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Advocard [28]
3 years ago
12

Given the sequence: 8, 11, 14, 17,…, determine the 84th term and the sum of the first 59 terms.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0
It can be seen that the difference or subtraction between two successive terms of the sequence is always equal to 3.

 11-8 = 3.
 14-11 = 3.
 This means that the following term is always equal to the previous term plus three.
 Knowing this you can draw a formula or "rule" for succession.
 Assuming that the term 0 or X0 of the sequence is 8, then:
 
 X (n) = 8 + 3n.
 So, the term 84 is:
 X (84) = 5 + 3 * (84).
 X (84) = 260.
 The series would be:
 ∑  8 + 3x. from x=0 to x=59
 The result of that sum is: 5790
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Which equation is equivalent to the equation 5X+30=45?
nika2105 [10]

Answer:

its probably 45-30=5x

6 0
3 years ago
13. If the following fractions were converted to decimals, which one would result in a repeating decimal? A. 3/4 B. 1/9 C. 5/11
Vladimir [108]
Hey there!

In order to find if a fraction would result in a repeating decimal, recall that a fraction is a division problem written vertically. All that you have to do is divide the numerator by the denominator. Also, remember that a repeating decimal will result in the same number after the decimal point as long as the calculator can handle. 

3 ÷ 4 = 0.75

1 ÷ 9 = 0.11111111...

5 ÷ 11 = 0.45454545...

3 ÷ 0.42857143...

As you can see, two out of your four answer choices give you a repeating decimal. B gives you a repeated number of "1" while C gives you "45". D doesn't count since there is no pattern of repeated numbers that it follows. 

Both B and C fall into the category of repeating decimal. If you're only able to choose one answer, I would ask your teacher, a parent, or a peer what they think. 

Hope this helped you out! :-)
5 0
3 years ago
What does x need to be for this to be true?
ludmilkaskok [199]
×=1 because 1×3=3 ok
7 0
3 years ago
Convert this rational number
Olegator [25]

Answer:

0.25

Step-by-step explanation:

1 divided by 4 = 0.25

8 0
3 years ago
Find the minimum cost of producing 50,000 units of a product, where x is the number of units of labor (at $36 per unit) and y is
erastovalidia [21]

Answer:

Step-by-step explanation:

Given problem: C(x,y) = 36x + 48y

constraint: 100x^0.6y^0.4

Using langrange Multiplier,

36 = 0.6(100)x^-0.4y^0.4λ         i

48 = 0.4(100)x^0.6y^-0.6λ         ii

dividing the equations we have:

x = 2y

substituting into the constraint

p(x,y) = 100 *(2y)^0.6 y^0.4 = 100*2^0.6 *y

5000  = 151.572y

y = 329.876 labor units

x = 659.752 capital units

Minimum cost = 36(659.752) +48(329.876) = $39585.12

6 0
3 years ago
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