MATHEMATICS COLLEGE

35 x 2/7
14, 5, 7, 10,

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

35 * 2/7

Rewriting

35/7 *2

5*2

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Sharon has a new beaded necklace. 72 out of the 80 beads on the necklace are blue. Whatpercentage of beads on Sharon's necklace are blue?
Write your answer using a percent sign (%).

Answers

Answer:

90%

Step-by-step explanation:

Step 1:

72/80 = x /100 Proportion

Step 2:

80x = 7200 Multiply

Step 3:

x = 7200 ÷ 80 Divide

Answer:

90%

Hope This Helps :)

Answer:

Sharon bought a necklace with 90% blue beads.

Step-by-step explanation:

We are given that Sharon's necklace has 80 beads. We are also given that of those 80 beads, 72 of them are blue.

Therefore, we can set up a ratio of blue beads to total beads in order to find out the relationship.

$\displaystyle (72)/(80)=(36)/(40)=(18)/(20)=(9)/(10)$

Then, using the fraction we receive as a result, we can convert this to a decimal.

$\displaystyle (9)/(10) = 0.9$

After we complete this calculation, we can multiply our decimal by 100 in order to obtain the relationship in percentage form.

$0.9 * 100 = 90\%$

Of the 80 beads, 90% were blue beads.

5/6 divided by 3/4
Thanks for any help

Answers

Answer:

20/18

Step-by-step explanation:

Answer:10/9 exact form mixed # 1 1/9

Step-by-step explanation:reduce the expression, if possible, by cancelling the common factors.

lisa an experienced shipping clerk can fill a certain order in 7 hours to a new clerk needs 8 hours to do the same job working together how long will it take to fill the order

Answers

In one hour Lisa can do 1/7 of the job, and in one hour the new clerk can do 1/8 of the job. Working together for one hour they can do (1/7) + (1/8) of the job.
$(1)/(7)+(1)/(8)=(15)/(56)$
Therefore when working together they will take 56/15 = 3.733 hours.

The answer is 3.733 hours or 3 hours and 44 minutes.

Let C be the unit circle in the xy-plane, oriented counterclockwise as seen from above. The divergence of the vector field F~ = (z, x, y) is zero, and as a result the flux through every surface with boundary C should be the same. Confirm that this is the case with the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane

Answers

Upper half of the unit sphere (call it $S_1$ ): parameterize by

$\vec s(u,v)=(\cos u\sin v,\sin u\sin v,\cos v)$

with $0\le u\le2\pi$ and $0\le v\le\frac\pi2$ . Take the normal vector to be

$(\partial\vec s)/(\partial v)*(\partial\vec s)/(\partial u)=(\cos u\sin^2v,\sin u\sin^2v,\cos v\sin v)$

Then the flux of $\vec F$ over this surface is

$\displaystyle\iint_(S_1)\vec F\cdot\mathrm d\vec S=\int_0^(\pi/2)\int_0^(2\pi)(\cos v,\cos u\sin v,\sin u\sin v)\cdot(\cos u\sin^2v,\sin u\sin^2v,\cos v\sin v)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^(\pi/2)\int_0^(2\pi)\cos u\sin^2v\cos v+\cos u\sin u\sin^3v+\sin u\cos v\sin^2v=\boxed{0}$

Lower half of the sphere (call it $S_2$ ): all the details remain the same as above, but with $\frac\pi2\le v\le\pi$ . The flux is again $\boxed{0}$ .

Unit disk (call it $D$ ): parameterize the disk by

$\vec s(u,v)=(u\cos v,u\sin v,0)$

with $0\le u\le1$ and $0\le v\le2\pi$ . Take the normal vector to be

$(\partial\vec s)/(\partial u)*(\partial\vec s)/(\partial v)=(0,0,u)$

Then the flux across $D$ is

$\displaystyle\iint_D\vec F\cdot\mathrm d\vec S=\int_0^(2\pi)\int_0^1(0,u\cos v,u\sin v)\cdot(0,0,u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^(2\pi)\int_0^1u^2\sin v\,\mathrm du\,\mathrm dv=\boxed{0}$

Final answer:

The flux through every surface with boundary C, such as the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane, should be the same and it is zero.

Explanation:

The divergence of the vector field F~ = (z, x, y) is zero. Therefore, the flux through every surface with boundary C, such as the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane, should be the same.

This can be confirmed by considering that the electric flux through a closed surface is zero if there are no sources of electric field inside the enclosed volume. Since there are no charges inside the surfaces mentioned, the flux through each surface is zero.

Therefore, the flux through the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane is the same, and it is zero.

Learn more about Electric Flux here:

brainly.com/question/38239959

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Casey has 48 red peppers and 16 yellow peppers.If Casey wants to put the peppers into baskets so that each basket has the same number of red peppers and the same number of yellow peppers,what is the greatest number of baskets he can make?How many of each type of pepper will be in each basket?

Answers

Answer:

16 baskets, each containing 3 red peppers and 1 yellow pepper

Step-by-step explanation:

The greatest common factor (GCF) of the two numbers can be found a variety of ways. It is simplest just to recognize that 16 is a divisor of 48, so is the GCF of the two numbers Since that number divides both evenly, the respective quotients will be the number of peppers in each of the 16 baskets.

(48 red peppers)/(16 baskets) = 3 red peppers/basket

(16 yellow peppers)/(16 baskets) = 1 yellow pepper/basket

Solve 2cos^2x+3sinx=0

Answers

Answer:

$x = {\sin^( - 1) 2} \: \: or \: \: x = (7\pi)/(6), \: \: (5\pi)/(3)$

Step-by-step explanation:

$2 { \cos}^(2) x + 3 \sin x = 0 \n 2 {(1 - \sin}^(2) x) + 3 \sin x = 0 \n 2 - 2 \sin^(2) x+ 3 \sin x = 0 \n 2 \sin^(2) x - 3 \sin x - 2 = 0 \n 2 \sin^(2) x - 4\sin x + \sin x- 2 = 0 \n 2\sin x(\sin x - 2) + 1(\sin x - 2) = 0 \n (\sin x - 2)(2\sin x + 1) = 0 \n (\sin x - 2) = 0 \: or \: (2\sin x + 1) = 0 \n \sin x = 2 \: or \: 2\sin x = - 1 \n x = {\sin^( - 1) 2} \: \: or \: \: \sin x = - (1)/(2) \n x = {\sin^( - 1) 2} \: \: or \: \: x = (7\pi)/(6), \: \: (5\pi)/(3)$