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2 years ago

10

The table shows the number of different types of movies in Lavar's

1 answer:

Lady_Fox [76]2 years ago

5 0

Answer:

I would know if the table was included

Step-by-step explanation:

just insert the number of each type of movie into the place of M and see if it is greater than 15

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In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?

Rus_ich [418]

1.66666666667 inches per hour

8 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

2 years ago

What is the center of the data?

satela [25.4K]

Answer:

$Median = 13$

Step-by-step explanation:

Given

See attachment for dot plot

Required

The center of data

This implies that, we calculate the median

From the attached plot,

$n = 13$ --- number of observation

So, the median is:

$Median = \frac{n + 1}{2}$

$Median = \frac{13 + 1}{2}$

$Median = \frac{14}{2}$

$Median = 7th$

The median is at the 7th position

At the 7th position, is 13

Hence:

$Median = 13$

5 0

2 years ago

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Ilang metro ang 1300 sentimetro?<br><br>a. 1metro<br>b. 13 metro<br>c. 130 metro

Pie

Answer:

1300 cm = 13 m

Step-by-step explanation:

We need to find meters in 1300 cm.

We know that,

1 m = 100 cm

1 cm = (1/100) m

It means,

$1300\ cm=\dfrac{1300}{100}\ m\\\\=13\ m$

Hence, there are 13 m in 1300 cm.

4 0

2 years ago

Molodets [167]

Answer:

B

Step-by-step explanation:

8 0

2 years ago

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