Emily J

Satellite dish antennas have the shape of a parabola. Consider a satellite dish that is 80 cm across. Its cross-sectional shape can be described by the function d(x) = 0.0125x^2 - x, where d is the depth, in centimetres, of the dish at a horizontal distan...

A jumping spider jumps from a log onto the ground below. Its height, h, in centimetres, as a function of time, t, in seconds, since it jumped can be modelled by the function h(t) = -490t^2 + 75t + 12.When does the spider land on the ground? ___ seconds (a...

One number is 10 larger than another. Write a function in standard form to represent the sum of their squares. The minimum sum of squares is ___. So I said that the function is f(x)=x^2+x+10 and since the question comes from an assignment on completing th...

A farmer wants to create a rectangular pen in order to raise chickens. Because of the location of the pen, the fence on the north and south sides of the rectangle will cost $5 per metre to construct whereas the fence on the east and west sides will cost $...

Is the LCD of x/2x-4 and 5x/12x-24 not 24(x-2)? The original question is x/2x-4 + 5x/12x-24 and I factored the denominators first so that I could find the LCD. And I got: x/2(x-2) + 5x/12(x-2) After that, I multiplied up to the LCD and got: x/2(x-2) + 5x/...

The sum of the first n terms of the geometric sequence -1, -3, -9,... is -3280. Find the value of n. Express answer in simplest fractional form. 1. t1= -1 2. r = 3 3. S6 = I got -364 but it's not the right answer 4. n = I keep getting a decimal number: 18...

A baseball diamond is actually a square with 90 feet between the bases. The pitcher's mound is 60.5 feet from home plate. How far is the pitcher's mound from the first base? Round all answers to 1 decimal place I used the Pythagorean theorem and got 66.6....

If A is a positive position angle of the point, (4, -2), answer each of the following.Rationalize all the denominators. a) sin A= b) cos A= c)tan A= ____________________________________ I got -(square root of 20) for sine, (square root of 20) over 5 for c...

A 20 m vertical telephone pole is standing on a 15 degree slope. One guy wire is attached 30 m up the slope and another guy wire is attached 30 m down the slope. What is the length of the guy wire attached down the slope? I don't understand the question o...

Find the coterminal angles for 8pi/3. I found one: 8pi/3 - 2pi= 2pi/3 My textbook says that I should add subtract 4pi to find the other one and I'm very confused as to how you know what to add/ subtract.

Oh, the function should be f(x)=2x^2+100 right?

I'm a little confused: Why isn't x+10 squared?

Oh never mind, I got it! Thank you so much. This helps a lot!! :)

I don't think I exactly understand how to figure out the LCD. So how do you know that the LCD is 12(x-2) not 24(x-2)?