Answer:
<h2><u><em>
432 cm³</em></u></h2>
Step-by-step explanation:
The volume of a prism =Base Area× Height.
6 * 9 * 8 =
54 * 8 =
432 cm³
Answer:
x=15, y=12
Step-by-step explanation:
Please see the attached pictures for full solution.
Answer:

Step-by-step explanation:
step 1
we know that
The area of Tracy's backyard is 
Convert to an improper fraction

step 2
To find the area of the garden, multiply the area of the backyard by 1/3
so

Answer:
<em>This is a guess but is it : A Shadow ?</em>
<em>Hope this helps..</em>
<em>Also, may I have Brainliest if correct..?</em>
<em>Have a nice day!</em>
Answer:
a. v(t)= -6.78
+ 16.33 b. 16.33 m/s
Step-by-step explanation:
The differential equation for the motion is given by mv' = mg - γv. We re-write as mv' + γv = mg ⇒ v' + γv/m = g. ⇒ v' + kv = g. where k = γ/m.Since this is a linear first order differential equation, We find the integrating factor μ(t)=
=
. We now multiply both sides of the equation by the integrating factor.
μv' + μkv = μg ⇒
v' + k
v = g
⇒ [v
]' = g
. Integrating, we have
∫ [v
]' = ∫g
v
= 
+ c
v(t)=
+ c
.
From our initial conditions, v(0) = 9.55 m/s, t = 0 , g = 9.8 m/s², γ = 9 kg/s , m = 15 kg. k = y/m. Substituting these values, we have
9.55 = 9.8 × 15/9 + c
= 16.33 + c
c = 9.55 -16.33 = -6.78.
So, v(t)= 16.33 - 6.78
. m/s = - 6.78
+ 16.33 m/s
b. Velocity of object at time t = 0.5
At t = 0.5, v = - 6.78
+ 16.33 m/s = 16.328 m/s ≅ 16.33 m/s