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blsea [12.9K]
3 years ago
11

An expression involves subtracting two numbers from a positive number. Under what circumstances with the value expression be neg

ative? give an example
Mathematics
1 answer:
Svetach [21]3 years ago
7 0
So (positive integer)-x-y can be negative
so to get a negative number as your result/answer, x+y must be greater than (positve integer) so  for example


lets say (positive integer)=8
x+y must be greater than 8 to make the equation negative so
example
x=5
y=4
x+y=9
8-9=-1
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Calculus 3 chapter 16​
o-na [289]

Evaluate \vec F at \vec r :

\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k

Compute the line element d\vec r :

d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt

Simplifying the integrand, we have

\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt

Then the line integral evaluates to

\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}

3 0
2 years ago
The sequence 2,6,18,54 shows the number of sit-ups Alan can do each day.
jek_recluse [69]

Step-by-step explanation:

this sequence is geometric not arithmetic

HOw we know that ??

when we get a common difference  that must Be equal  

d=6-2=4  not equal to  d=18-6=12

So it is not arithmetic

but when we get the common ratio that also must be equal

r=6/2=18/6=54/18=3    equal

So it is geometric

By using this equation:

a(n)=a(1)*r^(n-1)

and we have a(1)=2 , r=3    

<u>Explicit rule:</u> a(n)=2*(3)^(n-1)

<u>Recursive rule:</u>  a(n)= r * a(n-1)

a(n-1) ⇒ priviuse term

SO:  a(n)= 3 * a(n-1)

For example:

a(3)= 3 * 6 =18

<em>I really hope this helps <3</em>

7 0
3 years ago
What is the median of the data in this stem-and-leaf plot?
dedylja [7]
32.5 is the correct answer
3 0
3 years ago
Read 2 more answers
Lonny is a salesman and earns $75 for each sale he makes. Lonny has a sales
ira [324]

Answer:

5x-7+8=-27

Step-by-step explanation:

5x-7+8=-27

3 0
3 years ago
Tammy has 4 times as many books as Willy . Willy has 180 fewer books than Tammy . How many books does Willy have ?​
enyata [817]

Answer:

60 books

Step-by-step explanation:

let the number of books Willy has be x , then

Tammy has 4x books

Willy has 180 fewer books , that is Tammy has 180 more than Willy , so

4x = x + 180 ( subtract x from both sides )

3x = 180 ( divide both sides by 3 )

x = 60

Thus

Willy has 60 books andTammy has 4 × 60 = 240 books

which is 180 more than Willy

7 0
1 year ago
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