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finlep [7]
3 years ago
6

Explicit formula for an the nth term of the sequence 38,48,58

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer:

10n + 28

Step-by-step explanation:

a + d (n-1)

a = 38

d = 10

38 + 10 (n-1)

38 + 10n -10

10n +38 - 10

10n + 28

Hope this helps!

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In a chess variant, a "lord" can move one space at a time, either upward, or to the right, or diagonally up and to the right. ho
valentina_108 [34]

There are 48639 ways for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard

<h3>Further explanation</h3>

The probability of an event is defined as the possibility of an event occurring against sample space.

\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }

<h2>Permutation ( Arrangement )</h2>

Permutation is the number of ways to arrange objects.

\large {\boxed {^nP_r = \frac{n!}{(n - r)!} } }

<h2>Combination ( Selection )</h2>

Combination is the number of ways to select objects.

\large {\boxed {^nC_r = \frac{n!}{r! (n - r)!} } }

Let us tackle the problem.

This problem is similar to Pascal Triangle.

The Lord can move to the right or up in one way only.

We can put "1" in each box on the bottom and left to represent 1 possible movement.

To get the possibility of movement to another box, we will add the possibility of movement to the left, right, and diagonal squares as shown in Figure 1.

This process is repeated for the next box as shown in Figure 2.

Finally, after this process is repeated until the top right box, we get the results as shown in Figure 3.

There are 48639 ways for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard.

<h3>Learn more</h3>
  • Different Birthdays : brainly.com/question/7567074
  • Dependent or Independent Events : brainly.com/question/12029535
  • Mutually exclusive : brainly.com/question/3464581

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

7 0
3 years ago
Please help! What is 9.6=1/2b show work please!
o-na [289]

Answer:

b = 19.2

Step-by-step explanation:

9.6 = ½b

=> 9.6 × (2/1) = b

=> 9.6 × 2 = b

=> 19.2 = b

8 0
2 years ago
I WILL GIVE BRAINLIEST IF TWO PEOPLE ANSWER! PLEASE PUT WHAT X IS, AND PLEASE PUT THE REASONS OF HOW YOU DID IT, FOR INSTANCE, S
larisa86 [58]

Answer:

14°

Step-by-step explanation:

4x + 32 + 64 = 180 => x = 14 (°)

3 0
2 years ago
What is the volume of the cone below?
Elden [556K]

Answer:

V = 3408 pi  unit^3

Step-by-step explanation:

Volume  of a cone is given by

V = 1/3 pi r^2 h

We know the radius is 12 and the height is 71

V = 1/3 * pi * (12)^2 *71

V = 1/3 * pi * 144 *71

V = 3408 pi  unit^3

7 0
3 years ago
Read 2 more answers
What is the simplest form of 180/200​
denis23 [38]
9/10is the simplest form
180/200 first we need to cancel only one zero
Then divide it by 2
3 0
2 years ago
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