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3 years ago

James has 16 pounds of coffee that he wants to distribute evenly between 2/3 pound bags. How many bags does he need? *

Mathematics

1 answer:

german3 years ago

5 0

Answer:

24 bags

Step-by-step explanation:

16 is 48/3. 48 divided by 2 is 24.

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Kay's mother taught her how to make handmade ornaments to sell at a craft fair. Kay rented a table at the fair for $30 and set u

leva [86]

Answer:

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3 years ago

Jesse earn $420 a week ,and he work 5 days a week what is his daily wage

anzhelika [568]

Quick division: $420/5 days = $84/day

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3 years ago

find an equation of the tangent plane to the given parametric surface at the specified point. x = u v, y = 2u2, z = u − v; (2, 2

Alexxandr [17]

The surface is parameterized by

$\vec s(u,v) = x(u, v) \, \vec\imath + y(u, v) \, \vec\jmath + z(u, v)) \, \vec k$

and the normal to the surface is given by the cross product of the partial derivatives of $\vec s$ :

$\vec n = \dfrac{\partial \vec s}{\partial u} \times \dfrac{\partial \vec s}{\partial v}$

It looks like you're given

$\begin{cases}x(u, v) = u + v\\y(u, v) = 2u^2\\z(u, v) = u - v\end{cases}$

Then the normal vector is

$\vec n = \left(\vec\imath + 4u \, \vec\jmath + \vec k\right) \times \left(\vec \imath - \vec k\right) = -4u\,\vec\imath + 2 \,\vec\jmath - 4u\,\vec k$

Now, the point (2, 2, 0) corresponds to u and v such that

$\begin{cases}u + v = 2\\2u^2 = 2\\u - v = 0\end{cases}$

and solving gives $u = v = 1$ , so the normal vector at the point we care about is

$\vec n = -4\,\vec\imath+2\,\vec\jmath-4\,\vec k$

Then the equation of the tangent plane is

$\left(-4\,\vec\imath + 2\,\vec\jmath - 4\,\vec k\right) \cdot \left((x-2)\,\vec\imath + (y-2)\,\vec\jmath + (z-0)\,\vec k\right) = 0$

$-4(x-2) + 2(y-2) - 4z = 0$

$\boxed{2x - y + 2z = 2}$

6 0

2 years ago

Use a number line to help you find the sum of -24+8

Triss [41]

Answer:

-16

Step-by-step explanation:

When adding a negative and a positive number, you need to keep in mind that your are essentially adding.

so if I have a number line

-24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14,,,,

you will start at -24 and will go up the number line (to the right) 8 times and that should get you your answer.

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3 years ago

Seth is going to be a junior in high school, and the college he wants to go to costs

algol [13]

Answer:

289.50

Step-by-step explanation:

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4 years ago