All Answers 358090 Answers

Here ya go

From this picture we can see that:

x + 24 + 1/4 + x = 70 + 1/3

2x + 24 + 1/4 = 70 + 1/3

2x = 70 + 1/3 - 24 - 1/4

x = (70 + 1/3 - 24 - 1/4) / 2

x = 553/24

x = 23 + 1/24 cm

Hit 2nd and it'll show up where it says 1/x

Thanks, guest....sorry for the boo-boo....!!!!

Can you translate your question into ordinary symbols, so that we can understand your question? Most of us can't read LaTex!. Thanks.

CPhill: A minor mistake. The speed of light is about 300,000 km/sec.

378,000,000 / 300,000 =1,260 seconds, or 21 minutes.

Radio waves travel at about 300,000,000 km /s

So

378,000,000km / 300,000,000 km /s  ≈  1.26 s

Lateral surface area  =   2 * pi * radius * height

1.73205080757

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How would you find all the solutions of x^5 - 3x^4 - 2x^3 - 4x^2 - 24x + 32

\( x^5 - 3x^4 - 2x^3 - 4x^2 - 24x + 32 \)     is a term. There is no solution.

I guess you mean a function and you're looking for the zeros.

\(f(x)= x^5 - 3x^4 - 2x^3 - 4x^2 - 24x + 32 =0\)

Solution guess and simplify term several times by polynomial division.

\(x_1=-2\)

\(x_2=1\)

\(x_3=4\)

  !

Solve for x:
x^5 - 3 x^4 - 2 x^3 - 4 x^2 - 24 x + 32 = 0

The left hand side factors into a product with four terms:
(x - 4) (x - 1) (x + 2) (x^2 + 4) = 0

Split into four equations:
x - 4 = 0 or x - 1 = 0 or x + 2 = 0 or x^2 + 4 = 0

Add 4 to both sides:
x = 4 or x - 1 = 0 or x + 2 = 0 or x^2 + 4 = 0

Add 1 to both sides:
x = 4 or x = 1 or x + 2 = 0 or x^2 + 4 = 0

Subtract 2 from both sides:
x = 4 or x = 1 or x = -2 or x^2 + 4 = 0

Subtract 4 from both sides:
x = 4 or x = 1 or x = -2 or x^2 = -4

Take the square root of both sides:
Answer: |x = 4   or x = 1   or x = -2   or x = 2 i   or x = -2 i

For a first step, find the lowest common denominator. (It is 144.)

Multiply every term by this number, being careful to handle the negative signs correctly.

Now, there are no fractions; the problem should be easier to solve.

To find rational answers, factor the constant term (32) and divide each of these numbers by the factors of the coefficient of the iinitial term (1).

The factors of 32 are +1, -1, +2, -2, +4, -4, +8, -8. +16. -16. +32, and -32.

Try these, one at a time, until you find one that makes the expresssion zero.

If you try +1, the expression becomes zero; this tells you that one of the answers is +1, and one of the factors of the expression is (x - 1).

Now, there are a couple of things that you can do.

You can divide the original expression by (x - 1) to give you a smaller expression:

         x⁴ - 2x³ -4x² - 8x - 32

Again, factor the constant term (32) and divide each of these numbers by the facotrs of the coefficient of the initial term (1).

And again, these factor are +1, -1, +2, -2, +4, -4, +8, -8. +16. -16. +32, and -32.

Try these, one at a time, until you find one that makes the expression zero.

This will give you a second solution ... create the factor .... divide, and continue this process until you can no longer get another solution.

Looks like you want us to do your homework for you.....we don't mind answering a FEW questions.........yours is a FEW too many....!!!!

If I understood this correctly, we have

5/8 -  2y/3 + (y -2) /6 - [ 3y + 1] /144  ≥  1 - y + [3y -2] / 36  + 7y / 12 - [ 3y - 4] /16

Multiply through by 144

90 -  96y + 24(y -2)  - [3y +1]   ≥  144 - 144y + 4[3y - 2]   + 84y  -  9[3y - 4]

90 - 96y  + 24y - 48 - 3y - 1   ≥     144 - 144y + 12y  - 8   + 84y - 27y  +  36

41 - 75y  ≥  172 - 75 y

41 ≥  172

-131 ≥  0     never true, thus.....no solution

3 1/9 =  28 / 9

2 4/7  =  18 / 7

So....we have

(28 / 9 )   *   ( 18 / 7)        swap denominators

(28 / 7 )  *  (18 / 9)   =

4    *      2      =

8

1.46 [ rads]  is correct

I need to find d^2. How do I do that? d^2=3520 is my math problem

d^2 =3,520 Take the square root of both sides,

d =sqrt(3,520) =59.32958........etc.