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2 years ago

on a certain map 3/4 inch represents one mile .what distance in miles is represented by 1 3/4 inches

Mathematics

1 answer:

Studentka2010 [4]2 years ago

4 0

Answer:

Step-by-step explanation:

3/4 inch to 1 mile = 1 3/4(or 7/4 in) to x miles

make a proportion

(3/4) (7/4)

-------- = ------- cross multiply

1 x

(3/4)(x) = (7/4)(1)

3/4x = 7/4

x = (7/4) / (3/4)

x = 7/4 * 4/3

x = 7/3 or 2 1/3 miles <===

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What is the range of the function represented by these ordered pairs?

sdas [7]

Answer:

Option B is correct.

Step-by-step explanation:

{ -1 , 0 , 1 , 7 }

Hope this helps!

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2 years ago

Let f(x,y,z) = ztan-1(y2) i + z3ln(x2 + 1) j + z k. find the flux of f across the part of the paraboloid x2 + y2 + z = 3 that li

Sophie [7]

Consider the closed region $V$ bounded simultaneously by the paraboloid and plane, jointly denoted $S$ . By the divergence theorem,

$\displaystyle\iint_S\mathbf f(x,y,z)\cdot\mathrm dS=\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV$

And since we have

$\nabla\cdot\mathbf f(x,y,z)=1$

the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have

$\displaystyle\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\iiint_V\mathrm dV$
$=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=2}^{z=3-r^2}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
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$=\dfrac\pi2$

Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by $D$ , we have

$\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-\iint_D\mathbf f\cdot\mathrm dS$

Parameterize $D$ by

$\mathbf s(u,v)=u\cos v\,\mathbf i+u\sin v\,\mathbf j+2\,\mathbf k$
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$\displaystyle\iint_D\mathbf f\cdot\mathrm dS=\int_{u=0}^{u=1}\int_{v=0}^{v=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(-u\,\mathbf k)\,\mathrm dv\,\mathrm du$
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$\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-(-2\pi)=\dfrac{5\pi}2$

6 0

3 years ago

Find the 10th term of the geometric sequence whose common ratio is 2/3 and whose first term is 3.

Sergeu [11.5K]

Answer:

$\frac{512}{6561}$

Step-by-step explanation:

1) if according to the condition a₁=3 and r=2/3, then a₁₀ can be calculated as:

a₁₀=a₁*r⁹;

2) according to the rule above:

a₁₀=3*(2/3)⁹=512*3/(6561*3)=512/6561.

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1 year ago

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Answer:

$35.76

Step-by-step explanation:

12.60

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--------

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2 years ago

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Greeley [361]

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(this is english not math change your question when you have to do this again)

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3 years ago

on a certain map 3/4 inch represents one mile .what distance in miles is represented by 1 3/4 inches ​

on a certain map 3/4 inch represents one mile .what distance in miles is represented by 1 3/4 inches