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velikii [3]
2 years ago
6

When rounded to the nearest ten i become 500 what numbers could i be?

Mathematics
1 answer:
Feliz [49]2 years ago
6 0
Any number from 495 to 504 can be the answer.
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Evaluate 10/16 ÷ 5/16
VikaD [51]

Answer:

2

Step-by-step explanation:

10/16 ÷ 5/16

0.625 ÷ 0.3125

2

8 0
3 years ago
Suppose F⃗ (x,y)=(x+3)i⃗ +(6y+3)j⃗ . Use the fundamental theorem of line integrals to calculate the following.
Scorpion4ik [409]

In order to use the fundamental theorem of line integrals, you need to find a scalar potential function - that is, a scalar function <em>f(x, y)</em> for which

grad <em>f(x, y)</em> = <em>F</em><em>(x, y)</em>

This amounts to solving for <em>f</em> such that

∂<em>f</em>/d<em>x</em> = <em>x</em> + 3

∂<em>f</em>/∂<em>y</em> = 6<em>y</em> + 3

Integrating both sides of the first equation with respect to <em>x</em> gives

<em>f</em> = 1/2 <em>x</em> ^2 + 3<em>x</em> + <em>g(y)</em>

Differentiating with respect to <em>y</em> gives

∂<em>f</em>/∂<em>y</em> = d<em>g</em>/d<em>y</em> = 6<em>y</em> + 3

Solving for <em>g</em> gives

<em>g</em> = ∫ (6<em>y</em> + 3) d<em>y</em> = 3<em>y</em> ^2 + 3<em>y</em> + <em>C</em>

and hence

<em>f(x, y)</em> = 1/2 <em>x</em> ^2 + 3<em>x</em> + 3<em>y</em> ^2 + 3<em>y</em> + <em>C</em>

<em />

(a) By the fundamental theorem, the integral of <em>F</em> along any path starting at the point <em>P</em> (1, 0) and ending at <em>Q</em> (3, 3) is

∫ <em>F</em><em>(x, y)</em> • d<em>r</em> = <em>f</em> (3, 3) - <em>f</em> (1, 0) = 99/2 - 7/2 = 46

(b) Now we're talking about a closed path, so the integral is simply 0. We can verify this by checking the integral over the origin-containing paths:

• From the origin to <em>P</em> :

∫ <em>F</em><em>(x, y)</em> • d<em>r</em> = <em>f</em> (1, 0) - <em>f</em> (0, 0) = 7/2 - 0 = 7/2

• From <em>Q</em> back to the origin:

∫ <em>F</em><em>(x, y)</em> • d<em>r</em> = <em>f</em> (0, 0) - <em>f</em> (3, 3) = 0 - 99/2 = -99/2

Then the total integral is 7/2 + 46 - 99/2 = 0, as expected.

6 0
3 years ago
A DISASTER RELIEF GROUP DELIVERS 395 FIRST AID KITS. THE GROUP DELIVERS AN EQUAL NUMBER OF FIRST AID KITS TO 3 COUNTRIES. HOW MA
postnew [5]
395/3
about 132
Hope this helped
7 0
3 years ago
Read 2 more answers
8775 find the prime factorization of the number
OLEGan [10]

8775

/     \

3     2925

/       \

3      975

/       \

3      325

/       \

5      65

/       \

5      13

/       \

13      1


Prime Factors: 3, 3, 3, 5, 5, 13

5 0
3 years ago
2. The sum of two times a<br> number squared and four
MaRussiya [10]

Answer:

2·x²+4

Step-by-step explanation:

The sum is an answer to an addition problem and 2 times a number means to multiply by 2.  That number is squared so you it's to the second power.

5 0
3 years ago
Read 2 more answers
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