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3 years ago

Which of the following is the radical expression 5/a to the 7th power

Mathematics

1 answer:

Leto [7]3 years ago

3 0

When an exponent is a fraction, the denominator is written as a root, while the numerator is the power:

Since a is to the power of 5/7, the 7 becomes the 7th root, and the 5 becomes a^5. This is:

7th root of (a^5), or(B).

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Find the area of the surface. the part of the hyperbolic paraboloid z = y2 − x2 that lies between the cylinders x2 + y2 = 4 and

Nadusha1986 [10]

Call the surface $S$ ; then the area of $S$ is given by the surface integral

$\displaystyle\iint_S\mathrm d\mathbf S$

Parameterize the surface by

$\mathbf r(u,v)=\begin{cases}x(u,v)=u\cos v\\y(u,v)=u\sin v\\z(u,v)=u^2\cos^2v-u^2\sin^2v=u^2\cos2v\end{cases}$

with $2\le u\le4$ and $0\le v\le2\pi$ . The surface element is given by

$\mathrm d\mathbf S=\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv$

So the area is

$\displaystyle\iint_S\mathrm d\mathbf S=\int_{v=0}^{v=2\pi}\int_{u=2}^{u=4}u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv$
$=\displaystyle2\pi\int_{w=17}^{w=65}\sqrt w\,\frac{\mathrm dw}8$

where $w=1+4u^2\implies\mathrm dw=8u\,\mathrm du$

$=\displaystyle\frac\pi4\frac23w^{3/2}\bigg|_{w=17}^{w=65}$
$=\dfrac\pi6\left(65^{3/2}-17^{3/2}\right)\approx237.69$

8 0

3 years ago

Quadrilateral WXYZ has interior angles that meet the following criteria: Angles W and X are congruent . The smallest angle's mea

Reptile [31]

Smallest angle is $50$ °

<u>Step-by-step explanation:</u>

Here we have , Quadrilateral WXYZ has interior angles that meet the following criteria:

Angles W and X are congruent.

According to question , angles are congruent i.e. Both angle measure same

⇒ $X=W$

Now ,

• The smallest angle's measure is 100° less than twice the measure of W.

According to above statement we have ,

Smallest angle = $2W-100$

• The largest angle's measure is 10º more than twice the measure of X. ( correction , in question given as 2X )

According to above statement we have ,

Largest angle = $10+2X=10+2X$

Now , We know that sum of all 4 angles in 360 i.e.

⇒ $X+W+10+2X+2W-100=360$ { X=W }

⇒ $6W-90=360$

⇒ $6W=450$

⇒ $W=75$

Smallest angle is : $2W-100 = 2(75)-100=50$

Therefore , Smallest angle is $50$ ° .

4 0

3 years ago

Question Number 30 You are the owner of a toy store and are preparing to make a donation to a local children's hospital. You mus

Margarita [4]

Answer:

4080 ft

Step-by-step explanation:

34 yards of ribbon are used to prepare 8 teddy bears. The yards of ribbon used to prepare 320 teddy bears are:

320 teddy bear × (34 yard/8 teddy bear) = 1360 yard

1 yard is equal to 3 feet. The feet corresponding to 1360 yards is:

1360 yard × (3 feet/1 yard) = 4080 feet

6 0

3 years ago

NO LINKS/FLIES PLEASE .

ICE Princess25 [194]

I would say it is a fixed fee because it doesn’t change

3 0

3 years ago

I want only question number 3

zmey [24]

Answer:

Computers R Us has a better price because it cost less at the same production rate.

Step-by-step explanation: to graph y=23.5x you just plug in numbers. If x = 1, 23.5 (1), which equals y. Now you can keep doing this to get up to 4. You may use a calculator if youd like.

3 0

3 years ago