Suppose two days before yesterday was wednesday.what day of the week will be 100 days from today

A television that was originally marked $199.95 is now 25% off. Write a linear expression for the new cost of the television. Th

ioda

Answer is c

199.95 x 25/100

=49.9875

Sale price

=199.95-49.9875

=149.9625

=149.96

5 0

3 years ago

Read 2 more answers

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

If a man goes to a cafe he wants to buy a wrap with the price of 8.80 dollars he gives the cafe lady 10 dollars how much change

Tomtit [17]

It would be $1.20
8.80 + 1.20 = 10

3 0

2 years ago

What is the square root of 10,000plus the square root 450 and is it more of less than the square root of 50,000

andre [41]

2120 and its more than

3 0

3 years ago

Read 2 more answers

Sharonda uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She needs to buy 120

White raven [17]

Step-by-step explanation:

ATQ,

Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.

She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.

So,

m = 2d .....(1)

m + d = 120 ...(2)

We can also solve the above equations,

Put m = 2d in equation (2)

2d + d = 120

3d=120

d = 40

Put d = 40 in equation (1)

m = 2(40)

m = 80

Hence, she will need 40 kg of dark chocolate and 80 kg of milk chocolate.

4 0

3 years ago