(√2)sin (x- pi/4) +1 =0 sin(x-pi/4) = -1/√2 Within the interval 0≤x≤3pi, this occurs when (x-pi/4) = 5pi/4 and (x-pi/4) = 7pi/4. Solve for x.

Trig Functions (answer)

(√2)sin (x- pi/4) +1 =0 sin(x-pi/4) = -1/√2 Within the interval 0≤x≤3pi, this occurs when (x-pi/4) = 5pi/4 and (x-pi/4) = 7pi/4. Solve for x.

Let x = the cost of each rose: $52.50 + 13x = $99.30 Solve for x.

Fill in the blanks (answer)

The answers are "dark" and "light" respectively. When the optical paths of the two photons differ by half a wavelength (nλ + λ/2) at point P, the photons from each slit will have opposite phases and will destructively interfere. When the optical paths at P differ...

Resolve each vector into its x and y components. For the 6N force at 135°, the components are: F = 6·cos (135°)i + 6·sin(135°)j where i and j are the unit vectors in the x and y directions respectively To get the net force, add all of the x components...

Fill in the blanks (answer)

For a simple harmonic oscillator: Angular frequency = 2pi/period Frequency = 1/period x(t) = (amplitude)·sin(angular frequency(t - initial displacement)) where t is time. Assumes equilibrium position is at x = 0 Velocity = dx(t)/dt = (amplitude)·(angular frequency)·cos(angular...

Assuming we're talking about a quadrilateral, then the sum of the four internal angles is 360°, so w + x + y + z = 360°. The arithmetic mean is: (w+x+y+z)/4 = 360°/4 = 90°

If x = the monthly rate, you want: (1+x)12 = 1.055 1+x = (1.055)1/12 x = (1.055)1/12 - 1 Use your calculator to compute the answer. x will be in decimal form. Multiply by 100 to convert to percent.

Simple question (answer)

Choice (c) is a duplicate of choice (a). I think you meant choice (c) to be "acceleration and position" because that is the correct answer. Consider a simple pendulum which exhibits SHM when the displacement is small. On the downswing, the acceleration and velocity...

Find the unit rate by dividing the miles by the hours. That will tell you how many miles meg walks in one hour. Remember, when you divide by a fraction, it's the same as multiplying by the fraction's reciprocal: (1/3 mile)/(1/9 hour) = (9/1)(1/3) = 9/3 = 3 miles/hour...

v(t) = at + v0 v(t) = velocity at time t a = acceleration = 2 m/s2 (assuming SI units) t = time = 3 seconds v0 = starting velocity = "at rest" = 0 Plug the numbers into the formula to get the answer. Units are m/s.

Solve for a: 3a + b = 54 When b= 9: 3a + 9 = 54 3a = 45 Can you finish it?

7•8 + 7•82 + 7•83 +....+ 7•8n 7•8(1 + 81 + 82 + ...+ 8n-1) The sequence inside the parentheses is a geometric sequence with n terms. a1 = 1 and an = 8n-1. The common ratio is r = 8. The formula for the sum of a geometric sequence...

Let x = the rate of the biker going north. The rate of the biker going east is x+3. distance = rate*time so after one hour they have traveled a distance of x and x+3 respectively. Draw a right triangle. One leg is x, the other is x+3. The hypotenuse is 15...

Optimization question (answer)

Let x = the ticket cost reduction in $. The ticket price function will be: Price = $9 - x The demand function (number of spectators) is: p(x) = 27,000 + 5000x The revenue is: R(x) = (Demand)(Price) R(x) = (27,000...

You do this by first writing it in factored form. Why? Because they give you the factors! For the zero 1, the factor is (x-1) because when x = 1 (x-1) = 0. So: P(x) = (x-1)(x-2)(x+3)(x+1) Multiply it out and simplify by combining like...

P(head) + P(tail) = 1 P(head) + 0.47 = 1 Solve for P(head)

what is her rate in change in hours (answer)

Rate of change = chapters per hour = 54/6 = _______?

Density = Mass/Volume = (38.6 g)/(2 cm3) = ______ g/cm3

distance = rate*time distance = 60 miles rate = 40 mph distance = rate*time 60 miles = (40 mph)*time Solve for time (units will be hours).

That's not the correct equation to model this situation. The correct equation is: 26 = 26t - (1/2)(-13)t2 Multiply both sides by (-2/13): -4 = t2 - 4t 0 = t2 - 4t + 4 0 = (t-2)2 t = 2 seconds ------- An...