Answer:
-7.2
Step-by-step explanation:
-4(0.3)-6
-1.2-6
-7.2
Answer:
4.45 ccs will remain after 5 hours.
Step-by-step explanation:
The anti-biotic in his body decreases at a rate proportional to the amount, Q(t), present at time t.
(dQ/dt) = - kQ ((Minus sign because it's a rate of reduction)
(dQ/dt) = -kQ
(dQ/Q) = -kdt
∫ (dQ/Q) = -k ∫ dt
Solving the two sides as definite integrals by integrating the left hand side from Q₀ to Q and the Right hand side from 0 to t.
We obtain
In (Q/Q₀) = -kt
(Q/Q₀) = e⁻ᵏᵗ
Q(t) = Q₀ e⁻ᵏᵗ
the initial injection was 8 ccs and 5 ccs remain after 4 hours
Q₀ = 8 ccs,
At t = 4 hours, Q = 5 ccs
5 = 8 e⁻ᵏᵗ
e⁻ᵏᵗ = 0.625
-kt = In (0.625) = -0.47
-4k = 0.47
k = 0.1175 /hour
Q(t) = Q₀ e⁻⁰•¹¹⁷⁵ᵗ
At t = 5 hours, Q = ?
Q = 8 e⁻⁰•¹¹⁷⁵ᵗ
0.1175 × 5 = 0.5875
Q = 8 e(^-0.5875)
Q = 4.45 ccs
Hope this Helps!!!
Let "a", "b" and "с" be sides of the triangle ("с" is the longest side).
The triangle will be:
right if a² + b² = c²
аcute if a² + b² > c²
obtuse if a² + b² < c²
a.
a=3, b=4 and c=5
a² + b² = 3² + 4² = 9 + 16 = 25 and c² = 5² = 25
25 = 25 ⇒ right triangle.
b.
a=5, b=6 and c=7
a² + b² = 5² + 6² = 25 + 36 = 61 and c² = 7² = 49
61 > 49 ⇒ аcute triangle.
c.
a=8, b=9 and c=12
a² + b² = 8² + 9² = 64 + 81 = 145 and c² = 12² = 144
145 > 144 ⇒ аcute triangle.
Move all terms to the left side and set equal to zero. then set each factor equal to zero. x=1,-3
4 feet
Step-by-step explanation:
there's 12 inches in a foot. so 48÷12= 4 feet
