Answer:
Step-by-step explanation:
<u>Given recursive formula:</u>
- a₁ = -1
- aₙ = - 3aₙ₋₁ + 6 for n ≥ 2
<u>The first 4 terms are:</u>
- a₁ = - 1, given
- a₂ = - 3*(-1) + 6 = 3 + 6 = 9
- a₃ = - 3*(9) + 6 = - 27 + 6 = - 21
- a₄ = - 3*(-21) + 6 = 63 + 6 = 69
<span>The <u>correct answers</u> are:
A ray is a bisector of an angle if and only if it splits the angle into two angles; and
A) I can afford to buy a ticket.
Explanation<span>:
For the first question, the first three answers are very specific and true:
A whole number is odd if it is not divisible by 2, and a number is not divisible by 2 if it is odd;
an angle is straight if its measure is 180 degrees, and the measure of an angle is 180 degrees if it is a straight angle;
a whole number is even if it is divisible by 2, and a number is divisible by 2 if it is even.
However, with the fourth choice, we are missing a key word in the definition. A ray is a bisector of an angle if and only if it splits the angle into two <u>CONGRUENT</u> angles. It is not just a ray that cuts an angle into two pieces, the pieces must be equal.
For the second question, the Law of Detachment says if our conditional "if p, then q" is true and p is true, then q must also be true.
For this question, "I can go to the concert if I can afford to buy a ticket" is true as well as "I can go to the concert." This means "I can afford to buy a ticket" must be true as well.</span></span>
Answer:
Step-by-step explanation:
Let Carlo's age = x
Equation: 6*x = 108
6x = 108
Solution:
6x = 108
x = 108/6
x = 18
Carlo's age = 18 years
Answer
P = 147 million
Step by step explanation
P = Po r^t -------------(1)
Po initial population, r = rate, t = number of years
Here P = 139, Po = 134, t = 10.
Now plug in these values into the formula and find the rate r.
139 = 134r^10
r^10 = 139/134
r = (139/134)^1/10
Now we got r, now plug in the equation (1)
Let's find the population in the year 2014, here t = 24
P = 134 (139/134)^(24/10)
P = 134(139/134)^(2.4)
P = 134*1.1
P = 147.4
P = 147 million
The country's population in 2014 is 147 million (estimation).
Thank you.
Answer:
Solution given;
diameter[d]=12
we
have
circumference of circle=πd=12π
<u>1</u><u>2</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>
