Expand and simplify 2(x+7)+3(x+1)

Which expression is the radical form of m to the power of -0.3333

Evgen [1.6K]

Answer:

A1/ ∛m

Step-by-step explanation:

m ^ (-1/3)

this is m to the cubed root in the denominator

1/ ∛m

8 0

3 years ago

A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the numbe

ycow [4]

Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

$S_n = \frac{n}{2}(n - 1)$

Step-by-step explanation:

Given

For 5 people

$\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}$

Using the given instance of 5 people, the number of handshakes can be represented as:

$(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0$

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

$S_n = \frac{n}{2}{(T_1 + T_n})$

Where

$T_1 = n - 1$ --- The first term

$T_n = 0$ --- The last term

So:

$S_n = \frac{n}{2}(n - 1 + 0)$

$S_n = \frac{n}{2}(n - 1)$

7 0

2 years ago

the two lines represent the amount of water, over time, in two tanks that are the same size. Which container is filling more qui

uranmaximum [27]

The missing figure is attached down

Answer:

Container A is filling more quickly

Step-by-step explanation:

<em>Let us explain the linear relation</em>

The linear equation is y = m x + b, where

m is the slope of the line which represents the rate of change (change in y/change in x)
b is the y-intercept which means the initial amount of y (at x = 0)

<em>If a line represents the amount of water over time, then it represents the rate of filling of the water</em>

∵ There are two containers A and B that have the same size

∵ The two lines represent the amount of water over time in

containers A and B

∴ The slopes of the lines represent the rat of water in the tanks

→ That means the greater slope represents the greater rate

∵ The greater the slope, the steeper the line

∴ The container that represented by the steeper the line is filling quickly

→ The line represents container A is steeper more than the line

represents container B

∴ Container A is filling more quickly

4 0

3 years ago

What is the perimeter of the given rectangle 4x+8 and 2x+3

babunello [35]

You would set the equations equal to eachother and get x=-5/4 and then plug that in for x, i hope this helps!

3 0

3 years ago

A car travels 14km in 25mins . Find out how far the car can travel in 5 hours if the speed remains the same ?

jekas [21]

<h3><u>Answer :- </u></h3>

168 km ...

<h3><u>Explanation :- </u></h3>

It is given that the car travels 14km in 25 minutes..

Now , assume that the distance the car travel in 5 hours be x..

Since 1 hour = 60 minutes..
5 hours = 300 minutes ..

• Thus , The two given statements are :-

14km -----------------> 25 minutes..
And, x km -------------> 300 minutes..

The distance travelled by car and the time taken by the car is directly proportional to each other....

$\frac{14}{25} = \frac{x}{300}$

$= x = 168km$

• Hence , Car can travel 168km in 5 hours ..

Hope this helps you :)

6 0

2 years ago