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2 years ago

3y - 15 =y + 1 solve for y

Mathematics

1 answer:

USPshnik [31]2 years ago

8 0

A n s w e r:

y = 8

Hope this helps!

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What would the y-intercept be<br> Ill Give brainly <br> no bots pls

kow [346]

Answer:

1,000

Step-by-step explanation:

the line starts at (0,1000) on the y axis

8 0

3 years ago

The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i

kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.

Step-by-step explanation:

Given surface area of a right circular cone of radious r and height h is,

$S=\pi r\sqrt{r^2+h^2}$

and volume,

$V=\frac{1}{3}\pi r^2 h$

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,

$f(r,h)=\frac{1}{3}\pi r^2 h$

subject to,

$g(r,h)=\pi r\sqrt{r^2+h^2}=8\hfill (1)$

We know for maximum volume $r\neq 0$ . So let $\lambda$ be the Lagranges multipliers be such that,

$f_r=\lambda g_r$

$\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)$

And,

$f_h=\lambda g_h$

$\implies \frac{1}{3}\pi r^2=\lambda \frac{\pi rh}{\sqrt{r^2+h^2}}$

$\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)$

Substitute (3) in (2) we get,

$\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)$

$\implies h^2=2r^2$

Substitute this value in (1) we get,

$\pi r\sqrt{h^2+r^2}=8$

$\implies \pi r \sqrt{2r^2+r^2}=8$

$\implies r=\sqrt{\frac{8}{\pi\sqrt{3}}}\equiv 1.21252$

Then,

$h=\sqrt{2}(1.21252)\equiv 1.71476$

Hence largest volume,

$V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114$

3 0

3 years ago

Which of the following is the correct simplified form of 16/56?

Leya [2.2K]

Answer:

Step-by-step explanation:

2/7 I Hope i helped

3 0

3 years ago

Read 2 more answers

HELP ASAP PLEASE DONT GUESS MY GRADE IS ON THE LINE jim and joan miller are customers applying for a mortgage jim and Joan Mille

Elanso [62]

Step-by-step explanation:

So, the account is at 0 initially; after the 1st payment made to the statement, the only balance it'd have, is the first payment amount, so namely, what's the monthly amortized cost.

Ex.: the picture

So let's do the same!

<em>pymt:</em> 120,000 [0.049/12/1 - (1 + 0.049/12) -12 x 20]

Hope this helped!

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3 years ago

Kevin spent 10 hours doing homework last week. This week he spent 15 hours doing homework. He says that he spent 150% more time

agasfer [191]

No he is wrong because 75% more time would be spent doing homework

6 0

3 years ago