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malfutka [58]
3 years ago
10

Find the smallest positive integer value of n for which 225n is a multiple of 540.​

Mathematics
1 answer:
krek1111 [17]3 years ago
5 0

Answer:

mark me as brainliest and follow and like my answer

Step-by-step explanation:

225n=540

n=2.4

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The arithmetic sequence a; is defined by the formula:
Morgarella [4.7K]

Answer:

The sum of the first 650 terms of the given arithmetic sequence is 2,322,775

Step-by-step explanation:

The first term here is 4

while the nth term would be ai = a(i-1) + 11

Kindly note that i and 1 are subscript of a

Mathematically, the sum of n terms of an arithmetic sequence can be calculated using the formula

Sn = n/2[2a + (n-1)d)

Here, our n is 650, a is 4, d is the difference between two successive terms which is 11.

Plugging these values, we have

Sn = (650/2) (2(4) + (650-1)11)

Sn = 325(8 + 7,139)

Sn = 325(7,147)

Sn = 2,322,775

6 0
3 years ago
39/250 in simplest form
OleMash [197]
Getting the simplest form of a fraction is the same with getting its lowest term. Reducing fractions to its lowest term is a very simple thing to do. Here's how to simplify fractions:

There are two ways in simplifying fractions. The first method is to equally divide both numerator and denominator which results to only whole numbers. Getting the GCF (Greatest Common Factor) or GCD (Greatest Common Divisor) is the second method.

As to the fraction above, 39/250, the second method is applicable.
Let us get the GCF of 39 and 250
39= 1,3,13,39
250= 1, 2, 5,  10, 25, 50, 125, 250

Therefore, the GCF of 39 and 250 is 1. We can conclude then that 39/250 is already on its simplest form thus;
  <u>39</u>  ÷     <u>1</u> is equal to     <u>39</u>
 250       1                       250



7 0
3 years ago
The exponential model A = 661.7 e^0.011t describes the population, A, of a country in millions, t years after 2003. Use the mode
faust18 [17]

Answer:

661.7 million

Step-by-step explanation:

Given the exponential model :

A = 661.7 e^0.011t

The general form of an Exponential model is expresses as :

A = A0 * e^rt

Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed

From the question t = time after 2003

Therefore, A0 = initial population, which is the population in 2003

Therefore, A0 = 661.7

Or we could put t = 0 in the equation and solve for A

A = 661.7 e^0.011(0)

A = 661.7 * 1

A = 661.7

Hence, population in 2003 is 661.7 million

7 0
3 years ago
Please help (Will make brainliest!!) <br> Solve and explain steps
vlada-n [284]
If angle ec is a bisector then angles Bec and ced are the same making them both 4x+1. we know a line segment equals 180°. so if we take the 11x-12 and add it to 2(4x+1) we end up with 19x-10=180. you add 10 to both sides and get 19x=190 then you divide by both sides. you'll end up with x=10. you plug In the 10 with aeb and aec and add them together to get 139°. if you're looking for the equation, it's 15x-11.
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3 years ago
A botanist wants to determine if a fertilizer is effective
Maru [420]

Based on the information provided, the statement which is a valid conclusion is only: option A.

<h3>What is a valid conclusion?</h3>

A valid conclusion can be defined as a statement that is essentially based on empirical data, formulated hypotheses, facts, and prudent experimental design, which entails that relationship between data variables are reasonable, credible and valid.

Based on the information provided, the statement which is a valid conclusion is that the botanist can make inferences for all plants, and he can draw his conclusion that the fertilizer would help all plants grow taller.

Read more on valid conclusion here: brainly.com/question/892663

#SPJ1

3 0
2 years ago
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