Answer:
A= 4
B= 4
C= -1
D= 4
E= -1
F= 4
G= -1
Step-by-step explanation:
The expected value equation is the probability of something happening multiplied by the amount of times it happens. In this case you have four equal sized sections, so you have a one in four chance to land in any of these sections. A, B, D, and F represent the four for this one in four chance. C, E, and G represent the amount of points you get when you land on those sections, in this case -1
F(x) = x² + x - 20 = x² + 5x - 4x - 20 = x(x + 5) - 4(x + 5) = (x + 5)(x - 4)
f(x) = 0 ⇔ (x + 5)(x - 4) = 0 ⇔ x + 5 = 0 or x - 4 = 0 ⇒ x = -5 or x = 4
Answer: C. x = -5 and x = 4.
The answer is 28 years
At = A0 * e^(-k * t)
At = 12 g
A0 = 15 g
k = 7.9 × 10^-3 = 0.0079
t = ?
12 = 15 * e^(-0.0079 * t)
12/15 = e^(-0.0079 * t)
0.8 = e^(-0.0079 * t)
Logarithm both sides (because ln(e) = 1:
ln(0.8) = ln(e^(-0.0079 * t))
ln(0.8) = (-0.0079 * t) * ln(e)
-0.223 = -0.0079 * t
t = -0.223 / -0.0079
t = 28.23
t ≈ 28 years
G in bass clef is the answer D!
Answer:
Total cost= $51
Step-by-step explanation:
<u>Giving the following information: </u>
Fixed cost= $5
From 0 to 40,000 gallons= $0.0007 per gallon
From 40,001 to infinity= $0.0009
<u>We need to calculate the total cost for 60,000 gallons:</u>
Total cost= 5 + 40,000*0.0007 + 20,000*0.0009
Total cost= $51
