=0 \end{array}\right} \\\\\\\Longrightarrow s'(t)=(4)t^{4-1}-16(3)t^{3-1}+72(2)t^{2-1}+0\\\\\Longrightarrow s'(t)=4t^{3}-48t^{2}+144t\\\\\)

\(\therefore \boxed{v(t)=4t^{3}-48t^{2}+144t}\)

(3) - Take the derivative of v(t)

\(v(t)=4t^{3}-48t^{2}+144t\\\\\Longrightarrow v'(t)=12t^2-96t+144\)

(4) - Let v'(t)=0 and solve for "t," these are the critical points

\(v'(t)=12t^2-96t+144\\\\\Longrightarrow 0=12t^2-96t+144\\\\\Longrightarrow 0=12[t^2-8t+12]\\\\\Longrightarrow 0=t^2-8t+12\\\\\Longrightarrow (t-6)(t-2)=0\\\\\therefore \text{The critical points are} \ \boxed{t=6 \ \text{and} \ t=2}\)

(5) - Find the max/min values (in this case these values represent the particle's velocity) by plugging the critical points into v(t)

\(\text{Recall that} \ v(t)=4t^{3}-48t^{2}+144t \ \text{and} \ t=6, \ t=2\\\\\text{\underline{When t=6:}}\\\\\Longrightarrow v(6)=4(6)^{3}-48(6)^{2}+144(6)\\\\\Longrightarrow \boxed{v(6)=0 \ m/s}\\\\\text{\underline{When t=2:}}\\\\\Longrightarrow v(2)=4(2)^{3}-48(2)^{2}+144(2)\\\\\Longrightarrow \boxed{v(6)=128 \ m/s}\)

Thus, at time, t=6, the particle's velocity is smallest, 0 m/s. And at time, t=2, the particle's velocity is greatest, 128 m/s.

Answer:

-1/4

Step-by-step explanation:

Answer:

In order to make a slope perpendicular, you have to change its sign depending on whether it is negative or positive. And you have to change it upside down (its reciprocal)

Therefore,

-1/4

3(7x + 1)

3 . 7x = 21x

3.1 = 3

3(7x + 1 ) = 21x + 3

The equivalent expression with the fewest symbols possible is 21x+ 3.

The distributive Property states that it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms.

we have,

3 x (7x+ 1)

By Distributive property we know

a x( b+ c) = a x b + a xc

ax (b-c) = a x b - a x c

So, 3 (7x + 1 )

= 3 (7x)+ 3(1)

= 21x + 3

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Answer:

1.67

Step-by-step explanation:

1.5x*6=9x and after that you would want to get x on one side so 3.4+11.6=15 and then you would divide 9 by 15 because you want x alone on one side which gives you 5/3 or 1.66666666667

Answer:

It’s still 11.9

Step-by-step explanation:

By analyzing the table we conclude that the range is the set R : [0, 7.66] so the correct option is the last one.

For a relation y = f(x), we define the range as the possible values of y.

In this case, y represents the height that the ball takes, in the table, we can see that it starts at 0, then in reaches a maximum value of 7.66, and then it decreases again until it reaches the zero again when the ball returns to the ground.

Then y can take all the values between 0 and 7.66, meaning that the range is:

R : [0, 7.66]

Then the correct option is the last one.

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It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.

While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.

It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.

To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.

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