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3 years ago

Find the sequence 3n-1

Mathematics

1 answer:

aivan3 [116]3 years ago

6 0

a(1) = 3(1)-1 = 3-1 = 2

a(2) = 3(2)-1 = 6-1 = 5

a(3) = 3(3)-1 = 9-1 = 8

So, the sequence would be 2,5,8,11....

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A wooden flooring strip is 20 1/2 inches long. If you cut off 4 3/4 inches from one end what will be the new length of the strip

KonstantinChe [14]

Length of wooden flooring strip = $20\frac{1}{2}$ or $\frac{41}{2}$

Length of strip cut off = $4\frac{3}{4}$ or $\frac{19}{4}$

So, the new length of the strip will be=

$\frac{41}{2}- \frac{19}{4}$

= $\frac{82-19}{4}=\frac{63}{4}$

Hence, the new length of the flooring strip will be $\frac{63}{4}$ inches and in mixed fraction it will be $15\frac{3}{4}$ inches.

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3 years ago

If the sin 90 degrees is 1, then the cos___degrees=___

Leona [35]

If sin(90°) = 1, then cos(90°-90°) = cos(0°) = 1

8 0

2 years ago

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Which of the following characteristics of experiments are also characteristics of surveys? Check all that apply.

Licemer1 [7]

Answer: The best answers are :

A Data are gathered during the course of the study

E. Statistical analysis is applied to the results of the study
D. Replication with different groups of subjects can improve the reliability of the study.

Step-by-step explanation:

I hope it helps :)

7 0

2 years ago

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Please help me in questions 15 and 21 with their inequalities and graph

aleksklad [387]

Answer:

x >= 7 OR x < -8

n <= -3 AND n > -6

Step-by-step explanation:

15) 7x - 6 >= 43 OR 10x + 4 < -76

7x >= 43 + 6 OR 10x < -76 - 4

7x >= 49 OR 10x < -80

x >= 7 OR x < -8

you can draw based on this

for >= it is full dot for < it is like circle on the graph

you have to draw both x>= 7 , x < -8 on the same line because it is OR

so both ranges of x are possible

21) 3 + 2n <= -3 AND 1 - 3n < 19

2n <= -3 -3 AND -3n < 19 - 1

2n <= -6 AND -3n < 18

n <= -3 AND 3n > -18

n <= -3 AND n > -6

so it lies between -6 and -3

u can refer pictures below

8 0

2 years ago

Joe buys groceries for his grandfather the groceries cost $42 plus 5% tax joe wants to know the total cost of the groceries incl

vekshin1

<h3>Answer: $44.10</h3>

====================================================

Work Shown:

5% = 5/100 = 0.05

5% of 42 = 0.05*42 = 2.10

tax = $2.10

total cost including tax = $42 + $2.10 = $44.10

----------

An alternative is to multiply 42 by 1.05 to get

1.05*42 = 44.10

We get the same answer. The 1.05 refers to 1 + 0.05 where the "1" is 100% and the 0.05 is 5%, so the two combine to 105%, meaning the total cost is 105% of the cost before tax is considered.

7 0

3 years ago