factorise completely m^2n-mn^2

The equation of the quadratic function that models the data is y = x^2 + 3x + 4

A quadratic function is represented as:

y = ax^2  +bx + c

Next, we enter the data values on the table to a graphing calculator.

From the graphing calculator, we have:

a = 1, b = 3 and c = 4

Substitute these values in y = ax^2  +bx + c

So, we have

y  = x^2 + 3x + 4

Hence, the equation of the quadratic function that models the data is y = x^2 + 3x + 4 and the scatter plot is (a)

Read more about scatter plot at:

https://brainly.com/question/13984412

#SPJ1

Answer:

21120 Feet

6.437376 Kilometer

Step-by-step explanation:

Looked it up

Answer:

7040 yd and 21120 ft

Step-by-step explanation:

1 mile = 1760 yards

1 yard = 3 feet

4*1760=7040 yards per day

7040*3=21120 feet per day

8) The percent of people that said that Pinocchio was their favorite Disney Movie is of: 28%.

9) The percent of people that said that Pinocchio or Cars was their favorite Disney movie is of: 39%.

10) The two movies that about half the people say were their favorite is of: Pinocchio and Toy Story.

From the pizza graph, the sum of all the percentages must be of 100%, hence the Pinocchio percentage is obtained as follows:

10 + 11 + 14 + 15 + 22 + P = 100

72 + P = 100

P = 100 - 72

P = 28%.

Then the percentage for Pinocchio or Cars is of:

28 + 11 = 39%.

The percentage for Pinocchio or Toy Story is of:

28 + 22 = 50%.

(about half).

More can be learned about percentages at https://brainly.com/question/24877689

#SPJ1

To write an equation for an elliptic curve over a finite field Fp or Fq, we can use the Weierstrass equation in the form: \(y^2 = x^3 + ax + b\)

where a and b are constants in the field Fp or Fq.

the elliptic curve \(y^2 = x^3 + 2x + 3 (mod 17)\) has points (2, 9) and (5, 1) on the curve, which are not additive inverses. The sum of these points can be determined using the elliptic curve point addition algorithm.

Suppose we have an elliptic curve over Fp with the equation:\(y^2 = x^3 + ax + b\)

For simplicity, let's assume p = 17, a = 2, and b = 3.

The equation becomes:\(y^2 = x^3 + 2x + 3 (mod 17)\)

To find points on the curve, we can substitute different values of x and calculate the corresponding y values.

Let's choose x = 2: \(y^2 = 2^3 + 2(2) + 3 = 8 + 4 + 3 = 15 (mod 17)\)

Taking the square root of \(15 (mod 17)\), we find y = 9.\(y^2 = x^3 + 2x + 3 (mod 17)\)

So, the point (2, 9) lies on the curve. Similarly, we can choose another value of x, let's say x = 5: \(y^2 = 5^3 + 2(5) + 3 = 125 + 10 + 3 = 138 (mod 17)\)

Taking the square root of \(138 (mod 17)\), we find y = 1. So, the point (5, 1) also lies on the curve. To find the sum of these points, we can use the elliptic curve point addition algorithm.

Note that in this case, the points (2, 9) and (5, 1) are not additive inverses of each other, as their y-coordinates are not negations of each other.

learn more about Weierstrass equation

https://brainly.com/question/33067460

#SPJ11

Answer:

c 1602

Step-by-step explanation:

there are 36 months in 3 years but he pays every 4 months so now we do 36/4 to get 9 after we do 178x9 to get 1602

Step-by-step explanation:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Answer:

Please check the explanation.

Step-by-step explanation:

Using the formula

I = Prt

here

P = The principle

t = Time in years

I = Simple interest

r = Annual interest rate

Let us fill the table using the formula:

I = Prt

ROW ONE:

Given

P = $100

r = 5% = 0.05

t = 3

Determine:

I = ?

Using the formula

I = Prt

I = 100 × 0.05 × 3

I = $15

ROW TWO:

Given

P = $500

r = 4% = 0.04

I = $20

Determine:

t = ?

Using the formula

I = Prt

20 = Prt

20 = 500 × 0.04 × t

t = 20 / (500 × 0.04)

t = 20 / 20

t = 1 year

ROW THREE:

Given

t = 7

r = 10% = 0.1

I = $35

Determine:

P = ?

Using the formula

I = Prt

35 = P(0.1) (7)

P = 35 / (0.1×7)

P = $50

ROW FOUR:

Given

P = $200

t = 2 years

I = $6

Determine:

r = ?

Using the formula

I = Prt

6 = 200 × r × 2

r = 6 / (200×2)

r = 6 / 400

t = 0.015

t = 1.5%             ∵ 1.5% = 0.015

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

To know more about function, visit

brainly.com/question/5245372

#SPJ1

Approximately 99.7% ( or 99.73% ) population  lies within  3 standard deviation   ( μ - 3σ , μ + 3σ ) = ( 38, 68 ) .

Why is there a standard deviation?

Empirical rule holds only for normal populations and states that

approximately 68% ( or 68.27%) population lies within  standard deviation

                          ( μ - σ , μ + σ ) = ( 48 , 58 )

Approximately 95% ( or 95.45% ) population  lies within 2  standard deviation  

                    ( μ - 2σ , μ + 2σ ) = ( 43, 63 )

Approximately 99.7% ( or 99.73% ) population  lies within  3 standard deviation  

                        ( μ - 3σ , μ + 3σ ) = ( 38, 68 )

Learn more about standard deviation  

brainly.com/question/16555520

#SPJ4

If you save $2,015.82 every year at an interest rate of 8%, you can retire in 30 years and live another 25 years while still having enough money to spend $80,000 per year.

To calculate the amount you need to save per year for the next 30 years, we can use the future value of an ordinary annuity formula.

The future value of an ordinary annuity formula is:

\(FV = P \cdot \left(\frac{(1 + r)^n - 1}{r}\right)\)

Where:

FV = Future value of the annuity

P = Payment amount per period

r = Interest rate per period

n = Number of periods

In this case:

P = Amount you need to save per year

r = 8% = 0.08 (annual interest rate)

n = 30 (number of years)

We want the future value (FV) to be equal to the amount needed to spend per year during retirement, which is $80,000.

Using the formula, we can calculate the amount you need to save per year:

\(\$80,000 = P \cdot \left[\left(1 + 0.08\right)^{30} - 1\right] / 0.08\$\)

Simplifying the equation:

\($80000 = P \cdot [1.08^{30} - 1] / 0.08$\)

$80,000 * 0.08 = P * [1.08³⁰ - 1]

$6,400 = P * [1.08³⁰ - 1]

Dividing both sides by [1.08³⁰ - 1]:

\($P = \dfrac{\$6400}{1.08^{30} - 1}$\)

Calculating [1.08³⁰ - 1]:

[1.08³⁰ - 1] ≈ 3.172024

Dividing $6,400 by 3.172024:

P ≈ \($\frac{6,400}{3.172024} \approx$ $2,015.82\) (rounded to the nearest cent)

Therefore, you need to save approximately $2,015.82 per year into your investment account at the end of each year for the next 30 years.

To know more about the interest rate refer here,

https://brainly.com/question/30007732#

#SPJ11

we know that the cos(θ) is -(3/5), however θ is in the II Quadrant, where the cosine is negative whilst the sine is positive, meaning the fraction is really (-3)/5, so

\(cos(\theta )=\cfrac{\stackrel{adjacent}{-3}}{\underset{hypotenuse}{5}}\qquad \qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}\)

\(\pm\sqrt{5^2-(-3)^2}=b\implies \pm\sqrt{25-9}=b\implies \pm 4=b\implies \stackrel{II~Quadrant}{+4=b} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill csc(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{4}}~\hfill\)

Step-by-step explanation:

-Zero (0)

-Positive Integers (Natural numbers)

-Negative Integers (Additive inverse of Natural Numbers)

Answer:

-0.5 is the larger average rate

Step-by-step explanation:

-3.142 is less than -0.5

Step-by-step explanation:

x1=6

y1=8

x2=1

y2=6

then ,

distance =

\( \sqrt{(6 - 1) {?}^{2} { + (8 - 6)}^{2} } \\ \sqrt{25 + \)

Answer:

pay attention in class or be gifted with super smarts

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

4x - 2 = 2x + 2

4(2) - 2 = 2(2) + 2

x = 2

Answer:

Step-by-step explanation:

factors of 8

Answer:

F- of a 8* i think

Step-by-step explanation:

b=48

1) Solving for b, we'll proceed this way:

b/4 = 12 Multiply both sides by 4, to eliminate the fraction

b= 48

2) So the answer is b=48

Answer:

The third one, I think.

Step-by-step explanation:

Hopes this helps. <3

Nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the sierra Nevada mountains.

Early snowfall prevented the Central Pacific from starting construction on Tunnel No. 6, or the Summit Tunnel, in August 1865. It was built using a variety of engineering and construction methods and was located more than seven thousand feet above sea level.

When the workmen finally broke through, they discovered that they were only two inches off from the calculations that were used to locate its end points and central shaft. The length of the tunnel that was built through the Sierra Nevada mountains is therefore given as nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the Sierra Nevada mountains.

Read more about granite on:

https://brainly.com/question/880155

#SPJ4

The cost of insurance for a rental apartment in a brick building in a historic downtown neighborhood is about $200-$250 per year for $25,000 worth of belongings.

Shawn can insure his belongings for around $200-$250 per year if he wishes to insure his belongings while renting a rental apartment in a brick building located in a historic, downtown neighborhood. The cost of renters insurance varies depending on the amount of coverage you need, your location, and the insurance provider.

A typical renters insurance policy provides coverage for personal property, liability, and additional living expenses in the event of a disaster or theft. The cost of insuring $25,000 worth of belongings in a rental apartment in a brick building located in a historic, downtown neighborhood is estimated to be around $200-$250 per year.

You can learn more about insurance at: brainly.com/question/989103

#SPJ11

Answer:

Step-by-step explanation:

There are 3 blue cubes, 8 ref cubes and 4 yellow cubes, which gives a total of 15 cubes.

Now, if you pick 360 times from the bag, the chances to get a blue cube is 100%, because there's only 15 cubes in total. For trial number 16, you wouldn't have any more cubes.

Therefore, after 360 attempts, there's a 100% probability of picking a blue cube.

Step-by-step explanation:

length = x + 2

width = x

x + x + (x+2) + (x+2) = 36 ft

4x + 4 = 36 ft

4x = 32 ft

x = 32 ÷ 4

x = 8 ft

dimensions = length x width

= (x+2) × x

= (8+2) × 8

= 10 ft × 8 ft

Answer:

Miguel has video games = 14

Beth has video games = 10

Step-by-step explanation:

Miguel has video games = m

Beth has video games = b

We make the equations:

m=b+4 (Miguel has  4 more video games than Beth)

m+b=24 (together they have a total of 24 video games)

So, the system of equations is:

\(m=b+4\\m+b=24\)

Now, solving these system of equations to find values of m and b

Let:

\(m=b+4--eq(1)\\m+b=24--eq(2)\)

Put value of m from equation 1 into equation 2

\(m+b=24\\b+4+b=24\\2b=24-4\\2b=20\\b=\frac{20}{2}\\b=10\)

We get value of b: b=10

Now, finding value of m by putting value of b in equation 1

\(m=b+4\\m=10+4\\m=14\)

So, We get value of m: m= 14

Therefore:

Miguel has video games = m = 14

Beth has video games = b = 10

Answer:

m+b=24

m=b+4

Step-by-step explanation:

on edg

The graph of f(x) = x + 3 and g(x) = x is sketched using the geogebra tool. The way of determining the graph of f(x) + g(x) is by adding the y-coordinate of g(x) to the y-coordinate of f(x).

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

The graph of f(x) = x + 3 and g(x) = x is sketched using the geogebra tool. The way of determining the graph of f(x) + g(x) is by adding the y-coordinate of g(x) to the y-coordinate of f(x).

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

10x2 - 5 (the 2 has to be small too.)

3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3

This means that 3⁴ is 3 times larger than 3³.

5³ is 5 times larger than 5².

5³ / 5² = (5 × 5 × 5) / (5× 5) = 5

7¹⁰ is 49 times larger than 7⁸.

7¹⁰/ 7⁸ = 7² =49

17⁶ is 289 times larger than 17⁴.

17⁶ /17⁴ = 289

Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ1

The solution when solved for b is 14 degrees because angles b and b + 56 are vertically opposite.

When a transversal cuts two parallel lines, some of the angles become congruent.

From the given diagram, the given angles are equal according to the vertical angles theorem.

Both angles are vertically opposite become they meet at a point of intersection.

Hence 5b = b + 56

5b - b = 56

4b = 56

b = 56/4

b = 14

Hence the solution when solved for b is 14 degrees because angles b and b + 56 are vertically opposite.

Learn more on angles here: https://brainly.com/question/16810065