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PolarNik [594]
4 years ago
6

How do i calculate? All the way to s_75. It’s so long

Mathematics
1 answer:
mina [271]4 years ago
7 0

Answer:

  -675

Step-by-step explanation:

The sum can be broken into parts that you know. Here, one of those parts is the sum of numbers 1 to n. That sum is given by n(n+1)/2.

\displaystyle S_{75}=\sum\limits_{n=1}^{75}{(67-2n)}=\sum\limits_{n=1}^{75}{67}-2\sum\limits_{n=1}^{75}{n}\\\\=75\cdot 67-2\dfrac{75(75+1)}{2}=75(67-76)\\\\=\bf{-675}

__

Another way to do this is to realize the sequence of numbers is an arithmetic sequence with a first term of 65 and a last term of 67-2·75 = -83.

The sum of an arithmetic sequence is found by multiplying the number of terms by their average value. Their average value is the average of the first and last terms.

The average value of those 75 terms is (65 +(-83))/2 = -9, so their sum is ...

  75(-9) = -675

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Please help me answer this!!
Aleksandr [31]

The value of x from the given expression is 5/6

<h3>Expansion of equation</h3>

Given the expression to expand expressed as:

15 = 3/5(6x + 20)

We are to determine the value of x

15(5) = 3(6x + 20)

Expand

75 = 18x +60

Collect like terms

18x = 75 - 60

18x = 15

x = 15/18

x = 5/6

Hence the value of x from the given expression is 5/6

Learn more on equation here:  brainly.com/question/13763238

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5 0
2 years ago
Michael can paint 1/2 of a room every 1/3 of an hour. How many rooms can Michael paint in 1
Alecsey [184]

Answer:

1.5 rooms

Step-by-step explanation:

1/2 x 3

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3 years ago
What is 13 - x = -7 what is x in this equation
Zielflug [23.3K]

Answer:

x = 20

(hope i helped)

3 0
3 years ago
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Let f (x) = |2). Write a function g whose graph is a vertical shrink by a factor of
Talja [164]

Answer:

This is poorly written, so i will answer it as it was:

"Let f (x) = |2). Write a function g(x) whose graph is a vertical shrink by a factor of  A, followed by a translation 2 units up of the graph of f."

I don't really know what you do mean by I2), so i will answer it in a general way.

First, we do a vertical shrink of factor A.

A must be a number smaller than one and larger than zero., then if g(x) is a vertical shrink of factor A of the graph of f(x), we have that:

g(x) = A*f(x)

As 0 < A < 1

We will have that the graph of g(x) is a vertical compression of the graph of f(x)

Now we do a vertical shift of 2 units up.

A general vertical shift of N units up is written as:

g(x) = f(x) + N

Where N is a positive number.

So in our case, we have:

g(x) = A*f(x) + 2.

Where you will need to replace the values of A and f(x) depending on what the actual question says,

5 0
4 years ago
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vivado [14]
If four croissants cost $2.60, you divide 2.60/4 and get .65.

That means that one croissant costs .65 cents.

If you multiply .65 x 7, you get $4.55.

It costs $4.55 to purchase 7 croissants.
5 0
3 years ago
Read 2 more answers
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