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GarryVolchara [31]

2 years ago

4

I HAVE TO TURN THIS IN IN 15 MINUTES HURRY PLZZZZZ

1 answer:

TEA [102]2 years ago

6 0

Answer:

16 feet

Step-by-step explanation:

2 x Pi(3.14159....) x 2.5

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The following histogram summarizes the number of points Nate has scored each game this season.

Ludmilka [50]

Answer:8/25

Step-by-step explanation:

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2 years ago

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GREYUIT [131]

I solve this question by hand and have attached images for you because it is very difficult or impossible to do it here . I do it as simple as I can and make it very comprehensive for you. Hopefully, you will understand.

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2 years ago

Michaela pays her cell phone service provider $49.95 per month for 500 minutes. any additional minutes used cost $0.15 each. in

lilavasa [31]

75 extra minutes because $61.20-$49.95=$11.25 and $11.25/$0.15=75.

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2 years ago

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Point T is at (–3, 7). What are the coordinates of point T' after Ry-axis ∘ Rx-axis?

dimaraw [331]

Given:

The point is T(-3,7).

To find:

The image T' after $R_{y-axis}\circ R_{x-axis}$ .

Solution:

$R_{y-axis}\circ R_{x-axis}$ , it means reflection across x-axis is followed by reflection across y-axis.

If a point is reflected across the x-axis, then

$(x,y)\to (x,-y)$

$T(-3,7)\to T_1(-3,-7)$

Then point is reflected across the y-axis. So,

$(x,y)\to (-x,y)$

$T_1(-3,-7)\to T'(3,-7)$

Therefore, the coordinates of point T' are (3,-7).

6 0

2 years ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function <em>f</em>, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to <em>x</em> :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to <em>y</em> :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to <em>y</em> :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to <em>z</em> :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

7 0

2 years ago