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algol13
2 years ago
9

Which expression represents the value of the series below? 3+ 7 + 11 + 15 + ... + 1,671

Mathematics
1 answer:
torisob [31]2 years ago
4 0

Answer:

Step-by-step explanation:

This is an Arithmetic Series with common difference 4 and first term 3

so the nth term an = 3 + (n -1)4

= 4n - 1.

The sum of n terms

= n/2 (a1 + L)

= n/2(3 + 1671)

=  837n.

There are (1671-3) / 4 + 1 = 418 terms in the series,

so the total value of the series is 837*418

= 349,866.

.

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A pizza chain wants to send codes for $2 off a large pizza to the subscribers of its e-mail list. Each coupon code will have thr
kati45 [8]

Answer:

438,012 ways.

Step-by-step explanation:

We have been given that each coupon code will have three letters followed by two digits. The letters M, N, and O and the digits 1, 3, 5, and 7 will not be used. So, there are 23 letters and 6 digits that will be used.

Since the letters and digits can be repeated, so we will use fundamental principal of counting.

For first place, we can use 23 letters, for 2nd and 3rd place we can use 23 letters.

We can use 6 digits for 1st digit place and 6 digit for 2nd digit place as repetition is allowed.

So we can choose coupon code is following ways:

23\cdot 23\cdot 23\cdot 6\cdot 6=438012

Therefore, we can choose coupon codes in 438,012 ways.

3 0
3 years ago
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Zinaida [17]

Answer:

Step-by-step explanation:

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3 0
3 years ago
Help can't figure this problem out
Darya [45]
(x^1/2 y^-2/3)^-6
= x^(1/2*-6) y^[(-2/3) *(-6)]
= x^-3 y ^4
= y^4 / x^3

answer is D.  y^4 / x^3  
8 0
3 years ago
Help find y .. slope is m=-5/8
goblinko [34]

y = 8

using the ' gradient formula' m = (y₂ - y₁)/(x₂ - x₁)

with (x₁, y₁) = (3, 3), (x₂, y₂) = (- 5, y) and m = - \frac{5}{8}

(y - 3)/( - 5 - 3) = - \frac{5}{8}

(y - 3)/(-8) = - \frac{5}{8}

multiply both sides by - 8 to eliminate fractions

y - 3 = 5

add 3 to both sides

y = 5 + 3 =8


5 0
3 years ago
Write 504 as a product of primes. Use index notation when giving your answer.
Sergio039 [100]

Prime Factors of 504: 2, 3, 7

23 × 32 × 71 where 2, 3, 7 are prime.

7 0
2 years ago
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