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4 years ago

What is equivalent to the square root of 8?

Mathematics

1 answer:

Pavlova-9 [17]4 years ago

5 0

It would be 2 root 2
bc it simplifies to root 2 and root 4
root 4 simplifies to 2
so its 2√2

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Do people improve their timing on an online crossword puzzle with an additional attempt? Twenty people were timed to complete a

oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Yes there should be an improvment. they should remember some of the answers to the puzzle they did the first time, so the second time, it would be faster and easier.

3 0

4 years ago

Evaluate the surface integral ∫sf⋅ ds where f=⟨2x,−3z,3y⟩ and s is the part of the sphere x2 y2 z2=16 in the first octant, with

skad [1K]

Parameterize S by the vector function

$\vec s(u,v) = \left\langle 4 \cos(u) \sin(v), 4 \sin(u) \sin(v), 4 \cos(v) \right\rangle$

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2.

Compute the outward-pointing normal vector to S :

$\vec n = \dfrac{\partial\vec s}{\partial v} \times \dfrac{\partial \vec s}{\partial u} = \left\langle 16 \cos(u) \sin^2(v), 16 \sin(u) \sin^2(v), 16 \cos(v) \sin(v) \right\rangle$

The integral of the field over S is then

$\displaystyle \iint_S \vec f \cdot d\vec s = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \vec f(\vec s) \cdot \vec n \, du \, dv$

$\displaystyle = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \left\langle 8 \cos(u) \sin(v), -12 \cos(v), 12 \sin(u) \sin(v) \right\rangle \cdot \vec n \, du \, dv$

$\displaystyle = 128 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \cos^2(u) \sin^3(v) \, du \, dv = \boxed{\frac{64\pi}3}$

8 0

2 years ago

The points P, Q, R and S all lie on the same line segment, in that order, such that the ratio of PQ : QR: RS is equal to 4:2:1.

Natasha2012 [34]

Answer:

PR = 12

Step-by-step explanation:

P-----------Q-----------R----------S

ratio

4:2:1

PS = 14

add the ration = 4 + 2 + 1 = 7

14 / 7 = 2

PQ at 4 x 2 = 8

QR at 2 x 2 = 4

RS at 1 x 2 = 2

------------

PR = PQ + QR

PR = 8 + 4

PR = 12

5 0

3 years ago

Read 2 more answers

Please help thank you!!

Fofino [41]

Use the substitution method for x

y= 2(2)+5

y=9

Answer:(2,9)

8 0

3 years ago

Read 2 more answers

How do I estimate 542,817

ioda

Answer:

Step-by-step explanation:

Much depends on how accurate an estimate you want.

If "to the nearest hundred" would be acceptable (it's a lot of work),

Round off 542817 to 542820 and 27398 to 2740. Then you'd want to subtract 2740 from 542820. (Again, it's a lot of work.)

Otherwise round off to the nearest thousand: 543000 - 27000.

Or go to the nearest ten thousand: 540,000 - 30,000 = 510,000 (estimate)

4 0

3 years ago