If you would like to know what is the value of 54 - 4 * a^2 + 3 * b^3 when a = -2 and b = 4, you can calculate this using the following steps:
54 - 4 * a^2 + 3 * b^3 = 54 - 4 * (-2)^2 + 3 * 4^3 = 54 - 4 * 4 + 3 * 64 = 54 - 16 + 192 = 230
If you would like to know what is the value of 54 - 4 * a^2 - 3 * b^3 when a = -2 and b = 4, you can calculate this using the following steps:
54 - 4 * a^2 - 3 * b^3 = 54 - 4 * (-2)^2 - 3 * 4^3 = 54 - 4 * 4 - 3 * 64 = 54 - 16 - 192 = -154
<h3>
Answer: 0.00174</h3>
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Explanation:
There are 4 ways to select 3 aces where order doesn't matter. It's basically the same as saying there are 4 ways to leave out one ace.
Then we have 2 slots left to fill. There are (48*47)/2 = 1128 ways to do this where order doesn't matter. The 48 is from the fact there are 52-4 = 48 cards that aren't aces. We step down to 47 after picking the first non-ace card. The 2 in the denominator is to correct for double counting.
We found there were 4 ways to pick the three aces, and 1128 ways to pick the other two non-ace cards. Overall, there are 4*1128 = 4512 ways to pick all five cards where we have exactly 3 aces.
This is out of 52C5 = 2,598,960 ways to select any five cards from a 52 card deck. I'm using the nCr formula which is
Use n = 52 and r = 5 to get the value mentioned. The exclamation marks indicate factorial.
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To recap, there are
- 4512 ways to pick exactly three aces
- 2,598,960 ways to pick five cards without any restrictions
Dividing the two values gets us the final answer
4512/(2,598,960) = 0.001736079047
This value rounds to 0.00174
Answer:
A solid with surface area 216 square meters and volume 324 cubic meters is dilated by a scale factor of k to obtain a solid with surface area 24 square meters. Find the value of k which leads to an image with the given surface area. Find the volume of the dilated solid.
Answer:
d=14
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
so the answer is d=14