geno3141

The formula for the volume of a sphere is:  V  =  4/3 · π · r³

Can you take it from here?

a/3 > 4

Multiply both sides by 3:

a > 12

Derivatives are taken to find the slopes of tangent lines. They are also used to find maxima and minima.

I cannot tell when you will ever need to take the derivative of an example as the one that you gave.

3x²y - y

The degree of a polynomial is the degree of its highest degree term.

The degree of a term is the sum of the exponents of that term's variables. 

The term 3x²y has two variables:  x has an exponent of 2 and y has an exponent of 1; adding these together, the sum is 3; therefore, the degree of 3x²y is 3.  Another way of looking at this: if you write the term completely out, the term would be 3xxy; counting the number of variables (letters), there are three.

The degree of y is 1.

The highest degree is three; therefore, the degree of the polynomial is 3.

Dividing can be replaced by multiplying by the reciprocal.

The reciprocal of 2 is 1/2.

3/4 ÷ 2  =  3/4 x 1/2  =  (3 x 1) / (4 x 2)  =  3/8 

Another way of looking at this problem:

Dividing by 2 means taking one-half of it.

One-half of a fourth is an eighth; so one-half of 3/4 is 3/8.

5 +10 + 7 + 3  =  25

1/3 + 2/9 + 5/9  =  3/9 +2/9 + 5/9  =  10/9  =  1 1/9

25 + 1 1/9  =  26 1/9

Whole numbers are  0, 1, 2, 3, 4, ...

2.333... isn't a whole number; 2.333...  is 2 1/3  which is  7/3.

AS you entered it (with 16 decimal places), it is   23 333 333 333 333 333 / 100 000 000 000 000 000.

Call the intersection point of the two diagonals X.

Looking at Triangle BCX:  ∠BCX =  85°,  BX  =  10  and  CX  =  7.

Law of Sines for Triangle BCX:  sin(∠BCX) / BX  =  sin(∠CBX) / CX

                        --->               sin(85°) / 10  =  sin(∠CBX) / 7

                        --->               7 x sin(85°) / 10   =  sin(∠CBX)

1)  Find ∠CBX.

2)  Use ∠CBX and ∠BCX to find ∠BXC.

3)  Use ∠BXC to find ∠BXA.

4)  Use the Law of Cosines on Triangle AXB to find AB.

5)  Use the Law of Sines on Triangle AXB to find ∠ABX.

6)  Find ∠ABC.

7)  Find ∠BAD.

Since you know a point and a slope, use the point-slope form:  y - y₁  =  m(x - x₁)

     m  =  34     (x₁, y₁)  =  (1, -2)     --->     y - -2  =  34(x - 1)

                                                     --->     y + 2  =  34x - 34

                                                     --->     y  =  34x - 36

binary  1 1 0 1 0 0 1 0 1

=  1(2⁸) + 1(2⁷) + 0(2⁶) + 1(2⁵) + 0(2⁴) + 0(2³) + 1(2²) + 0(2¹) + 1(2⁰)

=  1(256) + 1(128) + 0(64) + 1(32) + 0(16) + 0(8) + 1(4) + 0(2) + 1

=  421