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gizmo_the_mogwai [7]

4 years ago

9

It takes 2 gallons of milk to make a batch of ice cream. How many gallons of milk does it take to make 15.2 batches of ice cream

?

1 answer:

TiliK225 [7]4 years ago

4 0

Answer:

30.4

Step-by-step explanation:

2 times 15.2

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Fossils are formed when plants or animals are

Simora [160]

C.) Buried under mud. Fossils form when the mud traps the plant/animal and hardens, cementing the form of the body, which is a fossil.

5 0

3 years ago

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Given the two similar triangles below. What is the measure of x?

MaRussiya [10]

Answer:

x=2.4

Step-by-step explanation:

as the 2 triangles are similar,

$\frac{6}{x} = \frac{5}{2}$

therefore ;

$x = \frac{6 \times 2}{5}$

$x = 2.4$

3 0

3 years ago

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What is the slope of a line parallel to the graph of y-2=4(x+1)

Brrunno [24]

Answer:

4

Step-by-step explanation:

Basándonos en el hecho de que 2 rectas paralelas L1 y L2 son paralelas como lo indica el problema sabemos que m1=m2

por lo tanto si resolvemos la ecuación punto-pendiente que tenemos alli

y-2=4(x+1)

y-2=4x+4

y=4x+4+2

y=4x+6

De esta forma tendríamos la tan conocida ecuación de una recta

y=mx+b

Donde "m" es la pendiente de dicha recta y "b" es el punto de interseccion con el eje y

por lo tanto en este caso la pendiente m=4

8 0

4 years ago

!!!!!!!!!!!!!!!!!!!!

notsponge [240]

Option 3

The solution for given expression is $\frac{(x - 4)(x - 4)}{(x + 3)(x + 1)}$

<h3><u>Solution:</u></h3>

Given that we have to divide,

$\frac{x^2 -16}{x^2 + 5x + 6} \div \frac{x^2 + 5x + 4}{x^2 -2x - 8}$ ---- (A)

Let us first factorize each term and then solve the sum

Using $a^2 - b^2 = (a + b)(a - b)$

$x^2 -16 = x^2 - 4^2 = (x + 4)(x -4)$ ----- (1)

$x^2 + 5x + 6 = (x + 2)(x + 3)$ ----- (2)

$x^2 + 5x + 4 = (x+1)(x + 4)$ ---- (3)

$x^2 -2x - 8 = (x-4)(x + 2)$ ---- (4)

Now substituting (1), (2), (3), (4) in (A) we get,

$\frac{(x + 4)(x -4)}{(x +2)(x +3)} \div \frac{(x+1)(x+4)}{(x-4)(x +2)}$

To do division with fractions, we turn the second fraction upside down and change the division symbol to a multiplication symbol at the same time. Then we treat this as a multiplication problem, by multiplying the numerators and the denominators separately.

$\frac{(x + 4)(x -4)}{(x +2)(x +3)} \times \frac{(x - 4)(x + 2)}{(x + 1)(x + 4)}$

On cancelling terms we get,

$= \frac{(x -4)(x-4)}{(x + 3)(x + 1)}$

Thus option 3 is correct

6 0

4 years ago

Show that ( 2xy4 + 1/ (x + y2) ) dx + ( 4x2 y3 + 2y/ (x + y2) ) dy = 0 is exact, and find the solution. Find c if y(1) = 2.

fredd [130]

$\dfrac{\partial\left(2xy^4+\frac1{x+y^2}\right)}{\partial y}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

$\dfrac{\partial\left(4x^2y^3+\frac{2y}{x+y^2}\right)}{\partial x}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

so the ODE is indeed exact and there is a solution of the form $F(x,y)=C$ . We have

$\dfrac{\partial F}{\partial x}=2xy^4+\dfrac1{x+y^2}\implies F(x,y)=x^2y^4+\ln(x+y^2)+f(y)$

$\dfrac{\partial F}{\partial y}=4x^2y^3+\dfrac{2y}{x+y^2}=4x^2y^3+\dfrac{2y}{x+y^2}+f'(y)$

$f'(y)=0\implies f(y)=C$

$\implies F(x,y)=x^2y^3+\ln(x+y^2)=C$

With $y(1)=2$ , we have

$8+\ln9=C$

so

$\boxed{x^2y^3+\ln(x+y^2)=8+\ln9}$

8 0

3 years ago