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Vinil7 [7]
4 years ago
12

4. What number represents 125.638 rounded tothe nearest hundredth?​

Mathematics
1 answer:
serious [3.7K]4 years ago
7 0

Answer:

125.64

Step-by-step explanation:

Since the 8 is in the hundredths place and is higher than 5 that would round the 3 to a 4.

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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

so

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

8 0
3 years ago
Which statement is an example of the distributive property?
Alex777 [14]

Answer:

3(2+15)= 3(2) + 3(15)

Step-by-step explanation:

4 0
3 years ago
Julieta wants to attend a 4-year private university that costs $40,000 per year for tuition. Her parents plan to contribute a qu
Bumek [7]

Answer:

$5,000

Step-by-step explanation:

First, you have to determine the total amount of money she needs to save to cover the cost of the tuition by subtracting the financial aid, the scholarship and the amount her parents plan to contribute from the total cost of the tuition:

40,000-(40,000/4)-(40,000*25%)-5,000

40,000-10,000-10,000-5,000

40,000-25,000= 15,000

She needs to save a total amount of 15,000. Then, you need to divide this amount by 3:

15,000/3= $5,000

Julieta will need to save $5,000 each year over the next 3 years before her first year.

6 0
3 years ago
Why do we use scientific notation, and what are the parts of an expression written in scientific notation?
kiruha [24]

Answer:

We use scientific notation as sometimes numbers are so so big, that it becomes inconvenient for us to write the actual number.

Step-by-step explanation:

For example, if you have 9 billion of something, you wouldn't want to write those 9 zeroes all the time.

When writing in scientific notation we count the number of decimal places to when we have one non-zero integer to the right of the decimal place. We then write that number and multiply it by ten to the number of decimal places you counted earlier.

e.g. 4.8 X 10^7

4 0
3 years ago
Read 2 more answers
Unit 7: Polygons &amp; Quadrilaterals<br> Nomework 4: Rhombi and Squares
Alik [6]

Answer:

Hey mate, here is your answer. Hope it helps you.

Step-by-step explanation:

6x-21 —->

x=21+6

=27

5 0
3 years ago
Read 2 more answers
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