Help please .....................

The greatest common factor of 36x^8 and 15x is x.

To find the greatest common factor (GCF) of the given monomials 36x^8 and 15x, we need to determine the highest power of x that divides both monomials.

The prime factorization of 36x^8 is 2^2 * 3^2 * x^8.

The prime factorization of 15x is 3 * 5 * x^1.

To find the GCF, we take the lowest exponent for each common prime factor. In this case, the common prime factor is x.

The lowest exponent for x is x^1 in the monomial 15x.

Therefore, the greatest common factor of 36x^8 and 15x is x.

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The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

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Answer:

H

Step-by-step explanation:

The second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.

To determine which airplane has a higher altitude, we can compare the decimal parts of the altitudes provided.

The first airplane is flying at a height of 37,890.52 kilometers, and the second airplane is flying at a height of 37,890.89 kilometers. Comparing the decimal parts, we can see that 0.52 is smaller than 0.89.

In the decimal system, as the digits move to the right of the decimal point, their value decreases. So, when comparing two numbers with the same whole part (37,890 in this case), the one with a higher decimal part will be greater.

Therefore, the second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.

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A(n) focus indicates when an object sends or receives a message and is identified by a narrow vertical shape that covers the lifeline. A) focus.

A focus, in the context of UML, is a graphical element that represents the point in time when an object is actively sending or receiving a message. It is indicated by a narrow vertical shape that covers the lifeline of the object in a sequence diagram.

The other options, subclass and instance, do not refer to elements used in sequence diagrams. Subclass refers to a type of object that inherits attributes and behaviors from a parent class, while instance refers to a specific occurrence of an object with its own unique set of attribute values. Activity is a type of diagram used to model business processes or workflows.

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Answer:

Hi! The answer to your question is (2,-3)

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

The dependance on experience is reflected in the syntactic distinction between prior probability statements.

syntax refers to alphabet, while semantics refers to meaning. Syntax is the set of rules demanded to insure a judgment is grammatically correct; semantics is how one's wordbook, grammatical structure, tone, and other rudiments of a judgment coalesce to communicate its meaning. syntax is the arrangement or order of words, determined by both the pen's style and alphabet rules. consisting of or noting coinages that are combined in the same order as they would be if they were separate words in a corresponding construction The word blackberry, which consists of an adjective followed by a noun, is a syntactic emulsion.

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The given unity feedback system is the type-1 system, which can be observed from the given open-loop transfer function G(s).

Steady state error is the difference between the input and the output as time approaches infinity. It is also the difference between the desired value and the actual output at steady-state.

The steady-state error is calculated using the error coefficient, which depends on the type of the system.Find the steady-state error if the input is 80u(t):The transfer function of the given system can be written as follows;G(s) = 80(8²)/(s+4)(8+6)(8+17)The type of the given system is the type-1 system.

As the input to the system is u(t), the error coefficient is given as,Kp = lims→0sG(s) = 80/4(6)(17) = 5/153The steady-state error can be found out by the following formula;

ess = 1/Kp = 153/5.

Therefore, the steady-state error of the given system if the input is 80u(t) is 153/5.Find the steady-state error if the input is 80tu(t):As the input to the system is tu(t), the error coefficient is given as,Kv = lims→0s²G(s) = 0The steady-state error can be found out by the following formula;ess = 1/Kv = ∞.

Therefore, the steady-state error of the given system if the input is 80tu(t) is infinity.Find the steady-state error if the input is 80t²u(t):As the input to the system is t²u(t), the error coefficient is given as,Ka = lims→0s³G(s) = ∞The steady-state error can be found out by the following formula;

ess = 1/Ka = ∞.

Therefore, the steady-state error of the given system if the input is 80t²u(t) is infinity.

By using the error coefficient formula, we have found that the steady-state error of the given system if the input is 80u(t) is 153/5, steady-state error of the given system if the input is 80tu(t) is infinity and steady-state error of the given system if the input is 80t²u(t) is infinity.

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Hello!

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

I can't attach a photo here, so I will try to explain.

y=-2

The equation of any line looks like so:

y=mx+b

Here, we have only:

y=b

That doesn't mean that the slope vanished; the line still has a slope, but it equals 0.

So we have y=0x+b.

Now, b is the y-intercept (where the graph touches the y-axis).

So the graph touches the graph at (0, -2)

Now, what does 0 slope mean?

It means that the line is horizontal.

Hope it helps you!

~SparklingFlower (:

Please give me the crown; I will be glad! (;

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The key to obtaining a random sample is to use a method that gives every resident in the population an equal chance of being selected for the survey.

There are several survey methods that Chris can use to obtain a random sample of 50 residents from the population. Here are a few examples:

1. Simple random sampling: In this method, Chris can assign a unique number to each resident in the population and then use a random number generator to select 50 numbers. The residents corresponding to these numbers would be selected for the survey.

2. Systematic sampling: In this method, Chris can select every nth resident from a list of all residents in the population. For example, if Chris chooses to survey every 10th resident from a list of 500 residents, he would survey a total of 50 residents.

3. Stratified sampling: In this method, Chris can divide the population into different subgroups based on certain characteristics, such as age, gender, income, or education level. He can then randomly select a certain number of residents from each subgroup to ensure that the sample is representative of the population.

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Answer:

C.) π/9

Step-by-step explanation:

√9/3 = 1

2π ≈ 6.28

The only value that is not between these two numbers is π/9 which is approximately 0.35.

Answer:

94.50$

Step-by-step explanation:

Answer:

The length of a side of the pool is 12 m²

Step-by-step explanation:

Let the area of the square plot be A. Since it is a square plot of 35 m side, its area is A = 35² = 1225 m².

Let A' be the area of the lawn. Since the area of the lawn is 1081 m², A' = 1081 m².

Now the area of the pool is the difference in area between the area of the square plot and the area of the lawn. So, let A'' be the area of the square swimming pool.

So, A'' = A - A'

A'' = 1225 m² - 1081 m²

A'' = 144 m².

Since the swimming pool is a square, the length of its side, L is thus

L = √A''

L = √144 m²

L = 12 m

So, the length of a side of the pool is 12 m.

9514 1404 393

Answer:

Step-by-step explanation:

When you ask for evaluation of a math expression, you need to write what you mean.

Here, the order of operations requires you compute the exponentials before you do the division or addition:

  9 ^ 3/2 - 25 ^ 1/2 = (9^3)/2 -(25^1)/2

  = 729/2 -25/2 = 364.5 -12.5 = 352

__

It seems quite likely that you intend the exponents to be 3/2 and 1/2. In that case, parentheses are required.

  9 ^ (3/2) - 25 ^ (1/2) = 27 -5 = 22

_____

Your calculator can evaluate arithmetic expressions for you.

Lets try one way to solve this system. First, we want to isolate one of the unkown, lets choose y, so we need to remove x from an equation. In order to remove x from an equation, thats what we are going to do :

Line 1:

(3x² - 5y²) * 2 = 22 * 2

6x² - 10y² = 44

We simply multiplied Line 1 by the number 2, this doesn't change anything on the nature of Line 1.

Line 2:

(2x² + 4y²)*3 = 22*3

6x² + 12y² = 66

We simply multiplied Line 2 by the number 3, this doesn't change anything on the nature of Line 2.

Solving your system of equations is exactly the same thing as solving this new system of equation :

6x² - 10y² = 44

6x² + 12y² = 66

It is exactly the same. But it is easier now, because we can remove x from the equation simply by subtracting line 2 from line 1 :

L1 - L2 :

(6x² - 10y²) - (6x² + 12y²) = 44 - 66

6x² - 10y² - 6x² - 12y² = - 22

- 22y² = - 22

y² = 1

y = + 1 or y = - 1

We know have the value of y, we just have to replace it in the equation to solve the entire system :)

3x² - 5y² = 22

since y² will always be equal to one, wether y = 1 or y = - 1, we can write :

3x² - 5 = 22

3x² = 22 + 5

3x² = 27

x² = 27/3

x² = 9

x = + 3 or x = - 3

So the solutions are the following couples in the form (x,y) :

S = { (3 ; 1) , (-3;1) , (3 ; - 1) , (-3 ; -1))

Good Luck

Data triangulation is a research method that involves using multiple data sources or methods to gather and analyze information, enhancing the validity and comprehensiveness of findings.

Data triangulation is a research method that involves using multiple sources or methods to gather and analyze data on a particular topic or research question. By combining different data sources, researchers aim to enhance the validity, reliability, and comprehensiveness of their findings.

Two real-world examples of data triangulation are:

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Answer:

$35,000.00 - $1,000.00 = 34,000.00

Answer:

w=6 in

l=3 in

Step-by-step explanation:

let w = width and length be 'w-3'

Two sides of w and two sides of (w-3) equal 18 sq in

18=2(w)+2(w-3)

18=2w+2w-6

4w=24

w=6

The width of rectangle is, 6 in.

And, Length of rectangle is 3 in.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The length of a rectangle is 3 inches less than its width

And, the area of the rectangle is 18 in.²

Now, We know that;

Area of rectangle = Length × Width

Let the width of rectangle = x

Hence, Length of rectangle = x - 3

Thus, We get;

Area of rectangle = Length × Width

18 = x (x - 3)

18 = x² - 3x

x² - 3x - 18 = 0

x² - (6 - 3)x - 18 = 0

x² - 6x + 3x -18 = 0

x(x - 6) + 3 (x - 6) = 0

(x - 6) (x + 3) = 0

x = 6 , x = - 3

But dimensions are not negative.

Hence, We get;

x = 6

Thus, the width of rectangle = 6 in.

Hence, Length of rectangle = x - 3

                                           = 6 - 3 = 3 in.

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Answer:

-0.53

Step-by-step explanation:

5/4 *x -1/9 = 6x

-1/9 = (6-5/4) x

x = -4.75/9

x=-0.53

The total value of the goods delivered in scientific notation is $1.62 × 10¹⁰

The value of something is the worth, importance, or usefulness that it has. It can be determined by looking at its cost, utility, quality, or other factors. The value of something can change over time depending on its availability or demand, and it can be subjective or objective. For example, a vintage car may have a higher value than a newer model due to its rarity and condition, while a new laptop may have a higher value than an old one due to its increased performance and features. Ultimately, the value of something is determined by its usefulness to someone who is willing to pay for it.

The total value of the goods can be found by multiplying the value of the goods in tons by the quantity of the goods in tons. This gives:

Total Value = 6 × 10⁵ × 27000

= 600000 × 27000

= $16200000000

The first digit of the total value is followed by 10 digits. Putting the digits after the first digit behind the decimal symbol, we get the scientific notation value to be:

$1.62 × 10¹⁰

Thus, The total value of the goods delivered in scientific notation is $1.62 × 10¹⁰.

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Here's a Scheme function that checks whether a matrix is symmetric or not:

```scheme

(define (is-symmetric-matrix matrix)

 (define (get-element matrix i j)

   (if (null? matrix)

       #f

       (if (= i 0)

           (if (null? (car matrix))

               #f

               (if (= j 0)

                   (car (car matrix))

                   (get-element (cdr matrix) i (- j 1))))

           (get-element (cdr matrix) (- i 1) j))))

 (define (is-matrix-symmetric-helper matrix i j)

   (if (null? matrix)

       #t

       (if (equal? (get-element matrix i j)

                   (get-element matrix j i))

           (is-matrix-symmetric-helper matrix i (+ j 1))

           #f)))

 (if (null? matrix)

     #t

     (is-matrix-symmetric-helper matrix 0 0)))

```

The function `is-symmetric-matrix` takes a matrix as an input, which is represented as a list of lists. It uses a helper function called `is-matrix-symmetric-helper` to compare each element of the matrix with its corresponding element in the transposed position. The `get-element` function is used to retrieve the element at position `(i, j)` in the matrix.

The `is-matrix-symmetric-helper` function recursively iterates over the matrix, comparing each element with its transposed element. If any pair of corresponding elements is found to be different, it immediately returns `#f` (False), indicating that the matrix is not symmetric. If it reaches the end of the matrix without finding any differences, it returns `#t` (True), indicating that the matrix is symmetric.

Finally, the main `is-symmetric-matrix` function first checks if the matrix is empty. If it is, it immediately returns `#t` since an empty matrix is considered symmetric. Otherwise, it calls the helper function with the initial indices `(0, 0)` and returns its result.

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Step-by-step explanation:

This may be the answer to your equation.

Answer:

The chronological age is 30 years

Step-by-step explanation:

Q= (kM)/C

132= (22k)/ 25

3300= 22k

k= 150

Q= (150M)/C

100= (150 x 20)/C

100= 3000/C

100C= 3000

C= 30

brainliest pls

The 4-digit positive integers have four different digits where the leading digit is not zero, the integer is a multiple of 5, and 5 is the largest digit is 108.

\(5*4*3*1+4*4*3*1=60+28=108\)

Positive integers are the numbers we use to depend: 1,2, 3,4, 1 , 2, three, four, and so forth. Numbers with a fractional component not identical to zero and poor numbers are excluded from a fixed of high-quality integers. The operations of addition, subtraction, multiplication, and division can be finished with tremendous integers.

Positive integers are definitely your counting numbers. wonderful integers are in reality a part of a larger institution of numbers referred to as integers. Integers are all of the whole numbers, each advantageous and poor. by complete numbers, we imply numbers without fractions or decimals.

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We make four cases based on where the multiple of the 5 digits (0 or5) is. The number has to end with either 5 or 0 since it's a multiple of5. In all but the last case, 5 and 0 are used at the end and in another spot that separates the cases.

Case 1: The first digit can't be 0 so it must be 5. There are 4.3 to choose the middle two digits. After that, the last digit has to be 0, so there are a total of 1.4.3.1=12 numbers.

Case 2: The second digit can be 5, leaving 2 choices. The first and third numbers can be chosen in 4.3 ways, like last time. The last digit has to be 0 or 5, but not the one we already used. There are a total of 4.2.3.1=24 numbers.

Case 3: There are the same choices, but the digits 0 and 5 are at the last and second-to-last spots. So there are 4.2.3.1 =24 numbers again.

Case 4: There are 4.3.2 ways to choose the first three numbers. There has to be a 5 in the number because the largest digit is 5. Coincidentally, there are 4.2.3.1 numbers again.

There are a total of 12 + 24.3= (D)84 numbers.

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Answer:

-2? maybe

Step-by-step explanation:

Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

The solution to the system of equations. is (x, y) = (-1, 6).

Simplifying this equation, we get:

6x + 6x + 18 = 6

12x + 18 = 6

Subtracting 18 from both sides:

12x = -12

Dividing both sides by 12:

x = -1

Now that we know x = -1, we can substitute this value into either equation to find y. We'll use the first equation:

y = 3x + 9

y = 3(-1) + 9

y = 6

Therefore, the solution to the system is (x, y) = (-1, 6).

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The amount of customer deposit on each certificate of deposit (cd) is $12,500 on cd#1, $37,500 on cd#2, $50,000 on cd#3, and $50,000 on cd#4.

We will use the equation to determine the amount of customer deposit on each certificate of deposit (cd) with this rule.

So, for the first rule we can write the equation as below,

cd#1, cd#2, cd#3, cd#4 ≤ 1/3 * 150

cd#1, cd#2, cd#3, cd#4 ≤ 50

The equation for the second rule is,

cd#2 = 3*cd#1

The equation for the third rule is,

cd#2 + cd#1 = cd#3

since cd#2 is 3*cd#1. So,

3*cd#1 + cd#1 = cd#3

4*cd#1 = cd#3

So, to distribute all her money we can write the equation below,

cd#1 + cd#2 + cd#3 + cd#4 = 150

cd#1 + 3*cd#1 + 4*cd#1 + cd#4 = 150

8*cd#1 + cd#4 = 150

since cd#4 can't have more than 50, so we can assume cd#4 is 50.

8*cd#1 + 50 = 150

8*cd#1 = 100

cd#1 = 12.5

Thus, the amount in cd#1 is 12.5, cd#2 is 12.5*3 = 37.5, cd#3 is 12.5*4 = 50, and cd#4 is 50.

Your question is incomplete, but most probably your full question was

Fifth national bank offers four different certificates of deposit (cd). the first cd (a) offers a 4% interest rate for amount greater than $10,000. the second cd (b) offers a 4.2% interest rate for amount greater than $25,000. the third cd (c) offers a 4.5% interest rate for amount greater than $30,000. finally, the fourth cd (d) offers a 5% interest rate for amount greater than $35,000. a customer has $150,000 to deposit. she wishes to deposit not more than 1/3 of her money in any of the cds. she likes to deposit exactly three times of her money in cd#2 than cd#1. she wishes the sum of the first and the second cds to be less than or equal to the third cd. you are lowering all amounts by a factor or scale of 1,000. how much does she allocate for each cd?

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Answer:

32 Nickels

Step-by-step explanation:

Given

Coins: Nickels (N) and Dimes (D)

$0.05 = 1 nickel and $0.10 = 1 dime

So, the amount implies:

\(0.05N + 0.10D = 6.20\)

The number of coin implies:

\(D = 14 + N\)

Required

Determine the number of nickels found

Substitute 14 + N for D in \(0.05N + 0.10D = 6.20\)

\(0.05N + 0.10(14 + N) = 6.20\)

\(0.05N + 1.4 + 0.10N = 6.20\)

Collect Like Terms

\(0.05N + 0.10N = 6.20 - 1.4\)

\(0.15N = 4.8\)

Solve for N

\(N = 4.8/0.15\)

\(N = 32\)

Hence, he found 32 nickels

Answer:

40%

Step-by-step explanation:

2cm loss from 5cm.

2 fifths of the water has gone.

2/5 given as 100ths is is calculated by multiplying both top and bottom by 20

2x20 =40

5x20= 100

40/100

or 40%