If a car travels 640 miles in 11 hours, what is the average rate

Hence, the solution of the system of linear equations is;(x, y, z) = (1/3, -1, -8/3)

To convert the system to an augmented matrix and reduce it to echelon form, we will be following the steps below;Consider the given system of linear equations;

x + 3y − 2z = −4,

2x + y + z = 3,3x − y + z = 2T

he augmented matrix for the given system is; \[\left[\begin{matrix}1&3&-2&-4\\2&1&1&3\\3&-1&1&2\end{matrix}\right]\]

To reduce the augmented matrix to echelon form, we will be using the Gaussian elimination method;Performing row operations: -2R1+R2=> R2,-3R1+R3=> R3.

\[\left[\begin{matrix}1&3&-2&-4\\0&-5&5&11\\0&-10&7&14\end{matrix}\right]\]Now, performing row operation, -2R2+R3=> R3. \[\left[\begin{matrix}1&3&-2&-4\\0&-5&5&11\\0&0&-3&8\end{matrix}\right]\]

We now have the matrix in echelon form.The matrix is consistent since there is no row where we have all zeroes except the last column.

The last equation of the augmented matrix is -3z = 8.The solution of z = -8/3 is substituted into the second equation;

-5y + 5 (-8/3) = 11 => y = -1.

The solution of y = -1 and z = -8/3 is substituted into the first equation to obtain the value of x;

x + 3(-1) - 2(-8/3) = -4 => x = 1/3.

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After 1 hour, there would be approximately 145,800 bacteria in the culture.

In this scenario, the bacteria culture starts with 200 bacteria and triples in size every 10 minutes. We need to calculate the number of bacteria after 1 hour, which is equivalent to 60 minutes.

Since the bacteria triple in size every 10 minutes, we can divide the total time (60 minutes) by the growth period (10 minutes) to determine how many times the bacteria triple.60 minutes / 10 minutes = 6 times

Therefore, the bacteria will triple in size 6 times over the course of 1 hour

Starting with 200 bacteria and tripling the size 6 times, we can calculate the final number of bacteria as follows:

200 * (3^6) = 200 * 729 = 145,800

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Answer: Cant help I'm in 7th grade

Step-by-step explanation:

Answer:

length= 9

width= 3

Step-by-step explanation:

x= width

length = x+6

x+6+x+6+x+x=24

4x+12=24

take 12 from both sides

4x= 12

x=3

i think 48888 because i think so and you do to

Answer:

Answer: 3 by the power of 4

Step-by-step explanation:

3 by the power of 4 equals what?

81 and 4 by the power of 3 equals what?

64 so this shows us that 3 by the power has a greater value

ANSWER : 3 by the power of 4

The agency earned $14,805 and the agent earned $2,961 commission on selling the house worth $329,000 given that the commission rate is 4.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets.

How to find how much the agency made on the house?

The commission earned by the agency is calculated as follows:

Total Commission = 4.5% × Sale Price Total Commission = 4.5% × $329,000Total Commission = $14,805

Therefore, the agency made $14,805 on selling the house.

How to find how much the agent earned in commission?

The agent commission is calculated as follows:

Commission Paid to Agent = 20% × Total CommissionCommission Paid to Agent = 20% × $14,805Commission Paid to Agent = $2,961

Therefore, the agent earned a commission of $2,961.

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Answer:

= 1.21577e19

Step-by-step explanation:

I used a calculator that should tell you. :))

the velocity of the object at time `t₀ = 5` is `-5` (option D).

The object moves along a coordinate line, its position at each time t ≥ 0 is given by `x(t) = -t² + 5t + 1`. We need to find the velocity at time `t₀ = 5`.

The velocity `v(t)` is the derivative of position `x(t)` with respect to time `t`, so we need to differentiate the given position function to find velocity.

`x(t) = -t² + 5t + 1

`Differentiating `x(t)` with respect to `t` using the power rule of differentiation:

`v(t) = d(x(t))/dt = d(-t² + 5t + 1)/dt = -2t + 5`

We need to find the velocity at `t₀ = 5`.

Substituting `t = 5` into the velocity function `v(t) = -2t + 5`, we get:v(5) = -2(5) + 5= -10 + 5= -5

Therefore, the velocity of the object at time `t₀ = 5` is `-5` (option D).

Answer: option D) `-5`

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Here are six columns that should be part of a communication matrix: Stakeholder Name, Communication Objective,  Information Needs, Communication Channel, Frequency, Responsible Party.

Regarding project communications timing schedules, here are three common types: Regular Scheduled Communications, Ad Hoc Communications, Milestone-Based Communications,

Stakeholder Name: List the names or roles of the project stakeholders who need to receive or provide information.

Communication Objective: Define the purpose or objective of the communication with each stakeholder. This could include sharing project updates, seeking feedback, or discussing specific deliverables.

Information Needs: Specify the type of information required by each stakeholder. This could include progress reports, budget updates, status of deliverables, or any other relevant details.

Communication Channel: Identify the most effective communication channel for each stakeholder. This could be face-to-face meetings, emails, phone calls, video conferences, project management software, or any other medium that suits the stakeholders' preferences and requirements.

Frequency: Determine how frequently you should communicate with each stakeholder. This could be daily, weekly, monthly, or at specific project milestones.

Responsible Party: Assign responsibility for initiating and managing communication with each stakeholder. This ensures accountability and helps avoid miscommunication or missed interactions.

Regarding project communications timing schedules, here are three common types: Regular Scheduled Communications, Ad Hoc Communications, Milestone-Based Communications,

Regular Scheduled Communications: These communications occur on a predetermined schedule, such as weekly or monthly meetings, status updates, or progress reports. They help keep stakeholders informed about the project's overall status and provide an opportunity for discussion and feedback.

Ad Hoc Communications: Ad hoc communications happen as needed or in response to specific events or circumstances. They are not pre-scheduled but are triggered by certain situations. For example, when an issue arises that requires immediate attention or when a milestone is achieved, ad hoc communications may be necessary.

Milestone-Based Communications: Milestone-based communications are tied to specific project milestones or significant events. These communications occur when a particular phase is completed, a major deliverable is achieved, or an important decision needs to be made. They help ensure that stakeholders are informed about important project progress and decisions.

By incorporating these types of project communication timing schedules into your overall communication plan, you can establish effective and timely communication with stakeholders throughout the project lifecycle.

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Answer:

Everybody has to start somewhere! The answer you are looking for is Z=-3

Step-by-step explanation:

-27=9z, start by dividing 9 from both sides, you need to separate it from z, so instead of multiplying, you must do the opposite, so you divide 9 from 9z, which makes it just z, and divide 9 from -27, which makes -27, -3. so you will get -3=z. Now switch the -3 and Z, and your answer is Z=-3. If you are still having trouble, let me know.

Answer:

a

Step-by-step explanation:

Answer:

2d - 16

Step-by-step explanation:

16 less than twice d

first of all we know were subtracting

-16

and we know were multiplying

2d

now put it together

2d - 16

this problem can be switched

-16 + 2d

Answer: the answer is 0

Step-by-step explanation:

Answer:

because base angle of isoscels triangle is congurent.

if one base is right angle then both base be rightangle.

Answer:

Step-by-step explanation:

so pathetic, I don't even get you

The correct statement regarding the unit rate in this problem is given as follows:

Point (1,2) shows that the unit rate is of $2 per ounce.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The point of the graph is given as follows:

(1,2) -> x = 1, y = 2.

Hence the unit rate is given as follows:

k = y/x = 2/1 = 2.

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Answer:

45:30:100

Step-by-step explanation:

the answer would be 9:6:20

Answer:

Step-by-step explanation:

A fraction is literally a division question in one number. You can use it to determine parts of something (parts of a whole)

Answer:

D

Step-by-step explanation:

Distance can't be negative (especially after using absolute value) so A and C are cancelled.

When you are trying to find the distance between the 2, you want to subtract to see how far they are away from each other.

That means B is cancelled and D is the only answer you have left :)

Answer: 62 units

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Step 1: Write equation

-5(2x - 5) - 3x - 5 = 7

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

-5(2(1) - 5) - 3(1) - 5 = 7

-5(2 - 5) - 3 - 5 = 7

-5(-3) - 8 = 7

15 - 8 = 7

7 = 7

Hi there!

This should be easy,lol!

Answer:

[tex]\sqrt[3]{-128} = \boxed{-128 \sqrt{3} }[/tex] (Decimal: -221.702503)

[tex]\sqrt[3]{162} = \boxed{162 \sqrt{3} }[/tex] (Decimal: 280.592231)

[tex]\sqrt[3]{-1000x^4} = \boxed{-1732.050808x^4}[/tex]

Sorry bout the explanation thingy. Their really long -.-!

But the last one is short so i'll put it for you!

Step-by-step explanation:

∴!For the last one!∴

[tex]\sqrt[3]{-1000x^4}[/tex]

Simplifies to:

[tex]= - 1732.050808 * x^4[/tex]

[tex]= - 1732.050808 * ( x * x * x * x)[/tex]

[tex]= - 1732.050808x^4[/tex]

Have a great day/night!

Answer:

10)

[tex]=-4\sqrt[3]{2}[/tex]

12)

[tex]=3\sqrt[3]6[/tex]

14)

[tex]=-10x\sqrt[3]{x}[/tex]

Step-by-step explanation:

10)

We have:

[tex]\sqrt[3]{-128}[/tex]

We want to simplify the cube root. So, let's start picking at the factors.

Notice that -128 is divisible by 64. So:

[tex]=\sqrt[3]{-1\cdot64\cdot2}[/tex]

Now, notice that 64 is the same as 4³. (-1) is also the same as (-1)³. Therefore:

[tex]=\sqrt{(-1)^3\cdot(4)^3\cdot2[/tex]

We can now expand our root:

[tex]=\sqrt[3]{(-1)^3}\cdot\sqrt[3]{(4)^3}\cdot\sqrt[3]{2}[/tex]

The cubes and the cube roots cancel each other out. This leaves us with:

[tex]=(-1)\cdot(4)\cdot\sqrt[3]2[/tex]

Simplify:

[tex]=-4\sqrt[3]{2}[/tex]

12)

We have:

[tex]\sqrt[3]{162}[/tex]

Again, let's see what we can factor out.

If it's unclear what we can factor out, we can guess and check. Since 162 is even, let's divide it by 2. This yields:

[tex]=\sqrt[3]{2\cdot81}[/tex]

Notice here that 81 is the same as 3⁴. Therefore:

[tex]=\sqrt[3]{2\cdot3^4}[/tex]

We can separate the 3 from the exponent using the properties of exponents:

[tex]=\sqrt[3]{2\cdot3\cdot3^3}[/tex]

Expand:

[tex]=\sqrt[3]{3^3}\cdot\sqrt[3]{2\cdot3}[/tex]

The cube roots and cube will cancel. This leaves us with:

[tex]=3\cdot\sqrt{2\cdot3}[/tex]

Simplify:

[tex]=3\sqrt[3]6[/tex]

14)

We have:

[tex]\sqrt[3]{-1000x^4}[/tex]

Notice here that 1000 is the same as 10³. Also, we can separate an x from the x⁴. Therefore:

[tex]=\sqrt[3]{-1\cdot (10)^3\cdot x^3\cdot x}[/tex]

Also, (-1) is the same as (-1)³. Thus:

[tex]=\sqrt[3]{(-1)^3\cdot (10)^3\cdot x^3\cdot x}[/tex]

Expand:

[tex]=\sqrt[3]{(-1)^3}\cdot\sqrt[3]{(10)^3}\cdot\sqrt[3]{x^3}\cdot\sqrt[3]{x}[/tex]

The cube roots and the cube will cancel. This leaves us with:

[tex]=-1\cdot10\cdot x\cdot\sqrt[3]{x}[/tex]

Simplify:

[tex]=-10x\sqrt[3]{x}[/tex]

And we're done!

Answer

Valid

Step-by-step explanation:

I had no idea what i was answering sorry

Answer:

yes

Step-by-step explanation:

its mostly common sense if you don't study for something you're 99% garrenteed to fail where as if you study you are more prepared and understand the material ahead of time so you have a greater chance of passing.

Answer:

C: perpendicular lines

Step-by-step explanation:

Answer:

Total number of people in the stadium = 520

Step-by-step explanation:

Let the total number of people in the stadium = x

Since, 25% of the fans are teenagers, number of teenagers in the stadium

= 25% of x

= [tex]\frac{25}{100}\times x[/tex]

= 0,25x

If the number of teenagers in the stadium = 130

0.25x = 130

x = [tex]\frac{130}{0.25}[/tex]

x = 520

Therefore, total number of fans in the stadium = 520.

Answer:

-4

Step-by-step explanation:

Looking at a number line, the more you go left, the less the numbers are.

Hence the number line would look something like this:

.. -6 .. -5.. -4 .. -3 .. -2 .. -1 .. 0 .. 1 .. 2 .. 3 .. 4 ..

Hence: -4 is less than -3 because it is on the left side of -3

Given the volume of the sphere as 26667 cm³, we calculated the radius to be approximately 17.7 cm using the formula for the volume of a sphere. By multiplying the radius by 2, we found that the diameter of the sphere is approximately 35.4 cm.

To calculate the diameter of a sphere when given its volume, we can use the formula for the volume of a sphere:

V = (4/3) * π * r³

Where V is the volume and r is the radius of the sphere. Since we are given the volume, we can rearrange the formula to solve for the radius:

r = ([tex]\sqrt[3]{(3V / (4\pi )}[/tex]))

Substituting the given volume V = 26667 cm³ into the formula, we have:

r = ([tex]\sqrt[3]{(3 * 26667 / (4\pi )))}[/tex]

Calculating this expression, we find:

r ≈ ([tex]\sqrt[3]{80001 / \pi ))}[/tex] ≈ 17.7 cm

Now that we have the radius, we can calculate the diameter by multiplying the radius by 2:

d = 2 * r ≈ 2 * 17.7 ≈ 35.4 cm

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Answer:

The first one or A because 3 times 2 is 6 and 4 times 2 is 8.

Answer:

y = 2x

Step-by-step explanation:

slope = y2 - y1/x2 - x1

slope = 8 - 6/ 4 - 3

slope = 2/1

slole = 2

y-intercept is y when x = 0

6 - 2/3 - 1 = 4/2

4 - 2/2 - 1 = 2/1

2 - 2/1 - 1 = 0/0

y-intercept = 0 so it doesn't appear in the formula