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3 years ago

Left parenthesis one third divided by one half right parenthesis plus five sixths

Mathematics

1 answer:

Paladinen [302]3 years ago

5 0

Answer:

One Whole number, one over two.

Step-by-step explanation:

Please find the attached file for the Solution.

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What is the sum of the first 30 terms of the arithmetic series 27,32,37,42,47

AlladinOne [14]

Answer:

2985

Step-by-step explanation:

The formula for the sum of an arithmetic series is given by the formula:

$S=\frac{k}{2}(a+x_k)$

Where k is the number of terms, a is the first term, and x_k is the last term. In this case, the last term is the 30th term because we are finding the sum of the first 30 terms.

So, we need to find the 30th term. To do so, we can write an explicit formula for our sequence.

The standard form for an arithmetic sequence is given by the formula:

$x_n=a+d(n-1)$

Where a is the initial term and d is the common difference.

From our sequence, we can see that the initial term a is 27. The common difference is 5 because each term is 5 greater than the previous one.

So, our equation is:

$x_n=27+5(n-1)$

So, to find the 30th term, substitute 30 for n:

$x_{30}=27+5(30-1)$

Subtract:

$x_{30}=27+5(29)$

Multiply:

$x_{30}=27+145$

Add:

$x_{30}=172$

So, the 30th term is 172.

Now, substitute this into our original sum formula:

$S=\frac{k}{2}(a+x_k)$

Substitute 30 for k (the amount of terms), 27 for a (the first term), and 172 for x_k (the 30th and last term). So:

$S=\frac{30}{2}(27+172)$

Reduce and add:

$S=15(199)$

Multiply:

$S=2985$

So, the sum of the first 30 terms is 2985.

3 0

4 years ago

The number of point a baketball team cored ha 3,4, and 5 a factor. What i the leat number of point the team could have cored

Inga [223]

The least number of point the team could have scored is the LCM of the factors given = 60.

Factor 1 = 3

Factor 2 = 4

Factor 3 = 5

therefore, LCM

= 4 * 5 * 3 [because they don't have any factors in common]

= 60

The positive integers that can divide a number evenly are referred to as factors. Let's say we multiply two numbers to produce a result. The product's factors are the number that is multiplied.

Each number has a self-referential element. There are several examples of factors in everyday life, such putting candies in a box, arranging numbers in a certain pattern, giving chocolates to kids, etc. We must apply the multiplication or division method in order to determine a number's factors.

To learn more about LCM

brainly.com/question/20739723

#SPJ4

6 0

1 year ago

Please match the following 3 terms to their definitions.

yan [13]

Answer:

See attached

Step-by-step explanation:

Refer to picture

8 0

3 years ago

Which is an example of a substitution mutation?

natka813 [3]

Answer:

1. Such a substitution could: change a codon to one that encodes a different amino acid and cause a small change in the protein produced. For example, sickle cell anemia is caused by a substitution in the beta-hemoglobin gene, which alters a single amino acid in the protein produced.

2. A - Mutations are sometimes helpful, sometimes harmful, and sometimes neutral

Step-by-step explanation:

7 0

3 years ago

What is the constant rate of change of (5,80) (4,64) and (6,96)

sveticcg [70]

Answer:

Step-by-step explanation:

The existence of the constant rate of change is given the ratio of y to x is the same. Then:

$k_{1} = \frac{80}{5}$