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Do you have some data so that we can make an estimate?

Because of the distance into the future (40 years), the estimate won't have much validity.

E = (h·c)/λ

2.93 x 10^-25  =  (6.626 x 10^-34 · 2.998 x 10^8) / λ

2.93 x 10^-25 · λ  =  (6.626 x 10^-34 · 2.998 x 10^8) 

λ  =   (6.626 x 10^-34 · 2.998 x 10^8) / ( 2.93 x 10^-25 )

λ   =  6.78 x 10^-1 m 

If it's the vine 21, but it is 19!

-4.4s - 2  =  -5.5s - 4.2

Add  5.5s  to both sides:

1.1s - 2  =  -4.2

Add  2  to both sides:

1.1s  =  -2.2

Divide both sides by 1.1:

s = -2

4x + 3  >  2x - 7

Subtract  2x  from both sides:

2x + 3 >  -7

Subtract  3  from both sides:

2x  >  -10

Divide both sides by 2:

x  >  -5

the angle that is vertical to the 3x° angle also has 3x°.

The 3x° and the angle (2x + 20)° are interior angles on the same side of the transversal; therefore they are supplementary.

This creates the equation:  3x° + (2x + 20)°  =  180°

Solve this equation for x.

It's a power of (1/4)

Yeah thanks! just got confused with the two x's.

the answer is x=5

(32-12=20. 20/4=5)

7411.74x.025= 1852.935

7411.74-1852.935=5558.805

ANSWER: 5558.805

This is the equation of a parabola. Since this parabola opens downward, the vertex will be the highest point. The t-value of the vertex is found by  -b/(2a).

a = -1    b = 8    c = -4

Use these to find the t-value.

Then place that value into the original expression and that answer will be the maximum possible value.

Try it; if you get stuck, post back.

After you distributed, you got: 

5x + 20 - 8  =  32 + x          (This is correct!)

Look at the left side:  you have  + 20 - 8;  combine these to get  12:

5x + 12  =  32 + x

You need to get all the x-terms to one side; you can get rid of the x-term on the right side by subtracting x from both sides:

4x + 12  =  32

Can you finish it from here?

This is the equation of a parabola. Since this parabola opens upward, the vertex will be the lowest point. The x-value of the vertex is found by  -b/(2a).

a = 2    b = -8     --->     -(-8)/(2·2)  =  8/4  =  2

f(4) = 2(2)² - 8(2) + 19  =  11     <---  The minimum value of the function.

9/-2+-8/9. So, first find LCD which is 18. Then for 2, you multiplied by 9 to get to 18. 9 becomes 81. and -8 becomes 16. Then, you get -81/18+-16/18. 81+16 is 97 so -97/18 is your answer. Simplify too.

Thanks for that, geno.......I see that your answer is what they were looking for.....

2x5 is equal to 10 or 10 to the power of 1. (Which is a less efficient way to say it, but it still works.)

If the product of a number and -3 is reduced by 5 the result is 25 less than twice the opposite of the number. Find the number.

OK.......mathematically, we have

[N(-3) - 5] + 25 = 2(-N)     simplify

-3N + 20 = -2N                add 3N to both sides

20 = N    

If you are trying to solve the equation:  -2x - 6 < 2

then:  add 6 to both sides:                        -2x < 8

and:  divide by -2 (because you are dividing by a negative, you must change the direction of the inequality symbol:                               x > -4

If you are refering to the randInt function on the TI calculator, randInt(a, b) will give you a random integer in the range from a ≤ x ≤ b.

randInt(79) will give you an error message because it needs two limits, such as randInt(1,79) or randInt(79,100).

21 lmao 

If  f(x)  =  x² -2x + 2

then  f(x + h)  =  (x + h)² - 2(x + h) + 2

                        =  x² + 2xh + h² - 2x - 2h + 2

[f(x + h) - f(x)] / h =  [ ( x² + 2xh + h² - 2x - 2h + 2 ) - ( x² -2x + 2 ) ] / h

                              =  [ x² + 2xh + h² - 2x - 2h + 2 - x² + 2x - 2 ) ] / h

                              =  [ 2xh + h² - 2h ] / h

                              =  2x - 2 + h

rewrite it as 2-2x-6

1.combine like terms 

-2x -4 is the simplist answer

I assume you might want to convert 79 radians to degree measure

Use this:

79 * 180/pi = 4526.36658°

To convert this to an angle in the interval [0, 360]  divide the answer by 360 = 12.5732405

Subtract the integer part and multiply the decimal part by 360 = .5732405 * 360 = about 206.37°