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8090 [49]
1 year ago
8

xYou volunteer to help drive children at a charity event to the​ zoo, but you can fit only 6 of the 16 children present in your

van. How many different groups of 6 children can you​ drive?
Mathematics
1 answer:
brilliants [131]1 year ago
8 0

There are 8008 groups in total, in other to drive the children

<h3>How to determine the number of groups?</h3>

From the question, we have

  • Total number of children, n = 16
  • Numbers to children at once, r = 6

The number of group of children that could be carried at once is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 16 and r = 6

Substitute the known values in the above equation

Total = ¹⁶C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 16!/10!6!

Evaluate

Total = 8008

Hence, the number of groups is 8008

Read more about combination at

brainly.com/question/11732255

#SPJ1

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5 0
3 years ago
Find a12 given the geometric sequence 4, 8, 16, 32, ...
SSSSS [86.1K]

The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)

<h3>How to find a determined element of a geometric sequence by exponential formulae</h3>

Sequences are series of elements generated according to at least one condition, usually equations. <em>geometric</em> sequences are generated according to a <em>exponential</em> formulas, whose form and characteristics are described below:

f(n) = a · bⁿ ⁻ ¹    (1)

Where:

  • a - First element of geometric sequence
  • b - Common ratio of the geometric sequence
  • n - Element index within the geometric sequence

If we know that a = 4, b = 2 and n = 12, then the twelfth element of the geometric sequence from the statement is:

f(12) = 4 · 2¹² ⁻ ¹

f(12) = 4 · 2¹¹

f(12) = 4 · 2,048

f(12) = 4,096

The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)

To learn more on geometric sequences: brainly.com/question/4617980

#SPJ1

6 0
2 years ago
Translate each sentence into a formula
Bas_tet [7]
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This is the formula for finding the perimeter of a rectangle

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The “Quotient” is the answer to a division problem (like how the “sum” is the answer to an addition problem) which is why we know to divide mass and volume

3) Force = mass*acceleration
The “product” is the answer to a multiplication problem which is why we know to multiply mass and acceleration

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The formula used to calculate the area of a square is L^2. The problem tells us that surface area is the sum of all the faces of a 3D shape. Because there are 6 sides on a cube, we multiply L^2 by 6.

Hope this helps!
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Why would it be advantageous to borrow oneself into the sun if you live in an internal zone​
Kipish [7]

Answer:

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Step-by-step explanation:

hope this is what u want

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