We can use the cosine rule to find the third side:
c² = a² + b² -2abcos(C)
c = √(42² + 35² - 2(42)(35)cos(120)
c = 66.78
The answer is D.
Answer:
Number of bacteria when t = 10 min is 3,000
Step-by-step explanation:
Given:
Number of bacteria in a culture by equation
Q(t) = 2(729^t)
Value of t = 10 min = 10 / 60 = 0.1667 hour
where t is number of hours
Find:
Number of bacteria when t = 0.1667 hour
Computation:
Given equation
Q(t) = 2(729^t)
Put t = 0.1667
Q(10) = 2(729⁰'¹⁶⁶⁷)
We know that;
a⁰ = 1
So,
Q(0.1667) = 2(729⁰)
Q(0.1667) = 3
Number of bacteria when t = 0 is 3,000
We know that the sum is 30
that means that jody's older brother is 3 years less than twice jodys age.
Lets try all the answers
7*2= 14-3=11 Nope
11*2=22-3=19+11=30 YUP!
19*2=35-3=32 Nope
23*2=46-3=43 Nope
Your answer is b
Did you ever get the answer? I have pretty much the same exact one but mine said 150 skaters and I don't know how to answer it.
The answer is <span>a. T(n+1)=1/2n^2+3/2n+1
</span>
T(n) = 1/2n² + 1/2n = 1/2(n² + n)
T(n + 1) = 1/2((n+1)² + (n+1))
(a + b)² = a² + 2ab + b²
(n + 1)² = n² + 2n + 1
T(n + 1) = 1/2(n² + 2n + 1 + n + 1) =
= 1/2(n² + 3n + 2) =
= 1/2n² + 3/2n + 1
