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3 years ago

What is another way to write the absolute inequality |p|<12?

Mathematics

1 answer:

GaryK [48]3 years ago

7 0

Answer:

$-12$

Step-by-step explanation:

$\left|p\right|$

The interval notation is (-12, 12).

$-12$

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How long does it take the ball to hit the ground when dropped from 50ft.?

bixtya [17]

I hope it's about 1.8 sec

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3 years ago

Evaluate the surface integral ModifyingBelow Integral from nothing to nothing Integral from nothing to nothing With Upper S f (x

kykrilka [37]

Parameterize $S$ by

$\vec s(u,v)=6\cos u\sin v\,\vec\imath+6\sin u\sin v\,\vec\jmath+6\cos v\,\vec k$

with $0\le u\le2\pi$ and $0\le v\le\frac\pi2$ . Take a normal vector to $S$ ,

$\dfrac{\partial\vec s}{\partial v}\times\dfrac{\partial\vec s}{\partial u}=36\cos u\sin^2v\,\vec\imath+36\sin u\sin^2v\,\vec\jmath+36\cos v\sin v\,\vec k$

which has norm

$\left\|\dfrac{\partial\vec s}{\partial v}\times\dfrac{\partial\vec s}{\partial u}\right\|=36\sin v$

Then the integral of $f(x,y,z)=x^2+y^2$ over $S$ is

$\displaystyle\iint_Sx^2+y^2\,\mathrm dS=\iint_S\left((6\cos u\sin v)^2+(6\sin u\sin v)^2\right)\left\|\frac{\partial\vec s}{\partial v}\times\frac{\partial\vec s}{\partial u}\right\|\,\mathrm du\,\mathrm dv$

$=\displaystyle36^2\int_0^{\pi/2}\int_0^{2\pi}\sin^3v\,\mathrm du\,\mathrm dv=\boxed{1728\pi}$

6 0

3 years ago

Solving one to two step equations . algebra 1 .

frozen [14]

Answer:

1.) k = 5

2.) n = -20

3.) p = -13

4.) m = -450

5.) b = -38

6.) n = -24

7.) x = 21

8.) x = 12

9.) b = -2

10.) b = 5

Step-by-step explanation:

To solve all equations, do the reciprocal, or opposite of what is being done. For example, if a number and a variable are being multiplied, you would divide by the number to solve.

1.) 55 = 11k

(11 and k are being multiplied, so you would divide)

Divide by 11 on both sides:

55 = 11k

/11 /11

5 = k

2.) Add 15 on both sides:

n - 15 = -35

+15 +15

n = -20

3.) Divide by -6 on both sides:

78 = -6p

/-6 /-6

-13 = p

4.) Multiply by 18 on both sides:

m/18 = -25

18(m/18) = (-25)18

m = -450

5.) Add 20 on both sides:

18 = -20 - b

+20 +20

38 = -b

Divide by -1 on both sides:

38 = -b

/-1 /-1

-38 = b

6.) Subtract 12 on both sides:

12 + n/4 = 6

-12 -12

n/4 = -6

Multiply by 4 on both sides:

4(n/4) = (-6)4

n = -24

7.) Multiply by 2 on both sides:

2(-7 + x/2) = (7)2

-7 + x = 14

Add 7 on both sides:

-7 + x = 14

+7 +7

x = 21

8.) Subtract 2 on both sides:

-4x + 2 = -22

-2 -2

-4x = -24

Divide by -4 on both sides:

-4x = -24

/-4 /-4

x = 12

9.) Add 9 on both sides:

7 = -8b - 9

+9 +9

16 = -8b

Divide by -8 on both sides:

16 = -8b

/-8 /-8

-2 = b

10.) Multiply by -3 on both sides:

-3(b - 14/-3) = (3)-3

b - 14 = -9

Add 14 on both sides:

b - 14 = -9

+14 +14

b = 5

3 0

3 years ago

A farmer has both pigs and chickens on his farm there are 78 fee and 27 heads how many pigs and how many chickens are there

Andre45 [30]

Assuming health non-mutated animals:
$Feet = 4*Pigs + 2*Chickens$
$Heads = Pigs + Chickens$

By back substitution:
$78 = 4*(27-Chickens) + 2*Chickens$
$78 = 108 -2*Chickens$
$-30 = -2*Chickens$
$Chickens= 15$

Then:
$27 = Pigs + 15$
$Pigs = 12$

To check:
$Feet = 4*Pigs + 2*Chickens$
$78 = 4*12 + 2*15$
$78 = 48 + 30$
$78 = 78$ CHECKS

6 0

3 years ago

PLEASE HELPPP! i dont understand

forsale [732]

I think you just add 6 to the output each time the input increases by 1

3 0

2 years ago