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vazorg [7]
3 years ago
10

N x 3/8 = 1 What is N?

Mathematics
1 answer:
Dominik [7]3 years ago
7 0

Answer:

N=\frac{8}{3}

Step-by-step explanation:

The image below shows step-by-step on how to solve it.

Hope this helps! :)

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27
oee [108]

Answer: (assuming the first three terms are -6, -2, 2)

(a) f(n) = 4n - 10

(b) 30

Step-by-step explanation:

(So, just as a preface, I made this answer assuming the first three terms are -6, -2, and 2 since I couldn't find a provided fourth term as the problem said)

(a) In order to create an equation for an arithmetic sequence, you need to find the common difference(d) and the 0th term. You can find the common difference by finding the difference between two consecutive terms:

2 - (-2) = 4 (or (-2) - (-6) = 4), so d = 4

Now, you need to find the 0th term. To do this, you can just subtract the d from the first term, -6:

-6 - 4 = -10.

At this point, you can write the equation:

f(n) = -10 + 4n (this is the 0th term plus the common difference, 4, times the nth term)

f(n) = 4n - 10 (reorganize by value of exponents)

(b) In order to find the 10th term, you just need to plug it into the previous equation:

where n = 10, and f(n) = 4n - 10,

f(n) = 4(10) - 10 (substitute n into the equation)

f(n) = 40 - 10 (multiply the term in the parenthesis by the constant)

f(n) = 30 (subtract)

8 0
3 years ago
There are 50 runners in a race. How many ways can the runners finish first, second, and third?
Dmitrij [34]

Number of ways can the runners finish first, second, and third is 1,17,600 .

<u>Step-by-step explanation:</u>

Permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, written as tuples, there are six permutations of the set {1,2,3}, namely: (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). Formula of Permutation is : P(n,r) = \frac{n!}{(n-r)!} where n is the number of things to choose from,  and we choose r of them,  no repetitions,  order matters. Here , n = 50 , r= 3

⇒ P(n,r) = \frac{n!}{(n-r)!}

⇒ P(50,3) = \frac{50!}{(50-3)!} = \frac{50(49)(48)47!}{47!}

⇒ P(50,3) = 50(49)(48)

⇒ P(50,3) = 1,17,600

∴ Number of ways can the runners finish first, second, and third is 1,17,600 .

8 0
3 years ago
Find the length of AC. Express your answer in terms of pi. <br> Answer options: 5, 30, 45, 15.
Nitella [24]

Answer:

The correct answer is 3πcm

Step-by-step explanation:

The length of an arc is calculated using the formula P=∅/360×2πr

where ∅is the angle the arc subtends at the center of the circle, and r is the radius of the circle of which the arc is part.

2r gives the diameter which from the diagram corresponds to AB=36 cm

therefore P=30/360×π×36

=3πcm

6 0
3 years ago
Read 2 more answers
Write (9 + 6i) − (1 + 3i) as a complex number in standard form.
777dan777 [17]

Answer:

8 +3i

Step-by-step explanation:

(9 + 6i) − (1 + 3i)

Distribute the minus sign

(9 + 6i) − 1 - 3i

Combine like terms

9-1 + 6i -3i

8 +3i

6 0
3 years ago
The length of a rectangle is represented by the polynomial 2x^3-5x^2+8 and the width is represented by the polynomial x+3 . Find
kozerog [31]
X^2+8x+15 is the area

because x+5 = length
and x +3 = width

(x+5)(x+3) =
x^2+3x+5x+15 =
x^2+8x+15 (area)
3 0
3 years ago
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