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2 years ago

10

In the following exercises, write the first five terms of the sequence whose general term is given.

1 answer:

Sladkaya [172]2 years ago

4 0

Answer:

2, 9 , 16 , 23 , 30 ......

Step-by-step explanation:

$a_n = 7n - 5$

$a_1 = 7*1 - 5 = 7-5 = 2\\\\a_2 = 7*2 - 5 = 14 - 5 = 9\\\\a_3 = 7*3 - 5 = 21 - 5 = 16\\\\a_4= 7*4 - 5 = 28 - 5 = 23\\\\a_5= 7*5 - 5 = 35 - 5 = 30$

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Find the value of x I’d appreciate if you could explain as well if not that’s fine

Kipish [7]

All the angles in a circle equal to 360 degrees. So basically just add up all the known values: 23+23+15=61 and then subtract that from 360: 360-61=299.

You can also do 23+23+15+x=360. Adding it all becomes 61+x=360, subtract 61 from both sides of the equation, and you get x=299.

(Something to help remember is that the angle is obtuse, meaning it’s automatically more than 90 degrees, hope this helps!)

7 0

3 years ago

A salad dressing cars for three parts oil and one part vinegar Addy uses Tuesday but spoons of vinegar and 6 tablespoons of oil

Natasha2012 [34]

Answer:

The quantities used by Manuela were correct

Step-by-step explanation:

The question is

Did Manuela use the right quantities?

Let

x -----> the parts of oil

y ----> the parts of vinegar

we know that

The ratio of the parts of oil by the parts of vinegar of recipe is

Determine the relation used by Manuela

Compare with the recipe

Is true, the quantities are proportional

therefore

The quantities used by Manuela were correct

4 0

3 years ago

Which ordered pair is a solution to the equation y=-2/5x+9

Vladimir79 [104]

Answer:

c

Step-by-step explanation:

i am not sure i but i think it is

6 0

3 years ago

Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

frez [133]

Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

$\alpha = -1$ and $\beta = 1$

For a homogeneous linear differential equation, the repeated value m is given as:

$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

$m^2 + 2m + 2= 0$

This corresponds to the homogeneous linear differential equation

$y" + 2y' + 2y = 0$

6 0

3 years ago

What percent of increase for a population that changed from 25,000 to 30,000

tiny-mole [99]

percent of increase for a population that changed from 25,000 to 30,000

Increase in population = 30,000 - 25,000 = 5000

So, the increase in population is 5000

To find percent of increase , we divide the increase in population by initial population.

So percent of increase = $\frac{5000}{25000}$ * 100

= 0.2 * 100

= 20 %

20% of increase for a population that changed from 25,000 to 30,000.

7 0

3 years ago

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