Answer:
It is a reflection of the y axis, with 2 units down. :)
Step-by-step explanation:
Hey!
Hope this helps...
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To solve this, we will be doing a semi-alternate route, but it will get us to our answer...
400 / 100 = 4
30 / 4 = 7.5 seconds
60 * 60 * 7.5 = 27,000 meters per hour
<em></em><em>Lets plug it into our meters to miles formula...</em>
27,000 / 1,609.344 ~ 16.777 miles per hour
So...
The answer is: The Polar Express was going 27,000 meters per hour (or roughly close to 16.777 miles per hour)...
Answer:
The answer is
Step-by-step explanation:
6x+2
8x
p 8x
All of these equations will be set up as: h(t) =
+v₀t + h₀ where g represents gravity, v₀ represents initial velocity, and h₀ represents initial height. When working with ft/sec, g = 32. So, -g/2 = -16
1a) Length of time to reach its maximum height means you are looking for the x-value of the vertex (aka Axis Of Symmetry).
h(t) = -16t² + 160t
AOS: x =
=
= 5
Answer: 5 sec
1b) Length of time to fall to the ground means you are looking for the x-intercept when height (y-value) = 0.
h(t) = -16t² + 160t
0 = -16t² + 160t
0 = -16t(t - 10)
0 = -16t 0 = t - 10
t = 0 t = 10
t = 0 is when it started, t = 10 is when fell to the ground.
Answer: 10 sec
2c) Same concept as 1a
h(t) = -16t² + 288t
AOS: x =
=
= 9
Answer: 9 sec
2d) Same concept as 1b
h(t) = -16t² + 288t
0 = -16t² + 288t
0 = -16t(t - 18)
0 = -16t 0 = t - 18
t = 0 t = 18
Answer: 18 sec
3e) Same concept as 1a
h(t) = -16t² + 352t
AOS: x =
=
= 11
Answer: 11 sec
3f) Same concept as 1b
h(t) = -16t² + 352t
0 = -16t² + 352t
0 = -16t(t - 22)
0 = -16t 0 = t - 22
t = 0 t = 22
Answer: 22 sec
Answer:
The answer to your question is $ 8591.04
Step-by-step explanation:
Data
height = 11.4 m
diameter = 12 m
cost = $20/ft³
Process
1.- Calculate the volume of the cone
Formula
Volume = 1/3 πr²h
Substitution
Volume = 1/3 (3.14)(12/2)²(11.4)
Simplification
Volume = 1/3(1288.66)
Volume = 429.55 m³
2.- Calculate the cost
$20 ----------------- 1 m³
x ----------------- 429.55 m³
x = (429.55 x 20)/ 1
x = $ 8591.04