It's an expression and can't (really) be simplified.

         Distance = Rate x Time

            13m    =  (2.1 m/s) x Time                       Divide both sides by 2.1:

13m / 2.1 m/s  =  Time

    6.2 seconds  =  Time  (approximately)

This type of question will not have a specific numerical answer.

To find the derivative of  u = sin(2x),  we need to use the chain rule:  u' = cos(2x)·2  --->  u' =  2cos(2x)

Similarly,  v = cos(2x)  --->  v' = -sin(2x)·2  --->  v' = -2sin(2x)

To find the derivative of  y = sin(2x)·cos(2x), we need to use the product rule:  y = u·v  --->  y' = u·v' + v·u'

y' = sin(2x)·-2sin(2x) + cos(2x)·2cos(2x)     --->  y' = -2sin²(2x) +2cos²(2x)

|y'| = |-2sin²(2x) +2cos²(2x)|  =  2|cos²(2x) - sin²(2x)|

The above post should be removed and is offensive, berating, of topic to the context of the forum and also belittling. I reckon that all users should not encourage this, and all mods should remove posts such as this asap, and so people do not get harrased, bullied and trashed by jerks such as this (previous) anonymous poster. Any post that targets someone with an off topic thread should be treated as spam and trolling, whether a member or not. Yes perhaps mine was also, perhaps the above post is a rebutle, but it is definately targeting and berating a member which mine was not doing. And I do not know where else to pass suggestions on to to pass on feedback.

I see, however the 1 ohm resistor is not in the loop with the i2=21/4. Also, the 1 ohm resistor is in parallel with the 1 ohm resistor. So I still don't understand according to the logic explained. 

Additionally, the current is flowwing (ccw), would it be correct to say this is not for conventional current? Does this also work for the conventional current, would the dirrection or anything else need to be changed?

It is an equation with one variable. If you are solving for v:

26=8+v

Subtract 8 from both sides:

18 = v

Assuming you mean 4* (4 + 1/3):

= 4* (12/3 + 1/3)

= 4 * 13/3

=$${\frac{{\mathtt{52}}}{{\mathtt{3}}}} = {\mathtt{17.333\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

2/3 of 7/10                               

=  2/3 x 7/10                        "of" means "times"

=  14/30                               multiplying numerator times numerator; denominator times denominator

=  7/15                                 reducing by dividing both the numerator and denominator by 2

The part 100+200 equals 300 but it does not equal 300 + 300.

If you look at the far left side:  100+200,  it does not equal the far right side  600.

Using 27.7 quarts per day for 6 days means that 27.7 x 6 = 166.2 quarts.

180 - 166.2 = 13.8 quarts remaining. (About enough for another half-day.)

Do you wanna do my collage math I'm only in 9th Grade. Are you up to do that?

What do you mean? It's just a Tablet! Why is it stupid?

This can be done by first calculating the whole "slice" of the circle and then subtracting the area of the triangle.

Since there are 360° in a triangle and the central angle is 30°, the area of the slice will be 30/360 or 1/12 of the circle.

The formula for the area of a circle = πr².  

Since the diameter is 6, the radius will be 3 and the area of the circle = π·3², which is 9π.) = The area of the slice will be (1/12) of 9π which is (3/4)π .

The area of the triangle can be found various ways. One way is to use the formula:  A = .5·a·b·sinC.

a = 3     b = 3    sin(30°) = 0.5                    A = .5·3·3·.5  =  2.25

Area of the shaded area  =  (3/4)π - 2.25

Way to many to count.

100+200=300+300= 600 that is correct 

(3x10^4)x(2x10^2)

=(3x10000)*(2x100)

=30000x200

=6000000

This is a kind of ACt pratice problem in Mississippi ACT Exam Prep workbook. Accctually, the triangle ABC has a height of 1.5 units.But i think it can not be,becasue the height of the triangle ABC should be shorter than the radius.And the area of the triangle ABC is 2.25 units square.So the base of the triangle ABC is 3 units.I am wondering how they get 3.I put the problem into the forum because i think they did wrong on this problem. And  i want to find ot the anwser togerther.

A woodchuck could chuck as much wood as a woodchuck could chuck wood if a woodchuck could chuck wood!

LOL!!!.......

8123.5003333333333333

It appears that you went from Philadelphia to New York City by using Amtrak's Acela while I went by way of Hong Kong -- could you use some frequent flyer miles?

4x * x^2 =

4x^3

If your variable is an exponents, use logarithms (either common or natural).

7^x  =  5                    Take the log (or ln) of both sides:

Using common logs:

log(7^x)  =  log(5)       Now, since you have a log of an exponent, the exponent comes out as a multiplier:

x·log(7)  =  log(5)         Now, divide both sides by log(7):

x  =  log(5) / log(7)       Calculator time:

x  ≈  0.827

[If you used ln instead of log, your answer would be the same.]

If you want to simplify the power of a quotient, take the numerator to the exponent and take the denominator to the exponent, also:  for example:  (2/3)^4  becomes  2^4 / 3^4  which becomes 16/81.