The sum of the speeds of two trains is 719.5 mph. If the speed of the first train is 4.5 mph faster than the first train, find the speeds of each

The sum of the speeds of two trains is 719.5 mph. If the speed of the first train is 4.5 mph faster than the first, find the speeds of each

Find the integral?

Find the integral of 2^5x dx from negative infinity to 0. When I integrate, I got 2^(5x)/(5*ln(2)) from negative infinity to 0, and I got 1/(5*ln(2))+infinity, but the answer should be positive... more

11/29/13

How do you prove log(a^x) = 1/log(x^a)

My teacher will give me extra credit if I can prove that   log(a^x) = 1/log(x^a)   Can you help? Thank you.

11/28/13

solve for the exponential equation

solve the equation e2x -4ex-5=0 

11/26/13

If $30400 is invested at an interest rate of 5 percent per year, compounded semi-annually, find the value of the investment after the given number of years.

Each answer should be correct to the nearest penny.    5 Years:   10 Years:   15 Years:

11/26/13

Find their difference?

The numbers 23.982 and 3.4687 are both approximate and correct only to their last digits. Find their difference and state how many figures in the result are trustworthy.

11/21/13

The length of a rectangle is less than twice the width, and the area of the rectangle is . Find the dimensions of the rectangl

The length of a rectangle is 1 ft less than twice the width, and the area of the rectangle is 21ft2 . Find the dimensions of the rectangle

half angle trigonometry formula

given cos (a)=4/5 and 3pi/2<a<2pi.  Find the exact value of cos (a/2)  

half angle formula

Given sin (a)= 8/9 and pi/2 <a<pi Find the exact value of sin (a/2) do not use decimals  sin (a/2)=?

use an addition or subtraction formula to simplify the equation

For cos x cos 3x - sin x sin 3x=0 use an addition or subtraction formula to simplify the equation and then find all solutions of the equation in the interval [0, pi)   the answer... more
Sum

11/20/13

Use the sum formula to fill in the blanks in the identity below.

Use the sum formula to fill in the blanks in the identity below. Give exact answers. Do not use decimals. Your answer should be a fraction or an integer.    sin (x+pi/6)= sin (x)=? cos (x)=?

Descartes' rule

Use Descartes' rule of signs to determine the possible number of positive real zeros and the negative real zeros for f(x)=x^4-9x^2-6x+4

synthetic division

Use synthetic division to decide whether k=2, k=-1, or k=0 are zeros off(x)=x^4-6x^3+x^2+24x-20. If not, give the value of f(k)

Find height of a projectile

Height of a Projectile. A stone is thrown directly upward from a height of 30ft with an initial velocity of 60ft/sec. The height of the stone t seconds after it has been thrown is given by the... more

how to solve 2(3^x)=12

Cant remember the proper way to solve   2(3x)=12  I get to 2(log3)=log12

11/18/13

list rational zeros?

Given f(x)=x^3+2x^2-13x+10, (a) list all possible rational zeros, (b) find all rational zeros, and (c) factor f(x).

can anyone math help?

Factor f(x)=x^4-x^3-7x^2+x+6 into linear factors given that 1 is a zero of f(x)

11/18/13

What must be the friction?

Harry Hotrod rounds a corner in his sports car at 50 km/h. The friction force holds him on the road. If he has twice the speed, what must be the friction force to prevent him from skidding off the... more

11/18/13

What's the shortest length?

A certain cord will break if its tension exceeds 360 N. Suppose the cord is attached to a 0.40 kg ball. If the ball is to be swung with a speed of 25 m/s, what's the shortest length of cord that... more

11/18/13

How fast can the ball?

A certain cord will break if its tension exceeds 250 N. Suppose the cord is attached to a 0.50 kg ball. If the ball is swung in a horizontal circle at the end of a 0.80 m cord, how fast can the... more

11/18/13

What's the centripetal acceleration?

What's the centripetal acceleration of a car traveling at a constant speed of 26.0 m/s around a curved road which has a radius of 225 m.

this is a half angle problem... let sinx=-1/3 with x in Quadrant III evaluate sinx/2

please I need help I don't know how to solve this!!!!!!

Use the distributive property to remove the parentheses. 5(9/10x-1/5)

Use the distributive property to remove the parentheses. 5(9/10x-1/5)=

3x^4-5x^2+10/x-7

 divide the polynomial by synthetic division

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