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Kisachek [45]
3 years ago
7

Perform the indicated operation. 2 1/6 – 5 2/3

Mathematics
2 answers:
REY [17]3 years ago
6 0
<span>2 1/6 – 5 2/3
=</span><span>2 1/6 – 5 4/6
= - 3 3/6
=  -3 1/2

answer
</span><span>C. -3 1/2</span>
saul85 [17]3 years ago
3 0

Answer:

Option C - 2\frac{1}{6}-5\frac{2}{3}=-3\frac{1}{2}

Step-by-step explanation:

Given : Expression 2\frac{1}{6}-5\frac{2}{3}

To find : Perform the indicated operation in the expression ?

Solution :

Expression 2\frac{1}{6}-5\frac{2}{3}

Write mixed fraction into fraction,

2\frac{1}{6}-5\frac{2}{3}=\frac{13}{6}-\frac{17}{3}

Taking Least common denominator,

2\frac{1}{6}-5\frac{2}{3}=\frac{13-34}{6}

2\frac{1}{6}-5\frac{2}{3}=-\frac{21}{6}

2\frac{1}{6}-5\frac{2}{3}=-\frac{7}{2}

Write improper fraction into mixed fraction,

2\frac{1}{6}-5\frac{2}{3}=-3\frac{1}{2}

Therefore, Option C is correct.

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You have a part-time job. You earn $7.75 per hour. If you work 20 hours
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Answer:

F. $155

Step-by-step explanation:

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3 years ago
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Serggg [28]

I assume C has counterclockwise orientation when viewed from above.

By Stokes' theorem,

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S

so we first compute the curl:

\vec F(x,y,z)=xy\,\vec\imath+yz\,\vec\jmath+xz\,\vec k

\implies\nabla\times\vec F(x,y,z)=-y\,\vec\imath-z\,\vec\jmath-x\,\vec k

Then parameterize S by

\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos^2v\,\vec k

where the z-component is obtained from

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with 0\le u\le\dfrac\pi2 and 0\le v\le\dfrac\pi2.

Take the normal vector to S to be

\vec r_v\times\vec r_u=2\cos u\cos v\sin^2v\,\vec\imath+\sin u\sin v\sin(2v)\,\vec\jmath+\cos v\sin v\,\vec k

Then the line integral is equal in value to the surface integral,

\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S

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=\displaystyle-\int_0^{\pi/2}\int_0^{\pi/2}\cos v\sin^2v(\cos u+2\cos^2v\sin u+\sin(2u)\sin v)\,\mathrm du\,\mathrm dv=\boxed{-\frac{17}{20}}

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3 years ago
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denpristay [2]

Answer:

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Step-by-step explanation:

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Find the cardinality of the set B = { 5, 6, 7, … , 100}
vaieri [72.5K]

The cardinality of the set B is given to be 96.

<h3>What is the cardinality of a set?</h3>

This is the term that is used to refer to the number of elements that a given set can be said to contain.

This is a set that has numbers that ranges from 5 to 100, this tells us that the numbers 1, 2, 3, 4 are excluded from the set.

Hence the total numbers excluded is 4. 100 - 4 = 96

Therefore from 5 to 100, the total 9 and the cardinality of the set B is 96.

Read more on the cardinality of a set here: brainly.com/question/23976339

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