Answer: The rocket will reach its max after 4 seconds
Step-by-step explanation:
Hi, to find the maximum height, we have to set the first derivative of the equation equal to zero.
y=-16x^2+128x+136
0 = (2)-16x +128
0= -32x+128
Solving for x:
32x = 128
x = 128/32
x = 4 seconds
The rocket will reach its max after 4 seconds
Feel free to ask for more if needed or if you did not understand something.
Answer:
Inequality: 0.08x + 2300 ≥ 2800
Liz needs to sell products of $6250 at least.
Step-by-step explanation:
Given that:
Per month salary of Liz = $2300
Commission = 8% =
= 0.08
Amount Liz wants to earn = $2800
Let,
x be the amount of sales.
0.08x + 2300 ≥ 2800
0.08x ≥ 2800 - 2300
0.08x ≥ 500
Dividing both sides by 0.08

Hence,
Liz needs to sell products of $6250 at least.
The minute hand has swept through 46 minutes on the clock. You have to set up a ratio to solve this:

You can compare the 60 minutes on a clock to 360 degrees because 60 minutes on a clock is one whole rotation. So then, you cross multiply and simplify:

Therefore, the minute hand has swept through an angle with a measure of 276 degrees.
Well, you can't have 4/3 of a rope because 3/3 would be one whole. That is an improper fraction. It would be 1 and 1/3. If you divide that in to two, then you get 2/3. Is that the answer you were looking for?
Answer:
1. 4.5
Step-by-step explanation:
3 x 1.5 = 3 x 1 1/5 = 4.5