Answer:
5. The answer is 2
6. Her error is that she was supposed to subtract 16 minus 12 instead of 12 minus 2.
Step-by-step explanation:
For number 5 all I did was solve.
12 + (25 - 5^2) - 2 =
12 + 0 - 2 =
12 - 2 = 10
10 ÷ 5 = 2
So, for number 5 the answer is 2.
For number 6, you should know that when there are only plus and minus signs you solve from left to right.
She instead put parentheses where there shouldn't of been, and because of that she is wrong.
Hope this helps! :)
4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.
Start with
Taken mod 4, the last two terms vanish and we're left with
We have 
, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.
Taken mod 7, the first and last terms vanish and we're left with
which is what we want, so no adjustments needed here.
Taken mod 9, the first two terms vanish and we're left with
so we don't need to make any adjustments here, and we end up with 
.
By the Chinese remainder theorem, we find that any 
such that
is a solution to this system, i.e. 
for any integer 
, the smallest and positive of which is 149.
Answer is D.
When you have an exponent that is a fraction, the denominator is the number you root the base by. In this case the exponent is 3/5, so you fifth root 13 cubed.
The correct answer is: <span>C) The base of the cone and the top of the cylinder have the same area. </span>The cone has the smallest volume of the 2 figures. This is because the formula for the cylinder is b x h, the formula for the cone is 1/3(b x h) so if they have same height and base area cylinder would have larger volume because, for the cylinder, a formula is one-third of b x h. Hope I helped!! : )
hope this helps you
