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4 years ago

Emma ran 3 miles in 28 minutes. How long would it take her to run 6 miles

Mathematics

2 answers:

gayaneshka [121]4 years ago

8 0

Answer:

56 minutes

Step-by-step explanation:

Serga [27]4 years ago

4 0

Answer:

56 minutes

Step-by-step explanation:

This is because if 3 plus 3 is 6 then you multiply 28 times 2 and you get 56 because 3 can go into 6 2 times if you understand what I mean but the answer is 56 minutes.

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Evaluate ∫SF⃗ ⋅dA⃗ , where F⃗ =(bx/a)i⃗ +(ay/b)j⃗ and S is the elliptic cylinder oriented away from the z-axis, and given by x2/

Norma-Jean [14]

Answer:

Therefore surface integral is $\pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c$ .

Step-by-step explanation:

Given function is,

$\vec{F}=\frac{bx}{a}\uvec{i}+\frac{ay}{b}\uvec{j}$

To find,

$\int\int_{S}\vec{F}dS$

where S=A=surfece of elliptic cylinder we have to apply Divergence theorem so that,

$\int\int_{S}\vec{F}dS$

$=\int\int\int_V\nabla.\vec{F}dV$

$=\int\int\int_V(\frac{b}{a}+\frac{a}{b})dV$

$=\frac{a^2+b^2}{ab}\int\int\int_VdV$

$=\frac{a^2+b^2}{ab}\times \textit{Volume of the elliptic cylinder}$

$=\frac{a^2+b^2}{ab}\times \pi ab\times 2c=\pi (a^2+b^2)c$

If unit vector $\cap{n}$ directed in positive (outward) direction then z=c and,

$\int\int_{S_1}\vex{F}.dS_1=\int\int_{S_1} . dA$

$=\int\int_{S_1}.dA=0$

If unit vector $\cap{n}$ directed in negative (inward) direction then z=-c and,

$\int\int_{S_2}\vex{F}.dS_2=\int\int_{S_2}. -dA$

$=\int\int_{S_2}. -dA=0$

Therefore surface integral without unit vector of the surface is,

$\pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c$

5 0

4 years ago

Find the exact value of csc 330° in simplest form with a rational denominator-

Novosadov [1.4K]

The answer is -2 for the csc and it’s also a rational denominator

8 0

3 years ago

Read 2 more answers

An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the

sdas [7]

Answer:

$n= 75, 582$

$n= 2300$

$n = 253$

Step-by-step explanation:

Generally the size of the sample sample space is mathematically represented as

$n = \left N } \atop {}} \right. C_r$

Where N is the total number of objects available and r is the number of objects to be selected

So for a, where N = 19 and r = 8

$n = \left 19 } \atop {}} \right. C_8 = \frac{19 !}{(19 - 8 )! 8!}$

$= \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}$

$n= 75, 582$

For b Where N = 25 and r = 3

$n = \left 25 } \atop {}} \right. C_3 = \frac{25 !}{(19 - 3 )! 3!}$

$= \frac{25 *24 *23 *22 ! }{22 ! \ 3!}$

$n= 2300$

For c Where N = 23 and r = 2

$n = \left 23 } \atop {}} \right. C_2 = \frac{23 !}{(23 - 2 )! 2!}$

$= \frac{23 *22 *21! }{21 ! \ 3!}$

$n = 253$

4 0

4 years ago

Stella is making a juice-mix that uses apple juice and pomegranate juice in a 5:8 ratio. Which all of the following

SCORPION-xisa [38]

Answer:

She should buy some good quality juice so she can sell it and buy Chandler a ostrich.

Step-by-step explanation:

7 0

3 years ago

Martin needs 3.25 gallons of red paint for his small barn and 1.25 gallons of paint for his shed. He spends $81 on paint. How mu

alina1380 [7]

Answer:

Step-by-step explanation:

3.25 + 1.25 = 4.5

81 / 4.5 = 18

4 0

3 years ago

Read 2 more answers

Emma ran 3 miles in 28 minutes. How long would it take her to run 6 miles​

Emma ran 3 miles in 28 minutes. How long would it take her to run 6 miles