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BigorU [14]
3 years ago
10

Find the 70th term of the following arithmetic sequence 4,12,20,28

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0

Answer:

556

Step-by-step explanation:

formula

L = a + (n - 1)*d

Givens

n = 70

a = 4

d = 8

Solution

t = 4 + (70 - 1)*8

t = 4 + 69*8

t = 4 + 552

t = 556

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If y varies inversely as the square of x, and y= 1/8 when x=1, find y when x=5
Nata [24]

y = k / x² ( y varies inversely as the square of x )

y = 1/8 when x = 1:

1/8 = k / 1²

8 k = 1

k = 1/8

For x = 5:

y = 1/8  / 5² = 1/8 : 25 = 1/8 · 1/25 = 1/200

Answer: A ) 1/200

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5 0
3 years ago
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What is the percent of change from 50 to 46?
Dennis_Churaev [7]

Answer:

The answer is -8%

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Step-by-step explanation:

5 0
3 years ago
Kevin and Randy MUISE have a jar containing 51 coins all of which are either quarters or nickels the total value of the coins in
frez [133]

Answer:

Inside the jar there's 16 nickels and 35 quarters.

Step-by-step explanation:

Since there are only nickels and quarters in the jar, the sum of the number of nickels and the number of quarters inside it must be equal to the total number of coins in the jar. So

nickels + quarters = 51

We know the total value inside the jar, to obtain this value we must multiply the amount of each kind of coin by it's value and sum it. So we have:

0.05*nickels + 0.25*quarters = 9.55

We now have two equations and two variables, so we can solve them as follows:

nickels + quarters = 51

0.05*nickels + 0.25*quarters = 9.55

From the first equation:

nickels = 51 - quarters

0.05*(51 - quarters) + 0.25*quarters = 9.55

2.55 - 0.05*quarters + 0.25*quarters = 9.55

0.2*quarters = 9.55 - 2.55

quarters = 7/0.2 = 35

nickels = 51 - 35 = 16

Inside the jar there's 16 nickels and 35 quarters.

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4 years ago
What is the exact value of cot<br> co (3 pie/4)?
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Answer:

cot (3ocπ/4)⠀⠀

6 0
3 years ago
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