What is the unit for the volume of a plastic block

Writing an Equation with Two Variables Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He s

makkiz [27]

3.95m + 8.95b = 47.65

6 0

3 years ago

15, 11, 7, 3, -1, ... explicit formula and recursive formula

monitta

Recursive formula is: $a_n = a_{n-1} -4$

Explicit formula is: $a_n = 19-4n$

Step-by-step explanation:

Given sequence is:

15,11,7,3,-1

Here

$a_1 = 15\\a_2 = 11\\a_3 = 7$

First of all, we have to find the common difference

Common difference is the difference between consecutive terms of an arithmetic sequence

So,

$d = a_2-a_1 = 11-15 = -4\\d = a_3-a_2 = 7-11 = -4$

Recursive Formula:

A recursive formula is used to find the next term of an arithmetic sequence using previous term and common difference

General form of recursive formula for a given common difference d is:

$a_n = a_{n-1} + d$

Putting the value of d

$a_n = a_{n-1} -4$

Explicit Formula:

The explicit formula is given by:

$a_n = a_1 + (n-1)d$

Putting the first term and common difference

$a_n = 15 + (n-1)(-4)\\a_n = 15 -4n+4\\a_n = 19-4n$

Hence,

Recursive formula is: $a_n = a_{n-1} -4$

Explicit formula is: $a_n = 19-4n$

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

4 years ago

△ABC is a right triangle. m∠A = 32° m∠B=90°; AC = 9 and AB=5. Choose the expression used to find BC?

Westkost [7]

Answer:

Step-by-step explanation:

The diagram of the right angle triangle is shown in the attached photo.

From the given right angle triangle,

AC represents the hypotenuse of the right angle triangle.

With m∠32 as the reference angle,

BC represents the adjacent side of the right angle triangle.

AB represents the opposite side of the right angle triangle.

To determine BC, we would apply

the Sine trigonometric ratio which is expressed as

Sin θ= opposite side/hypotenuse. Therefore, the expression used to find BC is

Sin 32 = BC/9

BC = 9Sin32

5 0

3 years ago

Read 2 more answers

PLSSSS HELLPPPPP!!!

eimsori [14]

Answer: B, D, and F

Step-by-step explanation:

Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.

By understanding those info, it should be easier to answer.

For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).

For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.

For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.

For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.

For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).

For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.

Hopefully this helps!

3 0

3 years ago

Read 2 more answers

PLEASE HELP ME MATCH THEM!! I’m in need please. Match each value with its formula ABC.

dezoksy [38]

Answers are like this: 1)Cos C 2)Cos B 3)Cos A 4)a 5)b 6)c all of them are different type of writing cosines law , just this.

4 0

3 years ago

Read 2 more answers