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2 years ago

89,235 written in expanded form? (2 points)

Mathematics

1 answer:

Rashid [163]2 years ago

4 0

A because, all the numbers multiplied by those factors equals their spot in the number

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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

$8+\ln9=C$

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

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2 years ago

Find the center of the circle that can be circumscribed about EFG with E(4, 4), F(4, 2), G(8, 2). (3, 6) (4, 2) (4, 4) (6, 3)

Lesechka [4]

Answer:

(6,3)

Step-by-step explanation:

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2 years ago

Find the measure of angle X.

densk [106]

Answer:

x = 23 degrees

Because if you look at diagram x is vertical to angle FBC, and angle FEC and angle EBA are alternate interior angles so they are equal to each other, and AC is a straight line which means it equals to 180 degrees.

$4x+65+x = 180$

x = 23 degrees

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1 year ago

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What is Eight decreased by 3 times a number is 2

algol [13]

Answer:

8- 3x = 2 I think this is

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2 years ago

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The box plot show the weights in ounces of 15 different bags of almonds. About how many bags contained less than 27 ounces:

andre [41]

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the box plot is not given. A general approach to the question, is as follows:

First, identify the 27 mark on the box plot.

Next, count the number of data less than 27.

Take, for instance, there are 6 dots or marks before 27;

This means that 6 bags contain less than 27 ounces

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3 years ago