Answer:
1,2,4,8,16,32
Step-by-step explanation:
power of two sequence
Answer:
D, E and F
calculating the volume of regular bodies like prims works by multiplication alone.
you need some addition for surface area and for more complicated bodies that when the volume can't be calculated in one step
Answer:
The rocket will reach its maximum height after 6.13 seconds
Step-by-step explanation:
To find the time of the maximum height of the rocket differentiate the equation of the height with respect to the time and then equate the differentiation by 0 to find the time of the maximum height
∵ y is the height of the rocket after launch, x seconds
∵ y = -16x² + 196x + 126
- Differentiate y with respect to x
∴ y' = -16(2)x + 196
∴ y' = -32x + 196
- Equate y' by 0
∴ 0 = -32x + 196
- Add 32x to both sides
∴ 32x = 196
- Divide both sides by 32
∴ x = 6.125 seconds
- Round it to the nearest hundredth
∴ x = 6.13 seconds
∴ The rocket will reach its maximum height after 6.13 seconds
There is another solution you can find the vertex point (h , k) of the graph of the quadratic equation y = ax² + bx + c, where h =
and k is the value of y at x = h and k is the maximum/minimum value
∵ a = -16 , b = 196
∴ 
∴ h = 6.125
∵ h is the value of x at the maximum height
∴ x = 6.125 seconds
- Round it to the nearest hundredth
∴ x = 6.13 seconds
Answer:
9,10,11,12,13,14,15,16,17,18,19 and 29
Step-by-step explanation:
Hope this help!!
I’m not 100% bc/ I learned this last semester, but I think it’s B. So sorry if I’m wrong. I think this bc/ 0.04 is the interest rate as a percent, 4 is the time, 200 is the amount of money, and the one shows that it is exponential growth.