It depends on the number of the different colored marbles. if there are more black marbles, then there is a greater possibility of choosing that color.
Answer: 682
Also, each rectangle’s width is half its height. It can be expressed as
w= 1/2h<span>
The first rectangle is 32cm tall. Then the measurement would be
h=32
w= 1/2h= 16
</span>The first rectangle is 32cm tall and e<span>ach rectangle is half as tall as the previous one. That can be expressed as
h(n)= 32(1/2)^n-1
The area of rectangle is
area(n)= h*w
area(n)=h*</span> (1/2h)= 1/2h ^2
area(n)= 1/2 {32(1/2)^n-1}^2<span>
area(n)= 512(1/2)^2n-2
Then the sum of the 5 rectangle would be:
</span>area(1) + area(2) + area(3) + area(4)+ area(5)
512(1/2)^2(1)-2 + 512(1/2)^2(2)-2 + 512(1/2)^2(3)-2 + 512(1/2)^2(4)-2 +512(1/2)^2(5)-2 =
512+ 512/4 + 512/16+ 512/ 64 + 512/ 256=
512+ 128 + 32+ 8 + 2= 682
Answer:
Step-by-step explanation:
<u>Given infinite geometric series</u>
- 1/4, 1/5, 4/25, 16/125, ...
<u>We see that</u>
<u>Sum of the series</u>
- S = a*1/(1 -r)
- S = 1/4*1/(1 - 4/5) = 1/4*1/(1/5) = 1/4*5 = 5/4
Answer:
- the y-intercept is (0,5)
- the slope is 2/3
Step-by-step explanation:
C=2πr=π/2
2πr=π/2
4πr=π
r=π/4π=1/4
A=πr^2=(1/4)^2*π=1/16*π
