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alexdok [17]
4 years ago
13

If you put a small compass in a magnetic field, the compass will __________.

Mathematics
2 answers:
lianna [129]4 years ago
7 0
The magnet will Change its direction toward the north pole of the electric field rather than geographic North Pole
adoni [48]4 years ago
4 0
The compass will lose its magnetic properties
You might be interested in
Write an equation using “” and then solve the equation. The late fee for each day is $2. A patron paid $72 for books that are ov
topjm [15]
Pretty simple equation, where we need to find the number of books. If it is 2$ each day per book
72/9 = 8$ per day is the late fee paid
So if each book is 2$, then we can assume
8/2 = 4 books

So equation is
“# books = (amount paid)/(days * per day payment)”
4 0
3 years ago
The admission fee at amusement park is $1.50 for children and $4 for adults on a certain day 355 ppl entered the park and the ad
antoniya [11.8K]

Answer:

180 children and 175 adults

Step-by-step explanation:

Let it be that the amount of children who visited the park that day was x, the rest was adults. It means the quantity of adults equals 355-x.

The payment from the children is 1.5*x (because each children payed 1.5 dollars, the amount of money from children is the fee from one child multiplied by the quantity of children). The money earned by the park's owners from adults are equal to the fee from one adult multiplied by the quantity  4* (355-x)= 1420 -4x

If we add the money from chilren and adults we get the summary profit of park (it is equal to 970 dollars)

1.5x+ 1420-4x= 970

1420-2.5x= 970

x=180- children

355-180=175adults

5 0
3 years ago
the function intersects its midline at (-pi,-8) and has a maximum point at (pi/4,-1.5) write an equation
Tcecarenko [31]

The equation that represents the <em>sinusoidal</em> function is x(t) = -8 + 6.5 \cdot \sin \left[\left(\frac{2}{3} \pm \frac{4\cdot i}{3}\right)\cdot t + \left(\frac{2\pi}{3} \pm \frac{7\pi \cdot i}{3}  \right)\right], i\in \mathbb{Z}.

<h3>Procedure - Determination of an appropriate function based on given information</h3>

In this question we must find an appropriate model for a <em>periodic</em> function based on the information from statement. <em>Sinusoidal</em> functions are the most typical functions which intersects a midline (x_{mid}) and has both a maximum (x_{max}) and a minimum (x_{min}).

Sinusoidal functions have in most cases the following form:

x(t) = x_{mid} + \left(\frac{x_{max}-x_{min}}{2} \right)\cdot \sin (\omega \cdot t + \phi) (1)

Where:

  • \omega - Angular frequency
  • \phi - Angular phase, in radians.

If we know that x_{min} = -14.5, x_{mid} = -8, x_{max} = -1.5, (t, x) = (-\pi, -8) and (t, x) = \left(\frac{\pi}{4}, -1.5 \right), then the sinusoidal function is:

-8 +6.5\cdot \sin (-\pi\cdot \omega + \phi) = -8 (2)

-8+6.5\cdot \sin\left(\frac{\pi}{4}\cdot \omega + \phi \right) = -1.5 (3)

The resulting system is:

\sin (-\pi\cdot \omega + \phi) = 0 (2b)

\sin \left(\frac{\pi}{4}\cdot \omega + \phi \right) = 1 (3b)

By applying <em>inverse trigonometric </em>functions we have that:

-\pi\cdot \omega + \phi = 0 \pm \pi\cdot i, i \in \mathbb{Z} (2c)

\frac{\pi}{4}\cdot \omega + \phi = \frac{\pi}{2} + 2\pi\cdot i, i \in \mathbb{Z} (3c)

And we proceed to solve this system:

\pm \pi\cdot i + \pi\cdot \omega = \frac{\pi}{2} \pm 2\pi\cdot i -\frac{\pi}{4}\cdot \omega

\frac{3\pi}{4}\cdot \omega = \frac{\pi}{2}\pm \pi\cdot i

\omega = \frac{2}{3} \pm \frac{4\cdot i}{3}, i\in \mathbb{Z} \blacksquare

By (2c):

-\pi\cdot \left(\frac{2}{3} \pm \frac{4\cdot i}{3}\right) + \phi =\pm \pi\cdot i

-\frac{2\pi}{3} \mp \frac{4\pi\cdot i}{3} + \phi = \pm \pi\cdot i

\phi = \frac{2\pi}{3} \pm \frac{7\pi\cdot i}{3}, i\in \mathbb{Z} \blacksquare

The equation that represents the <em>sinusoidal</em> function is x(t) = -8 + 6.5 \cdot \sin \left[\left(\frac{2}{3} \pm \frac{4\cdot i}{3}\right)\cdot t + \left(\frac{2\pi}{3} \pm \frac{7\pi \cdot i}{3}  \right)\right], i\in \mathbb{Z}. \blacksquare

To learn more on functions, we kindly invite to check this verified question: brainly.com/question/5245372

5 0
3 years ago
A map has a scale of 2 cm: 11 m. The actual distance x from point A to point B, if these two points are 12
ahrayia [7]

9514 1404 393

Answer:

  B.  66 m

Step-by-step explanation:

Map and ground distances are proportional:

  ground/map = ground/(12 cm) = (11 m)/(2 cm)

  ground = (12 cm)(11 m/(2 cm)) = 66 m

The distance from A to B is 66 m.

6 0
3 years ago
If A=p+prt, than t equalls?
ella [17]

Answer:

\boxed{t=\frac{A-p}{pr}}

Step-by-step explanation:

A=p+prt

Subtract p on both sides.

A-p=p+prt-p

A-p=prt

Divide both sides by pr.

\displaystyle \frac{A-p}{pr} =\frac{prt}{pr}

\displaystyle{\frac{A-p}{pr} =t}

5 0
3 years ago
Read 2 more answers
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