Answer:
16
Step-by-step explanation:
<u>Remember that
</u>
(-2i)(8i)
![-16i^2](https://tex.z-dn.net/?f=-16i%5E2)
![-16(-1)](https://tex.z-dn.net/?f=-16%28-1%29)
16
Answer: 0.6 grams
Step-by-step explanation: It's important to understand that <em>mg</em> is the abbreviation for milligrams and <em>g</em> is the abbreviation for grams.
To convert 600 milligrams into grams, we first first find the conversion factor for milligrams and grams which is 1,000 milligrams = 1 gram.
Next, notice that we're going from a smaller unit, milligrams, to a larger unit, grams and when we go from a smaller unit to a larger unit we divide by the conversion factor.
So we have 600 mg ÷ 1,000.
When dividing by a power of ten, we can simply count the number of zeroes in the power of ten and move the decimal point that many places to the left in order to find the answer.
Since there are three zeros in 1,000, we move the decimal point in 600 three places to the left to get .6 or 0.6. Notice that you can drop any zeroes at the end of a decimal.
So 600 milligrams is equal to 0.6 grams.
Answer:
id say 10 but im dumn if get wrong do not star me 5 only one star
Step-by-step explanation:
The equation for a circle is given by:
![\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \text{where:} \\ \text{center}=(h,k) \\ r=\text{radius}=\frac{d}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2%20%5C%5C%20%5Ctext%7Bwhere%3A%7D%20%5C%5C%20%5Ctext%7Bcenter%7D%3D%28h%2Ck%29%20%5C%5C%20r%3D%5Ctext%7Bradius%7D%3D%5Cfrac%7Bd%7D%7B2%7D%20%5Cend%7Bgathered%7D)
so:
![\begin{gathered} d=8 \\ r=\frac{8}{2}=4 \\ C(h,k)=(1,-3) \\ (x-1)^2+(y+3)^2=16 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20d%3D8%20%5C%5C%20r%3D%5Cfrac%7B8%7D%7B2%7D%3D4%20%5C%5C%20C%28h%2Ck%29%3D%281%2C-3%29%20%5C%5C%20%28x-1%29%5E2%2B%28y%2B3%29%5E2%3D16%20%5Cend%7Bgathered%7D)
The point which lies on the circle will be the one which satisfies the equation, hence:
Answer:
Box X
Step-by-step explanation:
In order to find which box holds the most material, you have to find the volume of each box.
The formula for volume of a prism (or box) is [area of the base] * height. So, you can solve the problem as follows:
Step 1) Find the area of the base for box X (7 * 3). You can use any side as your base, as long as the opposite side of the shape is congruent (which in this case, it is)
Step 2) Multiply the area of your base (21) times the distance between the opposite congruent side (6). (21 * 6) = 126
Step 3) By repeating this process with box Y, you will find that the volume of box Y (10*11) = 110, which is less than the volume of box X.
Since the volume of box X is greater than that of box Y, box X can hold more material.