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3 years ago

14

This circle graph shows the results of a survey that asked 80 people which method of transportation they use to get to the city

park.
How many people take the bus to the city park?

20 people

25 people

32 people

40 people

2 answers:

raketka [301]3 years ago

3 0

Answer:

Step-by-step explanation:

Where the graph at??

just olya [345]3 years ago

3 0

Where is the graph? Or am I just not seeing it.

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A triangle has these side lengths:

luda_lava [24]

Answer: 18 + 6x

( 7 + x ) + ( 6 + x ) + ( 5 + 4 x )

18 + 6x

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3 years ago

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4 years ago

Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction. F = 3yi + yj+zk

jok3333 [9.3K]

Answer:

$\int \int \bigtriangledown F\ X\ dS = \int F\cdot dr$ = 12π

Step-by-step explanation:

The field F is given by:

$F = 3y\hat{i} + y\hat{j}+z\hat{k}$ (1)

The curve C is the ellipse:

$\frac{x^2}{4}+\frac{y^2}{64}=1\\\\(\frac{x}{2})^2+(\frac{y}{8})^2=1$

In order to calculate the circulation of F around the curve C, you first find the parametric equation for the given ellipse.

The general form of an ellipse equation is:

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

The parametric equation is:

$r(t)=acost \hat{i} + bsint\hat{j}=2cost\hat{i}+8sint\hat{j}$ (2)

The Stokes's theorem is given by the following identity:

$\int \int \bigtriangledown F\ X\ dS = \int F\cdot dr$

The path integral is also:

$\int F\cdot dr=\int F(r(t))\cdot dr(t)$ (3)

For F(r(t)) and dr(t) you obtain:

$F(r(t))=3(8sint)\hat{j}+(8sint)\hat{j}+(z)\hat{k}\\\\dr(t)=(-2sint\hat{i}+8cost\hat{j}+0\hat{k})dt\\\\F(r(t))\cdot dr(t)=(-48sin^2t+64cos^2t)dt$

Next, in the equation (3) you obtain:

$\int_0^{2\pi} (-48sin^2t+64cos^2t)dt=\int_0^{2\pi}(-\frac{48}{2}(1-cos2t)+\frac{64}{2}(1+cos2t))dt\\\\=\int_0^{2\pi}(-24+24cos2t+32+32cos2t)dt\\\\=\int_0^{2\pi}(6+56cos2t)dt\\\\=[6t+56sin2t]_0^{2\pi}=[6(2\pi)-0]=12\pi$

The circulation of the field around C is 12π

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3 years ago

What two numbers multiply to get -22 but add to get 3

Ann [662]

-2 * 11 = -22 so that's the first part and -2+5 =3 so the numbers are -2,11,and -2,5

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3 years ago

If f(x)=3x−1 and f(a)=−43, what is the value of a ??

vfiekz [6]

Answer:

a = -14

Step-by-step explanation:

f(a) = -43

3a - 1 = -43

3a = -43 + 1

3a = -42

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2 years ago