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Alex17521 [72]
3 years ago
12

Find the sum of the squares of the first five natural numbers.

Mathematics
1 answer:
creativ13 [48]3 years ago
7 0

Answer:

55

Step-by-step explanation:

The sum of the squares of the first five natural numbers.

Natural numbers are the positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well.

Therefore:

(1^2) + (2^2) + (3^2) + (4^2) + (5^2)

1 + 4 + 9 + 16 + 25

55

Mark as brainliest if helped thanks!!!

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-3(10+-5)/(10-(-5))^2
marysya [2.9K]

Answer:

Step-by-step explanation:

-3(10 + (-5) / (10 - (-5))^2 =

-3(10 - 5) / (10 + 5)^2

-3(5) / (15^2)

-15 / 225 reduces to -1/15

7 0
3 years ago
Dream borrowed $500 at an interest rate of 8%. At the end of the loan period, she had to pay back $530. How long was the loan fo
Aliun [14]

Answer:

The loan was for 9 months only

Step-by-step explanation:

In this question, we are concerned with calculating the time taken for a loan om an interest to be paid back

To calculate this, we use the simple interest formula

Mathematically;

I = PRT/100

where P is the principal which is the amount borrowed and that is $500 according to the question

R is the rate which is 8% according to the question

Interest can be calculated by subtracting the principal from the  amount paid back = 530-500 = 30$

We now plug these values into the equation

30 = (500 × 8× T)/100

100 × 30 = 4000T

T = 3000/4000

T = 0.75 (same as 0.75 × 12 months = 9 months)

5 0
3 years ago
This year a softball coach raise $1200 for new equipment that is 4% less then he raise last year how much did he raise last year
charle [14.2K]
1200*96%
1200 \times 0.96
8 0
3 years ago
When the population mean and standard deviation are known, what distribution is used for the analysis of the sample?.
Kitty [74]

When the population mean and standard deviation are known, you use the standard normal distribution

<h3>How to determine the distribution?</h3>

There are several probability distributions; these include

  • Normal distribution
  • Poisson distribution
  • Chi square distribution
  • Binomial distribution
  • Etc

Of all these distribution, only the standard normal distribution can be used when the population mean and standard deviation are known,

Note that it is also referred to as the z-distribution

Read more about probability distributions at:

brainly.com/question/24756209

7 0
2 years ago
Which set of graphs can be used to find the solution set to 3e* &gt; &gt;-x?
kobusy [5.1K]

The attached graph represents the solution set of 3e^x > \frac 12^x

<h3>How to determine the graph?</h3>

The complete options are not given.

So, I would plot the graph that represents the solution set

The inequality is given as:

3e^x > \frac 12^x

Start by splitting the inequalities as follows:

f(x) > 3e^x

g(x) > \frac 12^x

The above means that we plot the graphs of f(x) and g(x) to represent the solution set

See attachment

Read more about inequalities at:

brainly.com/question/25275758

#SPJ1

7 0
2 years ago
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