Answer:
an = 80. 2^(n-5)
Step-by-step explanation:
r = a6/a5 =160/80 = 2
an = a5. r^(n-5)
= 80. 2^(n-5)
Answer:
P(Male = 2) = 63.9%
Step-by-step explanation:
40000C2 / 50000C2
[(40000 * 39999) / (1*2)] / [(50000 * 49999 *) / (1*2)]
3,199,920,000 / 4,999,900,000
0.6399996799935999
P(Male = 2) = 63.9%
Answer:
f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.
Step-by-step explanation:
The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.
* if x>1, then x-1>0.
* Also since the parabola opens up, then y>5.
So let's solve y=(x-1)^2+5 for x.
Subtract 5 on both sides:
y-5=(x-1)^2
Take square root of both sides:
Plus/minus sqrt(y-5)=x-1
We want x-1>0:
Sqrt(y-5)=x-1
Add 1 on both sides:
Sqrt(y-5)+1=x
Swap x and y:
Sqrt(x-5)+1=y
x>5
y>1
If you are solving for X then we have to do a few process
What you would want most is to remove the parentheses, so to do that i would use distributive property
3*2x is 6x and 3*3 is 9 so our new equation will look like
6x+9=15 if you don't understand please tell me
now we must bring the 9 over
If you bring the 9 over than it would become negative
6x=15-9
so 6x=6
and now you can solve the answer is x=1
Answer:
∠ 1 = ∠ 3 = 33°
Step-by-step explanation:
∠ 3 and ∠ 6 are same- side interior angles and are supplementary , thus
∠ 3 + ∠ 6 = 180° , that is
∠ 3 + 147° = 180° ( subtract 147° from both sides )
∠ 3 = 33°
∠ 1 and ∠ 3 are vertical angles and congruent, thus
∠ 1 = ∠ 3 = 33°
