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3 years ago

What is the explicit formula for the arithmetic sequence –7.5, –9, –10.5, –12...

Mathematics

1 answer:

natita [175]3 years ago

3 0

Answer:

= - 1.5n - 6

Step-by-step explanation:

Given that the sequence is arithmetic with n th term ( explicit formula

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 7.5 and d = - 9 - (- 7.5) = - 9 + 7.5 = - 1.5

= - 7.5 - 1.5(n - 1) = - 7.5 - 1.5n + 1.5 = - 1.5n - 6

Step-by-step explanation:

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The population of a city in 2005 was 15,000. By 2015, the city's population had grown to 45,000 people. Assuming that the popula

Ede4ka [16]

Answer:

The population of the city in the year 2025 will be 85,000.

Step-by-step explanation:

The population of the city in year 2005 = 15,000

The population of the city in the year 2015 = 45,000

⇒ The change in population in 10 years

= Population in year 2015 - Population in the year 2005

= 45,000 - 15, 000

= 30,000

⇒ The change in population in 10 years = 30,000

Now, the population in the year 2015 = 45, 000

Let us assume the number of population in the year 2025 = m

Here, according to the question:

Since, the CHANGE OF RATE is a linear growth since 2005.

⇒ The change in population in each 10 years = 30,000

⇒ The change in population in next 10 years

= Population in year 2025 - Population in the year 2015

or, 30, 000 = m - 45, 000

⇒ m = 30,000 + 45,000 = 85,000

or, m = 85,000

Hence, the population of the city in the year 2025 will be 85,000.

3 0

3 years ago

Determine which value best represents each point on the number line below?

DaniilM [7]

A= 0.5 B=1 C=2.5 D=3.5

5 0

3 years ago

WILL GIVE BRAINLIEST!!!!!!

Dahasolnce [82]

<h2>Greetings!</h2>

Answer:

x = 67.5

Step-by-step explanation:

Because AB and NP lines are parrallel, we can find out the scale factor by dividing size MA by MN.

This works because you find out what the MA size has to be multiplied to to get to MN, which will also work in reverse to find angle MB from MP.

71.5 - 22 = MA = 49.5

71.5 ÷ 49.5 = $\frac{13}{9}$

So to get to line MP length, line MB had to be multiplied by $\frac{13}{9}$ to get 97.5

The reverse of this is dividing 97.5 by $\frac{13}{9}$ :

97.5 ÷ $\frac{9}{13}$ = 67.5

So x = 67.5

<h2>Hope this helps!</h2>

4 0

3 years ago

Use this equation to find dy/dx. 3y cos x = x2 + y2

Art [367]

Given: 3y cos x = x² + y²

Define $y' = \frac{dy}{dx}$

Then by implicit differentiation, obtain
3y' cos(x) - 3y sin(x) = 2x + 2y y'
y' [3 cos(x) - 2y] = 2x + 3y sinx)

Answer:
$\frac{dy}{dx} = \frac{2x+3y \, sin(x)}{3cos(x)-2y}$

5 0

3 years ago

Evaluate 1/3m-1-1/2n when m=21 and n=12

stellarik [79]

Answer:

Step-by-step explanation:

8 0

3 years ago