Answer:
1/2
Step-by-step explanation:
The factors of 8 are 1,2,4
So there are three factors of 8 on the dice
There are a total of 6 numbers on the dice
So the probability is ,3/6
Which in its simplest form is 1/2
Answer:
C) 18
Step-by-step explanation:
4st - 2t
4(2)(3) - 2(3)
24 - 6
18
General formula for n-th term of arithmetical progression is
a(n)=a(1)+d(n-1).
For 3d term we have
a(3)=a(1) +d(3-1), where a(3)=7
7=a(1)+2d
For 7th term we have
a(7)=a(1) +d(7-1)
a(7)=a(1) + 6d
Also, we have that the <span>seventh term is 2 more than 3 times the third term,
a(7)=3*a(3)+2= 3*7+2=21+2=23
So we have, </span>a(7)=a(1) + 6d and a(7)=23. We can write
23=a(1) + 6d.
Now we can write a system of equations
23=a(1) + 6d
<span> - (7=a(1)+2d)
</span>16 = 4d
d=4,
7=a(1)+2d
7=a(1)+2*4
a(1)=7-8=-1
a(1)= - 1
First term a(1)=-1, common difference d=4.
Sum of the 20 first terms is
S=20 * (a(1)+a(20))/2
a(1)=-1
a(n)=a(1)+d(n-1)
a(20) = -1+4(20-1)=-1+4*19=75
S=20 * (-1+75)/2=74*10=740
Sum of 20 first terms is 740.
Answer:
3x + 4y = -36
y = 2x - 9
3x + 4(2x - 9) = -36
3x + 8x - 36 = -36
11x - 36 = -36
11x = 0
x = 0
y = 2(0) - 9
y= 0-9
y = -9
(0, -9) is the answer
Step-by-step explanation:
Answer:
D. 8
Step-by-step explanation:
32^(3/5) is the same as ![\sqrt[5]{32}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B32%7D)
^3.
= 2 because 2^5=32
2^3 = 8
