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You can use the calculator at this site to find the answer to  2^40

Getting an average of 79 on three tests is the same as getting a 79 on each test.

So after four tests, he will have the same score as    79 + 79 + 79 + x

The average of these four scores can be found by:  (79 + 79 + 79 + x) / 4

Since this average is 82, use the equation:             (79 + 79 + 79 + x) / 4  =  82

Simplify:                                  (237 + x) / 4  =  82

Multiply both sides by 4:                  237 + x  =  328

Subtract 237 from both sides:                    x  =  91

If the original of each length is  x,

then the new length of each is:  3x + 2                  (two more than three times the original)

Perimeter of new triangle:  (3x + 2) + (3x + 2) + (3x + 2)  =  42

--->     9x + 6  =  42

--->     9x  =  36

--->       x  =  4 

If you have two complex numbers written in polar notation, for example:

A = a(cosα + i·sinα)     and     B = b(cosβ + i·sinβ)  

Then A / B  =  (a/b)( cos(α - β) + i·sin(α - β) )

Can you see how to apply this?

A "recursive" definition is one in which the first term (or terms) are given and the rest of the terms are defined in terms of previous terms.

For the Fibonacci sequence, the first two terms are given, both are "1". After that, each new term is the sum of the previous two terms.

Construct rectangles that are 1x1, 1x2, 2x3, 3x5, etc.

The last two questions are "explore" questions; the intent is for you to learn through the process of exploration, not just repeating the answers of others.

Thanks Geno and Melody.

The answer is 15°.

(3x + 10°) + (x + 20°)= 90°

(3 x 15° + 10°) + (15° + 20°)= 90°

(55°) + (35°)= 90°

Solve    7.00 ÷ 0.84    --    use the calculator at this site ...

(4b^-2) ÷ (4b^-3)        Write with positive exponents:

=  (4/b²)  ÷  (4/b³)       Replace division with multiplying by the reciprocal:

=  (4/b²)  x  (b³/4)        Multiply numerator times numerator and denominator times denominator:

=  (4b³) / (4b²)             Cancel like factors:

=  b

Your question is:  3471 - 2300 =  ?

Can you solve this?

Those angles lie on a straight line so they add to 180 degrees.

3x+10     +90   +   x+20 = 180

Now solve it

or stick the numbers in and see ehich ones work.

There are 180° in the sum of the angles of one side of a straight line.

The center angle is a right angle (the little box in its corner indicates a right angle), so it contains 90°.

This means that there are 90° left for the two angles of 3x + 10° and x + 20°.

An appropriate equation is:  (3x + 10°) + (x + 20°) = 90°.

Can you finish this?

Assuming that B and C are both passing grades then yes you san :)

Just don't fail the final by much :)

You need to do it in pedmas order

Parenthesis

exponents

division and multiplication

addition and subtraction.

(-3)^2=-3×-3=9

9*2=18    and    4 divided by -2=-2

18+-2=16

How many apples are on the apple trees? 

How much fruit are in their refrigerators?

5 · 3³ + 7  = 5 x 3 x 3 x 3 + 7  =

323603605 x .33                  Now, it's calculator time!

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Please edit the question --- "she would have arrived in equation of the time"???

If you use the trig identity:  sin(A + B) = sin(A)cos(B) + cos(A)sin(B):

Substituting  A with x  and  B with 30:

--->   2[ sin(x + 30) ]  =  2[ sin(x)cos(30) + cos(x)sin(30) ]

Since    sin(30) = 1/2   and   cos(30) = √(3)/2

--->   2[ sin(x)·√(3)/2 + cos(x)·(1/2) ]

Using the distributive property with 2:

--->   √(3)sin(x) + cos(x)

 No i never would have known