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2 years ago

Does anyone know #13????

Mathematics

1 answer:

9966 [12]2 years ago

6 0

I believe it is 3. since it touches the x-axis in three areas

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What is the simplest form of 12/15

MA_775_DIABLO [31]

Simplest form of 12/15 is 4/5

To simplify the fraction, you need to divide both numerator (12) and denominator (15) by a number that goes into both numbers which is 3. You then end up with your fraction

6 0

3 years ago

Read 2 more answers

A rental car costs $65 for one day plus an additional $0.35 per mile.

vredina [299]

Answer:

$105.25

Step-by-step explanation:

$0.35 x 115 = $40.25

$40.25 + $65 = $105.25

Have a great day!

5 0

3 years ago

Read 2 more answers

Whats is 183x194??????????

ella [17]

183 x 194 = 35,502

you could use a calculator or put it into the overlap form

5 0

3 years ago

Read 2 more answers

F(x, y, z) = yzexzi + exzj + xyexzk,

Ghella [55]

$\nabla f(x,y,z)=\mathbf F(x,y,z)\iff\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j+\dfrac{\partial f}{\partial z}\,\mathbf k=yze^{xz}\,\mathbf i+e^{xz}\,\mathbf j+xye^{xz}\,\mathbf k$

$\dfrac{\partial f}{\partial x}=yze^{xz}$
$\implies f(x,y,z)=\dfrac{yz}ze^{xz}+g(y,z)=ye^{xz}+g(y,z)$

$\dfrac{\partial f}{\partial y}=e^{xz}=e^{xz}+\dfrac{\partial g}{\partial y}$
$\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

$\dfrac{\partial f}{\partial z}=xye^{xz}=xye^{xz}+\dfrac{\mathrm dh}{\mathrm dz}$
$\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

$f(x,y,z)=ye^{xz}+C$

$\mathbf r(t)=(t^2+5)\,\mathbf i+(t^2-1)\,\mathbf j+(t^2-5)\,\mathbf k$
$\implies\mathbf r(0)=5\,\mathbf i-\mathbf j-5\,\mathbf k$
$\implies\mathbf r(5)=30\,\mathbf i+24\,\mathbf j+20\,\mathbf k$

By the gradient theorem, we have for any path $\mathcal C$ originating at the point (5, -1, -5) and terminating at the point (30, 24, 20),

$\displaystyle\int_{\mathcal C}\mathbf F\cdot\mathrm d\mathbf r=f(\mathbf r(5))-f(\mathbf r(0))=f(30,24,20)-f(5,-1,-5)$
$\implies\displaystyle\int_{\mathcal C}\mathbf F\cdot\mathrm d\mathbf r=24e^{600}+e^{-25}$

4 0

3 years ago

3. In class, you learned how to find the area of irregular shapes by breaking into regular shapes. For the picture below, you ar

irinina [24]

Answer:

57.5

Step-by-step explanation:

if you break it down into smaller shapes, there's a semicircle, three triangles and a rectangle.

circle πr² = π 2² = 4π² = 39.5

triangle 1 bh = (3)(2) = 6

triangle 2 bh = (4)(1) = 4

triangle 3 bh = (2)(4) = 8

Add them all up to get total area

6 + 4 + 8 + 39.5 = 57.5

6 0

3 years ago