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iogann1982 [59]
4 years ago
7

Ana’s location is -30 feet below the cave entrance, Chilean location is -12 below the cave entrance. Which girl is located farth

er from the cave entrance?
Mathematics
2 answers:
professor190 [17]4 years ago
5 0

Answer: Ana is farther

Step-by-step explanation:

-30 < -12

sattari [20]4 years ago
4 0

Answer:

Ana

Step-by-step explanation:

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Evaluate the line integral ∫cf⋅dr, where f(x,y,z)=5xi−4yj+3zk and c is given by the vector function r(t)=⟨sint,cost,t⟩, 0≤t≤3π/2
Katena32 [7]

WIth the parameterization

\mathbf r(t)=\langle\sin t,\cos t,t\rangle

we end up with

\mathbf f(\mathbf r(t))=\mathbf f(\sin t,\cos t,t)=5\sin t\,\mathbf i-4\cos t\,\mathbf j+3t\,\mathbf k

We also have

\mathrm d\mathbf r=\mathbf r'(t)\,\mathrm dt=\langle\cos t,-\sin t,1\rangle\,\mathrm dt

So in the line integral, we get

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=0}^{t=3\pi/2}\mathbf f(\mathbf r(t))\cdot\mathbf r'(t)\,\mathrm dt

=\displaystyle\int_{t=0}^{t=3\pi/2}(9\sin t\cos t+3t)\,\mathrm dt=\frac98(3\pi^2+4)

8 0
3 years ago
Arianna's Pizzeria made 19 pizzas. 15 of the pizzas had thin crust and the rest had thick crust. What is the ratio of the number
r-ruslan [8.4K]

Answer:

4:15

Step-by-step explanation:

there are 15 thin crust pizzas and there are 19 pizzas. subtract 19-15 and you get 4. there are 4 thick crust.

7 0
3 years ago
What is the greatest common factor of 30, 90 and 75?
Firlakuza [10]
The answer is 15
Hope that helps
7 0
3 years ago
Find the exact value of the fallowing ,give your answers as factions ;
kompoz [17]

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

3² = 3 X 3 = 9

4³ = 4 x 4 x 4 = 64

2^{6} = 2 x 2 x 2 x 2 x 2 x 2 = 64

The exact value in fractions are:

a) 1/9

b) 1/64

c) 1/64

<h3>What is a fraction?</h3>

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

3^{-2}

= 1/3²

3² = 3 X 3 = 9

= 1/9

4^{-3}

= 1/4³

4³ = 4 x 4 x 4 = 64

= 1/64

2^{-6}

= 1/2^{6}

2^{6} = 2 x 2 x 2 x 2 x 2 x 2 = 64

= 1/64

Thus.,

The exact value in fractions are:

a) 1/9

b) 1/64

c) 1/64

Learn more about fractions here:

brainly.com/question/24370499

#SPJ1

5 0
1 year ago
(8. 69×10to the power of 8)–(9. 6×10 to the power of 6
QveST [7]

Answer:

3.25×10^15

Step-by-step explanation:

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8 0
2 years ago
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