How many different ways can 6 students be seated in a row?

Can someone please solve

pentagon [3]

Answer:

78

Step-by-step explanation:

Evaluate 6 (2 x^2 - 5) where x = -3:

6 (2 x^2 - 5) = 6 (2×(-3)^2 - 5)

Hint: | Evaluate (-3)^2.

(-3)^2 = 9:

6 (2×9 - 5)

Hint: | Multiply 2 and 9 together.

2×9 = 18:

6 (18 - 5)

Hint: | Subtract 5 from 18.

| 1 | 8

- | | 5

| 1 | 3:

6×13

Hint: | Multiply 6 and 13 together.

6×13 = 78:

Answer: 78

7 0

2 years ago

James is kayaking. He can row 3 mph in still water. If he can travel 6 miles downstream in the same amount of time that he can t

nekit [7.7K]

Answer: the speed of the current is 0.6 mph

Step-by-step explanation:

Let x represent the speed of the current.

James is kayaking. He can row 3 mph in still water. If he can travel 6 miles downstream. Assuming he went with the current, it means that his total speed while travelling downstream is (3 + x)

Time = distance/speed

Time taken to travel downstream is

6/(3 + x)

In the same amount of time, he can travel 4 miles upstream. Assuming he went against the current, it means that his total speed while travelling downstream is (3 - x). Time taken to travel upstream is

4/(3 - x)

Since the time is the same, then

6/(3 + x) = 4/(3 - x)

Cross multiplying, it becomes

6(3 - x) = 4(3 + x)

18 - 6x = 12 + 4x

4x + 6x = 18 - 12

10x = 6

x = 6/10

x = 0.6 mph

4 0

3 years ago

If the angle is preserved, which describes the effect of moving the plane closer to the cone's vertex? Check all that apply.

Sholpan [36]

Let's go though the choices.

Major axis will get shorter. TRUE, CHECK ME

As the plane moves closer to the vertex the ellipse stays the same shape but shrinks.

Ellipse will become a circle. FALSE

As long as the plane is tilted, the ellipse can't be a circle.

Ellipse will degenerate to a point. TRUE, CHECK ME

Eventually the plane gets to the vertex, at which point (ha!) we have a single point.

Nappes? Is that a word? FALSE

The plane needs a steeper angle, steeper than the generators, before it can pass through both halves.

The generators are the lines through the vertex that form the cone. The plane isn't steep enough to hold any of them. FALSE

4 0

3 years ago

NO FILE HOSTING LINKS!!!!!!

fgiga [73]

Answer:

A. 7 pounds

B. $1.60

Step-by-step explanation:

For A you Divide 21 by 3

For B you Divide 14 by 9

8 0

2 years ago

Read 2 more answers

Emmanuel carves a cone-shaped hollow out of a solid clay cylinder. What is the approximate volume of the solid portion of the cy

bixtya [17]

Answer:

$3.14r^2(h-\frac{1}{3}h_1)$

Step-by-step explanation:

Let h be the cylinders height and r the radius.

-The volume of a cylinder is calculated as:

$V=\pi r^2h$

-Since the cone is within the cylinder, it has the same radius as the cylinder.

-Let $h_1$ be the height of the cone.

-The area of a cone is calculated as;

$V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi r^2h_1$

The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

$V=V_{cy}-V_{co}\\\\=\pi r^2h-\frac{1}{3}\pi r^2 h_1, \pi=3.14\\\\=3.14r^2(h-\frac{1}{3}h_1)$

Hence, the approximate area of the solid portion is $3.14r^2(h-\frac{1}{3}h_1)$

5 0

3 years ago