Answer:
108336,42875
Step-by-step explanation:
given that a standard deck of cards contains 52 cards. The cards have 4 different suits: clubs, diamonds, hearts, and spades. For each suit, there are 13 cards: one for each of the values 2 through 10, jack (J), queen (Q), king (K), and ace (A).
no of cards in poker = 5
a) For having 2 or more aces, we have
(2 aces, 3 non aces) or (3 aces, 2 non aces) or (4 aces, 1 non ace)
No of ways =
b) For having King diamonds, or queen of hearts, or both,
we can have either
(K dice and any four of cards from other 51) Or (q hearts and any four of cards from other 51) - (k dice, q hearts and 3 cards from other 50)
=
Answer:
x should be cut at 2221.5 to minimize the total combined area, and at 5050 to maximize it.
Step-by-step explanation:
Let x be the length of wire that is cut to form a circle within the 5050 wire, so 5050 - x would be the length to form a square.
A circle with perimeter of x would have a radius of x/(2π), and its area would be
A square with perimeter of 5050 - x would have side length of (5050 - x)/4, and its area would be
The total combined area of the square and circles is
To find the maximum and minimum of this, we just take the 1st derivative, and set it to 0
Multiple both sides by 8π and we have
At x = 2221.5:
= 392720 + 500026 = 892746 [/tex]
At x = 0,
At x = 5050,
As 892746 < 1593906 < 2029424, x should be cut at 2221.5 to minimize the total combined area, and at 5050 to maximize it.
The answer is B, as they both add up to 15 feet and 4 inches
Answer:
Step-by-step explanation:
Based on the information provided, you know that the dimensions of the water tank John buys are:
Then, in order to find the expression that represents the volume of the water tank, you need to multiply those dimensions.
You must remember the Product of powers property, which states that:
Therefore, applying this property, you get that the expression that represents the volume of the water tank is: