Question 1
It won't be completely simplified, because 8 can be factored further, so I would say the answer is "no"
A much better factorization would be
sqrt(72) = sqrt(36*2)
since 36 is the largest perfect square factor of 72
If you're curious how it simplifies, then it would do so like this
sqrt(72) = sqrt(36*2)
sqrt(72) = sqrt(36)*sqrt(2)
sqrt(72) = 6*sqrt(2)
Note: "sqrt" is shorthand for "square root"
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Question 2
For monomials like this, we simply cut the exponent in half, or we divide by 2.
28/2 = 14
Therefore, sqrt(x^28) = x^14
The given expression simplifies to x^14
I am going off the assumption that by "She used a cup of sugar" you mean that she used 1 cup of sugar. Since the model shows that her first step starts with 1.5, that means that she loses 1 cup, and moves 1 unit to the left. She is left with 0.5 cups of sugar.
B. She only moves 1 unit to the left.
Answer:
11.8 % empty
Step-by-step explanation:
volume of cylinder : pi × r² × h
attention ! the question gives us diameter, so for radius we need to cut them in half.
Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³
Vb = pi × (10/2)² × 20 = pi×25×20 = 1570.79633... ft³
after filling B with everything in A there is still some empty volume in B
Vb empty = Vb - Va = 185.35397... ft³
so,
100% Vb = 1570.79633... ft³
1% Vb = 15.7079633... ft³
so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?
185.35397... / 15.7079633... = 11.8%
Answer:
40percent of 755$
40/100 × 755
=302$
therefore selling proce is 302$
