The answer is x >_ -2 and x >_ 7.
Answer:
Step-by-step explanation:
a) since acceleration can be expressed as a(t) = dv/dt
We use the chosen rule to obtain
dv/dt = dv/dx * dx/dt = v* dv/dx
We can now set v dv/dx = -kv^2
Taking v from both sides
dv/dx = -kv
Dv/v = -kdx
In (v)= kx+ c
V= e^kx+c
From v (o) = 150
V = 150e^kx
When distance x= 2000ft convert to miles gives 0.378788 mi then velocity v = 15 mi/he
15= 150. e ^ 0.378788k
Lm (o.t) = -0.378788k
K= 6.0788mi
C) we return to dv/dt = -kv^2 = dv/v^2 = -k dt
-1/v = -kt +c
From v(o) = 150, we get - 1/150= c and
1/v - 1/150= kt
We know v= 15mi/hr and k = 6.0788
1/15 - 1/150 = 6.0788t
T = 9.8704.10^-3hr.
Answer:
A. 8 1/4 * 11 1/2 * 14=1328 1/4 ft^2
OR
8 1/4 height times 11 1/2 width times 14 in length equals 1328 1/4 feet squared
B. 8 1/4 * 14 1/2 * 14=1674 3/4
OR
8 1/4 height times 11 1/2 width plus 3 so 14 1/2 width times 14 equals 1674 3/4 feet squared
Step-by-step explanation:
That percenatage also equal 58.33333%
To convert it to a decimal, move the point over two places to the left.
0.5833333 would be your answer.
Answer:
Option (2)
Step-by-step explanation:
To solve this question we will use the property of tangents drawn to a circle.
"Tangents drawn from an external point to a circle are equal in length"
From the figure attached,
In ΔDEF,
DA = DC = 14 units [Equal tangents]
EA = EB = 13.7 units [Equal tangents]
FB = FC = 9 units [Equal tangents]
Therefore, DE = DA + AE = 14 + 13.7 = 27.7 units
EF = EB + BF = 13.7 + 9 = 22.7 units
DF = DC + FC = 14 + 9 = 23 units
Perimeter of ΔDEF = DE + EF + DF
= 27.7 + 22.7 + 23
= 73.4 units
Option (2) will be the answer.
