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nikklg [1K]
1 year ago
8

Hi I'm the mom I would like some help with this

Mathematics
1 answer:
faltersainse [42]1 year ago
6 0

Concept

Quotient the number obtained by dividing one number by another Dividing 10 by 5 gives a quotient of 2.

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At what points does the curve r(t) = ti (4t − t2)k intersect the paraboloid z = x2 y2? (if an answer does not exist, enter dne.)
Aleonysh [2.5K]
\mathbf r(t)=x(t)\,\mathbf i+y(t)\,\mathbf j+z(t)\,\mathbf k=t\,\mathbf i+(4t-t^2)\,\mathbf k
\implies \begin{cases}x(t)=t\\y(t)=0\\z(t)=4t-t^2\end{cases}

So the paraboloid is given by

z(t)=x(t)^2y(t)^2\iff 4t-t^2=0

which holds for t^2-4t=t(t-4)=0, i.e. when t=0 and t=4.

To make sure this is correct, plug in t=0 and t=4 to find out the value of \mathbf r(t), and see if these points are on the paraboloid.

\mathbf r(0)=0\,\mathbf i+0\,\mathbf j+0\,\mathbf k\implies (0,0,0)
0=0^2\times0^2

\mathbf r(4)=4\,\mathbf i+0\,\mathbf j+(4\times4-4^2)\,\mathbf k\implies (4,0,0)
0=4^2\times0^2

Both of these hold, so the answer is correct.
8 0
4 years ago
Solve the equation <br><br> 10(0.4+0.5g)=4g<br><br> g=?
Ivenika [448]
Step 1: 10(0.4+0.5g)=4g
Step 2: 4 + 5g = 4g
Step 3: 4 = -1g
Step 4: -4 = g :)
8 0
3 years ago
Read 2 more answers
What is 5,821 g = ___ dag
pogonyaev

Answer:

582.1

Step-by-step explanation:

3 0
1 year ago
What is the measure of anglec to the nearest whole degree? 70° 77° 80° 85°
Annette [7]

Applying the cosine ratio, the measure of angle C in the given image, to the nearest whole degree, is: 77°.

<h3>What is the Cosine Ratio?</h3>

The cosine ratio is given as, cos ∅ = adjacent side/hypotenuse side of a right triangle.

Using the cosine ratio, we have:

cos C = 2/9

C = cos^(-1)(2/9)

C ≈ 77 degrees.

Learn more about the cosine ratio on:

brainly.com/question/15793827

4 0
2 years ago
This is number 8. And I need help.
ANEK [815]
It would be the first one because it says that there are 4 times as many red roses as pink roses and so that would be represented r=4p

Hope this helps! Good luck!
6 0
3 years ago
Read 2 more answers
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