(3+7i)+(-5+2)-(-7+6i)

Given:

[tex]a_1=-4[/tex] and [tex]a_n=a_{n-1}+9[/tex] where [tex]n\geq 2[/tex].

To find:

The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

[tex]a_n=a_{n-1}+d[/tex]

Where, d is the common difference.

We have,

[tex]a_n=a_{n-1}+9[/tex]

Here, d=9.

The first term of the AP is [tex]a_1=-4[/tex].

The explicit formula for an AP is:

[tex]a_n=a_1+(n-1)d[/tex]

Substituting [tex]a_1=-4[/tex] and [tex]d=9[/tex], we get

[tex]a_n=-4+(n-1)9[/tex]

[tex]a_n=-4+9n-9[/tex]

[tex]a_n=-13+9n[/tex]

Therefore, the required explicit formula for the given sequence is [tex]a_n=-13+9n[/tex].

Answer:

our mama

Step-by-step explanation:

Answer:

20% of students picked the vanilla cake.

Step-by-step explanation:

Total number of students: 16 + 64 = 80

Proportion that chose vanilla cake: 16/80 (simplify by dividing by 16) = 1/5 = 0.2 * 100 = 20%

Answer:

Step-by-step explanation:

Answer:  son is 12 years old

Step-by-step explanation:

Let m be the age of mother, f be the age of father, and s be the age of son.

m + f + s = 28 x 3 = 84

m + son = 23 x 2 = 46

f + s = 25 x 2 = 50

m = 46 - s

f = 50 - s

we plug in m and f to the functions.

we get 46 - s + 50 - s + s = 84  

96 - s = 84  

-s = -12  

s = 12 years old

Answer:  B, 10.11km

Step-by-step explanation:

If All 6 members swam 1685 meters... you would have 10110 meters in total...

since 1000 meters is one kilometer.., it would be b... 10.11km

Essay Definition of Citizenship:

In the literal sense a person who lives in a city is said to be a citizen. But in political science we use this terminal different sense. To find the real meaning of the term we are to go back to ancient Greece. Aristotle, the father of political science, called a person a citizen who would take a direct and active part in the administration of the state.

Since the states in ancient Greece were as small as the cities of Greece it was possible for the residents of the city-state to make law, to adjudicate and even enforce the law. These citizens did not include the slaves, women and manual workers. In such a case the number of the citizens was just half of the entire population. The position was not very different in the medieval Europe. There were serfs in the place of the slaves.

The position is quite different in modern nation-states, where all adult people are citizens who need not take an active part in the administration of the country, because it is not possible for the entire population of a vast country to meet together and make law and interpret it or enforce it.

Answer:

(4.5, -0.5)

Step-by-step explanation:

dude just use desmos its so much easier :)

Answer:

Not Perpendicular

Step-by-step explanation:

Answer:

dependant

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

sqrt of (x_2 - x_1)^2 + (y_2 - y_1)^2

sqrt of (7 - -5)^2 + (2 - 7)^2

sqrt of (12)^2 + (-5)^2

sqrt of (144 + 25)

sqrt of (169)

13

x = cos (47) = Pi/3, cos 47 = X/3

Step-by-step explanation:

x = 2.05, 2.05 (2.05)²

Answer:

10 Newtons to the left

Step-by-step explanation:

The overpowering force is the pull that is 30 Newton's left. We subtract this from the smaller force of 20!

[tex]30N-20N=10N[/tex]

Have a Happy April Fool's XD

Given:

A figure of a right angle triangle.

To find:

The value of x to the nearest hundredth.

Solution:

In a right angle triangle,

[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]

In the given triangle,

[tex]\tan 62^\circ=\dfrac{x}{35}[/tex]

[tex]1.8807=\dfrac{x}{35}[/tex]

[tex]1.88073\times 35=x[/tex]

[tex]65.82555=x[/tex]

Approx the value to the nearest hundredth (two decimal place).

[tex]x\approx 65.83[/tex]

Therefore, the value of x is 65.83 units.

Answer:

caca

Step-by-step explanation:

caca

Answer:

Here we don't have the options, so i will answer in a general way.

Every sentence that has the general structure like:

"something is greater than something"

"something is smaller than something"

"Something is no greater than something"

"something is no smaller than something"

There are a lot of other sentences, for example the ones like:

"N is at least equal to M" written as: N ≥ M

"N is at most equal to M" written as: N ≤ M

And there may be other ways to represent inequalities in sentences, but this is the most general way

Then the given sentence:

"One-half + k greater than 18"

This is written as:

1/2 + k > 18

Which is an inequality.

Answer:

ABD

Step-by-step explanation:

took one for the team

Answer:

49

Step-by-step explanation:

x=180-131=49

Answer:

replace x with number then multiply or divide

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

The given number to be increased = 36

The percentage by which the number is increased = 50%

In increasing a number by a percentage, we find the value of the percentage increase of the number and add to the number as follows;

50% of 36 + 36 = 50/100 × 36 + 36 = 54

Second method

The find the number obtained by increasing a number by a given percentage 'x', we add 100 to the give percentage and multiply the result by the number and hen divide the final result by 100 as follows;

36 increased by 50% = (100 + 50) × 36/100 = 54

Answer:

no

Step-by-step explanation:

The given ratios 3/11 and 17/6 are not proportional.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given ratios are 3/11 and 17/6.

In order to check the proportionality cross multiplication is done as follows,

3/11 and 17/6

Cross multiply the numerators and denominators as follows,

3 × 6 and 17 × 11

=> 18 and 187

Since the cross multiplication of the numerators and denominators are not equal, the given ratios are not proportional.

Hence, the given ratios are not proportional.

To know more about ratio and proportion click on,

brainly.com/question/14279414

#SPJ5

Answer:

y=3

Step-by-step explanation:

good luck

Answer:

10 people didn't answer the servey

Step-by-step explanation:

servey=80 people

70= answered the servey

so we should take the difference:-

80–70= 10

Hope I got the right answer!

Answer:

18

Step-by-step explanation:

Answer:

Use substitution to receive: 18

Step-by-step explanation:

6a - 4b when a = 5 and b =  3

6(5) - 4(3)

30 - 12 = 18

Answer:

Hi how are you doing today Jasmine

Answer:

Step-by-step explanation:

the formula for the circumference of a circle is 2rπ

the formula for the area of a circle is (r^2)π

the formula for the diameter of a circle is 2r

π=3.14

---------------------------------------------------------------

1. diameter =2r.    since diameter=24, r=12

2. circumference=2rπ.     since circumference = 314.     314=2rπ       r=49.9746

3. circumference=2rπ                                           area=(r^2)π

   since r=7, circumference=14π=43.98229      since r=7, area is 49π=153.9380

4. Since the diameter is 20 the radius is 10. so just insert it into the formulas as before:    circumference=20π=62.8318 and area=100π=314.15926

5.  the formula for the diameter is 2r=d        2(18)=d,    36=d

6. 2rπ=circumference = 2(5)π=10π=31.415926

Hope that helps :)

Answer:

Step-by-step explanation:

A line can be expressed as

y=mx+b, where m=slope and b=y intercept

We are given m=6 and b=-5 so we can just use them in the equation.

y=6x-5

So C is the correct answer.

The question has missing details. However, general questions that could be asked is as follows:

(1) The number of miles traveled after using (say) 5 gallons

(2) The number of gallons used after traveling for (say) 36 miles

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]s = 120 - 12r[/tex]

A linear equation is represented as:

[tex]y = c + mx[/tex]

Where

[tex]c =y\ intercept[/tex] and

[tex]m = slope.[/tex]

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

[tex]s = 120 - 12r[/tex]

[tex]s = 120 - 12 * 5[/tex]

[tex]s = 120 - 60[/tex]

[tex]s = 60[/tex]

60 miles traveled

Solving (b): s = 36

[tex]s = 120 - 12r[/tex]

[tex]36 = 120 - 2r[/tex]

Collect like terms

[tex]2r =120 -36[/tex]

[tex]2r =84[/tex]

Solve for r

[tex]r = 42[/tex]

42 gallons used

Answer:

The answer is 48pi

Step-by-step explanation:

Circumference: C=2*pi*radius

The radius of Circle B is 2*12=24

Thus, the circumference of Circle B is: 2*pi*24=48pi

Answer:

1) 5x = 25

x = 5

2) y/4 = 7

y = 28

3) n/2 = 19

n = 38

4) 6g = 54

g = 9

5) 8b = 64

b = 8

6) h/6 = 11

h = 66

7) f/4 = 9

f = 36

8) 7s = 49

s = 7