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3 years ago

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What is the constant of proportionality between the volume of the new box and the volume of the original box?8inches, 20 inches,

40inches

1 answer:

nexus9112 [7]3 years ago

8 0

It would be 6400 because you multiply them together and that's what u get

You might be interested in

7x(x+1.8)=0 please help !

lbvjy [14]

7x ( x + 1.8 ) = 0 → x = 0 or x = -1.8

<h3>Further explanation</h3>

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

<h2>D = b² - 4 a c</h2>

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

Let us now tackle the problem!

<u>Given :</u>

$7x ( x + 1.8 ) = 0$

<u>Solution :</u>

$(7x )( x + 1.8 ) = 0$

$(7x) = 0 \texttt{ or } (x + 1.8) = 0$

$x = 0 \div 7 \texttt{ or } x = 0 - 1.8$

$x = 0 \texttt{ or } x = - 1.8$

<h3>Therefore, the solution is x = { 0 , -1.8 }</h3>

<h3>Learn more</h3>

Solving Quadratic Equations by Factoring : brainly.com/question/12182022
Determine the Discriminant : brainly.com/question/4600943
Formula of Quadratic Equations : brainly.com/question/3776858

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number , Solution , Zero , Root

3 0

3 years ago

Read 2 more answers

Determine whether or not f is a conservative vector field. if it is, find a function f such that f = ∇f. (if the vector field is

gladu [14]

$\mathbf f$ is conservative if we can find a scalar function $f$ such that $\nabla f=\mathbf f$ . This is equivalent to solving the system of PDEs,

$\dfrac{\partial f}{\partial x}=2x-6y$

$\dfrac{\partial f}{\partial y}=-6x+10y-9$

Integrate both sides of the first PDF with respect to $x$ :

$f(x,y)=x^2-6xy+g(y)$

where $g$ is some function independent of $x$ . Then differentiatng with respect to $y$ , we have

$\dfrac{\partial f}{\partial y}=-6x+\dfrac{\mathrm dg}{\mathrm dy}=-6x+10y-9$

$\implies\dfrac{\mathrm dg}{\mathrm dy}=10y-9\implies g(y)=5y^2-9y+C$

and so $\mathbf f$ is indeed conservative, with

$f(x,y)=x^2-6xy+5y^2-9y+C$

3 0

3 years ago

Scenario: Does the age at which babies learn to crawl depend on the time of the year that the babies were born? Data were collec

sweet-ann [11.9K]

The age for when babies learn to crawl is different for Januar,May, and September.. so I guess yes?

4 0

3 years ago

Y^2 - 12y + 27 / y^2 - 6y - 27 <br> simply the rational equation.

Ulleksa [173]

The simplified rational expression is (y - 3)/(y + 3). Where y ≠ -3.

<h3>How to simplify a rational expression?</h3>

A rational expression is in the p/q form. Where p and q are polynomial functions.

To simplify this rational equation,

Factorize the polynomials in both numerator and denomiantor.
Cancel out common factors if any.
If the denominator and the numerator have no common factors except 1, then that is said to be the simplest form of the given rational expression.

<h3>Calculation:</h3>

The given rational equation is

$\frac{y^2 - 12y + 27 }{y^2 - 6y - 27}$

Factorizing the expression in the numerator:

y² - 12y + 27 = y² - 9y - 3y + 27

⇒ y(y - 9) - 3(y - 9)

⇒ (y - 3)(y - 9)

Factorizing the expression in the denominator:

y² - 6y - 27 = y² - 9y + 3y - 27

⇒ y(y - 9) + 3(y - 9)

⇒ (y + 3)(y - 9)

Since they have (y - 9) as the common factor, we can simplify,

$\frac{y^2 - 12y + 27 }{y^2 - 6y - 27}=\frac{(y-3)(y-9)}{(y+3)(y-9)}$

⇒ (y - 3)/(y + 3) where y ≠ -3(denomiantor)

Here there are no more common factors except 1; this is the simplest form of the given rational expression.

Learn more about simplifying rational expressions here:

brainly.com/question/1928496

#SPJ9

3 0

2 years ago

Which table represents a quadratic function?

polet [3.4K]

Answer:

Its A i just took the test

Step-by-step explanation:

7 0

3 years ago