Answer:
The answer to your question is (g°f)(x) = 7
Step-by-step explanation:
Data
g(x) = 3x - 2
f(x) = x + 5
(g°f)(-2)
Process
1.- Evaluate g(x) on f(x)
(g°f)(x) = 3(x + 5) - 2
-Expand
(g°f)(x) = 3x + 15 - 2
-Simplify
(g°f)(x) = 3x + 13
2.- Evaluate (g°f)(x) on -2
(g°f)(-2) = 3(-2) + 13
-Expand
(g°f)(-2) = -6 + 13
-Simplify
(g°f)(x) = 7
Pretty sure the correct answer is 19 :))
Answer:
<h2>SU = 3.5</h2>
Step-by-step explanation:
We have the triangle 30° - 60° - 90°.
Right triangles with 30-60-90 angles will have their ratio of the sides as
1 : √3 : 2 (look at the picture).
We have:
SR : SU : RU = 1 : √3 : 2
Therefore RU = 2SR and SU = SR√3.
We have RU = 4. Substitute:
2SR = 4 <em>divide both sides by 2</em>
SR = 2
SU = 2√3 ≈ 2(1.73) = 3.5
Answer:
a). Y = y0e^-k(t)
b) Y = 19.4 Unit mass
Step-by-step explanation:
Y = y0e^-k(t)
Where y is amount present at the time
Y0 is initial amount present at t = 0
Y0 = 58.7
Half life = 5 hours
At half life , y = 58.7/2
At half life , y = 29.35
K = decaying constant.
Let's look fithe value of k
Y = y0e^-k(t)
29.35 = 58.7e^-k(5)
29.35/58.7 = e^-k(5)
0.5 = e^-k(5)
In 0.5 = -k(5)
-0.69314718 = -k(5)
0.138629436 = k
The value present in 8 hours will be
Y = y0e^-k(t)
Y = 58.7e-0.138629436(8)
Y = 58.7e-1.109035488
Y = 58.7(0.329876978)
Y= 19.36377861
To the nearest tenth
Y = 19.4 unit of mass
Answer:
30 mm 2
Step-by-step explanation: