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3 years ago

Multiply and simplify:

Mathematics

1 answer:

lara [203]3 years ago

5 0

To simplify you would:
3x-2=1x
Then:
1x * 1x = 1x.

You might be interested in

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (G ▪ H) (5)? (5 – 7)2 (5)2 – 7 (5)2(5 – 7) (5 – 7)x2

Eddi Din [679]

Answer:

The correct answer is (5 - 7)^2

Step-by-step explanation:

To find this, start with the outermost equation g(x).

g(x) = x^2

Now put the next equation (h(x)) in for x in this equation.

(G ▪ H)(x) = (x - 7)^2

Now, put the number in for x in the equation given.

(G ▪ H)(x) = (5 - 7)^2

4 0

3 years ago

Read 2 more answers

a plumber charges $45 for the first hour and $30 for each additional hour.how much does he charge if it takes him 4 hours to mak

sveticcg [70]

45+30=75 so 75*4+300 dollars

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

Enter the number using calculator notation.<br> 8.5x 103<br> The number in calculator notation is

BabaBlast [244]

Answer: 875.5x

Step-by-step explanation:

4 0

3 years ago

273.261 in word form

PilotLPTM [1.2K]

Two hundred and seventy three point two hundred and sixty one

8 0

3 years ago