Answer:
<h2>____</h2><h3>1260 </h3><h2>____</h2>
Since we have to predict, we can use ratios to help us solve this.
12 said yes out of 72 randomly chosen, SO,
if 210 would say yes (goes to play), how many is total??
12 is to 72 AS 210 is to HOW MUCH (let it be x)??
We can setup ratio, cross multiply, and solve for x:
= 12/72= 210/x
= 12x = 210*72
=12x = 15,120
=x = 15,120/12
<h2>=x =1260</h2>
Answer:
n=7
Step-by-step explanation:
(7^2)^4= n^8
We know that a^b^c = a^(b*c)
7^(2*4) = n^8
7^8 = n^8
Since the exponents are the same, the bases must be the same
n=7
Answer:
Step-by-step explanation:
Given the explicit function as
f(n) = 15n+4
The first term of the sequence is at when n= 1
f(1) = 15(1)+4
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 15(2)+4
f(2) = 34
d = 34-19
d = 15
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)15)
S20 = 10(38+19(15))
S20 = 10(38+285)
S20 = 10(323)
S20 = 3230.
Sum of the 20th term is 3230
For the explicit function
f(n) = 4n+15
f(1) = 4(1)+15
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 4(2)+15
f(2) = 23
d = 23-19
d = 4
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)4)
S20 = 10(38+19(4))
S20 = 10(38+76)
S20 = 10(114)
S20 = 1140
Sum of the 20th terms is 1140
The answer is x=K/b + 2/b.
Point distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Substitute
d=√((3-(-3))²+(2-(-1)²)
Simplify
d=√((6)²+(3)²)
d=√(36+9)
d=√(45)
<h2><u><em>
d=3√(5)</em></u></h2>
<u><em></em></u>
-Hunter
