2 years ago

I need help with my math! The problem is : 150% of what number is 18

Mathematics

1 answer:

Andreas93 [3]2 years ago

7 0

The answer would be 27 =)

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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.

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3 years ago

Boris started to run on a treadmill after setting its timer for 92 minutes. The display says that he has finished 73% of his run

Tanzania [10]

Answer:

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Step-by-step explanation:

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2 years ago

the walls of a square room need painting.Each of the four walls is 12 ft wide by 8.5 feet tall.One gallon of paint covers 75 ft.

Jobisdone [24]

First find the area of each wall. This is length*width which would be 12*8.5=102. There are four walls in the room because it’s a square so that would be 102*4=408. So the total area you need to paint is 408ft one gallon will cover 75ft so 408/75=5.44 gallons of paint.

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3 years ago

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Determine the value of f (4) if f (x) = 3x -- 1

sleet_krkn [62]

Answer: 11

Step-by-step explanation: plug in 4 for x

3(4) - 1 = 12 - 1 = 11

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3 years ago

the circumference of a circle is a(pi) units, and the area of the circle is b(pi) square units. If a=b, what is the radius of th

xxTIMURxx [149]

Answer:

the redius is 0 unit or 1/2^(1/2) unit.

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3 years ago