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Alexxandr [17]
3 years ago
11

If a sentence is defined recursively by f(0)=3 and f(n+1) = f(n) +5 for n ? 0, then f(2) is A) 2 B) 3 C) 5 D) 8

Mathematics
1 answer:
VladimirAG [237]3 years ago
8 0

The recursive formula f(n+1)=f(n)+5 means that the next term in the sequence is 5 more than the previous one.

So, we know that we start from f(0)=3, which means that the next term is

f(1) = f(0)+5 = 3+5 = 8

Similarly,

f(2) = f(1)+5 = 8+5 = 13

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The cost of going to a drive-in movie theater is $5. 50 per person plus $2. 75 per car. Use the dropdown menu to create an algeb
Pie

The algebraic equation which shows that the number of <em>x </em>people can go to the drive-in with one car for $19. 25 is,

5.50x+2.75=19.25

<h3>How to write algebraic equation?</h3>

Algebraic equation are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic equation-

  • Identify all the factors of the expression.
  • Assume a variable for the changing values.
  • Put a coefficient for the variable, if there is any rate of change of variable.
  • Use constant numbers for the fixed values.

The cost of going to a drive-in movie theater is $5.50 per person plus $2.75 per car. It has to create an algebraic equation that shows how many people can go to the drive-in with one car for $19. 25.

Suppose the total number of people in the car for drive-in movie theater is <em>x</em>. Thus, the cost of the<em> </em><em>x</em> person to watch the movie is,

C=5.50x

As the cost of one car is $2.75. Thus, the total cost of watching a movie by x person will be,

C=5.50x+2.75

Now, the total cost, drive-in with one car for $19. 25. This cost must be equal to the above expression for total cost. Therefore,

C=5.50x+2.75=19.25

Hence, the algebraic equation which shows that the number of <em>x </em>people can go to the drive-in with one car for $19. 25 is,

5.50x+2.75=19.25

Learn more about the algebraic expression here;

brainly.com/question/2164351

7 0
2 years ago
A road sign is in the shape of a regular pentagon. What is the measure of each angle on the sign? Round to the nearest tenth. Se
dangina [55]

Answer:

Option D) 108 degrees

Step-by-step explanation:

We are given the following in the question:

A regular pentagon.

Thus, all the angles of the pentagon are equal.

Angle sum property of pentagon:

  • In a pentagon, the sum of all the interior angle of a pentagon is 540 degrees.

Measure of each angle =

=\dfrac{\text{Measure of angle}}{\text{Number of angle}} = \dfrac{540}{5} = 108^\circ

Thus, the measure of each angle on the sign is 108 degrees.

Option D) 108 degrees

6 0
2 years ago
I need with the volume!!!
murzikaleks [220]

Answer:

Tim read 81 pages.

Step-by-step explanation:

If he read 3 pages on Monday and tripled the amount of pages he red based of off the amount of pages he read the previous day, he would have read 3 pages on Monday, 9 pages on Tuesday, 27 pages on Wednesday, and 81 pages on Thursday.

Monday: 3

Tuesday: 3 x 3 = 9

Wednesday: 9 x 3 = 27

Thursday: 27 x 3 = 81

I hope this helps you! :D

8 0
2 years ago
Henry’s age is 10 years less than 4 times Paul’s age. If the sum of their ages is equal to 25 years, find the age of each boy.
Mazyrski [523]

Answer:

Henry is 18 and Paul is 7

Step-by-step explanation:

I figured it out in my head.

6 0
3 years ago
Read 2 more answers
Simplify:
liubo4ka [24]

Answer:

78.5÷3.14=25

56.272×41.2=2318.4064

429×338×712=103241424

447÷513=0.8713450292

Step-by-step explanation:

hope it will help!

8 0
2 years ago
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