the equation y=7× represents a proportional relationship. What is the constant of proportionality​

Answer:

I believe the answer is Kelvin

n=(K+1)^3 the remainder when the positive integer n is divided by the positive integer k, where k > 1

What is Remainder?

The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). The remaining is the name for this amount.

For instance, 10 is not precisely divisible by 3. We can calculate 3 x 3 = 9 because that is the closest value.

As a result, 10 3 3 R 1, where 1 is the remainder and 3 is the quotient.

As we are aware:
Dividend: Divisor x Quotient + Remainder
Therefore,
Dividend - Remainder (Divisor x Quotient)
The formula for the remainder is as follows.

\(n=(k+1)^3\\\\=k^3+3k^2+3k+1\\\\=k(k^2+3k+3)+1=(k+1)^3\\\\=k^3+3k^2+3k+1=k(k2+3k+3)+1 \\\\\)

\(k(k^2+3k+3)\) is clearly divisible by k, because 1 divided by k gives 1 as the result (since k > 1).

The remainder will be n= (K+1)^3

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Answer:

2

--

5

Step-by-step explanation:

Start by multiplying 2 and -4/5 as fractions

2 -4 -8

------ x ------ = -------

1 5 5

Then multiply 6 and 1/3 as fractions

6 1 6 2

------ x ------ = ------- = -----

1 3 3 1

Lastly,add the two results after converting 2/1 to 10/5 to use the Greatest Common Factor so you can add.

-8 10 2

------- + ------ = -------

5 5 5

Answer:

The answer is 1800

Step-by-step explanation

9% of 20,000 = 1800

Hey there!

4 + 5x + 66 = x + 10

70 + 5x = x + 10

5x + 70 = x + 10

SUBTRACT x to BOTH SIDES

5x + 70 - x = x + 10 - x

5x + 70 - 1x = 1x + 10 - 1x

SIMPLIFY IT!
4x + 70 = 10

SUBTRACT 70 to BOTH SIDES

4x + 70 - 70 = 10 - 70

SIMPLIFY IT!
4x = -60

DIVIDE 4 to BOTH SIDES

4x/4 = -60/4

SIMPLIFY IT!
x = -60/4

x = -15

Therefore, your answer is: x = -15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Given :

#1 : Combine like terms on each side.

#2 : Subtract x from each side.

#3) Subtract 70 from each side.

#4) Divide 4 from each side.

Solution : x = -15

Answer:

$22,875

Hope this helps :)

Answer:

L=25

W=10

Step-by-step explanation:

Answer:

Use the perimeter to find x:

\(x + x + 6x + 6x = 70\\14x=70\\x=5\)

Therefore,

Answer: \(10, 31\ \text{years}\)

Step-by-step explanation:

Given

The present age of Madison's Mother is three time that of Madison

Suppose the Present age of Madison is \(x\), so age of her mother is \(3x\)

After \(6\dfrac{1}{4}\ \text{years}\), the sum of their age will be \(53\dfrac{3}{4}\ \text{years}\)

\(\therefore (x+6\dfrac{1}{4})+(3x+6\dfrac{1}{4})=53\dfrac{3}{4}\\\\\Rightarrow 4x+2\times \dfrac{25}{4}=\dfrac{53\times 4+3}{4}\\\\\Rightarrow 4x+\dfrac{50}{4}=\dfrac{215}{4}\\\\\Rightarrow 4x=\dfrac{215-50}{4}\\\\\Rightarrow x=\dfrac{165}{16}\\\\\Rightarrow x= 10.31\approx 10\)

Madison mother's age \(3x=30.93\approx 31\ \text{years}\)

Answer:

I graphed it, the first one is correct .

The approximate solution rounded to six decimal places is x ≈ -0.030387.

(a) To find the exact solution in terms of logarithms, we'll use the property of logarithms that allows us to rewrite an exponential equation in logarithmic form. For our equation, we can take the natural logarithm (base e) of both sides:
-6x = ln(5)
Now, we can solve for x by dividing both sides by -6:
x = ln(5) / -6
This is the exact solution in terms of logarithms.
(b) To find an approximation of the solution rounded to six decimal places, use a calculator to compute the natural logarithm of 5 and divide the result by -6:
x ≈ ln(5) / -6 ≈ 0.182321 / -6 ≈ -0.030387
 

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Answer:15-A

Step-by-step explanation:

Answer:

15.08 m

Step-by-step explanation:

The angle XZW :

XZW + 108° = 180°

XZW = 180° - 108°

XZW = 72°

Length of an arc = θ / 360 * πd

d = diameter = XV = 24

Length of arc XW = (72/360) * π * 24

Length of arc XW = 15.0796

Length of XW = 15.08 m

Answer:

15.08

Step-by-step explanation:

En Español :

1 centímetro → 10 kilómetros

25 centímetros → x

x = (10×25)/1

x = 250 kilómetros

¿cuál es la distancia real

entre esos dos puntos?

La distancia real entre esos dos puntos es de 250 kilómetros.

In English :

1 centimeters → 10 kilometers

25 centimeters → x

x = (10 × 25) / 1

x = 250 kilometers

What is the real distance between those two points?

The actual distance between these two points is 250 kilometers.

Answer:

Measures of the two triangles DEF and PQR

are shown in the figure. Check if the

triangles are congruent. If congruent, which

of the following statements is true? Justify.

∆ DEF ≅ ∆ PQR ;

∆ DEF ≅ ∆ QPR ;

∆ DEF ≅ ∆ RPQ. First to Answer with explanation will be marked as brainliest.

Answer:

16

Step-by-step explanation:

The power of a set is the number of subsets it has. The formula to calculate the power of a set is 2^n, where n is the number of elements in the set. In this case, the set Q has 4 elements: {a,e,i,o}. Therefore, the power of Q is 2^4 = 16. So, the set Q has 16 subsets.

Answer:

-2

Step-by-step explanation:

-2-4/3-0=-2

you basically take the y value of the first point subtract it from the y value of the 2nd point. you do the same for the x values

Answer:

-2

Step-by-step explanation:

You can use the equation rise over run, which is basically y2-y1 over x2-x1

Y2 is -2 and y4 is 4, x2 is 3  x1 is 0

-2-4 over 3-0=-6/3=-2

Slope-Intercept Form: The slope-intercept form of a linear equation is given by y = mx + b, where 'm' represents the slope of the line and 'b' represents the y-intercept (the point where the line intersects the y-axis).

This form is convenient for quickly identifying the slope and y-intercept of a line by inspecting the equation.

Point-Slope Form: The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) represents a point on the line and 'm' represents the slope.

This form is useful when we have a specific point on the line and its slope, allowing us to write the equation directly without needing to determine the y-intercept.

Standard Form: The standard form of a linear equation is given by Ax + By = C, where 'A', 'B', and 'C' are constants, and 'A' and 'B' are not both zero.

This form represents a linear equation in a standard, generalized format.

It allows for easy comparison and manipulation of linear equations, and it is commonly used when solving systems of linear equations or when dealing with equations involving multiple variables.

These three forms provide different ways of representing a linear equation, each with its own advantages and applications. It is important to be familiar with all three forms to effectively work with linear equations in various contexts.

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The probable question may be:
Write the three forms of a linear equation for the following.

Slope-Intercept Form:

Point-Slope Form:

Standard Form:

It is possible to use a relational operator and math operators in the same expression.

In programming, you can use relational operators (e.g., <, >, ==, !=) and math operators (e.g., +, -, *, /) together in the same expression. This is often used in conditional statements or loops to compare calculated values.

For example, consider the following expression:

`if (2 * 3) > (4 + 1)`

In this expression, we have math operators (*) and (+) and a relational operator (>). The math operations are evaluated first, resulting in:

`if (6) > (5)`

Then, the relational operator (>) is evaluated, and the expression becomes:

`if True`

The expression is true because 6 is greater than 5.

It is possible to use both relational operators and math operators in the same expression, which can be useful in various programming situations such as conditional statements or loops.

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Answer:

y = x +1

Step-by-step explanation:

y= mx + b

where m is the slope and b is the y-intercept

m = (y2-y1)/ (x2-x1) = 2+4 / 3+3 = 6/6 = 1

from the point -slope equation we have

y-y1 = m* (x-x1)

y-3 = 1* ( x-2)

y= x -2+3

y= x +1

so the slope m=1 and the y-intercept b=1

By answering the presented question, we may conclude that Therefore, the perimeter of the classroom is 96√2 + 42 feet (approx. 155.27 feet).

In Euclidean geometry, a rectangle is a parallelogram with four small angles. It may also be defined as a hexagon that is fundamental rule, or one in which all of the angles are equal. Another alternative for the parallelogram is a straight angle. Four of the vertices of a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle." A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.

The perimeter-

d = √[(x2 - x1)² + (y2 - y1)²]

So, the perimeter of the classroom is:

d1 = √[(-12 - (-12))² + (15 - (-9))²] = √(24² + 24²) = √(2² × 24²) = 48√2

d2 = √[(-12 - 9)² + (15 - 15)²] = √(21²) = 21

d3 = √[(9 - 9)² + (15 - (-9))²] = √(24² + 24²) = √(2² × 24²) = 48√2

d4 = √[(9 - (-12))² + (-9 - 15)²] = √(21²) = 21

perimeter = d1 + d2 + d3 + d4

= 48√2 + 21 + 48√2 + 21

= 96√2 + 42

Therefore, the perimeter of the classroom is 96√2 + 42 feet (approx. 155.27 feet).

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Answer:

The Correct answer is D

10952

Step-by-step explanation:

95(77+38)

95(115)

=10925

Answer:

If a function repeats over at a constant period we can call it a periodic function. According to periodic function definition the period of a function is represented like f(x) = f(x + p), p is equal to the real number and this is the period of the given function f(x). Period can be defined as the time interval between the two occurrences of the wave.

Step-by-step explanation:

please tell me if im incorrect, i'll fix it asap.

Therefore , the solution of the given problem of interest comes out to be

time = 3 years.

Simple interest is determined by summing the principal, interest rate, time frame, and other elements. The simple return is determined by dividing the principal by the interests rate along with the number of hours. The easiest way to calculate interest is with this formula. Interest is often determined as a percentage of a principal amount. He would only have to pay 50% of a 100% charge if he asked a buddy for a $100 loan and agreed to repay it with 5% interest. $100 (0.05) = $5. You should pay interest on the money you borrow, and you must add interest to any money you lend.

Here,

=>start * multiplier^t

=> multiplier = 1 + x % = 1.025

try n=1,

n=2,

n=3

So,

2800 *  1.025^n =3000

On comparing n=1,2,3

We get,

2800 *  1.025^3 = 3000

Thus , n=3 is the correct answer.

Therefore , the solution of the given problem of interest comes out to be

time = 3 years.

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The given expression is:
5m^2 + 9n^3 - mn^2 + 2m^3

This expression is a polynomial. The correct answer is option c.

It consists of four terms:

5m^2: This term is a monomial with a coefficient of 5 and a single variable, m, raised to the power of 2.

9n^3: This term is a monomial with a coefficient of 9 and a single variable, n, raised to the power of 3.

-mn^2: This term is a monomial with a coefficient of -1 and two variables, m raised to the power of 1 and n raised to the power of 2.

2m^3: This term is a monomial with a coefficient of 2 and a single variable, m, raised to the power of 3.

Therefore, The expression 5m^2 + 9n^3 - mn^2 + 2m^3 is a ploynomial. which is option c

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The probable question may be:

What is 5m^2+9n^3-mn^2+2m^3

choose the correct answer

a) monomial

b) binomial

c) polynomial

Answer:

  3.56 kg

Step-by-step explanation:

You want the mass of a model that is 45 cm tall and has a density of 1200 kg/m³ when the statue it is modeling is 270 cm tall, has a density of 2500 kg/m³, and a mass of 1600 kg.

The ratio of volumes of the model to the statue is the cube of the ratio of their heights:

  Vm/Vs = (Hm/Hs)³

  Vm = Vs(Hm/Hs)³ = (1600 kg)/(2500 kg/m³)·((45 cm)/(270 cm))³

  Vm ≈ 0.002963 m³

The mass of the model is the product of its volume and its density:

  Mm = Vm·ρ = (0.002963 m³)(1200 kg/m³) ≈ 3.56 kg

The mass of Justin's model is about 3.56 kg.

__

Additional comment

The relationship between density, volume, and mass is ...

  ρ = mass/volume

This can be rearranged to ...

  volume = mass/ρ

Which is the expression we used for Vs in the first section above.

(We used V and H for volume and height with 'm' and 's' signifying the model and the statue, respectively.)

<95141404393>

The mass of Justin's model is approximately 3.57 kg., rounded to 3 significant figures.

To find the mass of Justin's model, we can use the concept of mathematical similarity.

Mathematical similarity means that corresponding dimensions of two objects are proportional. In this case, Since the densities are also given, we can use the volume ratio to find the mass ratio.

Let's calculate the volume ratio first:

Volume ratio = (Height of model / Height of statue)^3

            = (45 cm / 270 cm)^3

            = (0.1667)^3

            = 0.00463

Now, using the density ratio:

Density ratio = Density of model / Density of statue

            = 1200 kg/m³ / 2500 kg/m³

            = 0.48

Finally, we can find the mass of Justin's model by multiplying the mass of the statue by the volume ratio and density ratio:

Mass of Justin's model = Mass of statue * Volume ratio * Density ratio

                     = 1600 kg * 0.00463 * 0.48

                     = 3.5712 kg

Rounding to 3 significant figures, the mass of Justin's model is approximately 3.57 kg.

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\(\begin{cases} f(x)=4x-9\\\\ g(x)=x+1 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ f(~~g(x)~~)=4[g(x)]-9\implies f(~~g(x)~~)=4[x+1]-9 \\\\\\ f(~~g(x)~~)=4x+4-9\implies \boxed{f(~~g(x)~~)=4x-5} \\\\[-0.35em] ~\dotfill\\\\ g(~~f(x)~~)=[f(x)]+1\implies g(~~f(x)~~)=[4x-9]+1 \\\\\\ g(~~f(x)~~)=4x-9+1\implies \boxed{g(~~f(x)~~)=4x-8}\)

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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The project is performing well at the end of WEEK 7.

1. The planned value (PV) at the end of WEEK 7 is $30,000.
2. The earned value (EV) at the end of WEEK 7 is $30,000.
3. The actual cost (AC) at the end of WEEK 7 is $30,000.
4. The cost variance (CV) at the end of WEEK 7 is $0.
5. The schedule variance (SV) at the end of WEEK 7 is $0.
6. The cost performance index (CPI) at the end of WEEK 7 is 1.0 (CV/AC).
7. The schedule performance index (SPI) at the end of WEEK 7 is 1.0 (EV/PV).
8. At the end of WEEK 7, this project is performing according to the plan. The CPI and SPI are both equal to 1.0, indicating that the project is on track in terms of cost and schedule. The cost variance (CV) and schedule variance (SV) being zero further support this conclusion, as it means that the project is meeting its planned budget and schedule.

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Algebric equations which has the same solution as 4 - 2(x - 5) = (x - 19)/4 are all equations which has a solution of 55/9.

The equation given is,

4 - (2x-5) = (x - 19)/4

16 - 4(2x - 5) = (x - 19)

16 - 8x + 20 = x - 19

All terms having a variable x is taken to one side and the numerical values are kept on the other side.

16 + 20 + 19 = x + 8x

9x = 55

x = 55/9

Therefore, equation which has the same solution as 4 - 2(x - 5) = (x - 19)/4 are all equations which has a solution of 55/9.

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Therefore, the probability that exactly 4 out of 20 randomly chosen college students are near-sighted is closest to 0.7988 or approximately 0.80.

To find the probability that exactly 4 out of 20 randomly chosen college students are near-sighted, we can use the binomial probability formula.

The formula for the probability of k successes in n trials, with a probability of success p in each trial, is given by:

\(P(X = k) = (n choose k) * p^k * (1 - p)^{(n - k)\)

In this case, n = 20, k = 4, and p = 0.28 (probability of a student being near-sighted).

Plugging in these values into the formula, we get:

\(P(X = 4) = (20 choose 4) * (0.28)^4 * (1 - 0.28)^{(20 - 4)\)

Calculating the values:

(20 choose 4) = 4845

\((0.28)^4\) ≈ 0.006859

\((1 - 0.28)^{(20 - 4)\) ≈ 0.19224

P(X = 4) ≈ 4845 * 0.006859 * 0.19224

≈ 0.7988

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