Answer:
A
Step-by-step explanation:
using the rule : 
= 
+ 7
sequence A with a₁ = 11
a₂ = a₁ + 7 = 11 + 7 = 18
a₃ = a₂ + 7 = 18 + 7 = 25
a₄ = a₃ + 7 = 25 + 7 = 32
sequence A is generated using the rule
sequence B with a₁ = 17
a₂ = a₁ + 7 = 17 + 7 = 24
a₃ = a₂ + 7 = 24 + 7 = 31
a₄ = a₃ + 7 = 31 + 7 = 38
sequence B is not generated using the rule
sequence C with a₁ = - 15
a₂ = - 15 + 7 = - 8
a₃ = a₂ + 7 = - 8 + 7 = - 1
a₄ = a₃ + 7 = - 1 + 7 = 6
sequence C is not generated using the rule
sequence D with a₁ = - 9
a₂ = a₁ + 7 = - 9 + 7 = - 2
a₃ = a₂ + 7 = - 2 + 7 = 5
a₄ = a₃ + 7 = 5 + 7 = 12
sequence D is not generated using the rule
Answer: x = 5
Step-by-step explanation:
1. Set the two given expressions equal to each other (because the problem says they are interchangeable)
-5x = -40+3x
2. Subtract 3x from -5x to have x on one side of the equation.
-8x = -40
3. Divide each side by -8 to get the value of x.
x = 5
Answer:
<u>The correct answer is B. 3/10.</u>
Step-by-step explanation:
1. Let's calculate the probability of spinning an odd number:
We can spin an odd number (1, 3 or 5) out of 5 events, it means that the probability of spinning an odd number is:
3/5
2. Let's calculate the probability of getting tails on the coin:
We can toss a coin and get tails one out of 2 events, it means that the probability of getting tails on the coin is:
1/2
3. These are independent events because the fact that we spin an odd number does not affect the probability of getting tails on the coin, thus:
Probability of spinning an odd number and getting tails on the coin =
3/5 * 1/2 = 3/10
<u>The correct answer is B. 3/10</u>
For this case we have a function of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
y = 200 * (1.10) ^ (t)
For 3 years we have:
y = 200 * (1.10) ^ (3)
y = 266.2
Rounding off we have:
y = 266
Answer:
there will be 266 squirrels in the population after 3 years
