Answer: 4096
Step-by-step explanation:
4^9/4^3
4^(9-3)
4^6=4096
Answer: Grade 8
Step-by-step explanation: The bar graph indicates by color which the number of students who liked said food more. Grade 8's bar is higher than every other grade showing us that their grade 8 liked spaghetti the most.
Answer:
x = 30
ABC = 90
ACB = 30
Step-by-step explanation:
We know that if we add the 3 angles of a triangle together, it will come out to be 180 degrees, so..
60 + x + 3x = 180 subtract 60 from both sides and simplify
4x = 120 divide both sides by 4
x = 30
ABC = 3x
ABC = 3(30)
ABC = 90
We have that
[3/2,3/8,3/32,3/128,3/512]
the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]
=(1/512)*[256*3+64*3+16*3+4*3]
=(3/512)*[256+64+16+4]
=(3/512)*[340]
=(1020/512)
=255/128---------> 1.9922
the answer is
1.9922
another way to calculate it
<span>is through the following formula
</span>∑=ao*[(1-r<span>^n)/(1-r)]
</span>
where
ao---------> is the first term
r----------> is the common ratio<span> between terms
n----------> </span><span>is the number of terms
ao=1.5
r=1/4-----> 0.25
n=5
so
</span>∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99