9514 1404 393
Answer:
B. √6
Step-by-step explanation:
The circles are not tangent to one another. If they were, the distance between their centers would be the sum of their radii: 1 +1 = 2.
__
The center of the first circle is (√3, √3), and the center of the second is the origin. The distance between these two centers is given by the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((√3 -0)^2 +(√3 -0)^2) = √(3+3) = √6 . . . . matches choice B
You will use the formula to calculate simple interest for each period of time and then subtract the two amounts to find how much Ward will save.
I=prt
I = 20000 x 0.025 x 3
I = $1500 over 3 years
I = 20000 x 0.025 x 5
I = $2500 over 5 years
$2500-$1500 = $1000 in savings
Answer: just use a calculator ._.
Step-by-step explanation:
Answer:
![{52 \choose 7}{45 \choose 7}{38 \choose 7}{31 \choose 7}{7 \choose 2}^4](https://tex.z-dn.net/?f=%7B52%20%5Cchoose%207%7D%7B45%20%5Cchoose%207%7D%7B38%20%5Cchoose%207%7D%7B31%20%5Cchoose%207%7D%7B7%20%5Cchoose%202%7D%5E4)
Step-by-step explanation:
The dealing of the cards can be seen in the following way:
We first have to choose which 7 cards are going to be dealt to the 1st player. So we have to pick 7 cards out of the 52 available cards. This can be done in
ways. Now that we have chosen which 7 cards are going to be dealt to the 1st player, we have to choose which 2 of them are going to be the hidden ones. So we have to pick 2 cards out of the 7 cards to be the hidden ones. This can be done in
ways. At this point we now know which cards are being dealt to the 1st player, and which ones are hidden for him. Then we have to choose which 7 cards to deal to the 2nd player, out of the remaining ones. So we have to pick 7 out of 52-7=45. (since 7 have been already dealt to the 1st player). This can be done in
. Then again, we have to pick which 2 are going to be the hidden cards for this 2nd player. So we have to pick 2 out of the 7. This can be done in
ways. Then we continue with the 3rd player. We have to choose 7 cards out of the remaining ones, which at this point are 52-7-7=38. This can be done in
. And again, we have to choose which ones are the hidden ones, which can be chosen in
ways. Finally, for the last player, we choose 7 out of the remaining cards, which are 52-7-7-7=31. This can be done in
ways. And choosing which ones are the hidden ones for this player can be done in
ways. At the end, we should multiply all our available choices on each step, to get the total choices or total ways to deal the cards to our 4 players (since dealing the cards is a process of several steps with many choices on each step).
![{52 \choose 7}{7 \choose 2}{45 \choose 7}{7 \choose 2}{38 \choose 7}{7 \choose 2}{31 \choose 7}{7 \choose 2}={52 \choose 7}{45 \choose 7}{38 \choose 7}{31 \choose 7}{7 \choose 2}^4](https://tex.z-dn.net/?f=%7B52%20%5Cchoose%207%7D%7B7%20%5Cchoose%202%7D%7B45%20%5Cchoose%207%7D%7B7%20%5Cchoose%202%7D%7B38%20%5Cchoose%207%7D%7B7%20%5Cchoose%202%7D%7B31%20%5Cchoose%207%7D%7B7%20%5Cchoose%202%7D%3D%7B52%20%5Cchoose%207%7D%7B45%20%5Cchoose%207%7D%7B38%20%5Cchoose%207%7D%7B31%20%5Cchoose%207%7D%7B7%20%5Cchoose%202%7D%5E4)
<h2>
Answer:</h2>
(a) 6
(b) 9
<h2>
Step-by-step explanation:</h2>
The units of a whole number is the rightmost digit in the number. For example, if the number is <em>15678</em>, the units is <em>8</em> since that is the rightmost digit. Another example is <em>25795</em>. The units is <em>5.</em>
<em></em>
(a) To find the units of the square of -2346,
<em>i. First find the square of (-2346)</em>
(-2346)² = (-2346) x (-2346) = 5503716
<em>ii. Now find the rightmost digit.</em>
The rightmost digit of 5503716 is 6.
<em>Therefore, the units of the square of (-2346) is </em><em>6</em>
<em />
<em />
(b) To find the units of the square of -5677,
<em>i. First find the square of (-5677)</em>
(-5677)² = (-5677) x (-5677) = 32228329
<em>ii. Now find the rightmost digit.</em>
The rightmost digit of 32228329 is 9.
<em>Therefore, the units of the square of (-5677) is </em><em>9</em>
<em />
<em />
<em />