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Otrada [13]
3 years ago
12

How do I calculate the arc length of y = x^3/6 + 4x^2

Mathematics
1 answer:
Allushta [10]3 years ago
6 0
The formula for arc length is...

arc length = radius • central angle
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seven different gifts are to be distributed among 10 children. How many distinct results are possible if no child is to receive
Alik [6]

Answer:

120 distinct results are possible if no child is to receive more than one gifts.

Step-by-step explanation:

When the order is not important, we use the combination formula:

C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.

In this problem, we have that:

Combinations of 7 from a set of 10 elements. So

C_{n,x} = \frac{n!}{x!(n-x)!}

C_{10,7} = \frac{10!}{7!(3)!} = 120

120 distinct results are possible if no child is to receive more than one gifts.

6 0
3 years ago
Find the number of turns or bumps in the graph of the function f(x) = x² - 25
Papessa [141]

Answer:

1 turn

Step-by-step explanation:

this is what the graph would look like:

4 0
2 years ago
Karen has 216 role-playing game cards. His goal is to collect all 15 sets of cards. There are 72 cards in a set. How many cards
Nimfa-mama [501]
He needs 864 more cards
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What is the surface area of a sphere with the given dimension? Express your answer to nearest hundredth. Use 3.14 for pi. Radius
pav-90 [236]
Okay. The equation for a sphere's surface area is A = 4 * pi * r^2. Let's plug 5 in for r. 
4 \pi (5^2) = 4(3.14)*25 = 100 * 3.14 = 314
I got 314 cm^2 is the surface area, but it always helps to double check work! Hope this helps!
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3 years ago
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