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3 years ago

Help please it’s for a mastery test

Mathematics

2 answers:

FromTheMoon [43]3 years ago

8 0

The answer is C!! The third option

seropon [69]3 years ago

8 0

Answer:

Step-by-step explanation:

7^5 means it wants 7 times its self 5 times so you get 7x7x7x7x7. I hope this helps, have a good night

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Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

lubasha [3.4K]

First find a parameterization for the curve of intersection.

Given the equation of a cylinder, a natural choice for a parameterization would be one utilizing cylindrical coordinates. Here,

$16x^2+y^2=16\implies x^2+\left(\dfrac y4\right)^2=1$

which suggests we could use

$\begin{cases}x(t)=\cos t\\y(t)=4\sin t\\z(t)\end{cases}$

with $0\le t\le2\pi$ , and we get $z(t)$ from the equation of the plane,

$x+y+z=12\implies z(t)=12-x(t)-y(t)=12-\cos t-4\sin t$

Now use the arc length formula:

$\displaystyle\ell=\int_0^{2\pi}\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt$

$\displaystyle\ell=\int_0^{2\pi}\sqrt{\sin^2t+16\cos^2t+(\sin t-4\cos t)^2}\,\mathrm dt$

$\displaystyle\ell=\sqrt2\int_0^{2\pi}\sqrt{\sin^2t-4\cos t\sin t+16\cos^2t}\,\mathrm dt\approx\boxed{24.0878}$

4 0

4 years ago

It takes George 35 minutes to walk to school. At what time must he start from home to arrive at school at 8:50am?

nikitadnepr [17]

In Order For George To Make It To School By 8:50 He Must Leave At 8:15

6 0

3 years ago

Please help! i just need the equations for the charts! grade 7 i give branliest

True [87]

Answer:

Step-by-step explanation:

y=1x+10

y=15x+2

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3 years ago

5. Which number is a perfect cube? 7 25 66 27

Veseljchak [2.6K]

The answer is 27 because the cubed root is 3

4 0

4 years ago

Read 2 more answers

Jane works as a tutor for $14 an hour and as a waitress for $11 an hour. This month, she worked a combined total of 93 hours at

daser333 [38]

Answer:

3t + 1,023

Step-by-step explanation:

The computation is shown below:

As a tutor it is $14 per hour

As a waitress it is $11 per hour

Total number of hours worked is 93

Now let us assume the number of hours worked as a tutor is t

So as a waiter is 93 - t

Now the equation is

= $14(t) + $11(93 - t)

= 14t + 1,023 - 11t

= 3t + 1,023

3 0

3 years ago