Step-by-step explanation:
In the picture.
The answer is <em><u>X = 61°</u></em>
The sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) in our case:
s(n)=3(1-4^n)/(1-4)
s(n)=-(1-4^n)
s(n)=(4^n)-1 and s=1023
(4^n)-1=1023
4^n=1024
n ln4=ln1024
n=(ln1024)/(ln4)
n=5
Answer: 21 cups of shredded carrots.
Step-by-step explanation:
For every 9 cups of shredded carrots they use, they use 6 cups of sugar.
To use one cup of sugar therefore, the number of cups of shredded carrot is:
= 9/6
= 1.5 cups of shredded carrot
For every 1.5 cups of shredded carrot, a cup of sugar is used.
If they were to use 14 cups of sugar, they would therefore use:
= 14 * 1.5 cups of carrot
= 21 cups of shredded carrot
