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2 years ago

What is the remainder

Mathematics

1 answer:

prisoha [69]2 years ago

4 0

The answer is 7, hope this helps!! just plug in 2 for the x and type the answer in :)

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What are the coordinates of the center of the ellipse shown below?

photoshop1234 [79]

Answer:

Option D (7, -3)

Step-by-step explanation:

We know that the general equation of an ellipse has the form:

$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1$

Where the point (h, k) are the coordinates of the center of the ellipse

In this case the equation of the ellipse is:

$\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1$

Then

$h=7\\\\k = -3$

So The coordinates of the center of the ellipse are (7, -3)

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3 years ago

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Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 5 sin2 t, y = 5 cos2 t

rodikova [14]

$\begin{cases}x(t)=5\sin2t\\y(t)=5\cos2t\end{cases}\implies\begin{cases}\frac{\mathrm dx}{\mathrm dt}=10\cos2t\\\frac{\mathrm dy}{\mathrm dt}=-10\sin2t\end{cases}$

The distance traveled by the particle is given by the definite integral

$\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

where $C$ is the path of the particle. The distance is then

$\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi$

6 0

3 years ago

Jared made 12 3/4 cups of snack mix for cups of snack mix for a party. His guests are 2/3 of the mic. How much snack mix did his

Rufina [12.5K]

Answer:

8 1 /2

For this we need to determine what

2 /3 of 12 3/4 is, so we multiply the fractions together.

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3 years ago

A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.

deff fn [24]

The unit price per pen is $0.14.

Explanation :
You simply divide the total by the quantity.
$1.09/8= 0.13625.
Since this has to do with money you round to the nearest hundredth to get $0.14.

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2 years ago

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HELP ASAP !!! <br> Which of the following are identities? Check all that apply.

anastassius [24]

Answer:

A,CAND D

Step-by-step explanation:

ADD ME AS BRAINLIEST

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3 years ago

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