mathleteig

Well, we just make h(t) 0 since it reprsents the height.

-16t^2 + 100t + 5 = 0

Using the Quadratic Formula, 

We get the value of t as 25/8 +/- sqrt(645)/8.

The two solutions approximated are -0.05 seconds and 6.23 seconds. We take the positive solution in this case. It takes 6.23 seconds for the ball to reach the ground.

Let's first get this into a normal equation "y = mx + b" form.

-3x + 3y >= 12

3y >= 3x + 12 

y >= x + 4

From this, we can find the x and y intercepts to make it easier to graph. After plugging in 0 for x and y, we get the two intercepts....

x - intercept: (0, -4)

y - intercept: (4, 0)

Then, since it is >= and not just >, the line is not dotted, but it is instead shaded in because those are included in the set of values for which y >= x + 4 is valid. Also, since it is >=, you shade above the line. From all of these, I can conclude it is Graph #4.

It is the shift key and 1.

Consider x to be the number of days

350,000 + 200x = 1,000,000

200x = 650,000

2x = 6,500

x = 3250 days

I assume you mean factorial... the symbol is "!"

n! = n! * (n - 1)! * (n-2)! ... * 1

For example

5! = 5 * 4 * 3 * 2 * 1 = 120 

This is just a few clever algebraic manipulations... 

Let's say b = banana, a = apple, m = mango, n = nectarine

b + a = m 

b = a + n

2m = 3n

Since b = a + n, 

b + a = m --->  a + n + a = m

2a + n = m 

Since 2m = 3n, n = 2m/3

2a + 2m/3 = m

2a + 2m/3 = 3m/3

2a = m/3

a = m/6

1/6 of a mango balances an apple.

After guessing & checking, I only found these two answers...

a = 16, b = 15

a = 9, b = 2

Oh! Thanks! I understand your train of thought

So... triangle DFE is the medial triangle of triangle ABC. Therefore, it has 1/4 of the area of triangle ABC, meaning the area of DFE is 18.

I don't know where to go from there.

Angle ACB = 180 - 105 = 75 (LINEAR PAIR POSTULATE)

Angle BAC = 180 - (75 + 75) = 30 (TRIANGLE SUM THEOREM)

Angle BAD + Angle ACD = 180 (SAME SIDE INTERIOR ANGLES THEOREM)

Angle  BAD = Angle BAC + Angle CAD (ANGLE ADDITION POSTULATE)

115 + 30 + x = 180 

145 + x = 180 

x = 180 - 145 

x = 35 degrees

I put 337.5% as my answer. It is incorrect.

There is a relatively hard geo question at the very end.

I think I got a 21 or 23

AMC8 this year wasn't as hard as I thought it was going to be. Just be prepared for a lot of number theory.

CalculatorUser, what school district do you go to?

No clue.

That is what I got. That is incorrect!

By the way, I feel violated for how tall you guys are. At least I got taller than last year's pathetic 4'8". I'm 5'2" and in 7th grade.