Answer:
= 6.75 × 10^8
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Let x be the number of capsules on the Singapore Flyer.
Each capsule can carry x passengers.
Therefore x^2 = 784.
x = 28
Answer:
8 days
Step-by-step explanation:
On day 8, Isabella will save 256 nickels, bringing her total to 510.
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The number of nickels saved on day n is 2^n. The total is 2^(n+1)-2.
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The above can be written down from your knowledge of binary sequences. If you want a more formal development, read on.
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The number of nickels saved on day n is a geometric sequence with first term 2 and common ratio 2. The n-th term of the sequence is ...
an = a1·r^(n-1) = 2·2^(n-1) = 2^n
The sum of n terms of the sequence is ...
S = a1(r^n -1)/(r -1) = 2(2^n -1)/(2-1)
S = 2^(n+1) -2
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We want S > 500, so ...
500 < 2^(n+1) -2
502 < 2^(n+1)
251 < 2^n
log(251) < n·log(2)
n > log(251)/log(2)
n > 7.97 . . . . . . . . 8 days or more to save more than 500 nickels
Answer:
g(x) = 1/4 f(x)
Step-by-step explanation:
(x,y) -> (x , 1/4 y) .. vertical compression
Answer: The total number of pizzas that can be made from the given choices is 24.
Step-by-step explanation: Given that a pizza parlor offers 3 sizes of pizzas, 2 types of crust, and one of 4 different toppings.
We are to find the number of different pizzas that can be made from the given choices.
We have the <em><u>COUNTING PRINCIPLE :</u></em>
If we have m ways of doing one task and n ways of doing the second task, then the number of ways in which we can do both the tasks together is m×n.
Therefore, the number of different pizzas that can be made from the given choices is
Thus, the total number of pizzas that can be made from the given choices is 24.
