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3 years ago

Find the 76th term on the arithmetic sequence 4, 7, 10, 13

Mathematics

1 answer:

sveta [45]3 years ago

7 0

Answer:

229

Step-by-step explanation:

1) the difference of the sequence is:

d=7-4=10-7=13-10=3.

2) the common view of the formula of the n term is:

a(n)=a(1)+d*(n-1), where n - required number of the term (it is 76), d- the calculated difference, a(1) - the 1st term of the given sequence.

3) according to the formula above it is possible to substitute n=76, d=3 and 4, then:

a(76)=4+3*(76-1)=4+225=229.

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A person selecting a bank might consider how easy it is to reach the bank from work. True False

babymother [125]

True, it makes sense in my head

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2 years ago

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Mary purchases four book online. The book were the same price each, and the shipping fee was $7.25. If the total cost was $55.25

Sonja [21]

Answer:

The price per book that Mary purchased is $12

Step-by-step explanation:

Mary's total cost can be expressed as;

C=(p×n)+s

where;

C=total cost

p=price per unit of books

n=number of books purchased

s=shipping fee

In our case;

C=$55.25

p=unknown

n=4

s=$7.25

replacing;

55.25=(4×p)+7.25

4 p+7.25=55.25

4 p=55.25-7.25

4 p=48

p=48/4

p=12

The price per book that Mary purchased is $12

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3 years ago

Global mean temperature was changing the most rapidly in 2005. How quickly was the temperature changing in 2005

AysviL [449]

The temperature was changing at a rate of 2.925 degrees Celsius in 2005

<h3>How to determine the rate in 2005</h3>

From the graph (see attachment), we have the following ordered pair

(x,y) = (5,14.625)

The above means that, the temperature in 2005 is 14.625 degrees Celsius

So, the rate in 2005 is:

$Rate = \frac{14.625}{5}$

$Rate = 2.925$

Hence, the temperature was changing at a rate of 2.925 degrees Celsius in 2005

Read more about average rates at:

brainly.com/question/8728504

4 0

1 year ago

The length of a rectangular prism is 8

Lena [83]

Surface area is:

$W=width$
$L=length$
$H=height$

$S=2*(L*W+L*H+W*H)$

replacing the values

$250=2*(8*W+8*1+W*1)$

$250=2*(8*W+8+W)$

$250=2*(9*W+8)$

dived each member by 2

$125=9W+8$

$9W=125-8$

$9W=117$

$\boxed{\boxed{W=13~unit~of~measure}}$

The volume of a rectangular prism is

$V=L*H*W$

$V=8*1*13$

$\boxed{\boxed{V=104~unit~of~volume}}$

3 0

3 years ago

12 POINTS PLEASE HELP

Elina [12.6K]

Answer: Supplementary angles have a sum of 180 degrees so you would subtract 79 from 180 to determine the value of its supplement which would be 101 degrees

While complementary angles have a sum of 80 degrees. So you would subtract 59 from 80 and that leaves you with 21, so the complement angle is equal to 21 degrees

Step-by-step explanation:

8 0

3 years ago