geno3141

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

5x - 3(2x - 4)

Use the distributive property:

5x - 3(2x) - 3(-4)

Can you finish this?

45 mins  =  45/60 hours  =  .75 hr

6 hrs 45 mins  =  6.75 hrs

Distance  =  Rate x Time

560 kms  =  Rate x 6.75 hrs

Divide both sides by 6.75 hrs:

560 kms / 6.75 hrs  =  Rate

Compound interest formula:  A  =  P(1 + r/n)^(n·t)

A  =  Final amount         P  =  Principal  = 10.00          t = number of years  =  2

r  =  interest rate (as a decimal)  =  0.04         n = numer of times compounded per year = 1

A  =  10.00(1 + 0.04/1)^(1·2)

A  =  10.00(1 + 0.04)^(2)                     <---   finish this ...

Hint:  -3.5(2 - 3n) - 2.5 n

=  -3.5(2) + -3.5(-3n) - 2.5n     (using the distributive property)

=  -7.0 + 10.5n - 2.5 n

=                          <--- finish this  (you will get one answer from A, B and C and another answer from D and E)

Different teachers want different types of proofs. I will use "m(∠1)" to mean "the measure of angle 1", which is a number, therefore it can be divided by 2 and can be found equal to another number.

Assume that ∠A ≅ ∠X  

     with  ray(AB) bisecting ∠A into the two smaller (inside) angles ∠1 and ∠2

       and ray(XY) bisecting ∠X into the two smaller (inside) angles ∠3 and ∠4.

To show that ∠1 ≅ ∠3.

Since  ∠A ≅ ∠X, m(∠A) = m(∠X).    (If anlges are congruent, they must have the same measure.)

Multiplying both sides by ½:   ½m(∠A) = ½m(∠X).

But, since ray(AB) bisects ∠A into ∠1 and ∠2, m(∠1) = ½m(∠A)

and, since ray(XY) bisects ∠X into ∠3 and ∠4, m(∠3) = ½m(∠X)

Since   ½m(∠A) = ½m(∠X),  m(∠1) = m(∠3).

Since   m(∠1) = m(∠3),  ∠1 ≅ ∠3.

If this doesn't make sense, post back.

y = 3x³ - 45

First step:  interchange x and y:

x  =  3y³ - 45

Second step:  solve for y:

Add 45 to both sides:                            x + 45  =  3y³

Divide both sides by 3:                    (x + 45)/3  =  y³

Find the cube root of both sides:     y  =  [ (x + 45)/3 ] ^ (1/3)

This last equation is the inverse function.

Since  c = 2d + 1  and  c = 3d + 7,   set these two equations equal to each other, giving  2d + 1  =  3d + 7.

Now, you can solve this for d, etc.

Concerning the common core curriculum in mathematics:

It has no consideration for the needs and abilities of all students.

It is a top-down approach to dictate a set of standards for everyone which have value for very few.

It argues that we need ot raise the standards of all, but should all be able to do engineering calculus when they want to be artists, auto mechanics, or dentists?

It would make as much sense to dictate that every student should be able to play the bassoon at an "all-state" level in order to get a high school diploma, or to be able to write comparison essays in both the styles of Thomas Wolfe and Ernest Hemmingway.

If you beleive that every fruit should be a banana (because a few ultra successful, and ultra lucky computer geniuses love bananas), you can agree with its philosophical foundations.

The first denominator is (m - 3)(m - 3)

The second denominator is 9 - m²  =  (3 + m)(3 - m)  =  (m + 3)(3 - m)  =  -(m + 3)(m - 3)

The common denominator is:  -(m + 3)(m - 3)(m - 3)