Answer:
66 + 1 ( not fully shaded ) squares will be shaded.
66.67% region will be shaded
Step-by-step explanation:
It is given that Marks uses a grid to model percent equivalent of 
.
Let us assume that Mark uses a model containing 100 grids.
Now, as the grids are divided into region equivalent to i.e. it is divided into 3 parts.
Moreover, 2 out of those 3 parts will be shaded.
As, 
i.e. =66.67%
So, it gives us that 66 squares in the grid will be fully shaded and one will not be fully shaded.
Hence, 66 + 1 ( not fully shaded ) squares will be shaded and in percent, 66.67% of the region will be shaded.
A.
If:
j - the price of a glass of juice
p - the price of a pancake special
Then:
3j + 5p = 7.60
j + 2p = 2.90
b.
If:
j + 2p = 2.90
Then:
j = 2.90 - 2p
We can substite j in the first equation.
<span>If:
3j + 5p = 7.60
</span><span>j = 2.90 - 2p
</span>Then:
3×(2.90-2p) + 5p = 7.60
8.70 - 6p + 5p = 7.60
8.70 - p = 7.60
⇒ p = 8.70 - 7.60
⇒ p = 1.10
If:
<span>j = 2.90 - 2p
</span><span>p = 1.10
</span>Then:
j = 2.90 - 2×1.10
j = 2.90 - 2.20
j = 0.70
Thus, the price of a glass of juice is $0.70 and <span>the price of a pancake special is $1.10.
c.
If:
p = 1.10
j = 0.70
Then:
j + p = 1.10 + 0.70 = 1.80
Thus, </span><span>the bill for 1 glass of orange juice and 1 pancake special is $1.80.</span>
So, f[x] = 1/4x^2 - 1/2Ln(x)
<span>thus f'[x] = 1/4*2x - 1/2*(1/x) = x/2 - 1/2x </span>
<span>thus f'[x]^2 = (x^2)/4 - 2*(x/2)*(1/2x) + 1/(4x^2) = (x^2)/4 - 1/2 + 1/(4x^2) </span>
<span>thus f'[x]^2 + 1 = (x^2)/4 + 1/2 + 1/(4x^2) = (x/2 + 1/2x)^2 </span>
<span>thus Sqrt[...] = (x/2 + 1/2x) </span>
Angles 4 and 5 are Alternate Interior Angles because they are on opposite sides of the traversal line and on the inside sides between the parallel lines.
Answer:
2a^4 / b^5
Step-by-step explanation:
(2a^2 / b) x ( a / b^2) ^2
= (2a^2 / b) x (a^2 / b^4)
= 2a^4 / b^5
(p.s if you are not gonna do it don't say "no thanks" and leech off this poor man's points)
